id	sid	tid	token	lemma	pos
fuelectenerg-3144	1	1	a	a	DET
fuelectenerg-3144	1	2	quantum	quantum	ADJ
fuelectenerg-3144	1	3	algorithm	algorithm	NOUN
fuelectenerg-3144	1	4	for	for	ADP
fuelectenerg-3144	1	5	automata	automata	NOUN
fuelectenerg-3144	1	6	encoding	encode	VERB
fuelectenerg-3144	1	7	edison	edison	PROPN
fuelectenerg-3144	1	8	tsai	tsai	PROPN
fuelectenerg-3144	1	9	and	and	CCONJ
fuelectenerg-3144	1	10	marek	marek	PROPN
fuelectenerg-3144	1	11	perkowski	perkowski	PROPN
fuelectenerg-3144	1	12	department	department	PROPN
fuelectenerg-3144	1	13	of	of	ADP
fuelectenerg-3144	1	14	electrical	electrical	ADJ
fuelectenerg-3144	1	15	and	and	CCONJ
fuelectenerg-3144	1	16	computer	computer	NOUN
fuelectenerg-3144	1	17	engineering	engineering	PROPN
fuelectenerg-3144	1	18	portland	portland	PROPN
fuelectenerg-3144	1	19	state	state	PROPN
fuelectenerg-3144	1	20	university	university	PROPN
fuelectenerg-3144	1	21	abstract	abstract	NOUN
fuelectenerg-3144	1	22	encoding	encoding	NOUN
fuelectenerg-3144	1	23	of	of	ADP
fuelectenerg-3144	1	24	finite	finite	ADJ
fuelectenerg-3144	1	25	automata	automata	NOUN
fuelectenerg-3144	1	26	or	or	CCONJ
fuelectenerg-3144	1	27	state	state	NOUN
fuelectenerg-3144	1	28	machines	machine	NOUN
fuelectenerg-3144	1	29	is	be	AUX
fuelectenerg-3144	1	30	critical	critical	ADJ
fuelectenerg-3144	1	31	to	to	ADP
fuelectenerg-3144	1	32	modern	modern	ADJ
fuelectenerg-3144	1	33	digital	digital	ADJ
fuelectenerg-3144	1	34	logic	logic	NOUN
fuelectenerg-3144	1	35	design	design	NOUN
fuelectenerg-3144	1	36	methods	method	NOUN
fuelectenerg-3144	1	37	for	for	ADP
fuelectenerg-3144	1	38	sequential	sequential	ADJ
fuelectenerg-3144	1	39	circuits	circuit	NOUN
fuelectenerg-3144	1	40	.	.	PUNCT
fuelectenerg-3144	2	1	encoding	encoding	NOUN
fuelectenerg-3144	2	2	is	be	AUX
fuelectenerg-3144	2	3	the	the	DET
fuelectenerg-3144	2	4	process	process	NOUN
fuelectenerg-3144	2	5	of	of	ADP
fuelectenerg-3144	2	6	assigning	assign	VERB
fuelectenerg-3144	2	7	to	to	ADP
fuelectenerg-3144	2	8	every	every	DET
fuelectenerg-3144	2	9	state	state	NOUN
fuelectenerg-3144	2	10	,	,	PUNCT
fuelectenerg-3144	2	11	input	input	NOUN
fuelectenerg-3144	2	12	value	value	NOUN
fuelectenerg-3144	2	13	,	,	PUNCT
fuelectenerg-3144	2	14	and	and	CCONJ
fuelectenerg-3144	2	15	output	output	NOUN
fuelectenerg-3144	2	16	value	value	NOUN
fuelectenerg-3144	2	17	of	of	ADP
fuelectenerg-3144	2	18	a	a	DET
fuelectenerg-3144	2	19	state	state	NOUN
fuelectenerg-3144	2	20	machine	machine	NOUN
fuelectenerg-3144	2	21	a	a	DET
fuelectenerg-3144	2	22	binary	binary	ADJ
fuelectenerg-3144	2	23	string	string	NOUN
fuelectenerg-3144	2	24	,	,	PUNCT
fuelectenerg-3144	2	25	which	which	PRON
fuelectenerg-3144	2	26	is	be	AUX
fuelectenerg-3144	2	27	used	use	VERB
fuelectenerg-3144	2	28	to	to	PART
fuelectenerg-3144	2	29	represent	represent	VERB
fuelectenerg-3144	2	30	that	that	DET
fuelectenerg-3144	2	31	state	state	NOUN
fuelectenerg-3144	2	32	,	,	PUNCT
fuelectenerg-3144	2	33	input	input	NOUN
fuelectenerg-3144	2	34	value	value	NOUN
fuelectenerg-3144	2	35	,	,	PUNCT
fuelectenerg-3144	2	36	or	or	CCONJ
fuelectenerg-3144	2	37	output	output	NOUN
fuelectenerg-3144	2	38	value	value	NOUN
fuelectenerg-3144	2	39	in	in	ADP
fuelectenerg-3144	2	40	digital	digital	ADJ
fuelectenerg-3144	2	41	logic	logic	NOUN
fuelectenerg-3144	2	42	.	.	PUNCT
fuelectenerg-3144	3	1	usually	usually	ADV
fuelectenerg-3144	3	2	,	,	PUNCT
fuelectenerg-3144	3	3	one	one	PRON
fuelectenerg-3144	3	4	wishes	wish	VERB
fuelectenerg-3144	3	5	to	to	PART
fuelectenerg-3144	3	6	choose	choose	VERB
fuelectenerg-3144	3	7	an	an	DET
fuelectenerg-3144	3	8	encoding	encoding	NOUN
fuelectenerg-3144	3	9	that	that	PRON
fuelectenerg-3144	3	10	,	,	PUNCT
fuelectenerg-3144	3	11	when	when	SCONJ
fuelectenerg-3144	3	12	the	the	DET
fuelectenerg-3144	3	13	state	state	NOUN
fuelectenerg-3144	3	14	machine	machine	NOUN
fuelectenerg-3144	3	15	is	be	AUX
fuelectenerg-3144	3	16	implemented	implement	VERB
fuelectenerg-3144	3	17	as	as	ADP
fuelectenerg-3144	3	18	a	a	DET
fuelectenerg-3144	3	19	digital	digital	ADJ
fuelectenerg-3144	3	20	logic	logic	NOUN
fuelectenerg-3144	3	21	circuit	circuit	NOUN
fuelectenerg-3144	3	22	,	,	PUNCT
fuelectenerg-3144	3	23	will	will	AUX
fuelectenerg-3144	3	24	optimize	optimize	VERB
fuelectenerg-3144	3	25	some	some	DET
fuelectenerg-3144	3	26	aspect	aspect	NOUN
fuelectenerg-3144	3	27	of	of	ADP
fuelectenerg-3144	3	28	that	that	DET
fuelectenerg-3144	3	29	circuit	circuit	NOUN
fuelectenerg-3144	3	30	.	.	PUNCT
fuelectenerg-3144	4	1	for	for	ADP
fuelectenerg-3144	4	2	instance	instance	NOUN
fuelectenerg-3144	4	3	,	,	PUNCT
fuelectenerg-3144	4	4	one	one	PRON
fuelectenerg-3144	4	5	might	might	AUX
fuelectenerg-3144	4	6	wish	wish	VERB
fuelectenerg-3144	4	7	to	to	PART
fuelectenerg-3144	4	8	encode	encode	VERB
fuelectenerg-3144	4	9	in	in	ADP
fuelectenerg-3144	4	10	such	such	DET
fuelectenerg-3144	4	11	a	a	DET
fuelectenerg-3144	4	12	way	way	NOUN
fuelectenerg-3144	4	13	as	as	SCONJ
fuelectenerg-3144	4	14	to	to	PART
fuelectenerg-3144	4	15	minimize	minimize	VERB
fuelectenerg-3144	4	16	power	power	NOUN
fuelectenerg-3144	4	17	dissipation	dissipation	NOUN
fuelectenerg-3144	4	18	or	or	CCONJ
fuelectenerg-3144	4	19	silicon	silicon	NOUN
fuelectenerg-3144	4	20	area	area	NOUN
fuelectenerg-3144	4	21	.	.	PUNCT
fuelectenerg-3144	5	1	for	for	ADP
fuelectenerg-3144	5	2	most	most	ADJ
fuelectenerg-3144	5	3	such	such	ADJ
fuelectenerg-3144	5	4	optimization	optimization	NOUN
fuelectenerg-3144	5	5	objectives	objective	NOUN
fuelectenerg-3144	5	6	,	,	PUNCT
fuelectenerg-3144	5	7	no	no	DET
fuelectenerg-3144	5	8	method	method	NOUN
fuelectenerg-3144	5	9	to	to	PART
fuelectenerg-3144	5	10	find	find	VERB
fuelectenerg-3144	5	11	the	the	DET
fuelectenerg-3144	5	12	exact	exact	ADJ
fuelectenerg-3144	5	13	solution	solution	NOUN
fuelectenerg-3144	5	14	,	,	PUNCT
fuelectenerg-3144	5	15	other	other	ADJ
fuelectenerg-3144	5	16	than	than	ADP
fuelectenerg-3144	5	17	a	a	DET
fuelectenerg-3144	5	18	straightforward	straightforward	ADJ
fuelectenerg-3144	5	19	exhaustive	exhaustive	ADJ
fuelectenerg-3144	5	20	search	search	NOUN
fuelectenerg-3144	5	21	,	,	PUNCT
fuelectenerg-3144	5	22	is	be	AUX
fuelectenerg-3144	5	23	known	know	VERB
fuelectenerg-3144	5	24	.	.	PUNCT
fuelectenerg-3144	6	1	recent	recent	ADJ
fuelectenerg-3144	6	2	progress	progress	NOUN
fuelectenerg-3144	6	3	towards	towards	ADP
fuelectenerg-3144	6	4	producing	produce	VERB
fuelectenerg-3144	6	5	a	a	DET
fuelectenerg-3144	6	6	quantum	quantum	ADJ
fuelectenerg-3144	6	7	computer	computer	NOUN
fuelectenerg-3144	6	8	of	of	ADP
fuelectenerg-3144	6	9	large	large	ADJ
fuelectenerg-3144	6	10	enough	enough	ADJ
fuelectenerg-3144	6	11	scale	scale	NOUN
fuelectenerg-3144	6	12	to	to	PART
fuelectenerg-3144	6	13	surpass	surpass	VERB
fuelectenerg-3144	6	14	modern	modern	ADJ
fuelectenerg-3144	6	15	supercomputers	supercomputer	NOUN
fuelectenerg-3144	6	16	has	have	AUX
fuelectenerg-3144	6	17	made	make	VERB
fuelectenerg-3144	6	18	it	it	PRON
fuelectenerg-3144	6	19	increasingly	increasingly	ADV
fuelectenerg-3144	6	20	relevant	relevant	ADJ
fuelectenerg-3144	6	21	to	to	PART
fuelectenerg-3144	6	22	consider	consider	VERB
fuelectenerg-3144	6	23	how	how	SCONJ
fuelectenerg-3144	6	24	quantum	quantum	ADJ
fuelectenerg-3144	6	25	computers	computer	NOUN
fuelectenerg-3144	6	26	may	may	AUX
fuelectenerg-3144	6	27	be	be	AUX
fuelectenerg-3144	6	28	used	use	VERB
fuelectenerg-3144	6	29	to	to	PART
fuelectenerg-3144	6	30	solve	solve	VERB
fuelectenerg-3144	6	31	problems	problem	NOUN
fuelectenerg-3144	6	32	of	of	ADP
fuelectenerg-3144	6	33	practical	practical	ADJ
fuelectenerg-3144	6	34	interest	interest	NOUN
fuelectenerg-3144	6	35	.	.	PUNCT
fuelectenerg-3144	7	1	a	a	DET
fuelectenerg-3144	7	2	quantum	quantum	ADJ
fuelectenerg-3144	7	3	computer	computer	NOUN
fuelectenerg-3144	7	4	using	use	VERB
fuelectenerg-3144	7	5	grover	grover	PROPN
fuelectenerg-3144	7	6	’s	’s	PART
fuelectenerg-3144	7	7	well	well	ADV
fuelectenerg-3144	7	8	-	-	PUNCT
fuelectenerg-3144	7	9	known	know	VERB
fuelectenerg-3144	7	10	search	search	NOUN
fuelectenerg-3144	7	11	algorithm	algorithm	NOUN
fuelectenerg-3144	7	12	can	can	AUX
fuelectenerg-3144	7	13	perform	perform	VERB
fuelectenerg-3144	7	14	exhaustive	exhaustive	ADJ
fuelectenerg-3144	7	15	searches	search	NOUN
fuelectenerg-3144	7	16	that	that	PRON
fuelectenerg-3144	7	17	would	would	AUX
fuelectenerg-3144	7	18	be	be	AUX
fuelectenerg-3144	7	19	impractical	impractical	ADJ
fuelectenerg-3144	7	20	on	on	ADP
fuelectenerg-3144	7	21	a	a	DET
fuelectenerg-3144	7	22	classical	classical	ADJ
fuelectenerg-3144	7	23	computer	computer	NOUN
fuelectenerg-3144	7	24	,	,	PUNCT
fuelectenerg-3144	7	25	due	due	ADP
fuelectenerg-3144	7	26	to	to	ADP
fuelectenerg-3144	7	27	the	the	DET
fuelectenerg-3144	7	28	speedup	speedup	NOUN
fuelectenerg-3144	7	29	provided	provide	VERB
fuelectenerg-3144	7	30	by	by	ADP
fuelectenerg-3144	7	31	grover	grover	PROPN
fuelectenerg-3144	7	32	’s	’s	PART
fuelectenerg-3144	7	33	algorithm	algorithm	NOUN
fuelectenerg-3144	7	34	.	.	PUNCT
fuelectenerg-3144	8	1	therefore	therefore	ADV
fuelectenerg-3144	8	2	,	,	PUNCT
fuelectenerg-3144	8	3	we	we	PRON
fuelectenerg-3144	8	4	propose	propose	VERB
fuelectenerg-3144	8	5	to	to	PART
fuelectenerg-3144	8	6	use	use	VERB
fuelectenerg-3144	8	7	grover	grover	NOUN
fuelectenerg-3144	8	8	’s	’s	PART
fuelectenerg-3144	8	9	algorithm	algorithm	NOUN
fuelectenerg-3144	8	10	to	to	PART
fuelectenerg-3144	8	11	find	find	VERB
fuelectenerg-3144	8	12	optimal	optimal	ADJ
fuelectenerg-3144	8	13	encodings	encoding	NOUN
fuelectenerg-3144	8	14	for	for	ADP
fuelectenerg-3144	8	15	finite	finite	ADJ
fuelectenerg-3144	8	16	state	state	NOUN
fuelectenerg-3144	8	17	machines	machine	NOUN
fuelectenerg-3144	8	18	via	via	ADP
fuelectenerg-3144	8	19	exhaustive	exhaustive	ADJ
fuelectenerg-3144	8	20	search	search	NOUN
fuelectenerg-3144	8	21	.	.	PUNCT
fuelectenerg-3144	9	1	we	we	PRON
fuelectenerg-3144	9	2	demonstrate	demonstrate	VERB
fuelectenerg-3144	9	3	the	the	DET
fuelectenerg-3144	9	4	design	design	NOUN
fuelectenerg-3144	9	5	of	of	ADP
fuelectenerg-3144	9	6	quantum	quantum	ADJ
fuelectenerg-3144	9	7	circuits	circuit	NOUN
fuelectenerg-3144	9	8	that	that	PRON
fuelectenerg-3144	9	9	allow	allow	VERB
fuelectenerg-3144	9	10	grover	grover	PROPN
fuelectenerg-3144	9	11	’s	’s	PART
fuelectenerg-3144	9	12	algorithm	algorithm	NOUN
fuelectenerg-3144	9	13	to	to	PART
fuelectenerg-3144	9	14	be	be	AUX
fuelectenerg-3144	9	15	used	use	VERB
fuelectenerg-3144	9	16	for	for	ADP
fuelectenerg-3144	9	17	this	this	DET
fuelectenerg-3144	9	18	purpose	purpose	NOUN
fuelectenerg-3144	9	19	.	.	PUNCT
fuelectenerg-3144	10	1	the	the	DET
fuelectenerg-3144	10	2	quantum	quantum	PROPN
fuelectenerg-3144	10	3	circuit	circuit	NOUN
fuelectenerg-3144	10	4	design	design	NOUN
fuelectenerg-3144	10	5	methods	method	NOUN
fuelectenerg-3144	10	6	that	that	PRON
fuelectenerg-3144	10	7	we	we	PRON
fuelectenerg-3144	10	8	introduce	introduce	VERB
fuelectenerg-3144	10	9	are	be	AUX
fuelectenerg-3144	10	10	potentially	potentially	ADV
fuelectenerg-3144	10	11	applicable	applicable	ADJ
fuelectenerg-3144	10	12	to	to	ADP
fuelectenerg-3144	10	13	other	other	ADJ
fuelectenerg-3144	10	14	problems	problem	NOUN
fuelectenerg-3144	10	15	as	as	ADV
fuelectenerg-3144	10	16	well	well	ADV
fuelectenerg-3144	10	17	.	.	PUNCT
fuelectenerg-3144	11	1	1	1	NUM
fuelectenerg-3144	11	2	introduction	introduction	NOUN
fuelectenerg-3144	11	3	although	although	SCONJ
fuelectenerg-3144	11	4	the	the	DET
fuelectenerg-3144	11	5	concept	concept	NOUN
fuelectenerg-3144	11	6	of	of	ADP
fuelectenerg-3144	11	7	quantum	quantum	NOUN
fuelectenerg-3144	11	8	computing	computing	NOUN
fuelectenerg-3144	11	9	has	have	AUX
fuelectenerg-3144	11	10	existed	exist	VERB
fuelectenerg-3144	11	11	for	for	ADP
fuelectenerg-3144	11	12	decades	decade	NOUN
fuelectenerg-3144	11	13	,	,	PUNCT
fuelectenerg-3144	11	14	only	only	ADV
fuelectenerg-3144	11	15	recently	recently	ADV
fuelectenerg-3144	11	16	has	have	AUX
fuelectenerg-3144	11	17	it	it	PRON
fuelectenerg-3144	11	18	appeared	appear	VERB
fuelectenerg-3144	11	19	that	that	SCONJ
fuelectenerg-3144	11	20	quantum	quantum	ADJ
fuelectenerg-3144	11	21	computers	computer	NOUN
fuelectenerg-3144	11	22	of	of	ADP
fuelectenerg-3144	11	23	sufficient	sufficient	ADJ
fuelectenerg-3144	11	24	scale	scale	NOUN
fuelectenerg-3144	11	25	to	to	PART
fuelectenerg-3144	11	26	solve	solve	VERB
fuelectenerg-3144	11	27	realistic	realistic	ADJ
fuelectenerg-3144	11	28	problems	problem	NOUN
fuelectenerg-3144	11	29	may	may	AUX
fuelectenerg-3144	11	30	become	become	VERB
fuelectenerg-3144	11	31	available	available	ADJ
fuelectenerg-3144	11	32	in	in	ADP
fuelectenerg-3144	11	33	the	the	DET
fuelectenerg-3144	11	34	near	near	ADJ
fuelectenerg-3144	11	35	future.1	future.1	PROPN
fuelectenerg-3144	11	36	the	the	DET
fuelectenerg-3144	11	37	development	development	NOUN
fuelectenerg-3144	11	38	of	of	ADP
fuelectenerg-3144	11	39	such	such	ADJ
fuelectenerg-3144	11	40	quantum	quantum	ADJ
fuelectenerg-3144	11	41	computers	computer	NOUN
fuelectenerg-3144	11	42	is	be	AUX
fuelectenerg-3144	11	43	of	of	ADP
fuelectenerg-3144	11	44	great	great	ADJ
fuelectenerg-3144	11	45	interest	interest	NOUN
fuelectenerg-3144	11	46	because	because	SCONJ
fuelectenerg-3144	11	47	they	they	PRON
fuelectenerg-3144	11	48	are	be	AUX
fuelectenerg-3144	11	49	capable	capable	ADJ
fuelectenerg-3144	11	50	of	of	ADP
fuelectenerg-3144	11	51	solving	solve	VERB
fuelectenerg-3144	11	52	certain	certain	ADJ
fuelectenerg-3144	11	53	classes	class	NOUN
fuelectenerg-3144	11	54	of	of	ADP
fuelectenerg-3144	11	55	problems	problem	NOUN
fuelectenerg-3144	11	56	with	with	ADP
fuelectenerg-3144	11	57	a	a	DET
fuelectenerg-3144	11	58	time	time	NOUN
fuelectenerg-3144	11	59	complexity	complexity	NOUN
fuelectenerg-3144	11	60	better	well	ADJ
fuelectenerg-3144	11	61	than	than	ADP
fuelectenerg-3144	11	62	the	the	DET
fuelectenerg-3144	11	63	best	good	ADJ
fuelectenerg-3144	11	64	achievable	achievable	ADJ
fuelectenerg-3144	11	65	with	with	ADP
fuelectenerg-3144	11	66	a	a	DET
fuelectenerg-3144	11	67	classical	classical	ADJ
fuelectenerg-3144	11	68	computer	computer	NOUN
fuelectenerg-3144	11	69	.	.	PUNCT
fuelectenerg-3144	12	1	grover	grover	PROPN
fuelectenerg-3144	12	2	’s	’s	PART
fuelectenerg-3144	12	3	1see	1see	PROPN
fuelectenerg-3144	13	1	[	[	X
fuelectenerg-3144	13	2	1	1	NUM
fuelectenerg-3144	13	3	]	]	PUNCT
fuelectenerg-3144	13	4	,	,	PUNCT
fuelectenerg-3144	13	5	introduction	introduction	NOUN
fuelectenerg-3144	13	6	,	,	PUNCT
fuelectenerg-3144	13	7	paragraph	paragraph	NOUN
fuelectenerg-3144	13	8	6	6	NUM
fuelectenerg-3144	13	9	:	:	PUNCT
fuelectenerg-3144	13	10	“	"	PUNCT
fuelectenerg-3144	13	11	a	a	DET
fuelectenerg-3144	13	12	physical	physical	ADJ
fuelectenerg-3144	13	13	quantum	quantum	NOUN
fuelectenerg-3144	13	14	computer	computer	NOUN
fuelectenerg-3144	13	15	.	.	PUNCT
fuelectenerg-3144	13	16	.	.	PUNCT
fuelectenerg-3144	14	1	.	.	PUNCT
fuelectenerg-3144	15	1	is	be	AUX
fuelectenerg-3144	15	2	still	still	ADV
fuelectenerg-3144	15	3	an	an	DET
fuelectenerg-3144	15	4	outstanding	outstanding	ADJ
fuelectenerg-3144	15	5	challenge	challenge	NOUN
fuelectenerg-3144	15	6	.	.	PUNCT
fuelectenerg-3144	16	1	however	however	ADV
fuelectenerg-3144	16	2	,	,	PUNCT
fuelectenerg-3144	16	3	in	in	ADP
fuelectenerg-3144	16	4	recent	recent	ADJ
fuelectenerg-3144	16	5	work	work	NOUN
fuelectenerg-3144	16	6	,	,	PUNCT
fuelectenerg-3144	16	7	physical	physical	ADJ
fuelectenerg-3144	16	8	qubits	qubit	NOUN
fuelectenerg-3144	16	9	.	.	PUNCT
fuelectenerg-3144	16	10	.	.	PUNCT
fuelectenerg-3144	16	11	.	.	PUNCT
fuelectenerg-3144	17	1	have	have	AUX
fuelectenerg-3144	17	2	reached	reach	VERB
fuelectenerg-3144	17	3	the	the	DET
fuelectenerg-3144	17	4	point	point	NOUN
fuelectenerg-3144	17	5	where	where	SCONJ
fuelectenerg-3144	17	6	errors	error	NOUN
fuelectenerg-3144	17	7	are	be	AUX
fuelectenerg-3144	17	8	at	at	ADP
fuelectenerg-3144	17	9	or	or	CCONJ
fuelectenerg-3144	17	10	below	below	ADP
fuelectenerg-3144	17	11	the	the	DET
fuelectenerg-3144	17	12	threshold	threshold	NOUN
fuelectenerg-3144	17	13	,	,	PUNCT
fuelectenerg-3144	17	14	and	and	CCONJ
fuelectenerg-3144	17	15	networks	network	NOUN
fuelectenerg-3144	17	16	of	of	ADP
fuelectenerg-3144	17	17	4–9	4–9	NUM
fuelectenerg-3144	17	18	superconducting	superconducte	VERB
fuelectenerg-3144	17	19	qubits	qubit	NOUN
fuelectenerg-3144	17	20	with	with	ADP
fuelectenerg-3144	17	21	individual	individual	ADJ
fuelectenerg-3144	17	22	control	control	NOUN
fuelectenerg-3144	17	23	and	and	CCONJ
fuelectenerg-3144	17	24	readout	readout	NOUN
fuelectenerg-3144	17	25	have	have	AUX
fuelectenerg-3144	17	26	been	be	AUX
fuelectenerg-3144	17	27	used	use	VERB
fuelectenerg-3144	17	28	to	to	PART
fuelectenerg-3144	17	29	show	show	VERB
fuelectenerg-3144	17	30	concepts	concept	NOUN
fuelectenerg-3144	17	31	of	of	ADP
fuelectenerg-3144	17	32	error	error	NOUN
fuelectenerg-3144	17	33	correction	correction	NOUN
fuelectenerg-3144	17	34	.	.	PUNCT
fuelectenerg-3144	18	1	over	over	ADP
fuelectenerg-3144	18	2	the	the	DET
fuelectenerg-3144	18	3	next	next	ADJ
fuelectenerg-3144	18	4	few	few	ADJ
fuelectenerg-3144	18	5	years	year	NOUN
fuelectenerg-3144	18	6	,	,	PUNCT
fuelectenerg-3144	18	7	the	the	DET
fuelectenerg-3144	18	8	field	field	NOUN
fuelectenerg-3144	18	9	will	will	AUX
fuelectenerg-3144	18	10	be	be	AUX
fuelectenerg-3144	18	11	in	in	ADP
fuelectenerg-3144	18	12	a	a	DET
fuelectenerg-3144	18	13	stage	stage	NOUN
fuelectenerg-3144	18	14	of	of	ADP
fuelectenerg-3144	18	15	building	build	VERB
fuelectenerg-3144	18	16	interesting	interesting	ADJ
fuelectenerg-3144	18	17	quantum	quantum	NOUN
fuelectenerg-3144	18	18	devices	device	NOUN
fuelectenerg-3144	18	19	with	with	ADP
fuelectenerg-3144	18	20	a	a	DET
fuelectenerg-3144	18	21	complexity	complexity	NOUN
fuelectenerg-3144	18	22	that	that	PRON
fuelectenerg-3144	18	23	could	could	AUX
fuelectenerg-3144	18	24	never	never	ADV
fuelectenerg-3144	18	25	be	be	AUX
fuelectenerg-3144	18	26	emulated	emulate	VERB
fuelectenerg-3144	18	27	in	in	ADP
fuelectenerg-3144	18	28	full	full	ADJ
fuelectenerg-3144	18	29	generality	generality	NOUN
fuelectenerg-3144	18	30	on	on	ADP
fuelectenerg-3144	18	31	a	a	DET
fuelectenerg-3144	18	32	classical	classical	ADJ
fuelectenerg-3144	18	33	computer	computer	NOUN
fuelectenerg-3144	18	34	(	(	PUNCT
fuelectenerg-3144	18	35	∼50	∼50	NOUN
fuelectenerg-3144	18	36	or	or	CCONJ
fuelectenerg-3144	18	37	more	more	ADJ
fuelectenerg-3144	18	38	qubits	qubit	NOUN
fuelectenerg-3144	18	39	)	)	PUNCT
fuelectenerg-3144	18	40	.	.	PUNCT
fuelectenerg-3144	18	41	”	"	PUNCT
fuelectenerg-3144	19	1	1	1	NUM
fuelectenerg-3144	19	2	a	a	DET
fuelectenerg-3144	19	3	quantum	quantum	ADJ
fuelectenerg-3144	19	4	algorithm	algorithm	NOUN
fuelectenerg-3144	19	5	for	for	ADP
fuelectenerg-3144	19	6	automata	automata	NOUN
fuelectenerg-3144	19	7	encoding	encode	VERB
fuelectenerg-3144	19	8	edison	edison	PROPN
fuelectenerg-3144	19	9	tsai	tsai	PROPN
fuelectenerg-3144	19	10	and	and	CCONJ
fuelectenerg-3144	19	11	marek	marek	PROPN
fuelectenerg-3144	19	12	perkowski	perkowski	PROPN
fuelectenerg-3144	19	13	department	department	PROPN
fuelectenerg-3144	19	14	of	of	ADP
fuelectenerg-3144	19	15	electrical	electrical	ADJ
fuelectenerg-3144	19	16	and	and	CCONJ
fuelectenerg-3144	19	17	computer	computer	NOUN
fuelectenerg-3144	19	18	engineering	engineering	PROPN
fuelectenerg-3144	19	19	portland	portland	PROPN
fuelectenerg-3144	19	20	state	state	PROPN
fuelectenerg-3144	19	21	university	university	PROPN
fuelectenerg-3144	19	22	abstract	abstract	NOUN
fuelectenerg-3144	19	23	encoding	encoding	NOUN
fuelectenerg-3144	19	24	of	of	ADP
fuelectenerg-3144	19	25	finite	finite	ADJ
fuelectenerg-3144	19	26	automata	automata	NOUN
fuelectenerg-3144	19	27	or	or	CCONJ
fuelectenerg-3144	19	28	state	state	NOUN
fuelectenerg-3144	19	29	machines	machine	NOUN
fuelectenerg-3144	19	30	is	be	AUX
fuelectenerg-3144	19	31	critical	critical	ADJ
fuelectenerg-3144	19	32	to	to	ADP
fuelectenerg-3144	19	33	modern	modern	ADJ
fuelectenerg-3144	19	34	digital	digital	ADJ
fuelectenerg-3144	19	35	logic	logic	NOUN
fuelectenerg-3144	19	36	design	design	NOUN
fuelectenerg-3144	19	37	methods	method	NOUN
fuelectenerg-3144	19	38	for	for	ADP
fuelectenerg-3144	19	39	sequential	sequential	ADJ
fuelectenerg-3144	19	40	circuits	circuit	NOUN
fuelectenerg-3144	19	41	.	.	PUNCT
fuelectenerg-3144	20	1	encoding	encoding	NOUN
fuelectenerg-3144	20	2	is	be	AUX
fuelectenerg-3144	20	3	the	the	DET
fuelectenerg-3144	20	4	process	process	NOUN
fuelectenerg-3144	20	5	of	of	ADP
fuelectenerg-3144	20	6	assigning	assign	VERB
fuelectenerg-3144	20	7	to	to	ADP
fuelectenerg-3144	20	8	every	every	DET
fuelectenerg-3144	20	9	state	state	NOUN
fuelectenerg-3144	20	10	,	,	PUNCT
fuelectenerg-3144	20	11	input	input	NOUN
fuelectenerg-3144	20	12	value	value	NOUN
fuelectenerg-3144	20	13	,	,	PUNCT
fuelectenerg-3144	20	14	and	and	CCONJ
fuelectenerg-3144	20	15	output	output	NOUN
fuelectenerg-3144	20	16	value	value	NOUN
fuelectenerg-3144	20	17	of	of	ADP
fuelectenerg-3144	20	18	a	a	DET
fuelectenerg-3144	20	19	state	state	NOUN
fuelectenerg-3144	20	20	machine	machine	NOUN
fuelectenerg-3144	20	21	a	a	DET
fuelectenerg-3144	20	22	binary	binary	ADJ
fuelectenerg-3144	20	23	string	string	NOUN
fuelectenerg-3144	20	24	,	,	PUNCT
fuelectenerg-3144	20	25	which	which	PRON
fuelectenerg-3144	20	26	is	be	AUX
fuelectenerg-3144	20	27	used	use	VERB
fuelectenerg-3144	20	28	to	to	PART
fuelectenerg-3144	20	29	represent	represent	VERB
fuelectenerg-3144	20	30	that	that	DET
fuelectenerg-3144	20	31	state	state	NOUN
fuelectenerg-3144	20	32	,	,	PUNCT
fuelectenerg-3144	20	33	input	input	NOUN
fuelectenerg-3144	20	34	value	value	NOUN
fuelectenerg-3144	20	35	,	,	PUNCT
fuelectenerg-3144	20	36	or	or	CCONJ
fuelectenerg-3144	20	37	output	output	NOUN
fuelectenerg-3144	20	38	value	value	NOUN
fuelectenerg-3144	20	39	in	in	ADP
fuelectenerg-3144	20	40	digital	digital	ADJ
fuelectenerg-3144	20	41	logic	logic	NOUN
fuelectenerg-3144	20	42	.	.	PUNCT
fuelectenerg-3144	21	1	usually	usually	ADV
fuelectenerg-3144	21	2	,	,	PUNCT
fuelectenerg-3144	21	3	one	one	PRON
fuelectenerg-3144	21	4	wishes	wish	VERB
fuelectenerg-3144	21	5	to	to	PART
fuelectenerg-3144	21	6	choose	choose	VERB
fuelectenerg-3144	21	7	an	an	DET
fuelectenerg-3144	21	8	encoding	encoding	NOUN
fuelectenerg-3144	21	9	that	that	PRON
fuelectenerg-3144	21	10	,	,	PUNCT
fuelectenerg-3144	21	11	when	when	SCONJ
fuelectenerg-3144	21	12	the	the	DET
fuelectenerg-3144	21	13	state	state	NOUN
fuelectenerg-3144	21	14	machine	machine	NOUN
fuelectenerg-3144	21	15	is	be	AUX
fuelectenerg-3144	21	16	implemented	implement	VERB
fuelectenerg-3144	21	17	as	as	ADP
fuelectenerg-3144	21	18	a	a	DET
fuelectenerg-3144	21	19	digital	digital	ADJ
fuelectenerg-3144	21	20	logic	logic	NOUN
fuelectenerg-3144	21	21	circuit	circuit	NOUN
fuelectenerg-3144	21	22	,	,	PUNCT
fuelectenerg-3144	21	23	will	will	AUX
fuelectenerg-3144	21	24	optimize	optimize	VERB
fuelectenerg-3144	21	25	some	some	DET
fuelectenerg-3144	21	26	aspect	aspect	NOUN
fuelectenerg-3144	21	27	of	of	ADP
fuelectenerg-3144	21	28	that	that	DET
fuelectenerg-3144	21	29	circuit	circuit	NOUN
fuelectenerg-3144	21	30	.	.	PUNCT
fuelectenerg-3144	22	1	for	for	ADP
fuelectenerg-3144	22	2	instance	instance	NOUN
fuelectenerg-3144	22	3	,	,	PUNCT
fuelectenerg-3144	22	4	one	one	PRON
fuelectenerg-3144	22	5	might	might	AUX
fuelectenerg-3144	22	6	wish	wish	VERB
fuelectenerg-3144	22	7	to	to	PART
fuelectenerg-3144	22	8	encode	encode	VERB
fuelectenerg-3144	22	9	in	in	ADP
fuelectenerg-3144	22	10	such	such	DET
fuelectenerg-3144	22	11	a	a	DET
fuelectenerg-3144	22	12	way	way	NOUN
fuelectenerg-3144	22	13	as	as	SCONJ
fuelectenerg-3144	22	14	to	to	PART
fuelectenerg-3144	22	15	minimize	minimize	VERB
fuelectenerg-3144	22	16	power	power	NOUN
fuelectenerg-3144	22	17	dissipation	dissipation	NOUN
fuelectenerg-3144	22	18	or	or	CCONJ
fuelectenerg-3144	22	19	silicon	silicon	NOUN
fuelectenerg-3144	22	20	area	area	NOUN
fuelectenerg-3144	22	21	.	.	PUNCT
fuelectenerg-3144	23	1	for	for	ADP
fuelectenerg-3144	23	2	most	most	ADJ
fuelectenerg-3144	23	3	such	such	ADJ
fuelectenerg-3144	23	4	optimization	optimization	NOUN
fuelectenerg-3144	23	5	objectives	objective	NOUN
fuelectenerg-3144	23	6	,	,	PUNCT
fuelectenerg-3144	23	7	no	no	DET
fuelectenerg-3144	23	8	method	method	NOUN
fuelectenerg-3144	23	9	to	to	PART
fuelectenerg-3144	23	10	find	find	VERB
fuelectenerg-3144	23	11	the	the	DET
fuelectenerg-3144	23	12	exact	exact	ADJ
fuelectenerg-3144	23	13	solution	solution	NOUN
fuelectenerg-3144	23	14	,	,	PUNCT
fuelectenerg-3144	23	15	other	other	ADJ
fuelectenerg-3144	23	16	than	than	ADP
fuelectenerg-3144	23	17	a	a	DET
fuelectenerg-3144	23	18	straightforward	straightforward	ADJ
fuelectenerg-3144	23	19	exhaustive	exhaustive	ADJ
fuelectenerg-3144	23	20	search	search	NOUN
fuelectenerg-3144	23	21	,	,	PUNCT
fuelectenerg-3144	23	22	is	be	AUX
fuelectenerg-3144	23	23	known	know	VERB
fuelectenerg-3144	23	24	.	.	PUNCT
fuelectenerg-3144	24	1	recent	recent	ADJ
fuelectenerg-3144	24	2	progress	progress	NOUN
fuelectenerg-3144	24	3	towards	towards	ADP
fuelectenerg-3144	24	4	producing	produce	VERB
fuelectenerg-3144	24	5	a	a	DET
fuelectenerg-3144	24	6	quantum	quantum	ADJ
fuelectenerg-3144	24	7	computer	computer	NOUN
fuelectenerg-3144	24	8	of	of	ADP
fuelectenerg-3144	24	9	large	large	ADJ
fuelectenerg-3144	24	10	enough	enough	ADJ
fuelectenerg-3144	24	11	scale	scale	NOUN
fuelectenerg-3144	24	12	to	to	PART
fuelectenerg-3144	24	13	surpass	surpass	VERB
fuelectenerg-3144	24	14	modern	modern	ADJ
fuelectenerg-3144	24	15	supercomputers	supercomputer	NOUN
fuelectenerg-3144	24	16	has	have	AUX
fuelectenerg-3144	24	17	made	make	VERB
fuelectenerg-3144	24	18	it	it	PRON
fuelectenerg-3144	24	19	increasingly	increasingly	ADV
fuelectenerg-3144	24	20	relevant	relevant	ADJ
fuelectenerg-3144	24	21	to	to	PART
fuelectenerg-3144	24	22	consider	consider	VERB
fuelectenerg-3144	24	23	how	how	SCONJ
fuelectenerg-3144	24	24	quantum	quantum	ADJ
fuelectenerg-3144	24	25	computers	computer	NOUN
fuelectenerg-3144	24	26	may	may	AUX
fuelectenerg-3144	24	27	be	be	AUX
fuelectenerg-3144	24	28	used	use	VERB
fuelectenerg-3144	24	29	to	to	PART
fuelectenerg-3144	24	30	solve	solve	VERB
fuelectenerg-3144	24	31	problems	problem	NOUN
fuelectenerg-3144	24	32	of	of	ADP
fuelectenerg-3144	24	33	practical	practical	ADJ
fuelectenerg-3144	24	34	interest	interest	NOUN
fuelectenerg-3144	24	35	.	.	PUNCT
fuelectenerg-3144	25	1	a	a	DET
fuelectenerg-3144	25	2	quantum	quantum	ADJ
fuelectenerg-3144	25	3	computer	computer	NOUN
fuelectenerg-3144	25	4	using	use	VERB
fuelectenerg-3144	25	5	grover	grover	PROPN
fuelectenerg-3144	25	6	’s	’s	PART
fuelectenerg-3144	25	7	well	well	ADV
fuelectenerg-3144	25	8	-	-	PUNCT
fuelectenerg-3144	25	9	known	know	VERB
fuelectenerg-3144	25	10	search	search	NOUN
fuelectenerg-3144	25	11	algorithm	algorithm	NOUN
fuelectenerg-3144	25	12	can	can	AUX
fuelectenerg-3144	25	13	perform	perform	VERB
fuelectenerg-3144	25	14	exhaustive	exhaustive	ADJ
fuelectenerg-3144	25	15	searches	search	NOUN
fuelectenerg-3144	25	16	that	that	PRON
fuelectenerg-3144	25	17	would	would	AUX
fuelectenerg-3144	25	18	be	be	AUX
fuelectenerg-3144	25	19	impractical	impractical	ADJ
fuelectenerg-3144	25	20	on	on	ADP
fuelectenerg-3144	25	21	a	a	DET
fuelectenerg-3144	25	22	classical	classical	ADJ
fuelectenerg-3144	25	23	computer	computer	NOUN
fuelectenerg-3144	25	24	,	,	PUNCT
fuelectenerg-3144	25	25	due	due	ADP
fuelectenerg-3144	25	26	to	to	ADP
fuelectenerg-3144	25	27	the	the	DET
fuelectenerg-3144	25	28	speedup	speedup	NOUN
fuelectenerg-3144	25	29	provided	provide	VERB
fuelectenerg-3144	25	30	by	by	ADP
fuelectenerg-3144	25	31	grover	grover	PROPN
fuelectenerg-3144	25	32	’s	’s	PART
fuelectenerg-3144	25	33	algorithm	algorithm	NOUN
fuelectenerg-3144	25	34	.	.	PUNCT
fuelectenerg-3144	26	1	therefore	therefore	ADV
fuelectenerg-3144	26	2	,	,	PUNCT
fuelectenerg-3144	26	3	we	we	PRON
fuelectenerg-3144	26	4	propose	propose	VERB
fuelectenerg-3144	26	5	to	to	PART
fuelectenerg-3144	26	6	use	use	VERB
fuelectenerg-3144	26	7	grover	grover	NOUN
fuelectenerg-3144	26	8	’s	’s	PART
fuelectenerg-3144	26	9	algorithm	algorithm	NOUN
fuelectenerg-3144	26	10	to	to	PART
fuelectenerg-3144	26	11	find	find	VERB
fuelectenerg-3144	26	12	optimal	optimal	ADJ
fuelectenerg-3144	26	13	encodings	encoding	NOUN
fuelectenerg-3144	26	14	for	for	ADP
fuelectenerg-3144	26	15	finite	finite	ADJ
fuelectenerg-3144	26	16	state	state	NOUN
fuelectenerg-3144	26	17	machines	machine	NOUN
fuelectenerg-3144	26	18	via	via	ADP
fuelectenerg-3144	26	19	exhaustive	exhaustive	ADJ
fuelectenerg-3144	26	20	search	search	NOUN
fuelectenerg-3144	26	21	.	.	PUNCT
fuelectenerg-3144	27	1	we	we	PRON
fuelectenerg-3144	27	2	demonstrate	demonstrate	VERB
fuelectenerg-3144	27	3	the	the	DET
fuelectenerg-3144	27	4	design	design	NOUN
fuelectenerg-3144	27	5	of	of	ADP
fuelectenerg-3144	27	6	quantum	quantum	ADJ
fuelectenerg-3144	27	7	circuits	circuit	NOUN
fuelectenerg-3144	27	8	that	that	PRON
fuelectenerg-3144	27	9	allow	allow	VERB
fuelectenerg-3144	27	10	grover	grover	PROPN
fuelectenerg-3144	27	11	’s	’s	PART
fuelectenerg-3144	27	12	algorithm	algorithm	NOUN
fuelectenerg-3144	27	13	to	to	PART
fuelectenerg-3144	27	14	be	be	AUX
fuelectenerg-3144	27	15	used	use	VERB
fuelectenerg-3144	27	16	for	for	ADP
fuelectenerg-3144	27	17	this	this	DET
fuelectenerg-3144	27	18	purpose	purpose	NOUN
fuelectenerg-3144	27	19	.	.	PUNCT
fuelectenerg-3144	28	1	the	the	DET
fuelectenerg-3144	28	2	quantum	quantum	PROPN
fuelectenerg-3144	28	3	circuit	circuit	NOUN
fuelectenerg-3144	28	4	design	design	NOUN
fuelectenerg-3144	28	5	methods	method	NOUN
fuelectenerg-3144	28	6	that	that	PRON
fuelectenerg-3144	28	7	we	we	PRON
fuelectenerg-3144	28	8	introduce	introduce	VERB
fuelectenerg-3144	28	9	are	be	AUX
fuelectenerg-3144	28	10	potentially	potentially	ADV
fuelectenerg-3144	28	11	applicable	applicable	ADJ
fuelectenerg-3144	28	12	to	to	ADP
fuelectenerg-3144	28	13	other	other	ADJ
fuelectenerg-3144	28	14	problems	problem	NOUN
fuelectenerg-3144	28	15	as	as	ADV
fuelectenerg-3144	28	16	well	well	ADV
fuelectenerg-3144	28	17	.	.	PUNCT
fuelectenerg-3144	29	1	1	1	NUM
fuelectenerg-3144	29	2	introduction	introduction	NOUN
fuelectenerg-3144	29	3	although	although	SCONJ
fuelectenerg-3144	29	4	the	the	DET
fuelectenerg-3144	29	5	concept	concept	NOUN
fuelectenerg-3144	29	6	of	of	ADP
fuelectenerg-3144	29	7	quantum	quantum	NOUN
fuelectenerg-3144	29	8	computing	computing	NOUN
fuelectenerg-3144	29	9	has	have	AUX
fuelectenerg-3144	29	10	existed	exist	VERB
fuelectenerg-3144	29	11	for	for	ADP
fuelectenerg-3144	29	12	decades	decade	NOUN
fuelectenerg-3144	29	13	,	,	PUNCT
fuelectenerg-3144	29	14	only	only	ADV
fuelectenerg-3144	29	15	recently	recently	ADV
fuelectenerg-3144	29	16	has	have	AUX
fuelectenerg-3144	29	17	it	it	PRON
fuelectenerg-3144	29	18	appeared	appear	VERB
fuelectenerg-3144	29	19	that	that	SCONJ
fuelectenerg-3144	29	20	quantum	quantum	ADJ
fuelectenerg-3144	29	21	computers	computer	NOUN
fuelectenerg-3144	29	22	of	of	ADP
fuelectenerg-3144	29	23	sufficient	sufficient	ADJ
fuelectenerg-3144	29	24	scale	scale	NOUN
fuelectenerg-3144	29	25	to	to	PART
fuelectenerg-3144	29	26	solve	solve	VERB
fuelectenerg-3144	29	27	realistic	realistic	ADJ
fuelectenerg-3144	29	28	problems	problem	NOUN
fuelectenerg-3144	29	29	may	may	AUX
fuelectenerg-3144	29	30	become	become	VERB
fuelectenerg-3144	29	31	available	available	ADJ
fuelectenerg-3144	29	32	in	in	ADP
fuelectenerg-3144	29	33	the	the	DET
fuelectenerg-3144	29	34	near	near	ADJ
fuelectenerg-3144	29	35	future.1	future.1	PROPN
fuelectenerg-3144	29	36	the	the	DET
fuelectenerg-3144	29	37	development	development	NOUN
fuelectenerg-3144	29	38	of	of	ADP
fuelectenerg-3144	29	39	such	such	ADJ
fuelectenerg-3144	29	40	quantum	quantum	ADJ
fuelectenerg-3144	29	41	computers	computer	NOUN
fuelectenerg-3144	29	42	is	be	AUX
fuelectenerg-3144	29	43	of	of	ADP
fuelectenerg-3144	29	44	great	great	ADJ
fuelectenerg-3144	29	45	interest	interest	NOUN
fuelectenerg-3144	29	46	because	because	SCONJ
fuelectenerg-3144	29	47	they	they	PRON
fuelectenerg-3144	29	48	are	be	AUX
fuelectenerg-3144	29	49	capable	capable	ADJ
fuelectenerg-3144	29	50	of	of	ADP
fuelectenerg-3144	29	51	solving	solve	VERB
fuelectenerg-3144	29	52	certain	certain	ADJ
fuelectenerg-3144	29	53	classes	class	NOUN
fuelectenerg-3144	29	54	of	of	ADP
fuelectenerg-3144	29	55	problems	problem	NOUN
fuelectenerg-3144	29	56	with	with	ADP
fuelectenerg-3144	29	57	a	a	DET
fuelectenerg-3144	29	58	time	time	NOUN
fuelectenerg-3144	29	59	complexity	complexity	NOUN
fuelectenerg-3144	29	60	better	well	ADJ
fuelectenerg-3144	29	61	than	than	ADP
fuelectenerg-3144	29	62	the	the	DET
fuelectenerg-3144	29	63	best	good	ADJ
fuelectenerg-3144	29	64	achievable	achievable	ADJ
fuelectenerg-3144	29	65	with	with	ADP
fuelectenerg-3144	29	66	a	a	DET
fuelectenerg-3144	29	67	classical	classical	ADJ
fuelectenerg-3144	29	68	computer	computer	NOUN
fuelectenerg-3144	29	69	.	.	PUNCT
fuelectenerg-3144	30	1	grover	grover	PROPN
fuelectenerg-3144	30	2	’s	’s	PART
fuelectenerg-3144	30	3	1see	1see	PROPN
fuelectenerg-3144	31	1	[	[	X
fuelectenerg-3144	31	2	1	1	NUM
fuelectenerg-3144	31	3	]	]	PUNCT
fuelectenerg-3144	31	4	,	,	PUNCT
fuelectenerg-3144	31	5	introduction	introduction	NOUN
fuelectenerg-3144	31	6	,	,	PUNCT
fuelectenerg-3144	31	7	paragraph	paragraph	NOUN
fuelectenerg-3144	31	8	6	6	NUM
fuelectenerg-3144	31	9	:	:	PUNCT
fuelectenerg-3144	31	10	“	"	PUNCT
fuelectenerg-3144	31	11	a	a	DET
fuelectenerg-3144	31	12	physical	physical	ADJ
fuelectenerg-3144	31	13	quantum	quantum	NOUN
fuelectenerg-3144	31	14	computer	computer	NOUN
fuelectenerg-3144	31	15	.	.	PUNCT
fuelectenerg-3144	31	16	.	.	PUNCT
fuelectenerg-3144	32	1	.	.	PUNCT
fuelectenerg-3144	33	1	is	be	AUX
fuelectenerg-3144	33	2	still	still	ADV
fuelectenerg-3144	33	3	an	an	DET
fuelectenerg-3144	33	4	outstanding	outstanding	ADJ
fuelectenerg-3144	33	5	challenge	challenge	NOUN
fuelectenerg-3144	33	6	.	.	PUNCT
fuelectenerg-3144	34	1	however	however	ADV
fuelectenerg-3144	34	2	,	,	PUNCT
fuelectenerg-3144	34	3	in	in	ADP
fuelectenerg-3144	34	4	recent	recent	ADJ
fuelectenerg-3144	34	5	work	work	NOUN
fuelectenerg-3144	34	6	,	,	PUNCT
fuelectenerg-3144	34	7	physical	physical	ADJ
fuelectenerg-3144	34	8	qubits	qubit	NOUN
fuelectenerg-3144	34	9	.	.	PUNCT
fuelectenerg-3144	34	10	.	.	PUNCT
fuelectenerg-3144	34	11	.	.	PUNCT
fuelectenerg-3144	35	1	have	have	AUX
fuelectenerg-3144	35	2	reached	reach	VERB
fuelectenerg-3144	35	3	the	the	DET
fuelectenerg-3144	35	4	point	point	NOUN
fuelectenerg-3144	35	5	where	where	SCONJ
fuelectenerg-3144	35	6	errors	error	NOUN
fuelectenerg-3144	35	7	are	be	AUX
fuelectenerg-3144	35	8	at	at	ADP
fuelectenerg-3144	35	9	or	or	CCONJ
fuelectenerg-3144	35	10	below	below	ADP
fuelectenerg-3144	35	11	the	the	DET
fuelectenerg-3144	35	12	threshold	threshold	NOUN
fuelectenerg-3144	35	13	,	,	PUNCT
fuelectenerg-3144	35	14	and	and	CCONJ
fuelectenerg-3144	35	15	networks	network	NOUN
fuelectenerg-3144	35	16	of	of	ADP
fuelectenerg-3144	35	17	4–9	4–9	NUM
fuelectenerg-3144	35	18	superconducting	superconducte	VERB
fuelectenerg-3144	35	19	qubits	qubit	NOUN
fuelectenerg-3144	35	20	with	with	ADP
fuelectenerg-3144	35	21	individual	individual	ADJ
fuelectenerg-3144	35	22	control	control	NOUN
fuelectenerg-3144	35	23	and	and	CCONJ
fuelectenerg-3144	35	24	readout	readout	NOUN
fuelectenerg-3144	35	25	have	have	AUX
fuelectenerg-3144	35	26	been	be	AUX
fuelectenerg-3144	35	27	used	use	VERB
fuelectenerg-3144	35	28	to	to	PART
fuelectenerg-3144	35	29	show	show	VERB
fuelectenerg-3144	35	30	concepts	concept	NOUN
fuelectenerg-3144	35	31	of	of	ADP
fuelectenerg-3144	35	32	error	error	NOUN
fuelectenerg-3144	35	33	correction	correction	NOUN
fuelectenerg-3144	35	34	.	.	PUNCT
fuelectenerg-3144	36	1	over	over	ADP
fuelectenerg-3144	36	2	the	the	DET
fuelectenerg-3144	36	3	next	next	ADJ
fuelectenerg-3144	36	4	few	few	ADJ
fuelectenerg-3144	36	5	years	year	NOUN
fuelectenerg-3144	36	6	,	,	PUNCT
fuelectenerg-3144	36	7	the	the	DET
fuelectenerg-3144	36	8	field	field	NOUN
fuelectenerg-3144	36	9	will	will	AUX
fuelectenerg-3144	36	10	be	be	AUX
fuelectenerg-3144	36	11	in	in	ADP
fuelectenerg-3144	36	12	a	a	DET
fuelectenerg-3144	36	13	stage	stage	NOUN
fuelectenerg-3144	36	14	of	of	ADP
fuelectenerg-3144	36	15	building	build	VERB
fuelectenerg-3144	36	16	interesting	interesting	ADJ
fuelectenerg-3144	36	17	quantum	quantum	NOUN
fuelectenerg-3144	36	18	devices	device	NOUN
fuelectenerg-3144	36	19	with	with	ADP
fuelectenerg-3144	36	20	a	a	DET
fuelectenerg-3144	36	21	complexity	complexity	NOUN
fuelectenerg-3144	36	22	that	that	PRON
fuelectenerg-3144	36	23	could	could	AUX
fuelectenerg-3144	36	24	never	never	ADV
fuelectenerg-3144	36	25	be	be	AUX
fuelectenerg-3144	36	26	emulated	emulate	VERB
fuelectenerg-3144	36	27	in	in	ADP
fuelectenerg-3144	36	28	full	full	ADJ
fuelectenerg-3144	36	29	generality	generality	NOUN
fuelectenerg-3144	36	30	on	on	ADP
fuelectenerg-3144	36	31	a	a	DET
fuelectenerg-3144	36	32	classical	classical	ADJ
fuelectenerg-3144	36	33	computer	computer	NOUN
fuelectenerg-3144	36	34	(	(	PUNCT
fuelectenerg-3144	36	35	∼50	∼50	NOUN
fuelectenerg-3144	36	36	or	or	CCONJ
fuelectenerg-3144	36	37	more	more	ADJ
fuelectenerg-3144	36	38	qubits	qubit	NOUN
fuelectenerg-3144	36	39	)	)	PUNCT
fuelectenerg-3144	36	40	.	.	PUNCT
fuelectenerg-3144	36	41	”	"	PUNCT
fuelectenerg-3144	37	1	1	1	NUM
fuelectenerg-3144	37	2	facta	facta	NOUN
fuelectenerg-3144	37	3	universitatis	universitatis	PROPN
fuelectenerg-3144	37	4	series	series	NOUN
fuelectenerg-3144	37	5	:	:	PUNCT
fuelectenerg-3144	37	6	electronics	electronic	NOUN
fuelectenerg-3144	37	7	and	and	CCONJ
fuelectenerg-3144	37	8	energetics	energetics	NOUN
fuelectenerg-3144	37	9	vol	vol	NOUN
fuelectenerg-3144	37	10	.	.	PUNCT
fuelectenerg-3144	37	11	33	33	NUM
fuelectenerg-3144	37	12	,	,	PUNCT
fuelectenerg-3144	37	13	no	no	DET
fuelectenerg-3144	37	14	2	2	NUM
fuelectenerg-3144	37	15	,	,	PUNCT
fuelectenerg-3144	37	16	june	june	PROPN
fuelectenerg-3144	37	17	2020	2020	NUM
fuelectenerg-3144	37	18	,	,	PUNCT
fuelectenerg-3144	37	19	pp	pp	ADV
fuelectenerg-3144	37	20	.	.	PUNCT
fuelectenerg-3144	37	21	169	169	NUM
fuelectenerg-3144	37	22	215	215	NUM
fuelectenerg-3144	37	23	https://doi.org/10.2298/fuee2002169	https://doi.org/10.2298/fuee2002169	NOUN
fuelectenerg-3144	37	24	t	t	PROPN
fuelectenerg-3144	37	25	edison	edison	PROPN
fuelectenerg-3144	37	26	tsai	tsai	PROPN
fuelectenerg-3144	37	27	,	,	PUNCT
fuelectenerg-3144	37	28	marek	marek	PROPN
fuelectenerg-3144	37	29	perkowski	perkowski	PROPN
fuelectenerg-3144	37	30	received	receive	VERB
fuelectenerg-3144	37	31	september	september	PROPN
fuelectenerg-3144	37	32	7	7	NUM
fuelectenerg-3144	37	33	,	,	PUNCT
fuelectenerg-3144	37	34	2017	2017	NUM
fuelectenerg-3144	37	35	;	;	PUNCT
fuelectenerg-3144	37	36	received	receive	VERB
fuelectenerg-3144	37	37	in	in	ADP
fuelectenerg-3144	37	38	revised	revise	VERB
fuelectenerg-3144	37	39	form	form	NOUN
fuelectenerg-3144	37	40	january	january	PROPN
fuelectenerg-3144	37	41	28	28	NUM
fuelectenerg-3144	37	42	,	,	PUNCT
fuelectenerg-3144	37	43	2020	2020	NUM
fuelectenerg-3144	37	44	corresponding	correspond	VERB
fuelectenerg-3144	37	45	author	author	NOUN
fuelectenerg-3144	37	46	:	:	PUNCT
fuelectenerg-3144	37	47	marek	marek	PROPN
fuelectenerg-3144	37	48	perkowski	perkowski	PROPN
fuelectenerg-3144	37	49	department	department	PROPN
fuelectenerg-3144	37	50	of	of	ADP
fuelectenerg-3144	37	51	electrical	electrical	ADJ
fuelectenerg-3144	37	52	and	and	CCONJ
fuelectenerg-3144	37	53	computer	computer	NOUN
fuelectenerg-3144	37	54	engineering	engineering	NOUN
fuelectenerg-3144	37	55	,	,	PUNCT
fuelectenerg-3144	37	56	portland	portland	PROPN
fuelectenerg-3144	37	57	state	state	PROPN
fuelectenerg-3144	37	58	university	university	PROPN
fuelectenerg-3144	37	59	,	,	PUNCT
fuelectenerg-3144	37	60	usa	usa	PROPN
fuelectenerg-3144	37	61	(	(	PUNCT
fuelectenerg-3144	37	62	e	e	NOUN
fuelectenerg-3144	37	63	-	-	NOUN
fuelectenerg-3144	37	64	mail	mail	NOUN
fuelectenerg-3144	37	65	:	:	PUNCT
fuelectenerg-3144	37	66	mperkows@ee.pdx.edu	mperkows@ee.pdx.edu	PROPN
fuelectenerg-3144	37	67	)	)	PUNCT
fuelectenerg-3144	37	68	facta	facta	NOUN
fuelectenerg-3144	37	69	universitatis	universitatis	PROPN
fuelectenerg-3144	37	70	series	series	NOUN
fuelectenerg-3144	37	71	:	:	PUNCT
fuelectenerg-3144	37	72	electronics	electronic	NOUN
fuelectenerg-3144	37	73	and	and	CCONJ
fuelectenerg-3144	37	74	energetics	energetics	NOUN
fuelectenerg-3144	37	75	vol	vol	NOUN
fuelectenerg-3144	37	76	.	.	PUNCT
fuelectenerg-3144	38	1	28	28	NUM
fuelectenerg-3144	38	2	,	,	PUNCT
fuelectenerg-3144	38	3	no	no	DET
fuelectenerg-3144	38	4	4	4	NUM
fuelectenerg-3144	38	5	,	,	PUNCT
fuelectenerg-3144	38	6	december	december	PROPN
fuelectenerg-3144	38	7	2015	2015	NUM
fuelectenerg-3144	38	8	,	,	PUNCT
fuelectenerg-3144	38	9	pp	pp	ADJ
fuelectenerg-3144	38	10	.	.	PUNCT
fuelectenerg-3144	39	1	507	507	NUM
fuelectenerg-3144	39	2	525	525	NUM
fuelectenerg-3144	39	3	doi	doi	NOUN
fuelectenerg-3144	39	4	:	:	PUNCT
fuelectenerg-3144	39	5	10.2298	10.2298	NUM
fuelectenerg-3144	39	6	/	/	SYM
fuelectenerg-3144	39	7	fuee1504507s	fuee1504507	VERB
fuelectenerg-3144	39	8	horizontal	horizontal	ADJ
fuelectenerg-3144	39	9	current	current	ADJ
fuelectenerg-3144	39	10	bipolar	bipolar	ADJ
fuelectenerg-3144	39	11	transistor	transistor	NOUN
fuelectenerg-3144	39	12	(	(	PUNCT
fuelectenerg-3144	39	13	hcbt	hcbt	NOUN
fuelectenerg-3144	39	14	)	)	PUNCT
fuelectenerg-3144	39	15	–	–	PUNCT
fuelectenerg-3144	39	16	a	a	DET
fuelectenerg-3144	39	17	low	low	ADJ
fuelectenerg-3144	39	18	-	-	PUNCT
fuelectenerg-3144	39	19	cost	cost	NOUN
fuelectenerg-3144	39	20	,	,	PUNCT
fuelectenerg-3144	39	21	high	high	ADJ
fuelectenerg-3144	39	22	-	-	PUNCT
fuelectenerg-3144	39	23	performance	performance	NOUN
fuelectenerg-3144	39	24	flexible	flexible	ADJ
fuelectenerg-3144	39	25	bicmos	bicmos	PROPN
fuelectenerg-3144	39	26	technology	technology	PROPN
fuelectenerg-3144	39	27	for	for	ADP
fuelectenerg-3144	39	28	rf	rf	NOUN
fuelectenerg-3144	39	29	communication	communication	NOUN
fuelectenerg-3144	39	30	applications	applications	X
fuelectenerg-3144	39	31	tomislav	tomislav	PROPN
fuelectenerg-3144	39	32	suligoj1	suligoj1	PROPN
fuelectenerg-3144	39	33	,	,	PUNCT
fuelectenerg-3144	39	34	marko	marko	PROPN
fuelectenerg-3144	39	35	koričić1	koričić1	PROPN
fuelectenerg-3144	39	36	,	,	PUNCT
fuelectenerg-3144	39	37	josip	josip	PROPN
fuelectenerg-3144	39	38	žilak1	žilak1	PROPN
fuelectenerg-3144	39	39	,	,	PUNCT
fuelectenerg-3144	39	40	hidenori	hidenori	PROPN
fuelectenerg-3144	39	41	mochizuki2	mochizuki2	PROPN
fuelectenerg-3144	39	42	,	,	PUNCT
fuelectenerg-3144	39	43	so	so	ADV
fuelectenerg-3144	39	44	-	-	PUNCT
fuelectenerg-3144	39	45	ichi	ichi	ADJ
fuelectenerg-3144	39	46	morita2	morita2	NOUN
fuelectenerg-3144	39	47	,	,	PUNCT
fuelectenerg-3144	39	48	katsumi	katsumi	PROPN
fuelectenerg-3144	39	49	shinomura2	shinomura2	PROPN
fuelectenerg-3144	39	50	,	,	PUNCT
fuelectenerg-3144	39	51	hisaya	hisaya	NOUN
fuelectenerg-3144	39	52	imai2	imai2	PROPN
fuelectenerg-3144	39	53	1university	1university	NUM
fuelectenerg-3144	39	54	of	of	ADP
fuelectenerg-3144	39	55	zagreb	zagreb	PROPN
fuelectenerg-3144	39	56	,	,	PUNCT
fuelectenerg-3144	39	57	faculty	faculty	NOUN
fuelectenerg-3144	39	58	of	of	ADP
fuelectenerg-3144	39	59	electrical	electrical	ADJ
fuelectenerg-3144	39	60	engineering	engineering	NOUN
fuelectenerg-3144	39	61	and	and	CCONJ
fuelectenerg-3144	39	62	computing	computing	NOUN
fuelectenerg-3144	39	63	,	,	PUNCT
fuelectenerg-3144	39	64	department	department	NOUN
fuelectenerg-3144	39	65	of	of	ADP
fuelectenerg-3144	39	66	electronics	electronic	NOUN
fuelectenerg-3144	39	67	,	,	PUNCT
fuelectenerg-3144	39	68	microand	microand	NOUN
fuelectenerg-3144	39	69	nano	nano	NOUN
fuelectenerg-3144	39	70	-	-	PUNCT
fuelectenerg-3144	39	71	electronics	electronic	NOUN
fuelectenerg-3144	39	72	laboratory	laboratory	NOUN
fuelectenerg-3144	39	73	,	,	PUNCT
fuelectenerg-3144	39	74	croatia	croatia	PROPN
fuelectenerg-3144	39	75	2asahi	2asahi	PROPN
fuelectenerg-3144	39	76	kasei	kasei	PROPN
fuelectenerg-3144	39	77	microdevices	microdevices	PROPN
fuelectenerg-3144	39	78	co.	co.	PROPN
fuelectenerg-3144	39	79	5	5	NUM
fuelectenerg-3144	39	80	-	-	SYM
fuelectenerg-3144	39	81	4960	4960	NUM
fuelectenerg-3144	39	82	,	,	PUNCT
fuelectenerg-3144	39	83	nobeoka	nobeoka	NOUN
fuelectenerg-3144	39	84	,	,	PUNCT
fuelectenerg-3144	39	85	miyazaki	miyazaki	PROPN
fuelectenerg-3144	39	86	,	,	PUNCT
fuelectenerg-3144	39	87	882	882	NUM
fuelectenerg-3144	39	88	-	-	SYM
fuelectenerg-3144	39	89	0031	0031	NUM
fuelectenerg-3144	39	90	,	,	PUNCT
fuelectenerg-3144	39	91	japan	japan	PROPN
fuelectenerg-3144	39	92	abstract	abstract	PROPN
fuelectenerg-3144	39	93	.	.	PUNCT
fuelectenerg-3144	40	1	in	in	ADP
fuelectenerg-3144	40	2	an	an	DET
fuelectenerg-3144	40	3	overview	overview	NOUN
fuelectenerg-3144	40	4	of	of	ADP
fuelectenerg-3144	40	5	horizontal	horizontal	ADJ
fuelectenerg-3144	40	6	current	current	ADJ
fuelectenerg-3144	40	7	bipolar	bipolar	ADJ
fuelectenerg-3144	40	8	transistor	transistor	NOUN
fuelectenerg-3144	40	9	(	(	PUNCT
fuelectenerg-3144	40	10	hcbt	hcbt	NOUN
fuelectenerg-3144	40	11	)	)	PUNCT
fuelectenerg-3144	40	12	technology	technology	NOUN
fuelectenerg-3144	40	13	,	,	PUNCT
fuelectenerg-3144	40	14	the	the	DET
fuelectenerg-3144	40	15	state	state	NOUN
fuelectenerg-3144	40	16	-	-	PUNCT
fuelectenerg-3144	40	17	of	of	ADP
fuelectenerg-3144	40	18	-	-	PUNCT
fuelectenerg-3144	40	19	the	the	DET
fuelectenerg-3144	40	20	-	-	PUNCT
fuelectenerg-3144	40	21	art	art	NOUN
fuelectenerg-3144	40	22	integrated	integrate	VERB
fuelectenerg-3144	40	23	silicon	silicon	NOUN
fuelectenerg-3144	40	24	bipolar	bipolar	ADJ
fuelectenerg-3144	40	25	transistors	transistor	NOUN
fuelectenerg-3144	40	26	are	be	AUX
fuelectenerg-3144	40	27	described	describe	VERB
fuelectenerg-3144	40	28	which	which	PRON
fuelectenerg-3144	40	29	exhibit	exhibit	VERB
fuelectenerg-3144	40	30	ft	ft	PROPN
fuelectenerg-3144	40	31	and	and	CCONJ
fuelectenerg-3144	40	32	fmax	fmax	PROPN
fuelectenerg-3144	40	33	of	of	ADP
fuelectenerg-3144	40	34	51	51	NUM
fuelectenerg-3144	40	35	ghz	ghz	NOUN
fuelectenerg-3144	40	36	and	and	CCONJ
fuelectenerg-3144	40	37	61	61	NUM
fuelectenerg-3144	40	38	ghz	ghz	NOUN
fuelectenerg-3144	40	39	and	and	CCONJ
fuelectenerg-3144	40	40	ftbvceo	ftbvceo	ADJ
fuelectenerg-3144	40	41	product	product	NOUN
fuelectenerg-3144	40	42	of	of	ADP
fuelectenerg-3144	40	43	173	173	NUM
fuelectenerg-3144	40	44	ghzv	ghzv	NOUN
fuelectenerg-3144	40	45	that	that	PRON
fuelectenerg-3144	40	46	are	be	AUX
fuelectenerg-3144	40	47	among	among	ADP
fuelectenerg-3144	40	48	the	the	DET
fuelectenerg-3144	40	49	highest	high	ADJ
fuelectenerg-3144	40	50	-	-	PUNCT
fuelectenerg-3144	40	51	performance	performance	NOUN
fuelectenerg-3144	40	52	implanted	implant	VERB
fuelectenerg-3144	40	53	-	-	PUNCT
fuelectenerg-3144	40	54	base	base	NOUN
fuelectenerg-3144	40	55	,	,	PUNCT
fuelectenerg-3144	40	56	silicon	silicon	NOUN
fuelectenerg-3144	40	57	bipolar	bipolar	ADJ
fuelectenerg-3144	40	58	transistors	transistor	NOUN
fuelectenerg-3144	40	59	.	.	PUNCT
fuelectenerg-3144	41	1	hbct	hbct	ADV
fuelectenerg-3144	41	2	is	be	AUX
fuelectenerg-3144	41	3	integrated	integrate	VERB
fuelectenerg-3144	41	4	with	with	ADP
fuelectenerg-3144	41	5	cmos	cmos	PROPN
fuelectenerg-3144	41	6	in	in	ADP
fuelectenerg-3144	41	7	a	a	DET
fuelectenerg-3144	41	8	considerably	considerably	ADV
fuelectenerg-3144	41	9	lower	low	ADJ
fuelectenerg-3144	41	10	-	-	PUNCT
fuelectenerg-3144	41	11	cost	cost	NOUN
fuelectenerg-3144	41	12	fabrication	fabrication	NOUN
fuelectenerg-3144	41	13	sequence	sequence	NOUN
fuelectenerg-3144	41	14	as	as	ADP
fuelectenerg-3144	41	15	compared	compare	VERB
fuelectenerg-3144	41	16	to	to	ADP
fuelectenerg-3144	41	17	standard	standard	ADJ
fuelectenerg-3144	41	18	vertical	vertical	ADJ
fuelectenerg-3144	41	19	-	-	PUNCT
fuelectenerg-3144	41	20	current	current	ADJ
fuelectenerg-3144	41	21	bipolar	bipolar	ADJ
fuelectenerg-3144	41	22	transistors	transistor	NOUN
fuelectenerg-3144	41	23	with	with	ADP
fuelectenerg-3144	41	24	only	only	ADV
fuelectenerg-3144	41	25	2	2	NUM
fuelectenerg-3144	41	26	or	or	CCONJ
fuelectenerg-3144	41	27	3	3	NUM
fuelectenerg-3144	41	28	additional	additional	ADJ
fuelectenerg-3144	41	29	masks	mask	NOUN
fuelectenerg-3144	41	30	and	and	CCONJ
fuelectenerg-3144	41	31	fewer	few	ADJ
fuelectenerg-3144	41	32	process	process	NOUN
fuelectenerg-3144	41	33	steps	step	NOUN
fuelectenerg-3144	41	34	.	.	PUNCT
fuelectenerg-3144	42	1	due	due	ADP
fuelectenerg-3144	42	2	to	to	ADP
fuelectenerg-3144	42	3	its	its	PRON
fuelectenerg-3144	42	4	specific	specific	ADJ
fuelectenerg-3144	42	5	structure	structure	NOUN
fuelectenerg-3144	42	6	,	,	PUNCT
fuelectenerg-3144	42	7	the	the	DET
fuelectenerg-3144	42	8	charge	charge	NOUN
fuelectenerg-3144	42	9	sharing	sharing	NOUN
fuelectenerg-3144	42	10	effect	effect	NOUN
fuelectenerg-3144	42	11	can	can	AUX
fuelectenerg-3144	42	12	be	be	AUX
fuelectenerg-3144	42	13	employed	employ	VERB
fuelectenerg-3144	42	14	to	to	PART
fuelectenerg-3144	42	15	increase	increase	VERB
fuelectenerg-3144	42	16	bvceo	bvceo	ADV
fuelectenerg-3144	42	17	without	without	ADP
fuelectenerg-3144	42	18	sacrificing	sacrifice	VERB
fuelectenerg-3144	42	19	ft	ft	X
fuelectenerg-3144	42	20	and	and	CCONJ
fuelectenerg-3144	42	21	fmax	fmax	PROPN
fuelectenerg-3144	42	22	.	.	PUNCT
fuelectenerg-3144	43	1	moreover	moreover	ADV
fuelectenerg-3144	43	2	,	,	PUNCT
fuelectenerg-3144	43	3	the	the	DET
fuelectenerg-3144	43	4	electric	electric	ADJ
fuelectenerg-3144	43	5	field	field	NOUN
fuelectenerg-3144	43	6	can	can	AUX
fuelectenerg-3144	43	7	be	be	AUX
fuelectenerg-3144	43	8	engineered	engineer	VERB
fuelectenerg-3144	43	9	just	just	ADV
fuelectenerg-3144	43	10	by	by	ADP
fuelectenerg-3144	43	11	manipulating	manipulate	VERB
fuelectenerg-3144	43	12	the	the	DET
fuelectenerg-3144	43	13	lithography	lithography	NOUN
fuelectenerg-3144	43	14	masks	mask	NOUN
fuelectenerg-3144	43	15	achieving	achieve	VERB
fuelectenerg-3144	43	16	the	the	DET
fuelectenerg-3144	43	17	high	high	ADJ
fuelectenerg-3144	43	18	-	-	PUNCT
fuelectenerg-3144	43	19	voltage	voltage	NOUN
fuelectenerg-3144	43	20	hcbts	hcbt	NOUN
fuelectenerg-3144	43	21	with	with	ADP
fuelectenerg-3144	43	22	breakdowns	breakdown	NOUN
fuelectenerg-3144	43	23	up	up	ADP
fuelectenerg-3144	43	24	to	to	PART
fuelectenerg-3144	43	25	36	36	NUM
fuelectenerg-3144	43	26	v	v	NOUN
fuelectenerg-3144	43	27	integrated	integrate	VERB
fuelectenerg-3144	43	28	in	in	ADP
fuelectenerg-3144	43	29	the	the	DET
fuelectenerg-3144	43	30	same	same	ADJ
fuelectenerg-3144	43	31	process	process	NOUN
fuelectenerg-3144	43	32	flow	flow	NOUN
fuelectenerg-3144	43	33	with	with	ADP
fuelectenerg-3144	43	34	high	high	ADJ
fuelectenerg-3144	43	35	-	-	PUNCT
fuelectenerg-3144	43	36	speed	speed	NOUN
fuelectenerg-3144	43	37	devices	device	NOUN
fuelectenerg-3144	43	38	,	,	PUNCT
fuelectenerg-3144	43	39	i.e.	i.e.	X
fuelectenerg-3144	43	40	at	at	ADP
fuelectenerg-3144	43	41	zero	zero	NUM
fuelectenerg-3144	43	42	additional	additional	ADJ
fuelectenerg-3144	43	43	costs	cost	NOUN
fuelectenerg-3144	43	44	.	.	PUNCT
fuelectenerg-3144	44	1	double	double	ADJ
fuelectenerg-3144	44	2	-	-	PUNCT
fuelectenerg-3144	44	3	balanced	balanced	ADJ
fuelectenerg-3144	44	4	active	active	ADJ
fuelectenerg-3144	44	5	mixer	mixer	NOUN
fuelectenerg-3144	44	6	circuit	circuit	NOUN
fuelectenerg-3144	44	7	is	be	AUX
fuelectenerg-3144	44	8	designed	design	VERB
fuelectenerg-3144	44	9	and	and	CCONJ
fuelectenerg-3144	44	10	fabricated	fabricate	VERB
fuelectenerg-3144	44	11	in	in	ADP
fuelectenerg-3144	44	12	hcbt	hcbt	NOUN
fuelectenerg-3144	44	13	technology	technology	NOUN
fuelectenerg-3144	44	14	.	.	PUNCT
fuelectenerg-3144	45	1	the	the	DET
fuelectenerg-3144	45	2	maximum	maximum	ADJ
fuelectenerg-3144	45	3	iip3	iip3	NOUN
fuelectenerg-3144	45	4	of	of	ADP
fuelectenerg-3144	45	5	17.7	17.7	NUM
fuelectenerg-3144	45	6	dbm	dbm	NOUN
fuelectenerg-3144	45	7	at	at	ADP
fuelectenerg-3144	45	8	mixer	mixer	PROPN
fuelectenerg-3144	45	9	current	current	ADJ
fuelectenerg-3144	45	10	of	of	ADP
fuelectenerg-3144	45	11	9.2	9.2	NUM
fuelectenerg-3144	45	12	ma	ma	PROPN
fuelectenerg-3144	45	13	and	and	CCONJ
fuelectenerg-3144	45	14	conversion	conversion	NOUN
fuelectenerg-3144	45	15	gain	gain	NOUN
fuelectenerg-3144	45	16	of	of	ADP
fuelectenerg-3144	45	17	-5	-5	INTJ
fuelectenerg-3144	45	18	db	db	PROPN
fuelectenerg-3144	45	19	are	be	AUX
fuelectenerg-3144	45	20	achieved	achieve	VERB
fuelectenerg-3144	45	21	.	.	PUNCT
fuelectenerg-3144	46	1	key	key	ADJ
fuelectenerg-3144	46	2	words	word	NOUN
fuelectenerg-3144	46	3	:	:	PUNCT
fuelectenerg-3144	46	4	bicmos	bicmos	ADJ
fuelectenerg-3144	46	5	technology	technology	NOUN
fuelectenerg-3144	46	6	,	,	PUNCT
fuelectenerg-3144	46	7	bipolar	bipolar	ADJ
fuelectenerg-3144	46	8	transistors	transistor	NOUN
fuelectenerg-3144	46	9	,	,	PUNCT
fuelectenerg-3144	46	10	horizontal	horizontal	ADJ
fuelectenerg-3144	46	11	current	current	ADJ
fuelectenerg-3144	46	12	bipolar	bipolar	ADJ
fuelectenerg-3144	46	13	transistor	transistor	NOUN
fuelectenerg-3144	46	14	,	,	PUNCT
fuelectenerg-3144	46	15	radio	radio	NOUN
fuelectenerg-3144	46	16	frequency	frequency	NOUN
fuelectenerg-3144	46	17	integrated	integrate	VERB
fuelectenerg-3144	46	18	circuits	circuit	NOUN
fuelectenerg-3144	46	19	,	,	PUNCT
fuelectenerg-3144	46	20	mixer	mixer	NOUN
fuelectenerg-3144	46	21	,	,	PUNCT
fuelectenerg-3144	46	22	high	high	ADJ
fuelectenerg-3144	46	23	-	-	PUNCT
fuelectenerg-3144	46	24	voltage	voltage	NOUN
fuelectenerg-3144	46	25	bipolar	bipolar	ADJ
fuelectenerg-3144	46	26	transistors	transistor	NOUN
fuelectenerg-3144	46	27	.	.	PUNCT
fuelectenerg-3144	47	1	1	1	X
fuelectenerg-3144	47	2	.	.	X
fuelectenerg-3144	47	3	introduction	introduction	NOUN
fuelectenerg-3144	47	4	in	in	ADP
fuelectenerg-3144	47	5	the	the	DET
fuelectenerg-3144	47	6	highly	highly	ADV
fuelectenerg-3144	47	7	competitive	competitive	ADJ
fuelectenerg-3144	47	8	wireless	wireless	ADJ
fuelectenerg-3144	47	9	communication	communication	NOUN
fuelectenerg-3144	47	10	markets	market	NOUN
fuelectenerg-3144	47	11	,	,	PUNCT
fuelectenerg-3144	47	12	the	the	DET
fuelectenerg-3144	47	13	rf	rf	ADJ
fuelectenerg-3144	47	14	circuits	circuit	NOUN
fuelectenerg-3144	47	15	and	and	CCONJ
fuelectenerg-3144	47	16	systems	system	NOUN
fuelectenerg-3144	47	17	are	be	AUX
fuelectenerg-3144	47	18	fabricated	fabricate	VERB
fuelectenerg-3144	47	19	in	in	ADP
fuelectenerg-3144	47	20	the	the	DET
fuelectenerg-3144	47	21	technologies	technology	NOUN
fuelectenerg-3144	47	22	that	that	PRON
fuelectenerg-3144	47	23	are	be	AUX
fuelectenerg-3144	47	24	very	very	ADV
fuelectenerg-3144	47	25	cost	cost	NOUN
fuelectenerg-3144	47	26	-	-	PUNCT
fuelectenerg-3144	47	27	sensitive	sensitive	ADJ
fuelectenerg-3144	47	28	.	.	PUNCT
fuelectenerg-3144	48	1	in	in	ADP
fuelectenerg-3144	48	2	order	order	NOUN
fuelectenerg-3144	48	3	to	to	PART
fuelectenerg-3144	48	4	minimize	minimize	VERB
fuelectenerg-3144	48	5	the	the	DET
fuelectenerg-3144	48	6	fabrication	fabrication	NOUN
fuelectenerg-3144	48	7	costs	cost	NOUN
fuelectenerg-3144	48	8	,	,	PUNCT
fuelectenerg-3144	48	9	the	the	DET
fuelectenerg-3144	48	10	sub-10	sub-10	NUM
fuelectenerg-3144	48	11	ghz	ghz	NOUN
fuelectenerg-3144	48	12	applications	application	NOUN
fuelectenerg-3144	48	13	can	can	AUX
fuelectenerg-3144	48	14	be	be	AUX
fuelectenerg-3144	48	15	processed	process	VERB
fuelectenerg-3144	48	16	by	by	ADP
fuelectenerg-3144	48	17	using	use	VERB
fuelectenerg-3144	48	18	the	the	DET
fuelectenerg-3144	48	19	high	high	ADJ
fuelectenerg-3144	48	20	-	-	PUNCT
fuelectenerg-3144	48	21	volume	volume	NOUN
fuelectenerg-3144	48	22	silicon	silicon	NOUN
fuelectenerg-3144	48	23	technologies	technology	NOUN
fuelectenerg-3144	48	24	.	.	PUNCT
fuelectenerg-3144	49	1	it	it	PRON
fuelectenerg-3144	49	2	has	have	AUX
fuelectenerg-3144	49	3	been	be	AUX
fuelectenerg-3144	49	4	identified	identify	VERB
fuelectenerg-3144	49	5	that	that	SCONJ
fuelectenerg-3144	49	6	the	the	DET
fuelectenerg-3144	49	7	optimum	optimum	ADJ
fuelectenerg-3144	49	8	solution	solution	NOUN
fuelectenerg-3144	49	9	might	might	AUX
fuelectenerg-3144	49	10	received	receive	VERB
fuelectenerg-3144	49	11	march	march	PROPN
fuelectenerg-3144	49	12	9	9	NUM
fuelectenerg-3144	49	13	,	,	PUNCT
fuelectenerg-3144	49	14	2015	2015	NUM
fuelectenerg-3144	49	15	corresponding	correspond	VERB
fuelectenerg-3144	49	16	author	author	NOUN
fuelectenerg-3144	49	17	:	:	PUNCT
fuelectenerg-3144	49	18	tomislav	tomislav	PROPN
fuelectenerg-3144	49	19	suligoj	suligoj	PROPN
fuelectenerg-3144	49	20	university	university	PROPN
fuelectenerg-3144	49	21	of	of	ADP
fuelectenerg-3144	49	22	zagreb	zagreb	PROPN
fuelectenerg-3144	49	23	,	,	PUNCT
fuelectenerg-3144	49	24	faculty	faculty	NOUN
fuelectenerg-3144	49	25	of	of	ADP
fuelectenerg-3144	49	26	electrical	electrical	ADJ
fuelectenerg-3144	49	27	engineering	engineering	NOUN
fuelectenerg-3144	49	28	and	and	CCONJ
fuelectenerg-3144	49	29	computing	computing	NOUN
fuelectenerg-3144	49	30	,	,	PUNCT
fuelectenerg-3144	49	31	department	department	NOUN
fuelectenerg-3144	49	32	of	of	ADP
fuelectenerg-3144	49	33	electronics	electronic	NOUN
fuelectenerg-3144	49	34	,	,	PUNCT
fuelectenerg-3144	49	35	microand	microand	NOUN
fuelectenerg-3144	49	36	nano	nano	NOUN
fuelectenerg-3144	49	37	-	-	PUNCT
fuelectenerg-3144	49	38	electronics	electronic	NOUN
fuelectenerg-3144	49	39	laboratory	laboratory	NOUN
fuelectenerg-3144	49	40	,	,	PUNCT
fuelectenerg-3144	49	41	croatia	croatia	PROPN
fuelectenerg-3144	49	42	(	(	PUNCT
fuelectenerg-3144	49	43	e	e	NOUN
fuelectenerg-3144	49	44	-	-	NOUN
fuelectenerg-3144	49	45	mail	mail	NOUN
fuelectenerg-3144	49	46	:	:	PUNCT
fuelectenerg-3144	49	47	tom@zemris.fer.hr	tom@zemris.fer.hr	X
fuelectenerg-3144	49	48	)	)	PUNCT
fuelectenerg-3144	49	49	a	a	DET
fuelectenerg-3144	49	50	quantum	quantum	ADJ
fuelectenerg-3144	49	51	algorithm	algorithm	NOUN
fuelectenerg-3144	49	52	for	for	ADP
fuelectenerg-3144	49	53	automata	automata	NOUN
fuelectenerg-3144	49	54	encoding	encode	VERB
fuelectenerg-3144	49	55	department	department	NOUN
fuelectenerg-3144	49	56	of	of	ADP
fuelectenerg-3144	49	57	electrical	electrical	ADJ
fuelectenerg-3144	49	58	and	and	CCONJ
fuelectenerg-3144	49	59	computer	computer	NOUN
fuelectenerg-3144	49	60	engineering	engineering	NOUN
fuelectenerg-3144	49	61	,	,	PUNCT
fuelectenerg-3144	49	62	portland	portland	PROPN
fuelectenerg-3144	49	63	state	state	PROPN
fuelectenerg-3144	49	64	university	university	PROPN
fuelectenerg-3144	49	65	,	,	PUNCT
fuelectenerg-3144	49	66	usa	usa	PROPN
fuelectenerg-3144	49	67	abstract	abstract	NOUN
fuelectenerg-3144	49	68	.	.	PUNCT
fuelectenerg-3144	50	1	encoding	encoding	NOUN
fuelectenerg-3144	50	2	of	of	ADP
fuelectenerg-3144	50	3	finite	finite	ADJ
fuelectenerg-3144	50	4	automata	automata	NOUN
fuelectenerg-3144	50	5	or	or	CCONJ
fuelectenerg-3144	50	6	state	state	NOUN
fuelectenerg-3144	50	7	machines	machine	NOUN
fuelectenerg-3144	50	8	is	be	AUX
fuelectenerg-3144	50	9	critical	critical	ADJ
fuelectenerg-3144	50	10	to	to	ADP
fuelectenerg-3144	50	11	modern	modern	ADJ
fuelectenerg-3144	50	12	digital	digital	ADJ
fuelectenerg-3144	50	13	logic	logic	NOUN
fuelectenerg-3144	50	14	design	design	NOUN
fuelectenerg-3144	50	15	methods	method	NOUN
fuelectenerg-3144	50	16	for	for	ADP
fuelectenerg-3144	50	17	sequential	sequential	ADJ
fuelectenerg-3144	50	18	circuits	circuit	NOUN
fuelectenerg-3144	50	19	.	.	PUNCT
fuelectenerg-3144	51	1	encoding	encoding	NOUN
fuelectenerg-3144	51	2	is	be	AUX
fuelectenerg-3144	51	3	the	the	DET
fuelectenerg-3144	51	4	process	process	NOUN
fuelectenerg-3144	51	5	of	of	ADP
fuelectenerg-3144	51	6	assigning	assign	VERB
fuelectenerg-3144	51	7	to	to	ADP
fuelectenerg-3144	51	8	every	every	DET
fuelectenerg-3144	51	9	state	state	NOUN
fuelectenerg-3144	51	10	,	,	PUNCT
fuelectenerg-3144	51	11	input	input	NOUN
fuelectenerg-3144	51	12	value	value	NOUN
fuelectenerg-3144	51	13	,	,	PUNCT
fuelectenerg-3144	51	14	and	and	CCONJ
fuelectenerg-3144	51	15	output	output	NOUN
fuelectenerg-3144	51	16	value	value	NOUN
fuelectenerg-3144	51	17	of	of	ADP
fuelectenerg-3144	51	18	a	a	DET
fuelectenerg-3144	51	19	state	state	NOUN
fuelectenerg-3144	51	20	machine	machine	NOUN
fuelectenerg-3144	51	21	a	a	DET
fuelectenerg-3144	51	22	binary	binary	ADJ
fuelectenerg-3144	51	23	string	string	NOUN
fuelectenerg-3144	51	24	,	,	PUNCT
fuelectenerg-3144	51	25	which	which	PRON
fuelectenerg-3144	51	26	is	be	AUX
fuelectenerg-3144	51	27	used	use	VERB
fuelectenerg-3144	51	28	to	to	PART
fuelectenerg-3144	51	29	represent	represent	VERB
fuelectenerg-3144	51	30	that	that	DET
fuelectenerg-3144	51	31	state	state	NOUN
fuelectenerg-3144	51	32	,	,	PUNCT
fuelectenerg-3144	51	33	input	input	NOUN
fuelectenerg-3144	51	34	value	value	NOUN
fuelectenerg-3144	51	35	,	,	PUNCT
fuelectenerg-3144	51	36	or	or	CCONJ
fuelectenerg-3144	51	37	output	output	NOUN
fuelectenerg-3144	51	38	value	value	NOUN
fuelectenerg-3144	51	39	in	in	ADP
fuelectenerg-3144	51	40	digital	digital	ADJ
fuelectenerg-3144	51	41	logic	logic	NOUN
fuelectenerg-3144	51	42	.	.	PUNCT
fuelectenerg-3144	52	1	usually	usually	ADV
fuelectenerg-3144	52	2	,	,	PUNCT
fuelectenerg-3144	52	3	one	one	PRON
fuelectenerg-3144	52	4	wishes	wish	VERB
fuelectenerg-3144	52	5	to	to	PART
fuelectenerg-3144	52	6	choose	choose	VERB
fuelectenerg-3144	52	7	an	an	DET
fuelectenerg-3144	52	8	encoding	encoding	NOUN
fuelectenerg-3144	52	9	that	that	PRON
fuelectenerg-3144	52	10	,	,	PUNCT
fuelectenerg-3144	52	11	when	when	SCONJ
fuelectenerg-3144	52	12	the	the	DET
fuelectenerg-3144	52	13	state	state	NOUN
fuelectenerg-3144	52	14	machine	machine	NOUN
fuelectenerg-3144	52	15	is	be	AUX
fuelectenerg-3144	52	16	implemented	implement	VERB
fuelectenerg-3144	52	17	as	as	ADP
fuelectenerg-3144	52	18	a	a	DET
fuelectenerg-3144	52	19	digital	digital	ADJ
fuelectenerg-3144	52	20	logic	logic	NOUN
fuelectenerg-3144	52	21	circuit	circuit	NOUN
fuelectenerg-3144	52	22	,	,	PUNCT
fuelectenerg-3144	52	23	will	will	AUX
fuelectenerg-3144	52	24	optimize	optimize	VERB
fuelectenerg-3144	52	25	some	some	DET
fuelectenerg-3144	52	26	aspect	aspect	NOUN
fuelectenerg-3144	52	27	of	of	ADP
fuelectenerg-3144	52	28	that	that	DET
fuelectenerg-3144	52	29	circuit	circuit	NOUN
fuelectenerg-3144	52	30	.	.	PUNCT
fuelectenerg-3144	53	1	for	for	ADP
fuelectenerg-3144	53	2	instance	instance	NOUN
fuelectenerg-3144	53	3	,	,	PUNCT
fuelectenerg-3144	53	4	one	one	PRON
fuelectenerg-3144	53	5	might	might	AUX
fuelectenerg-3144	53	6	wish	wish	VERB
fuelectenerg-3144	53	7	to	to	PART
fuelectenerg-3144	53	8	encode	encode	VERB
fuelectenerg-3144	53	9	in	in	ADP
fuelectenerg-3144	53	10	such	such	DET
fuelectenerg-3144	53	11	a	a	DET
fuelectenerg-3144	53	12	way	way	NOUN
fuelectenerg-3144	53	13	as	as	SCONJ
fuelectenerg-3144	53	14	to	to	PART
fuelectenerg-3144	53	15	minimize	minimize	VERB
fuelectenerg-3144	53	16	power	power	NOUN
fuelectenerg-3144	53	17	dissipation	dissipation	NOUN
fuelectenerg-3144	53	18	or	or	CCONJ
fuelectenerg-3144	53	19	silicon	silicon	NOUN
fuelectenerg-3144	53	20	area	area	NOUN
fuelectenerg-3144	53	21	.	.	PUNCT
fuelectenerg-3144	54	1	for	for	ADP
fuelectenerg-3144	54	2	most	most	ADJ
fuelectenerg-3144	54	3	such	such	ADJ
fuelectenerg-3144	54	4	optimization	optimization	NOUN
fuelectenerg-3144	54	5	objectives	objective	NOUN
fuelectenerg-3144	54	6	,	,	PUNCT
fuelectenerg-3144	54	7	no	no	DET
fuelectenerg-3144	54	8	method	method	NOUN
fuelectenerg-3144	54	9	to	to	PART
fuelectenerg-3144	54	10	find	find	VERB
fuelectenerg-3144	54	11	the	the	DET
fuelectenerg-3144	54	12	exact	exact	ADJ
fuelectenerg-3144	54	13	solution	solution	NOUN
fuelectenerg-3144	54	14	,	,	PUNCT
fuelectenerg-3144	54	15	other	other	ADJ
fuelectenerg-3144	54	16	than	than	ADP
fuelectenerg-3144	54	17	a	a	DET
fuelectenerg-3144	54	18	straightforward	straightforward	ADJ
fuelectenerg-3144	54	19	exhaustive	exhaustive	ADJ
fuelectenerg-3144	54	20	search	search	NOUN
fuelectenerg-3144	54	21	,	,	PUNCT
fuelectenerg-3144	54	22	is	be	AUX
fuelectenerg-3144	54	23	known	know	VERB
fuelectenerg-3144	54	24	.	.	PUNCT
fuelectenerg-3144	55	1	recent	recent	ADJ
fuelectenerg-3144	55	2	progress	progress	NOUN
fuelectenerg-3144	55	3	towards	towards	ADP
fuelectenerg-3144	55	4	producing	produce	VERB
fuelectenerg-3144	55	5	a	a	DET
fuelectenerg-3144	55	6	quantum	quantum	ADJ
fuelectenerg-3144	55	7	computer	computer	NOUN
fuelectenerg-3144	55	8	of	of	ADP
fuelectenerg-3144	55	9	large	large	ADJ
fuelectenerg-3144	55	10	enough	enough	ADJ
fuelectenerg-3144	55	11	scale	scale	NOUN
fuelectenerg-3144	55	12	to	to	PART
fuelectenerg-3144	55	13	surpass	surpass	VERB
fuelectenerg-3144	55	14	modern	modern	ADJ
fuelectenerg-3144	55	15	supercomputers	supercomputer	NOUN
fuelectenerg-3144	55	16	has	have	AUX
fuelectenerg-3144	55	17	made	make	VERB
fuelectenerg-3144	55	18	it	it	PRON
fuelectenerg-3144	55	19	increasingly	increasingly	ADV
fuelectenerg-3144	55	20	relevant	relevant	ADJ
fuelectenerg-3144	55	21	to	to	PART
fuelectenerg-3144	55	22	consider	consider	VERB
fuelectenerg-3144	55	23	how	how	SCONJ
fuelectenerg-3144	55	24	quantum	quantum	ADJ
fuelectenerg-3144	55	25	computers	computer	NOUN
fuelectenerg-3144	55	26	may	may	AUX
fuelectenerg-3144	55	27	be	be	AUX
fuelectenerg-3144	55	28	used	use	VERB
fuelectenerg-3144	55	29	to	to	PART
fuelectenerg-3144	55	30	solve	solve	VERB
fuelectenerg-3144	55	31	problems	problem	NOUN
fuelectenerg-3144	55	32	of	of	ADP
fuelectenerg-3144	55	33	practical	practical	ADJ
fuelectenerg-3144	55	34	interest	interest	NOUN
fuelectenerg-3144	55	35	.	.	PUNCT
fuelectenerg-3144	56	1	a	a	DET
fuelectenerg-3144	56	2	quantum	quantum	ADJ
fuelectenerg-3144	56	3	computer	computer	NOUN
fuelectenerg-3144	56	4	using	use	VERB
fuelectenerg-3144	56	5	grover	grover	PROPN
fuelectenerg-3144	56	6	’s	’s	PART
fuelectenerg-3144	56	7	well	well	ADV
fuelectenerg-3144	56	8	-	-	PUNCT
fuelectenerg-3144	56	9	known	know	VERB
fuelectenerg-3144	56	10	search	search	NOUN
fuelectenerg-3144	56	11	algorithm	algorithm	NOUN
fuelectenerg-3144	56	12	can	can	AUX
fuelectenerg-3144	56	13	perform	perform	VERB
fuelectenerg-3144	56	14	exhaustive	exhaustive	ADJ
fuelectenerg-3144	56	15	searches	search	NOUN
fuelectenerg-3144	56	16	that	that	PRON
fuelectenerg-3144	56	17	would	would	AUX
fuelectenerg-3144	56	18	be	be	AUX
fuelectenerg-3144	56	19	impractical	impractical	ADJ
fuelectenerg-3144	56	20	on	on	ADP
fuelectenerg-3144	56	21	a	a	DET
fuelectenerg-3144	56	22	classical	classical	ADJ
fuelectenerg-3144	56	23	computer	computer	NOUN
fuelectenerg-3144	56	24	,	,	PUNCT
fuelectenerg-3144	56	25	due	due	ADP
fuelectenerg-3144	56	26	to	to	ADP
fuelectenerg-3144	56	27	the	the	DET
fuelectenerg-3144	56	28	speedup	speedup	NOUN
fuelectenerg-3144	56	29	provided	provide	VERB
fuelectenerg-3144	56	30	by	by	ADP
fuelectenerg-3144	56	31	grover	grover	PROPN
fuelectenerg-3144	56	32	’s	’s	PART
fuelectenerg-3144	56	33	algorithm	algorithm	NOUN
fuelectenerg-3144	56	34	.	.	PUNCT
fuelectenerg-3144	57	1	therefore	therefore	ADV
fuelectenerg-3144	57	2	,	,	PUNCT
fuelectenerg-3144	57	3	we	we	PRON
fuelectenerg-3144	57	4	propose	propose	VERB
fuelectenerg-3144	57	5	to	to	PART
fuelectenerg-3144	57	6	use	use	VERB
fuelectenerg-3144	57	7	grover	grover	NOUN
fuelectenerg-3144	57	8	’s	’s	PART
fuelectenerg-3144	57	9	algorithm	algorithm	NOUN
fuelectenerg-3144	57	10	to	to	PART
fuelectenerg-3144	57	11	find	find	VERB
fuelectenerg-3144	57	12	optimal	optimal	ADJ
fuelectenerg-3144	57	13	encodings	encoding	NOUN
fuelectenerg-3144	57	14	for	for	ADP
fuelectenerg-3144	57	15	finite	finite	ADJ
fuelectenerg-3144	57	16	state	state	NOUN
fuelectenerg-3144	57	17	machines	machine	NOUN
fuelectenerg-3144	57	18	via	via	ADP
fuelectenerg-3144	57	19	exhaustive	exhaustive	ADJ
fuelectenerg-3144	57	20	search	search	NOUN
fuelectenerg-3144	57	21	.	.	PUNCT
fuelectenerg-3144	58	1	we	we	PRON
fuelectenerg-3144	58	2	demonstrate	demonstrate	VERB
fuelectenerg-3144	58	3	the	the	DET
fuelectenerg-3144	58	4	design	design	NOUN
fuelectenerg-3144	58	5	of	of	ADP
fuelectenerg-3144	58	6	quantum	quantum	ADJ
fuelectenerg-3144	58	7	circuits	circuit	NOUN
fuelectenerg-3144	58	8	that	that	PRON
fuelectenerg-3144	58	9	allow	allow	VERB
fuelectenerg-3144	58	10	grover	grover	PROPN
fuelectenerg-3144	58	11	’s	’s	PART
fuelectenerg-3144	58	12	algorithm	algorithm	NOUN
fuelectenerg-3144	58	13	to	to	PART
fuelectenerg-3144	58	14	be	be	AUX
fuelectenerg-3144	58	15	used	use	VERB
fuelectenerg-3144	58	16	for	for	ADP
fuelectenerg-3144	58	17	this	this	DET
fuelectenerg-3144	58	18	purpose	purpose	NOUN
fuelectenerg-3144	58	19	.	.	PUNCT
fuelectenerg-3144	59	1	the	the	DET
fuelectenerg-3144	59	2	quantum	quantum	PROPN
fuelectenerg-3144	59	3	circuit	circuit	NOUN
fuelectenerg-3144	59	4	design	design	NOUN
fuelectenerg-3144	59	5	methods	method	NOUN
fuelectenerg-3144	59	6	that	that	PRON
fuelectenerg-3144	59	7	we	we	PRON
fuelectenerg-3144	59	8	introduce	introduce	VERB
fuelectenerg-3144	59	9	are	be	AUX
fuelectenerg-3144	59	10	potentially	potentially	ADV
fuelectenerg-3144	59	11	applicable	applicable	ADJ
fuelectenerg-3144	59	12	to	to	ADP
fuelectenerg-3144	59	13	other	other	ADJ
fuelectenerg-3144	59	14	problems	problem	NOUN
fuelectenerg-3144	59	15	as	as	ADV
fuelectenerg-3144	59	16	well	well	ADV
fuelectenerg-3144	59	17	.	.	PUNCT
fuelectenerg-3144	60	1	key	key	ADJ
fuelectenerg-3144	60	2	words	word	NOUN
fuelectenerg-3144	60	3	:	:	PUNCT
fuelectenerg-3144	60	4	quantum	quantum	ADJ
fuelectenerg-3144	60	5	algorithm	algorithm	NOUN
fuelectenerg-3144	60	6	,	,	PUNCT
fuelectenerg-3144	60	7	automata	automata	NOUN
fuelectenerg-3144	60	8	encoding	encoding	NOUN
fuelectenerg-3144	60	9	,	,	PUNCT
fuelectenerg-3144	60	10	finete	finete	ADJ
fuelectenerg-3144	60	11	state	state	NOUN
fuelectenerg-3144	60	12	machines	machine	NOUN
fuelectenerg-3144	60	13	.	.	PUNCT
fuelectenerg-3144	61	1	©	©	PROPN
fuelectenerg-3144	61	2	2020	2020	NUM
fuelectenerg-3144	61	3	by	by	ADP
fuelectenerg-3144	61	4	university	university	PROPN
fuelectenerg-3144	61	5	of	of	ADP
fuelectenerg-3144	61	6	niš	niš	PROPN
fuelectenerg-3144	61	7	,	,	PUNCT
fuelectenerg-3144	61	8	serbia	serbia	PROPN
fuelectenerg-3144	61	9	|	|	ADV
fuelectenerg-3144	61	10	creative	creative	ADJ
fuelectenerg-3144	61	11	commons	common	NOUN
fuelectenerg-3144	61	12	license	license	NOUN
fuelectenerg-3144	61	13	:	:	PUNCT
fuelectenerg-3144	61	14	cc	cc	VERB
fuelectenerg-3144	61	15	by	by	ADP
fuelectenerg-3144	61	16	-	-	PUNCT
fuelectenerg-3144	61	17	nc	nc	VERB
fuelectenerg-3144	61	18	-	-	PUNCT
fuelectenerg-3144	61	19	nd	nd	ADV
fuelectenerg-3144	61	20	well	well	ADV
fuelectenerg-3144	61	21	-	-	PUNCT
fuelectenerg-3144	61	22	known	know	VERB
fuelectenerg-3144	61	23	search	search	NOUN
fuelectenerg-3144	61	24	algorithm	algorithm	NOUN
fuelectenerg-3144	61	25	[	[	X
fuelectenerg-3144	61	26	2	2	NUM
fuelectenerg-3144	61	27	,	,	PUNCT
fuelectenerg-3144	61	28	3	3	NUM
fuelectenerg-3144	61	29	,	,	PUNCT
fuelectenerg-3144	61	30	4	4	NUM
fuelectenerg-3144	61	31	]	]	PUNCT
fuelectenerg-3144	61	32	provides	provide	VERB
fuelectenerg-3144	61	33	a	a	DET
fuelectenerg-3144	61	34	commonly	commonly	ADV
fuelectenerg-3144	61	35	cited	cite	VERB
fuelectenerg-3144	61	36	example	example	NOUN
fuelectenerg-3144	61	37	of	of	ADP
fuelectenerg-3144	61	38	such	such	DET
fuelectenerg-3144	61	39	a	a	DET
fuelectenerg-3144	61	40	class	class	NOUN
fuelectenerg-3144	61	41	of	of	ADP
fuelectenerg-3144	61	42	problems	problem	NOUN
fuelectenerg-3144	61	43	.	.	PUNCT
fuelectenerg-3144	62	1	however	however	ADV
fuelectenerg-3144	62	2	,	,	PUNCT
fuelectenerg-3144	62	3	despite	despite	SCONJ
fuelectenerg-3144	62	4	the	the	DET
fuelectenerg-3144	62	5	theoretical	theoretical	ADJ
fuelectenerg-3144	62	6	capabilities	capability	NOUN
fuelectenerg-3144	62	7	of	of	ADP
fuelectenerg-3144	62	8	quantum	quantum	NOUN
fuelectenerg-3144	62	9	computing	computing	NOUN
fuelectenerg-3144	62	10	,	,	PUNCT
fuelectenerg-3144	62	11	virtually	virtually	ADV
fuelectenerg-3144	62	12	no	no	DET
fuelectenerg-3144	62	13	work	work	NOUN
fuelectenerg-3144	62	14	has	have	AUX
fuelectenerg-3144	62	15	been	be	AUX
fuelectenerg-3144	62	16	published	publish	VERB
fuelectenerg-3144	62	17	that	that	PRON
fuelectenerg-3144	62	18	demonstrates	demonstrate	VERB
fuelectenerg-3144	62	19	a	a	DET
fuelectenerg-3144	62	20	specific	specific	ADJ
fuelectenerg-3144	62	21	,	,	PUNCT
fuelectenerg-3144	62	22	concrete	concrete	ADJ
fuelectenerg-3144	62	23	example	example	NOUN
fuelectenerg-3144	62	24	of	of	ADP
fuelectenerg-3144	62	25	grover	grover	PROPN
fuelectenerg-3144	62	26	’s	’s	PART
fuelectenerg-3144	62	27	algorithm	algorithm	NOUN
fuelectenerg-3144	62	28	(	(	PUNCT
fuelectenerg-3144	62	29	or	or	CCONJ
fuelectenerg-3144	62	30	another	another	DET
fuelectenerg-3144	62	31	quantum	quantum	ADJ
fuelectenerg-3144	62	32	algorithm	algorithm	NOUN
fuelectenerg-3144	62	33	)	)	PUNCT
fuelectenerg-3144	62	34	applied	apply	VERB
fuelectenerg-3144	62	35	to	to	PART
fuelectenerg-3144	62	36	solve	solve	VERB
fuelectenerg-3144	62	37	a	a	DET
fuelectenerg-3144	62	38	problem	problem	NOUN
fuelectenerg-3144	62	39	of	of	ADP
fuelectenerg-3144	62	40	practical	practical	ADJ
fuelectenerg-3144	62	41	interest	interest	NOUN
fuelectenerg-3144	62	42	.	.	PUNCT
fuelectenerg-3144	63	1	this	this	DET
fuelectenerg-3144	63	2	gap	gap	NOUN
fuelectenerg-3144	63	3	in	in	ADP
fuelectenerg-3144	63	4	the	the	DET
fuelectenerg-3144	63	5	literature	literature	NOUN
fuelectenerg-3144	63	6	has	have	AUX
fuelectenerg-3144	63	7	become	become	VERB
fuelectenerg-3144	63	8	increasingly	increasingly	ADV
fuelectenerg-3144	63	9	relevant	relevant	ADJ
fuelectenerg-3144	63	10	as	as	SCONJ
fuelectenerg-3144	63	11	large	large	ADJ
fuelectenerg-3144	63	12	-	-	PUNCT
fuelectenerg-3144	63	13	scale	scale	NOUN
fuelectenerg-3144	63	14	quantum	quantum	NOUN
fuelectenerg-3144	63	15	computers	computer	NOUN
fuelectenerg-3144	63	16	move	move	VERB
fuelectenerg-3144	63	17	ever	ever	ADV
fuelectenerg-3144	63	18	closer	close	ADV
fuelectenerg-3144	63	19	to	to	PART
fuelectenerg-3144	63	20	reality.2	reality.2	VERB
fuelectenerg-3144	63	21	to	to	PART
fuelectenerg-3144	63	22	fill	fill	VERB
fuelectenerg-3144	63	23	this	this	DET
fuelectenerg-3144	63	24	gap	gap	NOUN
fuelectenerg-3144	63	25	,	,	PUNCT
fuelectenerg-3144	63	26	we	we	PRON
fuelectenerg-3144	63	27	demonstrate	demonstrate	VERB
fuelectenerg-3144	63	28	in	in	ADP
fuelectenerg-3144	63	29	this	this	DET
fuelectenerg-3144	63	30	work	work	NOUN
fuelectenerg-3144	63	31	how	how	SCONJ
fuelectenerg-3144	63	32	grover	grover	NOUN
fuelectenerg-3144	63	33	’s	’s	PART
fuelectenerg-3144	63	34	algorithm	algorithm	NOUN
fuelectenerg-3144	63	35	can	can	AUX
fuelectenerg-3144	63	36	be	be	AUX
fuelectenerg-3144	63	37	applied	apply	VERB
fuelectenerg-3144	63	38	to	to	ADP
fuelectenerg-3144	63	39	the	the	DET
fuelectenerg-3144	63	40	problem	problem	NOUN
fuelectenerg-3144	63	41	of	of	ADP
fuelectenerg-3144	63	42	state	state	NOUN
fuelectenerg-3144	63	43	encoding	encoding	NOUN
fuelectenerg-3144	63	44	for	for	ADP
fuelectenerg-3144	63	45	finite	finite	ADJ
fuelectenerg-3144	63	46	state	state	NOUN
fuelectenerg-3144	63	47	machines	machine	NOUN
fuelectenerg-3144	63	48	(	(	PUNCT
fuelectenerg-3144	63	49	fsms	fsms	PROPN
fuelectenerg-3144	63	50	)	)	PUNCT
fuelectenerg-3144	63	51	.	.	PUNCT
fuelectenerg-3144	64	1	a	a	DET
fuelectenerg-3144	64	2	well	well	ADV
fuelectenerg-3144	64	3	-	-	PUNCT
fuelectenerg-3144	64	4	known	know	VERB
fuelectenerg-3144	64	5	problem	problem	NOUN
fuelectenerg-3144	64	6	in	in	ADP
fuelectenerg-3144	64	7	digital	digital	ADJ
fuelectenerg-3144	64	8	logic	logic	NOUN
fuelectenerg-3144	64	9	design	design	NOUN
fuelectenerg-3144	64	10	,	,	PUNCT
fuelectenerg-3144	64	11	which	which	PRON
fuelectenerg-3144	64	12	has	have	AUX
fuelectenerg-3144	64	13	been	be	AUX
fuelectenerg-3144	64	14	recognized	recognize	VERB
fuelectenerg-3144	64	15	for	for	ADP
fuelectenerg-3144	64	16	over	over	ADP
fuelectenerg-3144	64	17	50	50	NUM
fuelectenerg-3144	64	18	years	year	NOUN
fuelectenerg-3144	65	1	[	[	X
fuelectenerg-3144	65	2	6	6	NUM
fuelectenerg-3144	65	3	,	,	PUNCT
fuelectenerg-3144	65	4	7	7	NUM
fuelectenerg-3144	65	5	]	]	PUNCT
fuelectenerg-3144	65	6	and	and	CCONJ
fuelectenerg-3144	65	7	today	today	NOUN
fuelectenerg-3144	65	8	remains	remain	VERB
fuelectenerg-3144	65	9	important	important	ADJ
fuelectenerg-3144	65	10	and	and	CCONJ
fuelectenerg-3144	65	11	relevant	relevant	ADJ
fuelectenerg-3144	65	12	to	to	ADP
fuelectenerg-3144	65	13	the	the	DET
fuelectenerg-3144	65	14	design	design	NOUN
fuelectenerg-3144	65	15	of	of	ADP
fuelectenerg-3144	65	16	virtually	virtually	ADV
fuelectenerg-3144	65	17	all	all	PRON
fuelectenerg-3144	65	18	very	very	ADV
fuelectenerg-3144	65	19	-	-	PUNCT
fuelectenerg-3144	65	20	large	large	ADJ
fuelectenerg-3144	65	21	-	-	PUNCT
fuelectenerg-3144	65	22	scale	scale	NOUN
fuelectenerg-3144	65	23	integrated	integrate	VERB
fuelectenerg-3144	65	24	(	(	PUNCT
fuelectenerg-3144	65	25	vlsi	vlsi	NOUN
fuelectenerg-3144	65	26	)	)	PUNCT
fuelectenerg-3144	65	27	circuits	circuit	NOUN
fuelectenerg-3144	65	28	and	and	CCONJ
fuelectenerg-3144	65	29	systems	system	NOUN
fuelectenerg-3144	65	30	including	include	VERB
fuelectenerg-3144	65	31	microprocessors	microprocessor	NOUN
fuelectenerg-3144	65	32	,	,	PUNCT
fuelectenerg-3144	65	33	state	state	NOUN
fuelectenerg-3144	65	34	encoding	encoding	NOUN
fuelectenerg-3144	65	35	(	(	PUNCT
fuelectenerg-3144	65	36	a.k.a	a.k.a	ADJ
fuelectenerg-3144	65	37	.	.	PUNCT
fuelectenerg-3144	65	38	state	state	PROPN
fuelectenerg-3144	65	39	assignment	assignment	NOUN
fuelectenerg-3144	65	40	)	)	PUNCT
fuelectenerg-3144	65	41	is	be	AUX
fuelectenerg-3144	65	42	the	the	DET
fuelectenerg-3144	65	43	assignment	assignment	NOUN
fuelectenerg-3144	65	44	of	of	ADP
fuelectenerg-3144	65	45	binary	binary	ADJ
fuelectenerg-3144	65	46	states	state	NOUN
fuelectenerg-3144	65	47	in	in	ADP
fuelectenerg-3144	65	48	a	a	DET
fuelectenerg-3144	65	49	digital	digital	ADJ
fuelectenerg-3144	65	50	logic	logic	NOUN
fuelectenerg-3144	65	51	circuit	circuit	NOUN
fuelectenerg-3144	65	52	to	to	PART
fuelectenerg-3144	65	53	represent	represent	VERB
fuelectenerg-3144	65	54	the	the	DET
fuelectenerg-3144	65	55	internal	internal	ADJ
fuelectenerg-3144	65	56	states	state	NOUN
fuelectenerg-3144	65	57	of	of	ADP
fuelectenerg-3144	65	58	an	an	DET
fuelectenerg-3144	65	59	fsm	fsm	PROPN
fuelectenerg-3144	65	60	.	.	PUNCT
fuelectenerg-3144	66	1	distinct	distinct	ADJ
fuelectenerg-3144	66	2	encodings	encoding	NOUN
fuelectenerg-3144	66	3	for	for	ADP
fuelectenerg-3144	66	4	the	the	DET
fuelectenerg-3144	66	5	same	same	ADJ
fuelectenerg-3144	66	6	fsm	fsm	PROPN
fuelectenerg-3144	66	7	produce	produce	VERB
fuelectenerg-3144	66	8	distinct	distinct	ADJ
fuelectenerg-3144	66	9	implementations	implementation	NOUN
fuelectenerg-3144	66	10	in	in	ADP
fuelectenerg-3144	66	11	digital	digital	ADJ
fuelectenerg-3144	66	12	logic	logic	NOUN
fuelectenerg-3144	66	13	,	,	PUNCT
fuelectenerg-3144	66	14	which	which	PRON
fuelectenerg-3144	66	15	may	may	AUX
fuelectenerg-3144	66	16	differ	differ	VERB
fuelectenerg-3144	66	17	considerably	considerably	ADV
fuelectenerg-3144	66	18	in	in	ADP
fuelectenerg-3144	66	19	complexity	complexity	NOUN
fuelectenerg-3144	66	20	[	[	X
fuelectenerg-3144	66	21	6	6	NUM
fuelectenerg-3144	66	22	]	]	PUNCT
fuelectenerg-3144	66	23	.	.	PUNCT
fuelectenerg-3144	67	1	usually	usually	ADV
fuelectenerg-3144	67	2	,	,	PUNCT
fuelectenerg-3144	67	3	one	one	PRON
fuelectenerg-3144	67	4	wishes	wish	VERB
fuelectenerg-3144	67	5	to	to	PART
fuelectenerg-3144	67	6	find	find	VERB
fuelectenerg-3144	67	7	a	a	DET
fuelectenerg-3144	67	8	state	state	NOUN
fuelectenerg-3144	67	9	encoding	encoding	NOUN
fuelectenerg-3144	67	10	which	which	PRON
fuelectenerg-3144	67	11	is	be	AUX
fuelectenerg-3144	67	12	minimal	minimal	ADJ
fuelectenerg-3144	67	13	with	with	ADP
fuelectenerg-3144	67	14	respect	respect	NOUN
fuelectenerg-3144	67	15	to	to	ADP
fuelectenerg-3144	67	16	some	some	DET
fuelectenerg-3144	67	17	metric	metric	ADJ
fuelectenerg-3144	67	18	,	,	PUNCT
fuelectenerg-3144	67	19	e.g.	e.g.	ADV
fuelectenerg-3144	67	20	,	,	PUNCT
fuelectenerg-3144	67	21	power	power	NOUN
fuelectenerg-3144	67	22	[	[	X
fuelectenerg-3144	67	23	8	8	NUM
fuelectenerg-3144	67	24	,	,	PUNCT
fuelectenerg-3144	67	25	9	9	NUM
fuelectenerg-3144	67	26	]	]	PUNCT
fuelectenerg-3144	67	27	or	or	CCONJ
fuelectenerg-3144	67	28	silicon	silicon	NOUN
fuelectenerg-3144	67	29	area	area	NOUN
fuelectenerg-3144	67	30	[	[	X
fuelectenerg-3144	67	31	10	10	NUM
fuelectenerg-3144	67	32	,	,	PUNCT
fuelectenerg-3144	67	33	11	11	NUM
fuelectenerg-3144	67	34	]	]	PUNCT
fuelectenerg-3144	67	35	of	of	ADP
fuelectenerg-3144	67	36	the	the	DET
fuelectenerg-3144	67	37	resulting	result	VERB
fuelectenerg-3144	67	38	digital	digital	ADJ
fuelectenerg-3144	67	39	circuit	circuit	NOUN
fuelectenerg-3144	67	40	.	.	PUNCT
fuelectenerg-3144	68	1	our	our	PRON
fuelectenerg-3144	68	2	goal	goal	NOUN
fuelectenerg-3144	68	3	is	be	AUX
fuelectenerg-3144	68	4	to	to	PART
fuelectenerg-3144	68	5	find	find	VERB
fuelectenerg-3144	68	6	the	the	DET
fuelectenerg-3144	68	7	exact	exact	ADJ
fuelectenerg-3144	68	8	minimum	minimum	NOUN
fuelectenerg-3144	68	9	(	(	PUNCT
fuelectenerg-3144	68	10	with	with	ADP
fuelectenerg-3144	68	11	respect	respect	NOUN
fuelectenerg-3144	68	12	to	to	ADP
fuelectenerg-3144	68	13	one	one	NUM
fuelectenerg-3144	68	14	particular	particular	ADJ
fuelectenerg-3144	68	15	metric	metric	ADJ
fuelectenerg-3144	68	16	)	)	PUNCT
fuelectenerg-3144	68	17	solution	solution	NOUN
fuelectenerg-3144	68	18	for	for	ADP
fuelectenerg-3144	68	19	state	state	NOUN
fuelectenerg-3144	68	20	and	and	CCONJ
fuelectenerg-3144	68	21	input	input	NOUN
fuelectenerg-3144	68	22	encoding	encoding	NOUN
fuelectenerg-3144	68	23	of	of	ADP
fuelectenerg-3144	68	24	finite	finite	ADJ
fuelectenerg-3144	68	25	state	state	NOUN
fuelectenerg-3144	68	26	machines	machine	NOUN
fuelectenerg-3144	68	27	.	.	PUNCT
fuelectenerg-3144	69	1	so	so	ADV
fuelectenerg-3144	69	2	far	far	ADV
fuelectenerg-3144	69	3	,	,	PUNCT
fuelectenerg-3144	69	4	only	only	ADV
fuelectenerg-3144	69	5	one	one	NUM
fuelectenerg-3144	69	6	previous	previous	ADJ
fuelectenerg-3144	69	7	work	work	NOUN
fuelectenerg-3144	69	8	[	[	X
fuelectenerg-3144	69	9	12	12	NUM
fuelectenerg-3144	69	10	]	]	PUNCT
fuelectenerg-3144	69	11	has	have	AUX
fuelectenerg-3144	69	12	attempted	attempt	VERB
fuelectenerg-3144	69	13	to	to	PART
fuelectenerg-3144	69	14	find	find	VERB
fuelectenerg-3144	69	15	exact	exact	ADJ
fuelectenerg-3144	69	16	minimum	minimum	ADJ
fuelectenerg-3144	69	17	solutions	solution	NOUN
fuelectenerg-3144	69	18	to	to	ADP
fuelectenerg-3144	69	19	this	this	DET
fuelectenerg-3144	69	20	problem	problem	NOUN
fuelectenerg-3144	69	21	.	.	PUNCT
fuelectenerg-3144	70	1	furthermore	furthermore	ADV
fuelectenerg-3144	70	2	,	,	PUNCT
fuelectenerg-3144	70	3	the	the	DET
fuelectenerg-3144	70	4	methods	method	NOUN
fuelectenerg-3144	70	5	in	in	ADP
fuelectenerg-3144	70	6	[	[	X
fuelectenerg-3144	70	7	12	12	NUM
fuelectenerg-3144	70	8	]	]	PUNCT
fuelectenerg-3144	70	9	find	find	VERB
fuelectenerg-3144	70	10	solutions	solution	NOUN
fuelectenerg-3144	70	11	for	for	ADP
fuelectenerg-3144	70	12	only	only	ADJ
fuelectenerg-3144	70	13	state	state	NOUN
fuelectenerg-3144	70	14	and	and	CCONJ
fuelectenerg-3144	70	15	not	not	PART
fuelectenerg-3144	70	16	input	input	NOUN
fuelectenerg-3144	70	17	encoding	encoding	NOUN
fuelectenerg-3144	70	18	.	.	PUNCT
fuelectenerg-3144	71	1	there	there	PRON
fuelectenerg-3144	71	2	is	be	VERB
fuelectenerg-3144	71	3	currently	currently	ADV
fuelectenerg-3144	71	4	no	no	DET
fuelectenerg-3144	71	5	published	publish	VERB
fuelectenerg-3144	71	6	result	result	NOUN
fuelectenerg-3144	71	7	that	that	PRON
fuelectenerg-3144	71	8	finds	find	VERB
fuelectenerg-3144	71	9	the	the	DET
fuelectenerg-3144	71	10	exact	exact	ADJ
fuelectenerg-3144	71	11	minimum	minimum	ADJ
fuelectenerg-3144	71	12	solution	solution	NOUN
fuelectenerg-3144	71	13	for	for	ADP
fuelectenerg-3144	71	14	concurrent	concurrent	ADJ
fuelectenerg-3144	71	15	state	state	NOUN
fuelectenerg-3144	71	16	and	and	CCONJ
fuelectenerg-3144	71	17	input	input	NOUN
fuelectenerg-3144	71	18	assignment	assignment	NOUN
fuelectenerg-3144	71	19	.	.	PUNCT
fuelectenerg-3144	72	1	the	the	DET
fuelectenerg-3144	72	2	methods	method	NOUN
fuelectenerg-3144	72	3	in	in	ADP
fuelectenerg-3144	72	4	[	[	X
fuelectenerg-3144	72	5	12	12	NUM
fuelectenerg-3144	72	6	]	]	PUNCT
fuelectenerg-3144	72	7	rely	rely	NOUN
fuelectenerg-3144	72	8	on	on	ADP
fuelectenerg-3144	72	9	finding	find	VERB
fuelectenerg-3144	72	10	prime	prime	ADJ
fuelectenerg-3144	72	11	implicants	implicant	NOUN
fuelectenerg-3144	72	12	and	and	CCONJ
fuelectenerg-3144	72	13	solving	solve	VERB
fuelectenerg-3144	72	14	a	a	DET
fuelectenerg-3144	72	15	covering	covering	NOUN
fuelectenerg-3144	72	16	problem	problem	NOUN
fuelectenerg-3144	72	17	on	on	ADP
fuelectenerg-3144	72	18	the	the	DET
fuelectenerg-3144	72	19	set	set	NOUN
fuelectenerg-3144	72	20	of	of	ADP
fuelectenerg-3144	72	21	all	all	DET
fuelectenerg-3144	72	22	prime	prime	ADJ
fuelectenerg-3144	72	23	implicants	implicant	NOUN
fuelectenerg-3144	72	24	.	.	PUNCT
fuelectenerg-3144	73	1	this	this	PRON
fuelectenerg-3144	73	2	would	would	AUX
fuelectenerg-3144	73	3	be	be	AUX
fuelectenerg-3144	73	4	difficult	difficult	ADJ
fuelectenerg-3144	73	5	to	to	PART
fuelectenerg-3144	73	6	implement	implement	VERB
fuelectenerg-3144	73	7	using	use	VERB
fuelectenerg-3144	73	8	grover	grover	NOUN
fuelectenerg-3144	73	9	’s	’s	PART
fuelectenerg-3144	73	10	algorithm	algorithm	NOUN
fuelectenerg-3144	73	11	on	on	ADP
fuelectenerg-3144	73	12	a	a	DET
fuelectenerg-3144	73	13	quantum	quantum	ADJ
fuelectenerg-3144	73	14	computer	computer	NOUN
fuelectenerg-3144	73	15	because	because	SCONJ
fuelectenerg-3144	73	16	at	at	ADV
fuelectenerg-3144	73	17	least	least	ADV
fuelectenerg-3144	73	18	one	one	NUM
fuelectenerg-3144	73	19	qubit	qubit	NOUN
fuelectenerg-3144	73	20	would	would	AUX
fuelectenerg-3144	73	21	be	be	AUX
fuelectenerg-3144	73	22	required	require	VERB
fuelectenerg-3144	73	23	for	for	ADP
fuelectenerg-3144	73	24	each	each	DET
fuelectenerg-3144	73	25	prime	prime	ADJ
fuelectenerg-3144	73	26	implicant	implicant	NOUN
fuelectenerg-3144	73	27	and	and	CCONJ
fuelectenerg-3144	73	28	the	the	DET
fuelectenerg-3144	73	29	total	total	ADJ
fuelectenerg-3144	73	30	number	number	NOUN
fuelectenerg-3144	73	31	of	of	ADP
fuelectenerg-3144	73	32	prime	prime	ADJ
fuelectenerg-3144	73	33	implicants	implicant	NOUN
fuelectenerg-3144	73	34	can	can	AUX
fuelectenerg-3144	73	35	be	be	AUX
fuelectenerg-3144	73	36	extremely	extremely	ADV
fuelectenerg-3144	73	37	large	large	ADJ
fuelectenerg-3144	73	38	.	.	PUNCT
fuelectenerg-3144	74	1	therefore	therefore	ADV
fuelectenerg-3144	74	2	,	,	PUNCT
fuelectenerg-3144	74	3	we	we	PRON
fuelectenerg-3144	74	4	do	do	AUX
fuelectenerg-3144	74	5	not	not	PART
fuelectenerg-3144	74	6	attempt	attempt	VERB
fuelectenerg-3144	74	7	to	to	PART
fuelectenerg-3144	74	8	directly	directly	ADV
fuelectenerg-3144	74	9	adapt	adapt	VERB
fuelectenerg-3144	74	10	the	the	DET
fuelectenerg-3144	74	11	approach	approach	NOUN
fuelectenerg-3144	74	12	presented	present	VERB
fuelectenerg-3144	74	13	in	in	ADP
fuelectenerg-3144	74	14	[	[	X
fuelectenerg-3144	74	15	12	12	NUM
fuelectenerg-3144	74	16	]	]	PUNCT
fuelectenerg-3144	74	17	for	for	ADP
fuelectenerg-3144	74	18	a	a	DET
fuelectenerg-3144	74	19	quantum	quantum	ADJ
fuelectenerg-3144	74	20	computer	computer	NOUN
fuelectenerg-3144	74	21	.	.	PUNCT
fuelectenerg-3144	75	1	instead	instead	ADV
fuelectenerg-3144	75	2	,	,	PUNCT
fuelectenerg-3144	75	3	we	we	PRON
fuelectenerg-3144	75	4	use	use	VERB
fuelectenerg-3144	75	5	a	a	DET
fuelectenerg-3144	75	6	simplified	simplified	ADJ
fuelectenerg-3144	75	7	cost	cost	NOUN
fuelectenerg-3144	75	8	metric	metric	NOUN
fuelectenerg-3144	75	9	from	from	ADP
fuelectenerg-3144	75	10	[	[	X
fuelectenerg-3144	75	11	6	6	NUM
fuelectenerg-3144	75	12	,	,	PUNCT
fuelectenerg-3144	75	13	7	7	NUM
fuelectenerg-3144	75	14	]	]	PUNCT
fuelectenerg-3144	75	15	,	,	PUNCT
fuelectenerg-3144	75	16	in	in	ADP
fuelectenerg-3144	75	17	which	which	PRON
fuelectenerg-3144	75	18	the	the	DET
fuelectenerg-3144	75	19	cost	cost	NOUN
fuelectenerg-3144	75	20	of	of	ADP
fuelectenerg-3144	75	21	an	an	DET
fuelectenerg-3144	75	22	encoding	encoding	NOUN
fuelectenerg-3144	75	23	is	be	AUX
fuelectenerg-3144	75	24	defined	define	VERB
fuelectenerg-3144	75	25	as	as	ADP
fuelectenerg-3144	75	26	the	the	DET
fuelectenerg-3144	75	27	total	total	ADJ
fuelectenerg-3144	75	28	number	number	NOUN
fuelectenerg-3144	75	29	of	of	ADP
fuelectenerg-3144	75	30	dependencies	dependency	NOUN
fuelectenerg-3144	75	31	of	of	ADP
fuelectenerg-3144	75	32	the	the	DET
fuelectenerg-3144	75	33	next	next	ADJ
fuelectenerg-3144	75	34	-	-	PUNCT
fuelectenerg-3144	75	35	state	state	NOUN
fuelectenerg-3144	75	36	functions	function	NOUN
fuelectenerg-3144	75	37	on	on	ADP
fuelectenerg-3144	75	38	current	current	ADJ
fuelectenerg-3144	75	39	state	state	NOUN
fuelectenerg-3144	75	40	and	and	CCONJ
fuelectenerg-3144	75	41	input	input	NOUN
fuelectenerg-3144	75	42	variables	variable	NOUN
fuelectenerg-3144	75	43	.	.	PUNCT
fuelectenerg-3144	76	1	the	the	DET
fuelectenerg-3144	76	2	use	use	NOUN
fuelectenerg-3144	76	3	of	of	ADP
fuelectenerg-3144	76	4	this	this	DET
fuelectenerg-3144	76	5	metric	metric	NOUN
fuelectenerg-3144	76	6	makes	make	VERB
fuelectenerg-3144	76	7	it	it	PRON
fuelectenerg-3144	76	8	easier	easy	ADJ
fuelectenerg-3144	76	9	to	to	PART
fuelectenerg-3144	76	10	construct	construct	VERB
fuelectenerg-3144	76	11	the	the	DET
fuelectenerg-3144	76	12	quantum	quantum	ADJ
fuelectenerg-3144	76	13	circuits	circuit	NOUN
fuelectenerg-3144	76	14	necessary	necessary	ADJ
fuelectenerg-3144	76	15	to	to	PART
fuelectenerg-3144	76	16	use	use	VERB
fuelectenerg-3144	76	17	grover	grover	NOUN
fuelectenerg-3144	76	18	’s	’s	PART
fuelectenerg-3144	76	19	algorithm	algorithm	NOUN
fuelectenerg-3144	76	20	to	to	PART
fuelectenerg-3144	76	21	search	search	VERB
fuelectenerg-3144	76	22	for	for	ADP
fuelectenerg-3144	76	23	encodings	encoding	NOUN
fuelectenerg-3144	76	24	.	.	PUNCT
fuelectenerg-3144	77	1	since	since	SCONJ
fuelectenerg-3144	77	2	grover	grover	PROPN
fuelectenerg-3144	77	3	’s	’s	PART
fuelectenerg-3144	77	4	algorithm	algorithm	NOUN
fuelectenerg-3144	77	5	effectively	effectively	ADV
fuelectenerg-3144	77	6	performs	perform	VERB
fuelectenerg-3144	77	7	an	an	DET
fuelectenerg-3144	77	8	exhaustive	exhaustive	ADJ
fuelectenerg-3144	77	9	search	search	NOUN
fuelectenerg-3144	77	10	,	,	PUNCT
fuelectenerg-3144	77	11	our	our	PRON
fuelectenerg-3144	77	12	method	method	NOUN
fuelectenerg-3144	77	13	is	be	AUX
fuelectenerg-3144	77	14	always	always	ADV
fuelectenerg-3144	77	15	able	able	ADJ
fuelectenerg-3144	77	16	to	to	PART
fuelectenerg-3144	77	17	find	find	VERB
fuelectenerg-3144	77	18	an	an	DET
fuelectenerg-3144	77	19	encoding	encoding	NOUN
fuelectenerg-3144	77	20	with	with	ADP
fuelectenerg-3144	77	21	exact	exact	ADJ
fuelectenerg-3144	77	22	minimum	minimum	ADJ
fuelectenerg-3144	77	23	cost	cost	NOUN
fuelectenerg-3144	77	24	.	.	PUNCT
fuelectenerg-3144	78	1	the	the	DET
fuelectenerg-3144	78	2	techniques	technique	NOUN
fuelectenerg-3144	78	3	that	that	PRON
fuelectenerg-3144	78	4	we	we	PRON
fuelectenerg-3144	78	5	use	use	VERB
fuelectenerg-3144	78	6	to	to	PART
fuelectenerg-3144	78	7	adapt	adapt	VERB
fuelectenerg-3144	78	8	grover	grover	NOUN
fuelectenerg-3144	78	9	’s	’s	PART
fuelectenerg-3144	78	10	algorithm	algorithm	NOUN
fuelectenerg-3144	78	11	for	for	ADP
fuelectenerg-3144	78	12	the	the	DET
fuelectenerg-3144	78	13	purpose	purpose	NOUN
fuelectenerg-3144	78	14	of	of	ADP
fuelectenerg-3144	78	15	encoding	encode	VERB
fuelectenerg-3144	78	16	finite	finite	ADJ
fuelectenerg-3144	78	17	state	state	NOUN
fuelectenerg-3144	78	18	machines	machine	NOUN
fuelectenerg-3144	78	19	may	may	AUX
fuelectenerg-3144	78	20	prove	prove	VERB
fuelectenerg-3144	78	21	useful	useful	ADJ
fuelectenerg-3144	78	22	for	for	ADP
fuelectenerg-3144	78	23	other	other	ADJ
fuelectenerg-3144	78	24	purposes	purpose	NOUN
fuelectenerg-3144	78	25	as	as	ADV
fuelectenerg-3144	78	26	well	well	ADV
fuelectenerg-3144	78	27	.	.	PUNCT
fuelectenerg-3144	79	1	2see	2see	NOUN
fuelectenerg-3144	79	2	above	above	ADV
fuelectenerg-3144	79	3	;	;	PUNCT
fuelectenerg-3144	79	4	see	see	VERB
fuelectenerg-3144	79	5	also	also	ADV
fuelectenerg-3144	79	6	[	[	X
fuelectenerg-3144	79	7	5	5	NUM
fuelectenerg-3144	79	8	]	]	PUNCT
fuelectenerg-3144	79	9	,	,	PUNCT
fuelectenerg-3144	79	10	abstract	abstract	ADJ
fuelectenerg-3144	79	11	:	:	PUNCT
fuelectenerg-3144	79	12	“	"	PUNCT
fuelectenerg-3144	79	13	advanced	advanced	ADJ
fuelectenerg-3144	79	14	quantum	quantum	NOUN
fuelectenerg-3144	79	15	simulation	simulation	NOUN
fuelectenerg-3144	79	16	experiments	experiment	NOUN
fuelectenerg-3144	79	17	have	have	AUX
fuelectenerg-3144	79	18	been	be	AUX
fuelectenerg-3144	79	19	shown	show	VERB
fuelectenerg-3144	79	20	with	with	ADP
fuelectenerg-3144	79	21	up	up	ADP
fuelectenerg-3144	79	22	to	to	PART
fuelectenerg-3144	79	23	nine	nine	NUM
fuelectenerg-3144	79	24	qubits	qubit	NOUN
fuelectenerg-3144	79	25	,	,	PUNCT
fuelectenerg-3144	79	26	while	while	SCONJ
fuelectenerg-3144	79	27	a	a	DET
fuelectenerg-3144	79	28	demonstration	demonstration	NOUN
fuelectenerg-3144	79	29	of	of	ADP
fuelectenerg-3144	79	30	quantum	quantum	ADJ
fuelectenerg-3144	79	31	supremacy	supremacy	NOUN
fuelectenerg-3144	79	32	with	with	ADP
fuelectenerg-3144	79	33	fifty	fifty	NUM
fuelectenerg-3144	79	34	qubits	qubit	NOUN
fuelectenerg-3144	79	35	is	be	AUX
fuelectenerg-3144	79	36	anticipated	anticipate	VERB
fuelectenerg-3144	79	37	in	in	ADP
fuelectenerg-3144	79	38	just	just	ADV
fuelectenerg-3144	79	39	a	a	DET
fuelectenerg-3144	79	40	few	few	ADJ
fuelectenerg-3144	79	41	years	year	NOUN
fuelectenerg-3144	79	42	.	.	PUNCT
fuelectenerg-3144	80	1	quantum	quantum	ADJ
fuelectenerg-3144	80	2	supremacy	supremacy	NOUN
fuelectenerg-3144	80	3	means	mean	VERB
fuelectenerg-3144	80	4	that	that	SCONJ
fuelectenerg-3144	80	5	the	the	DET
fuelectenerg-3144	80	6	quantum	quantum	ADJ
fuelectenerg-3144	80	7	system	system	NOUN
fuelectenerg-3144	80	8	can	can	AUX
fuelectenerg-3144	80	9	no	no	ADV
fuelectenerg-3144	80	10	longer	long	ADV
fuelectenerg-3144	80	11	be	be	AUX
fuelectenerg-3144	80	12	simulated	simulate	VERB
fuelectenerg-3144	80	13	by	by	ADP
fuelectenerg-3144	80	14	the	the	DET
fuelectenerg-3144	80	15	most	most	ADV
fuelectenerg-3144	80	16	powerful	powerful	ADJ
fuelectenerg-3144	80	17	classical	classical	ADJ
fuelectenerg-3144	80	18	supercomputers	supercomputer	NOUN
fuelectenerg-3144	80	19	.	.	PUNCT
fuelectenerg-3144	80	20	”	"	PUNCT
fuelectenerg-3144	81	1	2	2	NUM
fuelectenerg-3144	81	2	2	2	NUM
fuelectenerg-3144	81	3	finite	finite	NOUN
fuelectenerg-3144	81	4	state	state	NOUN
fuelectenerg-3144	81	5	machines	machine	NOUN
fuelectenerg-3144	81	6	and	and	CCONJ
fuelectenerg-3144	81	7	state	state	NOUN
fuelectenerg-3144	81	8	encodings	encoding	NOUN
fuelectenerg-3144	81	9	2.1	2.1	NUM
fuelectenerg-3144	81	10	review	review	NOUN
fuelectenerg-3144	81	11	of	of	ADP
fuelectenerg-3144	81	12	finite	finite	ADJ
fuelectenerg-3144	81	13	state	state	NOUN
fuelectenerg-3144	81	14	machines	machine	NOUN
fuelectenerg-3144	81	15	we	we	PRON
fuelectenerg-3144	81	16	assume	assume	VERB
fuelectenerg-3144	81	17	that	that	SCONJ
fuelectenerg-3144	81	18	the	the	DET
fuelectenerg-3144	81	19	reader	reader	NOUN
fuelectenerg-3144	81	20	is	be	AUX
fuelectenerg-3144	81	21	familiar	familiar	ADJ
fuelectenerg-3144	81	22	with	with	ADP
fuelectenerg-3144	81	23	the	the	DET
fuelectenerg-3144	81	24	concept	concept	NOUN
fuelectenerg-3144	81	25	of	of	ADP
fuelectenerg-3144	81	26	finite	finite	ADJ
fuelectenerg-3144	81	27	state	state	NOUN
fuelectenerg-3144	81	28	machines	machine	NOUN
fuelectenerg-3144	81	29	(	(	PUNCT
fuelectenerg-3144	81	30	fsms	fsm	NOUN
fuelectenerg-3144	81	31	)	)	PUNCT
fuelectenerg-3144	81	32	and	and	CCONJ
fuelectenerg-3144	81	33	how	how	SCONJ
fuelectenerg-3144	81	34	they	they	PRON
fuelectenerg-3144	81	35	are	be	AUX
fuelectenerg-3144	81	36	realized	realize	VERB
fuelectenerg-3144	81	37	using	use	VERB
fuelectenerg-3144	81	38	digital	digital	ADJ
fuelectenerg-3144	81	39	logic	logic	NOUN
fuelectenerg-3144	81	40	,	,	PUNCT
fuelectenerg-3144	81	41	as	as	ADV
fuelectenerg-3144	81	42	well	well	ADV
fuelectenerg-3144	81	43	as	as	ADP
fuelectenerg-3144	81	44	with	with	ADP
fuelectenerg-3144	81	45	the	the	DET
fuelectenerg-3144	81	46	state	state	NOUN
fuelectenerg-3144	81	47	encoding	encoding	NOUN
fuelectenerg-3144	81	48	(	(	PUNCT
fuelectenerg-3144	81	49	a.k.a	a.k.a	ADJ
fuelectenerg-3144	81	50	.	.	PUNCT
fuelectenerg-3144	81	51	state	state	PROPN
fuelectenerg-3144	81	52	assignment	assignment	NOUN
fuelectenerg-3144	81	53	or	or	CCONJ
fuelectenerg-3144	81	54	secondary	secondary	ADJ
fuelectenerg-3144	81	55	state	state	NOUN
fuelectenerg-3144	81	56	assignment	assignment	NOUN
fuelectenerg-3144	81	57	)	)	PUNCT
fuelectenerg-3144	81	58	problem	problem	NOUN
fuelectenerg-3144	81	59	.	.	PUNCT
fuelectenerg-3144	82	1	for	for	ADP
fuelectenerg-3144	82	2	the	the	DET
fuelectenerg-3144	82	3	sake	sake	NOUN
fuelectenerg-3144	82	4	of	of	ADP
fuelectenerg-3144	82	5	self	self	NOUN
fuelectenerg-3144	82	6	-	-	PUNCT
fuelectenerg-3144	82	7	containment	containment	NOUN
fuelectenerg-3144	82	8	we	we	PRON
fuelectenerg-3144	82	9	briefly	briefly	ADV
fuelectenerg-3144	82	10	review	review	VERB
fuelectenerg-3144	82	11	these	these	DET
fuelectenerg-3144	82	12	subjects	subject	NOUN
fuelectenerg-3144	82	13	here	here	ADV
fuelectenerg-3144	82	14	.	.	PUNCT
fuelectenerg-3144	83	1	an	an	DET
fuelectenerg-3144	83	2	fsm	fsm	PROPN
fuelectenerg-3144	83	3	consists	consist	VERB
fuelectenerg-3144	83	4	of	of	ADP
fuelectenerg-3144	83	5	a	a	DET
fuelectenerg-3144	83	6	set	set	NOUN
fuelectenerg-3144	83	7	of	of	ADP
fuelectenerg-3144	83	8	internal	internal	ADJ
fuelectenerg-3144	83	9	states	state	NOUN
fuelectenerg-3144	83	10	(	(	PUNCT
fuelectenerg-3144	83	11	call	call	VERB
fuelectenerg-3144	83	12	it	it	PRON
fuelectenerg-3144	83	13	s	s	NOUN
fuelectenerg-3144	83	14	)	)	PUNCT
fuelectenerg-3144	83	15	together	together	ADV
fuelectenerg-3144	83	16	with	with	ADP
fuelectenerg-3144	83	17	sets	set	NOUN
fuelectenerg-3144	83	18	of	of	ADP
fuelectenerg-3144	83	19	inputs	input	NOUN
fuelectenerg-3144	83	20	and	and	CCONJ
fuelectenerg-3144	83	21	outputs	output	NOUN
fuelectenerg-3144	83	22	(	(	PUNCT
fuelectenerg-3144	83	23	call	call	VERB
fuelectenerg-3144	83	24	them	they	PRON
fuelectenerg-3144	83	25	i	i	PRON
fuelectenerg-3144	83	26	and	and	CCONJ
fuelectenerg-3144	83	27	o	o	NOUN
fuelectenerg-3144	83	28	,	,	PUNCT
fuelectenerg-3144	83	29	respectively	respectively	ADV
fuelectenerg-3144	83	30	)	)	PUNCT
fuelectenerg-3144	83	31	;	;	PUNCT
fuelectenerg-3144	83	32	at	at	ADP
fuelectenerg-3144	83	33	all	all	DET
fuelectenerg-3144	83	34	times	time	NOUN
fuelectenerg-3144	83	35	,	,	PUNCT
fuelectenerg-3144	83	36	it	it	PRON
fuelectenerg-3144	83	37	maintains	maintain	VERB
fuelectenerg-3144	83	38	a	a	DET
fuelectenerg-3144	83	39	single	single	ADJ
fuelectenerg-3144	83	40	internal	internal	ADJ
fuelectenerg-3144	83	41	state	state	NOUN
fuelectenerg-3144	83	42	which	which	PRON
fuelectenerg-3144	83	43	is	be	AUX
fuelectenerg-3144	83	44	an	an	DET
fuelectenerg-3144	83	45	element	element	NOUN
fuelectenerg-3144	83	46	of	of	ADP
fuelectenerg-3144	83	47	s	s	PROPN
fuelectenerg-3144	83	48	,	,	PUNCT
fuelectenerg-3144	83	49	is	be	AUX
fuelectenerg-3144	83	50	presented	present	VERB
fuelectenerg-3144	83	51	with	with	ADP
fuelectenerg-3144	83	52	an	an	DET
fuelectenerg-3144	83	53	input	input	NOUN
fuelectenerg-3144	83	54	value	value	NOUN
fuelectenerg-3144	83	55	which	which	PRON
fuelectenerg-3144	83	56	is	be	AUX
fuelectenerg-3144	83	57	an	an	DET
fuelectenerg-3144	83	58	element	element	NOUN
fuelectenerg-3144	83	59	of	of	ADP
fuelectenerg-3144	83	60	i	i	PRON
fuelectenerg-3144	83	61	,	,	PUNCT
fuelectenerg-3144	83	62	and	and	CCONJ
fuelectenerg-3144	83	63	produces	produce	VERB
fuelectenerg-3144	83	64	an	an	DET
fuelectenerg-3144	83	65	output	output	NOUN
fuelectenerg-3144	83	66	value	value	NOUN
fuelectenerg-3144	83	67	which	which	PRON
fuelectenerg-3144	83	68	is	be	AUX
fuelectenerg-3144	83	69	an	an	DET
fuelectenerg-3144	83	70	element	element	NOUN
fuelectenerg-3144	83	71	of	of	ADP
fuelectenerg-3144	83	72	o.	o.	PROPN
fuelectenerg-3144	83	73	the	the	DET
fuelectenerg-3144	83	74	machine	machine	NOUN
fuelectenerg-3144	83	75	’s	’s	PART
fuelectenerg-3144	83	76	operation	operation	NOUN
fuelectenerg-3144	83	77	is	be	AUX
fuelectenerg-3144	83	78	idealized	idealize	VERB
fuelectenerg-3144	83	79	as	as	ADP
fuelectenerg-3144	83	80	a	a	DET
fuelectenerg-3144	83	81	discrete	discrete	ADJ
fuelectenerg-3144	83	82	-	-	PUNCT
fuelectenerg-3144	83	83	time	time	NOUN
fuelectenerg-3144	83	84	process	process	NOUN
fuelectenerg-3144	83	85	;	;	PUNCT
fuelectenerg-3144	83	86	with	with	ADP
fuelectenerg-3144	83	87	each	each	DET
fuelectenerg-3144	83	88	successive	successive	ADJ
fuelectenerg-3144	83	89	unit	unit	NOUN
fuelectenerg-3144	83	90	of	of	ADP
fuelectenerg-3144	83	91	time	time	NOUN
fuelectenerg-3144	83	92	,	,	PUNCT
fuelectenerg-3144	83	93	it	it	PRON
fuelectenerg-3144	83	94	updates	update	VERB
fuelectenerg-3144	83	95	its	its	PRON
fuelectenerg-3144	83	96	internal	internal	ADJ
fuelectenerg-3144	83	97	state	state	NOUN
fuelectenerg-3144	83	98	and	and	CCONJ
fuelectenerg-3144	83	99	output	output	NOUN
fuelectenerg-3144	83	100	in	in	ADP
fuelectenerg-3144	83	101	a	a	DET
fuelectenerg-3144	83	102	deterministic	deterministic	ADJ
fuelectenerg-3144	83	103	fashion	fashion	NOUN
fuelectenerg-3144	83	104	based	base	VERB
fuelectenerg-3144	83	105	on	on	ADP
fuelectenerg-3144	83	106	its	its	PRON
fuelectenerg-3144	83	107	current	current	ADJ
fuelectenerg-3144	83	108	internal	internal	ADJ
fuelectenerg-3144	83	109	state	state	NOUN
fuelectenerg-3144	83	110	and	and	CCONJ
fuelectenerg-3144	83	111	the	the	DET
fuelectenerg-3144	83	112	input	input	NOUN
fuelectenerg-3144	83	113	value	value	NOUN
fuelectenerg-3144	83	114	that	that	PRON
fuelectenerg-3144	83	115	is	be	AUX
fuelectenerg-3144	83	116	being	be	AUX
fuelectenerg-3144	83	117	presented	present	VERB
fuelectenerg-3144	83	118	.	.	PUNCT
fuelectenerg-3144	84	1	thus	thus	ADV
fuelectenerg-3144	84	2	,	,	PUNCT
fuelectenerg-3144	84	3	the	the	DET
fuelectenerg-3144	84	4	internal	internal	ADJ
fuelectenerg-3144	84	5	state	state	NOUN
fuelectenerg-3144	84	6	of	of	ADP
fuelectenerg-3144	84	7	the	the	DET
fuelectenerg-3144	84	8	machine	machine	NOUN
fuelectenerg-3144	84	9	at	at	ADP
fuelectenerg-3144	84	10	time	time	NOUN
fuelectenerg-3144	84	11	t+	t+	NOUN
fuelectenerg-3144	84	12	1	1	NUM
fuelectenerg-3144	84	13	is	be	AUX
fuelectenerg-3144	84	14	a	a	DET
fuelectenerg-3144	84	15	function	function	NOUN
fuelectenerg-3144	84	16	of	of	ADP
fuelectenerg-3144	84	17	the	the	DET
fuelectenerg-3144	84	18	internal	internal	ADJ
fuelectenerg-3144	84	19	state	state	NOUN
fuelectenerg-3144	84	20	at	at	ADP
fuelectenerg-3144	84	21	time	time	NOUN
fuelectenerg-3144	84	22	t	t	PROPN
fuelectenerg-3144	84	23	and	and	CCONJ
fuelectenerg-3144	84	24	the	the	DET
fuelectenerg-3144	84	25	input	input	NOUN
fuelectenerg-3144	84	26	at	at	ADP
fuelectenerg-3144	84	27	time	time	NOUN
fuelectenerg-3144	84	28	t	t	PROPN
fuelectenerg-3144	84	29	:	:	PUNCT
fuelectenerg-3144	84	30	st+1	st+1	PROPN
fuelectenerg-3144	84	31	=	=	SYM
fuelectenerg-3144	84	32	δ(st	δ(st	NOUN
fuelectenerg-3144	84	33	,	,	PUNCT
fuelectenerg-3144	84	34	it	it	PRON
fuelectenerg-3144	84	35	)	)	PUNCT
fuelectenerg-3144	84	36	,	,	PUNCT
fuelectenerg-3144	84	37	where	where	SCONJ
fuelectenerg-3144	84	38	st	st	PROPN
fuelectenerg-3144	84	39	∈	∈	PROPN
fuelectenerg-3144	84	40	s	s	PART
fuelectenerg-3144	84	41	is	be	AUX
fuelectenerg-3144	84	42	the	the	DET
fuelectenerg-3144	84	43	internal	internal	ADJ
fuelectenerg-3144	84	44	state	state	NOUN
fuelectenerg-3144	84	45	at	at	ADP
fuelectenerg-3144	84	46	time	time	NOUN
fuelectenerg-3144	84	47	t	t	PROPN
fuelectenerg-3144	84	48	,	,	PUNCT
fuelectenerg-3144	84	49	it	it	PRON
fuelectenerg-3144	84	50	∈	∈	VERB
fuelectenerg-3144	84	51	i	i	PRON
fuelectenerg-3144	84	52	is	be	AUX
fuelectenerg-3144	84	53	the	the	DET
fuelectenerg-3144	84	54	input	input	NOUN
fuelectenerg-3144	84	55	value	value	NOUN
fuelectenerg-3144	84	56	at	at	ADP
fuelectenerg-3144	84	57	time	time	NOUN
fuelectenerg-3144	84	58	t	t	PROPN
fuelectenerg-3144	84	59	,	,	PUNCT
fuelectenerg-3144	84	60	and	and	CCONJ
fuelectenerg-3144	84	61	st+1	st+1	NUM
fuelectenerg-3144	84	62	∈	∈	NOUN
fuelectenerg-3144	84	63	s	s	VERB
fuelectenerg-3144	84	64	is	be	AUX
fuelectenerg-3144	84	65	the	the	DET
fuelectenerg-3144	84	66	internal	internal	ADJ
fuelectenerg-3144	84	67	state	state	NOUN
fuelectenerg-3144	84	68	at	at	ADP
fuelectenerg-3144	84	69	time	time	NOUN
fuelectenerg-3144	84	70	t+	t+	NOUN
fuelectenerg-3144	84	71	1	1	X
fuelectenerg-3144	84	72	.	.	PUNCT
fuelectenerg-3144	85	1	we	we	PRON
fuelectenerg-3144	85	2	refer	refer	VERB
fuelectenerg-3144	85	3	to	to	ADP
fuelectenerg-3144	85	4	the	the	DET
fuelectenerg-3144	85	5	function	function	NOUN
fuelectenerg-3144	85	6	δ	δ	PROPN
fuelectenerg-3144	85	7	as	as	ADP
fuelectenerg-3144	85	8	the	the	DET
fuelectenerg-3144	85	9	transition	transition	NOUN
fuelectenerg-3144	85	10	function	function	NOUN
fuelectenerg-3144	85	11	for	for	ADP
fuelectenerg-3144	85	12	the	the	DET
fuelectenerg-3144	85	13	fsm	fsm	PROPN
fuelectenerg-3144	85	14	.	.	PUNCT
fuelectenerg-3144	86	1	this	this	DET
fuelectenerg-3144	86	2	function	function	NOUN
fuelectenerg-3144	86	3	is	be	AUX
fuelectenerg-3144	86	4	also	also	ADV
fuelectenerg-3144	86	5	commonly	commonly	ADV
fuelectenerg-3144	86	6	called	call	VERB
fuelectenerg-3144	86	7	the	the	DET
fuelectenerg-3144	86	8	excitation	excitation	NOUN
fuelectenerg-3144	86	9	function	function	NOUN
fuelectenerg-3144	86	10	or	or	CCONJ
fuelectenerg-3144	86	11	next	next	ADJ
fuelectenerg-3144	86	12	-	-	PUNCT
fuelectenerg-3144	86	13	state	state	NOUN
fuelectenerg-3144	86	14	function	function	NOUN
fuelectenerg-3144	86	15	.	.	PUNCT
fuelectenerg-3144	87	1	the	the	DET
fuelectenerg-3144	87	2	output	output	NOUN
fuelectenerg-3144	87	3	of	of	ADP
fuelectenerg-3144	87	4	an	an	DET
fuelectenerg-3144	87	5	fsm	fsm	PROPN
fuelectenerg-3144	87	6	can	can	AUX
fuelectenerg-3144	87	7	either	either	CCONJ
fuelectenerg-3144	87	8	directly	directly	ADV
fuelectenerg-3144	87	9	depend	depend	VERB
fuelectenerg-3144	87	10	on	on	ADP
fuelectenerg-3144	87	11	only	only	ADV
fuelectenerg-3144	87	12	its	its	PRON
fuelectenerg-3144	87	13	internal	internal	ADJ
fuelectenerg-3144	87	14	state	state	NOUN
fuelectenerg-3144	87	15	,	,	PUNCT
fuelectenerg-3144	87	16	or	or	CCONJ
fuelectenerg-3144	87	17	it	it	PRON
fuelectenerg-3144	87	18	can	can	AUX
fuelectenerg-3144	87	19	directly	directly	ADV
fuelectenerg-3144	87	20	depend	depend	VERB
fuelectenerg-3144	87	21	on	on	ADP
fuelectenerg-3144	87	22	both	both	CCONJ
fuelectenerg-3144	87	23	the	the	DET
fuelectenerg-3144	87	24	internal	internal	ADJ
fuelectenerg-3144	87	25	state	state	NOUN
fuelectenerg-3144	87	26	and	and	CCONJ
fuelectenerg-3144	87	27	the	the	DET
fuelectenerg-3144	87	28	input	input	NOUN
fuelectenerg-3144	87	29	.	.	PUNCT
fuelectenerg-3144	88	1	the	the	DET
fuelectenerg-3144	88	2	former	former	ADJ
fuelectenerg-3144	88	3	scenario	scenario	NOUN
fuelectenerg-3144	88	4	corresponds	correspond	VERB
fuelectenerg-3144	88	5	to	to	ADP
fuelectenerg-3144	88	6	a	a	DET
fuelectenerg-3144	88	7	so	so	ADV
fuelectenerg-3144	88	8	-	-	PUNCT
fuelectenerg-3144	88	9	called	call	VERB
fuelectenerg-3144	88	10	moore	moore	PROPN
fuelectenerg-3144	88	11	machine	machine	NOUN
fuelectenerg-3144	89	1	[	[	X
fuelectenerg-3144	89	2	13	13	NUM
fuelectenerg-3144	89	3	,	,	PUNCT
fuelectenerg-3144	89	4	14	14	NUM
fuelectenerg-3144	89	5	]	]	PUNCT
fuelectenerg-3144	89	6	whereas	whereas	SCONJ
fuelectenerg-3144	89	7	the	the	DET
fuelectenerg-3144	89	8	latter	latter	ADJ
fuelectenerg-3144	89	9	corresponds	correspond	VERB
fuelectenerg-3144	89	10	to	to	ADP
fuelectenerg-3144	89	11	a	a	DET
fuelectenerg-3144	89	12	so	so	ADV
fuelectenerg-3144	89	13	-	-	PUNCT
fuelectenerg-3144	89	14	called	call	VERB
fuelectenerg-3144	89	15	mealy	mealy	ADJ
fuelectenerg-3144	89	16	machine	machine	NOUN
fuelectenerg-3144	90	1	[	[	X
fuelectenerg-3144	90	2	15	15	NUM
fuelectenerg-3144	90	3	,	,	PUNCT
fuelectenerg-3144	90	4	14	14	NUM
fuelectenerg-3144	90	5	]	]	PUNCT
fuelectenerg-3144	90	6	.	.	PUNCT
fuelectenerg-3144	91	1	here	here	ADV
fuelectenerg-3144	91	2	,	,	PUNCT
fuelectenerg-3144	91	3	as	as	SCONJ
fuelectenerg-3144	91	4	will	will	AUX
fuelectenerg-3144	91	5	be	be	AUX
fuelectenerg-3144	91	6	discussed	discuss	VERB
fuelectenerg-3144	91	7	in	in	ADP
fuelectenerg-3144	91	8	more	more	ADJ
fuelectenerg-3144	91	9	detail	detail	NOUN
fuelectenerg-3144	91	10	below	below	ADV
fuelectenerg-3144	91	11	,	,	PUNCT
fuelectenerg-3144	91	12	we	we	PRON
fuelectenerg-3144	91	13	only	only	ADV
fuelectenerg-3144	91	14	consider	consider	VERB
fuelectenerg-3144	91	15	the	the	DET
fuelectenerg-3144	91	16	problem	problem	NOUN
fuelectenerg-3144	91	17	of	of	ADP
fuelectenerg-3144	91	18	encoding	encode	VERB
fuelectenerg-3144	91	19	internal	internal	ADJ
fuelectenerg-3144	91	20	states	state	NOUN
fuelectenerg-3144	91	21	;	;	PUNCT
fuelectenerg-3144	91	22	thus	thus	ADV
fuelectenerg-3144	91	23	,	,	PUNCT
fuelectenerg-3144	91	24	the	the	DET
fuelectenerg-3144	91	25	type	type	NOUN
fuelectenerg-3144	91	26	of	of	ADP
fuelectenerg-3144	91	27	the	the	DET
fuelectenerg-3144	91	28	machine	machine	NOUN
fuelectenerg-3144	91	29	is	be	AUX
fuelectenerg-3144	91	30	irrelevant	irrelevant	ADJ
fuelectenerg-3144	91	31	and	and	CCONJ
fuelectenerg-3144	91	32	our	our	PRON
fuelectenerg-3144	91	33	work	work	NOUN
fuelectenerg-3144	91	34	is	be	AUX
fuelectenerg-3144	91	35	equally	equally	ADV
fuelectenerg-3144	91	36	applicable	applicable	ADJ
fuelectenerg-3144	91	37	to	to	ADP
fuelectenerg-3144	91	38	both	both	PRON
fuelectenerg-3144	91	39	.	.	PUNCT
fuelectenerg-3144	92	1	from	from	ADP
fuelectenerg-3144	92	2	now	now	ADV
fuelectenerg-3144	92	3	on	on	ADV
fuelectenerg-3144	92	4	,	,	PUNCT
fuelectenerg-3144	92	5	for	for	ADP
fuelectenerg-3144	92	6	the	the	DET
fuelectenerg-3144	92	7	sake	sake	NOUN
fuelectenerg-3144	92	8	of	of	ADP
fuelectenerg-3144	92	9	brevity	brevity	NOUN
fuelectenerg-3144	92	10	,	,	PUNCT
fuelectenerg-3144	92	11	we	we	PRON
fuelectenerg-3144	92	12	will	will	AUX
fuelectenerg-3144	92	13	simply	simply	ADV
fuelectenerg-3144	92	14	use	use	VERB
fuelectenerg-3144	92	15	“	"	PUNCT
fuelectenerg-3144	92	16	states	state	NOUN
fuelectenerg-3144	92	17	”	"	PUNCT
fuelectenerg-3144	92	18	to	to	PART
fuelectenerg-3144	92	19	refer	refer	VERB
fuelectenerg-3144	92	20	to	to	ADP
fuelectenerg-3144	92	21	the	the	DET
fuelectenerg-3144	92	22	internal	internal	ADJ
fuelectenerg-3144	92	23	states	state	NOUN
fuelectenerg-3144	92	24	of	of	ADP
fuelectenerg-3144	92	25	an	an	DET
fuelectenerg-3144	92	26	fsm	fsm	PROPN
fuelectenerg-3144	92	27	.	.	PUNCT
fuelectenerg-3144	93	1	the	the	DET
fuelectenerg-3144	93	2	phrase	phrase	NOUN
fuelectenerg-3144	93	3	“	"	PUNCT
fuelectenerg-3144	93	4	internal	internal	ADJ
fuelectenerg-3144	93	5	states	state	NOUN
fuelectenerg-3144	93	6	”	"	PUNCT
fuelectenerg-3144	93	7	avoids	avoid	VERB
fuelectenerg-3144	93	8	confusion	confusion	NOUN
fuelectenerg-3144	93	9	with	with	ADP
fuelectenerg-3144	93	10	other	other	ADJ
fuelectenerg-3144	93	11	objects	object	NOUN
fuelectenerg-3144	93	12	also	also	ADV
fuelectenerg-3144	93	13	referred	refer	VERB
fuelectenerg-3144	93	14	to	to	ADP
fuelectenerg-3144	93	15	as	as	ADP
fuelectenerg-3144	93	16	“	"	PUNCT
fuelectenerg-3144	93	17	states	state	NOUN
fuelectenerg-3144	93	18	”	"	PUNCT
fuelectenerg-3144	93	19	,	,	PUNCT
fuelectenerg-3144	93	20	in	in	ADP
fuelectenerg-3144	93	21	particular	particular	ADJ
fuelectenerg-3144	93	22	the	the	DET
fuelectenerg-3144	93	23	input	input	NOUN
fuelectenerg-3144	93	24	and	and	CCONJ
fuelectenerg-3144	93	25	output	output	NOUN
fuelectenerg-3144	93	26	values	value	NOUN
fuelectenerg-3144	93	27	which	which	PRON
fuelectenerg-3144	93	28	are	be	AUX
fuelectenerg-3144	93	29	sometimes	sometimes	ADV
fuelectenerg-3144	93	30	called	call	VERB
fuelectenerg-3144	93	31	input	input	NOUN
fuelectenerg-3144	93	32	and	and	CCONJ
fuelectenerg-3144	93	33	output	output	NOUN
fuelectenerg-3144	93	34	states	state	NOUN
fuelectenerg-3144	93	35	,	,	PUNCT
fuelectenerg-3144	93	36	respectively	respectively	ADV
fuelectenerg-3144	93	37	.	.	PUNCT
fuelectenerg-3144	94	1	we	we	PRON
fuelectenerg-3144	94	2	will	will	AUX
fuelectenerg-3144	94	3	always	always	ADV
fuelectenerg-3144	94	4	use	use	VERB
fuelectenerg-3144	94	5	the	the	DET
fuelectenerg-3144	94	6	phrases	phrase	NOUN
fuelectenerg-3144	94	7	“	"	PUNCT
fuelectenerg-3144	94	8	input	input	NOUN
fuelectenerg-3144	94	9	(	(	PUNCT
fuelectenerg-3144	94	10	output	output	NOUN
fuelectenerg-3144	94	11	)	)	PUNCT
fuelectenerg-3144	94	12	”	"	PUNCT
fuelectenerg-3144	94	13	or	or	CCONJ
fuelectenerg-3144	94	14	“	"	PUNCT
fuelectenerg-3144	94	15	input	input	NOUN
fuelectenerg-3144	94	16	(	(	PUNCT
fuelectenerg-3144	94	17	output	output	NOUN
fuelectenerg-3144	94	18	)	)	PUNCT
fuelectenerg-3144	94	19	values	value	NOUN
fuelectenerg-3144	94	20	”	"	PUNCT
fuelectenerg-3144	94	21	here	here	ADV
fuelectenerg-3144	94	22	,	,	PUNCT
fuelectenerg-3144	94	23	so	so	SCONJ
fuelectenerg-3144	94	24	that	that	SCONJ
fuelectenerg-3144	94	25	there	there	PRON
fuelectenerg-3144	94	26	is	be	VERB
fuelectenerg-3144	94	27	no	no	DET
fuelectenerg-3144	94	28	risk	risk	NOUN
fuelectenerg-3144	94	29	of	of	ADP
fuelectenerg-3144	94	30	confusion	confusion	NOUN
fuelectenerg-3144	94	31	in	in	ADP
fuelectenerg-3144	94	32	using	use	VERB
fuelectenerg-3144	94	33	simply	simply	ADV
fuelectenerg-3144	94	34	“	"	PUNCT
fuelectenerg-3144	94	35	states	state	NOUN
fuelectenerg-3144	94	36	”	"	PUNCT
fuelectenerg-3144	94	37	to	to	PART
fuelectenerg-3144	94	38	refer	refer	VERB
fuelectenerg-3144	94	39	to	to	ADP
fuelectenerg-3144	94	40	internal	internal	ADJ
fuelectenerg-3144	94	41	states	state	NOUN
fuelectenerg-3144	94	42	.	.	PUNCT
fuelectenerg-3144	95	1	fsms	fsm	NOUN
fuelectenerg-3144	95	2	are	be	AUX
fuelectenerg-3144	95	3	commonly	commonly	ADV
fuelectenerg-3144	95	4	implemented	implement	VERB
fuelectenerg-3144	95	5	using	use	VERB
fuelectenerg-3144	95	6	digital	digital	ADJ
fuelectenerg-3144	95	7	logic	logic	NOUN
fuelectenerg-3144	95	8	circuits	circuit	NOUN
fuelectenerg-3144	95	9	consisting	consist	VERB
fuelectenerg-3144	95	10	of	of	ADP
fuelectenerg-3144	95	11	an	an	DET
fuelectenerg-3144	95	12	array	array	NOUN
fuelectenerg-3144	95	13	of	of	ADP
fuelectenerg-3144	95	14	flip	flip	NOUN
fuelectenerg-3144	95	15	-	-	PUNCT
fuelectenerg-3144	95	16	flops	flop	NOUN
fuelectenerg-3144	95	17	,	,	PUNCT
fuelectenerg-3144	95	18	which	which	PRON
fuelectenerg-3144	95	19	stores	store	VERB
fuelectenerg-3144	95	20	the	the	DET
fuelectenerg-3144	95	21	current	current	ADJ
fuelectenerg-3144	95	22	state	state	NOUN
fuelectenerg-3144	95	23	,	,	PUNCT
fuelectenerg-3144	95	24	together	together	ADV
fuelectenerg-3144	95	25	with	with	ADP
fuelectenerg-3144	95	26	combinational	combinational	ADJ
fuelectenerg-3144	95	27	logic	logic	NOUN
fuelectenerg-3144	95	28	(	(	PUNCT
fuelectenerg-3144	95	29	often	often	ADV
fuelectenerg-3144	95	30	referred	refer	VERB
fuelectenerg-3144	95	31	to	to	ADP
fuelectenerg-3144	95	32	as	as	ADP
fuelectenerg-3144	95	33	the	the	DET
fuelectenerg-3144	95	34	next	next	ADJ
fuelectenerg-3144	95	35	-	-	PUNCT
fuelectenerg-3144	95	36	state	state	NOUN
fuelectenerg-3144	95	37	logic	logic	NOUN
fuelectenerg-3144	95	38	)	)	PUNCT
fuelectenerg-3144	95	39	,	,	PUNCT
fuelectenerg-3144	95	40	which	which	PRON
fuelectenerg-3144	95	41	computes	compute	VERB
fuelectenerg-3144	95	42	the	the	DET
fuelectenerg-3144	95	43	next	next	ADJ
fuelectenerg-3144	95	44	state	state	NOUN
fuelectenerg-3144	95	45	from	from	ADP
fuelectenerg-3144	95	46	the	the	DET
fuelectenerg-3144	95	47	current	current	ADJ
fuelectenerg-3144	95	48	state	state	NOUN
fuelectenerg-3144	95	49	and	and	CCONJ
fuelectenerg-3144	95	50	current	current	ADJ
fuelectenerg-3144	95	51	input	input	NOUN
fuelectenerg-3144	95	52	.	.	PUNCT
fuelectenerg-3144	96	1	to	to	PART
fuelectenerg-3144	96	2	design	design	VERB
fuelectenerg-3144	96	3	this	this	DET
fuelectenerg-3144	96	4	combinational	combinational	ADJ
fuelectenerg-3144	96	5	logic	logic	NOUN
fuelectenerg-3144	96	6	,	,	PUNCT
fuelectenerg-3144	96	7	one	one	PRON
fuelectenerg-3144	96	8	must	must	AUX
fuelectenerg-3144	96	9	select	select	VERB
fuelectenerg-3144	96	10	a	a	DET
fuelectenerg-3144	96	11	state	state	NOUN
fuelectenerg-3144	96	12	encoding	encoding	NOUN
fuelectenerg-3144	96	13	,	,	PUNCT
fuelectenerg-3144	96	14	a	a	DET
fuelectenerg-3144	96	15	mapping	mapping	NOUN
fuelectenerg-3144	96	16	which	which	PRON
fuelectenerg-3144	96	17	associates	associate	VERB
fuelectenerg-3144	96	18	each	each	DET
fuelectenerg-3144	96	19	state	state	NOUN
fuelectenerg-3144	96	20	of	of	ADP
fuelectenerg-3144	96	21	the	the	DET
fuelectenerg-3144	96	22	fsm	fsm	PROPN
fuelectenerg-3144	96	23	with	with	ADP
fuelectenerg-3144	96	24	a	a	DET
fuelectenerg-3144	96	25	state	state	NOUN
fuelectenerg-3144	96	26	of	of	ADP
fuelectenerg-3144	96	27	the	the	DET
fuelectenerg-3144	96	28	flip	flip	NOUN
fuelectenerg-3144	96	29	-	-	PUNCT
fuelectenerg-3144	96	30	flop	flop	NOUN
fuelectenerg-3144	96	31	array	array	NOUN
fuelectenerg-3144	96	32	.	.	PUNCT
fuelectenerg-3144	97	1	more	more	ADV
fuelectenerg-3144	97	2	precisely	precisely	ADV
fuelectenerg-3144	97	3	,	,	PUNCT
fuelectenerg-3144	97	4	since	since	SCONJ
fuelectenerg-3144	97	5	the	the	DET
fuelectenerg-3144	97	6	state	state	NOUN
fuelectenerg-3144	97	7	of	of	ADP
fuelectenerg-3144	97	8	a	a	DET
fuelectenerg-3144	97	9	flip	flip	NOUN
fuelectenerg-3144	97	10	-	-	PUNCT
fuelectenerg-3144	97	11	flop	flop	NOUN
fuelectenerg-3144	97	12	array	array	NOUN
fuelectenerg-3144	97	13	is	be	AUX
fuelectenerg-3144	97	14	simply	simply	ADV
fuelectenerg-3144	97	15	a	a	DET
fuelectenerg-3144	97	16	binary	binary	ADJ
fuelectenerg-3144	97	17	string	string	NOUN
fuelectenerg-3144	97	18	,	,	PUNCT
fuelectenerg-3144	97	19	a	a	DET
fuelectenerg-3144	97	20	state	state	NOUN
fuelectenerg-3144	97	21	encoding	encoding	NOUN
fuelectenerg-3144	97	22	is	be	AUX
fuelectenerg-3144	97	23	a	a	DET
fuelectenerg-3144	97	24	function	function	NOUN
fuelectenerg-3144	97	25	cs	cs	NOUN
fuelectenerg-3144	97	26	:	:	PUNCT
fuelectenerg-3144	97	27	s	s	X
fuelectenerg-3144	97	28	→	→	PUNCT
fuelectenerg-3144	97	29	{	{	PUNCT
fuelectenerg-3144	97	30	0	0	NUM
fuelectenerg-3144	97	31	,	,	PUNCT
fuelectenerg-3144	97	32	1}n	1}n	NUM
fuelectenerg-3144	97	33	that	that	PRON
fuelectenerg-3144	97	34	maps	map	VERB
fuelectenerg-3144	97	35	each	each	DET
fuelectenerg-3144	97	36	state	state	NOUN
fuelectenerg-3144	97	37	of	of	ADP
fuelectenerg-3144	97	38	the	the	DET
fuelectenerg-3144	97	39	fsm	fsm	PROPN
fuelectenerg-3144	97	40	to	to	ADP
fuelectenerg-3144	97	41	a	a	DET
fuelectenerg-3144	97	42	vector	vector	NOUN
fuelectenerg-3144	97	43	of	of	ADP
fuelectenerg-3144	97	44	flip	flip	NOUN
fuelectenerg-3144	97	45	-	-	PUNCT
fuelectenerg-3144	97	46	flop	flop	NOUN
fuelectenerg-3144	97	47	states	state	NOUN
fuelectenerg-3144	97	48	that	that	PRON
fuelectenerg-3144	97	49	represents	represent	VERB
fuelectenerg-3144	97	50	the	the	DET
fuelectenerg-3144	97	51	fsm	fsm	PROPN
fuelectenerg-3144	97	52	state	state	NOUN
fuelectenerg-3144	97	53	in	in	ADP
fuelectenerg-3144	97	54	a	a	DET
fuelectenerg-3144	97	55	digital	digital	ADJ
fuelectenerg-3144	97	56	logic	logic	NOUN
fuelectenerg-3144	97	57	circuit	circuit	NOUN
fuelectenerg-3144	97	58	.	.	PUNCT
fuelectenerg-3144	98	1	here	here	ADV
fuelectenerg-3144	98	2	,	,	PUNCT
fuelectenerg-3144	98	3	n	n	PRON
fuelectenerg-3144	98	4	denotes	denote	VERB
fuelectenerg-3144	98	5	the	the	DET
fuelectenerg-3144	98	6	number	number	NOUN
fuelectenerg-3144	98	7	of	of	ADP
fuelectenerg-3144	98	8	flip	flip	NOUN
fuelectenerg-3144	98	9	-	-	PUNCT
fuelectenerg-3144	98	10	flops	flop	NOUN
fuelectenerg-3144	98	11	in	in	ADP
fuelectenerg-3144	98	12	the	the	DET
fuelectenerg-3144	98	13	circuit	circuit	NOUN
fuelectenerg-3144	98	14	.	.	PUNCT
fuelectenerg-3144	99	1	3	3	NUM
fuelectenerg-3144	99	2	170	170	NUM
fuelectenerg-3144	99	3	e.	e.	PROPN
fuelectenerg-3144	99	4	tsai	tsai	PROPN
fuelectenerg-3144	99	5	,	,	PUNCT
fuelectenerg-3144	99	6	m.	m.	PROPN
fuelectenerg-3144	99	7	perkowski	perkowski	PROPN
fuelectenerg-3144	99	8	a	a	DET
fuelectenerg-3144	99	9	quantum	quantum	ADJ
fuelectenerg-3144	99	10	algorithm	algorithm	NOUN
fuelectenerg-3144	99	11	for	for	ADP
fuelectenerg-3144	99	12	automata	automata	NOUN
fuelectenerg-3144	99	13	encoding	encode	VERB
fuelectenerg-3144	99	14	171	171	NUM
fuelectenerg-3144	99	15	well	well	ADV
fuelectenerg-3144	99	16	-	-	PUNCT
fuelectenerg-3144	99	17	known	know	VERB
fuelectenerg-3144	99	18	search	search	NOUN
fuelectenerg-3144	99	19	algorithm	algorithm	NOUN
fuelectenerg-3144	99	20	[	[	X
fuelectenerg-3144	99	21	2	2	NUM
fuelectenerg-3144	99	22	,	,	PUNCT
fuelectenerg-3144	99	23	3	3	NUM
fuelectenerg-3144	99	24	,	,	PUNCT
fuelectenerg-3144	99	25	4	4	NUM
fuelectenerg-3144	99	26	]	]	PUNCT
fuelectenerg-3144	99	27	provides	provide	VERB
fuelectenerg-3144	99	28	a	a	DET
fuelectenerg-3144	99	29	commonly	commonly	ADV
fuelectenerg-3144	99	30	cited	cite	VERB
fuelectenerg-3144	99	31	example	example	NOUN
fuelectenerg-3144	99	32	of	of	ADP
fuelectenerg-3144	99	33	such	such	DET
fuelectenerg-3144	99	34	a	a	DET
fuelectenerg-3144	99	35	class	class	NOUN
fuelectenerg-3144	99	36	of	of	ADP
fuelectenerg-3144	99	37	problems	problem	NOUN
fuelectenerg-3144	99	38	.	.	PUNCT
fuelectenerg-3144	100	1	however	however	ADV
fuelectenerg-3144	100	2	,	,	PUNCT
fuelectenerg-3144	100	3	despite	despite	SCONJ
fuelectenerg-3144	100	4	the	the	DET
fuelectenerg-3144	100	5	theoretical	theoretical	ADJ
fuelectenerg-3144	100	6	capabilities	capability	NOUN
fuelectenerg-3144	100	7	of	of	ADP
fuelectenerg-3144	100	8	quantum	quantum	NOUN
fuelectenerg-3144	100	9	computing	computing	NOUN
fuelectenerg-3144	100	10	,	,	PUNCT
fuelectenerg-3144	100	11	virtually	virtually	ADV
fuelectenerg-3144	100	12	no	no	DET
fuelectenerg-3144	100	13	work	work	NOUN
fuelectenerg-3144	100	14	has	have	AUX
fuelectenerg-3144	100	15	been	be	AUX
fuelectenerg-3144	100	16	published	publish	VERB
fuelectenerg-3144	100	17	that	that	PRON
fuelectenerg-3144	100	18	demonstrates	demonstrate	VERB
fuelectenerg-3144	100	19	a	a	DET
fuelectenerg-3144	100	20	specific	specific	ADJ
fuelectenerg-3144	100	21	,	,	PUNCT
fuelectenerg-3144	100	22	concrete	concrete	ADJ
fuelectenerg-3144	100	23	example	example	NOUN
fuelectenerg-3144	100	24	of	of	ADP
fuelectenerg-3144	100	25	grover	grover	PROPN
fuelectenerg-3144	100	26	’s	’s	PART
fuelectenerg-3144	100	27	algorithm	algorithm	NOUN
fuelectenerg-3144	100	28	(	(	PUNCT
fuelectenerg-3144	100	29	or	or	CCONJ
fuelectenerg-3144	100	30	another	another	DET
fuelectenerg-3144	100	31	quantum	quantum	ADJ
fuelectenerg-3144	100	32	algorithm	algorithm	NOUN
fuelectenerg-3144	100	33	)	)	PUNCT
fuelectenerg-3144	100	34	applied	apply	VERB
fuelectenerg-3144	100	35	to	to	PART
fuelectenerg-3144	100	36	solve	solve	VERB
fuelectenerg-3144	100	37	a	a	DET
fuelectenerg-3144	100	38	problem	problem	NOUN
fuelectenerg-3144	100	39	of	of	ADP
fuelectenerg-3144	100	40	practical	practical	ADJ
fuelectenerg-3144	100	41	interest	interest	NOUN
fuelectenerg-3144	100	42	.	.	PUNCT
fuelectenerg-3144	101	1	this	this	DET
fuelectenerg-3144	101	2	gap	gap	NOUN
fuelectenerg-3144	101	3	in	in	ADP
fuelectenerg-3144	101	4	the	the	DET
fuelectenerg-3144	101	5	literature	literature	NOUN
fuelectenerg-3144	101	6	has	have	AUX
fuelectenerg-3144	101	7	become	become	VERB
fuelectenerg-3144	101	8	increasingly	increasingly	ADV
fuelectenerg-3144	101	9	relevant	relevant	ADJ
fuelectenerg-3144	101	10	as	as	SCONJ
fuelectenerg-3144	101	11	large	large	ADJ
fuelectenerg-3144	101	12	-	-	PUNCT
fuelectenerg-3144	101	13	scale	scale	NOUN
fuelectenerg-3144	101	14	quantum	quantum	NOUN
fuelectenerg-3144	101	15	computers	computer	NOUN
fuelectenerg-3144	101	16	move	move	VERB
fuelectenerg-3144	101	17	ever	ever	ADV
fuelectenerg-3144	101	18	closer	close	ADV
fuelectenerg-3144	101	19	to	to	PART
fuelectenerg-3144	101	20	reality.2	reality.2	VERB
fuelectenerg-3144	101	21	to	to	PART
fuelectenerg-3144	101	22	fill	fill	VERB
fuelectenerg-3144	101	23	this	this	DET
fuelectenerg-3144	101	24	gap	gap	NOUN
fuelectenerg-3144	101	25	,	,	PUNCT
fuelectenerg-3144	101	26	we	we	PRON
fuelectenerg-3144	101	27	demonstrate	demonstrate	VERB
fuelectenerg-3144	101	28	in	in	ADP
fuelectenerg-3144	101	29	this	this	DET
fuelectenerg-3144	101	30	work	work	NOUN
fuelectenerg-3144	101	31	how	how	SCONJ
fuelectenerg-3144	101	32	grover	grover	NOUN
fuelectenerg-3144	101	33	’s	’s	PART
fuelectenerg-3144	101	34	algorithm	algorithm	NOUN
fuelectenerg-3144	101	35	can	can	AUX
fuelectenerg-3144	101	36	be	be	AUX
fuelectenerg-3144	101	37	applied	apply	VERB
fuelectenerg-3144	101	38	to	to	ADP
fuelectenerg-3144	101	39	the	the	DET
fuelectenerg-3144	101	40	problem	problem	NOUN
fuelectenerg-3144	101	41	of	of	ADP
fuelectenerg-3144	101	42	state	state	NOUN
fuelectenerg-3144	101	43	encoding	encoding	NOUN
fuelectenerg-3144	101	44	for	for	ADP
fuelectenerg-3144	101	45	finite	finite	ADJ
fuelectenerg-3144	101	46	state	state	NOUN
fuelectenerg-3144	101	47	machines	machine	NOUN
fuelectenerg-3144	101	48	(	(	PUNCT
fuelectenerg-3144	101	49	fsms	fsms	PROPN
fuelectenerg-3144	101	50	)	)	PUNCT
fuelectenerg-3144	101	51	.	.	PUNCT
fuelectenerg-3144	102	1	a	a	DET
fuelectenerg-3144	102	2	well	well	ADV
fuelectenerg-3144	102	3	-	-	PUNCT
fuelectenerg-3144	102	4	known	know	VERB
fuelectenerg-3144	102	5	problem	problem	NOUN
fuelectenerg-3144	102	6	in	in	ADP
fuelectenerg-3144	102	7	digital	digital	ADJ
fuelectenerg-3144	102	8	logic	logic	NOUN
fuelectenerg-3144	102	9	design	design	NOUN
fuelectenerg-3144	102	10	,	,	PUNCT
fuelectenerg-3144	102	11	which	which	PRON
fuelectenerg-3144	102	12	has	have	AUX
fuelectenerg-3144	102	13	been	be	AUX
fuelectenerg-3144	102	14	recognized	recognize	VERB
fuelectenerg-3144	102	15	for	for	ADP
fuelectenerg-3144	102	16	over	over	ADP
fuelectenerg-3144	102	17	50	50	NUM
fuelectenerg-3144	102	18	years	year	NOUN
fuelectenerg-3144	103	1	[	[	X
fuelectenerg-3144	103	2	6	6	NUM
fuelectenerg-3144	103	3	,	,	PUNCT
fuelectenerg-3144	103	4	7	7	NUM
fuelectenerg-3144	103	5	]	]	PUNCT
fuelectenerg-3144	103	6	and	and	CCONJ
fuelectenerg-3144	103	7	today	today	NOUN
fuelectenerg-3144	103	8	remains	remain	VERB
fuelectenerg-3144	103	9	important	important	ADJ
fuelectenerg-3144	103	10	and	and	CCONJ
fuelectenerg-3144	103	11	relevant	relevant	ADJ
fuelectenerg-3144	103	12	to	to	ADP
fuelectenerg-3144	103	13	the	the	DET
fuelectenerg-3144	103	14	design	design	NOUN
fuelectenerg-3144	103	15	of	of	ADP
fuelectenerg-3144	103	16	virtually	virtually	ADV
fuelectenerg-3144	103	17	all	all	PRON
fuelectenerg-3144	103	18	very	very	ADV
fuelectenerg-3144	103	19	-	-	PUNCT
fuelectenerg-3144	103	20	large	large	ADJ
fuelectenerg-3144	103	21	-	-	PUNCT
fuelectenerg-3144	103	22	scale	scale	NOUN
fuelectenerg-3144	103	23	integrated	integrate	VERB
fuelectenerg-3144	103	24	(	(	PUNCT
fuelectenerg-3144	103	25	vlsi	vlsi	NOUN
fuelectenerg-3144	103	26	)	)	PUNCT
fuelectenerg-3144	103	27	circuits	circuit	NOUN
fuelectenerg-3144	103	28	and	and	CCONJ
fuelectenerg-3144	103	29	systems	system	NOUN
fuelectenerg-3144	103	30	including	include	VERB
fuelectenerg-3144	103	31	microprocessors	microprocessor	NOUN
fuelectenerg-3144	103	32	,	,	PUNCT
fuelectenerg-3144	103	33	state	state	NOUN
fuelectenerg-3144	103	34	encoding	encoding	NOUN
fuelectenerg-3144	103	35	(	(	PUNCT
fuelectenerg-3144	103	36	a.k.a	a.k.a	ADJ
fuelectenerg-3144	103	37	.	.	PUNCT
fuelectenerg-3144	103	38	state	state	PROPN
fuelectenerg-3144	103	39	assignment	assignment	NOUN
fuelectenerg-3144	103	40	)	)	PUNCT
fuelectenerg-3144	103	41	is	be	AUX
fuelectenerg-3144	103	42	the	the	DET
fuelectenerg-3144	103	43	assignment	assignment	NOUN
fuelectenerg-3144	103	44	of	of	ADP
fuelectenerg-3144	103	45	binary	binary	ADJ
fuelectenerg-3144	103	46	states	state	NOUN
fuelectenerg-3144	103	47	in	in	ADP
fuelectenerg-3144	103	48	a	a	DET
fuelectenerg-3144	103	49	digital	digital	ADJ
fuelectenerg-3144	103	50	logic	logic	NOUN
fuelectenerg-3144	103	51	circuit	circuit	NOUN
fuelectenerg-3144	103	52	to	to	PART
fuelectenerg-3144	103	53	represent	represent	VERB
fuelectenerg-3144	103	54	the	the	DET
fuelectenerg-3144	103	55	internal	internal	ADJ
fuelectenerg-3144	103	56	states	state	NOUN
fuelectenerg-3144	103	57	of	of	ADP
fuelectenerg-3144	103	58	an	an	DET
fuelectenerg-3144	103	59	fsm	fsm	PROPN
fuelectenerg-3144	103	60	.	.	PUNCT
fuelectenerg-3144	104	1	distinct	distinct	ADJ
fuelectenerg-3144	104	2	encodings	encoding	NOUN
fuelectenerg-3144	104	3	for	for	ADP
fuelectenerg-3144	104	4	the	the	DET
fuelectenerg-3144	104	5	same	same	ADJ
fuelectenerg-3144	104	6	fsm	fsm	PROPN
fuelectenerg-3144	104	7	produce	produce	VERB
fuelectenerg-3144	104	8	distinct	distinct	ADJ
fuelectenerg-3144	104	9	implementations	implementation	NOUN
fuelectenerg-3144	104	10	in	in	ADP
fuelectenerg-3144	104	11	digital	digital	ADJ
fuelectenerg-3144	104	12	logic	logic	NOUN
fuelectenerg-3144	104	13	,	,	PUNCT
fuelectenerg-3144	104	14	which	which	PRON
fuelectenerg-3144	104	15	may	may	AUX
fuelectenerg-3144	104	16	differ	differ	VERB
fuelectenerg-3144	104	17	considerably	considerably	ADV
fuelectenerg-3144	104	18	in	in	ADP
fuelectenerg-3144	104	19	complexity	complexity	NOUN
fuelectenerg-3144	104	20	[	[	X
fuelectenerg-3144	104	21	6	6	NUM
fuelectenerg-3144	104	22	]	]	PUNCT
fuelectenerg-3144	104	23	.	.	PUNCT
fuelectenerg-3144	105	1	usually	usually	ADV
fuelectenerg-3144	105	2	,	,	PUNCT
fuelectenerg-3144	105	3	one	one	PRON
fuelectenerg-3144	105	4	wishes	wish	VERB
fuelectenerg-3144	105	5	to	to	PART
fuelectenerg-3144	105	6	find	find	VERB
fuelectenerg-3144	105	7	a	a	DET
fuelectenerg-3144	105	8	state	state	NOUN
fuelectenerg-3144	105	9	encoding	encoding	NOUN
fuelectenerg-3144	105	10	which	which	PRON
fuelectenerg-3144	105	11	is	be	AUX
fuelectenerg-3144	105	12	minimal	minimal	ADJ
fuelectenerg-3144	105	13	with	with	ADP
fuelectenerg-3144	105	14	respect	respect	NOUN
fuelectenerg-3144	105	15	to	to	ADP
fuelectenerg-3144	105	16	some	some	DET
fuelectenerg-3144	105	17	metric	metric	ADJ
fuelectenerg-3144	105	18	,	,	PUNCT
fuelectenerg-3144	105	19	e.g.	e.g.	ADV
fuelectenerg-3144	105	20	,	,	PUNCT
fuelectenerg-3144	105	21	power	power	NOUN
fuelectenerg-3144	105	22	[	[	X
fuelectenerg-3144	105	23	8	8	NUM
fuelectenerg-3144	105	24	,	,	PUNCT
fuelectenerg-3144	105	25	9	9	NUM
fuelectenerg-3144	105	26	]	]	PUNCT
fuelectenerg-3144	105	27	or	or	CCONJ
fuelectenerg-3144	105	28	silicon	silicon	NOUN
fuelectenerg-3144	105	29	area	area	NOUN
fuelectenerg-3144	105	30	[	[	X
fuelectenerg-3144	105	31	10	10	NUM
fuelectenerg-3144	105	32	,	,	PUNCT
fuelectenerg-3144	105	33	11	11	NUM
fuelectenerg-3144	105	34	]	]	PUNCT
fuelectenerg-3144	105	35	of	of	ADP
fuelectenerg-3144	105	36	the	the	DET
fuelectenerg-3144	105	37	resulting	result	VERB
fuelectenerg-3144	105	38	digital	digital	ADJ
fuelectenerg-3144	105	39	circuit	circuit	NOUN
fuelectenerg-3144	105	40	.	.	PUNCT
fuelectenerg-3144	106	1	our	our	PRON
fuelectenerg-3144	106	2	goal	goal	NOUN
fuelectenerg-3144	106	3	is	be	AUX
fuelectenerg-3144	106	4	to	to	PART
fuelectenerg-3144	106	5	find	find	VERB
fuelectenerg-3144	106	6	the	the	DET
fuelectenerg-3144	106	7	exact	exact	ADJ
fuelectenerg-3144	106	8	minimum	minimum	NOUN
fuelectenerg-3144	106	9	(	(	PUNCT
fuelectenerg-3144	106	10	with	with	ADP
fuelectenerg-3144	106	11	respect	respect	NOUN
fuelectenerg-3144	106	12	to	to	ADP
fuelectenerg-3144	106	13	one	one	NUM
fuelectenerg-3144	106	14	particular	particular	ADJ
fuelectenerg-3144	106	15	metric	metric	ADJ
fuelectenerg-3144	106	16	)	)	PUNCT
fuelectenerg-3144	106	17	solution	solution	NOUN
fuelectenerg-3144	106	18	for	for	ADP
fuelectenerg-3144	106	19	state	state	NOUN
fuelectenerg-3144	106	20	and	and	CCONJ
fuelectenerg-3144	106	21	input	input	NOUN
fuelectenerg-3144	106	22	encoding	encoding	NOUN
fuelectenerg-3144	106	23	of	of	ADP
fuelectenerg-3144	106	24	finite	finite	ADJ
fuelectenerg-3144	106	25	state	state	NOUN
fuelectenerg-3144	106	26	machines	machine	NOUN
fuelectenerg-3144	106	27	.	.	PUNCT
fuelectenerg-3144	107	1	so	so	ADV
fuelectenerg-3144	107	2	far	far	ADV
fuelectenerg-3144	107	3	,	,	PUNCT
fuelectenerg-3144	107	4	only	only	ADV
fuelectenerg-3144	107	5	one	one	NUM
fuelectenerg-3144	107	6	previous	previous	ADJ
fuelectenerg-3144	107	7	work	work	NOUN
fuelectenerg-3144	107	8	[	[	X
fuelectenerg-3144	107	9	12	12	NUM
fuelectenerg-3144	107	10	]	]	PUNCT
fuelectenerg-3144	107	11	has	have	AUX
fuelectenerg-3144	107	12	attempted	attempt	VERB
fuelectenerg-3144	107	13	to	to	PART
fuelectenerg-3144	107	14	find	find	VERB
fuelectenerg-3144	107	15	exact	exact	ADJ
fuelectenerg-3144	107	16	minimum	minimum	ADJ
fuelectenerg-3144	107	17	solutions	solution	NOUN
fuelectenerg-3144	107	18	to	to	ADP
fuelectenerg-3144	107	19	this	this	DET
fuelectenerg-3144	107	20	problem	problem	NOUN
fuelectenerg-3144	107	21	.	.	PUNCT
fuelectenerg-3144	108	1	furthermore	furthermore	ADV
fuelectenerg-3144	108	2	,	,	PUNCT
fuelectenerg-3144	108	3	the	the	DET
fuelectenerg-3144	108	4	methods	method	NOUN
fuelectenerg-3144	108	5	in	in	ADP
fuelectenerg-3144	108	6	[	[	X
fuelectenerg-3144	108	7	12	12	NUM
fuelectenerg-3144	108	8	]	]	PUNCT
fuelectenerg-3144	108	9	find	find	VERB
fuelectenerg-3144	108	10	solutions	solution	NOUN
fuelectenerg-3144	108	11	for	for	ADP
fuelectenerg-3144	108	12	only	only	ADJ
fuelectenerg-3144	108	13	state	state	NOUN
fuelectenerg-3144	108	14	and	and	CCONJ
fuelectenerg-3144	108	15	not	not	PART
fuelectenerg-3144	108	16	input	input	NOUN
fuelectenerg-3144	108	17	encoding	encoding	NOUN
fuelectenerg-3144	108	18	.	.	PUNCT
fuelectenerg-3144	109	1	there	there	PRON
fuelectenerg-3144	109	2	is	be	VERB
fuelectenerg-3144	109	3	currently	currently	ADV
fuelectenerg-3144	109	4	no	no	DET
fuelectenerg-3144	109	5	published	publish	VERB
fuelectenerg-3144	109	6	result	result	NOUN
fuelectenerg-3144	109	7	that	that	PRON
fuelectenerg-3144	109	8	finds	find	VERB
fuelectenerg-3144	109	9	the	the	DET
fuelectenerg-3144	109	10	exact	exact	ADJ
fuelectenerg-3144	109	11	minimum	minimum	ADJ
fuelectenerg-3144	109	12	solution	solution	NOUN
fuelectenerg-3144	109	13	for	for	ADP
fuelectenerg-3144	109	14	concurrent	concurrent	ADJ
fuelectenerg-3144	109	15	state	state	NOUN
fuelectenerg-3144	109	16	and	and	CCONJ
fuelectenerg-3144	109	17	input	input	NOUN
fuelectenerg-3144	109	18	assignment	assignment	NOUN
fuelectenerg-3144	109	19	.	.	PUNCT
fuelectenerg-3144	110	1	the	the	DET
fuelectenerg-3144	110	2	methods	method	NOUN
fuelectenerg-3144	110	3	in	in	ADP
fuelectenerg-3144	110	4	[	[	X
fuelectenerg-3144	110	5	12	12	NUM
fuelectenerg-3144	110	6	]	]	PUNCT
fuelectenerg-3144	110	7	rely	rely	NOUN
fuelectenerg-3144	110	8	on	on	ADP
fuelectenerg-3144	110	9	finding	find	VERB
fuelectenerg-3144	110	10	prime	prime	ADJ
fuelectenerg-3144	110	11	implicants	implicant	NOUN
fuelectenerg-3144	110	12	and	and	CCONJ
fuelectenerg-3144	110	13	solving	solve	VERB
fuelectenerg-3144	110	14	a	a	DET
fuelectenerg-3144	110	15	covering	covering	NOUN
fuelectenerg-3144	110	16	problem	problem	NOUN
fuelectenerg-3144	110	17	on	on	ADP
fuelectenerg-3144	110	18	the	the	DET
fuelectenerg-3144	110	19	set	set	NOUN
fuelectenerg-3144	110	20	of	of	ADP
fuelectenerg-3144	110	21	all	all	DET
fuelectenerg-3144	110	22	prime	prime	ADJ
fuelectenerg-3144	110	23	implicants	implicant	NOUN
fuelectenerg-3144	110	24	.	.	PUNCT
fuelectenerg-3144	111	1	this	this	PRON
fuelectenerg-3144	111	2	would	would	AUX
fuelectenerg-3144	111	3	be	be	AUX
fuelectenerg-3144	111	4	difficult	difficult	ADJ
fuelectenerg-3144	111	5	to	to	PART
fuelectenerg-3144	111	6	implement	implement	VERB
fuelectenerg-3144	111	7	using	use	VERB
fuelectenerg-3144	111	8	grover	grover	NOUN
fuelectenerg-3144	111	9	’s	’s	PART
fuelectenerg-3144	111	10	algorithm	algorithm	NOUN
fuelectenerg-3144	111	11	on	on	ADP
fuelectenerg-3144	111	12	a	a	DET
fuelectenerg-3144	111	13	quantum	quantum	ADJ
fuelectenerg-3144	111	14	computer	computer	NOUN
fuelectenerg-3144	111	15	because	because	SCONJ
fuelectenerg-3144	111	16	at	at	ADV
fuelectenerg-3144	111	17	least	least	ADV
fuelectenerg-3144	111	18	one	one	NUM
fuelectenerg-3144	111	19	qubit	qubit	NOUN
fuelectenerg-3144	111	20	would	would	AUX
fuelectenerg-3144	111	21	be	be	AUX
fuelectenerg-3144	111	22	required	require	VERB
fuelectenerg-3144	111	23	for	for	ADP
fuelectenerg-3144	111	24	each	each	DET
fuelectenerg-3144	111	25	prime	prime	ADJ
fuelectenerg-3144	111	26	implicant	implicant	NOUN
fuelectenerg-3144	111	27	and	and	CCONJ
fuelectenerg-3144	111	28	the	the	DET
fuelectenerg-3144	111	29	total	total	ADJ
fuelectenerg-3144	111	30	number	number	NOUN
fuelectenerg-3144	111	31	of	of	ADP
fuelectenerg-3144	111	32	prime	prime	ADJ
fuelectenerg-3144	111	33	implicants	implicant	NOUN
fuelectenerg-3144	111	34	can	can	AUX
fuelectenerg-3144	111	35	be	be	AUX
fuelectenerg-3144	111	36	extremely	extremely	ADV
fuelectenerg-3144	111	37	large	large	ADJ
fuelectenerg-3144	111	38	.	.	PUNCT
fuelectenerg-3144	112	1	therefore	therefore	ADV
fuelectenerg-3144	112	2	,	,	PUNCT
fuelectenerg-3144	112	3	we	we	PRON
fuelectenerg-3144	112	4	do	do	AUX
fuelectenerg-3144	112	5	not	not	PART
fuelectenerg-3144	112	6	attempt	attempt	VERB
fuelectenerg-3144	112	7	to	to	PART
fuelectenerg-3144	112	8	directly	directly	ADV
fuelectenerg-3144	112	9	adapt	adapt	VERB
fuelectenerg-3144	112	10	the	the	DET
fuelectenerg-3144	112	11	approach	approach	NOUN
fuelectenerg-3144	112	12	presented	present	VERB
fuelectenerg-3144	112	13	in	in	ADP
fuelectenerg-3144	112	14	[	[	X
fuelectenerg-3144	112	15	12	12	NUM
fuelectenerg-3144	112	16	]	]	PUNCT
fuelectenerg-3144	112	17	for	for	ADP
fuelectenerg-3144	112	18	a	a	DET
fuelectenerg-3144	112	19	quantum	quantum	ADJ
fuelectenerg-3144	112	20	computer	computer	NOUN
fuelectenerg-3144	112	21	.	.	PUNCT
fuelectenerg-3144	113	1	instead	instead	ADV
fuelectenerg-3144	113	2	,	,	PUNCT
fuelectenerg-3144	113	3	we	we	PRON
fuelectenerg-3144	113	4	use	use	VERB
fuelectenerg-3144	113	5	a	a	DET
fuelectenerg-3144	113	6	simplified	simplified	ADJ
fuelectenerg-3144	113	7	cost	cost	NOUN
fuelectenerg-3144	113	8	metric	metric	NOUN
fuelectenerg-3144	113	9	from	from	ADP
fuelectenerg-3144	113	10	[	[	X
fuelectenerg-3144	113	11	6	6	NUM
fuelectenerg-3144	113	12	,	,	PUNCT
fuelectenerg-3144	113	13	7	7	NUM
fuelectenerg-3144	113	14	]	]	PUNCT
fuelectenerg-3144	113	15	,	,	PUNCT
fuelectenerg-3144	113	16	in	in	ADP
fuelectenerg-3144	113	17	which	which	PRON
fuelectenerg-3144	113	18	the	the	DET
fuelectenerg-3144	113	19	cost	cost	NOUN
fuelectenerg-3144	113	20	of	of	ADP
fuelectenerg-3144	113	21	an	an	DET
fuelectenerg-3144	113	22	encoding	encoding	NOUN
fuelectenerg-3144	113	23	is	be	AUX
fuelectenerg-3144	113	24	defined	define	VERB
fuelectenerg-3144	113	25	as	as	ADP
fuelectenerg-3144	113	26	the	the	DET
fuelectenerg-3144	113	27	total	total	ADJ
fuelectenerg-3144	113	28	number	number	NOUN
fuelectenerg-3144	113	29	of	of	ADP
fuelectenerg-3144	113	30	dependencies	dependency	NOUN
fuelectenerg-3144	113	31	of	of	ADP
fuelectenerg-3144	113	32	the	the	DET
fuelectenerg-3144	113	33	next	next	ADJ
fuelectenerg-3144	113	34	-	-	PUNCT
fuelectenerg-3144	113	35	state	state	NOUN
fuelectenerg-3144	113	36	functions	function	NOUN
fuelectenerg-3144	113	37	on	on	ADP
fuelectenerg-3144	113	38	current	current	ADJ
fuelectenerg-3144	113	39	state	state	NOUN
fuelectenerg-3144	113	40	and	and	CCONJ
fuelectenerg-3144	113	41	input	input	NOUN
fuelectenerg-3144	113	42	variables	variable	NOUN
fuelectenerg-3144	113	43	.	.	PUNCT
fuelectenerg-3144	114	1	the	the	DET
fuelectenerg-3144	114	2	use	use	NOUN
fuelectenerg-3144	114	3	of	of	ADP
fuelectenerg-3144	114	4	this	this	DET
fuelectenerg-3144	114	5	metric	metric	NOUN
fuelectenerg-3144	114	6	makes	make	VERB
fuelectenerg-3144	114	7	it	it	PRON
fuelectenerg-3144	114	8	easier	easy	ADJ
fuelectenerg-3144	114	9	to	to	PART
fuelectenerg-3144	114	10	construct	construct	VERB
fuelectenerg-3144	114	11	the	the	DET
fuelectenerg-3144	114	12	quantum	quantum	ADJ
fuelectenerg-3144	114	13	circuits	circuit	NOUN
fuelectenerg-3144	114	14	necessary	necessary	ADJ
fuelectenerg-3144	114	15	to	to	PART
fuelectenerg-3144	114	16	use	use	VERB
fuelectenerg-3144	114	17	grover	grover	NOUN
fuelectenerg-3144	114	18	’s	’s	PART
fuelectenerg-3144	114	19	algorithm	algorithm	NOUN
fuelectenerg-3144	114	20	to	to	PART
fuelectenerg-3144	114	21	search	search	VERB
fuelectenerg-3144	114	22	for	for	ADP
fuelectenerg-3144	114	23	encodings	encoding	NOUN
fuelectenerg-3144	114	24	.	.	PUNCT
fuelectenerg-3144	115	1	since	since	SCONJ
fuelectenerg-3144	115	2	grover	grover	PROPN
fuelectenerg-3144	115	3	’s	’s	PART
fuelectenerg-3144	115	4	algorithm	algorithm	NOUN
fuelectenerg-3144	115	5	effectively	effectively	ADV
fuelectenerg-3144	115	6	performs	perform	VERB
fuelectenerg-3144	115	7	an	an	DET
fuelectenerg-3144	115	8	exhaustive	exhaustive	ADJ
fuelectenerg-3144	115	9	search	search	NOUN
fuelectenerg-3144	115	10	,	,	PUNCT
fuelectenerg-3144	115	11	our	our	PRON
fuelectenerg-3144	115	12	method	method	NOUN
fuelectenerg-3144	115	13	is	be	AUX
fuelectenerg-3144	115	14	always	always	ADV
fuelectenerg-3144	115	15	able	able	ADJ
fuelectenerg-3144	115	16	to	to	PART
fuelectenerg-3144	115	17	find	find	VERB
fuelectenerg-3144	115	18	an	an	DET
fuelectenerg-3144	115	19	encoding	encoding	NOUN
fuelectenerg-3144	115	20	with	with	ADP
fuelectenerg-3144	115	21	exact	exact	ADJ
fuelectenerg-3144	115	22	minimum	minimum	ADJ
fuelectenerg-3144	115	23	cost	cost	NOUN
fuelectenerg-3144	115	24	.	.	PUNCT
fuelectenerg-3144	116	1	the	the	DET
fuelectenerg-3144	116	2	techniques	technique	NOUN
fuelectenerg-3144	116	3	that	that	PRON
fuelectenerg-3144	116	4	we	we	PRON
fuelectenerg-3144	116	5	use	use	VERB
fuelectenerg-3144	116	6	to	to	PART
fuelectenerg-3144	116	7	adapt	adapt	VERB
fuelectenerg-3144	116	8	grover	grover	NOUN
fuelectenerg-3144	116	9	’s	’s	PART
fuelectenerg-3144	116	10	algorithm	algorithm	NOUN
fuelectenerg-3144	116	11	for	for	ADP
fuelectenerg-3144	116	12	the	the	DET
fuelectenerg-3144	116	13	purpose	purpose	NOUN
fuelectenerg-3144	116	14	of	of	ADP
fuelectenerg-3144	116	15	encoding	encode	VERB
fuelectenerg-3144	116	16	finite	finite	ADJ
fuelectenerg-3144	116	17	state	state	NOUN
fuelectenerg-3144	116	18	machines	machine	NOUN
fuelectenerg-3144	116	19	may	may	AUX
fuelectenerg-3144	116	20	prove	prove	VERB
fuelectenerg-3144	116	21	useful	useful	ADJ
fuelectenerg-3144	116	22	for	for	ADP
fuelectenerg-3144	116	23	other	other	ADJ
fuelectenerg-3144	116	24	purposes	purpose	NOUN
fuelectenerg-3144	116	25	as	as	ADV
fuelectenerg-3144	116	26	well	well	ADV
fuelectenerg-3144	116	27	.	.	PUNCT
fuelectenerg-3144	117	1	2see	2see	NOUN
fuelectenerg-3144	117	2	above	above	ADV
fuelectenerg-3144	117	3	;	;	PUNCT
fuelectenerg-3144	117	4	see	see	VERB
fuelectenerg-3144	117	5	also	also	ADV
fuelectenerg-3144	117	6	[	[	X
fuelectenerg-3144	117	7	5	5	NUM
fuelectenerg-3144	117	8	]	]	PUNCT
fuelectenerg-3144	117	9	,	,	PUNCT
fuelectenerg-3144	117	10	abstract	abstract	ADJ
fuelectenerg-3144	117	11	:	:	PUNCT
fuelectenerg-3144	117	12	“	"	PUNCT
fuelectenerg-3144	117	13	advanced	advanced	ADJ
fuelectenerg-3144	117	14	quantum	quantum	NOUN
fuelectenerg-3144	117	15	simulation	simulation	NOUN
fuelectenerg-3144	117	16	experiments	experiment	NOUN
fuelectenerg-3144	117	17	have	have	AUX
fuelectenerg-3144	117	18	been	be	AUX
fuelectenerg-3144	117	19	shown	show	VERB
fuelectenerg-3144	117	20	with	with	ADP
fuelectenerg-3144	117	21	up	up	ADP
fuelectenerg-3144	117	22	to	to	PART
fuelectenerg-3144	117	23	nine	nine	NUM
fuelectenerg-3144	117	24	qubits	qubit	NOUN
fuelectenerg-3144	117	25	,	,	PUNCT
fuelectenerg-3144	117	26	while	while	SCONJ
fuelectenerg-3144	117	27	a	a	DET
fuelectenerg-3144	117	28	demonstration	demonstration	NOUN
fuelectenerg-3144	117	29	of	of	ADP
fuelectenerg-3144	117	30	quantum	quantum	ADJ
fuelectenerg-3144	117	31	supremacy	supremacy	NOUN
fuelectenerg-3144	117	32	with	with	ADP
fuelectenerg-3144	117	33	fifty	fifty	NUM
fuelectenerg-3144	117	34	qubits	qubit	NOUN
fuelectenerg-3144	117	35	is	be	AUX
fuelectenerg-3144	117	36	anticipated	anticipate	VERB
fuelectenerg-3144	117	37	in	in	ADP
fuelectenerg-3144	117	38	just	just	ADV
fuelectenerg-3144	117	39	a	a	DET
fuelectenerg-3144	117	40	few	few	ADJ
fuelectenerg-3144	117	41	years	year	NOUN
fuelectenerg-3144	117	42	.	.	PUNCT
fuelectenerg-3144	118	1	quantum	quantum	ADJ
fuelectenerg-3144	118	2	supremacy	supremacy	NOUN
fuelectenerg-3144	118	3	means	mean	VERB
fuelectenerg-3144	118	4	that	that	SCONJ
fuelectenerg-3144	118	5	the	the	DET
fuelectenerg-3144	118	6	quantum	quantum	ADJ
fuelectenerg-3144	118	7	system	system	NOUN
fuelectenerg-3144	118	8	can	can	AUX
fuelectenerg-3144	118	9	no	no	ADV
fuelectenerg-3144	118	10	longer	long	ADV
fuelectenerg-3144	118	11	be	be	AUX
fuelectenerg-3144	118	12	simulated	simulate	VERB
fuelectenerg-3144	118	13	by	by	ADP
fuelectenerg-3144	118	14	the	the	DET
fuelectenerg-3144	118	15	most	most	ADV
fuelectenerg-3144	118	16	powerful	powerful	ADJ
fuelectenerg-3144	118	17	classical	classical	ADJ
fuelectenerg-3144	118	18	supercomputers	supercomputer	NOUN
fuelectenerg-3144	118	19	.	.	PUNCT
fuelectenerg-3144	118	20	”	"	PUNCT
fuelectenerg-3144	119	1	2	2	NUM
fuelectenerg-3144	119	2	2	2	NUM
fuelectenerg-3144	119	3	finite	finite	NOUN
fuelectenerg-3144	119	4	state	state	NOUN
fuelectenerg-3144	119	5	machines	machine	NOUN
fuelectenerg-3144	119	6	and	and	CCONJ
fuelectenerg-3144	119	7	state	state	NOUN
fuelectenerg-3144	119	8	encodings	encoding	NOUN
fuelectenerg-3144	119	9	2.1	2.1	NUM
fuelectenerg-3144	119	10	review	review	NOUN
fuelectenerg-3144	119	11	of	of	ADP
fuelectenerg-3144	119	12	finite	finite	ADJ
fuelectenerg-3144	119	13	state	state	NOUN
fuelectenerg-3144	119	14	machines	machine	NOUN
fuelectenerg-3144	119	15	we	we	PRON
fuelectenerg-3144	119	16	assume	assume	VERB
fuelectenerg-3144	119	17	that	that	SCONJ
fuelectenerg-3144	119	18	the	the	DET
fuelectenerg-3144	119	19	reader	reader	NOUN
fuelectenerg-3144	119	20	is	be	AUX
fuelectenerg-3144	119	21	familiar	familiar	ADJ
fuelectenerg-3144	119	22	with	with	ADP
fuelectenerg-3144	119	23	the	the	DET
fuelectenerg-3144	119	24	concept	concept	NOUN
fuelectenerg-3144	119	25	of	of	ADP
fuelectenerg-3144	119	26	finite	finite	ADJ
fuelectenerg-3144	119	27	state	state	NOUN
fuelectenerg-3144	119	28	machines	machine	NOUN
fuelectenerg-3144	119	29	(	(	PUNCT
fuelectenerg-3144	119	30	fsms	fsm	NOUN
fuelectenerg-3144	119	31	)	)	PUNCT
fuelectenerg-3144	119	32	and	and	CCONJ
fuelectenerg-3144	119	33	how	how	SCONJ
fuelectenerg-3144	119	34	they	they	PRON
fuelectenerg-3144	119	35	are	be	AUX
fuelectenerg-3144	119	36	realized	realize	VERB
fuelectenerg-3144	119	37	using	use	VERB
fuelectenerg-3144	119	38	digital	digital	ADJ
fuelectenerg-3144	119	39	logic	logic	NOUN
fuelectenerg-3144	119	40	,	,	PUNCT
fuelectenerg-3144	119	41	as	as	ADV
fuelectenerg-3144	119	42	well	well	ADV
fuelectenerg-3144	119	43	as	as	ADP
fuelectenerg-3144	119	44	with	with	ADP
fuelectenerg-3144	119	45	the	the	DET
fuelectenerg-3144	119	46	state	state	NOUN
fuelectenerg-3144	119	47	encoding	encoding	NOUN
fuelectenerg-3144	119	48	(	(	PUNCT
fuelectenerg-3144	119	49	a.k.a	a.k.a	ADJ
fuelectenerg-3144	119	50	.	.	PUNCT
fuelectenerg-3144	119	51	state	state	PROPN
fuelectenerg-3144	119	52	assignment	assignment	NOUN
fuelectenerg-3144	119	53	or	or	CCONJ
fuelectenerg-3144	119	54	secondary	secondary	ADJ
fuelectenerg-3144	119	55	state	state	NOUN
fuelectenerg-3144	119	56	assignment	assignment	NOUN
fuelectenerg-3144	119	57	)	)	PUNCT
fuelectenerg-3144	119	58	problem	problem	NOUN
fuelectenerg-3144	119	59	.	.	PUNCT
fuelectenerg-3144	120	1	for	for	ADP
fuelectenerg-3144	120	2	the	the	DET
fuelectenerg-3144	120	3	sake	sake	NOUN
fuelectenerg-3144	120	4	of	of	ADP
fuelectenerg-3144	120	5	self	self	NOUN
fuelectenerg-3144	120	6	-	-	PUNCT
fuelectenerg-3144	120	7	containment	containment	NOUN
fuelectenerg-3144	120	8	we	we	PRON
fuelectenerg-3144	120	9	briefly	briefly	ADV
fuelectenerg-3144	120	10	review	review	VERB
fuelectenerg-3144	120	11	these	these	DET
fuelectenerg-3144	120	12	subjects	subject	NOUN
fuelectenerg-3144	120	13	here	here	ADV
fuelectenerg-3144	120	14	.	.	PUNCT
fuelectenerg-3144	121	1	an	an	DET
fuelectenerg-3144	121	2	fsm	fsm	PROPN
fuelectenerg-3144	121	3	consists	consist	VERB
fuelectenerg-3144	121	4	of	of	ADP
fuelectenerg-3144	121	5	a	a	DET
fuelectenerg-3144	121	6	set	set	NOUN
fuelectenerg-3144	121	7	of	of	ADP
fuelectenerg-3144	121	8	internal	internal	ADJ
fuelectenerg-3144	121	9	states	state	NOUN
fuelectenerg-3144	121	10	(	(	PUNCT
fuelectenerg-3144	121	11	call	call	VERB
fuelectenerg-3144	121	12	it	it	PRON
fuelectenerg-3144	121	13	s	s	NOUN
fuelectenerg-3144	121	14	)	)	PUNCT
fuelectenerg-3144	121	15	together	together	ADV
fuelectenerg-3144	121	16	with	with	ADP
fuelectenerg-3144	121	17	sets	set	NOUN
fuelectenerg-3144	121	18	of	of	ADP
fuelectenerg-3144	121	19	inputs	input	NOUN
fuelectenerg-3144	121	20	and	and	CCONJ
fuelectenerg-3144	121	21	outputs	output	NOUN
fuelectenerg-3144	121	22	(	(	PUNCT
fuelectenerg-3144	121	23	call	call	VERB
fuelectenerg-3144	121	24	them	they	PRON
fuelectenerg-3144	121	25	i	i	PRON
fuelectenerg-3144	121	26	and	and	CCONJ
fuelectenerg-3144	121	27	o	o	NOUN
fuelectenerg-3144	121	28	,	,	PUNCT
fuelectenerg-3144	121	29	respectively	respectively	ADV
fuelectenerg-3144	121	30	)	)	PUNCT
fuelectenerg-3144	121	31	;	;	PUNCT
fuelectenerg-3144	121	32	at	at	ADP
fuelectenerg-3144	121	33	all	all	DET
fuelectenerg-3144	121	34	times	time	NOUN
fuelectenerg-3144	121	35	,	,	PUNCT
fuelectenerg-3144	121	36	it	it	PRON
fuelectenerg-3144	121	37	maintains	maintain	VERB
fuelectenerg-3144	121	38	a	a	DET
fuelectenerg-3144	121	39	single	single	ADJ
fuelectenerg-3144	121	40	internal	internal	ADJ
fuelectenerg-3144	121	41	state	state	NOUN
fuelectenerg-3144	121	42	which	which	PRON
fuelectenerg-3144	121	43	is	be	AUX
fuelectenerg-3144	121	44	an	an	DET
fuelectenerg-3144	121	45	element	element	NOUN
fuelectenerg-3144	121	46	of	of	ADP
fuelectenerg-3144	121	47	s	s	PROPN
fuelectenerg-3144	121	48	,	,	PUNCT
fuelectenerg-3144	121	49	is	be	AUX
fuelectenerg-3144	121	50	presented	present	VERB
fuelectenerg-3144	121	51	with	with	ADP
fuelectenerg-3144	121	52	an	an	DET
fuelectenerg-3144	121	53	input	input	NOUN
fuelectenerg-3144	121	54	value	value	NOUN
fuelectenerg-3144	121	55	which	which	PRON
fuelectenerg-3144	121	56	is	be	AUX
fuelectenerg-3144	121	57	an	an	DET
fuelectenerg-3144	121	58	element	element	NOUN
fuelectenerg-3144	121	59	of	of	ADP
fuelectenerg-3144	121	60	i	i	PRON
fuelectenerg-3144	121	61	,	,	PUNCT
fuelectenerg-3144	121	62	and	and	CCONJ
fuelectenerg-3144	121	63	produces	produce	VERB
fuelectenerg-3144	121	64	an	an	DET
fuelectenerg-3144	121	65	output	output	NOUN
fuelectenerg-3144	121	66	value	value	NOUN
fuelectenerg-3144	121	67	which	which	PRON
fuelectenerg-3144	121	68	is	be	AUX
fuelectenerg-3144	121	69	an	an	DET
fuelectenerg-3144	121	70	element	element	NOUN
fuelectenerg-3144	121	71	of	of	ADP
fuelectenerg-3144	121	72	o.	o.	PROPN
fuelectenerg-3144	121	73	the	the	DET
fuelectenerg-3144	121	74	machine	machine	NOUN
fuelectenerg-3144	121	75	’s	’s	PART
fuelectenerg-3144	121	76	operation	operation	NOUN
fuelectenerg-3144	121	77	is	be	AUX
fuelectenerg-3144	121	78	idealized	idealize	VERB
fuelectenerg-3144	121	79	as	as	ADP
fuelectenerg-3144	121	80	a	a	DET
fuelectenerg-3144	121	81	discrete	discrete	ADJ
fuelectenerg-3144	121	82	-	-	PUNCT
fuelectenerg-3144	121	83	time	time	NOUN
fuelectenerg-3144	121	84	process	process	NOUN
fuelectenerg-3144	121	85	;	;	PUNCT
fuelectenerg-3144	121	86	with	with	ADP
fuelectenerg-3144	121	87	each	each	DET
fuelectenerg-3144	121	88	successive	successive	ADJ
fuelectenerg-3144	121	89	unit	unit	NOUN
fuelectenerg-3144	121	90	of	of	ADP
fuelectenerg-3144	121	91	time	time	NOUN
fuelectenerg-3144	121	92	,	,	PUNCT
fuelectenerg-3144	121	93	it	it	PRON
fuelectenerg-3144	121	94	updates	update	VERB
fuelectenerg-3144	121	95	its	its	PRON
fuelectenerg-3144	121	96	internal	internal	ADJ
fuelectenerg-3144	121	97	state	state	NOUN
fuelectenerg-3144	121	98	and	and	CCONJ
fuelectenerg-3144	121	99	output	output	NOUN
fuelectenerg-3144	121	100	in	in	ADP
fuelectenerg-3144	121	101	a	a	DET
fuelectenerg-3144	121	102	deterministic	deterministic	ADJ
fuelectenerg-3144	121	103	fashion	fashion	NOUN
fuelectenerg-3144	121	104	based	base	VERB
fuelectenerg-3144	121	105	on	on	ADP
fuelectenerg-3144	121	106	its	its	PRON
fuelectenerg-3144	121	107	current	current	ADJ
fuelectenerg-3144	121	108	internal	internal	ADJ
fuelectenerg-3144	121	109	state	state	NOUN
fuelectenerg-3144	121	110	and	and	CCONJ
fuelectenerg-3144	121	111	the	the	DET
fuelectenerg-3144	121	112	input	input	NOUN
fuelectenerg-3144	121	113	value	value	NOUN
fuelectenerg-3144	121	114	that	that	PRON
fuelectenerg-3144	121	115	is	be	AUX
fuelectenerg-3144	121	116	being	be	AUX
fuelectenerg-3144	121	117	presented	present	VERB
fuelectenerg-3144	121	118	.	.	PUNCT
fuelectenerg-3144	122	1	thus	thus	ADV
fuelectenerg-3144	122	2	,	,	PUNCT
fuelectenerg-3144	122	3	the	the	DET
fuelectenerg-3144	122	4	internal	internal	ADJ
fuelectenerg-3144	122	5	state	state	NOUN
fuelectenerg-3144	122	6	of	of	ADP
fuelectenerg-3144	122	7	the	the	DET
fuelectenerg-3144	122	8	machine	machine	NOUN
fuelectenerg-3144	122	9	at	at	ADP
fuelectenerg-3144	122	10	time	time	NOUN
fuelectenerg-3144	122	11	t+	t+	NOUN
fuelectenerg-3144	122	12	1	1	NUM
fuelectenerg-3144	122	13	is	be	AUX
fuelectenerg-3144	122	14	a	a	DET
fuelectenerg-3144	122	15	function	function	NOUN
fuelectenerg-3144	122	16	of	of	ADP
fuelectenerg-3144	122	17	the	the	DET
fuelectenerg-3144	122	18	internal	internal	ADJ
fuelectenerg-3144	122	19	state	state	NOUN
fuelectenerg-3144	122	20	at	at	ADP
fuelectenerg-3144	122	21	time	time	NOUN
fuelectenerg-3144	122	22	t	t	PROPN
fuelectenerg-3144	122	23	and	and	CCONJ
fuelectenerg-3144	122	24	the	the	DET
fuelectenerg-3144	122	25	input	input	NOUN
fuelectenerg-3144	122	26	at	at	ADP
fuelectenerg-3144	122	27	time	time	NOUN
fuelectenerg-3144	122	28	t	t	PROPN
fuelectenerg-3144	122	29	:	:	PUNCT
fuelectenerg-3144	122	30	st+1	st+1	PROPN
fuelectenerg-3144	122	31	=	=	SYM
fuelectenerg-3144	122	32	δ(st	δ(st	NOUN
fuelectenerg-3144	122	33	,	,	PUNCT
fuelectenerg-3144	122	34	it	it	PRON
fuelectenerg-3144	122	35	)	)	PUNCT
fuelectenerg-3144	122	36	,	,	PUNCT
fuelectenerg-3144	122	37	where	where	SCONJ
fuelectenerg-3144	122	38	st	st	PROPN
fuelectenerg-3144	122	39	∈	∈	PROPN
fuelectenerg-3144	122	40	s	s	PART
fuelectenerg-3144	122	41	is	be	AUX
fuelectenerg-3144	122	42	the	the	DET
fuelectenerg-3144	122	43	internal	internal	ADJ
fuelectenerg-3144	122	44	state	state	NOUN
fuelectenerg-3144	122	45	at	at	ADP
fuelectenerg-3144	122	46	time	time	NOUN
fuelectenerg-3144	122	47	t	t	PROPN
fuelectenerg-3144	122	48	,	,	PUNCT
fuelectenerg-3144	122	49	it	it	PRON
fuelectenerg-3144	122	50	∈	∈	VERB
fuelectenerg-3144	122	51	i	i	PRON
fuelectenerg-3144	122	52	is	be	AUX
fuelectenerg-3144	122	53	the	the	DET
fuelectenerg-3144	122	54	input	input	NOUN
fuelectenerg-3144	122	55	value	value	NOUN
fuelectenerg-3144	122	56	at	at	ADP
fuelectenerg-3144	122	57	time	time	NOUN
fuelectenerg-3144	122	58	t	t	PROPN
fuelectenerg-3144	122	59	,	,	PUNCT
fuelectenerg-3144	122	60	and	and	CCONJ
fuelectenerg-3144	122	61	st+1	st+1	NUM
fuelectenerg-3144	122	62	∈	∈	NOUN
fuelectenerg-3144	122	63	s	s	VERB
fuelectenerg-3144	122	64	is	be	AUX
fuelectenerg-3144	122	65	the	the	DET
fuelectenerg-3144	122	66	internal	internal	ADJ
fuelectenerg-3144	122	67	state	state	NOUN
fuelectenerg-3144	122	68	at	at	ADP
fuelectenerg-3144	122	69	time	time	NOUN
fuelectenerg-3144	122	70	t+	t+	NOUN
fuelectenerg-3144	122	71	1	1	X
fuelectenerg-3144	122	72	.	.	PUNCT
fuelectenerg-3144	123	1	we	we	PRON
fuelectenerg-3144	123	2	refer	refer	VERB
fuelectenerg-3144	123	3	to	to	ADP
fuelectenerg-3144	123	4	the	the	DET
fuelectenerg-3144	123	5	function	function	NOUN
fuelectenerg-3144	123	6	δ	δ	PROPN
fuelectenerg-3144	123	7	as	as	ADP
fuelectenerg-3144	123	8	the	the	DET
fuelectenerg-3144	123	9	transition	transition	NOUN
fuelectenerg-3144	123	10	function	function	NOUN
fuelectenerg-3144	123	11	for	for	ADP
fuelectenerg-3144	123	12	the	the	DET
fuelectenerg-3144	123	13	fsm	fsm	PROPN
fuelectenerg-3144	123	14	.	.	PUNCT
fuelectenerg-3144	124	1	this	this	DET
fuelectenerg-3144	124	2	function	function	NOUN
fuelectenerg-3144	124	3	is	be	AUX
fuelectenerg-3144	124	4	also	also	ADV
fuelectenerg-3144	124	5	commonly	commonly	ADV
fuelectenerg-3144	124	6	called	call	VERB
fuelectenerg-3144	124	7	the	the	DET
fuelectenerg-3144	124	8	excitation	excitation	NOUN
fuelectenerg-3144	124	9	function	function	NOUN
fuelectenerg-3144	124	10	or	or	CCONJ
fuelectenerg-3144	124	11	next	next	ADJ
fuelectenerg-3144	124	12	-	-	PUNCT
fuelectenerg-3144	124	13	state	state	NOUN
fuelectenerg-3144	124	14	function	function	NOUN
fuelectenerg-3144	124	15	.	.	PUNCT
fuelectenerg-3144	125	1	the	the	DET
fuelectenerg-3144	125	2	output	output	NOUN
fuelectenerg-3144	125	3	of	of	ADP
fuelectenerg-3144	125	4	an	an	DET
fuelectenerg-3144	125	5	fsm	fsm	PROPN
fuelectenerg-3144	125	6	can	can	AUX
fuelectenerg-3144	125	7	either	either	CCONJ
fuelectenerg-3144	125	8	directly	directly	ADV
fuelectenerg-3144	125	9	depend	depend	VERB
fuelectenerg-3144	125	10	on	on	ADP
fuelectenerg-3144	125	11	only	only	ADV
fuelectenerg-3144	125	12	its	its	PRON
fuelectenerg-3144	125	13	internal	internal	ADJ
fuelectenerg-3144	125	14	state	state	NOUN
fuelectenerg-3144	125	15	,	,	PUNCT
fuelectenerg-3144	125	16	or	or	CCONJ
fuelectenerg-3144	125	17	it	it	PRON
fuelectenerg-3144	125	18	can	can	AUX
fuelectenerg-3144	125	19	directly	directly	ADV
fuelectenerg-3144	125	20	depend	depend	VERB
fuelectenerg-3144	125	21	on	on	ADP
fuelectenerg-3144	125	22	both	both	CCONJ
fuelectenerg-3144	125	23	the	the	DET
fuelectenerg-3144	125	24	internal	internal	ADJ
fuelectenerg-3144	125	25	state	state	NOUN
fuelectenerg-3144	125	26	and	and	CCONJ
fuelectenerg-3144	125	27	the	the	DET
fuelectenerg-3144	125	28	input	input	NOUN
fuelectenerg-3144	125	29	.	.	PUNCT
fuelectenerg-3144	126	1	the	the	DET
fuelectenerg-3144	126	2	former	former	ADJ
fuelectenerg-3144	126	3	scenario	scenario	NOUN
fuelectenerg-3144	126	4	corresponds	correspond	VERB
fuelectenerg-3144	126	5	to	to	ADP
fuelectenerg-3144	126	6	a	a	DET
fuelectenerg-3144	126	7	so	so	ADV
fuelectenerg-3144	126	8	-	-	PUNCT
fuelectenerg-3144	126	9	called	call	VERB
fuelectenerg-3144	126	10	moore	moore	PROPN
fuelectenerg-3144	126	11	machine	machine	NOUN
fuelectenerg-3144	127	1	[	[	X
fuelectenerg-3144	127	2	13	13	NUM
fuelectenerg-3144	127	3	,	,	PUNCT
fuelectenerg-3144	127	4	14	14	NUM
fuelectenerg-3144	127	5	]	]	PUNCT
fuelectenerg-3144	127	6	whereas	whereas	SCONJ
fuelectenerg-3144	127	7	the	the	DET
fuelectenerg-3144	127	8	latter	latter	ADJ
fuelectenerg-3144	127	9	corresponds	correspond	VERB
fuelectenerg-3144	127	10	to	to	ADP
fuelectenerg-3144	127	11	a	a	DET
fuelectenerg-3144	127	12	so	so	ADV
fuelectenerg-3144	127	13	-	-	PUNCT
fuelectenerg-3144	127	14	called	call	VERB
fuelectenerg-3144	127	15	mealy	mealy	ADJ
fuelectenerg-3144	127	16	machine	machine	NOUN
fuelectenerg-3144	128	1	[	[	X
fuelectenerg-3144	128	2	15	15	NUM
fuelectenerg-3144	128	3	,	,	PUNCT
fuelectenerg-3144	128	4	14	14	NUM
fuelectenerg-3144	128	5	]	]	PUNCT
fuelectenerg-3144	128	6	.	.	PUNCT
fuelectenerg-3144	129	1	here	here	ADV
fuelectenerg-3144	129	2	,	,	PUNCT
fuelectenerg-3144	129	3	as	as	SCONJ
fuelectenerg-3144	129	4	will	will	AUX
fuelectenerg-3144	129	5	be	be	AUX
fuelectenerg-3144	129	6	discussed	discuss	VERB
fuelectenerg-3144	129	7	in	in	ADP
fuelectenerg-3144	129	8	more	more	ADJ
fuelectenerg-3144	129	9	detail	detail	NOUN
fuelectenerg-3144	129	10	below	below	ADV
fuelectenerg-3144	129	11	,	,	PUNCT
fuelectenerg-3144	129	12	we	we	PRON
fuelectenerg-3144	129	13	only	only	ADV
fuelectenerg-3144	129	14	consider	consider	VERB
fuelectenerg-3144	129	15	the	the	DET
fuelectenerg-3144	129	16	problem	problem	NOUN
fuelectenerg-3144	129	17	of	of	ADP
fuelectenerg-3144	129	18	encoding	encode	VERB
fuelectenerg-3144	129	19	internal	internal	ADJ
fuelectenerg-3144	129	20	states	state	NOUN
fuelectenerg-3144	129	21	;	;	PUNCT
fuelectenerg-3144	129	22	thus	thus	ADV
fuelectenerg-3144	129	23	,	,	PUNCT
fuelectenerg-3144	129	24	the	the	DET
fuelectenerg-3144	129	25	type	type	NOUN
fuelectenerg-3144	129	26	of	of	ADP
fuelectenerg-3144	129	27	the	the	DET
fuelectenerg-3144	129	28	machine	machine	NOUN
fuelectenerg-3144	129	29	is	be	AUX
fuelectenerg-3144	129	30	irrelevant	irrelevant	ADJ
fuelectenerg-3144	129	31	and	and	CCONJ
fuelectenerg-3144	129	32	our	our	PRON
fuelectenerg-3144	129	33	work	work	NOUN
fuelectenerg-3144	129	34	is	be	AUX
fuelectenerg-3144	129	35	equally	equally	ADV
fuelectenerg-3144	129	36	applicable	applicable	ADJ
fuelectenerg-3144	129	37	to	to	ADP
fuelectenerg-3144	129	38	both	both	PRON
fuelectenerg-3144	129	39	.	.	PUNCT
fuelectenerg-3144	130	1	from	from	ADP
fuelectenerg-3144	130	2	now	now	ADV
fuelectenerg-3144	130	3	on	on	ADV
fuelectenerg-3144	130	4	,	,	PUNCT
fuelectenerg-3144	130	5	for	for	ADP
fuelectenerg-3144	130	6	the	the	DET
fuelectenerg-3144	130	7	sake	sake	NOUN
fuelectenerg-3144	130	8	of	of	ADP
fuelectenerg-3144	130	9	brevity	brevity	NOUN
fuelectenerg-3144	130	10	,	,	PUNCT
fuelectenerg-3144	130	11	we	we	PRON
fuelectenerg-3144	130	12	will	will	AUX
fuelectenerg-3144	130	13	simply	simply	ADV
fuelectenerg-3144	130	14	use	use	VERB
fuelectenerg-3144	130	15	“	"	PUNCT
fuelectenerg-3144	130	16	states	state	NOUN
fuelectenerg-3144	130	17	”	"	PUNCT
fuelectenerg-3144	130	18	to	to	PART
fuelectenerg-3144	130	19	refer	refer	VERB
fuelectenerg-3144	130	20	to	to	ADP
fuelectenerg-3144	130	21	the	the	DET
fuelectenerg-3144	130	22	internal	internal	ADJ
fuelectenerg-3144	130	23	states	state	NOUN
fuelectenerg-3144	130	24	of	of	ADP
fuelectenerg-3144	130	25	an	an	DET
fuelectenerg-3144	130	26	fsm	fsm	PROPN
fuelectenerg-3144	130	27	.	.	PUNCT
fuelectenerg-3144	131	1	the	the	DET
fuelectenerg-3144	131	2	phrase	phrase	NOUN
fuelectenerg-3144	131	3	“	"	PUNCT
fuelectenerg-3144	131	4	internal	internal	ADJ
fuelectenerg-3144	131	5	states	state	NOUN
fuelectenerg-3144	131	6	”	"	PUNCT
fuelectenerg-3144	131	7	avoids	avoid	VERB
fuelectenerg-3144	131	8	confusion	confusion	NOUN
fuelectenerg-3144	131	9	with	with	ADP
fuelectenerg-3144	131	10	other	other	ADJ
fuelectenerg-3144	131	11	objects	object	NOUN
fuelectenerg-3144	131	12	also	also	ADV
fuelectenerg-3144	131	13	referred	refer	VERB
fuelectenerg-3144	131	14	to	to	ADP
fuelectenerg-3144	131	15	as	as	ADP
fuelectenerg-3144	131	16	“	"	PUNCT
fuelectenerg-3144	131	17	states	state	NOUN
fuelectenerg-3144	131	18	”	"	PUNCT
fuelectenerg-3144	131	19	,	,	PUNCT
fuelectenerg-3144	131	20	in	in	ADP
fuelectenerg-3144	131	21	particular	particular	ADJ
fuelectenerg-3144	131	22	the	the	DET
fuelectenerg-3144	131	23	input	input	NOUN
fuelectenerg-3144	131	24	and	and	CCONJ
fuelectenerg-3144	131	25	output	output	NOUN
fuelectenerg-3144	131	26	values	value	NOUN
fuelectenerg-3144	131	27	which	which	PRON
fuelectenerg-3144	131	28	are	be	AUX
fuelectenerg-3144	131	29	sometimes	sometimes	ADV
fuelectenerg-3144	131	30	called	call	VERB
fuelectenerg-3144	131	31	input	input	NOUN
fuelectenerg-3144	131	32	and	and	CCONJ
fuelectenerg-3144	131	33	output	output	NOUN
fuelectenerg-3144	131	34	states	state	NOUN
fuelectenerg-3144	131	35	,	,	PUNCT
fuelectenerg-3144	131	36	respectively	respectively	ADV
fuelectenerg-3144	131	37	.	.	PUNCT
fuelectenerg-3144	132	1	we	we	PRON
fuelectenerg-3144	132	2	will	will	AUX
fuelectenerg-3144	132	3	always	always	ADV
fuelectenerg-3144	132	4	use	use	VERB
fuelectenerg-3144	132	5	the	the	DET
fuelectenerg-3144	132	6	phrases	phrase	NOUN
fuelectenerg-3144	132	7	“	"	PUNCT
fuelectenerg-3144	132	8	input	input	NOUN
fuelectenerg-3144	132	9	(	(	PUNCT
fuelectenerg-3144	132	10	output	output	NOUN
fuelectenerg-3144	132	11	)	)	PUNCT
fuelectenerg-3144	132	12	”	"	PUNCT
fuelectenerg-3144	132	13	or	or	CCONJ
fuelectenerg-3144	132	14	“	"	PUNCT
fuelectenerg-3144	132	15	input	input	NOUN
fuelectenerg-3144	132	16	(	(	PUNCT
fuelectenerg-3144	132	17	output	output	NOUN
fuelectenerg-3144	132	18	)	)	PUNCT
fuelectenerg-3144	132	19	values	value	NOUN
fuelectenerg-3144	132	20	”	"	PUNCT
fuelectenerg-3144	132	21	here	here	ADV
fuelectenerg-3144	132	22	,	,	PUNCT
fuelectenerg-3144	132	23	so	so	SCONJ
fuelectenerg-3144	132	24	that	that	SCONJ
fuelectenerg-3144	132	25	there	there	PRON
fuelectenerg-3144	132	26	is	be	VERB
fuelectenerg-3144	132	27	no	no	DET
fuelectenerg-3144	132	28	risk	risk	NOUN
fuelectenerg-3144	132	29	of	of	ADP
fuelectenerg-3144	132	30	confusion	confusion	NOUN
fuelectenerg-3144	132	31	in	in	ADP
fuelectenerg-3144	132	32	using	use	VERB
fuelectenerg-3144	132	33	simply	simply	ADV
fuelectenerg-3144	132	34	“	"	PUNCT
fuelectenerg-3144	132	35	states	state	NOUN
fuelectenerg-3144	132	36	”	"	PUNCT
fuelectenerg-3144	132	37	to	to	PART
fuelectenerg-3144	132	38	refer	refer	VERB
fuelectenerg-3144	132	39	to	to	ADP
fuelectenerg-3144	132	40	internal	internal	ADJ
fuelectenerg-3144	132	41	states	state	NOUN
fuelectenerg-3144	132	42	.	.	PUNCT
fuelectenerg-3144	133	1	fsms	fsm	NOUN
fuelectenerg-3144	133	2	are	be	AUX
fuelectenerg-3144	133	3	commonly	commonly	ADV
fuelectenerg-3144	133	4	implemented	implement	VERB
fuelectenerg-3144	133	5	using	use	VERB
fuelectenerg-3144	133	6	digital	digital	ADJ
fuelectenerg-3144	133	7	logic	logic	NOUN
fuelectenerg-3144	133	8	circuits	circuit	NOUN
fuelectenerg-3144	133	9	consisting	consist	VERB
fuelectenerg-3144	133	10	of	of	ADP
fuelectenerg-3144	133	11	an	an	DET
fuelectenerg-3144	133	12	array	array	NOUN
fuelectenerg-3144	133	13	of	of	ADP
fuelectenerg-3144	133	14	flip	flip	NOUN
fuelectenerg-3144	133	15	-	-	PUNCT
fuelectenerg-3144	133	16	flops	flop	NOUN
fuelectenerg-3144	133	17	,	,	PUNCT
fuelectenerg-3144	133	18	which	which	PRON
fuelectenerg-3144	133	19	stores	store	VERB
fuelectenerg-3144	133	20	the	the	DET
fuelectenerg-3144	133	21	current	current	ADJ
fuelectenerg-3144	133	22	state	state	NOUN
fuelectenerg-3144	133	23	,	,	PUNCT
fuelectenerg-3144	133	24	together	together	ADV
fuelectenerg-3144	133	25	with	with	ADP
fuelectenerg-3144	133	26	combinational	combinational	ADJ
fuelectenerg-3144	133	27	logic	logic	NOUN
fuelectenerg-3144	133	28	(	(	PUNCT
fuelectenerg-3144	133	29	often	often	ADV
fuelectenerg-3144	133	30	referred	refer	VERB
fuelectenerg-3144	133	31	to	to	ADP
fuelectenerg-3144	133	32	as	as	ADP
fuelectenerg-3144	133	33	the	the	DET
fuelectenerg-3144	133	34	next	next	ADJ
fuelectenerg-3144	133	35	-	-	PUNCT
fuelectenerg-3144	133	36	state	state	NOUN
fuelectenerg-3144	133	37	logic	logic	NOUN
fuelectenerg-3144	133	38	)	)	PUNCT
fuelectenerg-3144	133	39	,	,	PUNCT
fuelectenerg-3144	133	40	which	which	PRON
fuelectenerg-3144	133	41	computes	compute	VERB
fuelectenerg-3144	133	42	the	the	DET
fuelectenerg-3144	133	43	next	next	ADJ
fuelectenerg-3144	133	44	state	state	NOUN
fuelectenerg-3144	133	45	from	from	ADP
fuelectenerg-3144	133	46	the	the	DET
fuelectenerg-3144	133	47	current	current	ADJ
fuelectenerg-3144	133	48	state	state	NOUN
fuelectenerg-3144	133	49	and	and	CCONJ
fuelectenerg-3144	133	50	current	current	ADJ
fuelectenerg-3144	133	51	input	input	NOUN
fuelectenerg-3144	133	52	.	.	PUNCT
fuelectenerg-3144	134	1	to	to	PART
fuelectenerg-3144	134	2	design	design	VERB
fuelectenerg-3144	134	3	this	this	DET
fuelectenerg-3144	134	4	combinational	combinational	ADJ
fuelectenerg-3144	134	5	logic	logic	NOUN
fuelectenerg-3144	134	6	,	,	PUNCT
fuelectenerg-3144	134	7	one	one	PRON
fuelectenerg-3144	134	8	must	must	AUX
fuelectenerg-3144	134	9	select	select	VERB
fuelectenerg-3144	134	10	a	a	DET
fuelectenerg-3144	134	11	state	state	NOUN
fuelectenerg-3144	134	12	encoding	encoding	NOUN
fuelectenerg-3144	134	13	,	,	PUNCT
fuelectenerg-3144	134	14	a	a	DET
fuelectenerg-3144	134	15	mapping	mapping	NOUN
fuelectenerg-3144	134	16	which	which	PRON
fuelectenerg-3144	134	17	associates	associate	VERB
fuelectenerg-3144	134	18	each	each	DET
fuelectenerg-3144	134	19	state	state	NOUN
fuelectenerg-3144	134	20	of	of	ADP
fuelectenerg-3144	134	21	the	the	DET
fuelectenerg-3144	134	22	fsm	fsm	PROPN
fuelectenerg-3144	134	23	with	with	ADP
fuelectenerg-3144	134	24	a	a	DET
fuelectenerg-3144	134	25	state	state	NOUN
fuelectenerg-3144	134	26	of	of	ADP
fuelectenerg-3144	134	27	the	the	DET
fuelectenerg-3144	134	28	flip	flip	NOUN
fuelectenerg-3144	134	29	-	-	PUNCT
fuelectenerg-3144	134	30	flop	flop	NOUN
fuelectenerg-3144	134	31	array	array	NOUN
fuelectenerg-3144	134	32	.	.	PUNCT
fuelectenerg-3144	135	1	more	more	ADV
fuelectenerg-3144	135	2	precisely	precisely	ADV
fuelectenerg-3144	135	3	,	,	PUNCT
fuelectenerg-3144	135	4	since	since	SCONJ
fuelectenerg-3144	135	5	the	the	DET
fuelectenerg-3144	135	6	state	state	NOUN
fuelectenerg-3144	135	7	of	of	ADP
fuelectenerg-3144	135	8	a	a	DET
fuelectenerg-3144	135	9	flip	flip	NOUN
fuelectenerg-3144	135	10	-	-	PUNCT
fuelectenerg-3144	135	11	flop	flop	NOUN
fuelectenerg-3144	135	12	array	array	NOUN
fuelectenerg-3144	135	13	is	be	AUX
fuelectenerg-3144	135	14	simply	simply	ADV
fuelectenerg-3144	135	15	a	a	DET
fuelectenerg-3144	135	16	binary	binary	ADJ
fuelectenerg-3144	135	17	string	string	NOUN
fuelectenerg-3144	135	18	,	,	PUNCT
fuelectenerg-3144	135	19	a	a	DET
fuelectenerg-3144	135	20	state	state	NOUN
fuelectenerg-3144	135	21	encoding	encoding	NOUN
fuelectenerg-3144	135	22	is	be	AUX
fuelectenerg-3144	135	23	a	a	DET
fuelectenerg-3144	135	24	function	function	NOUN
fuelectenerg-3144	135	25	cs	cs	NOUN
fuelectenerg-3144	135	26	:	:	PUNCT
fuelectenerg-3144	135	27	s	s	X
fuelectenerg-3144	135	28	→	→	PUNCT
fuelectenerg-3144	135	29	{	{	PUNCT
fuelectenerg-3144	135	30	0	0	NUM
fuelectenerg-3144	135	31	,	,	PUNCT
fuelectenerg-3144	135	32	1}n	1}n	NUM
fuelectenerg-3144	135	33	that	that	PRON
fuelectenerg-3144	135	34	maps	map	VERB
fuelectenerg-3144	135	35	each	each	DET
fuelectenerg-3144	135	36	state	state	NOUN
fuelectenerg-3144	135	37	of	of	ADP
fuelectenerg-3144	135	38	the	the	DET
fuelectenerg-3144	135	39	fsm	fsm	PROPN
fuelectenerg-3144	135	40	to	to	ADP
fuelectenerg-3144	135	41	a	a	DET
fuelectenerg-3144	135	42	vector	vector	NOUN
fuelectenerg-3144	135	43	of	of	ADP
fuelectenerg-3144	135	44	flip	flip	NOUN
fuelectenerg-3144	135	45	-	-	PUNCT
fuelectenerg-3144	135	46	flop	flop	NOUN
fuelectenerg-3144	135	47	states	state	NOUN
fuelectenerg-3144	135	48	that	that	PRON
fuelectenerg-3144	135	49	represents	represent	VERB
fuelectenerg-3144	135	50	the	the	DET
fuelectenerg-3144	135	51	fsm	fsm	PROPN
fuelectenerg-3144	135	52	state	state	NOUN
fuelectenerg-3144	135	53	in	in	ADP
fuelectenerg-3144	135	54	a	a	DET
fuelectenerg-3144	135	55	digital	digital	ADJ
fuelectenerg-3144	135	56	logic	logic	NOUN
fuelectenerg-3144	135	57	circuit	circuit	NOUN
fuelectenerg-3144	135	58	.	.	PUNCT
fuelectenerg-3144	136	1	here	here	ADV
fuelectenerg-3144	136	2	,	,	PUNCT
fuelectenerg-3144	136	3	n	n	PRON
fuelectenerg-3144	136	4	denotes	denote	VERB
fuelectenerg-3144	136	5	the	the	DET
fuelectenerg-3144	136	6	number	number	NOUN
fuelectenerg-3144	136	7	of	of	ADP
fuelectenerg-3144	136	8	flip	flip	NOUN
fuelectenerg-3144	136	9	-	-	PUNCT
fuelectenerg-3144	136	10	flops	flop	NOUN
fuelectenerg-3144	136	11	in	in	ADP
fuelectenerg-3144	136	12	the	the	DET
fuelectenerg-3144	136	13	circuit	circuit	NOUN
fuelectenerg-3144	136	14	.	.	PUNCT
fuelectenerg-3144	137	1	3	3	NUM
fuelectenerg-3144	137	2	170	170	NUM
fuelectenerg-3144	137	3	e.	e.	PROPN
fuelectenerg-3144	137	4	tsai	tsai	PROPN
fuelectenerg-3144	137	5	,	,	PUNCT
fuelectenerg-3144	137	6	m.	m.	PROPN
fuelectenerg-3144	137	7	perkowski	perkowski	PROPN
fuelectenerg-3144	137	8	a	a	DET
fuelectenerg-3144	137	9	quantum	quantum	ADJ
fuelectenerg-3144	137	10	algorithm	algorithm	NOUN
fuelectenerg-3144	137	11	for	for	ADP
fuelectenerg-3144	137	12	automata	automata	NOUN
fuelectenerg-3144	137	13	encoding	encode	VERB
fuelectenerg-3144	137	14	171	171	NUM
fuelectenerg-3144	137	15	similarly	similarly	ADV
fuelectenerg-3144	137	16	,	,	PUNCT
fuelectenerg-3144	137	17	in	in	ADP
fuelectenerg-3144	137	18	order	order	NOUN
fuelectenerg-3144	137	19	to	to	PART
fuelectenerg-3144	137	20	implement	implement	VERB
fuelectenerg-3144	137	21	an	an	DET
fuelectenerg-3144	137	22	fsm	fsm	NOUN
fuelectenerg-3144	137	23	with	with	ADP
fuelectenerg-3144	137	24	a	a	DET
fuelectenerg-3144	137	25	digital	digital	ADJ
fuelectenerg-3144	137	26	logic	logic	NOUN
fuelectenerg-3144	137	27	circuit	circuit	NOUN
fuelectenerg-3144	137	28	,	,	PUNCT
fuelectenerg-3144	137	29	one	one	PRON
fuelectenerg-3144	137	30	must	must	AUX
fuelectenerg-3144	137	31	also	also	ADV
fuelectenerg-3144	137	32	select	select	VERB
fuelectenerg-3144	137	33	an	an	DET
fuelectenerg-3144	137	34	input	input	NOUN
fuelectenerg-3144	137	35	encoding	encoding	NOUN
fuelectenerg-3144	137	36	,	,	PUNCT
fuelectenerg-3144	137	37	which	which	PRON
fuelectenerg-3144	137	38	maps	map	VERB
fuelectenerg-3144	137	39	each	each	DET
fuelectenerg-3144	137	40	input	input	NOUN
fuelectenerg-3144	137	41	value	value	NOUN
fuelectenerg-3144	137	42	of	of	ADP
fuelectenerg-3144	137	43	the	the	DET
fuelectenerg-3144	137	44	fsm	fsm	PROPN
fuelectenerg-3144	137	45	to	to	ADP
fuelectenerg-3144	137	46	an	an	DET
fuelectenerg-3144	137	47	array	array	NOUN
fuelectenerg-3144	137	48	of	of	ADP
fuelectenerg-3144	137	49	boolean	boolean	ADJ
fuelectenerg-3144	137	50	values	value	NOUN
fuelectenerg-3144	137	51	,	,	PUNCT
fuelectenerg-3144	137	52	where	where	SCONJ
fuelectenerg-3144	137	53	each	each	DET
fuelectenerg-3144	137	54	boolean	boolean	ADJ
fuelectenerg-3144	137	55	value	value	NOUN
fuelectenerg-3144	137	56	represents	represent	VERB
fuelectenerg-3144	137	57	the	the	DET
fuelectenerg-3144	137	58	value	value	NOUN
fuelectenerg-3144	137	59	supplied	supply	VERB
fuelectenerg-3144	137	60	on	on	ADP
fuelectenerg-3144	137	61	an	an	DET
fuelectenerg-3144	137	62	input	input	ADJ
fuelectenerg-3144	137	63	wire	wire	NOUN
fuelectenerg-3144	137	64	to	to	ADP
fuelectenerg-3144	137	65	the	the	DET
fuelectenerg-3144	137	66	digital	digital	ADJ
fuelectenerg-3144	137	67	logic	logic	NOUN
fuelectenerg-3144	137	68	circuit	circuit	NOUN
fuelectenerg-3144	137	69	.	.	PUNCT
fuelectenerg-3144	138	1	in	in	ADP
fuelectenerg-3144	138	2	other	other	ADJ
fuelectenerg-3144	138	3	words	word	NOUN
fuelectenerg-3144	138	4	,	,	PUNCT
fuelectenerg-3144	138	5	an	an	DET
fuelectenerg-3144	138	6	input	input	NOUN
fuelectenerg-3144	138	7	encoding	encoding	NOUN
fuelectenerg-3144	138	8	is	be	AUX
fuelectenerg-3144	138	9	a	a	DET
fuelectenerg-3144	138	10	function	function	NOUN
fuelectenerg-3144	138	11	ci	ci	NOUN
fuelectenerg-3144	138	12	:	:	PUNCT
fuelectenerg-3144	138	13	i	i	PRON
fuelectenerg-3144	138	14	→	→	PUNCT
fuelectenerg-3144	138	15	{	{	PUNCT
fuelectenerg-3144	138	16	0	0	NUM
fuelectenerg-3144	138	17	,	,	PUNCT
fuelectenerg-3144	138	18	1}m	1}m	NUM
fuelectenerg-3144	138	19	where	where	SCONJ
fuelectenerg-3144	138	20	m	m	NOUN
fuelectenerg-3144	138	21	is	be	AUX
fuelectenerg-3144	138	22	the	the	DET
fuelectenerg-3144	138	23	number	number	NOUN
fuelectenerg-3144	138	24	of	of	ADP
fuelectenerg-3144	138	25	input	input	NOUN
fuelectenerg-3144	138	26	wires	wire	NOUN
fuelectenerg-3144	138	27	.	.	PUNCT
fuelectenerg-3144	139	1	finally	finally	ADV
fuelectenerg-3144	139	2	,	,	PUNCT
fuelectenerg-3144	139	3	in	in	ADP
fuelectenerg-3144	139	4	addition	addition	NOUN
fuelectenerg-3144	139	5	to	to	ADP
fuelectenerg-3144	139	6	the	the	DET
fuelectenerg-3144	139	7	state	state	NOUN
fuelectenerg-3144	139	8	and	and	CCONJ
fuelectenerg-3144	139	9	input	input	NOUN
fuelectenerg-3144	139	10	encoding	encoding	NOUN
fuelectenerg-3144	139	11	,	,	PUNCT
fuelectenerg-3144	139	12	one	one	PRON
fuelectenerg-3144	139	13	must	must	AUX
fuelectenerg-3144	139	14	select	select	VERB
fuelectenerg-3144	139	15	an	an	DET
fuelectenerg-3144	139	16	output	output	NOUN
fuelectenerg-3144	139	17	encoding	encode	VERB
fuelectenerg-3144	139	18	to	to	PART
fuelectenerg-3144	139	19	fully	fully	ADV
fuelectenerg-3144	139	20	implement	implement	VERB
fuelectenerg-3144	139	21	an	an	DET
fuelectenerg-3144	139	22	fsm	fsm	NOUN
fuelectenerg-3144	139	23	with	with	ADP
fuelectenerg-3144	139	24	digital	digital	ADJ
fuelectenerg-3144	139	25	logic	logic	NOUN
fuelectenerg-3144	139	26	.	.	PUNCT
fuelectenerg-3144	140	1	however	however	ADV
fuelectenerg-3144	140	2	,	,	PUNCT
fuelectenerg-3144	140	3	we	we	PRON
fuelectenerg-3144	140	4	do	do	AUX
fuelectenerg-3144	140	5	not	not	PART
fuelectenerg-3144	140	6	consider	consider	VERB
fuelectenerg-3144	140	7	the	the	DET
fuelectenerg-3144	140	8	problem	problem	NOUN
fuelectenerg-3144	140	9	of	of	ADP
fuelectenerg-3144	140	10	encoding	encode	VERB
fuelectenerg-3144	140	11	outputs	output	NOUN
fuelectenerg-3144	140	12	in	in	ADP
fuelectenerg-3144	140	13	this	this	DET
fuelectenerg-3144	140	14	paper	paper	NOUN
fuelectenerg-3144	140	15	and	and	CCONJ
fuelectenerg-3144	140	16	consequently	consequently	ADV
fuelectenerg-3144	140	17	,	,	PUNCT
fuelectenerg-3144	140	18	we	we	PRON
fuelectenerg-3144	140	19	will	will	AUX
fuelectenerg-3144	140	20	ignore	ignore	VERB
fuelectenerg-3144	140	21	the	the	DET
fuelectenerg-3144	140	22	outputs	output	NOUN
fuelectenerg-3144	140	23	of	of	ADP
fuelectenerg-3144	140	24	an	an	DET
fuelectenerg-3144	140	25	fsm	fsm	NOUN
fuelectenerg-3144	140	26	from	from	ADP
fuelectenerg-3144	140	27	now	now	ADV
fuelectenerg-3144	140	28	on	on	ADV
fuelectenerg-3144	140	29	.	.	PUNCT
fuelectenerg-3144	141	1	we	we	PRON
fuelectenerg-3144	141	2	will	will	AUX
fuelectenerg-3144	141	3	use	use	VERB
fuelectenerg-3144	141	4	“	"	PUNCT
fuelectenerg-3144	141	5	encoding	encode	VERB
fuelectenerg-3144	141	6	”	"	PUNCT
fuelectenerg-3144	141	7	without	without	ADP
fuelectenerg-3144	141	8	further	further	ADJ
fuelectenerg-3144	141	9	qualification	qualification	NOUN
fuelectenerg-3144	141	10	to	to	PART
fuelectenerg-3144	141	11	mean	mean	VERB
fuelectenerg-3144	141	12	the	the	DET
fuelectenerg-3144	141	13	combination	combination	NOUN
fuelectenerg-3144	141	14	of	of	ADP
fuelectenerg-3144	141	15	a	a	DET
fuelectenerg-3144	141	16	state	state	NOUN
fuelectenerg-3144	141	17	and	and	CCONJ
fuelectenerg-3144	141	18	input	input	NOUN
fuelectenerg-3144	141	19	encoding	encoding	NOUN
fuelectenerg-3144	141	20	.	.	PUNCT
fuelectenerg-3144	142	1	we	we	PRON
fuelectenerg-3144	142	2	may	may	AUX
fuelectenerg-3144	142	3	also	also	ADV
fuelectenerg-3144	142	4	use	use	VERB
fuelectenerg-3144	142	5	the	the	DET
fuelectenerg-3144	142	6	phrase	phrase	NOUN
fuelectenerg-3144	142	7	“	"	PUNCT
fuelectenerg-3144	142	8	encoding	encode	VERB
fuelectenerg-3144	142	9	of	of	ADP
fuelectenerg-3144	142	10	[	[	PUNCT
fuelectenerg-3144	142	11	a	a	DET
fuelectenerg-3144	142	12	state	state	NOUN
fuelectenerg-3144	142	13	or	or	CCONJ
fuelectenerg-3144	142	14	input	input	NOUN
fuelectenerg-3144	142	15	value	value	NOUN
fuelectenerg-3144	142	16	]	]	PUNCT
fuelectenerg-3144	142	17	”	"	PUNCT
fuelectenerg-3144	142	18	to	to	PART
fuelectenerg-3144	142	19	mean	mean	VERB
fuelectenerg-3144	142	20	the	the	DET
fuelectenerg-3144	142	21	combination	combination	NOUN
fuelectenerg-3144	142	22	of	of	ADP
fuelectenerg-3144	142	23	state	state	NOUN
fuelectenerg-3144	142	24	or	or	CCONJ
fuelectenerg-3144	142	25	input	input	NOUN
fuelectenerg-3144	142	26	variable	variable	ADJ
fuelectenerg-3144	142	27	values	value	NOUN
fuelectenerg-3144	142	28	corresponding	correspond	VERB
fuelectenerg-3144	142	29	to	to	ADP
fuelectenerg-3144	142	30	that	that	DET
fuelectenerg-3144	142	31	state	state	NOUN
fuelectenerg-3144	142	32	or	or	CCONJ
fuelectenerg-3144	142	33	input	input	NOUN
fuelectenerg-3144	142	34	value	value	NOUN
fuelectenerg-3144	142	35	under	under	ADP
fuelectenerg-3144	142	36	a	a	DET
fuelectenerg-3144	142	37	given	give	VERB
fuelectenerg-3144	142	38	encoding	encoding	NOUN
fuelectenerg-3144	142	39	.	.	PUNCT
fuelectenerg-3144	143	1	in	in	ADP
fuelectenerg-3144	143	2	other	other	ADJ
fuelectenerg-3144	143	3	words	word	NOUN
fuelectenerg-3144	143	4	,	,	PUNCT
fuelectenerg-3144	143	5	given	give	VERB
fuelectenerg-3144	143	6	a	a	DET
fuelectenerg-3144	143	7	state	state	NOUN
fuelectenerg-3144	143	8	encoding	encoding	NOUN
fuelectenerg-3144	143	9	as	as	ADP
fuelectenerg-3144	143	10	a	a	DET
fuelectenerg-3144	143	11	function	function	NOUN
fuelectenerg-3144	143	12	cs	cs	NOUN
fuelectenerg-3144	143	13	as	as	SCONJ
fuelectenerg-3144	143	14	described	describe	VERB
fuelectenerg-3144	143	15	above	above	ADV
fuelectenerg-3144	143	16	,	,	PUNCT
fuelectenerg-3144	143	17	the	the	DET
fuelectenerg-3144	143	18	encoding	encoding	NOUN
fuelectenerg-3144	143	19	of	of	ADP
fuelectenerg-3144	143	20	a	a	DET
fuelectenerg-3144	143	21	state	state	NOUN
fuelectenerg-3144	143	22	s	s	NOUN
fuelectenerg-3144	143	23	is	be	AUX
fuelectenerg-3144	143	24	simply	simply	ADV
fuelectenerg-3144	143	25	cs(s	cs(	NOUN
fuelectenerg-3144	143	26	)	)	PUNCT
fuelectenerg-3144	143	27	;	;	PUNCT
fuelectenerg-3144	143	28	the	the	DET
fuelectenerg-3144	143	29	situation	situation	NOUN
fuelectenerg-3144	143	30	is	be	AUX
fuelectenerg-3144	143	31	analogous	analogous	ADJ
fuelectenerg-3144	143	32	for	for	ADP
fuelectenerg-3144	143	33	inputs	input	NOUN
fuelectenerg-3144	143	34	.	.	PUNCT
fuelectenerg-3144	144	1	finally	finally	ADV
fuelectenerg-3144	144	2	,	,	PUNCT
fuelectenerg-3144	144	3	we	we	PRON
fuelectenerg-3144	144	4	also	also	ADV
fuelectenerg-3144	144	5	use	use	VERB
fuelectenerg-3144	144	6	“	"	PUNCT
fuelectenerg-3144	144	7	encoding	encode	VERB
fuelectenerg-3144	144	8	”	"	PUNCT
fuelectenerg-3144	144	9	as	as	ADP
fuelectenerg-3144	144	10	a	a	DET
fuelectenerg-3144	144	11	verb	verb	NOUN
fuelectenerg-3144	144	12	to	to	PART
fuelectenerg-3144	144	13	mean	mean	VERB
fuelectenerg-3144	144	14	the	the	DET
fuelectenerg-3144	144	15	process	process	NOUN
fuelectenerg-3144	144	16	of	of	ADP
fuelectenerg-3144	144	17	selecting	select	VERB
fuelectenerg-3144	144	18	or	or	CCONJ
fuelectenerg-3144	144	19	generating	generate	VERB
fuelectenerg-3144	144	20	an	an	DET
fuelectenerg-3144	144	21	encoding	encoding	NOUN
fuelectenerg-3144	144	22	.	.	PUNCT
fuelectenerg-3144	145	1	thus	thus	ADV
fuelectenerg-3144	145	2	,	,	PUNCT
fuelectenerg-3144	145	3	we	we	PRON
fuelectenerg-3144	145	4	describe	describe	VERB
fuelectenerg-3144	145	5	the	the	DET
fuelectenerg-3144	145	6	main	main	ADJ
fuelectenerg-3144	145	7	objective	objective	NOUN
fuelectenerg-3144	145	8	of	of	ADP
fuelectenerg-3144	145	9	this	this	DET
fuelectenerg-3144	145	10	paper	paper	NOUN
fuelectenerg-3144	145	11	as	as	ADP
fuelectenerg-3144	145	12	solving	solve	VERB
fuelectenerg-3144	145	13	an	an	DET
fuelectenerg-3144	145	14	fsm	fsm	PROPN
fuelectenerg-3144	145	15	encoding	encoding	NOUN
fuelectenerg-3144	145	16	problem	problem	NOUN
fuelectenerg-3144	145	17	.	.	PUNCT
fuelectenerg-3144	146	1	from	from	ADP
fuelectenerg-3144	146	2	now	now	ADV
fuelectenerg-3144	146	3	on	on	ADV
fuelectenerg-3144	146	4	,	,	PUNCT
fuelectenerg-3144	146	5	when	when	SCONJ
fuelectenerg-3144	146	6	considering	consider	VERB
fuelectenerg-3144	146	7	a	a	DET
fuelectenerg-3144	146	8	digital	digital	ADJ
fuelectenerg-3144	146	9	logic	logic	NOUN
fuelectenerg-3144	146	10	circuit	circuit	NOUN
fuelectenerg-3144	146	11	implementation	implementation	NOUN
fuelectenerg-3144	146	12	of	of	ADP
fuelectenerg-3144	146	13	an	an	DET
fuelectenerg-3144	146	14	fsm	fsm	PROPN
fuelectenerg-3144	146	15	,	,	PUNCT
fuelectenerg-3144	146	16	we	we	PRON
fuelectenerg-3144	146	17	will	will	AUX
fuelectenerg-3144	146	18	follow	follow	VERB
fuelectenerg-3144	146	19	the	the	DET
fuelectenerg-3144	146	20	common	common	ADJ
fuelectenerg-3144	146	21	convention	convention	NOUN
fuelectenerg-3144	146	22	of	of	ADP
fuelectenerg-3144	146	23	using	use	VERB
fuelectenerg-3144	146	24	qi	qi	PRON
fuelectenerg-3144	146	25	to	to	PART
fuelectenerg-3144	146	26	denote	denote	VERB
fuelectenerg-3144	146	27	the	the	DET
fuelectenerg-3144	146	28	state	state	NOUN
fuelectenerg-3144	146	29	of	of	ADP
fuelectenerg-3144	146	30	the	the	DET
fuelectenerg-3144	146	31	ith	ith	PROPN
fuelectenerg-3144	146	32	flip	flip	NOUN
fuelectenerg-3144	146	33	-	-	PUNCT
fuelectenerg-3144	146	34	flop	flop	NOUN
fuelectenerg-3144	146	35	at	at	ADP
fuelectenerg-3144	146	36	a	a	DET
fuelectenerg-3144	146	37	given	give	VERB
fuelectenerg-3144	146	38	point	point	NOUN
fuelectenerg-3144	146	39	in	in	ADP
fuelectenerg-3144	146	40	time	time	NOUN
fuelectenerg-3144	146	41	.	.	PUNCT
fuelectenerg-3144	147	1	we	we	PRON
fuelectenerg-3144	147	2	will	will	AUX
fuelectenerg-3144	147	3	also	also	ADV
fuelectenerg-3144	147	4	use	use	VERB
fuelectenerg-3144	147	5	xj	xj	PROPN
fuelectenerg-3144	147	6	to	to	PART
fuelectenerg-3144	147	7	represent	represent	VERB
fuelectenerg-3144	147	8	the	the	DET
fuelectenerg-3144	147	9	value	value	NOUN
fuelectenerg-3144	147	10	on	on	ADP
fuelectenerg-3144	147	11	the	the	DET
fuelectenerg-3144	147	12	jth	jth	PROPN
fuelectenerg-3144	147	13	input	input	PROPN
fuelectenerg-3144	147	14	wire	wire	NOUN
fuelectenerg-3144	147	15	at	at	ADP
fuelectenerg-3144	147	16	a	a	DET
fuelectenerg-3144	147	17	given	give	VERB
fuelectenerg-3144	147	18	point	point	NOUN
fuelectenerg-3144	147	19	in	in	ADP
fuelectenerg-3144	147	20	time	time	NOUN
fuelectenerg-3144	147	21	.	.	PUNCT
fuelectenerg-3144	148	1	we	we	PRON
fuelectenerg-3144	148	2	refer	refer	VERB
fuelectenerg-3144	148	3	to	to	ADP
fuelectenerg-3144	148	4	the	the	DET
fuelectenerg-3144	148	5	variables	variables	PROPN
fuelectenerg-3144	148	6	q1	q1	PROPN
fuelectenerg-3144	148	7	through	through	ADP
fuelectenerg-3144	148	8	qn	qn	NOUN
fuelectenerg-3144	148	9	as	as	ADP
fuelectenerg-3144	148	10	state	state	NOUN
fuelectenerg-3144	148	11	variables	variable	NOUN
fuelectenerg-3144	148	12	and	and	CCONJ
fuelectenerg-3144	148	13	the	the	DET
fuelectenerg-3144	148	14	variables	variable	NOUN
fuelectenerg-3144	148	15	x1	x1	PROPN
fuelectenerg-3144	148	16	through	through	ADP
fuelectenerg-3144	148	17	xm	xm	PROPN
fuelectenerg-3144	148	18	as	as	ADP
fuelectenerg-3144	148	19	input	input	NOUN
fuelectenerg-3144	148	20	variables	variable	NOUN
fuelectenerg-3144	148	21	.	.	PUNCT
fuelectenerg-3144	149	1	figure	figure	NOUN
fuelectenerg-3144	149	2	1	1	NUM
fuelectenerg-3144	149	3	illustrates	illustrate	VERB
fuelectenerg-3144	149	4	this	this	DET
fuelectenerg-3144	149	5	notation	notation	NOUN
fuelectenerg-3144	149	6	in	in	ADP
fuelectenerg-3144	149	7	the	the	DET
fuelectenerg-3144	149	8	context	context	NOUN
fuelectenerg-3144	149	9	of	of	ADP
fuelectenerg-3144	149	10	a	a	DET
fuelectenerg-3144	149	11	digital	digital	ADJ
fuelectenerg-3144	149	12	logic	logic	NOUN
fuelectenerg-3144	149	13	circuit	circuit	NOUN
fuelectenerg-3144	149	14	that	that	PRON
fuelectenerg-3144	149	15	implements	implement	VERB
fuelectenerg-3144	149	16	an	an	DET
fuelectenerg-3144	149	17	fsm	fsm	PROPN
fuelectenerg-3144	149	18	.	.	PUNCT
fuelectenerg-3144	150	1	we	we	PRON
fuelectenerg-3144	150	2	distinguish	distinguish	VERB
fuelectenerg-3144	150	3	carefully	carefully	ADV
fuelectenerg-3144	150	4	between	between	ADP
fuelectenerg-3144	150	5	input	input	NOUN
fuelectenerg-3144	150	6	values	value	NOUN
fuelectenerg-3144	150	7	,	,	PUNCT
fuelectenerg-3144	150	8	which	which	PRON
fuelectenerg-3144	150	9	are	be	AUX
fuelectenerg-3144	150	10	the	the	DET
fuelectenerg-3144	150	11	symbolic	symbolic	ADJ
fuelectenerg-3144	150	12	inputs	input	NOUN
fuelectenerg-3144	150	13	of	of	ADP
fuelectenerg-3144	150	14	an	an	DET
fuelectenerg-3144	150	15	fsm	fsm	NOUN
fuelectenerg-3144	150	16	and	and	CCONJ
fuelectenerg-3144	150	17	elements	element	NOUN
fuelectenerg-3144	150	18	of	of	ADP
fuelectenerg-3144	150	19	the	the	DET
fuelectenerg-3144	150	20	set	set	NOUN
fuelectenerg-3144	150	21	i	i	PROPN
fuelectenerg-3144	150	22	,	,	PUNCT
fuelectenerg-3144	150	23	and	and	CCONJ
fuelectenerg-3144	150	24	input	input	NOUN
fuelectenerg-3144	150	25	variables	variable	NOUN
fuelectenerg-3144	150	26	,	,	PUNCT
fuelectenerg-3144	150	27	which	which	PRON
fuelectenerg-3144	150	28	are	be	AUX
fuelectenerg-3144	150	29	the	the	DET
fuelectenerg-3144	150	30	boolean	boolean	ADJ
fuelectenerg-3144	150	31	variables	variable	NOUN
fuelectenerg-3144	150	32	x1	x1	PROPN
fuelectenerg-3144	150	33	through	through	ADP
fuelectenerg-3144	150	34	xm	xm	PROPN
fuelectenerg-3144	150	35	used	use	VERB
fuelectenerg-3144	150	36	in	in	ADP
fuelectenerg-3144	150	37	a	a	DET
fuelectenerg-3144	150	38	digital	digital	ADJ
fuelectenerg-3144	150	39	logic	logic	NOUN
fuelectenerg-3144	150	40	circuit	circuit	NOUN
fuelectenerg-3144	150	41	to	to	PART
fuelectenerg-3144	150	42	represent	represent	VERB
fuelectenerg-3144	150	43	input	input	NOUN
fuelectenerg-3144	150	44	values	value	NOUN
fuelectenerg-3144	150	45	.	.	PUNCT
fuelectenerg-3144	151	1	similarly	similarly	ADV
fuelectenerg-3144	151	2	,	,	PUNCT
fuelectenerg-3144	151	3	we	we	PRON
fuelectenerg-3144	151	4	also	also	ADV
fuelectenerg-3144	151	5	distinguish	distinguish	VERB
fuelectenerg-3144	151	6	between	between	ADP
fuelectenerg-3144	151	7	states	state	NOUN
fuelectenerg-3144	151	8	and	and	CCONJ
fuelectenerg-3144	151	9	state	state	NOUN
fuelectenerg-3144	151	10	variables	variable	NOUN
fuelectenerg-3144	151	11	—	—	PUNCT
fuelectenerg-3144	151	12	states	state	NOUN
fuelectenerg-3144	151	13	are	be	AUX
fuelectenerg-3144	151	14	the	the	DET
fuelectenerg-3144	151	15	symbolic	symbolic	ADJ
fuelectenerg-3144	151	16	internal	internal	ADJ
fuelectenerg-3144	151	17	states	state	NOUN
fuelectenerg-3144	151	18	of	of	ADP
fuelectenerg-3144	151	19	an	an	DET
fuelectenerg-3144	151	20	fsm	fsm	NOUN
fuelectenerg-3144	151	21	and	and	CCONJ
fuelectenerg-3144	151	22	elements	element	NOUN
fuelectenerg-3144	151	23	of	of	ADP
fuelectenerg-3144	151	24	the	the	DET
fuelectenerg-3144	151	25	set	set	NOUN
fuelectenerg-3144	151	26	s	s	PROPN
fuelectenerg-3144	151	27	,	,	PUNCT
fuelectenerg-3144	151	28	while	while	SCONJ
fuelectenerg-3144	151	29	state	state	NOUN
fuelectenerg-3144	151	30	variables	variable	NOUN
fuelectenerg-3144	151	31	are	be	AUX
fuelectenerg-3144	151	32	the	the	DET
fuelectenerg-3144	151	33	variables	variables	PROPN
fuelectenerg-3144	151	34	q1	q1	PROPN
fuelectenerg-3144	151	35	through	through	ADP
fuelectenerg-3144	151	36	qn	qn	NOUN
fuelectenerg-3144	151	37	that	that	DET
fuelectenerg-3144	151	38	correspond	correspond	NOUN
fuelectenerg-3144	151	39	to	to	ADP
fuelectenerg-3144	151	40	the	the	DET
fuelectenerg-3144	151	41	states	state	NOUN
fuelectenerg-3144	151	42	of	of	ADP
fuelectenerg-3144	151	43	individual	individual	ADJ
fuelectenerg-3144	151	44	flip	flip	NOUN
fuelectenerg-3144	151	45	-	-	PUNCT
fuelectenerg-3144	151	46	flops	flop	NOUN
fuelectenerg-3144	151	47	and	and	CCONJ
fuelectenerg-3144	151	48	together	together	ADV
fuelectenerg-3144	151	49	represent	represent	VERB
fuelectenerg-3144	151	50	the	the	DET
fuelectenerg-3144	151	51	symbolic	symbolic	ADJ
fuelectenerg-3144	151	52	state	state	NOUN
fuelectenerg-3144	151	53	.	.	PUNCT
fuelectenerg-3144	152	1	to	to	PART
fuelectenerg-3144	152	2	help	help	VERB
fuelectenerg-3144	152	3	avoid	avoid	VERB
fuelectenerg-3144	152	4	confusion	confusion	NOUN
fuelectenerg-3144	152	5	,	,	PUNCT
fuelectenerg-3144	152	6	we	we	PRON
fuelectenerg-3144	152	7	will	will	AUX
fuelectenerg-3144	152	8	always	always	ADV
fuelectenerg-3144	152	9	follow	follow	VERB
fuelectenerg-3144	152	10	a	a	DET
fuelectenerg-3144	152	11	consistent	consistent	ADJ
fuelectenerg-3144	152	12	notational	notational	ADJ
fuelectenerg-3144	152	13	convention	convention	NOUN
fuelectenerg-3144	152	14	where	where	SCONJ
fuelectenerg-3144	152	15	,	,	PUNCT
fuelectenerg-3144	152	16	in	in	ADP
fuelectenerg-3144	152	17	addition	addition	NOUN
fuelectenerg-3144	152	18	to	to	ADP
fuelectenerg-3144	152	19	using	use	VERB
fuelectenerg-3144	152	20	qi	qi	PROPN
fuelectenerg-3144	152	21	and	and	CCONJ
fuelectenerg-3144	152	22	xj	xj	PROPN
fuelectenerg-3144	152	23	for	for	ADP
fuelectenerg-3144	152	24	states	state	NOUN
fuelectenerg-3144	152	25	and	and	CCONJ
fuelectenerg-3144	152	26	input	input	NOUN
fuelectenerg-3144	152	27	values	value	NOUN
fuelectenerg-3144	152	28	respectively	respectively	ADV
fuelectenerg-3144	152	29	,	,	PUNCT
fuelectenerg-3144	152	30	we	we	PRON
fuelectenerg-3144	152	31	also	also	ADV
fuelectenerg-3144	152	32	use	use	VERB
fuelectenerg-3144	152	33	s	s	NOUN
fuelectenerg-3144	152	34	or	or	CCONJ
fuelectenerg-3144	152	35	s1	s1	NOUN
fuelectenerg-3144	152	36	,	,	PUNCT
fuelectenerg-3144	152	37	s2	s2	PROPN
fuelectenerg-3144	152	38	,	,	PUNCT
fuelectenerg-3144	152	39	etc	etc	X
fuelectenerg-3144	152	40	.	.	X
fuelectenerg-3144	152	41	to	to	PART
fuelectenerg-3144	152	42	represent	represent	VERB
fuelectenerg-3144	152	43	states	state	NOUN
fuelectenerg-3144	152	44	and	and	CCONJ
fuelectenerg-3144	152	45	i	i	PROPN
fuelectenerg-3144	152	46	,	,	PUNCT
fuelectenerg-3144	152	47	i1	i1	PROPN
fuelectenerg-3144	152	48	,	,	PUNCT
fuelectenerg-3144	152	49	i2	i2	PROPN
fuelectenerg-3144	152	50	,	,	PUNCT
fuelectenerg-3144	152	51	etc	etc	X
fuelectenerg-3144	152	52	.	.	X
fuelectenerg-3144	152	53	to	to	PART
fuelectenerg-3144	152	54	represent	represent	VERB
fuelectenerg-3144	152	55	input	input	NOUN
fuelectenerg-3144	152	56	values	value	NOUN
fuelectenerg-3144	152	57	.	.	PUNCT
fuelectenerg-3144	153	1	in	in	ADP
fuelectenerg-3144	153	2	the	the	DET
fuelectenerg-3144	153	3	context	context	NOUN
fuelectenerg-3144	153	4	of	of	ADP
fuelectenerg-3144	153	5	an	an	DET
fuelectenerg-3144	153	6	fsm	fsm	PROPN
fuelectenerg-3144	153	7	,	,	PUNCT
fuelectenerg-3144	153	8	the	the	DET
fuelectenerg-3144	153	9	word	word	NOUN
fuelectenerg-3144	153	10	“	"	PUNCT
fuelectenerg-3144	153	11	input	input	NOUN
fuelectenerg-3144	153	12	”	"	PUNCT
fuelectenerg-3144	153	13	without	without	ADP
fuelectenerg-3144	153	14	further	further	ADJ
fuelectenerg-3144	153	15	qualification	qualification	NOUN
fuelectenerg-3144	153	16	will	will	AUX
fuelectenerg-3144	153	17	always	always	ADV
fuelectenerg-3144	153	18	refer	refer	VERB
fuelectenerg-3144	153	19	to	to	ADP
fuelectenerg-3144	153	20	an	an	DET
fuelectenerg-3144	153	21	input	input	NOUN
fuelectenerg-3144	153	22	value	value	NOUN
fuelectenerg-3144	153	23	and	and	CCONJ
fuelectenerg-3144	153	24	not	not	PART
fuelectenerg-3144	153	25	an	an	DET
fuelectenerg-3144	153	26	input	input	NOUN
fuelectenerg-3144	153	27	variable	variable	NOUN
fuelectenerg-3144	153	28	.	.	PUNCT
fuelectenerg-3144	154	1	a	a	DET
fuelectenerg-3144	154	2	state	state	NOUN
fuelectenerg-3144	154	3	encoding	encoding	NOUN
fuelectenerg-3144	154	4	may	may	AUX
fuelectenerg-3144	154	5	be	be	AUX
fuelectenerg-3144	154	6	bijective	bijective	ADJ
fuelectenerg-3144	154	7	,	,	PUNCT
fuelectenerg-3144	154	8	that	that	ADV
fuelectenerg-3144	154	9	is	is	ADV
fuelectenerg-3144	154	10	,	,	PUNCT
fuelectenerg-3144	154	11	each	each	DET
fuelectenerg-3144	154	12	flip	flip	NOUN
fuelectenerg-3144	154	13	-	-	PUNCT
fuelectenerg-3144	154	14	flop	flop	NOUN
fuelectenerg-3144	154	15	array	array	NOUN
fuelectenerg-3144	154	16	state	state	NOUN
fuelectenerg-3144	154	17	represents	represent	VERB
fuelectenerg-3144	154	18	exactly	exactly	ADV
fuelectenerg-3144	154	19	one	one	NUM
fuelectenerg-3144	154	20	fsm	fsm	PROPN
fuelectenerg-3144	154	21	state	state	NOUN
fuelectenerg-3144	154	22	,	,	PUNCT
fuelectenerg-3144	154	23	or	or	CCONJ
fuelectenerg-3144	154	24	it	it	PRON
fuelectenerg-3144	154	25	may	may	AUX
fuelectenerg-3144	154	26	not	not	PART
fuelectenerg-3144	154	27	.	.	PUNCT
fuelectenerg-3144	155	1	non	non	ADJ
fuelectenerg-3144	155	2	-	-	ADJ
fuelectenerg-3144	155	3	bijective	bijective	ADJ
fuelectenerg-3144	155	4	encodings	encoding	NOUN
fuelectenerg-3144	155	5	might	might	AUX
fuelectenerg-3144	155	6	arise	arise	VERB
fuelectenerg-3144	155	7	(	(	PUNCT
fuelectenerg-3144	155	8	for	for	ADP
fuelectenerg-3144	155	9	instance	instance	NOUN
fuelectenerg-3144	155	10	)	)	PUNCT
fuelectenerg-3144	155	11	if	if	SCONJ
fuelectenerg-3144	155	12	the	the	DET
fuelectenerg-3144	155	13	number	number	NOUN
fuelectenerg-3144	155	14	of	of	ADP
fuelectenerg-3144	155	15	possible	possible	ADJ
fuelectenerg-3144	155	16	flip	flip	NOUN
fuelectenerg-3144	155	17	-	-	PUNCT
fuelectenerg-3144	155	18	flop	flop	NOUN
fuelectenerg-3144	155	19	array	array	NOUN
fuelectenerg-3144	155	20	states	state	NOUN
fuelectenerg-3144	155	21	is	be	AUX
fuelectenerg-3144	155	22	greater	great	ADJ
fuelectenerg-3144	155	23	than	than	ADP
fuelectenerg-3144	155	24	the	the	DET
fuelectenerg-3144	155	25	number	number	NOUN
fuelectenerg-3144	155	26	of	of	ADP
fuelectenerg-3144	155	27	fsm	fsm	PROPN
fuelectenerg-3144	155	28	states	state	NOUN
fuelectenerg-3144	155	29	,	,	PUNCT
fuelectenerg-3144	155	30	in	in	ADP
fuelectenerg-3144	155	31	which	which	DET
fuelectenerg-3144	155	32	case	case	NOUN
fuelectenerg-3144	155	33	some	some	PRON
fuelectenerg-3144	155	34	of	of	ADP
fuelectenerg-3144	155	35	the	the	DET
fuelectenerg-3144	155	36	possible	possible	ADJ
fuelectenerg-3144	155	37	flip	flip	NOUN
fuelectenerg-3144	155	38	-	-	PUNCT
fuelectenerg-3144	155	39	flop	flop	NOUN
fuelectenerg-3144	155	40	states	state	NOUN
fuelectenerg-3144	155	41	will	will	AUX
fuelectenerg-3144	155	42	not	not	PART
fuelectenerg-3144	155	43	represent	represent	VERB
fuelectenerg-3144	155	44	any	any	DET
fuelectenerg-3144	155	45	fsm	fsm	PROPN
fuelectenerg-3144	155	46	state	state	NOUN
fuelectenerg-3144	155	47	at	at	ADV
fuelectenerg-3144	155	48	all	all	ADV
fuelectenerg-3144	155	49	.	.	PUNCT
fuelectenerg-3144	156	1	similarly	similarly	ADV
fuelectenerg-3144	156	2	,	,	PUNCT
fuelectenerg-3144	156	3	input	input	NOUN
fuelectenerg-3144	156	4	encodings	encoding	NOUN
fuelectenerg-3144	156	5	may	may	AUX
fuelectenerg-3144	156	6	also	also	ADV
fuelectenerg-3144	156	7	be	be	AUX
fuelectenerg-3144	156	8	bijective	bijective	ADJ
fuelectenerg-3144	156	9	,	,	PUNCT
fuelectenerg-3144	156	10	or	or	CCONJ
fuelectenerg-3144	156	11	not	not	PART
fuelectenerg-3144	156	12	.	.	PUNCT
fuelectenerg-3144	157	1	for	for	ADP
fuelectenerg-3144	157	2	a	a	DET
fuelectenerg-3144	157	3	bijective	bijective	ADJ
fuelectenerg-3144	157	4	input	input	NOUN
fuelectenerg-3144	157	5	encoding	encoding	NOUN
fuelectenerg-3144	157	6	,	,	PUNCT
fuelectenerg-3144	157	7	each	each	DET
fuelectenerg-3144	157	8	possible	possible	ADJ
fuelectenerg-3144	157	9	combination	combination	NOUN
fuelectenerg-3144	157	10	of	of	ADP
fuelectenerg-3144	157	11	assignments	assignment	NOUN
fuelectenerg-3144	157	12	to	to	PART
fuelectenerg-3144	157	13	input	input	VERB
fuelectenerg-3144	157	14	variables	variable	NOUN
fuelectenerg-3144	157	15	corresponds	correspond	VERB
fuelectenerg-3144	157	16	to	to	ADP
fuelectenerg-3144	157	17	exactly	exactly	ADV
fuelectenerg-3144	157	18	one	one	NUM
fuelectenerg-3144	157	19	input	input	NOUN
fuelectenerg-3144	157	20	value	value	NOUN
fuelectenerg-3144	157	21	.	.	PUNCT
fuelectenerg-3144	158	1	we	we	PRON
fuelectenerg-3144	158	2	say	say	VERB
fuelectenerg-3144	158	3	that	that	SCONJ
fuelectenerg-3144	158	4	an	an	DET
fuelectenerg-3144	158	5	encoding	encoding	NOUN
fuelectenerg-3144	158	6	(	(	PUNCT
fuelectenerg-3144	158	7	the	the	DET
fuelectenerg-3144	158	8	combination	combination	NOUN
fuelectenerg-3144	158	9	of	of	ADP
fuelectenerg-3144	158	10	both	both	DET
fuelectenerg-3144	158	11	state	state	NOUN
fuelectenerg-3144	158	12	and	and	CCONJ
fuelectenerg-3144	158	13	input	input	NOUN
fuelectenerg-3144	158	14	encodings	encoding	NOUN
fuelectenerg-3144	158	15	)	)	PUNCT
fuelectenerg-3144	158	16	is	be	AUX
fuelectenerg-3144	158	17	bijective	bijective	ADJ
fuelectenerg-3144	158	18	if	if	SCONJ
fuelectenerg-3144	158	19	both	both	CCONJ
fuelectenerg-3144	158	20	the	the	DET
fuelectenerg-3144	158	21	state	state	NOUN
fuelectenerg-3144	158	22	and	and	CCONJ
fuelectenerg-3144	158	23	input	input	NOUN
fuelectenerg-3144	158	24	encodings	encoding	NOUN
fuelectenerg-3144	158	25	are	be	AUX
fuelectenerg-3144	158	26	bijective	bijective	ADJ
fuelectenerg-3144	158	27	.	.	PUNCT
fuelectenerg-3144	159	1	if	if	SCONJ
fuelectenerg-3144	159	2	an	an	DET
fuelectenerg-3144	159	3	encoding	encoding	NOUN
fuelectenerg-3144	159	4	is	be	AUX
fuelectenerg-3144	159	5	bijective	bijective	ADJ
fuelectenerg-3144	159	6	,	,	PUNCT
fuelectenerg-3144	159	7	then	then	ADV
fuelectenerg-3144	159	8	any	any	DET
fuelectenerg-3144	159	9	combination	combination	NOUN
fuelectenerg-3144	159	10	of	of	ADP
fuelectenerg-3144	159	11	assignments	assignment	NOUN
fuelectenerg-3144	159	12	to	to	ADP
fuelectenerg-3144	159	13	the	the	DET
fuelectenerg-3144	159	14	4	4	NUM
fuelectenerg-3144	159	15	d1	d1	PROPN
fuelectenerg-3144	159	16	q1	q1	PROPN
fuelectenerg-3144	159	17	d2	d2	PROPN
fuelectenerg-3144	159	18	q2	q2	PROPN
fuelectenerg-3144	159	19	dn	dn	PROPN
fuelectenerg-3144	159	20	qn	qn	PROPN
fuelectenerg-3144	159	21	δ1(q1	δ1(q1	PROPN
fuelectenerg-3144	159	22	,	,	PUNCT
fuelectenerg-3144	159	23	.	.	PUNCT
fuelectenerg-3144	159	24	.	.	PUNCT
fuelectenerg-3144	160	1	.	.	PUNCT
fuelectenerg-3144	161	1	,	,	PUNCT
fuelectenerg-3144	161	2	qn	qn	INTJ
fuelectenerg-3144	161	3	,	,	PUNCT
fuelectenerg-3144	161	4	x1	x1	PROPN
fuelectenerg-3144	161	5	,	,	PUNCT
fuelectenerg-3144	161	6	.	.	PUNCT
fuelectenerg-3144	161	7	.	.	PUNCT
fuelectenerg-3144	162	1	.	.	PUNCT
fuelectenerg-3144	163	1	,	,	PUNCT
fuelectenerg-3144	163	2	xm	xm	X
fuelectenerg-3144	163	3	)	)	PUNCT
fuelectenerg-3144	163	4	δ2(q1	δ2(q1	NOUN
fuelectenerg-3144	163	5	,	,	PUNCT
fuelectenerg-3144	163	6	.	.	PUNCT
fuelectenerg-3144	163	7	.	.	PUNCT
fuelectenerg-3144	164	1	.	.	PUNCT
fuelectenerg-3144	165	1	,	,	PUNCT
fuelectenerg-3144	165	2	qn	qn	INTJ
fuelectenerg-3144	165	3	,	,	PUNCT
fuelectenerg-3144	165	4	x1	x1	PROPN
fuelectenerg-3144	165	5	,	,	PUNCT
fuelectenerg-3144	165	6	.	.	PUNCT
fuelectenerg-3144	165	7	.	.	PUNCT
fuelectenerg-3144	166	1	.	.	PUNCT
fuelectenerg-3144	167	1	,	,	PUNCT
fuelectenerg-3144	167	2	xm	xm	PROPN
fuelectenerg-3144	167	3	)	)	PUNCT
fuelectenerg-3144	167	4	δn(q1	δn(q1	NOUN
fuelectenerg-3144	167	5	,	,	PUNCT
fuelectenerg-3144	167	6	.	.	PUNCT
fuelectenerg-3144	167	7	.	.	PUNCT
fuelectenerg-3144	168	1	.	.	PUNCT
fuelectenerg-3144	169	1	,	,	PUNCT
fuelectenerg-3144	169	2	qn	qn	INTJ
fuelectenerg-3144	169	3	,	,	PUNCT
fuelectenerg-3144	169	4	x1	x1	PROPN
fuelectenerg-3144	169	5	,	,	PUNCT
fuelectenerg-3144	169	6	.	.	PUNCT
fuelectenerg-3144	169	7	.	.	PUNCT
fuelectenerg-3144	170	1	.	.	PUNCT
fuelectenerg-3144	171	1	,	,	PUNCT
fuelectenerg-3144	171	2	xm	xm	PROPN
fuelectenerg-3144	171	3	)	)	PUNCT
fuelectenerg-3144	172	1	x1	x1	PROPN
fuelectenerg-3144	172	2	xm	xm	PROPN
fuelectenerg-3144	172	3	figure	figure	NOUN
fuelectenerg-3144	172	4	1	1	NUM
fuelectenerg-3144	172	5	:	:	PUNCT
fuelectenerg-3144	172	6	general	general	ADJ
fuelectenerg-3144	172	7	structure	structure	NOUN
fuelectenerg-3144	172	8	of	of	ADP
fuelectenerg-3144	172	9	an	an	DET
fuelectenerg-3144	172	10	fsm	fsm	PROPN
fuelectenerg-3144	172	11	implemented	implement	VERB
fuelectenerg-3144	172	12	as	as	ADP
fuelectenerg-3144	172	13	a	a	DET
fuelectenerg-3144	172	14	digital	digital	ADJ
fuelectenerg-3144	172	15	logic	logic	NOUN
fuelectenerg-3144	172	16	circuit	circuit	NOUN
fuelectenerg-3144	172	17	;	;	PUNCT
fuelectenerg-3144	172	18	output	output	NOUN
fuelectenerg-3144	172	19	logic	logic	NOUN
fuelectenerg-3144	172	20	not	not	PART
fuelectenerg-3144	172	21	shown	show	VERB
fuelectenerg-3144	172	22	.	.	PUNCT
fuelectenerg-3144	173	1	5	5	NUM
fuelectenerg-3144	173	2	172	172	NUM
fuelectenerg-3144	173	3	e.	e.	PROPN
fuelectenerg-3144	173	4	tsai	tsai	PROPN
fuelectenerg-3144	173	5	,	,	PUNCT
fuelectenerg-3144	173	6	m.	m.	PROPN
fuelectenerg-3144	173	7	perkowski	perkowski	PROPN
fuelectenerg-3144	173	8	a	a	DET
fuelectenerg-3144	173	9	quantum	quantum	ADJ
fuelectenerg-3144	173	10	algorithm	algorithm	NOUN
fuelectenerg-3144	173	11	for	for	ADP
fuelectenerg-3144	173	12	automata	automata	NOUN
fuelectenerg-3144	173	13	encoding	encode	VERB
fuelectenerg-3144	173	14	173	173	NUM
fuelectenerg-3144	173	15	similarly	similarly	ADV
fuelectenerg-3144	173	16	,	,	PUNCT
fuelectenerg-3144	173	17	in	in	ADP
fuelectenerg-3144	173	18	order	order	NOUN
fuelectenerg-3144	173	19	to	to	PART
fuelectenerg-3144	173	20	implement	implement	VERB
fuelectenerg-3144	173	21	an	an	DET
fuelectenerg-3144	173	22	fsm	fsm	NOUN
fuelectenerg-3144	173	23	with	with	ADP
fuelectenerg-3144	173	24	a	a	DET
fuelectenerg-3144	173	25	digital	digital	ADJ
fuelectenerg-3144	173	26	logic	logic	NOUN
fuelectenerg-3144	173	27	circuit	circuit	NOUN
fuelectenerg-3144	173	28	,	,	PUNCT
fuelectenerg-3144	173	29	one	one	PRON
fuelectenerg-3144	173	30	must	must	AUX
fuelectenerg-3144	173	31	also	also	ADV
fuelectenerg-3144	173	32	select	select	VERB
fuelectenerg-3144	173	33	an	an	DET
fuelectenerg-3144	173	34	input	input	NOUN
fuelectenerg-3144	173	35	encoding	encoding	NOUN
fuelectenerg-3144	173	36	,	,	PUNCT
fuelectenerg-3144	173	37	which	which	PRON
fuelectenerg-3144	173	38	maps	map	VERB
fuelectenerg-3144	173	39	each	each	DET
fuelectenerg-3144	173	40	input	input	NOUN
fuelectenerg-3144	173	41	value	value	NOUN
fuelectenerg-3144	173	42	of	of	ADP
fuelectenerg-3144	173	43	the	the	DET
fuelectenerg-3144	173	44	fsm	fsm	PROPN
fuelectenerg-3144	173	45	to	to	ADP
fuelectenerg-3144	173	46	an	an	DET
fuelectenerg-3144	173	47	array	array	NOUN
fuelectenerg-3144	173	48	of	of	ADP
fuelectenerg-3144	173	49	boolean	boolean	ADJ
fuelectenerg-3144	173	50	values	value	NOUN
fuelectenerg-3144	173	51	,	,	PUNCT
fuelectenerg-3144	173	52	where	where	SCONJ
fuelectenerg-3144	173	53	each	each	DET
fuelectenerg-3144	173	54	boolean	boolean	ADJ
fuelectenerg-3144	173	55	value	value	NOUN
fuelectenerg-3144	173	56	represents	represent	VERB
fuelectenerg-3144	173	57	the	the	DET
fuelectenerg-3144	173	58	value	value	NOUN
fuelectenerg-3144	173	59	supplied	supply	VERB
fuelectenerg-3144	173	60	on	on	ADP
fuelectenerg-3144	173	61	an	an	DET
fuelectenerg-3144	173	62	input	input	ADJ
fuelectenerg-3144	173	63	wire	wire	NOUN
fuelectenerg-3144	173	64	to	to	ADP
fuelectenerg-3144	173	65	the	the	DET
fuelectenerg-3144	173	66	digital	digital	ADJ
fuelectenerg-3144	173	67	logic	logic	NOUN
fuelectenerg-3144	173	68	circuit	circuit	NOUN
fuelectenerg-3144	173	69	.	.	PUNCT
fuelectenerg-3144	174	1	in	in	ADP
fuelectenerg-3144	174	2	other	other	ADJ
fuelectenerg-3144	174	3	words	word	NOUN
fuelectenerg-3144	174	4	,	,	PUNCT
fuelectenerg-3144	174	5	an	an	DET
fuelectenerg-3144	174	6	input	input	NOUN
fuelectenerg-3144	174	7	encoding	encoding	NOUN
fuelectenerg-3144	174	8	is	be	AUX
fuelectenerg-3144	174	9	a	a	DET
fuelectenerg-3144	174	10	function	function	NOUN
fuelectenerg-3144	174	11	ci	ci	NOUN
fuelectenerg-3144	174	12	:	:	PUNCT
fuelectenerg-3144	174	13	i	i	PRON
fuelectenerg-3144	174	14	→	→	PUNCT
fuelectenerg-3144	174	15	{	{	PUNCT
fuelectenerg-3144	174	16	0	0	NUM
fuelectenerg-3144	174	17	,	,	PUNCT
fuelectenerg-3144	174	18	1}m	1}m	NUM
fuelectenerg-3144	174	19	where	where	SCONJ
fuelectenerg-3144	174	20	m	m	NOUN
fuelectenerg-3144	174	21	is	be	AUX
fuelectenerg-3144	174	22	the	the	DET
fuelectenerg-3144	174	23	number	number	NOUN
fuelectenerg-3144	174	24	of	of	ADP
fuelectenerg-3144	174	25	input	input	NOUN
fuelectenerg-3144	174	26	wires	wire	NOUN
fuelectenerg-3144	174	27	.	.	PUNCT
fuelectenerg-3144	175	1	finally	finally	ADV
fuelectenerg-3144	175	2	,	,	PUNCT
fuelectenerg-3144	175	3	in	in	ADP
fuelectenerg-3144	175	4	addition	addition	NOUN
fuelectenerg-3144	175	5	to	to	ADP
fuelectenerg-3144	175	6	the	the	DET
fuelectenerg-3144	175	7	state	state	NOUN
fuelectenerg-3144	175	8	and	and	CCONJ
fuelectenerg-3144	175	9	input	input	NOUN
fuelectenerg-3144	175	10	encoding	encoding	NOUN
fuelectenerg-3144	175	11	,	,	PUNCT
fuelectenerg-3144	175	12	one	one	PRON
fuelectenerg-3144	175	13	must	must	AUX
fuelectenerg-3144	175	14	select	select	VERB
fuelectenerg-3144	175	15	an	an	DET
fuelectenerg-3144	175	16	output	output	NOUN
fuelectenerg-3144	175	17	encoding	encode	VERB
fuelectenerg-3144	175	18	to	to	PART
fuelectenerg-3144	175	19	fully	fully	ADV
fuelectenerg-3144	175	20	implement	implement	VERB
fuelectenerg-3144	175	21	an	an	DET
fuelectenerg-3144	175	22	fsm	fsm	NOUN
fuelectenerg-3144	175	23	with	with	ADP
fuelectenerg-3144	175	24	digital	digital	ADJ
fuelectenerg-3144	175	25	logic	logic	NOUN
fuelectenerg-3144	175	26	.	.	PUNCT
fuelectenerg-3144	176	1	however	however	ADV
fuelectenerg-3144	176	2	,	,	PUNCT
fuelectenerg-3144	176	3	we	we	PRON
fuelectenerg-3144	176	4	do	do	AUX
fuelectenerg-3144	176	5	not	not	PART
fuelectenerg-3144	176	6	consider	consider	VERB
fuelectenerg-3144	176	7	the	the	DET
fuelectenerg-3144	176	8	problem	problem	NOUN
fuelectenerg-3144	176	9	of	of	ADP
fuelectenerg-3144	176	10	encoding	encode	VERB
fuelectenerg-3144	176	11	outputs	output	NOUN
fuelectenerg-3144	176	12	in	in	ADP
fuelectenerg-3144	176	13	this	this	DET
fuelectenerg-3144	176	14	paper	paper	NOUN
fuelectenerg-3144	176	15	and	and	CCONJ
fuelectenerg-3144	176	16	consequently	consequently	ADV
fuelectenerg-3144	176	17	,	,	PUNCT
fuelectenerg-3144	176	18	we	we	PRON
fuelectenerg-3144	176	19	will	will	AUX
fuelectenerg-3144	176	20	ignore	ignore	VERB
fuelectenerg-3144	176	21	the	the	DET
fuelectenerg-3144	176	22	outputs	output	NOUN
fuelectenerg-3144	176	23	of	of	ADP
fuelectenerg-3144	176	24	an	an	DET
fuelectenerg-3144	176	25	fsm	fsm	NOUN
fuelectenerg-3144	176	26	from	from	ADP
fuelectenerg-3144	176	27	now	now	ADV
fuelectenerg-3144	176	28	on	on	ADV
fuelectenerg-3144	176	29	.	.	PUNCT
fuelectenerg-3144	177	1	we	we	PRON
fuelectenerg-3144	177	2	will	will	AUX
fuelectenerg-3144	177	3	use	use	VERB
fuelectenerg-3144	177	4	“	"	PUNCT
fuelectenerg-3144	177	5	encoding	encode	VERB
fuelectenerg-3144	177	6	”	"	PUNCT
fuelectenerg-3144	177	7	without	without	ADP
fuelectenerg-3144	177	8	further	further	ADJ
fuelectenerg-3144	177	9	qualification	qualification	NOUN
fuelectenerg-3144	177	10	to	to	PART
fuelectenerg-3144	177	11	mean	mean	VERB
fuelectenerg-3144	177	12	the	the	DET
fuelectenerg-3144	177	13	combination	combination	NOUN
fuelectenerg-3144	177	14	of	of	ADP
fuelectenerg-3144	177	15	a	a	DET
fuelectenerg-3144	177	16	state	state	NOUN
fuelectenerg-3144	177	17	and	and	CCONJ
fuelectenerg-3144	177	18	input	input	NOUN
fuelectenerg-3144	177	19	encoding	encoding	NOUN
fuelectenerg-3144	177	20	.	.	PUNCT
fuelectenerg-3144	178	1	we	we	PRON
fuelectenerg-3144	178	2	may	may	AUX
fuelectenerg-3144	178	3	also	also	ADV
fuelectenerg-3144	178	4	use	use	VERB
fuelectenerg-3144	178	5	the	the	DET
fuelectenerg-3144	178	6	phrase	phrase	NOUN
fuelectenerg-3144	178	7	“	"	PUNCT
fuelectenerg-3144	178	8	encoding	encode	VERB
fuelectenerg-3144	178	9	of	of	ADP
fuelectenerg-3144	178	10	[	[	PUNCT
fuelectenerg-3144	178	11	a	a	DET
fuelectenerg-3144	178	12	state	state	NOUN
fuelectenerg-3144	178	13	or	or	CCONJ
fuelectenerg-3144	178	14	input	input	NOUN
fuelectenerg-3144	178	15	value	value	NOUN
fuelectenerg-3144	178	16	]	]	PUNCT
fuelectenerg-3144	178	17	”	"	PUNCT
fuelectenerg-3144	178	18	to	to	PART
fuelectenerg-3144	178	19	mean	mean	VERB
fuelectenerg-3144	178	20	the	the	DET
fuelectenerg-3144	178	21	combination	combination	NOUN
fuelectenerg-3144	178	22	of	of	ADP
fuelectenerg-3144	178	23	state	state	NOUN
fuelectenerg-3144	178	24	or	or	CCONJ
fuelectenerg-3144	178	25	input	input	NOUN
fuelectenerg-3144	178	26	variable	variable	ADJ
fuelectenerg-3144	178	27	values	value	NOUN
fuelectenerg-3144	178	28	corresponding	correspond	VERB
fuelectenerg-3144	178	29	to	to	ADP
fuelectenerg-3144	178	30	that	that	DET
fuelectenerg-3144	178	31	state	state	NOUN
fuelectenerg-3144	178	32	or	or	CCONJ
fuelectenerg-3144	178	33	input	input	NOUN
fuelectenerg-3144	178	34	value	value	NOUN
fuelectenerg-3144	178	35	under	under	ADP
fuelectenerg-3144	178	36	a	a	DET
fuelectenerg-3144	178	37	given	give	VERB
fuelectenerg-3144	178	38	encoding	encoding	NOUN
fuelectenerg-3144	178	39	.	.	PUNCT
fuelectenerg-3144	179	1	in	in	ADP
fuelectenerg-3144	179	2	other	other	ADJ
fuelectenerg-3144	179	3	words	word	NOUN
fuelectenerg-3144	179	4	,	,	PUNCT
fuelectenerg-3144	179	5	given	give	VERB
fuelectenerg-3144	179	6	a	a	DET
fuelectenerg-3144	179	7	state	state	NOUN
fuelectenerg-3144	179	8	encoding	encoding	NOUN
fuelectenerg-3144	179	9	as	as	ADP
fuelectenerg-3144	179	10	a	a	DET
fuelectenerg-3144	179	11	function	function	NOUN
fuelectenerg-3144	179	12	cs	cs	NOUN
fuelectenerg-3144	179	13	as	as	SCONJ
fuelectenerg-3144	179	14	described	describe	VERB
fuelectenerg-3144	179	15	above	above	ADV
fuelectenerg-3144	179	16	,	,	PUNCT
fuelectenerg-3144	179	17	the	the	DET
fuelectenerg-3144	179	18	encoding	encoding	NOUN
fuelectenerg-3144	179	19	of	of	ADP
fuelectenerg-3144	179	20	a	a	DET
fuelectenerg-3144	179	21	state	state	NOUN
fuelectenerg-3144	179	22	s	s	NOUN
fuelectenerg-3144	179	23	is	be	AUX
fuelectenerg-3144	179	24	simply	simply	ADV
fuelectenerg-3144	179	25	cs(s	cs(	NOUN
fuelectenerg-3144	179	26	)	)	PUNCT
fuelectenerg-3144	179	27	;	;	PUNCT
fuelectenerg-3144	179	28	the	the	DET
fuelectenerg-3144	179	29	situation	situation	NOUN
fuelectenerg-3144	179	30	is	be	AUX
fuelectenerg-3144	179	31	analogous	analogous	ADJ
fuelectenerg-3144	179	32	for	for	ADP
fuelectenerg-3144	179	33	inputs	input	NOUN
fuelectenerg-3144	179	34	.	.	PUNCT
fuelectenerg-3144	180	1	finally	finally	ADV
fuelectenerg-3144	180	2	,	,	PUNCT
fuelectenerg-3144	180	3	we	we	PRON
fuelectenerg-3144	180	4	also	also	ADV
fuelectenerg-3144	180	5	use	use	VERB
fuelectenerg-3144	180	6	“	"	PUNCT
fuelectenerg-3144	180	7	encoding	encode	VERB
fuelectenerg-3144	180	8	”	"	PUNCT
fuelectenerg-3144	180	9	as	as	ADP
fuelectenerg-3144	180	10	a	a	DET
fuelectenerg-3144	180	11	verb	verb	NOUN
fuelectenerg-3144	180	12	to	to	PART
fuelectenerg-3144	180	13	mean	mean	VERB
fuelectenerg-3144	180	14	the	the	DET
fuelectenerg-3144	180	15	process	process	NOUN
fuelectenerg-3144	180	16	of	of	ADP
fuelectenerg-3144	180	17	selecting	select	VERB
fuelectenerg-3144	180	18	or	or	CCONJ
fuelectenerg-3144	180	19	generating	generate	VERB
fuelectenerg-3144	180	20	an	an	DET
fuelectenerg-3144	180	21	encoding	encoding	NOUN
fuelectenerg-3144	180	22	.	.	PUNCT
fuelectenerg-3144	181	1	thus	thus	ADV
fuelectenerg-3144	181	2	,	,	PUNCT
fuelectenerg-3144	181	3	we	we	PRON
fuelectenerg-3144	181	4	describe	describe	VERB
fuelectenerg-3144	181	5	the	the	DET
fuelectenerg-3144	181	6	main	main	ADJ
fuelectenerg-3144	181	7	objective	objective	NOUN
fuelectenerg-3144	181	8	of	of	ADP
fuelectenerg-3144	181	9	this	this	DET
fuelectenerg-3144	181	10	paper	paper	NOUN
fuelectenerg-3144	181	11	as	as	ADP
fuelectenerg-3144	181	12	solving	solve	VERB
fuelectenerg-3144	181	13	an	an	DET
fuelectenerg-3144	181	14	fsm	fsm	PROPN
fuelectenerg-3144	181	15	encoding	encoding	NOUN
fuelectenerg-3144	181	16	problem	problem	NOUN
fuelectenerg-3144	181	17	.	.	PUNCT
fuelectenerg-3144	182	1	from	from	ADP
fuelectenerg-3144	182	2	now	now	ADV
fuelectenerg-3144	182	3	on	on	ADV
fuelectenerg-3144	182	4	,	,	PUNCT
fuelectenerg-3144	182	5	when	when	SCONJ
fuelectenerg-3144	182	6	considering	consider	VERB
fuelectenerg-3144	182	7	a	a	DET
fuelectenerg-3144	182	8	digital	digital	ADJ
fuelectenerg-3144	182	9	logic	logic	NOUN
fuelectenerg-3144	182	10	circuit	circuit	NOUN
fuelectenerg-3144	182	11	implementation	implementation	NOUN
fuelectenerg-3144	182	12	of	of	ADP
fuelectenerg-3144	182	13	an	an	DET
fuelectenerg-3144	182	14	fsm	fsm	PROPN
fuelectenerg-3144	182	15	,	,	PUNCT
fuelectenerg-3144	182	16	we	we	PRON
fuelectenerg-3144	182	17	will	will	AUX
fuelectenerg-3144	182	18	follow	follow	VERB
fuelectenerg-3144	182	19	the	the	DET
fuelectenerg-3144	182	20	common	common	ADJ
fuelectenerg-3144	182	21	convention	convention	NOUN
fuelectenerg-3144	182	22	of	of	ADP
fuelectenerg-3144	182	23	using	use	VERB
fuelectenerg-3144	182	24	qi	qi	PRON
fuelectenerg-3144	182	25	to	to	PART
fuelectenerg-3144	182	26	denote	denote	VERB
fuelectenerg-3144	182	27	the	the	DET
fuelectenerg-3144	182	28	state	state	NOUN
fuelectenerg-3144	182	29	of	of	ADP
fuelectenerg-3144	182	30	the	the	DET
fuelectenerg-3144	182	31	ith	ith	PROPN
fuelectenerg-3144	182	32	flip	flip	NOUN
fuelectenerg-3144	182	33	-	-	PUNCT
fuelectenerg-3144	182	34	flop	flop	NOUN
fuelectenerg-3144	182	35	at	at	ADP
fuelectenerg-3144	182	36	a	a	DET
fuelectenerg-3144	182	37	given	give	VERB
fuelectenerg-3144	182	38	point	point	NOUN
fuelectenerg-3144	182	39	in	in	ADP
fuelectenerg-3144	182	40	time	time	NOUN
fuelectenerg-3144	182	41	.	.	PUNCT
fuelectenerg-3144	183	1	we	we	PRON
fuelectenerg-3144	183	2	will	will	AUX
fuelectenerg-3144	183	3	also	also	ADV
fuelectenerg-3144	183	4	use	use	VERB
fuelectenerg-3144	183	5	xj	xj	PROPN
fuelectenerg-3144	183	6	to	to	PART
fuelectenerg-3144	183	7	represent	represent	VERB
fuelectenerg-3144	183	8	the	the	DET
fuelectenerg-3144	183	9	value	value	NOUN
fuelectenerg-3144	183	10	on	on	ADP
fuelectenerg-3144	183	11	the	the	DET
fuelectenerg-3144	183	12	jth	jth	PROPN
fuelectenerg-3144	183	13	input	input	PROPN
fuelectenerg-3144	183	14	wire	wire	NOUN
fuelectenerg-3144	183	15	at	at	ADP
fuelectenerg-3144	183	16	a	a	DET
fuelectenerg-3144	183	17	given	give	VERB
fuelectenerg-3144	183	18	point	point	NOUN
fuelectenerg-3144	183	19	in	in	ADP
fuelectenerg-3144	183	20	time	time	NOUN
fuelectenerg-3144	183	21	.	.	PUNCT
fuelectenerg-3144	184	1	we	we	PRON
fuelectenerg-3144	184	2	refer	refer	VERB
fuelectenerg-3144	184	3	to	to	ADP
fuelectenerg-3144	184	4	the	the	DET
fuelectenerg-3144	184	5	variables	variables	PROPN
fuelectenerg-3144	184	6	q1	q1	PROPN
fuelectenerg-3144	184	7	through	through	ADP
fuelectenerg-3144	184	8	qn	qn	NOUN
fuelectenerg-3144	184	9	as	as	ADP
fuelectenerg-3144	184	10	state	state	NOUN
fuelectenerg-3144	184	11	variables	variable	NOUN
fuelectenerg-3144	184	12	and	and	CCONJ
fuelectenerg-3144	184	13	the	the	DET
fuelectenerg-3144	184	14	variables	variable	NOUN
fuelectenerg-3144	184	15	x1	x1	PROPN
fuelectenerg-3144	184	16	through	through	ADP
fuelectenerg-3144	184	17	xm	xm	PROPN
fuelectenerg-3144	184	18	as	as	ADP
fuelectenerg-3144	184	19	input	input	NOUN
fuelectenerg-3144	184	20	variables	variable	NOUN
fuelectenerg-3144	184	21	.	.	PUNCT
fuelectenerg-3144	185	1	figure	figure	NOUN
fuelectenerg-3144	185	2	1	1	NUM
fuelectenerg-3144	185	3	illustrates	illustrate	VERB
fuelectenerg-3144	185	4	this	this	DET
fuelectenerg-3144	185	5	notation	notation	NOUN
fuelectenerg-3144	185	6	in	in	ADP
fuelectenerg-3144	185	7	the	the	DET
fuelectenerg-3144	185	8	context	context	NOUN
fuelectenerg-3144	185	9	of	of	ADP
fuelectenerg-3144	185	10	a	a	DET
fuelectenerg-3144	185	11	digital	digital	ADJ
fuelectenerg-3144	185	12	logic	logic	NOUN
fuelectenerg-3144	185	13	circuit	circuit	NOUN
fuelectenerg-3144	185	14	that	that	PRON
fuelectenerg-3144	185	15	implements	implement	VERB
fuelectenerg-3144	185	16	an	an	DET
fuelectenerg-3144	185	17	fsm	fsm	PROPN
fuelectenerg-3144	185	18	.	.	PUNCT
fuelectenerg-3144	186	1	we	we	PRON
fuelectenerg-3144	186	2	distinguish	distinguish	VERB
fuelectenerg-3144	186	3	carefully	carefully	ADV
fuelectenerg-3144	186	4	between	between	ADP
fuelectenerg-3144	186	5	input	input	NOUN
fuelectenerg-3144	186	6	values	value	NOUN
fuelectenerg-3144	186	7	,	,	PUNCT
fuelectenerg-3144	186	8	which	which	PRON
fuelectenerg-3144	186	9	are	be	AUX
fuelectenerg-3144	186	10	the	the	DET
fuelectenerg-3144	186	11	symbolic	symbolic	ADJ
fuelectenerg-3144	186	12	inputs	input	NOUN
fuelectenerg-3144	186	13	of	of	ADP
fuelectenerg-3144	186	14	an	an	DET
fuelectenerg-3144	186	15	fsm	fsm	NOUN
fuelectenerg-3144	186	16	and	and	CCONJ
fuelectenerg-3144	186	17	elements	element	NOUN
fuelectenerg-3144	186	18	of	of	ADP
fuelectenerg-3144	186	19	the	the	DET
fuelectenerg-3144	186	20	set	set	NOUN
fuelectenerg-3144	186	21	i	i	PROPN
fuelectenerg-3144	186	22	,	,	PUNCT
fuelectenerg-3144	186	23	and	and	CCONJ
fuelectenerg-3144	186	24	input	input	NOUN
fuelectenerg-3144	186	25	variables	variable	NOUN
fuelectenerg-3144	186	26	,	,	PUNCT
fuelectenerg-3144	186	27	which	which	PRON
fuelectenerg-3144	186	28	are	be	AUX
fuelectenerg-3144	186	29	the	the	DET
fuelectenerg-3144	186	30	boolean	boolean	ADJ
fuelectenerg-3144	186	31	variables	variable	NOUN
fuelectenerg-3144	186	32	x1	x1	PROPN
fuelectenerg-3144	186	33	through	through	ADP
fuelectenerg-3144	186	34	xm	xm	PROPN
fuelectenerg-3144	186	35	used	use	VERB
fuelectenerg-3144	186	36	in	in	ADP
fuelectenerg-3144	186	37	a	a	DET
fuelectenerg-3144	186	38	digital	digital	ADJ
fuelectenerg-3144	186	39	logic	logic	NOUN
fuelectenerg-3144	186	40	circuit	circuit	NOUN
fuelectenerg-3144	186	41	to	to	PART
fuelectenerg-3144	186	42	represent	represent	VERB
fuelectenerg-3144	186	43	input	input	NOUN
fuelectenerg-3144	186	44	values	value	NOUN
fuelectenerg-3144	186	45	.	.	PUNCT
fuelectenerg-3144	187	1	similarly	similarly	ADV
fuelectenerg-3144	187	2	,	,	PUNCT
fuelectenerg-3144	187	3	we	we	PRON
fuelectenerg-3144	187	4	also	also	ADV
fuelectenerg-3144	187	5	distinguish	distinguish	VERB
fuelectenerg-3144	187	6	between	between	ADP
fuelectenerg-3144	187	7	states	state	NOUN
fuelectenerg-3144	187	8	and	and	CCONJ
fuelectenerg-3144	187	9	state	state	NOUN
fuelectenerg-3144	187	10	variables	variable	NOUN
fuelectenerg-3144	187	11	—	—	PUNCT
fuelectenerg-3144	187	12	states	state	NOUN
fuelectenerg-3144	187	13	are	be	AUX
fuelectenerg-3144	187	14	the	the	DET
fuelectenerg-3144	187	15	symbolic	symbolic	ADJ
fuelectenerg-3144	187	16	internal	internal	ADJ
fuelectenerg-3144	187	17	states	state	NOUN
fuelectenerg-3144	187	18	of	of	ADP
fuelectenerg-3144	187	19	an	an	DET
fuelectenerg-3144	187	20	fsm	fsm	NOUN
fuelectenerg-3144	187	21	and	and	CCONJ
fuelectenerg-3144	187	22	elements	element	NOUN
fuelectenerg-3144	187	23	of	of	ADP
fuelectenerg-3144	187	24	the	the	DET
fuelectenerg-3144	187	25	set	set	NOUN
fuelectenerg-3144	187	26	s	s	PROPN
fuelectenerg-3144	187	27	,	,	PUNCT
fuelectenerg-3144	187	28	while	while	SCONJ
fuelectenerg-3144	187	29	state	state	NOUN
fuelectenerg-3144	187	30	variables	variable	NOUN
fuelectenerg-3144	187	31	are	be	AUX
fuelectenerg-3144	187	32	the	the	DET
fuelectenerg-3144	187	33	variables	variables	PROPN
fuelectenerg-3144	187	34	q1	q1	PROPN
fuelectenerg-3144	187	35	through	through	ADP
fuelectenerg-3144	187	36	qn	qn	NOUN
fuelectenerg-3144	187	37	that	that	DET
fuelectenerg-3144	187	38	correspond	correspond	NOUN
fuelectenerg-3144	187	39	to	to	ADP
fuelectenerg-3144	187	40	the	the	DET
fuelectenerg-3144	187	41	states	state	NOUN
fuelectenerg-3144	187	42	of	of	ADP
fuelectenerg-3144	187	43	individual	individual	ADJ
fuelectenerg-3144	187	44	flip	flip	NOUN
fuelectenerg-3144	187	45	-	-	PUNCT
fuelectenerg-3144	187	46	flops	flop	NOUN
fuelectenerg-3144	187	47	and	and	CCONJ
fuelectenerg-3144	187	48	together	together	ADV
fuelectenerg-3144	187	49	represent	represent	VERB
fuelectenerg-3144	187	50	the	the	DET
fuelectenerg-3144	187	51	symbolic	symbolic	ADJ
fuelectenerg-3144	187	52	state	state	NOUN
fuelectenerg-3144	187	53	.	.	PUNCT
fuelectenerg-3144	188	1	to	to	PART
fuelectenerg-3144	188	2	help	help	VERB
fuelectenerg-3144	188	3	avoid	avoid	VERB
fuelectenerg-3144	188	4	confusion	confusion	NOUN
fuelectenerg-3144	188	5	,	,	PUNCT
fuelectenerg-3144	188	6	we	we	PRON
fuelectenerg-3144	188	7	will	will	AUX
fuelectenerg-3144	188	8	always	always	ADV
fuelectenerg-3144	188	9	follow	follow	VERB
fuelectenerg-3144	188	10	a	a	DET
fuelectenerg-3144	188	11	consistent	consistent	ADJ
fuelectenerg-3144	188	12	notational	notational	ADJ
fuelectenerg-3144	188	13	convention	convention	NOUN
fuelectenerg-3144	188	14	where	where	SCONJ
fuelectenerg-3144	188	15	,	,	PUNCT
fuelectenerg-3144	188	16	in	in	ADP
fuelectenerg-3144	188	17	addition	addition	NOUN
fuelectenerg-3144	188	18	to	to	ADP
fuelectenerg-3144	188	19	using	use	VERB
fuelectenerg-3144	188	20	qi	qi	PROPN
fuelectenerg-3144	188	21	and	and	CCONJ
fuelectenerg-3144	188	22	xj	xj	PROPN
fuelectenerg-3144	188	23	for	for	ADP
fuelectenerg-3144	188	24	states	state	NOUN
fuelectenerg-3144	188	25	and	and	CCONJ
fuelectenerg-3144	188	26	input	input	NOUN
fuelectenerg-3144	188	27	values	value	NOUN
fuelectenerg-3144	188	28	respectively	respectively	ADV
fuelectenerg-3144	188	29	,	,	PUNCT
fuelectenerg-3144	188	30	we	we	PRON
fuelectenerg-3144	188	31	also	also	ADV
fuelectenerg-3144	188	32	use	use	VERB
fuelectenerg-3144	188	33	s	s	NOUN
fuelectenerg-3144	188	34	or	or	CCONJ
fuelectenerg-3144	188	35	s1	s1	NOUN
fuelectenerg-3144	188	36	,	,	PUNCT
fuelectenerg-3144	188	37	s2	s2	PROPN
fuelectenerg-3144	188	38	,	,	PUNCT
fuelectenerg-3144	188	39	etc	etc	X
fuelectenerg-3144	188	40	.	.	X
fuelectenerg-3144	188	41	to	to	PART
fuelectenerg-3144	188	42	represent	represent	VERB
fuelectenerg-3144	188	43	states	state	NOUN
fuelectenerg-3144	188	44	and	and	CCONJ
fuelectenerg-3144	188	45	i	i	PROPN
fuelectenerg-3144	188	46	,	,	PUNCT
fuelectenerg-3144	188	47	i1	i1	PROPN
fuelectenerg-3144	188	48	,	,	PUNCT
fuelectenerg-3144	188	49	i2	i2	PROPN
fuelectenerg-3144	188	50	,	,	PUNCT
fuelectenerg-3144	188	51	etc	etc	X
fuelectenerg-3144	188	52	.	.	X
fuelectenerg-3144	188	53	to	to	PART
fuelectenerg-3144	188	54	represent	represent	VERB
fuelectenerg-3144	188	55	input	input	NOUN
fuelectenerg-3144	188	56	values	value	NOUN
fuelectenerg-3144	188	57	.	.	PUNCT
fuelectenerg-3144	189	1	in	in	ADP
fuelectenerg-3144	189	2	the	the	DET
fuelectenerg-3144	189	3	context	context	NOUN
fuelectenerg-3144	189	4	of	of	ADP
fuelectenerg-3144	189	5	an	an	DET
fuelectenerg-3144	189	6	fsm	fsm	PROPN
fuelectenerg-3144	189	7	,	,	PUNCT
fuelectenerg-3144	189	8	the	the	DET
fuelectenerg-3144	189	9	word	word	NOUN
fuelectenerg-3144	189	10	“	"	PUNCT
fuelectenerg-3144	189	11	input	input	NOUN
fuelectenerg-3144	189	12	”	"	PUNCT
fuelectenerg-3144	189	13	without	without	ADP
fuelectenerg-3144	189	14	further	further	ADJ
fuelectenerg-3144	189	15	qualification	qualification	NOUN
fuelectenerg-3144	189	16	will	will	AUX
fuelectenerg-3144	189	17	always	always	ADV
fuelectenerg-3144	189	18	refer	refer	VERB
fuelectenerg-3144	189	19	to	to	ADP
fuelectenerg-3144	189	20	an	an	DET
fuelectenerg-3144	189	21	input	input	NOUN
fuelectenerg-3144	189	22	value	value	NOUN
fuelectenerg-3144	189	23	and	and	CCONJ
fuelectenerg-3144	189	24	not	not	PART
fuelectenerg-3144	189	25	an	an	DET
fuelectenerg-3144	189	26	input	input	NOUN
fuelectenerg-3144	189	27	variable	variable	NOUN
fuelectenerg-3144	189	28	.	.	PUNCT
fuelectenerg-3144	190	1	a	a	DET
fuelectenerg-3144	190	2	state	state	NOUN
fuelectenerg-3144	190	3	encoding	encoding	NOUN
fuelectenerg-3144	190	4	may	may	AUX
fuelectenerg-3144	190	5	be	be	AUX
fuelectenerg-3144	190	6	bijective	bijective	ADJ
fuelectenerg-3144	190	7	,	,	PUNCT
fuelectenerg-3144	190	8	that	that	ADV
fuelectenerg-3144	190	9	is	is	ADV
fuelectenerg-3144	190	10	,	,	PUNCT
fuelectenerg-3144	190	11	each	each	DET
fuelectenerg-3144	190	12	flip	flip	NOUN
fuelectenerg-3144	190	13	-	-	PUNCT
fuelectenerg-3144	190	14	flop	flop	NOUN
fuelectenerg-3144	190	15	array	array	NOUN
fuelectenerg-3144	190	16	state	state	NOUN
fuelectenerg-3144	190	17	represents	represent	VERB
fuelectenerg-3144	190	18	exactly	exactly	ADV
fuelectenerg-3144	190	19	one	one	NUM
fuelectenerg-3144	190	20	fsm	fsm	PROPN
fuelectenerg-3144	190	21	state	state	NOUN
fuelectenerg-3144	190	22	,	,	PUNCT
fuelectenerg-3144	190	23	or	or	CCONJ
fuelectenerg-3144	190	24	it	it	PRON
fuelectenerg-3144	190	25	may	may	AUX
fuelectenerg-3144	190	26	not	not	PART
fuelectenerg-3144	190	27	.	.	PUNCT
fuelectenerg-3144	191	1	non	non	ADJ
fuelectenerg-3144	191	2	-	-	ADJ
fuelectenerg-3144	191	3	bijective	bijective	ADJ
fuelectenerg-3144	191	4	encodings	encoding	NOUN
fuelectenerg-3144	191	5	might	might	AUX
fuelectenerg-3144	191	6	arise	arise	VERB
fuelectenerg-3144	191	7	(	(	PUNCT
fuelectenerg-3144	191	8	for	for	ADP
fuelectenerg-3144	191	9	instance	instance	NOUN
fuelectenerg-3144	191	10	)	)	PUNCT
fuelectenerg-3144	191	11	if	if	SCONJ
fuelectenerg-3144	191	12	the	the	DET
fuelectenerg-3144	191	13	number	number	NOUN
fuelectenerg-3144	191	14	of	of	ADP
fuelectenerg-3144	191	15	possible	possible	ADJ
fuelectenerg-3144	191	16	flip	flip	NOUN
fuelectenerg-3144	191	17	-	-	PUNCT
fuelectenerg-3144	191	18	flop	flop	NOUN
fuelectenerg-3144	191	19	array	array	NOUN
fuelectenerg-3144	191	20	states	state	NOUN
fuelectenerg-3144	191	21	is	be	AUX
fuelectenerg-3144	191	22	greater	great	ADJ
fuelectenerg-3144	191	23	than	than	ADP
fuelectenerg-3144	191	24	the	the	DET
fuelectenerg-3144	191	25	number	number	NOUN
fuelectenerg-3144	191	26	of	of	ADP
fuelectenerg-3144	191	27	fsm	fsm	PROPN
fuelectenerg-3144	191	28	states	state	NOUN
fuelectenerg-3144	191	29	,	,	PUNCT
fuelectenerg-3144	191	30	in	in	ADP
fuelectenerg-3144	191	31	which	which	DET
fuelectenerg-3144	191	32	case	case	NOUN
fuelectenerg-3144	191	33	some	some	PRON
fuelectenerg-3144	191	34	of	of	ADP
fuelectenerg-3144	191	35	the	the	DET
fuelectenerg-3144	191	36	possible	possible	ADJ
fuelectenerg-3144	191	37	flip	flip	NOUN
fuelectenerg-3144	191	38	-	-	PUNCT
fuelectenerg-3144	191	39	flop	flop	NOUN
fuelectenerg-3144	191	40	states	state	NOUN
fuelectenerg-3144	191	41	will	will	AUX
fuelectenerg-3144	191	42	not	not	PART
fuelectenerg-3144	191	43	represent	represent	VERB
fuelectenerg-3144	191	44	any	any	DET
fuelectenerg-3144	191	45	fsm	fsm	PROPN
fuelectenerg-3144	191	46	state	state	NOUN
fuelectenerg-3144	191	47	at	at	ADV
fuelectenerg-3144	191	48	all	all	ADV
fuelectenerg-3144	191	49	.	.	PUNCT
fuelectenerg-3144	192	1	similarly	similarly	ADV
fuelectenerg-3144	192	2	,	,	PUNCT
fuelectenerg-3144	192	3	input	input	NOUN
fuelectenerg-3144	192	4	encodings	encoding	NOUN
fuelectenerg-3144	192	5	may	may	AUX
fuelectenerg-3144	192	6	also	also	ADV
fuelectenerg-3144	192	7	be	be	AUX
fuelectenerg-3144	192	8	bijective	bijective	ADJ
fuelectenerg-3144	192	9	,	,	PUNCT
fuelectenerg-3144	192	10	or	or	CCONJ
fuelectenerg-3144	192	11	not	not	PART
fuelectenerg-3144	192	12	.	.	PUNCT
fuelectenerg-3144	193	1	for	for	ADP
fuelectenerg-3144	193	2	a	a	DET
fuelectenerg-3144	193	3	bijective	bijective	ADJ
fuelectenerg-3144	193	4	input	input	NOUN
fuelectenerg-3144	193	5	encoding	encoding	NOUN
fuelectenerg-3144	193	6	,	,	PUNCT
fuelectenerg-3144	193	7	each	each	DET
fuelectenerg-3144	193	8	possible	possible	ADJ
fuelectenerg-3144	193	9	combination	combination	NOUN
fuelectenerg-3144	193	10	of	of	ADP
fuelectenerg-3144	193	11	assignments	assignment	NOUN
fuelectenerg-3144	193	12	to	to	PART
fuelectenerg-3144	193	13	input	input	VERB
fuelectenerg-3144	193	14	variables	variable	NOUN
fuelectenerg-3144	193	15	corresponds	correspond	VERB
fuelectenerg-3144	193	16	to	to	ADP
fuelectenerg-3144	193	17	exactly	exactly	ADV
fuelectenerg-3144	193	18	one	one	NUM
fuelectenerg-3144	193	19	input	input	NOUN
fuelectenerg-3144	193	20	value	value	NOUN
fuelectenerg-3144	193	21	.	.	PUNCT
fuelectenerg-3144	194	1	we	we	PRON
fuelectenerg-3144	194	2	say	say	VERB
fuelectenerg-3144	194	3	that	that	SCONJ
fuelectenerg-3144	194	4	an	an	DET
fuelectenerg-3144	194	5	encoding	encoding	NOUN
fuelectenerg-3144	194	6	(	(	PUNCT
fuelectenerg-3144	194	7	the	the	DET
fuelectenerg-3144	194	8	combination	combination	NOUN
fuelectenerg-3144	194	9	of	of	ADP
fuelectenerg-3144	194	10	both	both	DET
fuelectenerg-3144	194	11	state	state	NOUN
fuelectenerg-3144	194	12	and	and	CCONJ
fuelectenerg-3144	194	13	input	input	NOUN
fuelectenerg-3144	194	14	encodings	encoding	NOUN
fuelectenerg-3144	194	15	)	)	PUNCT
fuelectenerg-3144	194	16	is	be	AUX
fuelectenerg-3144	194	17	bijective	bijective	ADJ
fuelectenerg-3144	194	18	if	if	SCONJ
fuelectenerg-3144	194	19	both	both	CCONJ
fuelectenerg-3144	194	20	the	the	DET
fuelectenerg-3144	194	21	state	state	NOUN
fuelectenerg-3144	194	22	and	and	CCONJ
fuelectenerg-3144	194	23	input	input	NOUN
fuelectenerg-3144	194	24	encodings	encoding	NOUN
fuelectenerg-3144	194	25	are	be	AUX
fuelectenerg-3144	194	26	bijective	bijective	ADJ
fuelectenerg-3144	194	27	.	.	PUNCT
fuelectenerg-3144	195	1	if	if	SCONJ
fuelectenerg-3144	195	2	an	an	DET
fuelectenerg-3144	195	3	encoding	encoding	NOUN
fuelectenerg-3144	195	4	is	be	AUX
fuelectenerg-3144	195	5	bijective	bijective	ADJ
fuelectenerg-3144	195	6	,	,	PUNCT
fuelectenerg-3144	195	7	then	then	ADV
fuelectenerg-3144	195	8	any	any	DET
fuelectenerg-3144	195	9	combination	combination	NOUN
fuelectenerg-3144	195	10	of	of	ADP
fuelectenerg-3144	195	11	assignments	assignment	NOUN
fuelectenerg-3144	195	12	to	to	ADP
fuelectenerg-3144	195	13	the	the	DET
fuelectenerg-3144	195	14	4	4	NUM
fuelectenerg-3144	195	15	d1	d1	PROPN
fuelectenerg-3144	195	16	q1	q1	PROPN
fuelectenerg-3144	195	17	d2	d2	PROPN
fuelectenerg-3144	195	18	q2	q2	PROPN
fuelectenerg-3144	195	19	dn	dn	PROPN
fuelectenerg-3144	195	20	qn	qn	PROPN
fuelectenerg-3144	195	21	δ1(q1	δ1(q1	PROPN
fuelectenerg-3144	195	22	,	,	PUNCT
fuelectenerg-3144	195	23	.	.	PUNCT
fuelectenerg-3144	195	24	.	.	PUNCT
fuelectenerg-3144	196	1	.	.	PUNCT
fuelectenerg-3144	197	1	,	,	PUNCT
fuelectenerg-3144	197	2	qn	qn	INTJ
fuelectenerg-3144	197	3	,	,	PUNCT
fuelectenerg-3144	197	4	x1	x1	PROPN
fuelectenerg-3144	197	5	,	,	PUNCT
fuelectenerg-3144	197	6	.	.	PUNCT
fuelectenerg-3144	197	7	.	.	PUNCT
fuelectenerg-3144	198	1	.	.	PUNCT
fuelectenerg-3144	199	1	,	,	PUNCT
fuelectenerg-3144	199	2	xm	xm	X
fuelectenerg-3144	199	3	)	)	PUNCT
fuelectenerg-3144	199	4	δ2(q1	δ2(q1	NOUN
fuelectenerg-3144	199	5	,	,	PUNCT
fuelectenerg-3144	199	6	.	.	PUNCT
fuelectenerg-3144	199	7	.	.	PUNCT
fuelectenerg-3144	200	1	.	.	PUNCT
fuelectenerg-3144	201	1	,	,	PUNCT
fuelectenerg-3144	201	2	qn	qn	INTJ
fuelectenerg-3144	201	3	,	,	PUNCT
fuelectenerg-3144	201	4	x1	x1	PROPN
fuelectenerg-3144	201	5	,	,	PUNCT
fuelectenerg-3144	201	6	.	.	PUNCT
fuelectenerg-3144	201	7	.	.	PUNCT
fuelectenerg-3144	202	1	.	.	PUNCT
fuelectenerg-3144	203	1	,	,	PUNCT
fuelectenerg-3144	203	2	xm	xm	PROPN
fuelectenerg-3144	203	3	)	)	PUNCT
fuelectenerg-3144	203	4	δn(q1	δn(q1	NOUN
fuelectenerg-3144	203	5	,	,	PUNCT
fuelectenerg-3144	203	6	.	.	PUNCT
fuelectenerg-3144	203	7	.	.	PUNCT
fuelectenerg-3144	204	1	.	.	PUNCT
fuelectenerg-3144	205	1	,	,	PUNCT
fuelectenerg-3144	205	2	qn	qn	INTJ
fuelectenerg-3144	205	3	,	,	PUNCT
fuelectenerg-3144	205	4	x1	x1	PROPN
fuelectenerg-3144	205	5	,	,	PUNCT
fuelectenerg-3144	205	6	.	.	PUNCT
fuelectenerg-3144	205	7	.	.	PUNCT
fuelectenerg-3144	206	1	.	.	PUNCT
fuelectenerg-3144	207	1	,	,	PUNCT
fuelectenerg-3144	207	2	xm	xm	PROPN
fuelectenerg-3144	207	3	)	)	PUNCT
fuelectenerg-3144	208	1	x1	x1	PROPN
fuelectenerg-3144	208	2	xm	xm	PROPN
fuelectenerg-3144	208	3	figure	figure	NOUN
fuelectenerg-3144	208	4	1	1	NUM
fuelectenerg-3144	208	5	:	:	PUNCT
fuelectenerg-3144	208	6	general	general	ADJ
fuelectenerg-3144	208	7	structure	structure	NOUN
fuelectenerg-3144	208	8	of	of	ADP
fuelectenerg-3144	208	9	an	an	DET
fuelectenerg-3144	208	10	fsm	fsm	PROPN
fuelectenerg-3144	208	11	implemented	implement	VERB
fuelectenerg-3144	208	12	as	as	ADP
fuelectenerg-3144	208	13	a	a	DET
fuelectenerg-3144	208	14	digital	digital	ADJ
fuelectenerg-3144	208	15	logic	logic	NOUN
fuelectenerg-3144	208	16	circuit	circuit	NOUN
fuelectenerg-3144	208	17	;	;	PUNCT
fuelectenerg-3144	208	18	output	output	NOUN
fuelectenerg-3144	208	19	logic	logic	NOUN
fuelectenerg-3144	208	20	not	not	PART
fuelectenerg-3144	208	21	shown	show	VERB
fuelectenerg-3144	208	22	.	.	PUNCT
fuelectenerg-3144	209	1	5	5	NUM
fuelectenerg-3144	209	2	172	172	NUM
fuelectenerg-3144	209	3	e.	e.	PROPN
fuelectenerg-3144	209	4	tsai	tsai	PROPN
fuelectenerg-3144	209	5	,	,	PUNCT
fuelectenerg-3144	209	6	m.	m.	PROPN
fuelectenerg-3144	209	7	perkowski	perkowski	PROPN
fuelectenerg-3144	209	8	a	a	DET
fuelectenerg-3144	209	9	quantum	quantum	ADJ
fuelectenerg-3144	209	10	algorithm	algorithm	NOUN
fuelectenerg-3144	209	11	for	for	ADP
fuelectenerg-3144	209	12	automata	automata	NOUN
fuelectenerg-3144	209	13	encoding	encode	VERB
fuelectenerg-3144	209	14	173	173	NUM
fuelectenerg-3144	209	15	variables	variable	NOUN
fuelectenerg-3144	209	16	q1	q1	PROPN
fuelectenerg-3144	209	17	through	through	ADP
fuelectenerg-3144	209	18	qn	qn	PROPN
fuelectenerg-3144	209	19	and	and	CCONJ
fuelectenerg-3144	209	20	x1	x1	PROPN
fuelectenerg-3144	209	21	through	through	ADP
fuelectenerg-3144	209	22	xm	xm	PROPN
fuelectenerg-3144	209	23	corresponds	correspond	VERB
fuelectenerg-3144	209	24	to	to	ADP
fuelectenerg-3144	209	25	a	a	DET
fuelectenerg-3144	209	26	unique	unique	ADJ
fuelectenerg-3144	209	27	state	state	NOUN
fuelectenerg-3144	209	28	and	and	CCONJ
fuelectenerg-3144	209	29	input	input	NOUN
fuelectenerg-3144	209	30	value	value	NOUN
fuelectenerg-3144	209	31	of	of	ADP
fuelectenerg-3144	209	32	the	the	DET
fuelectenerg-3144	209	33	fsm	fsm	PROPN
fuelectenerg-3144	209	34	.	.	PUNCT
fuelectenerg-3144	210	1	therefore	therefore	ADV
fuelectenerg-3144	210	2	,	,	PUNCT
fuelectenerg-3144	210	3	the	the	DET
fuelectenerg-3144	210	4	next	next	ADJ
fuelectenerg-3144	210	5	state	state	NOUN
fuelectenerg-3144	210	6	is	be	AUX
fuelectenerg-3144	210	7	also	also	ADV
fuelectenerg-3144	210	8	uniquely	uniquely	ADV
fuelectenerg-3144	210	9	determined	determine	VERB
fuelectenerg-3144	210	10	by	by	ADP
fuelectenerg-3144	210	11	the	the	DET
fuelectenerg-3144	210	12	transition	transition	NOUN
fuelectenerg-3144	210	13	function	function	NOUN
fuelectenerg-3144	210	14	δ	δ	PROPN
fuelectenerg-3144	210	15	.	.	PUNCT
fuelectenerg-3144	211	1	in	in	ADP
fuelectenerg-3144	211	2	this	this	DET
fuelectenerg-3144	211	3	case	case	NOUN
fuelectenerg-3144	211	4	,	,	PUNCT
fuelectenerg-3144	211	5	we	we	PRON
fuelectenerg-3144	211	6	define	define	VERB
fuelectenerg-3144	211	7	a	a	DET
fuelectenerg-3144	211	8	collection	collection	NOUN
fuelectenerg-3144	211	9	of	of	ADP
fuelectenerg-3144	211	10	encoded	encode	VERB
fuelectenerg-3144	211	11	transition	transition	NOUN
fuelectenerg-3144	211	12	functions	function	NOUN
fuelectenerg-3144	211	13	δ1	δ1	NOUN
fuelectenerg-3144	211	14	through	through	ADP
fuelectenerg-3144	211	15	δn	δn	NOUN
fuelectenerg-3144	211	16	,	,	PUNCT
fuelectenerg-3144	211	17	where	where	SCONJ
fuelectenerg-3144	211	18	δi	δi	PROPN
fuelectenerg-3144	211	19	represents	represent	VERB
fuelectenerg-3144	211	20	the	the	DET
fuelectenerg-3144	211	21	next	next	ADJ
fuelectenerg-3144	211	22	state	state	NOUN
fuelectenerg-3144	211	23	of	of	ADP
fuelectenerg-3144	211	24	the	the	DET
fuelectenerg-3144	211	25	ith	ith	PROPN
fuelectenerg-3144	211	26	flip	flip	NOUN
fuelectenerg-3144	211	27	-	-	PUNCT
fuelectenerg-3144	211	28	flop	flop	NOUN
fuelectenerg-3144	211	29	in	in	ADP
fuelectenerg-3144	211	30	terms	term	NOUN
fuelectenerg-3144	211	31	of	of	ADP
fuelectenerg-3144	211	32	the	the	DET
fuelectenerg-3144	211	33	variables	variables	PROPN
fuelectenerg-3144	211	34	q1	q1	PROPN
fuelectenerg-3144	211	35	through	through	ADP
fuelectenerg-3144	211	36	qn	qn	PROPN
fuelectenerg-3144	211	37	and	and	CCONJ
fuelectenerg-3144	211	38	x1	x1	NUM
fuelectenerg-3144	211	39	through	through	ADP
fuelectenerg-3144	211	40	xm	xm	PROPN
fuelectenerg-3144	211	41	.	.	PUNCT
fuelectenerg-3144	212	1	in	in	ADP
fuelectenerg-3144	212	2	other	other	ADJ
fuelectenerg-3144	212	3	words	word	NOUN
fuelectenerg-3144	212	4	,	,	PUNCT
fuelectenerg-3144	212	5	the	the	DET
fuelectenerg-3144	212	6	values	value	NOUN
fuelectenerg-3144	212	7	of	of	ADP
fuelectenerg-3144	212	8	q1	q1	PROPN
fuelectenerg-3144	212	9	through	through	ADP
fuelectenerg-3144	212	10	qn	qn	PROPN
fuelectenerg-3144	212	11	and	and	CCONJ
fuelectenerg-3144	212	12	x1	x1	PROPN
fuelectenerg-3144	212	13	through	through	ADP
fuelectenerg-3144	212	14	xm	xm	PROPN
fuelectenerg-3144	212	15	uniquely	uniquely	ADV
fuelectenerg-3144	212	16	determine	determine	VERB
fuelectenerg-3144	212	17	a	a	DET
fuelectenerg-3144	212	18	state	state	NOUN
fuelectenerg-3144	212	19	s	s	NOUN
fuelectenerg-3144	212	20	and	and	CCONJ
fuelectenerg-3144	212	21	input	input	NOUN
fuelectenerg-3144	212	22	value	value	NOUN
fuelectenerg-3144	212	23	i.	i.	NOUN
fuelectenerg-3144	212	24	if	if	SCONJ
fuelectenerg-3144	212	25	these	these	PRON
fuelectenerg-3144	212	26	are	be	AUX
fuelectenerg-3144	212	27	the	the	DET
fuelectenerg-3144	212	28	current	current	ADJ
fuelectenerg-3144	212	29	state	state	NOUN
fuelectenerg-3144	212	30	of	of	ADP
fuelectenerg-3144	212	31	and	and	CCONJ
fuelectenerg-3144	212	32	input	input	NOUN
fuelectenerg-3144	212	33	to	to	ADP
fuelectenerg-3144	212	34	the	the	DET
fuelectenerg-3144	212	35	fsm	fsm	PROPN
fuelectenerg-3144	212	36	,	,	PUNCT
fuelectenerg-3144	212	37	then	then	ADV
fuelectenerg-3144	212	38	the	the	DET
fuelectenerg-3144	212	39	next	next	ADJ
fuelectenerg-3144	212	40	state	state	NOUN
fuelectenerg-3144	212	41	of	of	ADP
fuelectenerg-3144	212	42	the	the	DET
fuelectenerg-3144	212	43	fsm	fsm	PROPN
fuelectenerg-3144	212	44	will	will	AUX
fuelectenerg-3144	212	45	be	be	AUX
fuelectenerg-3144	212	46	δ(s	δ(s	PROPN
fuelectenerg-3144	212	47	,	,	PUNCT
fuelectenerg-3144	212	48	i	i	NOUN
fuelectenerg-3144	212	49	)	)	PUNCT
fuelectenerg-3144	212	50	and	and	CCONJ
fuelectenerg-3144	212	51	the	the	DET
fuelectenerg-3144	212	52	encoding	encoding	NOUN
fuelectenerg-3144	212	53	of	of	ADP
fuelectenerg-3144	212	54	this	this	DET
fuelectenerg-3144	212	55	next	next	ADJ
fuelectenerg-3144	212	56	state	state	NOUN
fuelectenerg-3144	212	57	is	be	AUX
fuelectenerg-3144	212	58	cs(δ(s	cs(δ(s	PROPN
fuelectenerg-3144	212	59	,	,	PUNCT
fuelectenerg-3144	212	60	i	i	NOUN
fuelectenerg-3144	212	61	)	)	PUNCT
fuelectenerg-3144	212	62	)	)	PUNCT
fuelectenerg-3144	212	63	where	where	SCONJ
fuelectenerg-3144	212	64	cs	cs	PROPN
fuelectenerg-3144	212	65	is	be	AUX
fuelectenerg-3144	212	66	the	the	DET
fuelectenerg-3144	212	67	functional	functional	ADJ
fuelectenerg-3144	212	68	representation	representation	NOUN
fuelectenerg-3144	212	69	of	of	ADP
fuelectenerg-3144	212	70	a	a	DET
fuelectenerg-3144	212	71	state	state	NOUN
fuelectenerg-3144	212	72	encoding	encoding	NOUN
fuelectenerg-3144	212	73	as	as	ADP
fuelectenerg-3144	212	74	previously	previously	ADV
fuelectenerg-3144	212	75	described	describe	VERB
fuelectenerg-3144	212	76	.	.	PUNCT
fuelectenerg-3144	213	1	we	we	PRON
fuelectenerg-3144	213	2	then	then	ADV
fuelectenerg-3144	213	3	define	define	VERB
fuelectenerg-3144	213	4	δi(q1	δi(q1	NOUN
fuelectenerg-3144	213	5	,	,	PUNCT
fuelectenerg-3144	213	6	.	.	PUNCT
fuelectenerg-3144	213	7	.	.	PUNCT
fuelectenerg-3144	213	8	.	.	PUNCT
fuelectenerg-3144	214	1	,	,	PUNCT
fuelectenerg-3144	214	2	qn	qn	INTJ
fuelectenerg-3144	214	3	,	,	PUNCT
fuelectenerg-3144	214	4	x1	x1	PROPN
fuelectenerg-3144	214	5	,	,	PUNCT
fuelectenerg-3144	214	6	.	.	PUNCT
fuelectenerg-3144	214	7	.	.	PUNCT
fuelectenerg-3144	215	1	.	.	PUNCT
fuelectenerg-3144	216	1	,	,	PUNCT
fuelectenerg-3144	216	2	xm	xm	PROPN
fuelectenerg-3144	216	3	)	)	PUNCT
fuelectenerg-3144	216	4	to	to	PART
fuelectenerg-3144	216	5	be	be	AUX
fuelectenerg-3144	216	6	the	the	DET
fuelectenerg-3144	216	7	ith	ith	PROPN
fuelectenerg-3144	216	8	component	component	NOUN
fuelectenerg-3144	216	9	of	of	ADP
fuelectenerg-3144	216	10	cs(δ(s	cs(δ(s	PROPN
fuelectenerg-3144	216	11	,	,	PUNCT
fuelectenerg-3144	216	12	i	i	NOUN
fuelectenerg-3144	216	13	)	)	PUNCT
fuelectenerg-3144	216	14	)	)	PUNCT
fuelectenerg-3144	216	15	.	.	PUNCT
fuelectenerg-3144	217	1	encoded	encode	VERB
fuelectenerg-3144	217	2	transition	transition	NOUN
fuelectenerg-3144	217	3	functions	function	NOUN
fuelectenerg-3144	217	4	represent	represent	VERB
fuelectenerg-3144	217	5	the	the	DET
fuelectenerg-3144	217	6	computations	computation	NOUN
fuelectenerg-3144	217	7	to	to	PART
fuelectenerg-3144	217	8	be	be	AUX
fuelectenerg-3144	217	9	performed	perform	VERB
fuelectenerg-3144	217	10	by	by	ADP
fuelectenerg-3144	217	11	the	the	DET
fuelectenerg-3144	217	12	next	next	ADJ
fuelectenerg-3144	217	13	-	-	PUNCT
fuelectenerg-3144	217	14	state	state	NOUN
fuelectenerg-3144	217	15	logic	logic	NOUN
fuelectenerg-3144	217	16	in	in	ADP
fuelectenerg-3144	217	17	a	a	DET
fuelectenerg-3144	217	18	digital	digital	ADJ
fuelectenerg-3144	217	19	logic	logic	NOUN
fuelectenerg-3144	217	20	circuit	circuit	NOUN
fuelectenerg-3144	217	21	implementation	implementation	NOUN
fuelectenerg-3144	217	22	of	of	ADP
fuelectenerg-3144	217	23	an	an	DET
fuelectenerg-3144	217	24	fsm	fsm	PROPN
fuelectenerg-3144	217	25	.	.	PUNCT
fuelectenerg-3144	218	1	in	in	ADP
fuelectenerg-3144	218	2	other	other	ADJ
fuelectenerg-3144	218	3	words	word	NOUN
fuelectenerg-3144	218	4	,	,	PUNCT
fuelectenerg-3144	218	5	given	give	VERB
fuelectenerg-3144	218	6	a	a	DET
fuelectenerg-3144	218	7	particular	particular	ADJ
fuelectenerg-3144	218	8	state	state	NOUN
fuelectenerg-3144	218	9	encoding	encoding	NOUN
fuelectenerg-3144	218	10	for	for	ADP
fuelectenerg-3144	218	11	an	an	DET
fuelectenerg-3144	218	12	fsm	fsm	PROPN
fuelectenerg-3144	218	13	,	,	PUNCT
fuelectenerg-3144	218	14	each	each	DET
fuelectenerg-3144	218	15	encoded	encode	VERB
fuelectenerg-3144	218	16	transition	transition	NOUN
fuelectenerg-3144	218	17	function	function	NOUN
fuelectenerg-3144	218	18	gives	give	VERB
fuelectenerg-3144	218	19	the	the	DET
fuelectenerg-3144	218	20	next	next	ADJ
fuelectenerg-3144	218	21	state	state	NOUN
fuelectenerg-3144	218	22	of	of	ADP
fuelectenerg-3144	218	23	a	a	DET
fuelectenerg-3144	218	24	single	single	ADJ
fuelectenerg-3144	218	25	flip	flip	NOUN
fuelectenerg-3144	218	26	-	-	PUNCT
fuelectenerg-3144	218	27	flop	flop	NOUN
fuelectenerg-3144	218	28	in	in	ADP
fuelectenerg-3144	218	29	terms	term	NOUN
fuelectenerg-3144	218	30	of	of	ADP
fuelectenerg-3144	218	31	the	the	DET
fuelectenerg-3144	218	32	current	current	ADJ
fuelectenerg-3144	218	33	states	state	NOUN
fuelectenerg-3144	218	34	of	of	ADP
fuelectenerg-3144	218	35	all	all	DET
fuelectenerg-3144	218	36	flip	flip	NOUN
fuelectenerg-3144	218	37	-	-	PUNCT
fuelectenerg-3144	218	38	flops	flop	NOUN
fuelectenerg-3144	218	39	and	and	CCONJ
fuelectenerg-3144	218	40	the	the	DET
fuelectenerg-3144	218	41	current	current	ADJ
fuelectenerg-3144	218	42	input	input	NOUN
fuelectenerg-3144	218	43	.	.	PUNCT
fuelectenerg-3144	219	1	thus	thus	ADV
fuelectenerg-3144	219	2	,	,	PUNCT
fuelectenerg-3144	219	3	digital	digital	ADJ
fuelectenerg-3144	219	4	logic	logic	NOUN
fuelectenerg-3144	219	5	design	design	NOUN
fuelectenerg-3144	219	6	for	for	ADP
fuelectenerg-3144	219	7	an	an	DET
fuelectenerg-3144	219	8	fsm	fsm	NOUN
fuelectenerg-3144	219	9	involves	involve	VERB
fuelectenerg-3144	219	10	realizing	realize	VERB
fuelectenerg-3144	219	11	the	the	DET
fuelectenerg-3144	219	12	encoded	encode	VERB
fuelectenerg-3144	219	13	transition	transition	NOUN
fuelectenerg-3144	219	14	functions	function	NOUN
fuelectenerg-3144	219	15	as	as	ADP
fuelectenerg-3144	219	16	digital	digital	ADJ
fuelectenerg-3144	219	17	logic	logic	NOUN
fuelectenerg-3144	219	18	circuits	circuit	NOUN
fuelectenerg-3144	219	19	.	.	PUNCT
fuelectenerg-3144	220	1	figure	figure	VERB
fuelectenerg-3144	220	2	1	1	NUM
fuelectenerg-3144	220	3	graphically	graphically	ADV
fuelectenerg-3144	220	4	demonstrates	demonstrate	VERB
fuelectenerg-3144	220	5	this	this	DET
fuelectenerg-3144	220	6	relationship	relationship	NOUN
fuelectenerg-3144	220	7	between	between	ADP
fuelectenerg-3144	220	8	encoded	encode	VERB
fuelectenerg-3144	220	9	transition	transition	NOUN
fuelectenerg-3144	220	10	functions	function	NOUN
fuelectenerg-3144	220	11	and	and	CCONJ
fuelectenerg-3144	220	12	the	the	DET
fuelectenerg-3144	220	13	digital	digital	ADJ
fuelectenerg-3144	220	14	logic	logic	NOUN
fuelectenerg-3144	220	15	implementation	implementation	NOUN
fuelectenerg-3144	220	16	of	of	ADP
fuelectenerg-3144	220	17	an	an	DET
fuelectenerg-3144	220	18	fsm	fsm	PROPN
fuelectenerg-3144	220	19	.	.	PUNCT
fuelectenerg-3144	221	1	in	in	ADP
fuelectenerg-3144	221	2	the	the	DET
fuelectenerg-3144	221	3	remainder	remainder	NOUN
fuelectenerg-3144	221	4	of	of	ADP
fuelectenerg-3144	221	5	this	this	DET
fuelectenerg-3144	221	6	paper	paper	NOUN
fuelectenerg-3144	221	7	,	,	PUNCT
fuelectenerg-3144	221	8	we	we	PRON
fuelectenerg-3144	221	9	will	will	AUX
fuelectenerg-3144	221	10	concentrate	concentrate	VERB
fuelectenerg-3144	221	11	on	on	ADP
fuelectenerg-3144	221	12	evaluating	evaluate	VERB
fuelectenerg-3144	221	13	the	the	DET
fuelectenerg-3144	221	14	cost	cost	NOUN
fuelectenerg-3144	221	15	of	of	ADP
fuelectenerg-3144	221	16	realizing	realize	VERB
fuelectenerg-3144	221	17	encoded	encode	VERB
fuelectenerg-3144	221	18	transition	transition	NOUN
fuelectenerg-3144	221	19	functions	function	NOUN
fuelectenerg-3144	221	20	and	and	CCONJ
fuelectenerg-3144	221	21	how	how	SCONJ
fuelectenerg-3144	221	22	this	this	DET
fuelectenerg-3144	221	23	cost	cost	NOUN
fuelectenerg-3144	221	24	can	can	AUX
fuelectenerg-3144	221	25	be	be	AUX
fuelectenerg-3144	221	26	minimized	minimize	VERB
fuelectenerg-3144	221	27	.	.	PUNCT
fuelectenerg-3144	222	1	if	if	SCONJ
fuelectenerg-3144	222	2	a	a	DET
fuelectenerg-3144	222	3	state	state	NOUN
fuelectenerg-3144	222	4	encoding	encoding	NOUN
fuelectenerg-3144	222	5	is	be	AUX
fuelectenerg-3144	222	6	not	not	PART
fuelectenerg-3144	222	7	bijective	bijective	ADJ
fuelectenerg-3144	222	8	,	,	PUNCT
fuelectenerg-3144	222	9	one	one	PRON
fuelectenerg-3144	222	10	can	can	AUX
fuelectenerg-3144	222	11	still	still	ADV
fuelectenerg-3144	222	12	define	define	VERB
fuelectenerg-3144	222	13	a	a	DET
fuelectenerg-3144	222	14	set	set	NOUN
fuelectenerg-3144	222	15	of	of	ADP
fuelectenerg-3144	222	16	encoded	encode	VERB
fuelectenerg-3144	222	17	transition	transition	NOUN
fuelectenerg-3144	222	18	functions	function	NOUN
fuelectenerg-3144	222	19	using	use	VERB
fuelectenerg-3144	222	20	the	the	DET
fuelectenerg-3144	222	21	same	same	ADJ
fuelectenerg-3144	222	22	concept	concept	NOUN
fuelectenerg-3144	222	23	—	—	PUNCT
fuelectenerg-3144	222	24	each	each	DET
fuelectenerg-3144	222	25	encoded	encode	VERB
fuelectenerg-3144	222	26	transition	transition	NOUN
fuelectenerg-3144	222	27	function	function	NOUN
fuelectenerg-3144	222	28	represents	represent	VERB
fuelectenerg-3144	222	29	the	the	DET
fuelectenerg-3144	222	30	next	next	ADJ
fuelectenerg-3144	222	31	state	state	NOUN
fuelectenerg-3144	222	32	of	of	ADP
fuelectenerg-3144	222	33	a	a	DET
fuelectenerg-3144	222	34	single	single	ADJ
fuelectenerg-3144	222	35	flip	flip	NOUN
fuelectenerg-3144	222	36	-	-	PUNCT
fuelectenerg-3144	222	37	flop	flop	NOUN
fuelectenerg-3144	222	38	in	in	ADP
fuelectenerg-3144	222	39	terms	term	NOUN
fuelectenerg-3144	222	40	of	of	ADP
fuelectenerg-3144	222	41	the	the	DET
fuelectenerg-3144	222	42	current	current	ADJ
fuelectenerg-3144	222	43	states	state	NOUN
fuelectenerg-3144	222	44	of	of	ADP
fuelectenerg-3144	222	45	all	all	DET
fuelectenerg-3144	222	46	flip	flip	NOUN
fuelectenerg-3144	222	47	-	-	PUNCT
fuelectenerg-3144	222	48	flops	flop	NOUN
fuelectenerg-3144	222	49	and	and	CCONJ
fuelectenerg-3144	222	50	the	the	DET
fuelectenerg-3144	222	51	current	current	ADJ
fuelectenerg-3144	222	52	values	value	NOUN
fuelectenerg-3144	222	53	of	of	ADP
fuelectenerg-3144	222	54	all	all	DET
fuelectenerg-3144	222	55	input	input	NOUN
fuelectenerg-3144	222	56	variables	variable	NOUN
fuelectenerg-3144	222	57	.	.	PUNCT
fuelectenerg-3144	223	1	however	however	ADV
fuelectenerg-3144	223	2	,	,	PUNCT
fuelectenerg-3144	223	3	the	the	DET
fuelectenerg-3144	223	4	encoded	encode	VERB
fuelectenerg-3144	223	5	transition	transition	NOUN
fuelectenerg-3144	223	6	“	"	PUNCT
fuelectenerg-3144	223	7	functions	function	NOUN
fuelectenerg-3144	223	8	”	"	PUNCT
fuelectenerg-3144	223	9	defined	define	VERB
fuelectenerg-3144	223	10	in	in	ADP
fuelectenerg-3144	223	11	this	this	DET
fuelectenerg-3144	223	12	way	way	NOUN
fuelectenerg-3144	223	13	are	be	AUX
fuelectenerg-3144	223	14	no	no	ADV
fuelectenerg-3144	223	15	longer	long	ADJ
fuelectenerg-3144	223	16	functions	function	NOUN
fuelectenerg-3144	223	17	in	in	ADP
fuelectenerg-3144	223	18	the	the	DET
fuelectenerg-3144	223	19	mathematical	mathematical	ADJ
fuelectenerg-3144	223	20	sense	sense	NOUN
fuelectenerg-3144	223	21	;	;	PUNCT
fuelectenerg-3144	223	22	they	they	PRON
fuelectenerg-3144	223	23	are	be	AUX
fuelectenerg-3144	223	24	relations	relation	NOUN
fuelectenerg-3144	223	25	instead	instead	ADV
fuelectenerg-3144	223	26	.	.	PUNCT
fuelectenerg-3144	224	1	if	if	SCONJ
fuelectenerg-3144	224	2	the	the	DET
fuelectenerg-3144	224	3	flip	flip	NOUN
fuelectenerg-3144	224	4	-	-	PUNCT
fuelectenerg-3144	224	5	flops	flop	NOUN
fuelectenerg-3144	224	6	’	'	PUNCT
fuelectenerg-3144	224	7	current	current	ADJ
fuelectenerg-3144	224	8	state	state	NOUN
fuelectenerg-3144	224	9	does	do	AUX
fuelectenerg-3144	224	10	not	not	PART
fuelectenerg-3144	224	11	correspond	correspond	VERB
fuelectenerg-3144	224	12	to	to	ADP
fuelectenerg-3144	224	13	any	any	DET
fuelectenerg-3144	224	14	fsm	fsm	PROPN
fuelectenerg-3144	224	15	state	state	NOUN
fuelectenerg-3144	224	16	or	or	CCONJ
fuelectenerg-3144	224	17	the	the	DET
fuelectenerg-3144	224	18	input	input	NOUN
fuelectenerg-3144	224	19	variables	variable	NOUN
fuelectenerg-3144	224	20	’	'	PUNCT
fuelectenerg-3144	224	21	values	value	NOUN
fuelectenerg-3144	224	22	do	do	AUX
fuelectenerg-3144	224	23	not	not	PART
fuelectenerg-3144	224	24	correspond	correspond	VERB
fuelectenerg-3144	224	25	to	to	ADP
fuelectenerg-3144	224	26	any	any	DET
fuelectenerg-3144	224	27	fsm	fsm	PROPN
fuelectenerg-3144	224	28	input	input	NOUN
fuelectenerg-3144	224	29	value	value	NOUN
fuelectenerg-3144	224	30	,	,	PUNCT
fuelectenerg-3144	224	31	then	then	ADV
fuelectenerg-3144	224	32	the	the	DET
fuelectenerg-3144	224	33	next	next	ADJ
fuelectenerg-3144	224	34	state	state	NOUN
fuelectenerg-3144	224	35	is	be	AUX
fuelectenerg-3144	224	36	indeterminate	indeterminate	ADJ
fuelectenerg-3144	224	37	(	(	PUNCT
fuelectenerg-3144	224	38	a.k.a	a.k.a	INTJ
fuelectenerg-3144	224	39	.	.	PUNCT
fuelectenerg-3144	224	40	a	a	DET
fuelectenerg-3144	224	41	“	"	PUNCT
fuelectenerg-3144	224	42	don’t	don’t	NUM
fuelectenerg-3144	224	43	-	-	PUNCT
fuelectenerg-3144	224	44	care	care	NOUN
fuelectenerg-3144	224	45	”	"	PUNCT
fuelectenerg-3144	224	46	)	)	PUNCT
fuelectenerg-3144	224	47	.	.	PUNCT
fuelectenerg-3144	225	1	in	in	ADP
fuelectenerg-3144	225	2	practice	practice	NOUN
fuelectenerg-3144	225	3	,	,	PUNCT
fuelectenerg-3144	225	4	digital	digital	ADJ
fuelectenerg-3144	225	5	logic	logic	NOUN
fuelectenerg-3144	225	6	design	design	NOUN
fuelectenerg-3144	225	7	for	for	ADP
fuelectenerg-3144	225	8	fsms	fsm	NOUN
fuelectenerg-3144	225	9	commonly	commonly	ADV
fuelectenerg-3144	225	10	involves	involve	VERB
fuelectenerg-3144	225	11	non	non	ADJ
fuelectenerg-3144	225	12	-	-	ADJ
fuelectenerg-3144	225	13	bijective	bijective	ADJ
fuelectenerg-3144	225	14	encodings	encoding	NOUN
fuelectenerg-3144	225	15	.	.	PUNCT
fuelectenerg-3144	226	1	nevertheless	nevertheless	ADV
fuelectenerg-3144	226	2	,	,	PUNCT
fuelectenerg-3144	226	3	for	for	ADP
fuelectenerg-3144	226	4	reasons	reason	NOUN
fuelectenerg-3144	226	5	to	to	PART
fuelectenerg-3144	226	6	be	be	AUX
fuelectenerg-3144	226	7	discussed	discuss	VERB
fuelectenerg-3144	226	8	later	later	ADV
fuelectenerg-3144	226	9	,	,	PUNCT
fuelectenerg-3144	226	10	we	we	PRON
fuelectenerg-3144	226	11	will	will	AUX
fuelectenerg-3144	226	12	only	only	ADV
fuelectenerg-3144	226	13	consider	consider	VERB
fuelectenerg-3144	226	14	bijective	bijective	ADJ
fuelectenerg-3144	226	15	encodings	encoding	NOUN
fuelectenerg-3144	226	16	,	,	PUNCT
fuelectenerg-3144	226	17	for	for	ADP
fuelectenerg-3144	226	18	which	which	PRON
fuelectenerg-3144	226	19	all	all	PRON
fuelectenerg-3144	226	20	encoded	encode	VERB
fuelectenerg-3144	226	21	transition	transition	NOUN
fuelectenerg-3144	226	22	functions	function	NOUN
fuelectenerg-3144	226	23	are	be	AUX
fuelectenerg-3144	226	24	actual	actual	ADJ
fuelectenerg-3144	226	25	functions	function	NOUN
fuelectenerg-3144	226	26	in	in	ADP
fuelectenerg-3144	226	27	the	the	DET
fuelectenerg-3144	226	28	mathematical	mathematical	ADJ
fuelectenerg-3144	226	29	sense	sense	NOUN
fuelectenerg-3144	226	30	.	.	PUNCT
fuelectenerg-3144	227	1	observe	observe	VERB
fuelectenerg-3144	227	2	that	that	SCONJ
fuelectenerg-3144	227	3	this	this	DET
fuelectenerg-3144	227	4	restriction	restriction	NOUN
fuelectenerg-3144	227	5	implies	imply	VERB
fuelectenerg-3144	227	6	that	that	SCONJ
fuelectenerg-3144	227	7	we	we	PRON
fuelectenerg-3144	227	8	are	be	AUX
fuelectenerg-3144	227	9	only	only	ADV
fuelectenerg-3144	227	10	considering	consider	VERB
fuelectenerg-3144	227	11	fsms	fsm	NOUN
fuelectenerg-3144	227	12	where	where	SCONJ
fuelectenerg-3144	227	13	the	the	DET
fuelectenerg-3144	227	14	number	number	NOUN
fuelectenerg-3144	227	15	of	of	ADP
fuelectenerg-3144	227	16	states	state	NOUN
fuelectenerg-3144	227	17	is	be	AUX
fuelectenerg-3144	227	18	a	a	DET
fuelectenerg-3144	227	19	power	power	NOUN
fuelectenerg-3144	227	20	of	of	ADP
fuelectenerg-3144	227	21	two	two	NUM
fuelectenerg-3144	227	22	,	,	PUNCT
fuelectenerg-3144	227	23	since	since	SCONJ
fuelectenerg-3144	227	24	no	no	DET
fuelectenerg-3144	227	25	bijective	bijective	ADJ
fuelectenerg-3144	227	26	encodings	encoding	NOUN
fuelectenerg-3144	227	27	exist	exist	VERB
fuelectenerg-3144	227	28	otherwise	otherwise	ADV
fuelectenerg-3144	227	29	.	.	PUNCT
fuelectenerg-3144	228	1	it	it	PRON
fuelectenerg-3144	228	2	also	also	ADV
fuelectenerg-3144	228	3	implies	imply	VERB
fuelectenerg-3144	228	4	the	the	DET
fuelectenerg-3144	228	5	assumption	assumption	NOUN
fuelectenerg-3144	228	6	that	that	SCONJ
fuelectenerg-3144	228	7	the	the	DET
fuelectenerg-3144	228	8	machine	machine	NOUN
fuelectenerg-3144	228	9	is	be	AUX
fuelectenerg-3144	228	10	state	state	NOUN
fuelectenerg-3144	228	11	-	-	PUNCT
fuelectenerg-3144	228	12	minimized	minimized	ADJ
fuelectenerg-3144	228	13	,	,	PUNCT
fuelectenerg-3144	228	14	meaning	mean	VERB
fuelectenerg-3144	228	15	that	that	SCONJ
fuelectenerg-3144	228	16	there	there	PRON
fuelectenerg-3144	228	17	are	be	VERB
fuelectenerg-3144	228	18	no	no	DET
fuelectenerg-3144	228	19	equivalent	equivalent	ADJ
fuelectenerg-3144	228	20	states	state	NOUN
fuelectenerg-3144	228	21	in	in	ADP
fuelectenerg-3144	228	22	the	the	DET
fuelectenerg-3144	228	23	machine	machine	NOUN
fuelectenerg-3144	228	24	,	,	PUNCT
fuelectenerg-3144	228	25	so	so	SCONJ
fuelectenerg-3144	228	26	that	that	SCONJ
fuelectenerg-3144	228	27	no	no	DET
fuelectenerg-3144	228	28	two	two	NUM
fuelectenerg-3144	228	29	distinct	distinct	ADJ
fuelectenerg-3144	228	30	states	state	NOUN
fuelectenerg-3144	228	31	may	may	AUX
fuelectenerg-3144	228	32	have	have	VERB
fuelectenerg-3144	228	33	the	the	DET
fuelectenerg-3144	228	34	same	same	ADJ
fuelectenerg-3144	228	35	encoding	encoding	NOUN
fuelectenerg-3144	228	36	.	.	PUNCT
fuelectenerg-3144	229	1	it	it	PRON
fuelectenerg-3144	229	2	is	be	AUX
fuelectenerg-3144	229	3	common	common	ADJ
fuelectenerg-3144	229	4	to	to	PART
fuelectenerg-3144	229	5	use	use	VERB
fuelectenerg-3144	229	6	the	the	DET
fuelectenerg-3144	229	7	notation	notation	NOUN
fuelectenerg-3144	229	8	q+	q+	PUNCT
fuelectenerg-3144	229	9	i	i	PRON
fuelectenerg-3144	229	10	to	to	PART
fuelectenerg-3144	229	11	represent	represent	VERB
fuelectenerg-3144	229	12	the	the	DET
fuelectenerg-3144	229	13	next	next	ADJ
fuelectenerg-3144	229	14	state	state	NOUN
fuelectenerg-3144	229	15	of	of	ADP
fuelectenerg-3144	229	16	the	the	DET
fuelectenerg-3144	229	17	ith	ith	PROPN
fuelectenerg-3144	229	18	flip	flip	NOUN
fuelectenerg-3144	229	19	-	-	PUNCT
fuelectenerg-3144	229	20	flop	flop	NOUN
fuelectenerg-3144	229	21	,	,	PUNCT
fuelectenerg-3144	229	22	where	where	SCONJ
fuelectenerg-3144	229	23	q1	q1	VERB
fuelectenerg-3144	229	24	through	through	ADP
fuelectenerg-3144	229	25	qn	qn	PROPN
fuelectenerg-3144	229	26	represent	represent	VERB
fuelectenerg-3144	229	27	the	the	DET
fuelectenerg-3144	229	28	current	current	ADJ
fuelectenerg-3144	229	29	states	state	NOUN
fuelectenerg-3144	229	30	of	of	ADP
fuelectenerg-3144	229	31	all	all	DET
fuelectenerg-3144	229	32	flip	flip	NOUN
fuelectenerg-3144	229	33	-	-	PUNCT
fuelectenerg-3144	229	34	flops	flop	NOUN
fuelectenerg-3144	229	35	.	.	PUNCT
fuelectenerg-3144	230	1	in	in	ADP
fuelectenerg-3144	230	2	other	other	ADJ
fuelectenerg-3144	230	3	words	word	NOUN
fuelectenerg-3144	230	4	,	,	PUNCT
fuelectenerg-3144	230	5	q+	q+	NOUN
fuelectenerg-3144	230	6	i	i	NOUN
fuelectenerg-3144	230	7	=	=	NOUN
fuelectenerg-3144	230	8	δi(q1	δi(q1	PROPN
fuelectenerg-3144	230	9	,	,	PUNCT
fuelectenerg-3144	230	10	.	.	PUNCT
fuelectenerg-3144	230	11	.	.	PUNCT
fuelectenerg-3144	230	12	.	.	PUNCT
fuelectenerg-3144	231	1	,	,	PUNCT
fuelectenerg-3144	231	2	qn	qn	INTJ
fuelectenerg-3144	231	3	,	,	PUNCT
fuelectenerg-3144	231	4	x1	x1	PROPN
fuelectenerg-3144	231	5	,	,	PUNCT
fuelectenerg-3144	231	6	.	.	PUNCT
fuelectenerg-3144	231	7	.	.	PUNCT
fuelectenerg-3144	232	1	.	.	PUNCT
fuelectenerg-3144	233	1	,	,	PUNCT
fuelectenerg-3144	233	2	xm	xm	PROPN
fuelectenerg-3144	233	3	)	)	PUNCT
fuelectenerg-3144	233	4	for	for	ADP
fuelectenerg-3144	233	5	all	all	DET
fuelectenerg-3144	233	6	i.	i.	NOUN
fuelectenerg-3144	233	7	this	this	PRON
fuelectenerg-3144	233	8	means	mean	VERB
fuelectenerg-3144	233	9	that	that	SCONJ
fuelectenerg-3144	233	10	q+	q+	ADV
fuelectenerg-3144	233	11	i	i	PRON
fuelectenerg-3144	233	12	is	be	AUX
fuelectenerg-3144	233	13	simply	simply	ADV
fuelectenerg-3144	233	14	a	a	DET
fuelectenerg-3144	233	15	more	more	ADV
fuelectenerg-3144	233	16	compact	compact	ADJ
fuelectenerg-3144	233	17	notation	notation	NOUN
fuelectenerg-3144	233	18	for	for	ADP
fuelectenerg-3144	233	19	the	the	DET
fuelectenerg-3144	233	20	function	function	NOUN
fuelectenerg-3144	233	21	δi	δi	NOUN
fuelectenerg-3144	233	22	that	that	PRON
fuelectenerg-3144	233	23	can	can	AUX
fuelectenerg-3144	233	24	be	be	AUX
fuelectenerg-3144	233	25	used	use	VERB
fuelectenerg-3144	233	26	when	when	SCONJ
fuelectenerg-3144	233	27	it	it	PRON
fuelectenerg-3144	233	28	is	be	AUX
fuelectenerg-3144	233	29	not	not	PART
fuelectenerg-3144	233	30	necessary	necessary	ADJ
fuelectenerg-3144	233	31	to	to	PART
fuelectenerg-3144	233	32	explicitly	explicitly	ADV
fuelectenerg-3144	233	33	show	show	VERB
fuelectenerg-3144	233	34	that	that	SCONJ
fuelectenerg-3144	233	35	δi	δi	PROPN
fuelectenerg-3144	233	36	is	be	AUX
fuelectenerg-3144	233	37	a	a	DET
fuelectenerg-3144	233	38	function	function	NOUN
fuelectenerg-3144	233	39	of	of	ADP
fuelectenerg-3144	233	40	q1	q1	PROPN
fuelectenerg-3144	233	41	through	through	ADP
fuelectenerg-3144	233	42	qn	qn	PROPN
fuelectenerg-3144	233	43	and	and	CCONJ
fuelectenerg-3144	233	44	x1	x1	NUM
fuelectenerg-3144	233	45	through	through	ADP
fuelectenerg-3144	233	46	xm	xm	PROPN
fuelectenerg-3144	233	47	.	.	PUNCT
fuelectenerg-3144	234	1	from	from	ADP
fuelectenerg-3144	234	2	now	now	ADV
fuelectenerg-3144	234	3	on	on	ADV
fuelectenerg-3144	234	4	,	,	PUNCT
fuelectenerg-3144	234	5	we	we	PRON
fuelectenerg-3144	234	6	will	will	AUX
fuelectenerg-3144	234	7	use	use	VERB
fuelectenerg-3144	234	8	both	both	PRON
fuelectenerg-3144	234	9	the	the	DET
fuelectenerg-3144	234	10	q+	q+	PUNCT
fuelectenerg-3144	234	11	i	i	PRON
fuelectenerg-3144	234	12	and	and	CCONJ
fuelectenerg-3144	234	13	δi	δi	VERB
fuelectenerg-3144	234	14	notations	notation	NOUN
fuelectenerg-3144	234	15	interchangeably	interchangeably	ADV
fuelectenerg-3144	234	16	,	,	PUNCT
fuelectenerg-3144	234	17	with	with	ADP
fuelectenerg-3144	234	18	the	the	DET
fuelectenerg-3144	234	19	choice	choice	NOUN
fuelectenerg-3144	234	20	of	of	ADP
fuelectenerg-3144	234	21	notation	notation	NOUN
fuelectenerg-3144	234	22	being	be	AUX
fuelectenerg-3144	234	23	simply	simply	ADV
fuelectenerg-3144	234	24	a	a	DET
fuelectenerg-3144	234	25	matter	matter	NOUN
fuelectenerg-3144	234	26	of	of	ADP
fuelectenerg-3144	234	27	convenience	convenience	NOUN
fuelectenerg-3144	234	28	.	.	PUNCT
fuelectenerg-3144	235	1	6	6	NUM
fuelectenerg-3144	235	2	2.2	2.2	NUM
fuelectenerg-3144	235	3	metric	metric	NOUN
fuelectenerg-3144	235	4	for	for	ADP
fuelectenerg-3144	235	5	evaluating	evaluate	VERB
fuelectenerg-3144	235	6	cost	cost	NOUN
fuelectenerg-3144	235	7	of	of	ADP
fuelectenerg-3144	235	8	state	state	NOUN
fuelectenerg-3144	235	9	encodings	encoding	NOUN
fuelectenerg-3144	235	10	the	the	DET
fuelectenerg-3144	235	11	reader	reader	NOUN
fuelectenerg-3144	235	12	may	may	AUX
fuelectenerg-3144	235	13	observe	observe	VERB
fuelectenerg-3144	235	14	that	that	SCONJ
fuelectenerg-3144	235	15	,	,	PUNCT
fuelectenerg-3144	235	16	by	by	ADP
fuelectenerg-3144	235	17	considering	consider	VERB
fuelectenerg-3144	235	18	the	the	DET
fuelectenerg-3144	235	19	implementation	implementation	NOUN
fuelectenerg-3144	235	20	of	of	ADP
fuelectenerg-3144	235	21	fsms	fsm	NOUN
fuelectenerg-3144	235	22	using	use	VERB
fuelectenerg-3144	235	23	digital	digital	ADJ
fuelectenerg-3144	235	24	logic	logic	NOUN
fuelectenerg-3144	235	25	circuits	circuit	NOUN
fuelectenerg-3144	235	26	,	,	PUNCT
fuelectenerg-3144	235	27	we	we	PRON
fuelectenerg-3144	235	28	have	have	AUX
fuelectenerg-3144	235	29	created	create	VERB
fuelectenerg-3144	235	30	a	a	DET
fuelectenerg-3144	235	31	distinction	distinction	NOUN
fuelectenerg-3144	235	32	between	between	ADP
fuelectenerg-3144	235	33	a	a	DET
fuelectenerg-3144	235	34	symbolic	symbolic	ADJ
fuelectenerg-3144	235	35	fsm	fsm	PROPN
fuelectenerg-3144	235	36	itself	itself	PRON
fuelectenerg-3144	235	37	and	and	CCONJ
fuelectenerg-3144	235	38	its	its	PRON
fuelectenerg-3144	235	39	implementation	implementation	NOUN
fuelectenerg-3144	235	40	using	use	VERB
fuelectenerg-3144	235	41	flip	flip	NOUN
fuelectenerg-3144	235	42	-	-	PUNCT
fuelectenerg-3144	235	43	flops	flop	NOUN
fuelectenerg-3144	235	44	and	and	CCONJ
fuelectenerg-3144	235	45	combinational	combinational	ADJ
fuelectenerg-3144	235	46	logic	logic	NOUN
fuelectenerg-3144	235	47	.	.	PUNCT
fuelectenerg-3144	236	1	the	the	DET
fuelectenerg-3144	236	2	former	former	ADJ
fuelectenerg-3144	236	3	is	be	AUX
fuelectenerg-3144	236	4	simply	simply	ADV
fuelectenerg-3144	236	5	an	an	DET
fuelectenerg-3144	236	6	abstract	abstract	ADJ
fuelectenerg-3144	236	7	mathematical	mathematical	ADJ
fuelectenerg-3144	236	8	concept	concept	NOUN
fuelectenerg-3144	236	9	,	,	PUNCT
fuelectenerg-3144	236	10	while	while	SCONJ
fuelectenerg-3144	236	11	the	the	DET
fuelectenerg-3144	236	12	latter	latter	NOUN
fuelectenerg-3144	236	13	is	be	AUX
fuelectenerg-3144	236	14	a	a	DET
fuelectenerg-3144	236	15	physical	physical	ADJ
fuelectenerg-3144	236	16	realization	realization	NOUN
fuelectenerg-3144	236	17	of	of	ADP
fuelectenerg-3144	236	18	that	that	DET
fuelectenerg-3144	236	19	abstract	abstract	ADJ
fuelectenerg-3144	236	20	concept	concept	NOUN
fuelectenerg-3144	236	21	.	.	PUNCT
fuelectenerg-3144	237	1	from	from	ADP
fuelectenerg-3144	237	2	now	now	ADV
fuelectenerg-3144	237	3	on	on	ADV
fuelectenerg-3144	237	4	,	,	PUNCT
fuelectenerg-3144	237	5	when	when	SCONJ
fuelectenerg-3144	237	6	the	the	DET
fuelectenerg-3144	237	7	meaning	meaning	NOUN
fuelectenerg-3144	237	8	is	be	AUX
fuelectenerg-3144	237	9	clear	clear	ADJ
fuelectenerg-3144	237	10	from	from	ADP
fuelectenerg-3144	237	11	the	the	DET
fuelectenerg-3144	237	12	context	context	NOUN
fuelectenerg-3144	237	13	,	,	PUNCT
fuelectenerg-3144	237	14	we	we	PRON
fuelectenerg-3144	237	15	will	will	AUX
fuelectenerg-3144	237	16	use	use	VERB
fuelectenerg-3144	237	17	“	"	PUNCT
fuelectenerg-3144	237	18	finite	finite	VERB
fuelectenerg-3144	237	19	state	state	NOUN
fuelectenerg-3144	237	20	machine	machine	NOUN
fuelectenerg-3144	237	21	”	"	PUNCT
fuelectenerg-3144	237	22	to	to	PART
fuelectenerg-3144	237	23	refer	refer	VERB
fuelectenerg-3144	237	24	to	to	ADP
fuelectenerg-3144	237	25	both	both	DET
fuelectenerg-3144	237	26	an	an	DET
fuelectenerg-3144	237	27	fsm	fsm	PROPN
fuelectenerg-3144	237	28	in	in	ADP
fuelectenerg-3144	237	29	the	the	DET
fuelectenerg-3144	237	30	abstract	abstract	ADJ
fuelectenerg-3144	237	31	conceptual	conceptual	ADJ
fuelectenerg-3144	237	32	sense	sense	NOUN
fuelectenerg-3144	237	33	and	and	CCONJ
fuelectenerg-3144	237	34	physical	physical	ADJ
fuelectenerg-3144	237	35	implementations	implementation	NOUN
fuelectenerg-3144	237	36	of	of	ADP
fuelectenerg-3144	237	37	that	that	DET
fuelectenerg-3144	237	38	fsm	fsm	PROPN
fuelectenerg-3144	237	39	.	.	PUNCT
fuelectenerg-3144	238	1	when	when	SCONJ
fuelectenerg-3144	238	2	the	the	DET
fuelectenerg-3144	238	3	need	need	NOUN
fuelectenerg-3144	238	4	to	to	PART
fuelectenerg-3144	238	5	avoid	avoid	VERB
fuelectenerg-3144	238	6	confusion	confusion	NOUN
fuelectenerg-3144	238	7	arises	arise	VERB
fuelectenerg-3144	238	8	,	,	PUNCT
fuelectenerg-3144	238	9	we	we	PRON
fuelectenerg-3144	238	10	will	will	AUX
fuelectenerg-3144	238	11	use	use	VERB
fuelectenerg-3144	238	12	“	"	PUNCT
fuelectenerg-3144	238	13	fsm	fsm	PROPN
fuelectenerg-3144	238	14	specification	specification	NOUN
fuelectenerg-3144	238	15	”	"	PUNCT
fuelectenerg-3144	238	16	to	to	PART
fuelectenerg-3144	238	17	refer	refer	VERB
fuelectenerg-3144	238	18	specifically	specifically	ADV
fuelectenerg-3144	238	19	to	to	ADP
fuelectenerg-3144	238	20	the	the	DET
fuelectenerg-3144	238	21	abstract	abstract	ADJ
fuelectenerg-3144	238	22	mathematical	mathematical	ADJ
fuelectenerg-3144	238	23	concept	concept	NOUN
fuelectenerg-3144	238	24	of	of	ADP
fuelectenerg-3144	238	25	an	an	DET
fuelectenerg-3144	238	26	fsm	fsm	PROPN
fuelectenerg-3144	238	27	.	.	PUNCT
fuelectenerg-3144	239	1	there	there	PRON
fuelectenerg-3144	239	2	always	always	ADV
fuelectenerg-3144	239	3	exist	exist	VERB
fuelectenerg-3144	239	4	many	many	ADJ
fuelectenerg-3144	239	5	possible	possible	ADJ
fuelectenerg-3144	239	6	implementations	implementation	NOUN
fuelectenerg-3144	239	7	of	of	ADP
fuelectenerg-3144	239	8	any	any	DET
fuelectenerg-3144	239	9	single	single	ADJ
fuelectenerg-3144	239	10	fsm	fsm	PROPN
fuelectenerg-3144	239	11	specification	specification	NOUN
fuelectenerg-3144	239	12	,	,	PUNCT
fuelectenerg-3144	239	13	since	since	SCONJ
fuelectenerg-3144	239	14	an	an	DET
fuelectenerg-3144	239	15	implementation	implementation	NOUN
fuelectenerg-3144	239	16	of	of	ADP
fuelectenerg-3144	239	17	an	an	DET
fuelectenerg-3144	239	18	fsm	fsm	PROPN
fuelectenerg-3144	239	19	is	be	AUX
fuelectenerg-3144	239	20	always	always	ADV
fuelectenerg-3144	239	21	associated	associate	VERB
fuelectenerg-3144	239	22	with	with	ADP
fuelectenerg-3144	239	23	some	some	DET
fuelectenerg-3144	239	24	encoding	encoding	NOUN
fuelectenerg-3144	239	25	and	and	CCONJ
fuelectenerg-3144	239	26	there	there	PRON
fuelectenerg-3144	239	27	are	be	VERB
fuelectenerg-3144	239	28	many	many	ADJ
fuelectenerg-3144	239	29	possible	possible	ADJ
fuelectenerg-3144	239	30	encodings	encoding	NOUN
fuelectenerg-3144	239	31	for	for	ADP
fuelectenerg-3144	239	32	any	any	DET
fuelectenerg-3144	239	33	given	give	VERB
fuelectenerg-3144	239	34	set	set	NOUN
fuelectenerg-3144	239	35	of	of	ADP
fuelectenerg-3144	239	36	states	state	NOUN
fuelectenerg-3144	239	37	or	or	CCONJ
fuelectenerg-3144	239	38	inputs	input	NOUN
fuelectenerg-3144	239	39	.	.	PUNCT
fuelectenerg-3144	240	1	the	the	DET
fuelectenerg-3144	240	2	differences	difference	NOUN
fuelectenerg-3144	240	3	between	between	ADP
fuelectenerg-3144	240	4	implementations	implementation	NOUN
fuelectenerg-3144	240	5	obtained	obtain	VERB
fuelectenerg-3144	240	6	with	with	ADP
fuelectenerg-3144	240	7	different	different	ADJ
fuelectenerg-3144	240	8	encodings	encoding	NOUN
fuelectenerg-3144	240	9	are	be	AUX
fuelectenerg-3144	240	10	of	of	ADP
fuelectenerg-3144	240	11	great	great	ADJ
fuelectenerg-3144	240	12	interest	interest	NOUN
fuelectenerg-3144	240	13	to	to	ADP
fuelectenerg-3144	240	14	the	the	DET
fuelectenerg-3144	240	15	digital	digital	ADJ
fuelectenerg-3144	240	16	logic	logic	NOUN
fuelectenerg-3144	240	17	designer	designer	NOUN
fuelectenerg-3144	240	18	.	.	PUNCT
fuelectenerg-3144	241	1	in	in	ADP
fuelectenerg-3144	241	2	particular	particular	ADJ
fuelectenerg-3144	241	3	,	,	PUNCT
fuelectenerg-3144	241	4	the	the	DET
fuelectenerg-3144	241	5	combinational	combinational	ADJ
fuelectenerg-3144	241	6	circuit	circuit	NOUN
fuelectenerg-3144	241	7	complexity	complexity	NOUN
fuelectenerg-3144	241	8	(	(	PUNCT
fuelectenerg-3144	241	9	as	as	SCONJ
fuelectenerg-3144	241	10	measured	measure	VERB
fuelectenerg-3144	241	11	,	,	PUNCT
fuelectenerg-3144	241	12	for	for	ADP
fuelectenerg-3144	241	13	instance	instance	NOUN
fuelectenerg-3144	241	14	,	,	PUNCT
fuelectenerg-3144	241	15	by	by	ADP
fuelectenerg-3144	241	16	the	the	DET
fuelectenerg-3144	241	17	number	number	NOUN
fuelectenerg-3144	241	18	of	of	ADP
fuelectenerg-3144	241	19	logic	logic	NOUN
fuelectenerg-3144	241	20	gates	gate	NOUN
fuelectenerg-3144	241	21	or	or	CCONJ
fuelectenerg-3144	241	22	the	the	DET
fuelectenerg-3144	241	23	maximum	maximum	ADJ
fuelectenerg-3144	241	24	delay	delay	NOUN
fuelectenerg-3144	241	25	)	)	PUNCT
fuelectenerg-3144	241	26	of	of	ADP
fuelectenerg-3144	241	27	implementations	implementation	NOUN
fuelectenerg-3144	241	28	may	may	AUX
fuelectenerg-3144	241	29	greatly	greatly	ADV
fuelectenerg-3144	241	30	vary	vary	VERB
fuelectenerg-3144	241	31	for	for	ADP
fuelectenerg-3144	241	32	different	different	ADJ
fuelectenerg-3144	241	33	encodings	encoding	NOUN
fuelectenerg-3144	241	34	.	.	PUNCT
fuelectenerg-3144	242	1	consider	consider	VERB
fuelectenerg-3144	242	2	the	the	DET
fuelectenerg-3144	242	3	fsm	fsm	NOUN
fuelectenerg-3144	242	4	whose	whose	DET
fuelectenerg-3144	242	5	transition	transition	NOUN
fuelectenerg-3144	242	6	function	function	NOUN
fuelectenerg-3144	242	7	is	be	AUX
fuelectenerg-3144	242	8	as	as	SCONJ
fuelectenerg-3144	242	9	given	give	VERB
fuelectenerg-3144	242	10	in	in	ADP
fuelectenerg-3144	242	11	figure	figure	NOUN
fuelectenerg-3144	242	12	2(a	2(a	NUM
fuelectenerg-3144	242	13	)	)	PUNCT
fuelectenerg-3144	242	14	.	.	PUNCT
fuelectenerg-3144	243	1	figure	figure	VERB
fuelectenerg-3144	243	2	2(b	2(b	NUM
fuelectenerg-3144	243	3	)	)	PUNCT
fuelectenerg-3144	243	4	depicts	depict	VERB
fuelectenerg-3144	243	5	a	a	DET
fuelectenerg-3144	243	6	possible	possible	ADJ
fuelectenerg-3144	243	7	encoding	encoding	NOUN
fuelectenerg-3144	243	8	for	for	ADP
fuelectenerg-3144	243	9	the	the	DET
fuelectenerg-3144	243	10	fsm	fsm	PROPN
fuelectenerg-3144	243	11	where	where	SCONJ
fuelectenerg-3144	243	12	the	the	DET
fuelectenerg-3144	243	13	four	four	NUM
fuelectenerg-3144	243	14	possible	possible	ADJ
fuelectenerg-3144	243	15	two	two	NUM
fuelectenerg-3144	243	16	-	-	PUNCT
fuelectenerg-3144	243	17	bit	bit	NOUN
fuelectenerg-3144	243	18	strings	string	NOUN
fuelectenerg-3144	243	19	are	be	AUX
fuelectenerg-3144	243	20	simply	simply	ADV
fuelectenerg-3144	243	21	allocated	allocate	VERB
fuelectenerg-3144	243	22	in	in	ADP
fuelectenerg-3144	243	23	the	the	DET
fuelectenerg-3144	243	24	usual	usual	ADJ
fuelectenerg-3144	243	25	base	base	NOUN
fuelectenerg-3144	243	26	-	-	PUNCT
fuelectenerg-3144	243	27	two	two	NUM
fuelectenerg-3144	243	28	counting	counting	NOUN
fuelectenerg-3144	243	29	order	order	NOUN
fuelectenerg-3144	243	30	(	(	PUNCT
fuelectenerg-3144	243	31	00	00	NUM
fuelectenerg-3144	243	32	first	first	ADV
fuelectenerg-3144	243	33	,	,	PUNCT
fuelectenerg-3144	243	34	then	then	ADV
fuelectenerg-3144	243	35	01	01	NUM
fuelectenerg-3144	243	36	,	,	PUNCT
fuelectenerg-3144	243	37	10	10	NUM
fuelectenerg-3144	243	38	,	,	PUNCT
fuelectenerg-3144	243	39	and	and	CCONJ
fuelectenerg-3144	243	40	11	11	NUM
fuelectenerg-3144	243	41	)	)	PUNCT
fuelectenerg-3144	243	42	.	.	PUNCT
fuelectenerg-3144	244	1	figure	figure	VERB
fuelectenerg-3144	244	2	2(c	2(c	NUM
fuelectenerg-3144	244	3	)	)	PUNCT
fuelectenerg-3144	244	4	then	then	ADV
fuelectenerg-3144	244	5	shows	show	VERB
fuelectenerg-3144	244	6	the	the	DET
fuelectenerg-3144	244	7	resulting	result	VERB
fuelectenerg-3144	244	8	encoded	encode	VERB
fuelectenerg-3144	244	9	transition	transition	NOUN
fuelectenerg-3144	244	10	functions	function	NOUN
fuelectenerg-3144	244	11	.	.	PUNCT
fuelectenerg-3144	245	1	these	these	DET
fuelectenerg-3144	245	2	functions	function	NOUN
fuelectenerg-3144	245	3	may	may	AUX
fuelectenerg-3144	245	4	be	be	AUX
fuelectenerg-3144	245	5	represented	represent	VERB
fuelectenerg-3144	245	6	by	by	ADP
fuelectenerg-3144	245	7	the	the	DET
fuelectenerg-3144	245	8	following	follow	VERB
fuelectenerg-3144	245	9	logical	logical	ADJ
fuelectenerg-3144	245	10	expressions	expression	NOUN
fuelectenerg-3144	245	11	:	:	PUNCT
fuelectenerg-3144	245	12	q+	q+	ADP
fuelectenerg-3144	245	13	1	1	NUM
fuelectenerg-3144	245	14	=	=	SYM
fuelectenerg-3144	245	15	(	(	PUNCT
fuelectenerg-3144	245	16	q1	q1	PROPN
fuelectenerg-3144	245	17	∧	∧	PROPN
fuelectenerg-3144	245	18	x2	x2	PROPN
fuelectenerg-3144	245	19	)	)	PUNCT
fuelectenerg-3144	245	20	∨	∨	PROPN
fuelectenerg-3144	245	21	(	(	PUNCT
fuelectenerg-3144	245	22	q1	q1	PROPN
fuelectenerg-3144	245	23	∧	∧	PROPN
fuelectenerg-3144	245	24	¬q2	¬q2	ADJ
fuelectenerg-3144	245	25	∧	∧	PROPN
fuelectenerg-3144	245	26	x1	x1	PROPN
fuelectenerg-3144	245	27	)	)	PUNCT
fuelectenerg-3144	245	28	∨	∨	PROPN
fuelectenerg-3144	245	29	(	(	PUNCT
fuelectenerg-3144	245	30	¬q1	¬q1	NOUN
fuelectenerg-3144	245	31	∧q2	∧q2	VERB
fuelectenerg-3144	245	32	∧	∧	PROPN
fuelectenerg-3144	245	33	x1	x1	PROPN
fuelectenerg-3144	245	34	)	)	PUNCT
fuelectenerg-3144	245	35	∨	∨	PROPN
fuelectenerg-3144	245	36	(	(	PUNCT
fuelectenerg-3144	245	37	q2	q2	NOUN
fuelectenerg-3144	245	38	∧	∧	PROPN
fuelectenerg-3144	245	39	¬x1	¬x1	NOUN
fuelectenerg-3144	245	40	∧	∧	PROPN
fuelectenerg-3144	245	41	¬x2	¬x2	NOUN
fuelectenerg-3144	245	42	)	)	PUNCT
fuelectenerg-3144	245	43	∨	∨	NUM
fuelectenerg-3144	245	44	(	(	PUNCT
fuelectenerg-3144	245	45	x1	x1	PROPN
fuelectenerg-3144	245	46	∧	∧	PROPN
fuelectenerg-3144	245	47	x2	x2	PROPN
fuelectenerg-3144	245	48	)	)	PUNCT
fuelectenerg-3144	245	49	,	,	PUNCT
fuelectenerg-3144	245	50	q+	q+	ADP
fuelectenerg-3144	245	51	2	2	NUM
fuelectenerg-3144	245	52	=	=	SYM
fuelectenerg-3144	245	53	(	(	PUNCT
fuelectenerg-3144	245	54	q1	q1	PROPN
fuelectenerg-3144	245	55	∧q2	∧q2	VERB
fuelectenerg-3144	245	56	∧	∧	PROPN
fuelectenerg-3144	245	57	¬x1	¬x1	NOUN
fuelectenerg-3144	245	58	)	)	PUNCT
fuelectenerg-3144	245	59	∨	∨	PROPN
fuelectenerg-3144	245	60	(	(	PUNCT
fuelectenerg-3144	245	61	q1	q1	PROPN
fuelectenerg-3144	245	62	∧q2	∧q2	VERB
fuelectenerg-3144	245	63	∧	∧	PROPN
fuelectenerg-3144	245	64	¬x2	¬x2	NOUN
fuelectenerg-3144	245	65	)	)	PUNCT
fuelectenerg-3144	245	66	∨	∨	NOUN
fuelectenerg-3144	245	67	(	(	PUNCT
fuelectenerg-3144	245	68	¬q1	¬q1	NOUN
fuelectenerg-3144	245	69	∧	∧	PROPN
fuelectenerg-3144	245	70	¬q2	¬q2	ADJ
fuelectenerg-3144	245	71	∧	∧	PROPN
fuelectenerg-3144	245	72	¬x1	¬x1	NOUN
fuelectenerg-3144	245	73	)	)	PUNCT
fuelectenerg-3144	245	74	∨(¬q1	∨(¬q1	DET
fuelectenerg-3144	245	75	∧	∧	PROPN
fuelectenerg-3144	245	76	¬q2	¬q2	ADJ
fuelectenerg-3144	245	77	∧	∧	PROPN
fuelectenerg-3144	245	78	¬x2	¬x2	NOUN
fuelectenerg-3144	245	79	)	)	PUNCT
fuelectenerg-3144	245	80	∨	∨	NUM
fuelectenerg-3144	245	81	(	(	PUNCT
fuelectenerg-3144	245	82	¬x1	¬x1	NOUN
fuelectenerg-3144	245	83	∧	∧	PROPN
fuelectenerg-3144	245	84	¬x2	¬x2	NOUN
fuelectenerg-3144	245	85	)	)	PUNCT
fuelectenerg-3144	245	86	,	,	PUNCT
fuelectenerg-3144	245	87	which	which	PRON
fuelectenerg-3144	245	88	show	show	VERB
fuelectenerg-3144	245	89	that	that	SCONJ
fuelectenerg-3144	245	90	both	both	DET
fuelectenerg-3144	245	91	q+	q+	ADP
fuelectenerg-3144	245	92	1	1	NUM
fuelectenerg-3144	245	93	and	and	CCONJ
fuelectenerg-3144	245	94	q+	q+	ADP
fuelectenerg-3144	245	95	2	2	NUM
fuelectenerg-3144	245	96	depend	depend	VERB
fuelectenerg-3144	245	97	on	on	ADP
fuelectenerg-3144	245	98	all	all	DET
fuelectenerg-3144	245	99	four	four	NUM
fuelectenerg-3144	245	100	state	state	NOUN
fuelectenerg-3144	245	101	/	/	SYM
fuelectenerg-3144	245	102	input	input	NOUN
fuelectenerg-3144	245	103	variables	variable	NOUN
fuelectenerg-3144	245	104	(	(	PUNCT
fuelectenerg-3144	245	105	q1	q1	PROPN
fuelectenerg-3144	245	106	,	,	PUNCT
fuelectenerg-3144	245	107	q2	q2	NOUN
fuelectenerg-3144	245	108	,	,	PUNCT
fuelectenerg-3144	245	109	x1	x1	PROPN
fuelectenerg-3144	245	110	,	,	PUNCT
fuelectenerg-3144	245	111	and	and	CCONJ
fuelectenerg-3144	245	112	x2	x2	NUM
fuelectenerg-3144	245	113	)	)	PUNCT
fuelectenerg-3144	245	114	.	.	PUNCT
fuelectenerg-3144	246	1	in	in	ADP
fuelectenerg-3144	246	2	comparison	comparison	NOUN
fuelectenerg-3144	246	3	,	,	PUNCT
fuelectenerg-3144	246	4	if	if	SCONJ
fuelectenerg-3144	246	5	the	the	DET
fuelectenerg-3144	246	6	encoding	encoding	NOUN
fuelectenerg-3144	246	7	shown	show	VERB
fuelectenerg-3144	246	8	in	in	ADP
fuelectenerg-3144	246	9	figure	figure	NOUN
fuelectenerg-3144	246	10	2(d	2(d	NUM
fuelectenerg-3144	246	11	)	)	PUNCT
fuelectenerg-3144	246	12	is	be	AUX
fuelectenerg-3144	246	13	used	use	VERB
fuelectenerg-3144	246	14	instead	instead	ADV
fuelectenerg-3144	246	15	,	,	PUNCT
fuelectenerg-3144	246	16	then	then	ADV
fuelectenerg-3144	246	17	the	the	DET
fuelectenerg-3144	246	18	encoded	encode	VERB
fuelectenerg-3144	246	19	transition	transition	NOUN
fuelectenerg-3144	246	20	functions	function	NOUN
fuelectenerg-3144	246	21	are	be	AUX
fuelectenerg-3144	246	22	as	as	ADP
fuelectenerg-3144	246	23	shown	show	VERB
fuelectenerg-3144	246	24	in	in	ADP
fuelectenerg-3144	246	25	figure	figure	NOUN
fuelectenerg-3144	246	26	2(e	2(e	NUM
fuelectenerg-3144	246	27	)	)	PUNCT
fuelectenerg-3144	246	28	and	and	CCONJ
fuelectenerg-3144	246	29	may	may	AUX
fuelectenerg-3144	246	30	be	be	AUX
fuelectenerg-3144	246	31	represented	represent	VERB
fuelectenerg-3144	246	32	by	by	ADP
fuelectenerg-3144	246	33	the	the	DET
fuelectenerg-3144	246	34	expressions	expression	NOUN
fuelectenerg-3144	246	35	q+	q+	PUNCT
fuelectenerg-3144	246	36	1	1	NUM
fuelectenerg-3144	246	37	=	=	SYM
fuelectenerg-3144	246	38	q2	q2	PROPN
fuelectenerg-3144	246	39	∨	∨	NUM
fuelectenerg-3144	246	40	¬x1	¬x1	NOUN
fuelectenerg-3144	246	41	,	,	PUNCT
fuelectenerg-3144	246	42	q+	q+	ADV
fuelectenerg-3144	246	43	2	2	NUM
fuelectenerg-3144	246	44	=	=	SYM
fuelectenerg-3144	246	45	(	(	PUNCT
fuelectenerg-3144	246	46	q1	q1	NOUN
fuelectenerg-3144	246	47	∧	∧	PROPN
fuelectenerg-3144	246	48	¬x1	¬x1	NOUN
fuelectenerg-3144	246	49	)	)	PUNCT
fuelectenerg-3144	246	50	∨	∨	PROPN
fuelectenerg-3144	246	51	(	(	PUNCT
fuelectenerg-3144	246	52	q1	q1	PROPN
fuelectenerg-3144	246	53	∧	∧	PROPN
fuelectenerg-3144	246	54	x2	x2	PROPN
fuelectenerg-3144	246	55	)	)	PUNCT
fuelectenerg-3144	246	56	∨	∨	NUM
fuelectenerg-3144	246	57	(	(	PUNCT
fuelectenerg-3144	246	58	¬x1	¬x1	NOUN
fuelectenerg-3144	246	59	∧	∧	PROPN
fuelectenerg-3144	246	60	¬x2	¬x2	NOUN
fuelectenerg-3144	246	61	)	)	PUNCT
fuelectenerg-3144	246	62	,	,	PUNCT
fuelectenerg-3144	246	63	where	where	SCONJ
fuelectenerg-3144	246	64	we	we	PRON
fuelectenerg-3144	246	65	observe	observe	VERB
fuelectenerg-3144	246	66	that	that	SCONJ
fuelectenerg-3144	246	67	q+	q+	ADP
fuelectenerg-3144	246	68	1	1	NUM
fuelectenerg-3144	246	69	depends	depend	VERB
fuelectenerg-3144	246	70	on	on	ADP
fuelectenerg-3144	246	71	only	only	ADV
fuelectenerg-3144	246	72	two	two	NUM
fuelectenerg-3144	246	73	variables	variable	NOUN
fuelectenerg-3144	246	74	(	(	PUNCT
fuelectenerg-3144	246	75	q2	q2	NOUN
fuelectenerg-3144	246	76	and	and	CCONJ
fuelectenerg-3144	246	77	x1	x1	NUM
fuelectenerg-3144	246	78	)	)	PUNCT
fuelectenerg-3144	246	79	and	and	CCONJ
fuelectenerg-3144	246	80	q+	q+	ADP
fuelectenerg-3144	246	81	2	2	NUM
fuelectenerg-3144	246	82	depends	depend	VERB
fuelectenerg-3144	246	83	on	on	ADP
fuelectenerg-3144	246	84	three	three	NUM
fuelectenerg-3144	246	85	(	(	PUNCT
fuelectenerg-3144	246	86	q1	q1	PROPN
fuelectenerg-3144	246	87	,	,	PUNCT
fuelectenerg-3144	246	88	x1	x1	PROPN
fuelectenerg-3144	246	89	,	,	PUNCT
fuelectenerg-3144	246	90	and	and	CCONJ
fuelectenerg-3144	246	91	x2	x2	NUM
fuelectenerg-3144	246	92	)	)	PUNCT
fuelectenerg-3144	246	93	.	.	PUNCT
fuelectenerg-3144	247	1	we	we	PRON
fuelectenerg-3144	247	2	therefore	therefore	ADV
fuelectenerg-3144	247	3	see	see	VERB
fuelectenerg-3144	247	4	that	that	SCONJ
fuelectenerg-3144	247	5	between	between	ADP
fuelectenerg-3144	247	6	these	these	DET
fuelectenerg-3144	247	7	two	two	NUM
fuelectenerg-3144	247	8	encodings	encoding	NOUN
fuelectenerg-3144	247	9	,	,	PUNCT
fuelectenerg-3144	247	10	the	the	DET
fuelectenerg-3144	247	11	encoding	encoding	NOUN
fuelectenerg-3144	247	12	from	from	ADP
fuelectenerg-3144	247	13	figure	figure	NOUN
fuelectenerg-3144	247	14	2(d	2(d	NUM
fuelectenerg-3144	247	15	)	)	PUNCT
fuelectenerg-3144	247	16	results	result	NOUN
fuelectenerg-3144	247	17	in	in	ADP
fuelectenerg-3144	247	18	encoded	encode	VERB
fuelectenerg-3144	247	19	transition	transition	NOUN
fuelectenerg-3144	247	20	functions	function	NOUN
fuelectenerg-3144	247	21	that	that	PRON
fuelectenerg-3144	247	22	depend	depend	VERB
fuelectenerg-3144	247	23	on	on	ADP
fuelectenerg-3144	247	24	less	less	ADJ
fuelectenerg-3144	247	25	variables	variable	NOUN
fuelectenerg-3144	247	26	.	.	PUNCT
fuelectenerg-3144	248	1	if	if	SCONJ
fuelectenerg-3144	248	2	we	we	PRON
fuelectenerg-3144	248	3	make	make	VERB
fuelectenerg-3144	248	4	the	the	DET
fuelectenerg-3144	248	5	reasonable	reasonable	ADJ
fuelectenerg-3144	248	6	assumption	assumption	NOUN
fuelectenerg-3144	248	7	that	that	SCONJ
fuelectenerg-3144	248	8	the	the	DET
fuelectenerg-3144	248	9	complexity	complexity	NOUN
fuelectenerg-3144	248	10	of	of	ADP
fuelectenerg-3144	248	11	a	a	DET
fuelectenerg-3144	248	12	digital	digital	ADJ
fuelectenerg-3144	248	13	logic	logic	NOUN
fuelectenerg-3144	248	14	circuit	circuit	NOUN
fuelectenerg-3144	248	15	is	be	AUX
fuelectenerg-3144	248	16	correlated	correlate	VERB
fuelectenerg-3144	248	17	with	with	ADP
fuelectenerg-3144	248	18	its	its	PRON
fuelectenerg-3144	248	19	number	number	NOUN
fuelectenerg-3144	248	20	of	of	ADP
fuelectenerg-3144	248	21	inputs	input	NOUN
fuelectenerg-3144	248	22	,	,	PUNCT
fuelectenerg-3144	248	23	then	then	ADV
fuelectenerg-3144	248	24	we	we	PRON
fuelectenerg-3144	248	25	would	would	AUX
fuelectenerg-3144	248	26	expect	expect	VERB
fuelectenerg-3144	248	27	the	the	DET
fuelectenerg-3144	248	28	encoding	encoding	NOUN
fuelectenerg-3144	248	29	from	from	ADP
fuelectenerg-3144	248	30	figure	figure	NOUN
fuelectenerg-3144	248	31	2(d	2(d	NUM
fuelectenerg-3144	248	32	)	)	PUNCT
fuelectenerg-3144	248	33	to	to	PART
fuelectenerg-3144	248	34	ultimately	ultimately	ADV
fuelectenerg-3144	248	35	result	result	VERB
fuelectenerg-3144	248	36	in	in	ADP
fuelectenerg-3144	248	37	a	a	DET
fuelectenerg-3144	248	38	7	7	NUM
fuelectenerg-3144	248	39	174	174	NUM
fuelectenerg-3144	248	40	e.	e.	PROPN
fuelectenerg-3144	248	41	tsai	tsai	PROPN
fuelectenerg-3144	248	42	,	,	PUNCT
fuelectenerg-3144	248	43	m.	m.	PROPN
fuelectenerg-3144	248	44	perkowski	perkowski	PROPN
fuelectenerg-3144	248	45	a	a	DET
fuelectenerg-3144	248	46	quantum	quantum	ADJ
fuelectenerg-3144	248	47	algorithm	algorithm	NOUN
fuelectenerg-3144	248	48	for	for	ADP
fuelectenerg-3144	248	49	automata	automata	NOUN
fuelectenerg-3144	248	50	encoding	encode	VERB
fuelectenerg-3144	248	51	175	175	NUM
fuelectenerg-3144	248	52	variables	variable	NOUN
fuelectenerg-3144	248	53	q1	q1	PROPN
fuelectenerg-3144	248	54	through	through	ADP
fuelectenerg-3144	248	55	qn	qn	PROPN
fuelectenerg-3144	248	56	and	and	CCONJ
fuelectenerg-3144	248	57	x1	x1	PROPN
fuelectenerg-3144	248	58	through	through	ADP
fuelectenerg-3144	248	59	xm	xm	PROPN
fuelectenerg-3144	248	60	corresponds	correspond	VERB
fuelectenerg-3144	248	61	to	to	ADP
fuelectenerg-3144	248	62	a	a	DET
fuelectenerg-3144	248	63	unique	unique	ADJ
fuelectenerg-3144	248	64	state	state	NOUN
fuelectenerg-3144	248	65	and	and	CCONJ
fuelectenerg-3144	248	66	input	input	NOUN
fuelectenerg-3144	248	67	value	value	NOUN
fuelectenerg-3144	248	68	of	of	ADP
fuelectenerg-3144	248	69	the	the	DET
fuelectenerg-3144	248	70	fsm	fsm	PROPN
fuelectenerg-3144	248	71	.	.	PUNCT
fuelectenerg-3144	249	1	therefore	therefore	ADV
fuelectenerg-3144	249	2	,	,	PUNCT
fuelectenerg-3144	249	3	the	the	DET
fuelectenerg-3144	249	4	next	next	ADJ
fuelectenerg-3144	249	5	state	state	NOUN
fuelectenerg-3144	249	6	is	be	AUX
fuelectenerg-3144	249	7	also	also	ADV
fuelectenerg-3144	249	8	uniquely	uniquely	ADV
fuelectenerg-3144	249	9	determined	determine	VERB
fuelectenerg-3144	249	10	by	by	ADP
fuelectenerg-3144	249	11	the	the	DET
fuelectenerg-3144	249	12	transition	transition	NOUN
fuelectenerg-3144	249	13	function	function	NOUN
fuelectenerg-3144	249	14	δ	δ	PROPN
fuelectenerg-3144	249	15	.	.	PUNCT
fuelectenerg-3144	250	1	in	in	ADP
fuelectenerg-3144	250	2	this	this	DET
fuelectenerg-3144	250	3	case	case	NOUN
fuelectenerg-3144	250	4	,	,	PUNCT
fuelectenerg-3144	250	5	we	we	PRON
fuelectenerg-3144	250	6	define	define	VERB
fuelectenerg-3144	250	7	a	a	DET
fuelectenerg-3144	250	8	collection	collection	NOUN
fuelectenerg-3144	250	9	of	of	ADP
fuelectenerg-3144	250	10	encoded	encode	VERB
fuelectenerg-3144	250	11	transition	transition	NOUN
fuelectenerg-3144	250	12	functions	function	NOUN
fuelectenerg-3144	250	13	δ1	δ1	NOUN
fuelectenerg-3144	250	14	through	through	ADP
fuelectenerg-3144	250	15	δn	δn	NOUN
fuelectenerg-3144	250	16	,	,	PUNCT
fuelectenerg-3144	250	17	where	where	SCONJ
fuelectenerg-3144	250	18	δi	δi	PROPN
fuelectenerg-3144	250	19	represents	represent	VERB
fuelectenerg-3144	250	20	the	the	DET
fuelectenerg-3144	250	21	next	next	ADJ
fuelectenerg-3144	250	22	state	state	NOUN
fuelectenerg-3144	250	23	of	of	ADP
fuelectenerg-3144	250	24	the	the	DET
fuelectenerg-3144	250	25	ith	ith	PROPN
fuelectenerg-3144	250	26	flip	flip	NOUN
fuelectenerg-3144	250	27	-	-	PUNCT
fuelectenerg-3144	250	28	flop	flop	NOUN
fuelectenerg-3144	250	29	in	in	ADP
fuelectenerg-3144	250	30	terms	term	NOUN
fuelectenerg-3144	250	31	of	of	ADP
fuelectenerg-3144	250	32	the	the	DET
fuelectenerg-3144	250	33	variables	variables	PROPN
fuelectenerg-3144	250	34	q1	q1	PROPN
fuelectenerg-3144	250	35	through	through	ADP
fuelectenerg-3144	250	36	qn	qn	PROPN
fuelectenerg-3144	250	37	and	and	CCONJ
fuelectenerg-3144	250	38	x1	x1	NUM
fuelectenerg-3144	250	39	through	through	ADP
fuelectenerg-3144	250	40	xm	xm	PROPN
fuelectenerg-3144	250	41	.	.	PUNCT
fuelectenerg-3144	251	1	in	in	ADP
fuelectenerg-3144	251	2	other	other	ADJ
fuelectenerg-3144	251	3	words	word	NOUN
fuelectenerg-3144	251	4	,	,	PUNCT
fuelectenerg-3144	251	5	the	the	DET
fuelectenerg-3144	251	6	values	value	NOUN
fuelectenerg-3144	251	7	of	of	ADP
fuelectenerg-3144	251	8	q1	q1	PROPN
fuelectenerg-3144	251	9	through	through	ADP
fuelectenerg-3144	251	10	qn	qn	PROPN
fuelectenerg-3144	251	11	and	and	CCONJ
fuelectenerg-3144	251	12	x1	x1	PROPN
fuelectenerg-3144	251	13	through	through	ADP
fuelectenerg-3144	251	14	xm	xm	PROPN
fuelectenerg-3144	251	15	uniquely	uniquely	ADV
fuelectenerg-3144	251	16	determine	determine	VERB
fuelectenerg-3144	251	17	a	a	DET
fuelectenerg-3144	251	18	state	state	NOUN
fuelectenerg-3144	251	19	s	s	NOUN
fuelectenerg-3144	251	20	and	and	CCONJ
fuelectenerg-3144	251	21	input	input	NOUN
fuelectenerg-3144	251	22	value	value	NOUN
fuelectenerg-3144	251	23	i.	i.	NOUN
fuelectenerg-3144	251	24	if	if	SCONJ
fuelectenerg-3144	251	25	these	these	PRON
fuelectenerg-3144	251	26	are	be	AUX
fuelectenerg-3144	251	27	the	the	DET
fuelectenerg-3144	251	28	current	current	ADJ
fuelectenerg-3144	251	29	state	state	NOUN
fuelectenerg-3144	251	30	of	of	ADP
fuelectenerg-3144	251	31	and	and	CCONJ
fuelectenerg-3144	251	32	input	input	NOUN
fuelectenerg-3144	251	33	to	to	ADP
fuelectenerg-3144	251	34	the	the	DET
fuelectenerg-3144	251	35	fsm	fsm	PROPN
fuelectenerg-3144	251	36	,	,	PUNCT
fuelectenerg-3144	251	37	then	then	ADV
fuelectenerg-3144	251	38	the	the	DET
fuelectenerg-3144	251	39	next	next	ADJ
fuelectenerg-3144	251	40	state	state	NOUN
fuelectenerg-3144	251	41	of	of	ADP
fuelectenerg-3144	251	42	the	the	DET
fuelectenerg-3144	251	43	fsm	fsm	PROPN
fuelectenerg-3144	251	44	will	will	AUX
fuelectenerg-3144	251	45	be	be	AUX
fuelectenerg-3144	251	46	δ(s	δ(s	PROPN
fuelectenerg-3144	251	47	,	,	PUNCT
fuelectenerg-3144	251	48	i	i	NOUN
fuelectenerg-3144	251	49	)	)	PUNCT
fuelectenerg-3144	251	50	and	and	CCONJ
fuelectenerg-3144	251	51	the	the	DET
fuelectenerg-3144	251	52	encoding	encoding	NOUN
fuelectenerg-3144	251	53	of	of	ADP
fuelectenerg-3144	251	54	this	this	DET
fuelectenerg-3144	251	55	next	next	ADJ
fuelectenerg-3144	251	56	state	state	NOUN
fuelectenerg-3144	251	57	is	be	AUX
fuelectenerg-3144	251	58	cs(δ(s	cs(δ(s	PROPN
fuelectenerg-3144	251	59	,	,	PUNCT
fuelectenerg-3144	251	60	i	i	NOUN
fuelectenerg-3144	251	61	)	)	PUNCT
fuelectenerg-3144	251	62	)	)	PUNCT
fuelectenerg-3144	251	63	where	where	SCONJ
fuelectenerg-3144	251	64	cs	cs	PROPN
fuelectenerg-3144	251	65	is	be	AUX
fuelectenerg-3144	251	66	the	the	DET
fuelectenerg-3144	251	67	functional	functional	ADJ
fuelectenerg-3144	251	68	representation	representation	NOUN
fuelectenerg-3144	251	69	of	of	ADP
fuelectenerg-3144	251	70	a	a	DET
fuelectenerg-3144	251	71	state	state	NOUN
fuelectenerg-3144	251	72	encoding	encoding	NOUN
fuelectenerg-3144	251	73	as	as	ADP
fuelectenerg-3144	251	74	previously	previously	ADV
fuelectenerg-3144	251	75	described	describe	VERB
fuelectenerg-3144	251	76	.	.	PUNCT
fuelectenerg-3144	252	1	we	we	PRON
fuelectenerg-3144	252	2	then	then	ADV
fuelectenerg-3144	252	3	define	define	VERB
fuelectenerg-3144	252	4	δi(q1	δi(q1	NOUN
fuelectenerg-3144	252	5	,	,	PUNCT
fuelectenerg-3144	252	6	.	.	PUNCT
fuelectenerg-3144	252	7	.	.	PUNCT
fuelectenerg-3144	252	8	.	.	PUNCT
fuelectenerg-3144	253	1	,	,	PUNCT
fuelectenerg-3144	253	2	qn	qn	INTJ
fuelectenerg-3144	253	3	,	,	PUNCT
fuelectenerg-3144	253	4	x1	x1	PROPN
fuelectenerg-3144	253	5	,	,	PUNCT
fuelectenerg-3144	253	6	.	.	PUNCT
fuelectenerg-3144	253	7	.	.	PUNCT
fuelectenerg-3144	254	1	.	.	PUNCT
fuelectenerg-3144	255	1	,	,	PUNCT
fuelectenerg-3144	255	2	xm	xm	PROPN
fuelectenerg-3144	255	3	)	)	PUNCT
fuelectenerg-3144	255	4	to	to	PART
fuelectenerg-3144	255	5	be	be	AUX
fuelectenerg-3144	255	6	the	the	DET
fuelectenerg-3144	255	7	ith	ith	PROPN
fuelectenerg-3144	255	8	component	component	NOUN
fuelectenerg-3144	255	9	of	of	ADP
fuelectenerg-3144	255	10	cs(δ(s	cs(δ(s	PROPN
fuelectenerg-3144	255	11	,	,	PUNCT
fuelectenerg-3144	255	12	i	i	NOUN
fuelectenerg-3144	255	13	)	)	PUNCT
fuelectenerg-3144	255	14	)	)	PUNCT
fuelectenerg-3144	255	15	.	.	PUNCT
fuelectenerg-3144	256	1	encoded	encode	VERB
fuelectenerg-3144	256	2	transition	transition	NOUN
fuelectenerg-3144	256	3	functions	function	NOUN
fuelectenerg-3144	256	4	represent	represent	VERB
fuelectenerg-3144	256	5	the	the	DET
fuelectenerg-3144	256	6	computations	computation	NOUN
fuelectenerg-3144	256	7	to	to	PART
fuelectenerg-3144	256	8	be	be	AUX
fuelectenerg-3144	256	9	performed	perform	VERB
fuelectenerg-3144	256	10	by	by	ADP
fuelectenerg-3144	256	11	the	the	DET
fuelectenerg-3144	256	12	next	next	ADJ
fuelectenerg-3144	256	13	-	-	PUNCT
fuelectenerg-3144	256	14	state	state	NOUN
fuelectenerg-3144	256	15	logic	logic	NOUN
fuelectenerg-3144	256	16	in	in	ADP
fuelectenerg-3144	256	17	a	a	DET
fuelectenerg-3144	256	18	digital	digital	ADJ
fuelectenerg-3144	256	19	logic	logic	NOUN
fuelectenerg-3144	256	20	circuit	circuit	NOUN
fuelectenerg-3144	256	21	implementation	implementation	NOUN
fuelectenerg-3144	256	22	of	of	ADP
fuelectenerg-3144	256	23	an	an	DET
fuelectenerg-3144	256	24	fsm	fsm	PROPN
fuelectenerg-3144	256	25	.	.	PUNCT
fuelectenerg-3144	257	1	in	in	ADP
fuelectenerg-3144	257	2	other	other	ADJ
fuelectenerg-3144	257	3	words	word	NOUN
fuelectenerg-3144	257	4	,	,	PUNCT
fuelectenerg-3144	257	5	given	give	VERB
fuelectenerg-3144	257	6	a	a	DET
fuelectenerg-3144	257	7	particular	particular	ADJ
fuelectenerg-3144	257	8	state	state	NOUN
fuelectenerg-3144	257	9	encoding	encoding	NOUN
fuelectenerg-3144	257	10	for	for	ADP
fuelectenerg-3144	257	11	an	an	DET
fuelectenerg-3144	257	12	fsm	fsm	PROPN
fuelectenerg-3144	257	13	,	,	PUNCT
fuelectenerg-3144	257	14	each	each	DET
fuelectenerg-3144	257	15	encoded	encode	VERB
fuelectenerg-3144	257	16	transition	transition	NOUN
fuelectenerg-3144	257	17	function	function	NOUN
fuelectenerg-3144	257	18	gives	give	VERB
fuelectenerg-3144	257	19	the	the	DET
fuelectenerg-3144	257	20	next	next	ADJ
fuelectenerg-3144	257	21	state	state	NOUN
fuelectenerg-3144	257	22	of	of	ADP
fuelectenerg-3144	257	23	a	a	DET
fuelectenerg-3144	257	24	single	single	ADJ
fuelectenerg-3144	257	25	flip	flip	NOUN
fuelectenerg-3144	257	26	-	-	PUNCT
fuelectenerg-3144	257	27	flop	flop	NOUN
fuelectenerg-3144	257	28	in	in	ADP
fuelectenerg-3144	257	29	terms	term	NOUN
fuelectenerg-3144	257	30	of	of	ADP
fuelectenerg-3144	257	31	the	the	DET
fuelectenerg-3144	257	32	current	current	ADJ
fuelectenerg-3144	257	33	states	state	NOUN
fuelectenerg-3144	257	34	of	of	ADP
fuelectenerg-3144	257	35	all	all	DET
fuelectenerg-3144	257	36	flip	flip	NOUN
fuelectenerg-3144	257	37	-	-	PUNCT
fuelectenerg-3144	257	38	flops	flop	NOUN
fuelectenerg-3144	257	39	and	and	CCONJ
fuelectenerg-3144	257	40	the	the	DET
fuelectenerg-3144	257	41	current	current	ADJ
fuelectenerg-3144	257	42	input	input	NOUN
fuelectenerg-3144	257	43	.	.	PUNCT
fuelectenerg-3144	258	1	thus	thus	ADV
fuelectenerg-3144	258	2	,	,	PUNCT
fuelectenerg-3144	258	3	digital	digital	ADJ
fuelectenerg-3144	258	4	logic	logic	NOUN
fuelectenerg-3144	258	5	design	design	NOUN
fuelectenerg-3144	258	6	for	for	ADP
fuelectenerg-3144	258	7	an	an	DET
fuelectenerg-3144	258	8	fsm	fsm	NOUN
fuelectenerg-3144	258	9	involves	involve	VERB
fuelectenerg-3144	258	10	realizing	realize	VERB
fuelectenerg-3144	258	11	the	the	DET
fuelectenerg-3144	258	12	encoded	encode	VERB
fuelectenerg-3144	258	13	transition	transition	NOUN
fuelectenerg-3144	258	14	functions	function	NOUN
fuelectenerg-3144	258	15	as	as	ADP
fuelectenerg-3144	258	16	digital	digital	ADJ
fuelectenerg-3144	258	17	logic	logic	NOUN
fuelectenerg-3144	258	18	circuits	circuit	NOUN
fuelectenerg-3144	258	19	.	.	PUNCT
fuelectenerg-3144	259	1	figure	figure	VERB
fuelectenerg-3144	259	2	1	1	NUM
fuelectenerg-3144	259	3	graphically	graphically	ADV
fuelectenerg-3144	259	4	demonstrates	demonstrate	VERB
fuelectenerg-3144	259	5	this	this	DET
fuelectenerg-3144	259	6	relationship	relationship	NOUN
fuelectenerg-3144	259	7	between	between	ADP
fuelectenerg-3144	259	8	encoded	encode	VERB
fuelectenerg-3144	259	9	transition	transition	NOUN
fuelectenerg-3144	259	10	functions	function	NOUN
fuelectenerg-3144	259	11	and	and	CCONJ
fuelectenerg-3144	259	12	the	the	DET
fuelectenerg-3144	259	13	digital	digital	ADJ
fuelectenerg-3144	259	14	logic	logic	NOUN
fuelectenerg-3144	259	15	implementation	implementation	NOUN
fuelectenerg-3144	259	16	of	of	ADP
fuelectenerg-3144	259	17	an	an	DET
fuelectenerg-3144	259	18	fsm	fsm	PROPN
fuelectenerg-3144	259	19	.	.	PUNCT
fuelectenerg-3144	260	1	in	in	ADP
fuelectenerg-3144	260	2	the	the	DET
fuelectenerg-3144	260	3	remainder	remainder	NOUN
fuelectenerg-3144	260	4	of	of	ADP
fuelectenerg-3144	260	5	this	this	DET
fuelectenerg-3144	260	6	paper	paper	NOUN
fuelectenerg-3144	260	7	,	,	PUNCT
fuelectenerg-3144	260	8	we	we	PRON
fuelectenerg-3144	260	9	will	will	AUX
fuelectenerg-3144	260	10	concentrate	concentrate	VERB
fuelectenerg-3144	260	11	on	on	ADP
fuelectenerg-3144	260	12	evaluating	evaluate	VERB
fuelectenerg-3144	260	13	the	the	DET
fuelectenerg-3144	260	14	cost	cost	NOUN
fuelectenerg-3144	260	15	of	of	ADP
fuelectenerg-3144	260	16	realizing	realize	VERB
fuelectenerg-3144	260	17	encoded	encode	VERB
fuelectenerg-3144	260	18	transition	transition	NOUN
fuelectenerg-3144	260	19	functions	function	NOUN
fuelectenerg-3144	260	20	and	and	CCONJ
fuelectenerg-3144	260	21	how	how	SCONJ
fuelectenerg-3144	260	22	this	this	DET
fuelectenerg-3144	260	23	cost	cost	NOUN
fuelectenerg-3144	260	24	can	can	AUX
fuelectenerg-3144	260	25	be	be	AUX
fuelectenerg-3144	260	26	minimized	minimize	VERB
fuelectenerg-3144	260	27	.	.	PUNCT
fuelectenerg-3144	261	1	if	if	SCONJ
fuelectenerg-3144	261	2	a	a	DET
fuelectenerg-3144	261	3	state	state	NOUN
fuelectenerg-3144	261	4	encoding	encoding	NOUN
fuelectenerg-3144	261	5	is	be	AUX
fuelectenerg-3144	261	6	not	not	PART
fuelectenerg-3144	261	7	bijective	bijective	ADJ
fuelectenerg-3144	261	8	,	,	PUNCT
fuelectenerg-3144	261	9	one	one	PRON
fuelectenerg-3144	261	10	can	can	AUX
fuelectenerg-3144	261	11	still	still	ADV
fuelectenerg-3144	261	12	define	define	VERB
fuelectenerg-3144	261	13	a	a	DET
fuelectenerg-3144	261	14	set	set	NOUN
fuelectenerg-3144	261	15	of	of	ADP
fuelectenerg-3144	261	16	encoded	encode	VERB
fuelectenerg-3144	261	17	transition	transition	NOUN
fuelectenerg-3144	261	18	functions	function	NOUN
fuelectenerg-3144	261	19	using	use	VERB
fuelectenerg-3144	261	20	the	the	DET
fuelectenerg-3144	261	21	same	same	ADJ
fuelectenerg-3144	261	22	concept	concept	NOUN
fuelectenerg-3144	261	23	—	—	PUNCT
fuelectenerg-3144	261	24	each	each	DET
fuelectenerg-3144	261	25	encoded	encode	VERB
fuelectenerg-3144	261	26	transition	transition	NOUN
fuelectenerg-3144	261	27	function	function	NOUN
fuelectenerg-3144	261	28	represents	represent	VERB
fuelectenerg-3144	261	29	the	the	DET
fuelectenerg-3144	261	30	next	next	ADJ
fuelectenerg-3144	261	31	state	state	NOUN
fuelectenerg-3144	261	32	of	of	ADP
fuelectenerg-3144	261	33	a	a	DET
fuelectenerg-3144	261	34	single	single	ADJ
fuelectenerg-3144	261	35	flip	flip	NOUN
fuelectenerg-3144	261	36	-	-	PUNCT
fuelectenerg-3144	261	37	flop	flop	NOUN
fuelectenerg-3144	261	38	in	in	ADP
fuelectenerg-3144	261	39	terms	term	NOUN
fuelectenerg-3144	261	40	of	of	ADP
fuelectenerg-3144	261	41	the	the	DET
fuelectenerg-3144	261	42	current	current	ADJ
fuelectenerg-3144	261	43	states	state	NOUN
fuelectenerg-3144	261	44	of	of	ADP
fuelectenerg-3144	261	45	all	all	DET
fuelectenerg-3144	261	46	flip	flip	NOUN
fuelectenerg-3144	261	47	-	-	PUNCT
fuelectenerg-3144	261	48	flops	flop	NOUN
fuelectenerg-3144	261	49	and	and	CCONJ
fuelectenerg-3144	261	50	the	the	DET
fuelectenerg-3144	261	51	current	current	ADJ
fuelectenerg-3144	261	52	values	value	NOUN
fuelectenerg-3144	261	53	of	of	ADP
fuelectenerg-3144	261	54	all	all	DET
fuelectenerg-3144	261	55	input	input	NOUN
fuelectenerg-3144	261	56	variables	variable	NOUN
fuelectenerg-3144	261	57	.	.	PUNCT
fuelectenerg-3144	262	1	however	however	ADV
fuelectenerg-3144	262	2	,	,	PUNCT
fuelectenerg-3144	262	3	the	the	DET
fuelectenerg-3144	262	4	encoded	encode	VERB
fuelectenerg-3144	262	5	transition	transition	NOUN
fuelectenerg-3144	262	6	“	"	PUNCT
fuelectenerg-3144	262	7	functions	function	NOUN
fuelectenerg-3144	262	8	”	"	PUNCT
fuelectenerg-3144	262	9	defined	define	VERB
fuelectenerg-3144	262	10	in	in	ADP
fuelectenerg-3144	262	11	this	this	DET
fuelectenerg-3144	262	12	way	way	NOUN
fuelectenerg-3144	262	13	are	be	AUX
fuelectenerg-3144	262	14	no	no	ADV
fuelectenerg-3144	262	15	longer	long	ADJ
fuelectenerg-3144	262	16	functions	function	NOUN
fuelectenerg-3144	262	17	in	in	ADP
fuelectenerg-3144	262	18	the	the	DET
fuelectenerg-3144	262	19	mathematical	mathematical	ADJ
fuelectenerg-3144	262	20	sense	sense	NOUN
fuelectenerg-3144	262	21	;	;	PUNCT
fuelectenerg-3144	262	22	they	they	PRON
fuelectenerg-3144	262	23	are	be	AUX
fuelectenerg-3144	262	24	relations	relation	NOUN
fuelectenerg-3144	262	25	instead	instead	ADV
fuelectenerg-3144	262	26	.	.	PUNCT
fuelectenerg-3144	263	1	if	if	SCONJ
fuelectenerg-3144	263	2	the	the	DET
fuelectenerg-3144	263	3	flip	flip	NOUN
fuelectenerg-3144	263	4	-	-	PUNCT
fuelectenerg-3144	263	5	flops	flop	NOUN
fuelectenerg-3144	263	6	’	'	PUNCT
fuelectenerg-3144	263	7	current	current	ADJ
fuelectenerg-3144	263	8	state	state	NOUN
fuelectenerg-3144	263	9	does	do	AUX
fuelectenerg-3144	263	10	not	not	PART
fuelectenerg-3144	263	11	correspond	correspond	VERB
fuelectenerg-3144	263	12	to	to	ADP
fuelectenerg-3144	263	13	any	any	DET
fuelectenerg-3144	263	14	fsm	fsm	PROPN
fuelectenerg-3144	263	15	state	state	NOUN
fuelectenerg-3144	263	16	or	or	CCONJ
fuelectenerg-3144	263	17	the	the	DET
fuelectenerg-3144	263	18	input	input	NOUN
fuelectenerg-3144	263	19	variables	variable	NOUN
fuelectenerg-3144	263	20	’	'	PUNCT
fuelectenerg-3144	263	21	values	value	NOUN
fuelectenerg-3144	263	22	do	do	AUX
fuelectenerg-3144	263	23	not	not	PART
fuelectenerg-3144	263	24	correspond	correspond	VERB
fuelectenerg-3144	263	25	to	to	ADP
fuelectenerg-3144	263	26	any	any	DET
fuelectenerg-3144	263	27	fsm	fsm	PROPN
fuelectenerg-3144	263	28	input	input	NOUN
fuelectenerg-3144	263	29	value	value	NOUN
fuelectenerg-3144	263	30	,	,	PUNCT
fuelectenerg-3144	263	31	then	then	ADV
fuelectenerg-3144	263	32	the	the	DET
fuelectenerg-3144	263	33	next	next	ADJ
fuelectenerg-3144	263	34	state	state	NOUN
fuelectenerg-3144	263	35	is	be	AUX
fuelectenerg-3144	263	36	indeterminate	indeterminate	ADJ
fuelectenerg-3144	263	37	(	(	PUNCT
fuelectenerg-3144	263	38	a.k.a	a.k.a	INTJ
fuelectenerg-3144	263	39	.	.	PUNCT
fuelectenerg-3144	263	40	a	a	DET
fuelectenerg-3144	263	41	“	"	PUNCT
fuelectenerg-3144	263	42	don’t	don’t	NUM
fuelectenerg-3144	263	43	-	-	PUNCT
fuelectenerg-3144	263	44	care	care	NOUN
fuelectenerg-3144	263	45	”	"	PUNCT
fuelectenerg-3144	263	46	)	)	PUNCT
fuelectenerg-3144	263	47	.	.	PUNCT
fuelectenerg-3144	264	1	in	in	ADP
fuelectenerg-3144	264	2	practice	practice	NOUN
fuelectenerg-3144	264	3	,	,	PUNCT
fuelectenerg-3144	264	4	digital	digital	ADJ
fuelectenerg-3144	264	5	logic	logic	NOUN
fuelectenerg-3144	264	6	design	design	NOUN
fuelectenerg-3144	264	7	for	for	ADP
fuelectenerg-3144	264	8	fsms	fsm	NOUN
fuelectenerg-3144	264	9	commonly	commonly	ADV
fuelectenerg-3144	264	10	involves	involve	VERB
fuelectenerg-3144	264	11	non	non	ADJ
fuelectenerg-3144	264	12	-	-	ADJ
fuelectenerg-3144	264	13	bijective	bijective	ADJ
fuelectenerg-3144	264	14	encodings	encoding	NOUN
fuelectenerg-3144	264	15	.	.	PUNCT
fuelectenerg-3144	265	1	nevertheless	nevertheless	ADV
fuelectenerg-3144	265	2	,	,	PUNCT
fuelectenerg-3144	265	3	for	for	ADP
fuelectenerg-3144	265	4	reasons	reason	NOUN
fuelectenerg-3144	265	5	to	to	PART
fuelectenerg-3144	265	6	be	be	AUX
fuelectenerg-3144	265	7	discussed	discuss	VERB
fuelectenerg-3144	265	8	later	later	ADV
fuelectenerg-3144	265	9	,	,	PUNCT
fuelectenerg-3144	265	10	we	we	PRON
fuelectenerg-3144	265	11	will	will	AUX
fuelectenerg-3144	265	12	only	only	ADV
fuelectenerg-3144	265	13	consider	consider	VERB
fuelectenerg-3144	265	14	bijective	bijective	ADJ
fuelectenerg-3144	265	15	encodings	encoding	NOUN
fuelectenerg-3144	265	16	,	,	PUNCT
fuelectenerg-3144	265	17	for	for	ADP
fuelectenerg-3144	265	18	which	which	PRON
fuelectenerg-3144	265	19	all	all	PRON
fuelectenerg-3144	265	20	encoded	encode	VERB
fuelectenerg-3144	265	21	transition	transition	NOUN
fuelectenerg-3144	265	22	functions	function	NOUN
fuelectenerg-3144	265	23	are	be	AUX
fuelectenerg-3144	265	24	actual	actual	ADJ
fuelectenerg-3144	265	25	functions	function	NOUN
fuelectenerg-3144	265	26	in	in	ADP
fuelectenerg-3144	265	27	the	the	DET
fuelectenerg-3144	265	28	mathematical	mathematical	ADJ
fuelectenerg-3144	265	29	sense	sense	NOUN
fuelectenerg-3144	265	30	.	.	PUNCT
fuelectenerg-3144	266	1	observe	observe	VERB
fuelectenerg-3144	266	2	that	that	SCONJ
fuelectenerg-3144	266	3	this	this	DET
fuelectenerg-3144	266	4	restriction	restriction	NOUN
fuelectenerg-3144	266	5	implies	imply	VERB
fuelectenerg-3144	266	6	that	that	SCONJ
fuelectenerg-3144	266	7	we	we	PRON
fuelectenerg-3144	266	8	are	be	AUX
fuelectenerg-3144	266	9	only	only	ADV
fuelectenerg-3144	266	10	considering	consider	VERB
fuelectenerg-3144	266	11	fsms	fsm	NOUN
fuelectenerg-3144	266	12	where	where	SCONJ
fuelectenerg-3144	266	13	the	the	DET
fuelectenerg-3144	266	14	number	number	NOUN
fuelectenerg-3144	266	15	of	of	ADP
fuelectenerg-3144	266	16	states	state	NOUN
fuelectenerg-3144	266	17	is	be	AUX
fuelectenerg-3144	266	18	a	a	DET
fuelectenerg-3144	266	19	power	power	NOUN
fuelectenerg-3144	266	20	of	of	ADP
fuelectenerg-3144	266	21	two	two	NUM
fuelectenerg-3144	266	22	,	,	PUNCT
fuelectenerg-3144	266	23	since	since	SCONJ
fuelectenerg-3144	266	24	no	no	DET
fuelectenerg-3144	266	25	bijective	bijective	ADJ
fuelectenerg-3144	266	26	encodings	encoding	NOUN
fuelectenerg-3144	266	27	exist	exist	VERB
fuelectenerg-3144	266	28	otherwise	otherwise	ADV
fuelectenerg-3144	266	29	.	.	PUNCT
fuelectenerg-3144	267	1	it	it	PRON
fuelectenerg-3144	267	2	also	also	ADV
fuelectenerg-3144	267	3	implies	imply	VERB
fuelectenerg-3144	267	4	the	the	DET
fuelectenerg-3144	267	5	assumption	assumption	NOUN
fuelectenerg-3144	267	6	that	that	SCONJ
fuelectenerg-3144	267	7	the	the	DET
fuelectenerg-3144	267	8	machine	machine	NOUN
fuelectenerg-3144	267	9	is	be	AUX
fuelectenerg-3144	267	10	state	state	NOUN
fuelectenerg-3144	267	11	-	-	PUNCT
fuelectenerg-3144	267	12	minimized	minimized	ADJ
fuelectenerg-3144	267	13	,	,	PUNCT
fuelectenerg-3144	267	14	meaning	mean	VERB
fuelectenerg-3144	267	15	that	that	SCONJ
fuelectenerg-3144	267	16	there	there	PRON
fuelectenerg-3144	267	17	are	be	VERB
fuelectenerg-3144	267	18	no	no	DET
fuelectenerg-3144	267	19	equivalent	equivalent	ADJ
fuelectenerg-3144	267	20	states	state	NOUN
fuelectenerg-3144	267	21	in	in	ADP
fuelectenerg-3144	267	22	the	the	DET
fuelectenerg-3144	267	23	machine	machine	NOUN
fuelectenerg-3144	267	24	,	,	PUNCT
fuelectenerg-3144	267	25	so	so	SCONJ
fuelectenerg-3144	267	26	that	that	SCONJ
fuelectenerg-3144	267	27	no	no	DET
fuelectenerg-3144	267	28	two	two	NUM
fuelectenerg-3144	267	29	distinct	distinct	ADJ
fuelectenerg-3144	267	30	states	state	NOUN
fuelectenerg-3144	267	31	may	may	AUX
fuelectenerg-3144	267	32	have	have	VERB
fuelectenerg-3144	267	33	the	the	DET
fuelectenerg-3144	267	34	same	same	ADJ
fuelectenerg-3144	267	35	encoding	encoding	NOUN
fuelectenerg-3144	267	36	.	.	PUNCT
fuelectenerg-3144	268	1	it	it	PRON
fuelectenerg-3144	268	2	is	be	AUX
fuelectenerg-3144	268	3	common	common	ADJ
fuelectenerg-3144	268	4	to	to	PART
fuelectenerg-3144	268	5	use	use	VERB
fuelectenerg-3144	268	6	the	the	DET
fuelectenerg-3144	268	7	notation	notation	NOUN
fuelectenerg-3144	268	8	q+	q+	PUNCT
fuelectenerg-3144	268	9	i	i	PRON
fuelectenerg-3144	268	10	to	to	PART
fuelectenerg-3144	268	11	represent	represent	VERB
fuelectenerg-3144	268	12	the	the	DET
fuelectenerg-3144	268	13	next	next	ADJ
fuelectenerg-3144	268	14	state	state	NOUN
fuelectenerg-3144	268	15	of	of	ADP
fuelectenerg-3144	268	16	the	the	DET
fuelectenerg-3144	268	17	ith	ith	PROPN
fuelectenerg-3144	268	18	flip	flip	NOUN
fuelectenerg-3144	268	19	-	-	PUNCT
fuelectenerg-3144	268	20	flop	flop	NOUN
fuelectenerg-3144	268	21	,	,	PUNCT
fuelectenerg-3144	268	22	where	where	SCONJ
fuelectenerg-3144	268	23	q1	q1	VERB
fuelectenerg-3144	268	24	through	through	ADP
fuelectenerg-3144	268	25	qn	qn	PROPN
fuelectenerg-3144	268	26	represent	represent	VERB
fuelectenerg-3144	268	27	the	the	DET
fuelectenerg-3144	268	28	current	current	ADJ
fuelectenerg-3144	268	29	states	state	NOUN
fuelectenerg-3144	268	30	of	of	ADP
fuelectenerg-3144	268	31	all	all	DET
fuelectenerg-3144	268	32	flip	flip	NOUN
fuelectenerg-3144	268	33	-	-	PUNCT
fuelectenerg-3144	268	34	flops	flop	NOUN
fuelectenerg-3144	268	35	.	.	PUNCT
fuelectenerg-3144	269	1	in	in	ADP
fuelectenerg-3144	269	2	other	other	ADJ
fuelectenerg-3144	269	3	words	word	NOUN
fuelectenerg-3144	269	4	,	,	PUNCT
fuelectenerg-3144	269	5	q+	q+	NOUN
fuelectenerg-3144	269	6	i	i	NOUN
fuelectenerg-3144	269	7	=	=	NOUN
fuelectenerg-3144	269	8	δi(q1	δi(q1	PROPN
fuelectenerg-3144	269	9	,	,	PUNCT
fuelectenerg-3144	269	10	.	.	PUNCT
fuelectenerg-3144	269	11	.	.	PUNCT
fuelectenerg-3144	269	12	.	.	PUNCT
fuelectenerg-3144	270	1	,	,	PUNCT
fuelectenerg-3144	270	2	qn	qn	INTJ
fuelectenerg-3144	270	3	,	,	PUNCT
fuelectenerg-3144	270	4	x1	x1	PROPN
fuelectenerg-3144	270	5	,	,	PUNCT
fuelectenerg-3144	270	6	.	.	PUNCT
fuelectenerg-3144	270	7	.	.	PUNCT
fuelectenerg-3144	271	1	.	.	PUNCT
fuelectenerg-3144	272	1	,	,	PUNCT
fuelectenerg-3144	272	2	xm	xm	PROPN
fuelectenerg-3144	272	3	)	)	PUNCT
fuelectenerg-3144	272	4	for	for	ADP
fuelectenerg-3144	272	5	all	all	DET
fuelectenerg-3144	272	6	i.	i.	NOUN
fuelectenerg-3144	272	7	this	this	PRON
fuelectenerg-3144	272	8	means	mean	VERB
fuelectenerg-3144	272	9	that	that	SCONJ
fuelectenerg-3144	272	10	q+	q+	ADV
fuelectenerg-3144	272	11	i	i	PRON
fuelectenerg-3144	272	12	is	be	AUX
fuelectenerg-3144	272	13	simply	simply	ADV
fuelectenerg-3144	272	14	a	a	DET
fuelectenerg-3144	272	15	more	more	ADV
fuelectenerg-3144	272	16	compact	compact	ADJ
fuelectenerg-3144	272	17	notation	notation	NOUN
fuelectenerg-3144	272	18	for	for	ADP
fuelectenerg-3144	272	19	the	the	DET
fuelectenerg-3144	272	20	function	function	NOUN
fuelectenerg-3144	272	21	δi	δi	NOUN
fuelectenerg-3144	272	22	that	that	PRON
fuelectenerg-3144	272	23	can	can	AUX
fuelectenerg-3144	272	24	be	be	AUX
fuelectenerg-3144	272	25	used	use	VERB
fuelectenerg-3144	272	26	when	when	SCONJ
fuelectenerg-3144	272	27	it	it	PRON
fuelectenerg-3144	272	28	is	be	AUX
fuelectenerg-3144	272	29	not	not	PART
fuelectenerg-3144	272	30	necessary	necessary	ADJ
fuelectenerg-3144	272	31	to	to	PART
fuelectenerg-3144	272	32	explicitly	explicitly	ADV
fuelectenerg-3144	272	33	show	show	VERB
fuelectenerg-3144	272	34	that	that	SCONJ
fuelectenerg-3144	272	35	δi	δi	PROPN
fuelectenerg-3144	272	36	is	be	AUX
fuelectenerg-3144	272	37	a	a	DET
fuelectenerg-3144	272	38	function	function	NOUN
fuelectenerg-3144	272	39	of	of	ADP
fuelectenerg-3144	272	40	q1	q1	PROPN
fuelectenerg-3144	272	41	through	through	ADP
fuelectenerg-3144	272	42	qn	qn	PROPN
fuelectenerg-3144	272	43	and	and	CCONJ
fuelectenerg-3144	272	44	x1	x1	NUM
fuelectenerg-3144	272	45	through	through	ADP
fuelectenerg-3144	272	46	xm	xm	PROPN
fuelectenerg-3144	272	47	.	.	PUNCT
fuelectenerg-3144	273	1	from	from	ADP
fuelectenerg-3144	273	2	now	now	ADV
fuelectenerg-3144	273	3	on	on	ADV
fuelectenerg-3144	273	4	,	,	PUNCT
fuelectenerg-3144	273	5	we	we	PRON
fuelectenerg-3144	273	6	will	will	AUX
fuelectenerg-3144	273	7	use	use	VERB
fuelectenerg-3144	273	8	both	both	PRON
fuelectenerg-3144	273	9	the	the	DET
fuelectenerg-3144	273	10	q+	q+	PUNCT
fuelectenerg-3144	273	11	i	i	PRON
fuelectenerg-3144	273	12	and	and	CCONJ
fuelectenerg-3144	273	13	δi	δi	VERB
fuelectenerg-3144	273	14	notations	notation	NOUN
fuelectenerg-3144	273	15	interchangeably	interchangeably	ADV
fuelectenerg-3144	273	16	,	,	PUNCT
fuelectenerg-3144	273	17	with	with	ADP
fuelectenerg-3144	273	18	the	the	DET
fuelectenerg-3144	273	19	choice	choice	NOUN
fuelectenerg-3144	273	20	of	of	ADP
fuelectenerg-3144	273	21	notation	notation	NOUN
fuelectenerg-3144	273	22	being	be	AUX
fuelectenerg-3144	273	23	simply	simply	ADV
fuelectenerg-3144	273	24	a	a	DET
fuelectenerg-3144	273	25	matter	matter	NOUN
fuelectenerg-3144	273	26	of	of	ADP
fuelectenerg-3144	273	27	convenience	convenience	NOUN
fuelectenerg-3144	273	28	.	.	PUNCT
fuelectenerg-3144	274	1	6	6	NUM
fuelectenerg-3144	274	2	2.2	2.2	NUM
fuelectenerg-3144	274	3	metric	metric	NOUN
fuelectenerg-3144	274	4	for	for	ADP
fuelectenerg-3144	274	5	evaluating	evaluate	VERB
fuelectenerg-3144	274	6	cost	cost	NOUN
fuelectenerg-3144	274	7	of	of	ADP
fuelectenerg-3144	274	8	state	state	NOUN
fuelectenerg-3144	274	9	encodings	encoding	NOUN
fuelectenerg-3144	274	10	the	the	DET
fuelectenerg-3144	274	11	reader	reader	NOUN
fuelectenerg-3144	274	12	may	may	AUX
fuelectenerg-3144	274	13	observe	observe	VERB
fuelectenerg-3144	274	14	that	that	SCONJ
fuelectenerg-3144	274	15	,	,	PUNCT
fuelectenerg-3144	274	16	by	by	ADP
fuelectenerg-3144	274	17	considering	consider	VERB
fuelectenerg-3144	274	18	the	the	DET
fuelectenerg-3144	274	19	implementation	implementation	NOUN
fuelectenerg-3144	274	20	of	of	ADP
fuelectenerg-3144	274	21	fsms	fsm	NOUN
fuelectenerg-3144	274	22	using	use	VERB
fuelectenerg-3144	274	23	digital	digital	ADJ
fuelectenerg-3144	274	24	logic	logic	NOUN
fuelectenerg-3144	274	25	circuits	circuit	NOUN
fuelectenerg-3144	274	26	,	,	PUNCT
fuelectenerg-3144	274	27	we	we	PRON
fuelectenerg-3144	274	28	have	have	AUX
fuelectenerg-3144	274	29	created	create	VERB
fuelectenerg-3144	274	30	a	a	DET
fuelectenerg-3144	274	31	distinction	distinction	NOUN
fuelectenerg-3144	274	32	between	between	ADP
fuelectenerg-3144	274	33	a	a	DET
fuelectenerg-3144	274	34	symbolic	symbolic	ADJ
fuelectenerg-3144	274	35	fsm	fsm	PROPN
fuelectenerg-3144	274	36	itself	itself	PRON
fuelectenerg-3144	274	37	and	and	CCONJ
fuelectenerg-3144	274	38	its	its	PRON
fuelectenerg-3144	274	39	implementation	implementation	NOUN
fuelectenerg-3144	274	40	using	use	VERB
fuelectenerg-3144	274	41	flip	flip	NOUN
fuelectenerg-3144	274	42	-	-	PUNCT
fuelectenerg-3144	274	43	flops	flop	NOUN
fuelectenerg-3144	274	44	and	and	CCONJ
fuelectenerg-3144	274	45	combinational	combinational	ADJ
fuelectenerg-3144	274	46	logic	logic	NOUN
fuelectenerg-3144	274	47	.	.	PUNCT
fuelectenerg-3144	275	1	the	the	DET
fuelectenerg-3144	275	2	former	former	ADJ
fuelectenerg-3144	275	3	is	be	AUX
fuelectenerg-3144	275	4	simply	simply	ADV
fuelectenerg-3144	275	5	an	an	DET
fuelectenerg-3144	275	6	abstract	abstract	ADJ
fuelectenerg-3144	275	7	mathematical	mathematical	ADJ
fuelectenerg-3144	275	8	concept	concept	NOUN
fuelectenerg-3144	275	9	,	,	PUNCT
fuelectenerg-3144	275	10	while	while	SCONJ
fuelectenerg-3144	275	11	the	the	DET
fuelectenerg-3144	275	12	latter	latter	NOUN
fuelectenerg-3144	275	13	is	be	AUX
fuelectenerg-3144	275	14	a	a	DET
fuelectenerg-3144	275	15	physical	physical	ADJ
fuelectenerg-3144	275	16	realization	realization	NOUN
fuelectenerg-3144	275	17	of	of	ADP
fuelectenerg-3144	275	18	that	that	DET
fuelectenerg-3144	275	19	abstract	abstract	ADJ
fuelectenerg-3144	275	20	concept	concept	NOUN
fuelectenerg-3144	275	21	.	.	PUNCT
fuelectenerg-3144	276	1	from	from	ADP
fuelectenerg-3144	276	2	now	now	ADV
fuelectenerg-3144	276	3	on	on	ADV
fuelectenerg-3144	276	4	,	,	PUNCT
fuelectenerg-3144	276	5	when	when	SCONJ
fuelectenerg-3144	276	6	the	the	DET
fuelectenerg-3144	276	7	meaning	meaning	NOUN
fuelectenerg-3144	276	8	is	be	AUX
fuelectenerg-3144	276	9	clear	clear	ADJ
fuelectenerg-3144	276	10	from	from	ADP
fuelectenerg-3144	276	11	the	the	DET
fuelectenerg-3144	276	12	context	context	NOUN
fuelectenerg-3144	276	13	,	,	PUNCT
fuelectenerg-3144	276	14	we	we	PRON
fuelectenerg-3144	276	15	will	will	AUX
fuelectenerg-3144	276	16	use	use	VERB
fuelectenerg-3144	276	17	“	"	PUNCT
fuelectenerg-3144	276	18	finite	finite	VERB
fuelectenerg-3144	276	19	state	state	NOUN
fuelectenerg-3144	276	20	machine	machine	NOUN
fuelectenerg-3144	276	21	”	"	PUNCT
fuelectenerg-3144	276	22	to	to	PART
fuelectenerg-3144	276	23	refer	refer	VERB
fuelectenerg-3144	276	24	to	to	ADP
fuelectenerg-3144	276	25	both	both	DET
fuelectenerg-3144	276	26	an	an	DET
fuelectenerg-3144	276	27	fsm	fsm	PROPN
fuelectenerg-3144	276	28	in	in	ADP
fuelectenerg-3144	276	29	the	the	DET
fuelectenerg-3144	276	30	abstract	abstract	ADJ
fuelectenerg-3144	276	31	conceptual	conceptual	ADJ
fuelectenerg-3144	276	32	sense	sense	NOUN
fuelectenerg-3144	276	33	and	and	CCONJ
fuelectenerg-3144	276	34	physical	physical	ADJ
fuelectenerg-3144	276	35	implementations	implementation	NOUN
fuelectenerg-3144	276	36	of	of	ADP
fuelectenerg-3144	276	37	that	that	DET
fuelectenerg-3144	276	38	fsm	fsm	PROPN
fuelectenerg-3144	276	39	.	.	PUNCT
fuelectenerg-3144	277	1	when	when	SCONJ
fuelectenerg-3144	277	2	the	the	DET
fuelectenerg-3144	277	3	need	need	NOUN
fuelectenerg-3144	277	4	to	to	PART
fuelectenerg-3144	277	5	avoid	avoid	VERB
fuelectenerg-3144	277	6	confusion	confusion	NOUN
fuelectenerg-3144	277	7	arises	arise	VERB
fuelectenerg-3144	277	8	,	,	PUNCT
fuelectenerg-3144	277	9	we	we	PRON
fuelectenerg-3144	277	10	will	will	AUX
fuelectenerg-3144	277	11	use	use	VERB
fuelectenerg-3144	277	12	“	"	PUNCT
fuelectenerg-3144	277	13	fsm	fsm	PROPN
fuelectenerg-3144	277	14	specification	specification	NOUN
fuelectenerg-3144	277	15	”	"	PUNCT
fuelectenerg-3144	277	16	to	to	PART
fuelectenerg-3144	277	17	refer	refer	VERB
fuelectenerg-3144	277	18	specifically	specifically	ADV
fuelectenerg-3144	277	19	to	to	ADP
fuelectenerg-3144	277	20	the	the	DET
fuelectenerg-3144	277	21	abstract	abstract	ADJ
fuelectenerg-3144	277	22	mathematical	mathematical	ADJ
fuelectenerg-3144	277	23	concept	concept	NOUN
fuelectenerg-3144	277	24	of	of	ADP
fuelectenerg-3144	277	25	an	an	DET
fuelectenerg-3144	277	26	fsm	fsm	PROPN
fuelectenerg-3144	277	27	.	.	PUNCT
fuelectenerg-3144	278	1	there	there	PRON
fuelectenerg-3144	278	2	always	always	ADV
fuelectenerg-3144	278	3	exist	exist	VERB
fuelectenerg-3144	278	4	many	many	ADJ
fuelectenerg-3144	278	5	possible	possible	ADJ
fuelectenerg-3144	278	6	implementations	implementation	NOUN
fuelectenerg-3144	278	7	of	of	ADP
fuelectenerg-3144	278	8	any	any	DET
fuelectenerg-3144	278	9	single	single	ADJ
fuelectenerg-3144	278	10	fsm	fsm	PROPN
fuelectenerg-3144	278	11	specification	specification	NOUN
fuelectenerg-3144	278	12	,	,	PUNCT
fuelectenerg-3144	278	13	since	since	SCONJ
fuelectenerg-3144	278	14	an	an	DET
fuelectenerg-3144	278	15	implementation	implementation	NOUN
fuelectenerg-3144	278	16	of	of	ADP
fuelectenerg-3144	278	17	an	an	DET
fuelectenerg-3144	278	18	fsm	fsm	PROPN
fuelectenerg-3144	278	19	is	be	AUX
fuelectenerg-3144	278	20	always	always	ADV
fuelectenerg-3144	278	21	associated	associate	VERB
fuelectenerg-3144	278	22	with	with	ADP
fuelectenerg-3144	278	23	some	some	DET
fuelectenerg-3144	278	24	encoding	encoding	NOUN
fuelectenerg-3144	278	25	and	and	CCONJ
fuelectenerg-3144	278	26	there	there	PRON
fuelectenerg-3144	278	27	are	be	VERB
fuelectenerg-3144	278	28	many	many	ADJ
fuelectenerg-3144	278	29	possible	possible	ADJ
fuelectenerg-3144	278	30	encodings	encoding	NOUN
fuelectenerg-3144	278	31	for	for	ADP
fuelectenerg-3144	278	32	any	any	DET
fuelectenerg-3144	278	33	given	give	VERB
fuelectenerg-3144	278	34	set	set	NOUN
fuelectenerg-3144	278	35	of	of	ADP
fuelectenerg-3144	278	36	states	state	NOUN
fuelectenerg-3144	278	37	or	or	CCONJ
fuelectenerg-3144	278	38	inputs	input	NOUN
fuelectenerg-3144	278	39	.	.	PUNCT
fuelectenerg-3144	279	1	the	the	DET
fuelectenerg-3144	279	2	differences	difference	NOUN
fuelectenerg-3144	279	3	between	between	ADP
fuelectenerg-3144	279	4	implementations	implementation	NOUN
fuelectenerg-3144	279	5	obtained	obtain	VERB
fuelectenerg-3144	279	6	with	with	ADP
fuelectenerg-3144	279	7	different	different	ADJ
fuelectenerg-3144	279	8	encodings	encoding	NOUN
fuelectenerg-3144	279	9	are	be	AUX
fuelectenerg-3144	279	10	of	of	ADP
fuelectenerg-3144	279	11	great	great	ADJ
fuelectenerg-3144	279	12	interest	interest	NOUN
fuelectenerg-3144	279	13	to	to	ADP
fuelectenerg-3144	279	14	the	the	DET
fuelectenerg-3144	279	15	digital	digital	ADJ
fuelectenerg-3144	279	16	logic	logic	NOUN
fuelectenerg-3144	279	17	designer	designer	NOUN
fuelectenerg-3144	279	18	.	.	PUNCT
fuelectenerg-3144	280	1	in	in	ADP
fuelectenerg-3144	280	2	particular	particular	ADJ
fuelectenerg-3144	280	3	,	,	PUNCT
fuelectenerg-3144	280	4	the	the	DET
fuelectenerg-3144	280	5	combinational	combinational	ADJ
fuelectenerg-3144	280	6	circuit	circuit	NOUN
fuelectenerg-3144	280	7	complexity	complexity	NOUN
fuelectenerg-3144	280	8	(	(	PUNCT
fuelectenerg-3144	280	9	as	as	SCONJ
fuelectenerg-3144	280	10	measured	measure	VERB
fuelectenerg-3144	280	11	,	,	PUNCT
fuelectenerg-3144	280	12	for	for	ADP
fuelectenerg-3144	280	13	instance	instance	NOUN
fuelectenerg-3144	280	14	,	,	PUNCT
fuelectenerg-3144	280	15	by	by	ADP
fuelectenerg-3144	280	16	the	the	DET
fuelectenerg-3144	280	17	number	number	NOUN
fuelectenerg-3144	280	18	of	of	ADP
fuelectenerg-3144	280	19	logic	logic	NOUN
fuelectenerg-3144	280	20	gates	gate	NOUN
fuelectenerg-3144	280	21	or	or	CCONJ
fuelectenerg-3144	280	22	the	the	DET
fuelectenerg-3144	280	23	maximum	maximum	ADJ
fuelectenerg-3144	280	24	delay	delay	NOUN
fuelectenerg-3144	280	25	)	)	PUNCT
fuelectenerg-3144	280	26	of	of	ADP
fuelectenerg-3144	280	27	implementations	implementation	NOUN
fuelectenerg-3144	280	28	may	may	AUX
fuelectenerg-3144	280	29	greatly	greatly	ADV
fuelectenerg-3144	280	30	vary	vary	VERB
fuelectenerg-3144	280	31	for	for	ADP
fuelectenerg-3144	280	32	different	different	ADJ
fuelectenerg-3144	280	33	encodings	encoding	NOUN
fuelectenerg-3144	280	34	.	.	PUNCT
fuelectenerg-3144	281	1	consider	consider	VERB
fuelectenerg-3144	281	2	the	the	DET
fuelectenerg-3144	281	3	fsm	fsm	NOUN
fuelectenerg-3144	281	4	whose	whose	DET
fuelectenerg-3144	281	5	transition	transition	NOUN
fuelectenerg-3144	281	6	function	function	NOUN
fuelectenerg-3144	281	7	is	be	AUX
fuelectenerg-3144	281	8	as	as	SCONJ
fuelectenerg-3144	281	9	given	give	VERB
fuelectenerg-3144	281	10	in	in	ADP
fuelectenerg-3144	281	11	figure	figure	NOUN
fuelectenerg-3144	281	12	2(a	2(a	NUM
fuelectenerg-3144	281	13	)	)	PUNCT
fuelectenerg-3144	281	14	.	.	PUNCT
fuelectenerg-3144	282	1	figure	figure	VERB
fuelectenerg-3144	282	2	2(b	2(b	NUM
fuelectenerg-3144	282	3	)	)	PUNCT
fuelectenerg-3144	282	4	depicts	depict	VERB
fuelectenerg-3144	282	5	a	a	DET
fuelectenerg-3144	282	6	possible	possible	ADJ
fuelectenerg-3144	282	7	encoding	encoding	NOUN
fuelectenerg-3144	282	8	for	for	ADP
fuelectenerg-3144	282	9	the	the	DET
fuelectenerg-3144	282	10	fsm	fsm	PROPN
fuelectenerg-3144	282	11	where	where	SCONJ
fuelectenerg-3144	282	12	the	the	DET
fuelectenerg-3144	282	13	four	four	NUM
fuelectenerg-3144	282	14	possible	possible	ADJ
fuelectenerg-3144	282	15	two	two	NUM
fuelectenerg-3144	282	16	-	-	PUNCT
fuelectenerg-3144	282	17	bit	bit	NOUN
fuelectenerg-3144	282	18	strings	string	NOUN
fuelectenerg-3144	282	19	are	be	AUX
fuelectenerg-3144	282	20	simply	simply	ADV
fuelectenerg-3144	282	21	allocated	allocate	VERB
fuelectenerg-3144	282	22	in	in	ADP
fuelectenerg-3144	282	23	the	the	DET
fuelectenerg-3144	282	24	usual	usual	ADJ
fuelectenerg-3144	282	25	base	base	NOUN
fuelectenerg-3144	282	26	-	-	PUNCT
fuelectenerg-3144	282	27	two	two	NUM
fuelectenerg-3144	282	28	counting	counting	NOUN
fuelectenerg-3144	282	29	order	order	NOUN
fuelectenerg-3144	282	30	(	(	PUNCT
fuelectenerg-3144	282	31	00	00	NUM
fuelectenerg-3144	282	32	first	first	ADV
fuelectenerg-3144	282	33	,	,	PUNCT
fuelectenerg-3144	282	34	then	then	ADV
fuelectenerg-3144	282	35	01	01	NUM
fuelectenerg-3144	282	36	,	,	PUNCT
fuelectenerg-3144	282	37	10	10	NUM
fuelectenerg-3144	282	38	,	,	PUNCT
fuelectenerg-3144	282	39	and	and	CCONJ
fuelectenerg-3144	282	40	11	11	NUM
fuelectenerg-3144	282	41	)	)	PUNCT
fuelectenerg-3144	282	42	.	.	PUNCT
fuelectenerg-3144	283	1	figure	figure	VERB
fuelectenerg-3144	283	2	2(c	2(c	NUM
fuelectenerg-3144	283	3	)	)	PUNCT
fuelectenerg-3144	283	4	then	then	ADV
fuelectenerg-3144	283	5	shows	show	VERB
fuelectenerg-3144	283	6	the	the	DET
fuelectenerg-3144	283	7	resulting	result	VERB
fuelectenerg-3144	283	8	encoded	encode	VERB
fuelectenerg-3144	283	9	transition	transition	NOUN
fuelectenerg-3144	283	10	functions	function	NOUN
fuelectenerg-3144	283	11	.	.	PUNCT
fuelectenerg-3144	284	1	these	these	DET
fuelectenerg-3144	284	2	functions	function	NOUN
fuelectenerg-3144	284	3	may	may	AUX
fuelectenerg-3144	284	4	be	be	AUX
fuelectenerg-3144	284	5	represented	represent	VERB
fuelectenerg-3144	284	6	by	by	ADP
fuelectenerg-3144	284	7	the	the	DET
fuelectenerg-3144	284	8	following	follow	VERB
fuelectenerg-3144	284	9	logical	logical	ADJ
fuelectenerg-3144	284	10	expressions	expression	NOUN
fuelectenerg-3144	284	11	:	:	PUNCT
fuelectenerg-3144	284	12	q+	q+	ADP
fuelectenerg-3144	284	13	1	1	NUM
fuelectenerg-3144	284	14	=	=	SYM
fuelectenerg-3144	284	15	(	(	PUNCT
fuelectenerg-3144	284	16	q1	q1	PROPN
fuelectenerg-3144	284	17	∧	∧	PROPN
fuelectenerg-3144	284	18	x2	x2	PROPN
fuelectenerg-3144	284	19	)	)	PUNCT
fuelectenerg-3144	284	20	∨	∨	PROPN
fuelectenerg-3144	284	21	(	(	PUNCT
fuelectenerg-3144	284	22	q1	q1	PROPN
fuelectenerg-3144	284	23	∧	∧	PROPN
fuelectenerg-3144	284	24	¬q2	¬q2	ADJ
fuelectenerg-3144	284	25	∧	∧	PROPN
fuelectenerg-3144	284	26	x1	x1	PROPN
fuelectenerg-3144	284	27	)	)	PUNCT
fuelectenerg-3144	284	28	∨	∨	PROPN
fuelectenerg-3144	284	29	(	(	PUNCT
fuelectenerg-3144	284	30	¬q1	¬q1	NOUN
fuelectenerg-3144	284	31	∧q2	∧q2	VERB
fuelectenerg-3144	284	32	∧	∧	PROPN
fuelectenerg-3144	284	33	x1	x1	PROPN
fuelectenerg-3144	284	34	)	)	PUNCT
fuelectenerg-3144	284	35	∨	∨	PROPN
fuelectenerg-3144	284	36	(	(	PUNCT
fuelectenerg-3144	284	37	q2	q2	NOUN
fuelectenerg-3144	284	38	∧	∧	PROPN
fuelectenerg-3144	284	39	¬x1	¬x1	NOUN
fuelectenerg-3144	284	40	∧	∧	PROPN
fuelectenerg-3144	284	41	¬x2	¬x2	NOUN
fuelectenerg-3144	284	42	)	)	PUNCT
fuelectenerg-3144	284	43	∨	∨	NUM
fuelectenerg-3144	284	44	(	(	PUNCT
fuelectenerg-3144	284	45	x1	x1	PROPN
fuelectenerg-3144	284	46	∧	∧	PROPN
fuelectenerg-3144	284	47	x2	x2	PROPN
fuelectenerg-3144	284	48	)	)	PUNCT
fuelectenerg-3144	284	49	,	,	PUNCT
fuelectenerg-3144	284	50	q+	q+	ADP
fuelectenerg-3144	284	51	2	2	NUM
fuelectenerg-3144	284	52	=	=	SYM
fuelectenerg-3144	284	53	(	(	PUNCT
fuelectenerg-3144	284	54	q1	q1	PROPN
fuelectenerg-3144	284	55	∧q2	∧q2	VERB
fuelectenerg-3144	284	56	∧	∧	PROPN
fuelectenerg-3144	284	57	¬x1	¬x1	NOUN
fuelectenerg-3144	284	58	)	)	PUNCT
fuelectenerg-3144	284	59	∨	∨	PROPN
fuelectenerg-3144	284	60	(	(	PUNCT
fuelectenerg-3144	284	61	q1	q1	PROPN
fuelectenerg-3144	284	62	∧q2	∧q2	VERB
fuelectenerg-3144	284	63	∧	∧	PROPN
fuelectenerg-3144	284	64	¬x2	¬x2	NOUN
fuelectenerg-3144	284	65	)	)	PUNCT
fuelectenerg-3144	284	66	∨	∨	NOUN
fuelectenerg-3144	284	67	(	(	PUNCT
fuelectenerg-3144	284	68	¬q1	¬q1	NOUN
fuelectenerg-3144	284	69	∧	∧	PROPN
fuelectenerg-3144	284	70	¬q2	¬q2	ADJ
fuelectenerg-3144	284	71	∧	∧	PROPN
fuelectenerg-3144	284	72	¬x1	¬x1	NOUN
fuelectenerg-3144	284	73	)	)	PUNCT
fuelectenerg-3144	284	74	∨(¬q1	∨(¬q1	DET
fuelectenerg-3144	284	75	∧	∧	PROPN
fuelectenerg-3144	284	76	¬q2	¬q2	ADJ
fuelectenerg-3144	284	77	∧	∧	PROPN
fuelectenerg-3144	284	78	¬x2	¬x2	NOUN
fuelectenerg-3144	284	79	)	)	PUNCT
fuelectenerg-3144	284	80	∨	∨	NUM
fuelectenerg-3144	284	81	(	(	PUNCT
fuelectenerg-3144	284	82	¬x1	¬x1	NOUN
fuelectenerg-3144	284	83	∧	∧	PROPN
fuelectenerg-3144	284	84	¬x2	¬x2	NOUN
fuelectenerg-3144	284	85	)	)	PUNCT
fuelectenerg-3144	284	86	,	,	PUNCT
fuelectenerg-3144	284	87	which	which	PRON
fuelectenerg-3144	284	88	show	show	VERB
fuelectenerg-3144	284	89	that	that	SCONJ
fuelectenerg-3144	284	90	both	both	DET
fuelectenerg-3144	284	91	q+	q+	ADP
fuelectenerg-3144	284	92	1	1	NUM
fuelectenerg-3144	284	93	and	and	CCONJ
fuelectenerg-3144	284	94	q+	q+	ADP
fuelectenerg-3144	284	95	2	2	NUM
fuelectenerg-3144	284	96	depend	depend	VERB
fuelectenerg-3144	284	97	on	on	ADP
fuelectenerg-3144	284	98	all	all	DET
fuelectenerg-3144	284	99	four	four	NUM
fuelectenerg-3144	284	100	state	state	NOUN
fuelectenerg-3144	284	101	/	/	SYM
fuelectenerg-3144	284	102	input	input	NOUN
fuelectenerg-3144	284	103	variables	variable	NOUN
fuelectenerg-3144	284	104	(	(	PUNCT
fuelectenerg-3144	284	105	q1	q1	PROPN
fuelectenerg-3144	284	106	,	,	PUNCT
fuelectenerg-3144	284	107	q2	q2	NOUN
fuelectenerg-3144	284	108	,	,	PUNCT
fuelectenerg-3144	284	109	x1	x1	PROPN
fuelectenerg-3144	284	110	,	,	PUNCT
fuelectenerg-3144	284	111	and	and	CCONJ
fuelectenerg-3144	284	112	x2	x2	NUM
fuelectenerg-3144	284	113	)	)	PUNCT
fuelectenerg-3144	284	114	.	.	PUNCT
fuelectenerg-3144	285	1	in	in	ADP
fuelectenerg-3144	285	2	comparison	comparison	NOUN
fuelectenerg-3144	285	3	,	,	PUNCT
fuelectenerg-3144	285	4	if	if	SCONJ
fuelectenerg-3144	285	5	the	the	DET
fuelectenerg-3144	285	6	encoding	encoding	NOUN
fuelectenerg-3144	285	7	shown	show	VERB
fuelectenerg-3144	285	8	in	in	ADP
fuelectenerg-3144	285	9	figure	figure	NOUN
fuelectenerg-3144	285	10	2(d	2(d	NUM
fuelectenerg-3144	285	11	)	)	PUNCT
fuelectenerg-3144	285	12	is	be	AUX
fuelectenerg-3144	285	13	used	use	VERB
fuelectenerg-3144	285	14	instead	instead	ADV
fuelectenerg-3144	285	15	,	,	PUNCT
fuelectenerg-3144	285	16	then	then	ADV
fuelectenerg-3144	285	17	the	the	DET
fuelectenerg-3144	285	18	encoded	encode	VERB
fuelectenerg-3144	285	19	transition	transition	NOUN
fuelectenerg-3144	285	20	functions	function	NOUN
fuelectenerg-3144	285	21	are	be	AUX
fuelectenerg-3144	285	22	as	as	ADP
fuelectenerg-3144	285	23	shown	show	VERB
fuelectenerg-3144	285	24	in	in	ADP
fuelectenerg-3144	285	25	figure	figure	NOUN
fuelectenerg-3144	285	26	2(e	2(e	NUM
fuelectenerg-3144	285	27	)	)	PUNCT
fuelectenerg-3144	285	28	and	and	CCONJ
fuelectenerg-3144	285	29	may	may	AUX
fuelectenerg-3144	285	30	be	be	AUX
fuelectenerg-3144	285	31	represented	represent	VERB
fuelectenerg-3144	285	32	by	by	ADP
fuelectenerg-3144	285	33	the	the	DET
fuelectenerg-3144	285	34	expressions	expression	NOUN
fuelectenerg-3144	285	35	q+	q+	PUNCT
fuelectenerg-3144	285	36	1	1	NUM
fuelectenerg-3144	285	37	=	=	SYM
fuelectenerg-3144	285	38	q2	q2	PROPN
fuelectenerg-3144	285	39	∨	∨	NUM
fuelectenerg-3144	285	40	¬x1	¬x1	NOUN
fuelectenerg-3144	285	41	,	,	PUNCT
fuelectenerg-3144	285	42	q+	q+	ADV
fuelectenerg-3144	285	43	2	2	NUM
fuelectenerg-3144	285	44	=	=	SYM
fuelectenerg-3144	285	45	(	(	PUNCT
fuelectenerg-3144	285	46	q1	q1	NOUN
fuelectenerg-3144	285	47	∧	∧	PROPN
fuelectenerg-3144	285	48	¬x1	¬x1	NOUN
fuelectenerg-3144	285	49	)	)	PUNCT
fuelectenerg-3144	285	50	∨	∨	PROPN
fuelectenerg-3144	285	51	(	(	PUNCT
fuelectenerg-3144	285	52	q1	q1	PROPN
fuelectenerg-3144	285	53	∧	∧	PROPN
fuelectenerg-3144	285	54	x2	x2	PROPN
fuelectenerg-3144	285	55	)	)	PUNCT
fuelectenerg-3144	285	56	∨	∨	NUM
fuelectenerg-3144	285	57	(	(	PUNCT
fuelectenerg-3144	285	58	¬x1	¬x1	NOUN
fuelectenerg-3144	285	59	∧	∧	PROPN
fuelectenerg-3144	285	60	¬x2	¬x2	NOUN
fuelectenerg-3144	285	61	)	)	PUNCT
fuelectenerg-3144	285	62	,	,	PUNCT
fuelectenerg-3144	285	63	where	where	SCONJ
fuelectenerg-3144	285	64	we	we	PRON
fuelectenerg-3144	285	65	observe	observe	VERB
fuelectenerg-3144	285	66	that	that	SCONJ
fuelectenerg-3144	285	67	q+	q+	ADP
fuelectenerg-3144	285	68	1	1	NUM
fuelectenerg-3144	285	69	depends	depend	VERB
fuelectenerg-3144	285	70	on	on	ADP
fuelectenerg-3144	285	71	only	only	ADV
fuelectenerg-3144	285	72	two	two	NUM
fuelectenerg-3144	285	73	variables	variable	NOUN
fuelectenerg-3144	285	74	(	(	PUNCT
fuelectenerg-3144	285	75	q2	q2	NOUN
fuelectenerg-3144	285	76	and	and	CCONJ
fuelectenerg-3144	285	77	x1	x1	NUM
fuelectenerg-3144	285	78	)	)	PUNCT
fuelectenerg-3144	285	79	and	and	CCONJ
fuelectenerg-3144	285	80	q+	q+	ADP
fuelectenerg-3144	285	81	2	2	NUM
fuelectenerg-3144	285	82	depends	depend	VERB
fuelectenerg-3144	285	83	on	on	ADP
fuelectenerg-3144	285	84	three	three	NUM
fuelectenerg-3144	285	85	(	(	PUNCT
fuelectenerg-3144	285	86	q1	q1	PROPN
fuelectenerg-3144	285	87	,	,	PUNCT
fuelectenerg-3144	285	88	x1	x1	PROPN
fuelectenerg-3144	285	89	,	,	PUNCT
fuelectenerg-3144	285	90	and	and	CCONJ
fuelectenerg-3144	285	91	x2	x2	NUM
fuelectenerg-3144	285	92	)	)	PUNCT
fuelectenerg-3144	285	93	.	.	PUNCT
fuelectenerg-3144	286	1	we	we	PRON
fuelectenerg-3144	286	2	therefore	therefore	ADV
fuelectenerg-3144	286	3	see	see	VERB
fuelectenerg-3144	286	4	that	that	SCONJ
fuelectenerg-3144	286	5	between	between	ADP
fuelectenerg-3144	286	6	these	these	DET
fuelectenerg-3144	286	7	two	two	NUM
fuelectenerg-3144	286	8	encodings	encoding	NOUN
fuelectenerg-3144	286	9	,	,	PUNCT
fuelectenerg-3144	286	10	the	the	DET
fuelectenerg-3144	286	11	encoding	encoding	NOUN
fuelectenerg-3144	286	12	from	from	ADP
fuelectenerg-3144	286	13	figure	figure	NOUN
fuelectenerg-3144	286	14	2(d	2(d	NUM
fuelectenerg-3144	286	15	)	)	PUNCT
fuelectenerg-3144	286	16	results	result	NOUN
fuelectenerg-3144	286	17	in	in	ADP
fuelectenerg-3144	286	18	encoded	encode	VERB
fuelectenerg-3144	286	19	transition	transition	NOUN
fuelectenerg-3144	286	20	functions	function	NOUN
fuelectenerg-3144	286	21	that	that	PRON
fuelectenerg-3144	286	22	depend	depend	VERB
fuelectenerg-3144	286	23	on	on	ADP
fuelectenerg-3144	286	24	less	less	ADJ
fuelectenerg-3144	286	25	variables	variable	NOUN
fuelectenerg-3144	286	26	.	.	PUNCT
fuelectenerg-3144	287	1	if	if	SCONJ
fuelectenerg-3144	287	2	we	we	PRON
fuelectenerg-3144	287	3	make	make	VERB
fuelectenerg-3144	287	4	the	the	DET
fuelectenerg-3144	287	5	reasonable	reasonable	ADJ
fuelectenerg-3144	287	6	assumption	assumption	NOUN
fuelectenerg-3144	287	7	that	that	SCONJ
fuelectenerg-3144	287	8	the	the	DET
fuelectenerg-3144	287	9	complexity	complexity	NOUN
fuelectenerg-3144	287	10	of	of	ADP
fuelectenerg-3144	287	11	a	a	DET
fuelectenerg-3144	287	12	digital	digital	ADJ
fuelectenerg-3144	287	13	logic	logic	NOUN
fuelectenerg-3144	287	14	circuit	circuit	NOUN
fuelectenerg-3144	287	15	is	be	AUX
fuelectenerg-3144	287	16	correlated	correlate	VERB
fuelectenerg-3144	287	17	with	with	ADP
fuelectenerg-3144	287	18	its	its	PRON
fuelectenerg-3144	287	19	number	number	NOUN
fuelectenerg-3144	287	20	of	of	ADP
fuelectenerg-3144	287	21	inputs	input	NOUN
fuelectenerg-3144	287	22	,	,	PUNCT
fuelectenerg-3144	287	23	then	then	ADV
fuelectenerg-3144	287	24	we	we	PRON
fuelectenerg-3144	287	25	would	would	AUX
fuelectenerg-3144	287	26	expect	expect	VERB
fuelectenerg-3144	287	27	the	the	DET
fuelectenerg-3144	287	28	encoding	encoding	NOUN
fuelectenerg-3144	287	29	from	from	ADP
fuelectenerg-3144	287	30	figure	figure	NOUN
fuelectenerg-3144	287	31	2(d	2(d	NUM
fuelectenerg-3144	287	32	)	)	PUNCT
fuelectenerg-3144	287	33	to	to	PART
fuelectenerg-3144	287	34	ultimately	ultimately	ADV
fuelectenerg-3144	287	35	result	result	VERB
fuelectenerg-3144	287	36	in	in	ADP
fuelectenerg-3144	287	37	a	a	DET
fuelectenerg-3144	287	38	7	7	NUM
fuelectenerg-3144	287	39	174	174	NUM
fuelectenerg-3144	287	40	e.	e.	PROPN
fuelectenerg-3144	287	41	tsai	tsai	PROPN
fuelectenerg-3144	287	42	,	,	PUNCT
fuelectenerg-3144	287	43	m.	m.	PROPN
fuelectenerg-3144	287	44	perkowski	perkowski	PROPN
fuelectenerg-3144	287	45	a	a	DET
fuelectenerg-3144	287	46	quantum	quantum	ADJ
fuelectenerg-3144	287	47	algorithm	algorithm	NOUN
fuelectenerg-3144	287	48	for	for	ADP
fuelectenerg-3144	287	49	automata	automata	NOUN
fuelectenerg-3144	287	50	encoding	encode	VERB
fuelectenerg-3144	287	51	175	175	NUM
fuelectenerg-3144	287	52	i1	i1	PROPN
fuelectenerg-3144	287	53	i2	i2	PROPN
fuelectenerg-3144	287	54	i3	i3	PROPN
fuelectenerg-3144	287	55	i4	i4	PROPN
fuelectenerg-3144	287	56	s1	s1	PROPN
fuelectenerg-3144	287	57	s2	s2	PROPN
fuelectenerg-3144	287	58	s3	s3	PROPN
fuelectenerg-3144	287	59	s4	s4	PROPN
fuelectenerg-3144	287	60	s2	s2	PROPN
fuelectenerg-3144	287	61	s2	s2	PROPN
fuelectenerg-3144	287	62	s2	s2	NOUN
fuelectenerg-3144	287	63	s3	s3	PROPN
fuelectenerg-3144	287	64	s4	s4	PROPN
fuelectenerg-3144	287	65	s1	s1	PROPN
fuelectenerg-3144	287	66	s3	s3	PROPN
fuelectenerg-3144	287	67	s3	s3	PROPN
fuelectenerg-3144	287	68	s2	s2	PROPN
fuelectenerg-3144	287	69	s3	s3	PROPN
fuelectenerg-3144	287	70	s3	s3	PROPN
fuelectenerg-3144	287	71	s3	s3	PROPN
fuelectenerg-3144	287	72	s4	s4	PROPN
fuelectenerg-3144	287	73	s4	s4	PROPN
fuelectenerg-3144	287	74	s2	s2	PROPN
fuelectenerg-3144	287	75	s3	s3	PROPN
fuelectenerg-3144	287	76	(	(	PUNCT
fuelectenerg-3144	287	77	a	a	NOUN
fuelectenerg-3144	287	78	)	)	PUNCT
fuelectenerg-3144	287	79	q1q2s	q1q2s	PUNCT
fuelectenerg-3144	288	1	s1	s1	NOUN
fuelectenerg-3144	288	2	0	0	NUM
fuelectenerg-3144	288	3	0	0	NUM
fuelectenerg-3144	288	4	s2	s2	NOUN
fuelectenerg-3144	288	5	0	0	NUM
fuelectenerg-3144	288	6	1	1	NUM
fuelectenerg-3144	288	7	s3	s3	NOUN
fuelectenerg-3144	288	8	1	1	NUM
fuelectenerg-3144	288	9	0	0	NUM
fuelectenerg-3144	288	10	s4	s4	PROPN
fuelectenerg-3144	288	11	1	1	NUM
fuelectenerg-3144	288	12	1	1	NUM
fuelectenerg-3144	288	13	x1	x1	PROPN
fuelectenerg-3144	288	14	x2i	x2i	PROPN
fuelectenerg-3144	288	15	i1	i1	PROPN
fuelectenerg-3144	288	16	0	0	NUM
fuelectenerg-3144	288	17	0	0	NUM
fuelectenerg-3144	289	1	i2	i2	NOUN
fuelectenerg-3144	289	2	0	0	NUM
fuelectenerg-3144	289	3	1	1	NUM
fuelectenerg-3144	289	4	i3	i3	NOUN
fuelectenerg-3144	289	5	1	1	NUM
fuelectenerg-3144	289	6	0	0	NUM
fuelectenerg-3144	289	7	i4	i4	PROPN
fuelectenerg-3144	289	8	1	1	NUM
fuelectenerg-3144	289	9	1	1	NUM
fuelectenerg-3144	289	10	(	(	PUNCT
fuelectenerg-3144	289	11	b	b	NOUN
fuelectenerg-3144	289	12	)	)	PUNCT
fuelectenerg-3144	289	13	00	00	NUM
fuelectenerg-3144	290	1	01	01	NUM
fuelectenerg-3144	290	2	11	11	NUM
fuelectenerg-3144	290	3	10	10	NUM
fuelectenerg-3144	290	4	00	00	NUM
fuelectenerg-3144	290	5	01	01	NUM
fuelectenerg-3144	290	6	11	11	NUM
fuelectenerg-3144	290	7	10	10	NUM
fuelectenerg-3144	290	8	0	0	NUM
fuelectenerg-3144	290	9	0	0	NUM
fuelectenerg-3144	290	10	1	1	NUM
fuelectenerg-3144	290	11	0	0	NUM
fuelectenerg-3144	290	12	1	1	NUM
fuelectenerg-3144	290	13	0	0	NUM
fuelectenerg-3144	290	14	1	1	NUM
fuelectenerg-3144	290	15	1	1	NUM
fuelectenerg-3144	290	16	1	1	NUM
fuelectenerg-3144	290	17	1	1	NUM
fuelectenerg-3144	290	18	1	1	NUM
fuelectenerg-3144	290	19	0	0	NUM
fuelectenerg-3144	290	20	0	0	NUM
fuelectenerg-3144	290	21	1	1	NUM
fuelectenerg-3144	290	22	1	1	NUM
fuelectenerg-3144	290	23	1	1	NUM
fuelectenerg-3144	290	24	q1q2	q1q2	NOUN
fuelectenerg-3144	290	25	x1x2	x1x2	X
fuelectenerg-3144	290	26	q+	q+	ADP
fuelectenerg-3144	290	27	1	1	NUM
fuelectenerg-3144	290	28	00	00	NUM
fuelectenerg-3144	290	29	01	01	NUM
fuelectenerg-3144	290	30	11	11	NUM
fuelectenerg-3144	290	31	10	10	NUM
fuelectenerg-3144	290	32	00	00	NUM
fuelectenerg-3144	290	33	01	01	NUM
fuelectenerg-3144	290	34	11	11	NUM
fuelectenerg-3144	290	35	10	10	NUM
fuelectenerg-3144	290	36	1	1	NUM
fuelectenerg-3144	290	37	1	1	NUM
fuelectenerg-3144	290	38	0	0	NUM
fuelectenerg-3144	290	39	1	1	NUM
fuelectenerg-3144	290	40	1	1	NUM
fuelectenerg-3144	290	41	0	0	NUM
fuelectenerg-3144	290	42	0	0	NUM
fuelectenerg-3144	290	43	0	0	NUM
fuelectenerg-3144	290	44	1	1	NUM
fuelectenerg-3144	290	45	1	1	NUM
fuelectenerg-3144	290	46	0	0	NUM
fuelectenerg-3144	290	47	1	1	NUM
fuelectenerg-3144	290	48	1	1	NUM
fuelectenerg-3144	290	49	0	0	NUM
fuelectenerg-3144	290	50	0	0	NUM
fuelectenerg-3144	290	51	0	0	X
fuelectenerg-3144	291	1	q1q2	q1q2	NOUN
fuelectenerg-3144	291	2	x1x2	x1x2	X
fuelectenerg-3144	291	3	q+	q+	ADP
fuelectenerg-3144	291	4	2	2	NUM
fuelectenerg-3144	291	5	(	(	PUNCT
fuelectenerg-3144	291	6	c	c	NOUN
fuelectenerg-3144	291	7	)	)	PUNCT
fuelectenerg-3144	291	8	q1q2s	q1q2s	PUNCT
fuelectenerg-3144	291	9	s1	s1	NOUN
fuelectenerg-3144	291	10	0	0	NUM
fuelectenerg-3144	291	11	1	1	NUM
fuelectenerg-3144	291	12	s2	s2	NOUN
fuelectenerg-3144	291	13	1	1	NUM
fuelectenerg-3144	291	14	0	0	NUM
fuelectenerg-3144	291	15	s3	s3	NOUN
fuelectenerg-3144	291	16	1	1	NUM
fuelectenerg-3144	291	17	1	1	NUM
fuelectenerg-3144	291	18	s4	s4	NOUN
fuelectenerg-3144	291	19	0	0	NUM
fuelectenerg-3144	291	20	0	0	NUM
fuelectenerg-3144	292	1	x1	x1	PROPN
fuelectenerg-3144	292	2	x2i	x2i	PROPN
fuelectenerg-3144	292	3	i1	i1	PROPN
fuelectenerg-3144	292	4	1	1	NUM
fuelectenerg-3144	292	5	0	0	NUM
fuelectenerg-3144	292	6	i2	i2	NOUN
fuelectenerg-3144	292	7	1	1	NUM
fuelectenerg-3144	292	8	1	1	NUM
fuelectenerg-3144	292	9	i3	i3	NOUN
fuelectenerg-3144	292	10	0	0	NUM
fuelectenerg-3144	292	11	1	1	NUM
fuelectenerg-3144	292	12	i4	i4	PROPN
fuelectenerg-3144	292	13	0	0	NUM
fuelectenerg-3144	292	14	0	0	NUM
fuelectenerg-3144	293	1	(	(	PUNCT
fuelectenerg-3144	293	2	d	d	NOUN
fuelectenerg-3144	293	3	)	)	PUNCT
fuelectenerg-3144	293	4	00	00	NUM
fuelectenerg-3144	294	1	01	01	NUM
fuelectenerg-3144	294	2	11	11	NUM
fuelectenerg-3144	294	3	10	10	NUM
fuelectenerg-3144	294	4	00	00	NUM
fuelectenerg-3144	294	5	01	01	NUM
fuelectenerg-3144	294	6	11	11	NUM
fuelectenerg-3144	294	7	10	10	NUM
fuelectenerg-3144	294	8	1	1	NUM
fuelectenerg-3144	294	9	1	1	NUM
fuelectenerg-3144	294	10	0	0	NUM
fuelectenerg-3144	294	11	0	0	NUM
fuelectenerg-3144	294	12	1	1	NUM
fuelectenerg-3144	294	13	1	1	NUM
fuelectenerg-3144	294	14	1	1	NUM
fuelectenerg-3144	294	15	1	1	NUM
fuelectenerg-3144	294	16	1	1	NUM
fuelectenerg-3144	294	17	1	1	NUM
fuelectenerg-3144	294	18	1	1	NUM
fuelectenerg-3144	294	19	1	1	NUM
fuelectenerg-3144	294	20	1	1	NUM
fuelectenerg-3144	294	21	1	1	NUM
fuelectenerg-3144	294	22	0	0	NUM
fuelectenerg-3144	294	23	0	0	NUM
fuelectenerg-3144	295	1	q1q2	q1q2	NOUN
fuelectenerg-3144	295	2	x1x2	x1x2	X
fuelectenerg-3144	295	3	q+	q+	ADP
fuelectenerg-3144	295	4	1	1	NUM
fuelectenerg-3144	295	5	00	00	NUM
fuelectenerg-3144	295	6	01	01	NUM
fuelectenerg-3144	295	7	11	11	NUM
fuelectenerg-3144	295	8	10	10	NUM
fuelectenerg-3144	295	9	00	00	NUM
fuelectenerg-3144	295	10	01	01	NUM
fuelectenerg-3144	295	11	11	11	NUM
fuelectenerg-3144	295	12	10	10	NUM
fuelectenerg-3144	295	13	1	1	NUM
fuelectenerg-3144	295	14	0	0	NUM
fuelectenerg-3144	295	15	0	0	NUM
fuelectenerg-3144	295	16	0	0	NUM
fuelectenerg-3144	295	17	1	1	NUM
fuelectenerg-3144	295	18	0	0	NUM
fuelectenerg-3144	295	19	0	0	NUM
fuelectenerg-3144	295	20	0	0	NUM
fuelectenerg-3144	295	21	1	1	NUM
fuelectenerg-3144	295	22	1	1	NUM
fuelectenerg-3144	295	23	1	1	NUM
fuelectenerg-3144	295	24	0	0	NUM
fuelectenerg-3144	295	25	1	1	NUM
fuelectenerg-3144	295	26	1	1	NUM
fuelectenerg-3144	295	27	1	1	NUM
fuelectenerg-3144	295	28	0	0	X
fuelectenerg-3144	296	1	q1q2	q1q2	NOUN
fuelectenerg-3144	296	2	x1x2	x1x2	X
fuelectenerg-3144	296	3	q+	q+	ADP
fuelectenerg-3144	296	4	2	2	NUM
fuelectenerg-3144	296	5	(	(	PUNCT
fuelectenerg-3144	296	6	e	e	NOUN
fuelectenerg-3144	296	7	)	)	PUNCT
fuelectenerg-3144	296	8	figure	figure	NOUN
fuelectenerg-3144	296	9	2	2	NUM
fuelectenerg-3144	296	10	:	:	PUNCT
fuelectenerg-3144	296	11	(	(	PUNCT
fuelectenerg-3144	296	12	a	a	X
fuelectenerg-3144	296	13	)	)	PUNCT
fuelectenerg-3144	296	14	transition	transition	NOUN
fuelectenerg-3144	296	15	table	table	NOUN
fuelectenerg-3144	296	16	for	for	ADP
fuelectenerg-3144	296	17	an	an	DET
fuelectenerg-3144	296	18	fsm	fsm	PROPN
fuelectenerg-3144	296	19	;	;	PUNCT
fuelectenerg-3144	296	20	(	(	PUNCT
fuelectenerg-3144	296	21	b	b	X
fuelectenerg-3144	296	22	)	)	PUNCT
fuelectenerg-3144	296	23	an	an	DET
fuelectenerg-3144	296	24	encoding	encoding	NOUN
fuelectenerg-3144	296	25	for	for	ADP
fuelectenerg-3144	296	26	that	that	DET
fuelectenerg-3144	296	27	fsm	fsm	PROPN
fuelectenerg-3144	296	28	;	;	PUNCT
fuelectenerg-3144	296	29	(	(	PUNCT
fuelectenerg-3144	296	30	c	c	X
fuelectenerg-3144	296	31	)	)	PUNCT
fuelectenerg-3144	296	32	resulting	result	VERB
fuelectenerg-3144	296	33	encoded	encode	VERB
fuelectenerg-3144	296	34	transition	transition	NOUN
fuelectenerg-3144	296	35	functions	function	NOUN
fuelectenerg-3144	296	36	from	from	ADP
fuelectenerg-3144	296	37	that	that	DET
fuelectenerg-3144	296	38	encoding	encoding	NOUN
fuelectenerg-3144	296	39	;	;	PUNCT
fuelectenerg-3144	296	40	(	(	PUNCT
fuelectenerg-3144	296	41	d	d	X
fuelectenerg-3144	296	42	)	)	PUNCT
fuelectenerg-3144	296	43	another	another	DET
fuelectenerg-3144	296	44	encoding	encoding	NOUN
fuelectenerg-3144	296	45	for	for	ADP
fuelectenerg-3144	296	46	the	the	DET
fuelectenerg-3144	296	47	same	same	ADJ
fuelectenerg-3144	296	48	fsm	fsm	PROPN
fuelectenerg-3144	296	49	;	;	PUNCT
fuelectenerg-3144	296	50	(	(	PUNCT
fuelectenerg-3144	296	51	e	e	NOUN
fuelectenerg-3144	296	52	)	)	PUNCT
fuelectenerg-3144	296	53	resulting	result	VERB
fuelectenerg-3144	296	54	encoded	encode	VERB
fuelectenerg-3144	296	55	transition	transition	NOUN
fuelectenerg-3144	296	56	functions	function	NOUN
fuelectenerg-3144	296	57	.	.	PUNCT
fuelectenerg-3144	297	1	8	8	NUM
fuelectenerg-3144	297	2	less	less	ADV
fuelectenerg-3144	297	3	complex	complex	ADJ
fuelectenerg-3144	297	4	digital	digital	ADJ
fuelectenerg-3144	297	5	logic	logic	NOUN
fuelectenerg-3144	297	6	circuit	circuit	NOUN
fuelectenerg-3144	297	7	,	,	PUNCT
fuelectenerg-3144	297	8	since	since	SCONJ
fuelectenerg-3144	297	9	the	the	DET
fuelectenerg-3144	297	10	next	next	ADJ
fuelectenerg-3144	297	11	-	-	PUNCT
fuelectenerg-3144	297	12	state	state	NOUN
fuelectenerg-3144	297	13	logic	logic	NOUN
fuelectenerg-3144	297	14	for	for	ADP
fuelectenerg-3144	297	15	both	both	DET
fuelectenerg-3144	297	16	flipflops	flipflop	NOUN
fuelectenerg-3144	297	17	would	would	AUX
fuelectenerg-3144	297	18	involve	involve	VERB
fuelectenerg-3144	297	19	fewer	few	ADJ
fuelectenerg-3144	297	20	variables	variable	NOUN
fuelectenerg-3144	297	21	.	.	PUNCT
fuelectenerg-3144	298	1	of	of	ADP
fuelectenerg-3144	298	2	course	course	NOUN
fuelectenerg-3144	298	3	,	,	PUNCT
fuelectenerg-3144	298	4	this	this	DET
fuelectenerg-3144	298	5	correlation	correlation	NOUN
fuelectenerg-3144	298	6	between	between	ADP
fuelectenerg-3144	298	7	complexity	complexity	NOUN
fuelectenerg-3144	298	8	and	and	CCONJ
fuelectenerg-3144	298	9	number	number	NOUN
fuelectenerg-3144	298	10	of	of	ADP
fuelectenerg-3144	298	11	inputs	input	NOUN
fuelectenerg-3144	298	12	depends	depend	VERB
fuelectenerg-3144	298	13	on	on	ADP
fuelectenerg-3144	298	14	the	the	DET
fuelectenerg-3144	298	15	precise	precise	ADJ
fuelectenerg-3144	298	16	definition	definition	NOUN
fuelectenerg-3144	298	17	of	of	ADP
fuelectenerg-3144	298	18	complexity	complexity	NOUN
fuelectenerg-3144	298	19	used	use	VERB
fuelectenerg-3144	298	20	,	,	PUNCT
fuelectenerg-3144	298	21	and	and	CCONJ
fuelectenerg-3144	298	22	is	be	AUX
fuelectenerg-3144	298	23	not	not	PART
fuelectenerg-3144	298	24	perfect	perfect	ADJ
fuelectenerg-3144	298	25	in	in	ADP
fuelectenerg-3144	298	26	any	any	DET
fuelectenerg-3144	298	27	case	case	NOUN
fuelectenerg-3144	298	28	.	.	PUNCT
fuelectenerg-3144	299	1	there	there	PRON
fuelectenerg-3144	299	2	is	be	VERB
fuelectenerg-3144	299	3	no	no	DET
fuelectenerg-3144	299	4	guarantee	guarantee	NOUN
fuelectenerg-3144	299	5	that	that	SCONJ
fuelectenerg-3144	299	6	the	the	DET
fuelectenerg-3144	299	7	encoding	encoding	NOUN
fuelectenerg-3144	299	8	from	from	ADP
fuelectenerg-3144	299	9	figure	figure	NOUN
fuelectenerg-3144	299	10	2(d	2(d	NUM
fuelectenerg-3144	299	11	)	)	PUNCT
fuelectenerg-3144	299	12	would	would	AUX
fuelectenerg-3144	299	13	actually	actually	ADV
fuelectenerg-3144	299	14	produce	produce	VERB
fuelectenerg-3144	299	15	a	a	DET
fuelectenerg-3144	299	16	digital	digital	ADJ
fuelectenerg-3144	299	17	logic	logic	NOUN
fuelectenerg-3144	299	18	circuit	circuit	NOUN
fuelectenerg-3144	299	19	that	that	PRON
fuelectenerg-3144	299	20	better	well	ADJ
fuelectenerg-3144	299	21	suits	suit	VERB
fuelectenerg-3144	299	22	the	the	DET
fuelectenerg-3144	299	23	design	design	NOUN
fuelectenerg-3144	299	24	goals	goal	NOUN
fuelectenerg-3144	299	25	(	(	PUNCT
fuelectenerg-3144	299	26	whatever	whatever	PRON
fuelectenerg-3144	299	27	they	they	PRON
fuelectenerg-3144	299	28	may	may	AUX
fuelectenerg-3144	299	29	be	be	AUX
fuelectenerg-3144	299	30	)	)	PUNCT
fuelectenerg-3144	299	31	of	of	ADP
fuelectenerg-3144	299	32	a	a	DET
fuelectenerg-3144	299	33	digital	digital	ADJ
fuelectenerg-3144	299	34	logic	logic	NOUN
fuelectenerg-3144	299	35	designer	designer	NOUN
fuelectenerg-3144	299	36	.	.	PUNCT
fuelectenerg-3144	300	1	nevertheless	nevertheless	ADV
fuelectenerg-3144	300	2	,	,	PUNCT
fuelectenerg-3144	300	3	in	in	ADP
fuelectenerg-3144	300	4	the	the	DET
fuelectenerg-3144	300	5	remainder	remainder	NOUN
fuelectenerg-3144	300	6	of	of	ADP
fuelectenerg-3144	300	7	this	this	DET
fuelectenerg-3144	300	8	paper	paper	NOUN
fuelectenerg-3144	300	9	we	we	PRON
fuelectenerg-3144	300	10	will	will	AUX
fuelectenerg-3144	300	11	use	use	VERB
fuelectenerg-3144	300	12	the	the	DET
fuelectenerg-3144	300	13	simple	simple	ADJ
fuelectenerg-3144	300	14	metric	metric	NOUN
fuelectenerg-3144	300	15	of	of	ADP
fuelectenerg-3144	300	16	defining	define	VERB
fuelectenerg-3144	300	17	cost	cost	NOUN
fuelectenerg-3144	300	18	as	as	ADP
fuelectenerg-3144	300	19	the	the	DET
fuelectenerg-3144	300	20	total	total	ADJ
fuelectenerg-3144	300	21	number	number	NOUN
fuelectenerg-3144	300	22	of	of	ADP
fuelectenerg-3144	300	23	variables	variable	NOUN
fuelectenerg-3144	300	24	on	on	ADP
fuelectenerg-3144	300	25	which	which	PRON
fuelectenerg-3144	300	26	a	a	DET
fuelectenerg-3144	300	27	boolean	boolean	ADJ
fuelectenerg-3144	300	28	function	function	NOUN
fuelectenerg-3144	300	29	depends	depend	VERB
fuelectenerg-3144	300	30	,	,	PUNCT
fuelectenerg-3144	300	31	for	for	ADP
fuelectenerg-3144	300	32	two	two	NUM
fuelectenerg-3144	300	33	reasons	reason	NOUN
fuelectenerg-3144	300	34	.	.	PUNCT
fuelectenerg-3144	301	1	first	first	ADV
fuelectenerg-3144	301	2	,	,	PUNCT
fuelectenerg-3144	301	3	this	this	PRON
fuelectenerg-3144	301	4	cost	cost	VERB
fuelectenerg-3144	301	5	metric	metric	ADJ
fuelectenerg-3144	301	6	simplifies	simplifie	NOUN
fuelectenerg-3144	301	7	the	the	DET
fuelectenerg-3144	301	8	problem	problem	NOUN
fuelectenerg-3144	301	9	of	of	ADP
fuelectenerg-3144	301	10	finding	find	VERB
fuelectenerg-3144	301	11	the	the	DET
fuelectenerg-3144	301	12	optimal	optimal	ADJ
fuelectenerg-3144	301	13	encoding	encoding	NOUN
fuelectenerg-3144	301	14	for	for	ADP
fuelectenerg-3144	301	15	an	an	DET
fuelectenerg-3144	301	16	fsm	fsm	PROPN
fuelectenerg-3144	301	17	enough	enough	ADV
fuelectenerg-3144	301	18	that	that	SCONJ
fuelectenerg-3144	301	19	we	we	PRON
fuelectenerg-3144	301	20	can	can	AUX
fuelectenerg-3144	301	21	always	always	ADV
fuelectenerg-3144	301	22	find	find	VERB
fuelectenerg-3144	301	23	the	the	DET
fuelectenerg-3144	301	24	exact	exact	ADJ
fuelectenerg-3144	301	25	minimum	minimum	ADJ
fuelectenerg-3144	301	26	solution	solution	NOUN
fuelectenerg-3144	301	27	.	.	PUNCT
fuelectenerg-3144	302	1	the	the	DET
fuelectenerg-3144	302	2	only	only	ADJ
fuelectenerg-3144	302	3	published	publish	VERB
fuelectenerg-3144	302	4	work	work	NOUN
fuelectenerg-3144	302	5	so	so	ADV
fuelectenerg-3144	302	6	far	far	ADV
fuelectenerg-3144	302	7	that	that	PRON
fuelectenerg-3144	302	8	achieves	achieve	VERB
fuelectenerg-3144	302	9	exact	exact	ADJ
fuelectenerg-3144	302	10	minimum	minimum	ADJ
fuelectenerg-3144	302	11	results	result	NOUN
fuelectenerg-3144	302	12	for	for	ADP
fuelectenerg-3144	302	13	fsm	fsm	PROPN
fuelectenerg-3144	302	14	encoding	encoding	NOUN
fuelectenerg-3144	302	15	is	be	AUX
fuelectenerg-3144	302	16	[	[	X
fuelectenerg-3144	302	17	12	12	NUM
fuelectenerg-3144	302	18	]	]	PUNCT
fuelectenerg-3144	302	19	.	.	PUNCT
fuelectenerg-3144	303	1	however	however	ADV
fuelectenerg-3144	303	2	,	,	PUNCT
fuelectenerg-3144	303	3	the	the	DET
fuelectenerg-3144	303	4	authors	author	NOUN
fuelectenerg-3144	303	5	in	in	ADP
fuelectenerg-3144	303	6	[	[	X
fuelectenerg-3144	303	7	12	12	NUM
fuelectenerg-3144	303	8	]	]	PUNCT
fuelectenerg-3144	303	9	use	use	NOUN
fuelectenerg-3144	303	10	a	a	DET
fuelectenerg-3144	303	11	different	different	ADJ
fuelectenerg-3144	303	12	cost	cost	NOUN
fuelectenerg-3144	303	13	metric	metric	NOUN
fuelectenerg-3144	303	14	,	,	PUNCT
fuelectenerg-3144	303	15	which	which	PRON
fuelectenerg-3144	303	16	is	be	AUX
fuelectenerg-3144	303	17	based	base	VERB
fuelectenerg-3144	303	18	on	on	ADP
fuelectenerg-3144	303	19	the	the	DET
fuelectenerg-3144	303	20	number	number	NOUN
fuelectenerg-3144	303	21	of	of	ADP
fuelectenerg-3144	303	22	product	product	NOUN
fuelectenerg-3144	303	23	terms	term	NOUN
fuelectenerg-3144	303	24	when	when	SCONJ
fuelectenerg-3144	303	25	digital	digital	ADJ
fuelectenerg-3144	303	26	logic	logic	NOUN
fuelectenerg-3144	303	27	is	be	AUX
fuelectenerg-3144	303	28	implemented	implement	VERB
fuelectenerg-3144	303	29	using	use	VERB
fuelectenerg-3144	303	30	a	a	DET
fuelectenerg-3144	303	31	programmable	programmable	ADJ
fuelectenerg-3144	303	32	logic	logic	NOUN
fuelectenerg-3144	303	33	array	array	NOUN
fuelectenerg-3144	303	34	(	(	PUNCT
fuelectenerg-3144	303	35	pla	pla	NOUN
fuelectenerg-3144	303	36	)	)	PUNCT
fuelectenerg-3144	303	37	.	.	PUNCT
fuelectenerg-3144	304	1	this	this	PRON
fuelectenerg-3144	304	2	brings	bring	VERB
fuelectenerg-3144	304	3	us	we	PRON
fuelectenerg-3144	304	4	to	to	ADP
fuelectenerg-3144	304	5	our	our	PRON
fuelectenerg-3144	304	6	second	second	ADJ
fuelectenerg-3144	304	7	reason	reason	NOUN
fuelectenerg-3144	304	8	for	for	ADP
fuelectenerg-3144	304	9	using	use	VERB
fuelectenerg-3144	304	10	a	a	DET
fuelectenerg-3144	304	11	cost	cost	NOUN
fuelectenerg-3144	304	12	metric	metric	NOUN
fuelectenerg-3144	304	13	based	base	VERB
fuelectenerg-3144	304	14	on	on	ADP
fuelectenerg-3144	304	15	number	number	NOUN
fuelectenerg-3144	304	16	of	of	ADP
fuelectenerg-3144	304	17	dependencies	dependency	NOUN
fuelectenerg-3144	304	18	:	:	PUNCT
fuelectenerg-3144	304	19	minimizing	minimize	VERB
fuelectenerg-3144	304	20	the	the	DET
fuelectenerg-3144	304	21	number	number	NOUN
fuelectenerg-3144	304	22	of	of	ADP
fuelectenerg-3144	304	23	product	product	NOUN
fuelectenerg-3144	304	24	terms	term	NOUN
fuelectenerg-3144	304	25	in	in	ADP
fuelectenerg-3144	304	26	a	a	DET
fuelectenerg-3144	304	27	pla	pla	NOUN
fuelectenerg-3144	304	28	has	have	VERB
fuelectenerg-3144	304	29	little	little	ADJ
fuelectenerg-3144	304	30	to	to	ADP
fuelectenerg-3144	304	31	no	no	DET
fuelectenerg-3144	304	32	relevance	relevance	NOUN
fuelectenerg-3144	304	33	if	if	SCONJ
fuelectenerg-3144	304	34	an	an	DET
fuelectenerg-3144	304	35	fsm	fsm	PROPN
fuelectenerg-3144	304	36	is	be	AUX
fuelectenerg-3144	304	37	not	not	PART
fuelectenerg-3144	304	38	implemented	implement	VERB
fuelectenerg-3144	304	39	using	use	VERB
fuelectenerg-3144	304	40	plas	pla	NOUN
fuelectenerg-3144	304	41	,	,	PUNCT
fuelectenerg-3144	304	42	as	as	SCONJ
fuelectenerg-3144	304	43	they	they	PRON
fuelectenerg-3144	304	44	are	be	AUX
fuelectenerg-3144	304	45	not	not	PART
fuelectenerg-3144	304	46	(	(	PUNCT
fuelectenerg-3144	304	47	for	for	ADP
fuelectenerg-3144	304	48	instance	instance	NOUN
fuelectenerg-3144	304	49	)	)	PUNCT
fuelectenerg-3144	304	50	in	in	ADP
fuelectenerg-3144	304	51	most	most	ADJ
fuelectenerg-3144	304	52	modern	modern	ADJ
fuelectenerg-3144	304	53	vlsi	vlsi	PROPN
fuelectenerg-3144	304	54	chips	chip	NOUN
fuelectenerg-3144	304	55	.	.	PUNCT
fuelectenerg-3144	305	1	minimizing	minimize	VERB
fuelectenerg-3144	305	2	the	the	DET
fuelectenerg-3144	305	3	number	number	NOUN
fuelectenerg-3144	305	4	of	of	ADP
fuelectenerg-3144	305	5	variable	variable	ADJ
fuelectenerg-3144	305	6	dependencies	dependency	NOUN
fuelectenerg-3144	305	7	of	of	ADP
fuelectenerg-3144	305	8	a	a	DET
fuelectenerg-3144	305	9	boolean	boolean	ADJ
fuelectenerg-3144	305	10	function	function	NOUN
fuelectenerg-3144	305	11	,	,	PUNCT
fuelectenerg-3144	305	12	on	on	ADP
fuelectenerg-3144	305	13	the	the	DET
fuelectenerg-3144	305	14	other	other	ADJ
fuelectenerg-3144	305	15	hand	hand	NOUN
fuelectenerg-3144	305	16	,	,	PUNCT
fuelectenerg-3144	305	17	is	be	AUX
fuelectenerg-3144	305	18	a	a	DET
fuelectenerg-3144	305	19	reasonable	reasonable	ADJ
fuelectenerg-3144	305	20	goal	goal	NOUN
fuelectenerg-3144	305	21	for	for	ADP
fuelectenerg-3144	305	22	virtually	virtually	ADV
fuelectenerg-3144	305	23	any	any	DET
fuelectenerg-3144	305	24	digital	digital	ADJ
fuelectenerg-3144	305	25	logic	logic	NOUN
fuelectenerg-3144	305	26	technology	technology	NOUN
fuelectenerg-3144	305	27	,	,	PUNCT
fuelectenerg-3144	305	28	and	and	CCONJ
fuelectenerg-3144	305	29	will	will	AUX
fuelectenerg-3144	305	30	likely	likely	ADV
fuelectenerg-3144	305	31	remain	remain	VERB
fuelectenerg-3144	305	32	reasonable	reasonable	ADJ
fuelectenerg-3144	305	33	even	even	ADV
fuelectenerg-3144	305	34	for	for	ADP
fuelectenerg-3144	305	35	future	future	ADJ
fuelectenerg-3144	305	36	technologies	technology	NOUN
fuelectenerg-3144	305	37	.	.	PUNCT
fuelectenerg-3144	306	1	based	base	VERB
fuelectenerg-3144	306	2	on	on	ADP
fuelectenerg-3144	306	3	the	the	DET
fuelectenerg-3144	306	4	preceding	precede	VERB
fuelectenerg-3144	306	5	discussion	discussion	NOUN
fuelectenerg-3144	306	6	,	,	PUNCT
fuelectenerg-3144	306	7	we	we	PRON
fuelectenerg-3144	306	8	therefore	therefore	ADV
fuelectenerg-3144	306	9	formulate	formulate	VERB
fuelectenerg-3144	306	10	as	as	SCONJ
fuelectenerg-3144	306	11	follows	follow	VERB
fuelectenerg-3144	306	12	the	the	DET
fuelectenerg-3144	306	13	problem	problem	NOUN
fuelectenerg-3144	306	14	to	to	PART
fuelectenerg-3144	306	15	be	be	AUX
fuelectenerg-3144	306	16	solved	solve	VERB
fuelectenerg-3144	306	17	in	in	ADP
fuelectenerg-3144	306	18	the	the	DET
fuelectenerg-3144	306	19	remainder	remainder	NOUN
fuelectenerg-3144	306	20	of	of	ADP
fuelectenerg-3144	306	21	this	this	DET
fuelectenerg-3144	306	22	paper	paper	NOUN
fuelectenerg-3144	306	23	—	—	PUNCT
fuelectenerg-3144	306	24	given	give	VERB
fuelectenerg-3144	306	25	an	an	DET
fuelectenerg-3144	306	26	fsm	fsm	NOUN
fuelectenerg-3144	306	27	that	that	PRON
fuelectenerg-3144	306	28	satisfies	satisfy	VERB
fuelectenerg-3144	306	29	the	the	DET
fuelectenerg-3144	306	30	following	follow	VERB
fuelectenerg-3144	306	31	conditions	condition	NOUN
fuelectenerg-3144	306	32	:	:	PUNCT
fuelectenerg-3144	306	33	•	•	ADP
fuelectenerg-3144	306	34	the	the	DET
fuelectenerg-3144	306	35	number	number	NOUN
fuelectenerg-3144	306	36	of	of	ADP
fuelectenerg-3144	306	37	states	state	NOUN
fuelectenerg-3144	306	38	in	in	ADP
fuelectenerg-3144	306	39	the	the	DET
fuelectenerg-3144	306	40	machine	machine	NOUN
fuelectenerg-3144	306	41	is	be	AUX
fuelectenerg-3144	306	42	a	a	DET
fuelectenerg-3144	306	43	power	power	NOUN
fuelectenerg-3144	306	44	of	of	ADP
fuelectenerg-3144	306	45	2	2	NUM
fuelectenerg-3144	306	46	;	;	PUNCT
fuelectenerg-3144	306	47	•	•	NUM
fuelectenerg-3144	306	48	the	the	DET
fuelectenerg-3144	306	49	number	number	NOUN
fuelectenerg-3144	306	50	of	of	ADP
fuelectenerg-3144	306	51	possible	possible	ADJ
fuelectenerg-3144	306	52	input	input	NOUN
fuelectenerg-3144	306	53	values	value	NOUN
fuelectenerg-3144	306	54	to	to	ADP
fuelectenerg-3144	306	55	the	the	DET
fuelectenerg-3144	306	56	machine	machine	NOUN
fuelectenerg-3144	306	57	is	be	AUX
fuelectenerg-3144	306	58	a	a	DET
fuelectenerg-3144	306	59	power	power	NOUN
fuelectenerg-3144	306	60	of	of	ADP
fuelectenerg-3144	306	61	2	2	NUM
fuelectenerg-3144	306	62	;	;	PUNCT
fuelectenerg-3144	306	63	•	•	ADP
fuelectenerg-3144	306	64	the	the	DET
fuelectenerg-3144	306	65	machine	machine	NOUN
fuelectenerg-3144	306	66	is	be	AUX
fuelectenerg-3144	306	67	state	state	NOUN
fuelectenerg-3144	306	68	-	-	PUNCT
fuelectenerg-3144	306	69	minimal	minimal	ADJ
fuelectenerg-3144	306	70	,	,	PUNCT
fuelectenerg-3144	306	71	meaning	mean	VERB
fuelectenerg-3144	306	72	that	that	SCONJ
fuelectenerg-3144	306	73	no	no	DET
fuelectenerg-3144	306	74	two	two	NUM
fuelectenerg-3144	306	75	distinct	distinct	ADJ
fuelectenerg-3144	306	76	states	state	NOUN
fuelectenerg-3144	306	77	are	be	AUX
fuelectenerg-3144	306	78	equivalent	equivalent	ADJ
fuelectenerg-3144	306	79	and	and	CCONJ
fuelectenerg-3144	306	80	therefore	therefore	ADV
fuelectenerg-3144	306	81	no	no	DET
fuelectenerg-3144	306	82	two	two	NUM
fuelectenerg-3144	306	83	distinct	distinct	ADJ
fuelectenerg-3144	306	84	states	state	NOUN
fuelectenerg-3144	306	85	may	may	AUX
fuelectenerg-3144	306	86	be	be	AUX
fuelectenerg-3144	306	87	assigned	assign	VERB
fuelectenerg-3144	306	88	the	the	DET
fuelectenerg-3144	306	89	same	same	ADJ
fuelectenerg-3144	306	90	encoding	encoding	NOUN
fuelectenerg-3144	306	91	;	;	PUNCT
fuelectenerg-3144	306	92	•	•	PRON
fuelectenerg-3144	306	93	no	no	DET
fuelectenerg-3144	306	94	two	two	NUM
fuelectenerg-3144	306	95	input	input	NOUN
fuelectenerg-3144	306	96	values	value	NOUN
fuelectenerg-3144	306	97	are	be	AUX
fuelectenerg-3144	306	98	equivalent	equivalent	ADJ
fuelectenerg-3144	306	99	and	and	CCONJ
fuelectenerg-3144	306	100	therefore	therefore	ADV
fuelectenerg-3144	306	101	no	no	DET
fuelectenerg-3144	306	102	two	two	NUM
fuelectenerg-3144	306	103	distinct	distinct	ADJ
fuelectenerg-3144	306	104	input	input	NOUN
fuelectenerg-3144	306	105	values	value	NOUN
fuelectenerg-3144	306	106	may	may	AUX
fuelectenerg-3144	306	107	be	be	AUX
fuelectenerg-3144	306	108	assigned	assign	VERB
fuelectenerg-3144	306	109	the	the	DET
fuelectenerg-3144	306	110	same	same	ADJ
fuelectenerg-3144	306	111	encoding	encoding	NOUN
fuelectenerg-3144	306	112	;	;	PUNCT
fuelectenerg-3144	306	113	find	find	VERB
fuelectenerg-3144	306	114	an	an	DET
fuelectenerg-3144	306	115	encoding	encoding	NOUN
fuelectenerg-3144	306	116	for	for	ADP
fuelectenerg-3144	306	117	the	the	DET
fuelectenerg-3144	306	118	fsm	fsm	PROPN
fuelectenerg-3144	306	119	with	with	ADP
fuelectenerg-3144	306	120	the	the	DET
fuelectenerg-3144	306	121	lowest	low	ADJ
fuelectenerg-3144	306	122	possible	possible	ADJ
fuelectenerg-3144	306	123	cost	cost	NOUN
fuelectenerg-3144	306	124	,	,	PUNCT
fuelectenerg-3144	306	125	where	where	SCONJ
fuelectenerg-3144	306	126	the	the	DET
fuelectenerg-3144	306	127	cost	cost	NOUN
fuelectenerg-3144	306	128	of	of	ADP
fuelectenerg-3144	306	129	an	an	DET
fuelectenerg-3144	306	130	encoding	encoding	NOUN
fuelectenerg-3144	306	131	is	be	AUX
fuelectenerg-3144	306	132	defined	define	VERB
fuelectenerg-3144	306	133	as	as	ADP
fuelectenerg-3144	306	134	the	the	DET
fuelectenerg-3144	306	135	sum	sum	NOUN
fuelectenerg-3144	306	136	of	of	ADP
fuelectenerg-3144	306	137	the	the	DET
fuelectenerg-3144	306	138	costs	cost	NOUN
fuelectenerg-3144	306	139	of	of	ADP
fuelectenerg-3144	306	140	the	the	DET
fuelectenerg-3144	306	141	encoded	encode	VERB
fuelectenerg-3144	306	142	transition	transition	NOUN
fuelectenerg-3144	306	143	functions	function	NOUN
fuelectenerg-3144	306	144	resulting	result	VERB
fuelectenerg-3144	306	145	from	from	ADP
fuelectenerg-3144	306	146	that	that	DET
fuelectenerg-3144	306	147	encoding	encoding	NOUN
fuelectenerg-3144	306	148	,	,	PUNCT
fuelectenerg-3144	306	149	and	and	CCONJ
fuelectenerg-3144	306	150	the	the	DET
fuelectenerg-3144	306	151	cost	cost	NOUN
fuelectenerg-3144	306	152	of	of	ADP
fuelectenerg-3144	306	153	a	a	DET
fuelectenerg-3144	306	154	single	single	ADJ
fuelectenerg-3144	306	155	function	function	NOUN
fuelectenerg-3144	306	156	is	be	AUX
fuelectenerg-3144	306	157	the	the	DET
fuelectenerg-3144	306	158	number	number	NOUN
fuelectenerg-3144	306	159	of	of	ADP
fuelectenerg-3144	306	160	variables	variable	NOUN
fuelectenerg-3144	306	161	on	on	ADP
fuelectenerg-3144	306	162	which	which	PRON
fuelectenerg-3144	306	163	the	the	DET
fuelectenerg-3144	306	164	function	function	NOUN
fuelectenerg-3144	306	165	depends	depend	VERB
fuelectenerg-3144	306	166	.	.	PUNCT
fuelectenerg-3144	307	1	a	a	DET
fuelectenerg-3144	307	2	function	function	NOUN
fuelectenerg-3144	307	3	is	be	AUX
fuelectenerg-3144	307	4	considered	consider	VERB
fuelectenerg-3144	307	5	to	to	PART
fuelectenerg-3144	307	6	depend	depend	VERB
fuelectenerg-3144	307	7	on	on	ADP
fuelectenerg-3144	307	8	a	a	DET
fuelectenerg-3144	307	9	variable	variable	NOUN
fuelectenerg-3144	307	10	if	if	SCONJ
fuelectenerg-3144	307	11	and	and	CCONJ
fuelectenerg-3144	307	12	only	only	ADV
fuelectenerg-3144	307	13	if	if	SCONJ
fuelectenerg-3144	307	14	the	the	DET
fuelectenerg-3144	307	15	function	function	NOUN
fuelectenerg-3144	307	16	can	can	AUX
fuelectenerg-3144	307	17	not	not	PART
fuelectenerg-3144	307	18	be	be	AUX
fuelectenerg-3144	307	19	computed	compute	VERB
fuelectenerg-3144	307	20	without	without	ADP
fuelectenerg-3144	307	21	knowledge	knowledge	NOUN
fuelectenerg-3144	307	22	of	of	ADP
fuelectenerg-3144	307	23	the	the	DET
fuelectenerg-3144	307	24	value	value	NOUN
fuelectenerg-3144	307	25	of	of	ADP
fuelectenerg-3144	307	26	that	that	DET
fuelectenerg-3144	307	27	variable	variable	NOUN
fuelectenerg-3144	307	28	.	.	PUNCT
fuelectenerg-3144	308	1	our	our	PRON
fuelectenerg-3144	308	2	cost	cost	NOUN
fuelectenerg-3144	308	3	model	model	NOUN
fuelectenerg-3144	308	4	thus	thus	ADV
fuelectenerg-3144	308	5	defined	define	VERB
fuelectenerg-3144	308	6	is	be	AUX
fuelectenerg-3144	308	7	the	the	DET
fuelectenerg-3144	308	8	same	same	ADJ
fuelectenerg-3144	308	9	as	as	ADP
fuelectenerg-3144	308	10	that	that	PRON
fuelectenerg-3144	308	11	used	use	VERB
fuelectenerg-3144	308	12	in	in	ADP
fuelectenerg-3144	308	13	[	[	X
fuelectenerg-3144	308	14	6	6	NUM
fuelectenerg-3144	308	15	]	]	PUNCT
fuelectenerg-3144	308	16	and	and	CCONJ
fuelectenerg-3144	308	17	[	[	X
fuelectenerg-3144	308	18	7	7	NUM
fuelectenerg-3144	308	19	]	]	SYM
fuelectenerg-3144	308	20	.	.	PUNCT
fuelectenerg-3144	309	1	3	3	NUM
fuelectenerg-3144	309	2	grover	grover	NOUN
fuelectenerg-3144	309	3	’s	’s	PART
fuelectenerg-3144	309	4	search	search	NOUN
fuelectenerg-3144	309	5	algorithm	algorithm	NOUN
fuelectenerg-3144	309	6	3.1	3.1	NUM
fuelectenerg-3144	309	7	operation	operation	NOUN
fuelectenerg-3144	309	8	of	of	ADP
fuelectenerg-3144	309	9	grover	grover	PROPN
fuelectenerg-3144	309	10	’s	’s	PART
fuelectenerg-3144	309	11	algorithm	algorithm	NOUN
fuelectenerg-3144	309	12	in	in	ADP
fuelectenerg-3144	309	13	this	this	DET
fuelectenerg-3144	309	14	section	section	NOUN
fuelectenerg-3144	309	15	we	we	PRON
fuelectenerg-3144	309	16	briefly	briefly	ADV
fuelectenerg-3144	309	17	review	review	VERB
fuelectenerg-3144	309	18	grover	grover	PROPN
fuelectenerg-3144	309	19	’s	’s	PART
fuelectenerg-3144	309	20	algorithm	algorithm	NOUN
fuelectenerg-3144	309	21	and	and	CCONJ
fuelectenerg-3144	309	22	its	its	PRON
fuelectenerg-3144	309	23	relevance	relevance	NOUN
fuelectenerg-3144	309	24	to	to	ADP
fuelectenerg-3144	309	25	the	the	DET
fuelectenerg-3144	309	26	state	state	NOUN
fuelectenerg-3144	309	27	encoding	encoding	NOUN
fuelectenerg-3144	309	28	problem	problem	NOUN
fuelectenerg-3144	309	29	.	.	PUNCT
fuelectenerg-3144	310	1	we	we	PRON
fuelectenerg-3144	310	2	assume	assume	VERB
fuelectenerg-3144	310	3	the	the	DET
fuelectenerg-3144	310	4	reader	reader	NOUN
fuelectenerg-3144	310	5	’s	’s	PART
fuelectenerg-3144	310	6	familiarity	familiarity	NOUN
fuelectenerg-3144	310	7	with	with	ADP
fuelectenerg-3144	310	8	quantum	quantum	NOUN
fuelectenerg-3144	310	9	computing	computing	NOUN
fuelectenerg-3144	310	10	in	in	ADP
fuelectenerg-3144	310	11	general	general	ADJ
fuelectenerg-3144	310	12	,	,	PUNCT
fuelectenerg-3144	310	13	and	and	CCONJ
fuelectenerg-3144	310	14	in	in	ADP
fuelectenerg-3144	310	15	particular	particular	ADJ
fuelectenerg-3144	310	16	with	with	ADP
fuelectenerg-3144	310	17	qubits	qubit	NOUN
fuelectenerg-3144	310	18	,	,	PUNCT
fuelectenerg-3144	310	19	quantum	quantum	ADJ
fuelectenerg-3144	310	20	states	state	NOUN
fuelectenerg-3144	310	21	,	,	PUNCT
fuelectenerg-3144	310	22	circuits	circuit	NOUN
fuelectenerg-3144	310	23	,	,	PUNCT
fuelectenerg-3144	310	24	gates	gate	NOUN
fuelectenerg-3144	310	25	,	,	PUNCT
fuelectenerg-3144	310	26	and	and	CCONJ
fuelectenerg-3144	310	27	the	the	DET
fuelectenerg-3144	310	28	matrix	matrix	NOUN
fuelectenerg-3144	310	29	-	-	PUNCT
fuelectenerg-3144	310	30	vector	vector	NOUN
fuelectenerg-3144	310	31	representations	representation	NOUN
fuelectenerg-3144	310	32	thereof	thereof	ADV
fuelectenerg-3144	310	33	.	.	PUNCT
fuelectenerg-3144	311	1	for	for	ADP
fuelectenerg-3144	311	2	9	9	NUM
fuelectenerg-3144	311	3	176	176	NUM
fuelectenerg-3144	311	4	e.	e.	PROPN
fuelectenerg-3144	311	5	tsai	tsai	PROPN
fuelectenerg-3144	311	6	,	,	PUNCT
fuelectenerg-3144	311	7	m.	m.	PROPN
fuelectenerg-3144	311	8	perkowski	perkowski	PROPN
fuelectenerg-3144	311	9	a	a	DET
fuelectenerg-3144	311	10	quantum	quantum	ADJ
fuelectenerg-3144	311	11	algorithm	algorithm	NOUN
fuelectenerg-3144	311	12	for	for	ADP
fuelectenerg-3144	311	13	automata	automata	NOUN
fuelectenerg-3144	311	14	encoding	encode	VERB
fuelectenerg-3144	311	15	177	177	NUM
fuelectenerg-3144	311	16	i1	i1	PROPN
fuelectenerg-3144	311	17	i2	i2	PROPN
fuelectenerg-3144	311	18	i3	i3	PROPN
fuelectenerg-3144	311	19	i4	i4	PROPN
fuelectenerg-3144	311	20	s1	s1	PROPN
fuelectenerg-3144	311	21	s2	s2	PROPN
fuelectenerg-3144	311	22	s3	s3	PROPN
fuelectenerg-3144	311	23	s4	s4	PROPN
fuelectenerg-3144	311	24	s2	s2	PROPN
fuelectenerg-3144	311	25	s2	s2	PROPN
fuelectenerg-3144	311	26	s2	s2	NOUN
fuelectenerg-3144	311	27	s3	s3	PROPN
fuelectenerg-3144	311	28	s4	s4	PROPN
fuelectenerg-3144	311	29	s1	s1	PROPN
fuelectenerg-3144	311	30	s3	s3	PROPN
fuelectenerg-3144	311	31	s3	s3	PROPN
fuelectenerg-3144	311	32	s2	s2	PROPN
fuelectenerg-3144	311	33	s3	s3	PROPN
fuelectenerg-3144	311	34	s3	s3	PROPN
fuelectenerg-3144	311	35	s3	s3	PROPN
fuelectenerg-3144	311	36	s4	s4	PROPN
fuelectenerg-3144	311	37	s4	s4	PROPN
fuelectenerg-3144	311	38	s2	s2	PROPN
fuelectenerg-3144	311	39	s3	s3	PROPN
fuelectenerg-3144	311	40	(	(	PUNCT
fuelectenerg-3144	311	41	a	a	NOUN
fuelectenerg-3144	311	42	)	)	PUNCT
fuelectenerg-3144	311	43	q1q2s	q1q2s	PUNCT
fuelectenerg-3144	312	1	s1	s1	NOUN
fuelectenerg-3144	312	2	0	0	NUM
fuelectenerg-3144	312	3	0	0	NUM
fuelectenerg-3144	312	4	s2	s2	NOUN
fuelectenerg-3144	312	5	0	0	NUM
fuelectenerg-3144	312	6	1	1	NUM
fuelectenerg-3144	312	7	s3	s3	NOUN
fuelectenerg-3144	312	8	1	1	NUM
fuelectenerg-3144	312	9	0	0	NUM
fuelectenerg-3144	312	10	s4	s4	PROPN
fuelectenerg-3144	312	11	1	1	NUM
fuelectenerg-3144	312	12	1	1	NUM
fuelectenerg-3144	312	13	x1	x1	PROPN
fuelectenerg-3144	312	14	x2i	x2i	PROPN
fuelectenerg-3144	312	15	i1	i1	PROPN
fuelectenerg-3144	312	16	0	0	NUM
fuelectenerg-3144	312	17	0	0	NUM
fuelectenerg-3144	313	1	i2	i2	NOUN
fuelectenerg-3144	313	2	0	0	NUM
fuelectenerg-3144	313	3	1	1	NUM
fuelectenerg-3144	313	4	i3	i3	NOUN
fuelectenerg-3144	313	5	1	1	NUM
fuelectenerg-3144	313	6	0	0	NUM
fuelectenerg-3144	313	7	i4	i4	PROPN
fuelectenerg-3144	313	8	1	1	NUM
fuelectenerg-3144	313	9	1	1	NUM
fuelectenerg-3144	313	10	(	(	PUNCT
fuelectenerg-3144	313	11	b	b	NOUN
fuelectenerg-3144	313	12	)	)	PUNCT
fuelectenerg-3144	313	13	00	00	NUM
fuelectenerg-3144	314	1	01	01	NUM
fuelectenerg-3144	314	2	11	11	NUM
fuelectenerg-3144	314	3	10	10	NUM
fuelectenerg-3144	314	4	00	00	NUM
fuelectenerg-3144	314	5	01	01	NUM
fuelectenerg-3144	314	6	11	11	NUM
fuelectenerg-3144	314	7	10	10	NUM
fuelectenerg-3144	314	8	0	0	NUM
fuelectenerg-3144	314	9	0	0	NUM
fuelectenerg-3144	314	10	1	1	NUM
fuelectenerg-3144	314	11	0	0	NUM
fuelectenerg-3144	314	12	1	1	NUM
fuelectenerg-3144	314	13	0	0	NUM
fuelectenerg-3144	314	14	1	1	NUM
fuelectenerg-3144	314	15	1	1	NUM
fuelectenerg-3144	314	16	1	1	NUM
fuelectenerg-3144	314	17	1	1	NUM
fuelectenerg-3144	314	18	1	1	NUM
fuelectenerg-3144	314	19	0	0	NUM
fuelectenerg-3144	314	20	0	0	NUM
fuelectenerg-3144	314	21	1	1	NUM
fuelectenerg-3144	314	22	1	1	NUM
fuelectenerg-3144	314	23	1	1	NUM
fuelectenerg-3144	314	24	q1q2	q1q2	NOUN
fuelectenerg-3144	314	25	x1x2	x1x2	X
fuelectenerg-3144	314	26	q+	q+	ADP
fuelectenerg-3144	314	27	1	1	NUM
fuelectenerg-3144	314	28	00	00	NUM
fuelectenerg-3144	314	29	01	01	NUM
fuelectenerg-3144	314	30	11	11	NUM
fuelectenerg-3144	314	31	10	10	NUM
fuelectenerg-3144	314	32	00	00	NUM
fuelectenerg-3144	314	33	01	01	NUM
fuelectenerg-3144	314	34	11	11	NUM
fuelectenerg-3144	314	35	10	10	NUM
fuelectenerg-3144	314	36	1	1	NUM
fuelectenerg-3144	314	37	1	1	NUM
fuelectenerg-3144	314	38	0	0	NUM
fuelectenerg-3144	314	39	1	1	NUM
fuelectenerg-3144	314	40	1	1	NUM
fuelectenerg-3144	314	41	0	0	NUM
fuelectenerg-3144	314	42	0	0	NUM
fuelectenerg-3144	314	43	0	0	NUM
fuelectenerg-3144	314	44	1	1	NUM
fuelectenerg-3144	314	45	1	1	NUM
fuelectenerg-3144	314	46	0	0	NUM
fuelectenerg-3144	314	47	1	1	NUM
fuelectenerg-3144	314	48	1	1	NUM
fuelectenerg-3144	314	49	0	0	NUM
fuelectenerg-3144	314	50	0	0	NUM
fuelectenerg-3144	314	51	0	0	X
fuelectenerg-3144	315	1	q1q2	q1q2	NOUN
fuelectenerg-3144	315	2	x1x2	x1x2	X
fuelectenerg-3144	315	3	q+	q+	ADP
fuelectenerg-3144	315	4	2	2	NUM
fuelectenerg-3144	315	5	(	(	PUNCT
fuelectenerg-3144	315	6	c	c	NOUN
fuelectenerg-3144	315	7	)	)	PUNCT
fuelectenerg-3144	315	8	q1q2s	q1q2s	PUNCT
fuelectenerg-3144	315	9	s1	s1	NOUN
fuelectenerg-3144	315	10	0	0	NUM
fuelectenerg-3144	315	11	1	1	NUM
fuelectenerg-3144	315	12	s2	s2	NOUN
fuelectenerg-3144	315	13	1	1	NUM
fuelectenerg-3144	315	14	0	0	NUM
fuelectenerg-3144	315	15	s3	s3	NOUN
fuelectenerg-3144	315	16	1	1	NUM
fuelectenerg-3144	315	17	1	1	NUM
fuelectenerg-3144	315	18	s4	s4	NOUN
fuelectenerg-3144	315	19	0	0	NUM
fuelectenerg-3144	315	20	0	0	NUM
fuelectenerg-3144	316	1	x1	x1	PROPN
fuelectenerg-3144	316	2	x2i	x2i	PROPN
fuelectenerg-3144	316	3	i1	i1	PROPN
fuelectenerg-3144	316	4	1	1	NUM
fuelectenerg-3144	316	5	0	0	NUM
fuelectenerg-3144	316	6	i2	i2	NOUN
fuelectenerg-3144	316	7	1	1	NUM
fuelectenerg-3144	316	8	1	1	NUM
fuelectenerg-3144	316	9	i3	i3	NOUN
fuelectenerg-3144	316	10	0	0	NUM
fuelectenerg-3144	316	11	1	1	NUM
fuelectenerg-3144	316	12	i4	i4	PROPN
fuelectenerg-3144	316	13	0	0	NUM
fuelectenerg-3144	316	14	0	0	NUM
fuelectenerg-3144	317	1	(	(	PUNCT
fuelectenerg-3144	317	2	d	d	NOUN
fuelectenerg-3144	317	3	)	)	PUNCT
fuelectenerg-3144	317	4	00	00	NUM
fuelectenerg-3144	318	1	01	01	NUM
fuelectenerg-3144	318	2	11	11	NUM
fuelectenerg-3144	318	3	10	10	NUM
fuelectenerg-3144	318	4	00	00	NUM
fuelectenerg-3144	318	5	01	01	NUM
fuelectenerg-3144	318	6	11	11	NUM
fuelectenerg-3144	318	7	10	10	NUM
fuelectenerg-3144	318	8	1	1	NUM
fuelectenerg-3144	318	9	1	1	NUM
fuelectenerg-3144	318	10	0	0	NUM
fuelectenerg-3144	318	11	0	0	NUM
fuelectenerg-3144	318	12	1	1	NUM
fuelectenerg-3144	318	13	1	1	NUM
fuelectenerg-3144	318	14	1	1	NUM
fuelectenerg-3144	318	15	1	1	NUM
fuelectenerg-3144	318	16	1	1	NUM
fuelectenerg-3144	318	17	1	1	NUM
fuelectenerg-3144	318	18	1	1	NUM
fuelectenerg-3144	318	19	1	1	NUM
fuelectenerg-3144	318	20	1	1	NUM
fuelectenerg-3144	318	21	1	1	NUM
fuelectenerg-3144	318	22	0	0	NUM
fuelectenerg-3144	318	23	0	0	NUM
fuelectenerg-3144	319	1	q1q2	q1q2	NOUN
fuelectenerg-3144	319	2	x1x2	x1x2	X
fuelectenerg-3144	319	3	q+	q+	ADP
fuelectenerg-3144	319	4	1	1	NUM
fuelectenerg-3144	319	5	00	00	NUM
fuelectenerg-3144	319	6	01	01	NUM
fuelectenerg-3144	319	7	11	11	NUM
fuelectenerg-3144	319	8	10	10	NUM
fuelectenerg-3144	319	9	00	00	NUM
fuelectenerg-3144	319	10	01	01	NUM
fuelectenerg-3144	319	11	11	11	NUM
fuelectenerg-3144	319	12	10	10	NUM
fuelectenerg-3144	319	13	1	1	NUM
fuelectenerg-3144	319	14	0	0	NUM
fuelectenerg-3144	319	15	0	0	NUM
fuelectenerg-3144	319	16	0	0	NUM
fuelectenerg-3144	319	17	1	1	NUM
fuelectenerg-3144	319	18	0	0	NUM
fuelectenerg-3144	319	19	0	0	NUM
fuelectenerg-3144	319	20	0	0	NUM
fuelectenerg-3144	319	21	1	1	NUM
fuelectenerg-3144	319	22	1	1	NUM
fuelectenerg-3144	319	23	1	1	NUM
fuelectenerg-3144	319	24	0	0	NUM
fuelectenerg-3144	319	25	1	1	NUM
fuelectenerg-3144	319	26	1	1	NUM
fuelectenerg-3144	319	27	1	1	NUM
fuelectenerg-3144	319	28	0	0	X
fuelectenerg-3144	320	1	q1q2	q1q2	NOUN
fuelectenerg-3144	320	2	x1x2	x1x2	X
fuelectenerg-3144	320	3	q+	q+	ADP
fuelectenerg-3144	320	4	2	2	NUM
fuelectenerg-3144	320	5	(	(	PUNCT
fuelectenerg-3144	320	6	e	e	NOUN
fuelectenerg-3144	320	7	)	)	PUNCT
fuelectenerg-3144	320	8	figure	figure	NOUN
fuelectenerg-3144	320	9	2	2	NUM
fuelectenerg-3144	320	10	:	:	PUNCT
fuelectenerg-3144	320	11	(	(	PUNCT
fuelectenerg-3144	320	12	a	a	X
fuelectenerg-3144	320	13	)	)	PUNCT
fuelectenerg-3144	320	14	transition	transition	NOUN
fuelectenerg-3144	320	15	table	table	NOUN
fuelectenerg-3144	320	16	for	for	ADP
fuelectenerg-3144	320	17	an	an	DET
fuelectenerg-3144	320	18	fsm	fsm	PROPN
fuelectenerg-3144	320	19	;	;	PUNCT
fuelectenerg-3144	320	20	(	(	PUNCT
fuelectenerg-3144	320	21	b	b	X
fuelectenerg-3144	320	22	)	)	PUNCT
fuelectenerg-3144	320	23	an	an	DET
fuelectenerg-3144	320	24	encoding	encoding	NOUN
fuelectenerg-3144	320	25	for	for	ADP
fuelectenerg-3144	320	26	that	that	DET
fuelectenerg-3144	320	27	fsm	fsm	PROPN
fuelectenerg-3144	320	28	;	;	PUNCT
fuelectenerg-3144	320	29	(	(	PUNCT
fuelectenerg-3144	320	30	c	c	X
fuelectenerg-3144	320	31	)	)	PUNCT
fuelectenerg-3144	320	32	resulting	result	VERB
fuelectenerg-3144	320	33	encoded	encode	VERB
fuelectenerg-3144	320	34	transition	transition	NOUN
fuelectenerg-3144	320	35	functions	function	NOUN
fuelectenerg-3144	320	36	from	from	ADP
fuelectenerg-3144	320	37	that	that	DET
fuelectenerg-3144	320	38	encoding	encoding	NOUN
fuelectenerg-3144	320	39	;	;	PUNCT
fuelectenerg-3144	320	40	(	(	PUNCT
fuelectenerg-3144	320	41	d	d	X
fuelectenerg-3144	320	42	)	)	PUNCT
fuelectenerg-3144	320	43	another	another	DET
fuelectenerg-3144	320	44	encoding	encoding	NOUN
fuelectenerg-3144	320	45	for	for	ADP
fuelectenerg-3144	320	46	the	the	DET
fuelectenerg-3144	320	47	same	same	ADJ
fuelectenerg-3144	320	48	fsm	fsm	PROPN
fuelectenerg-3144	320	49	;	;	PUNCT
fuelectenerg-3144	320	50	(	(	PUNCT
fuelectenerg-3144	320	51	e	e	NOUN
fuelectenerg-3144	320	52	)	)	PUNCT
fuelectenerg-3144	320	53	resulting	result	VERB
fuelectenerg-3144	320	54	encoded	encode	VERB
fuelectenerg-3144	320	55	transition	transition	NOUN
fuelectenerg-3144	320	56	functions	function	NOUN
fuelectenerg-3144	320	57	.	.	PUNCT
fuelectenerg-3144	321	1	8	8	NUM
fuelectenerg-3144	321	2	less	less	ADV
fuelectenerg-3144	321	3	complex	complex	ADJ
fuelectenerg-3144	321	4	digital	digital	ADJ
fuelectenerg-3144	321	5	logic	logic	NOUN
fuelectenerg-3144	321	6	circuit	circuit	NOUN
fuelectenerg-3144	321	7	,	,	PUNCT
fuelectenerg-3144	321	8	since	since	SCONJ
fuelectenerg-3144	321	9	the	the	DET
fuelectenerg-3144	321	10	next	next	ADJ
fuelectenerg-3144	321	11	-	-	PUNCT
fuelectenerg-3144	321	12	state	state	NOUN
fuelectenerg-3144	321	13	logic	logic	NOUN
fuelectenerg-3144	321	14	for	for	ADP
fuelectenerg-3144	321	15	both	both	DET
fuelectenerg-3144	321	16	flipflops	flipflop	NOUN
fuelectenerg-3144	321	17	would	would	AUX
fuelectenerg-3144	321	18	involve	involve	VERB
fuelectenerg-3144	321	19	fewer	few	ADJ
fuelectenerg-3144	321	20	variables	variable	NOUN
fuelectenerg-3144	321	21	.	.	PUNCT
fuelectenerg-3144	322	1	of	of	ADP
fuelectenerg-3144	322	2	course	course	NOUN
fuelectenerg-3144	322	3	,	,	PUNCT
fuelectenerg-3144	322	4	this	this	DET
fuelectenerg-3144	322	5	correlation	correlation	NOUN
fuelectenerg-3144	322	6	between	between	ADP
fuelectenerg-3144	322	7	complexity	complexity	NOUN
fuelectenerg-3144	322	8	and	and	CCONJ
fuelectenerg-3144	322	9	number	number	NOUN
fuelectenerg-3144	322	10	of	of	ADP
fuelectenerg-3144	322	11	inputs	input	NOUN
fuelectenerg-3144	322	12	depends	depend	VERB
fuelectenerg-3144	322	13	on	on	ADP
fuelectenerg-3144	322	14	the	the	DET
fuelectenerg-3144	322	15	precise	precise	ADJ
fuelectenerg-3144	322	16	definition	definition	NOUN
fuelectenerg-3144	322	17	of	of	ADP
fuelectenerg-3144	322	18	complexity	complexity	NOUN
fuelectenerg-3144	322	19	used	use	VERB
fuelectenerg-3144	322	20	,	,	PUNCT
fuelectenerg-3144	322	21	and	and	CCONJ
fuelectenerg-3144	322	22	is	be	AUX
fuelectenerg-3144	322	23	not	not	PART
fuelectenerg-3144	322	24	perfect	perfect	ADJ
fuelectenerg-3144	322	25	in	in	ADP
fuelectenerg-3144	322	26	any	any	DET
fuelectenerg-3144	322	27	case	case	NOUN
fuelectenerg-3144	322	28	.	.	PUNCT
fuelectenerg-3144	323	1	there	there	PRON
fuelectenerg-3144	323	2	is	be	VERB
fuelectenerg-3144	323	3	no	no	DET
fuelectenerg-3144	323	4	guarantee	guarantee	NOUN
fuelectenerg-3144	323	5	that	that	SCONJ
fuelectenerg-3144	323	6	the	the	DET
fuelectenerg-3144	323	7	encoding	encoding	NOUN
fuelectenerg-3144	323	8	from	from	ADP
fuelectenerg-3144	323	9	figure	figure	NOUN
fuelectenerg-3144	323	10	2(d	2(d	NUM
fuelectenerg-3144	323	11	)	)	PUNCT
fuelectenerg-3144	323	12	would	would	AUX
fuelectenerg-3144	323	13	actually	actually	ADV
fuelectenerg-3144	323	14	produce	produce	VERB
fuelectenerg-3144	323	15	a	a	DET
fuelectenerg-3144	323	16	digital	digital	ADJ
fuelectenerg-3144	323	17	logic	logic	NOUN
fuelectenerg-3144	323	18	circuit	circuit	NOUN
fuelectenerg-3144	323	19	that	that	PRON
fuelectenerg-3144	323	20	better	well	ADJ
fuelectenerg-3144	323	21	suits	suit	VERB
fuelectenerg-3144	323	22	the	the	DET
fuelectenerg-3144	323	23	design	design	NOUN
fuelectenerg-3144	323	24	goals	goal	NOUN
fuelectenerg-3144	323	25	(	(	PUNCT
fuelectenerg-3144	323	26	whatever	whatever	PRON
fuelectenerg-3144	323	27	they	they	PRON
fuelectenerg-3144	323	28	may	may	AUX
fuelectenerg-3144	323	29	be	be	AUX
fuelectenerg-3144	323	30	)	)	PUNCT
fuelectenerg-3144	323	31	of	of	ADP
fuelectenerg-3144	323	32	a	a	DET
fuelectenerg-3144	323	33	digital	digital	ADJ
fuelectenerg-3144	323	34	logic	logic	NOUN
fuelectenerg-3144	323	35	designer	designer	NOUN
fuelectenerg-3144	323	36	.	.	PUNCT
fuelectenerg-3144	324	1	nevertheless	nevertheless	ADV
fuelectenerg-3144	324	2	,	,	PUNCT
fuelectenerg-3144	324	3	in	in	ADP
fuelectenerg-3144	324	4	the	the	DET
fuelectenerg-3144	324	5	remainder	remainder	NOUN
fuelectenerg-3144	324	6	of	of	ADP
fuelectenerg-3144	324	7	this	this	DET
fuelectenerg-3144	324	8	paper	paper	NOUN
fuelectenerg-3144	324	9	we	we	PRON
fuelectenerg-3144	324	10	will	will	AUX
fuelectenerg-3144	324	11	use	use	VERB
fuelectenerg-3144	324	12	the	the	DET
fuelectenerg-3144	324	13	simple	simple	ADJ
fuelectenerg-3144	324	14	metric	metric	NOUN
fuelectenerg-3144	324	15	of	of	ADP
fuelectenerg-3144	324	16	defining	define	VERB
fuelectenerg-3144	324	17	cost	cost	NOUN
fuelectenerg-3144	324	18	as	as	ADP
fuelectenerg-3144	324	19	the	the	DET
fuelectenerg-3144	324	20	total	total	ADJ
fuelectenerg-3144	324	21	number	number	NOUN
fuelectenerg-3144	324	22	of	of	ADP
fuelectenerg-3144	324	23	variables	variable	NOUN
fuelectenerg-3144	324	24	on	on	ADP
fuelectenerg-3144	324	25	which	which	PRON
fuelectenerg-3144	324	26	a	a	DET
fuelectenerg-3144	324	27	boolean	boolean	ADJ
fuelectenerg-3144	324	28	function	function	NOUN
fuelectenerg-3144	324	29	depends	depend	VERB
fuelectenerg-3144	324	30	,	,	PUNCT
fuelectenerg-3144	324	31	for	for	ADP
fuelectenerg-3144	324	32	two	two	NUM
fuelectenerg-3144	324	33	reasons	reason	NOUN
fuelectenerg-3144	324	34	.	.	PUNCT
fuelectenerg-3144	325	1	first	first	ADV
fuelectenerg-3144	325	2	,	,	PUNCT
fuelectenerg-3144	325	3	this	this	PRON
fuelectenerg-3144	325	4	cost	cost	VERB
fuelectenerg-3144	325	5	metric	metric	ADJ
fuelectenerg-3144	325	6	simplifies	simplifie	NOUN
fuelectenerg-3144	325	7	the	the	DET
fuelectenerg-3144	325	8	problem	problem	NOUN
fuelectenerg-3144	325	9	of	of	ADP
fuelectenerg-3144	325	10	finding	find	VERB
fuelectenerg-3144	325	11	the	the	DET
fuelectenerg-3144	325	12	optimal	optimal	ADJ
fuelectenerg-3144	325	13	encoding	encoding	NOUN
fuelectenerg-3144	325	14	for	for	ADP
fuelectenerg-3144	325	15	an	an	DET
fuelectenerg-3144	325	16	fsm	fsm	PROPN
fuelectenerg-3144	325	17	enough	enough	ADV
fuelectenerg-3144	325	18	that	that	SCONJ
fuelectenerg-3144	325	19	we	we	PRON
fuelectenerg-3144	325	20	can	can	AUX
fuelectenerg-3144	325	21	always	always	ADV
fuelectenerg-3144	325	22	find	find	VERB
fuelectenerg-3144	325	23	the	the	DET
fuelectenerg-3144	325	24	exact	exact	ADJ
fuelectenerg-3144	325	25	minimum	minimum	ADJ
fuelectenerg-3144	325	26	solution	solution	NOUN
fuelectenerg-3144	325	27	.	.	PUNCT
fuelectenerg-3144	326	1	the	the	DET
fuelectenerg-3144	326	2	only	only	ADJ
fuelectenerg-3144	326	3	published	publish	VERB
fuelectenerg-3144	326	4	work	work	NOUN
fuelectenerg-3144	326	5	so	so	ADV
fuelectenerg-3144	326	6	far	far	ADV
fuelectenerg-3144	326	7	that	that	PRON
fuelectenerg-3144	326	8	achieves	achieve	VERB
fuelectenerg-3144	326	9	exact	exact	ADJ
fuelectenerg-3144	326	10	minimum	minimum	ADJ
fuelectenerg-3144	326	11	results	result	NOUN
fuelectenerg-3144	326	12	for	for	ADP
fuelectenerg-3144	326	13	fsm	fsm	PROPN
fuelectenerg-3144	326	14	encoding	encoding	NOUN
fuelectenerg-3144	326	15	is	be	AUX
fuelectenerg-3144	326	16	[	[	X
fuelectenerg-3144	326	17	12	12	NUM
fuelectenerg-3144	326	18	]	]	PUNCT
fuelectenerg-3144	326	19	.	.	PUNCT
fuelectenerg-3144	327	1	however	however	ADV
fuelectenerg-3144	327	2	,	,	PUNCT
fuelectenerg-3144	327	3	the	the	DET
fuelectenerg-3144	327	4	authors	author	NOUN
fuelectenerg-3144	327	5	in	in	ADP
fuelectenerg-3144	327	6	[	[	X
fuelectenerg-3144	327	7	12	12	NUM
fuelectenerg-3144	327	8	]	]	PUNCT
fuelectenerg-3144	327	9	use	use	NOUN
fuelectenerg-3144	327	10	a	a	DET
fuelectenerg-3144	327	11	different	different	ADJ
fuelectenerg-3144	327	12	cost	cost	NOUN
fuelectenerg-3144	327	13	metric	metric	NOUN
fuelectenerg-3144	327	14	,	,	PUNCT
fuelectenerg-3144	327	15	which	which	PRON
fuelectenerg-3144	327	16	is	be	AUX
fuelectenerg-3144	327	17	based	base	VERB
fuelectenerg-3144	327	18	on	on	ADP
fuelectenerg-3144	327	19	the	the	DET
fuelectenerg-3144	327	20	number	number	NOUN
fuelectenerg-3144	327	21	of	of	ADP
fuelectenerg-3144	327	22	product	product	NOUN
fuelectenerg-3144	327	23	terms	term	NOUN
fuelectenerg-3144	327	24	when	when	SCONJ
fuelectenerg-3144	327	25	digital	digital	ADJ
fuelectenerg-3144	327	26	logic	logic	NOUN
fuelectenerg-3144	327	27	is	be	AUX
fuelectenerg-3144	327	28	implemented	implement	VERB
fuelectenerg-3144	327	29	using	use	VERB
fuelectenerg-3144	327	30	a	a	DET
fuelectenerg-3144	327	31	programmable	programmable	ADJ
fuelectenerg-3144	327	32	logic	logic	NOUN
fuelectenerg-3144	327	33	array	array	NOUN
fuelectenerg-3144	327	34	(	(	PUNCT
fuelectenerg-3144	327	35	pla	pla	NOUN
fuelectenerg-3144	327	36	)	)	PUNCT
fuelectenerg-3144	327	37	.	.	PUNCT
fuelectenerg-3144	328	1	this	this	PRON
fuelectenerg-3144	328	2	brings	bring	VERB
fuelectenerg-3144	328	3	us	we	PRON
fuelectenerg-3144	328	4	to	to	ADP
fuelectenerg-3144	328	5	our	our	PRON
fuelectenerg-3144	328	6	second	second	ADJ
fuelectenerg-3144	328	7	reason	reason	NOUN
fuelectenerg-3144	328	8	for	for	ADP
fuelectenerg-3144	328	9	using	use	VERB
fuelectenerg-3144	328	10	a	a	DET
fuelectenerg-3144	328	11	cost	cost	NOUN
fuelectenerg-3144	328	12	metric	metric	NOUN
fuelectenerg-3144	328	13	based	base	VERB
fuelectenerg-3144	328	14	on	on	ADP
fuelectenerg-3144	328	15	number	number	NOUN
fuelectenerg-3144	328	16	of	of	ADP
fuelectenerg-3144	328	17	dependencies	dependency	NOUN
fuelectenerg-3144	328	18	:	:	PUNCT
fuelectenerg-3144	328	19	minimizing	minimize	VERB
fuelectenerg-3144	328	20	the	the	DET
fuelectenerg-3144	328	21	number	number	NOUN
fuelectenerg-3144	328	22	of	of	ADP
fuelectenerg-3144	328	23	product	product	NOUN
fuelectenerg-3144	328	24	terms	term	NOUN
fuelectenerg-3144	328	25	in	in	ADP
fuelectenerg-3144	328	26	a	a	DET
fuelectenerg-3144	328	27	pla	pla	NOUN
fuelectenerg-3144	328	28	has	have	VERB
fuelectenerg-3144	328	29	little	little	ADJ
fuelectenerg-3144	328	30	to	to	ADP
fuelectenerg-3144	328	31	no	no	DET
fuelectenerg-3144	328	32	relevance	relevance	NOUN
fuelectenerg-3144	328	33	if	if	SCONJ
fuelectenerg-3144	328	34	an	an	DET
fuelectenerg-3144	328	35	fsm	fsm	PROPN
fuelectenerg-3144	328	36	is	be	AUX
fuelectenerg-3144	328	37	not	not	PART
fuelectenerg-3144	328	38	implemented	implement	VERB
fuelectenerg-3144	328	39	using	use	VERB
fuelectenerg-3144	328	40	plas	pla	NOUN
fuelectenerg-3144	328	41	,	,	PUNCT
fuelectenerg-3144	328	42	as	as	SCONJ
fuelectenerg-3144	328	43	they	they	PRON
fuelectenerg-3144	328	44	are	be	AUX
fuelectenerg-3144	328	45	not	not	PART
fuelectenerg-3144	328	46	(	(	PUNCT
fuelectenerg-3144	328	47	for	for	ADP
fuelectenerg-3144	328	48	instance	instance	NOUN
fuelectenerg-3144	328	49	)	)	PUNCT
fuelectenerg-3144	328	50	in	in	ADP
fuelectenerg-3144	328	51	most	most	ADJ
fuelectenerg-3144	328	52	modern	modern	ADJ
fuelectenerg-3144	328	53	vlsi	vlsi	PROPN
fuelectenerg-3144	328	54	chips	chip	NOUN
fuelectenerg-3144	328	55	.	.	PUNCT
fuelectenerg-3144	329	1	minimizing	minimize	VERB
fuelectenerg-3144	329	2	the	the	DET
fuelectenerg-3144	329	3	number	number	NOUN
fuelectenerg-3144	329	4	of	of	ADP
fuelectenerg-3144	329	5	variable	variable	ADJ
fuelectenerg-3144	329	6	dependencies	dependency	NOUN
fuelectenerg-3144	329	7	of	of	ADP
fuelectenerg-3144	329	8	a	a	DET
fuelectenerg-3144	329	9	boolean	boolean	ADJ
fuelectenerg-3144	329	10	function	function	NOUN
fuelectenerg-3144	329	11	,	,	PUNCT
fuelectenerg-3144	329	12	on	on	ADP
fuelectenerg-3144	329	13	the	the	DET
fuelectenerg-3144	329	14	other	other	ADJ
fuelectenerg-3144	329	15	hand	hand	NOUN
fuelectenerg-3144	329	16	,	,	PUNCT
fuelectenerg-3144	329	17	is	be	AUX
fuelectenerg-3144	329	18	a	a	DET
fuelectenerg-3144	329	19	reasonable	reasonable	ADJ
fuelectenerg-3144	329	20	goal	goal	NOUN
fuelectenerg-3144	329	21	for	for	ADP
fuelectenerg-3144	329	22	virtually	virtually	ADV
fuelectenerg-3144	329	23	any	any	DET
fuelectenerg-3144	329	24	digital	digital	ADJ
fuelectenerg-3144	329	25	logic	logic	NOUN
fuelectenerg-3144	329	26	technology	technology	NOUN
fuelectenerg-3144	329	27	,	,	PUNCT
fuelectenerg-3144	329	28	and	and	CCONJ
fuelectenerg-3144	329	29	will	will	AUX
fuelectenerg-3144	329	30	likely	likely	ADV
fuelectenerg-3144	329	31	remain	remain	VERB
fuelectenerg-3144	329	32	reasonable	reasonable	ADJ
fuelectenerg-3144	329	33	even	even	ADV
fuelectenerg-3144	329	34	for	for	ADP
fuelectenerg-3144	329	35	future	future	ADJ
fuelectenerg-3144	329	36	technologies	technology	NOUN
fuelectenerg-3144	329	37	.	.	PUNCT
fuelectenerg-3144	330	1	based	base	VERB
fuelectenerg-3144	330	2	on	on	ADP
fuelectenerg-3144	330	3	the	the	DET
fuelectenerg-3144	330	4	preceding	precede	VERB
fuelectenerg-3144	330	5	discussion	discussion	NOUN
fuelectenerg-3144	330	6	,	,	PUNCT
fuelectenerg-3144	330	7	we	we	PRON
fuelectenerg-3144	330	8	therefore	therefore	ADV
fuelectenerg-3144	330	9	formulate	formulate	VERB
fuelectenerg-3144	330	10	as	as	SCONJ
fuelectenerg-3144	330	11	follows	follow	VERB
fuelectenerg-3144	330	12	the	the	DET
fuelectenerg-3144	330	13	problem	problem	NOUN
fuelectenerg-3144	330	14	to	to	PART
fuelectenerg-3144	330	15	be	be	AUX
fuelectenerg-3144	330	16	solved	solve	VERB
fuelectenerg-3144	330	17	in	in	ADP
fuelectenerg-3144	330	18	the	the	DET
fuelectenerg-3144	330	19	remainder	remainder	NOUN
fuelectenerg-3144	330	20	of	of	ADP
fuelectenerg-3144	330	21	this	this	DET
fuelectenerg-3144	330	22	paper	paper	NOUN
fuelectenerg-3144	330	23	—	—	PUNCT
fuelectenerg-3144	330	24	given	give	VERB
fuelectenerg-3144	330	25	an	an	DET
fuelectenerg-3144	330	26	fsm	fsm	NOUN
fuelectenerg-3144	330	27	that	that	PRON
fuelectenerg-3144	330	28	satisfies	satisfy	VERB
fuelectenerg-3144	330	29	the	the	DET
fuelectenerg-3144	330	30	following	follow	VERB
fuelectenerg-3144	330	31	conditions	condition	NOUN
fuelectenerg-3144	330	32	:	:	PUNCT
fuelectenerg-3144	330	33	•	•	ADP
fuelectenerg-3144	330	34	the	the	DET
fuelectenerg-3144	330	35	number	number	NOUN
fuelectenerg-3144	330	36	of	of	ADP
fuelectenerg-3144	330	37	states	state	NOUN
fuelectenerg-3144	330	38	in	in	ADP
fuelectenerg-3144	330	39	the	the	DET
fuelectenerg-3144	330	40	machine	machine	NOUN
fuelectenerg-3144	330	41	is	be	AUX
fuelectenerg-3144	330	42	a	a	DET
fuelectenerg-3144	330	43	power	power	NOUN
fuelectenerg-3144	330	44	of	of	ADP
fuelectenerg-3144	330	45	2	2	NUM
fuelectenerg-3144	330	46	;	;	PUNCT
fuelectenerg-3144	330	47	•	•	NUM
fuelectenerg-3144	330	48	the	the	DET
fuelectenerg-3144	330	49	number	number	NOUN
fuelectenerg-3144	330	50	of	of	ADP
fuelectenerg-3144	330	51	possible	possible	ADJ
fuelectenerg-3144	330	52	input	input	NOUN
fuelectenerg-3144	330	53	values	value	NOUN
fuelectenerg-3144	330	54	to	to	ADP
fuelectenerg-3144	330	55	the	the	DET
fuelectenerg-3144	330	56	machine	machine	NOUN
fuelectenerg-3144	330	57	is	be	AUX
fuelectenerg-3144	330	58	a	a	DET
fuelectenerg-3144	330	59	power	power	NOUN
fuelectenerg-3144	330	60	of	of	ADP
fuelectenerg-3144	330	61	2	2	NUM
fuelectenerg-3144	330	62	;	;	PUNCT
fuelectenerg-3144	330	63	•	•	ADP
fuelectenerg-3144	330	64	the	the	DET
fuelectenerg-3144	330	65	machine	machine	NOUN
fuelectenerg-3144	330	66	is	be	AUX
fuelectenerg-3144	330	67	state	state	NOUN
fuelectenerg-3144	330	68	-	-	PUNCT
fuelectenerg-3144	330	69	minimal	minimal	ADJ
fuelectenerg-3144	330	70	,	,	PUNCT
fuelectenerg-3144	330	71	meaning	mean	VERB
fuelectenerg-3144	330	72	that	that	SCONJ
fuelectenerg-3144	330	73	no	no	DET
fuelectenerg-3144	330	74	two	two	NUM
fuelectenerg-3144	330	75	distinct	distinct	ADJ
fuelectenerg-3144	330	76	states	state	NOUN
fuelectenerg-3144	330	77	are	be	AUX
fuelectenerg-3144	330	78	equivalent	equivalent	ADJ
fuelectenerg-3144	330	79	and	and	CCONJ
fuelectenerg-3144	330	80	therefore	therefore	ADV
fuelectenerg-3144	330	81	no	no	DET
fuelectenerg-3144	330	82	two	two	NUM
fuelectenerg-3144	330	83	distinct	distinct	ADJ
fuelectenerg-3144	330	84	states	state	NOUN
fuelectenerg-3144	330	85	may	may	AUX
fuelectenerg-3144	330	86	be	be	AUX
fuelectenerg-3144	330	87	assigned	assign	VERB
fuelectenerg-3144	330	88	the	the	DET
fuelectenerg-3144	330	89	same	same	ADJ
fuelectenerg-3144	330	90	encoding	encoding	NOUN
fuelectenerg-3144	330	91	;	;	PUNCT
fuelectenerg-3144	330	92	•	•	PRON
fuelectenerg-3144	330	93	no	no	DET
fuelectenerg-3144	330	94	two	two	NUM
fuelectenerg-3144	330	95	input	input	NOUN
fuelectenerg-3144	330	96	values	value	NOUN
fuelectenerg-3144	330	97	are	be	AUX
fuelectenerg-3144	330	98	equivalent	equivalent	ADJ
fuelectenerg-3144	330	99	and	and	CCONJ
fuelectenerg-3144	330	100	therefore	therefore	ADV
fuelectenerg-3144	330	101	no	no	DET
fuelectenerg-3144	330	102	two	two	NUM
fuelectenerg-3144	330	103	distinct	distinct	ADJ
fuelectenerg-3144	330	104	input	input	NOUN
fuelectenerg-3144	330	105	values	value	NOUN
fuelectenerg-3144	330	106	may	may	AUX
fuelectenerg-3144	330	107	be	be	AUX
fuelectenerg-3144	330	108	assigned	assign	VERB
fuelectenerg-3144	330	109	the	the	DET
fuelectenerg-3144	330	110	same	same	ADJ
fuelectenerg-3144	330	111	encoding	encoding	NOUN
fuelectenerg-3144	330	112	;	;	PUNCT
fuelectenerg-3144	330	113	find	find	VERB
fuelectenerg-3144	330	114	an	an	DET
fuelectenerg-3144	330	115	encoding	encoding	NOUN
fuelectenerg-3144	330	116	for	for	ADP
fuelectenerg-3144	330	117	the	the	DET
fuelectenerg-3144	330	118	fsm	fsm	PROPN
fuelectenerg-3144	330	119	with	with	ADP
fuelectenerg-3144	330	120	the	the	DET
fuelectenerg-3144	330	121	lowest	low	ADJ
fuelectenerg-3144	330	122	possible	possible	ADJ
fuelectenerg-3144	330	123	cost	cost	NOUN
fuelectenerg-3144	330	124	,	,	PUNCT
fuelectenerg-3144	330	125	where	where	SCONJ
fuelectenerg-3144	330	126	the	the	DET
fuelectenerg-3144	330	127	cost	cost	NOUN
fuelectenerg-3144	330	128	of	of	ADP
fuelectenerg-3144	330	129	an	an	DET
fuelectenerg-3144	330	130	encoding	encoding	NOUN
fuelectenerg-3144	330	131	is	be	AUX
fuelectenerg-3144	330	132	defined	define	VERB
fuelectenerg-3144	330	133	as	as	ADP
fuelectenerg-3144	330	134	the	the	DET
fuelectenerg-3144	330	135	sum	sum	NOUN
fuelectenerg-3144	330	136	of	of	ADP
fuelectenerg-3144	330	137	the	the	DET
fuelectenerg-3144	330	138	costs	cost	NOUN
fuelectenerg-3144	330	139	of	of	ADP
fuelectenerg-3144	330	140	the	the	DET
fuelectenerg-3144	330	141	encoded	encode	VERB
fuelectenerg-3144	330	142	transition	transition	NOUN
fuelectenerg-3144	330	143	functions	function	NOUN
fuelectenerg-3144	330	144	resulting	result	VERB
fuelectenerg-3144	330	145	from	from	ADP
fuelectenerg-3144	330	146	that	that	DET
fuelectenerg-3144	330	147	encoding	encoding	NOUN
fuelectenerg-3144	330	148	,	,	PUNCT
fuelectenerg-3144	330	149	and	and	CCONJ
fuelectenerg-3144	330	150	the	the	DET
fuelectenerg-3144	330	151	cost	cost	NOUN
fuelectenerg-3144	330	152	of	of	ADP
fuelectenerg-3144	330	153	a	a	DET
fuelectenerg-3144	330	154	single	single	ADJ
fuelectenerg-3144	330	155	function	function	NOUN
fuelectenerg-3144	330	156	is	be	AUX
fuelectenerg-3144	330	157	the	the	DET
fuelectenerg-3144	330	158	number	number	NOUN
fuelectenerg-3144	330	159	of	of	ADP
fuelectenerg-3144	330	160	variables	variable	NOUN
fuelectenerg-3144	330	161	on	on	ADP
fuelectenerg-3144	330	162	which	which	PRON
fuelectenerg-3144	330	163	the	the	DET
fuelectenerg-3144	330	164	function	function	NOUN
fuelectenerg-3144	330	165	depends	depend	VERB
fuelectenerg-3144	330	166	.	.	PUNCT
fuelectenerg-3144	331	1	a	a	DET
fuelectenerg-3144	331	2	function	function	NOUN
fuelectenerg-3144	331	3	is	be	AUX
fuelectenerg-3144	331	4	considered	consider	VERB
fuelectenerg-3144	331	5	to	to	PART
fuelectenerg-3144	331	6	depend	depend	VERB
fuelectenerg-3144	331	7	on	on	ADP
fuelectenerg-3144	331	8	a	a	DET
fuelectenerg-3144	331	9	variable	variable	NOUN
fuelectenerg-3144	331	10	if	if	SCONJ
fuelectenerg-3144	331	11	and	and	CCONJ
fuelectenerg-3144	331	12	only	only	ADV
fuelectenerg-3144	331	13	if	if	SCONJ
fuelectenerg-3144	331	14	the	the	DET
fuelectenerg-3144	331	15	function	function	NOUN
fuelectenerg-3144	331	16	can	can	AUX
fuelectenerg-3144	331	17	not	not	PART
fuelectenerg-3144	331	18	be	be	AUX
fuelectenerg-3144	331	19	computed	compute	VERB
fuelectenerg-3144	331	20	without	without	ADP
fuelectenerg-3144	331	21	knowledge	knowledge	NOUN
fuelectenerg-3144	331	22	of	of	ADP
fuelectenerg-3144	331	23	the	the	DET
fuelectenerg-3144	331	24	value	value	NOUN
fuelectenerg-3144	331	25	of	of	ADP
fuelectenerg-3144	331	26	that	that	DET
fuelectenerg-3144	331	27	variable	variable	NOUN
fuelectenerg-3144	331	28	.	.	PUNCT
fuelectenerg-3144	332	1	our	our	PRON
fuelectenerg-3144	332	2	cost	cost	NOUN
fuelectenerg-3144	332	3	model	model	NOUN
fuelectenerg-3144	332	4	thus	thus	ADV
fuelectenerg-3144	332	5	defined	define	VERB
fuelectenerg-3144	332	6	is	be	AUX
fuelectenerg-3144	332	7	the	the	DET
fuelectenerg-3144	332	8	same	same	ADJ
fuelectenerg-3144	332	9	as	as	ADP
fuelectenerg-3144	332	10	that	that	PRON
fuelectenerg-3144	332	11	used	use	VERB
fuelectenerg-3144	332	12	in	in	ADP
fuelectenerg-3144	332	13	[	[	X
fuelectenerg-3144	332	14	6	6	NUM
fuelectenerg-3144	332	15	]	]	PUNCT
fuelectenerg-3144	332	16	and	and	CCONJ
fuelectenerg-3144	332	17	[	[	X
fuelectenerg-3144	332	18	7	7	NUM
fuelectenerg-3144	332	19	]	]	SYM
fuelectenerg-3144	332	20	.	.	PUNCT
fuelectenerg-3144	333	1	3	3	NUM
fuelectenerg-3144	333	2	grover	grover	NOUN
fuelectenerg-3144	333	3	’s	’s	PART
fuelectenerg-3144	333	4	search	search	NOUN
fuelectenerg-3144	333	5	algorithm	algorithm	NOUN
fuelectenerg-3144	333	6	3.1	3.1	NUM
fuelectenerg-3144	333	7	operation	operation	NOUN
fuelectenerg-3144	333	8	of	of	ADP
fuelectenerg-3144	333	9	grover	grover	PROPN
fuelectenerg-3144	333	10	’s	’s	PART
fuelectenerg-3144	333	11	algorithm	algorithm	NOUN
fuelectenerg-3144	333	12	in	in	ADP
fuelectenerg-3144	333	13	this	this	DET
fuelectenerg-3144	333	14	section	section	NOUN
fuelectenerg-3144	333	15	we	we	PRON
fuelectenerg-3144	333	16	briefly	briefly	ADV
fuelectenerg-3144	333	17	review	review	VERB
fuelectenerg-3144	333	18	grover	grover	PROPN
fuelectenerg-3144	333	19	’s	’s	PART
fuelectenerg-3144	333	20	algorithm	algorithm	NOUN
fuelectenerg-3144	333	21	and	and	CCONJ
fuelectenerg-3144	333	22	its	its	PRON
fuelectenerg-3144	333	23	relevance	relevance	NOUN
fuelectenerg-3144	333	24	to	to	ADP
fuelectenerg-3144	333	25	the	the	DET
fuelectenerg-3144	333	26	state	state	NOUN
fuelectenerg-3144	333	27	encoding	encoding	NOUN
fuelectenerg-3144	333	28	problem	problem	NOUN
fuelectenerg-3144	333	29	.	.	PUNCT
fuelectenerg-3144	334	1	we	we	PRON
fuelectenerg-3144	334	2	assume	assume	VERB
fuelectenerg-3144	334	3	the	the	DET
fuelectenerg-3144	334	4	reader	reader	NOUN
fuelectenerg-3144	334	5	’s	’s	PART
fuelectenerg-3144	334	6	familiarity	familiarity	NOUN
fuelectenerg-3144	334	7	with	with	ADP
fuelectenerg-3144	334	8	quantum	quantum	NOUN
fuelectenerg-3144	334	9	computing	computing	NOUN
fuelectenerg-3144	334	10	in	in	ADP
fuelectenerg-3144	334	11	general	general	ADJ
fuelectenerg-3144	334	12	,	,	PUNCT
fuelectenerg-3144	334	13	and	and	CCONJ
fuelectenerg-3144	334	14	in	in	ADP
fuelectenerg-3144	334	15	particular	particular	ADJ
fuelectenerg-3144	334	16	with	with	ADP
fuelectenerg-3144	334	17	qubits	qubit	NOUN
fuelectenerg-3144	334	18	,	,	PUNCT
fuelectenerg-3144	334	19	quantum	quantum	ADJ
fuelectenerg-3144	334	20	states	state	NOUN
fuelectenerg-3144	334	21	,	,	PUNCT
fuelectenerg-3144	334	22	circuits	circuit	NOUN
fuelectenerg-3144	334	23	,	,	PUNCT
fuelectenerg-3144	334	24	gates	gate	NOUN
fuelectenerg-3144	334	25	,	,	PUNCT
fuelectenerg-3144	334	26	and	and	CCONJ
fuelectenerg-3144	334	27	the	the	DET
fuelectenerg-3144	334	28	matrix	matrix	NOUN
fuelectenerg-3144	334	29	-	-	PUNCT
fuelectenerg-3144	334	30	vector	vector	NOUN
fuelectenerg-3144	334	31	representations	representation	NOUN
fuelectenerg-3144	334	32	thereof	thereof	ADV
fuelectenerg-3144	334	33	.	.	PUNCT
fuelectenerg-3144	335	1	for	for	ADP
fuelectenerg-3144	335	2	9	9	NUM
fuelectenerg-3144	335	3	176	176	NUM
fuelectenerg-3144	335	4	e.	e.	PROPN
fuelectenerg-3144	335	5	tsai	tsai	PROPN
fuelectenerg-3144	335	6	,	,	PUNCT
fuelectenerg-3144	335	7	m.	m.	PROPN
fuelectenerg-3144	335	8	perkowski	perkowski	PROPN
fuelectenerg-3144	335	9	a	a	DET
fuelectenerg-3144	335	10	quantum	quantum	ADJ
fuelectenerg-3144	335	11	algorithm	algorithm	NOUN
fuelectenerg-3144	335	12	for	for	ADP
fuelectenerg-3144	335	13	automata	automata	NOUN
fuelectenerg-3144	335	14	encoding	encode	VERB
fuelectenerg-3144	335	15	177	177	NUM
fuelectenerg-3144	336	1	|0	|0	NUM
fuelectenerg-3144	336	2	〉	〉	NUM
fuelectenerg-3144	336	3	|0	|0	NUM
fuelectenerg-3144	336	4	〉	〉	PROPN
fuelectenerg-3144	336	5	|0	|0	NUM
fuelectenerg-3144	336	6	〉	〉	PROPN
fuelectenerg-3144	336	7	|0	|0	NUM
fuelectenerg-3144	336	8	〉	〉	PROPN
fuelectenerg-3144	336	9	|1	|1	NUM
fuelectenerg-3144	336	10	〉	〉	NOUN
fuelectenerg-3144	336	11	h	h	NOUN
fuelectenerg-3144	336	12	h	h	NOUN
fuelectenerg-3144	336	13	h	h	NOUN
fuelectenerg-3144	336	14	h	h	NOUN
fuelectenerg-3144	337	1	h	h	NOUN
fuelectenerg-3144	338	1	g	g	PROPN
fuelectenerg-3144	338	2	g	g	PROPN
fuelectenerg-3144	338	3	g	g	PROPN
fuelectenerg-3144	338	4	figure	figure	NOUN
fuelectenerg-3144	338	5	3	3	NUM
fuelectenerg-3144	338	6	:	:	PUNCT
fuelectenerg-3144	338	7	a	a	DET
fuelectenerg-3144	338	8	high	high	ADJ
fuelectenerg-3144	338	9	-	-	PUNCT
fuelectenerg-3144	338	10	level	level	NOUN
fuelectenerg-3144	338	11	schematic	schematic	ADJ
fuelectenerg-3144	338	12	for	for	ADP
fuelectenerg-3144	338	13	grover	grover	NOUN
fuelectenerg-3144	338	14	’s	’s	PART
fuelectenerg-3144	338	15	algorithm	algorithm	NOUN
fuelectenerg-3144	338	16	.	.	PUNCT
fuelectenerg-3144	339	1	a	a	DET
fuelectenerg-3144	339	2	detailed	detailed	ADJ
fuelectenerg-3144	339	3	treatment	treatment	NOUN
fuelectenerg-3144	339	4	of	of	ADP
fuelectenerg-3144	339	5	the	the	DET
fuelectenerg-3144	339	6	preceding	precede	VERB
fuelectenerg-3144	339	7	concepts	concept	NOUN
fuelectenerg-3144	339	8	,	,	PUNCT
fuelectenerg-3144	339	9	we	we	PRON
fuelectenerg-3144	339	10	refer	refer	VERB
fuelectenerg-3144	339	11	the	the	DET
fuelectenerg-3144	339	12	reader	reader	NOUN
fuelectenerg-3144	339	13	to	to	ADP
fuelectenerg-3144	339	14	[	[	X
fuelectenerg-3144	339	15	16	16	NUM
fuelectenerg-3144	339	16	]	]	PUNCT
fuelectenerg-3144	339	17	.	.	PUNCT
fuelectenerg-3144	340	1	we	we	PRON
fuelectenerg-3144	340	2	concentrate	concentrate	VERB
fuelectenerg-3144	340	3	on	on	ADP
fuelectenerg-3144	340	4	reviewing	review	VERB
fuelectenerg-3144	340	5	the	the	DET
fuelectenerg-3144	340	6	conceptual	conceptual	ADJ
fuelectenerg-3144	340	7	aspects	aspect	NOUN
fuelectenerg-3144	340	8	of	of	ADP
fuelectenerg-3144	340	9	grover	grover	PROPN
fuelectenerg-3144	340	10	’s	’s	PART
fuelectenerg-3144	340	11	algorithm	algorithm	NOUN
fuelectenerg-3144	340	12	rather	rather	ADV
fuelectenerg-3144	340	13	than	than	ADP
fuelectenerg-3144	340	14	proving	prove	VERB
fuelectenerg-3144	340	15	that	that	SCONJ
fuelectenerg-3144	340	16	the	the	DET
fuelectenerg-3144	340	17	algorithm	algorithm	NOUN
fuelectenerg-3144	340	18	functions	function	NOUN
fuelectenerg-3144	340	19	as	as	SCONJ
fuelectenerg-3144	340	20	claimed	claim	VERB
fuelectenerg-3144	340	21	.	.	PUNCT
fuelectenerg-3144	341	1	full	full	ADJ
fuelectenerg-3144	341	2	proofs	proof	NOUN
fuelectenerg-3144	341	3	of	of	ADP
fuelectenerg-3144	341	4	the	the	DET
fuelectenerg-3144	341	5	validity	validity	NOUN
fuelectenerg-3144	341	6	of	of	ADP
fuelectenerg-3144	341	7	grover	grover	PROPN
fuelectenerg-3144	341	8	’s	’s	PART
fuelectenerg-3144	341	9	algorithm	algorithm	NOUN
fuelectenerg-3144	341	10	are	be	AUX
fuelectenerg-3144	341	11	well	well	ADV
fuelectenerg-3144	341	12	known	know	VERB
fuelectenerg-3144	341	13	and	and	CCONJ
fuelectenerg-3144	341	14	may	may	AUX
fuelectenerg-3144	341	15	be	be	AUX
fuelectenerg-3144	341	16	found	find	VERB
fuelectenerg-3144	341	17	,	,	PUNCT
fuelectenerg-3144	341	18	for	for	ADP
fuelectenerg-3144	341	19	instance	instance	NOUN
fuelectenerg-3144	341	20	,	,	PUNCT
fuelectenerg-3144	341	21	in	in	ADP
fuelectenerg-3144	341	22	[	[	X
fuelectenerg-3144	341	23	3	3	NUM
fuelectenerg-3144	341	24	,	,	PUNCT
fuelectenerg-3144	341	25	16	16	NUM
fuelectenerg-3144	341	26	]	]	PUNCT
fuelectenerg-3144	341	27	.	.	PUNCT
fuelectenerg-3144	342	1	grover	grover	PROPN
fuelectenerg-3144	342	2	’s	’s	PART
fuelectenerg-3144	342	3	algorithm	algorithm	NOUN
fuelectenerg-3144	342	4	[	[	X
fuelectenerg-3144	342	5	2	2	NUM
fuelectenerg-3144	342	6	,	,	PUNCT
fuelectenerg-3144	342	7	3	3	NUM
fuelectenerg-3144	342	8	,	,	PUNCT
fuelectenerg-3144	342	9	4	4	NUM
fuelectenerg-3144	342	10	]	]	PUNCT
fuelectenerg-3144	342	11	is	be	AUX
fuelectenerg-3144	342	12	a	a	DET
fuelectenerg-3144	342	13	well	well	ADV
fuelectenerg-3144	342	14	-	-	PUNCT
fuelectenerg-3144	342	15	known	know	VERB
fuelectenerg-3144	342	16	quantum	quantum	NOUN
fuelectenerg-3144	342	17	algorithm	algorithm	NOUN
fuelectenerg-3144	342	18	and	and	CCONJ
fuelectenerg-3144	342	19	one	one	NUM
fuelectenerg-3144	342	20	of	of	ADP
fuelectenerg-3144	342	21	the	the	DET
fuelectenerg-3144	342	22	first	first	ADJ
fuelectenerg-3144	342	23	to	to	PART
fuelectenerg-3144	342	24	demonstrate	demonstrate	VERB
fuelectenerg-3144	342	25	how	how	SCONJ
fuelectenerg-3144	342	26	quantum	quantum	ADJ
fuelectenerg-3144	342	27	computers	computer	NOUN
fuelectenerg-3144	342	28	are	be	AUX
fuelectenerg-3144	342	29	in	in	ADP
fuelectenerg-3144	342	30	a	a	DET
fuelectenerg-3144	342	31	sense	sense	NOUN
fuelectenerg-3144	342	32	more	more	ADV
fuelectenerg-3144	342	33	powerful	powerful	ADJ
fuelectenerg-3144	342	34	than	than	ADP
fuelectenerg-3144	342	35	classical	classical	ADJ
fuelectenerg-3144	342	36	computers	computer	NOUN
fuelectenerg-3144	342	37	.	.	PUNCT
fuelectenerg-3144	343	1	specifically	specifically	ADV
fuelectenerg-3144	343	2	,	,	PUNCT
fuelectenerg-3144	343	3	grover	grover	PROPN
fuelectenerg-3144	343	4	’s	’s	PART
fuelectenerg-3144	343	5	algorithm	algorithm	PROPN
fuelectenerg-3144	343	6	solves	solve	VERB
fuelectenerg-3144	343	7	the	the	DET
fuelectenerg-3144	343	8	problem	problem	NOUN
fuelectenerg-3144	343	9	of	of	ADP
fuelectenerg-3144	343	10	satisfying	satisfy	VERB
fuelectenerg-3144	343	11	a	a	DET
fuelectenerg-3144	343	12	boolean	boolean	ADJ
fuelectenerg-3144	343	13	function	function	NOUN
fuelectenerg-3144	343	14	;	;	PUNCT
fuelectenerg-3144	343	15	that	that	PRON
fuelectenerg-3144	343	16	is	is	ADV
fuelectenerg-3144	343	17	,	,	PUNCT
fuelectenerg-3144	343	18	given	give	VERB
fuelectenerg-3144	343	19	a	a	DET
fuelectenerg-3144	343	20	function	function	NOUN
fuelectenerg-3144	343	21	f	f	NOUN
fuelectenerg-3144	343	22	:	:	PUNCT
fuelectenerg-3144	343	23	{	{	PUNCT
fuelectenerg-3144	343	24	0	0	NUM
fuelectenerg-3144	343	25	,	,	PUNCT
fuelectenerg-3144	343	26	1}n	1}n	NUM
fuelectenerg-3144	343	27	→	→	SYM
fuelectenerg-3144	343	28	{	{	PUNCT
fuelectenerg-3144	343	29	0	0	NUM
fuelectenerg-3144	343	30	,	,	PUNCT
fuelectenerg-3144	343	31	1	1	NUM
fuelectenerg-3144	343	32	}	}	PUNCT
fuelectenerg-3144	343	33	,	,	PUNCT
fuelectenerg-3144	343	34	find	find	VERB
fuelectenerg-3144	343	35	x1	x1	PROPN
fuelectenerg-3144	343	36	through	through	ADP
fuelectenerg-3144	343	37	xn	xn	PROPN
fuelectenerg-3144	343	38	such	such	ADJ
fuelectenerg-3144	343	39	that3	that3	NOUN
fuelectenerg-3144	343	40	f(x1	f(x1	NOUN
fuelectenerg-3144	343	41	,	,	PUNCT
fuelectenerg-3144	343	42	.	.	PUNCT
fuelectenerg-3144	343	43	.	.	PUNCT
fuelectenerg-3144	343	44	.	.	PUNCT
fuelectenerg-3144	344	1	,	,	PUNCT
fuelectenerg-3144	344	2	xn	xn	X
fuelectenerg-3144	344	3	)	)	PUNCT
fuelectenerg-3144	344	4	=	=	SYM
fuelectenerg-3144	344	5	1	1	X
fuelectenerg-3144	344	6	.	.	PUNCT
fuelectenerg-3144	345	1	this	this	DET
fuelectenerg-3144	345	2	type	type	NOUN
fuelectenerg-3144	345	3	of	of	ADP
fuelectenerg-3144	345	4	problem	problem	NOUN
fuelectenerg-3144	345	5	is	be	AUX
fuelectenerg-3144	345	6	commonly	commonly	ADV
fuelectenerg-3144	345	7	known	know	VERB
fuelectenerg-3144	345	8	as	as	ADP
fuelectenerg-3144	345	9	a	a	DET
fuelectenerg-3144	345	10	satisfaction	satisfaction	NOUN
fuelectenerg-3144	345	11	or	or	CCONJ
fuelectenerg-3144	345	12	decision	decision	NOUN
fuelectenerg-3144	345	13	problem	problem	NOUN
fuelectenerg-3144	345	14	.	.	PUNCT
fuelectenerg-3144	346	1	classically	classically	ADV
fuelectenerg-3144	346	2	,	,	PUNCT
fuelectenerg-3144	346	3	assuming	assume	VERB
fuelectenerg-3144	346	4	no	no	DET
fuelectenerg-3144	346	5	additional	additional	ADJ
fuelectenerg-3144	346	6	information	information	NOUN
fuelectenerg-3144	346	7	is	be	AUX
fuelectenerg-3144	346	8	known	know	VERB
fuelectenerg-3144	346	9	regarding	regard	VERB
fuelectenerg-3144	346	10	the	the	DET
fuelectenerg-3144	346	11	function	function	NOUN
fuelectenerg-3144	346	12	f	f	PROPN
fuelectenerg-3144	346	13	,	,	PUNCT
fuelectenerg-3144	346	14	one	one	PRON
fuelectenerg-3144	346	15	can	can	AUX
fuelectenerg-3144	346	16	on	on	ADP
fuelectenerg-3144	346	17	average	average	ADJ
fuelectenerg-3144	346	18	solve	solve	NOUN
fuelectenerg-3144	346	19	this	this	DET
fuelectenerg-3144	346	20	problem	problem	NOUN
fuelectenerg-3144	346	21	no	no	ADV
fuelectenerg-3144	346	22	faster	fast	ADV
fuelectenerg-3144	346	23	than	than	ADP
fuelectenerg-3144	346	24	by	by	ADP
fuelectenerg-3144	346	25	exhaustive	exhaustive	ADJ
fuelectenerg-3144	346	26	search	search	NOUN
fuelectenerg-3144	346	27	.	.	PUNCT
fuelectenerg-3144	347	1	such	such	DET
fuelectenerg-3144	347	2	a	a	DET
fuelectenerg-3144	347	3	search	search	NOUN
fuelectenerg-3144	347	4	requires	require	VERB
fuelectenerg-3144	347	5	time	time	NOUN
fuelectenerg-3144	347	6	o(n	o(n	NOUN
fuelectenerg-3144	347	7	)	)	PUNCT
fuelectenerg-3144	347	8	where	where	SCONJ
fuelectenerg-3144	347	9	n	n	NOUN
fuelectenerg-3144	347	10	=	=	SYM
fuelectenerg-3144	347	11	2n	2n	NUM
fuelectenerg-3144	347	12	,	,	PUNCT
fuelectenerg-3144	347	13	the	the	DET
fuelectenerg-3144	347	14	total	total	ADJ
fuelectenerg-3144	347	15	number	number	NOUN
fuelectenerg-3144	347	16	of	of	ADP
fuelectenerg-3144	347	17	possible	possible	ADJ
fuelectenerg-3144	347	18	assignments	assignment	NOUN
fuelectenerg-3144	347	19	of	of	ADP
fuelectenerg-3144	347	20	values	value	NOUN
fuelectenerg-3144	347	21	{	{	PUNCT
fuelectenerg-3144	347	22	0	0	NUM
fuelectenerg-3144	347	23	,	,	PUNCT
fuelectenerg-3144	347	24	1	1	NUM
fuelectenerg-3144	347	25	}	}	PUNCT
fuelectenerg-3144	347	26	to	to	ADP
fuelectenerg-3144	347	27	the	the	DET
fuelectenerg-3144	347	28	variables	variable	NOUN
fuelectenerg-3144	347	29	x1	x1	PROPN
fuelectenerg-3144	347	30	through	through	ADP
fuelectenerg-3144	347	31	xn	xn	PROPN
fuelectenerg-3144	347	32	.	.	PUNCT
fuelectenerg-3144	348	1	if	if	SCONJ
fuelectenerg-3144	348	2	a	a	DET
fuelectenerg-3144	348	3	quantum	quantum	ADJ
fuelectenerg-3144	348	4	computer	computer	NOUN
fuelectenerg-3144	348	5	is	be	AUX
fuelectenerg-3144	348	6	available	available	ADJ
fuelectenerg-3144	348	7	,	,	PUNCT
fuelectenerg-3144	348	8	however	however	ADV
fuelectenerg-3144	348	9	,	,	PUNCT
fuelectenerg-3144	348	10	grover	grover	PROPN
fuelectenerg-3144	348	11	’s	’s	PART
fuelectenerg-3144	348	12	algorithm	algorithm	NOUN
fuelectenerg-3144	348	13	provides	provide	VERB
fuelectenerg-3144	348	14	a	a	DET
fuelectenerg-3144	348	15	method	method	NOUN
fuelectenerg-3144	348	16	to	to	PART
fuelectenerg-3144	348	17	solve	solve	VERB
fuelectenerg-3144	348	18	the	the	DET
fuelectenerg-3144	348	19	same	same	ADJ
fuelectenerg-3144	348	20	problem	problem	NOUN
fuelectenerg-3144	348	21	in	in	ADP
fuelectenerg-3144	348	22	o	o	PROPN
fuelectenerg-3144	348	23	(	(	PUNCT
fuelectenerg-3144	348	24	√	√	NUM
fuelectenerg-3144	348	25	n	n	CCONJ
fuelectenerg-3144	348	26	)	)	PUNCT
fuelectenerg-3144	348	27	time	time	NOUN
fuelectenerg-3144	348	28	,	,	PUNCT
fuelectenerg-3144	348	29	a	a	DET
fuelectenerg-3144	348	30	quadratic	quadratic	ADJ
fuelectenerg-3144	348	31	speedup	speedup	NOUN
fuelectenerg-3144	348	32	.	.	PUNCT
fuelectenerg-3144	349	1	we	we	PRON
fuelectenerg-3144	349	2	first	first	ADV
fuelectenerg-3144	349	3	describe	describe	VERB
fuelectenerg-3144	349	4	grover	grover	PROPN
fuelectenerg-3144	349	5	’s	’s	PART
fuelectenerg-3144	349	6	algorithm	algorithm	NOUN
fuelectenerg-3144	349	7	with	with	ADP
fuelectenerg-3144	349	8	the	the	DET
fuelectenerg-3144	349	9	assumption	assumption	NOUN
fuelectenerg-3144	349	10	that	that	SCONJ
fuelectenerg-3144	349	11	exactly	exactly	ADV
fuelectenerg-3144	349	12	one	one	NUM
fuelectenerg-3144	349	13	solution	solution	NOUN
fuelectenerg-3144	349	14	exists	exist	VERB
fuelectenerg-3144	349	15	;	;	PUNCT
fuelectenerg-3144	349	16	that	that	PRON
fuelectenerg-3144	349	17	is	is	ADV
fuelectenerg-3144	349	18	,	,	PUNCT
fuelectenerg-3144	349	19	there	there	PRON
fuelectenerg-3144	349	20	is	be	VERB
fuelectenerg-3144	349	21	exactly	exactly	ADV
fuelectenerg-3144	349	22	one	one	NUM
fuelectenerg-3144	349	23	assignment	assignment	NOUN
fuelectenerg-3144	349	24	of	of	ADP
fuelectenerg-3144	349	25	the	the	DET
fuelectenerg-3144	349	26	values	value	NOUN
fuelectenerg-3144	349	27	{	{	PUNCT
fuelectenerg-3144	349	28	0	0	NUM
fuelectenerg-3144	349	29	,	,	PUNCT
fuelectenerg-3144	349	30	1	1	NUM
fuelectenerg-3144	349	31	}	}	PUNCT
fuelectenerg-3144	349	32	to	to	ADP
fuelectenerg-3144	349	33	x1	x1	PROPN
fuelectenerg-3144	349	34	through	through	ADP
fuelectenerg-3144	349	35	xn	xn	PROPN
fuelectenerg-3144	349	36	such	such	ADJ
fuelectenerg-3144	349	37	that	that	DET
fuelectenerg-3144	349	38	f(x1	f(x1	NOUN
fuelectenerg-3144	349	39	,	,	PUNCT
fuelectenerg-3144	349	40	.	.	PUNCT
fuelectenerg-3144	349	41	.	.	PUNCT
fuelectenerg-3144	350	1	.	.	PUNCT
fuelectenerg-3144	351	1	,	,	PUNCT
fuelectenerg-3144	351	2	xn	xn	X
fuelectenerg-3144	351	3	)	)	PUNCT
fuelectenerg-3144	351	4	=	=	SYM
fuelectenerg-3144	351	5	1	1	X
fuelectenerg-3144	351	6	.	.	PUNCT
fuelectenerg-3144	352	1	this	this	PRON
fuelectenerg-3144	352	2	is	be	AUX
fuelectenerg-3144	352	3	the	the	DET
fuelectenerg-3144	352	4	original	original	ADJ
fuelectenerg-3144	352	5	scenario	scenario	NOUN
fuelectenerg-3144	352	6	considered	consider	VERB
fuelectenerg-3144	352	7	by	by	ADP
fuelectenerg-3144	352	8	grover	grover	PROPN
fuelectenerg-3144	352	9	.	.	PUNCT
fuelectenerg-3144	353	1	later	later	ADV
fuelectenerg-3144	353	2	,	,	PUNCT
fuelectenerg-3144	353	3	we	we	PRON
fuelectenerg-3144	353	4	will	will	AUX
fuelectenerg-3144	353	5	relax	relax	VERB
fuelectenerg-3144	353	6	this	this	DET
fuelectenerg-3144	353	7	assumption	assumption	NOUN
fuelectenerg-3144	353	8	and	and	CCONJ
fuelectenerg-3144	353	9	describe	describe	VERB
fuelectenerg-3144	353	10	how	how	SCONJ
fuelectenerg-3144	353	11	the	the	DET
fuelectenerg-3144	353	12	algorithm	algorithm	NOUN
fuelectenerg-3144	353	13	can	can	AUX
fuelectenerg-3144	353	14	be	be	AUX
fuelectenerg-3144	353	15	extended	extend	VERB
fuelectenerg-3144	353	16	to	to	ADP
fuelectenerg-3144	353	17	cases	case	NOUN
fuelectenerg-3144	353	18	where	where	SCONJ
fuelectenerg-3144	353	19	there	there	PRON
fuelectenerg-3144	353	20	is	be	VERB
fuelectenerg-3144	353	21	more	more	ADJ
fuelectenerg-3144	353	22	than	than	ADP
fuelectenerg-3144	353	23	one	one	NUM
fuelectenerg-3144	353	24	solution	solution	NOUN
fuelectenerg-3144	353	25	,	,	PUNCT
fuelectenerg-3144	353	26	or	or	CCONJ
fuelectenerg-3144	353	27	no	no	DET
fuelectenerg-3144	353	28	solution	solution	NOUN
fuelectenerg-3144	353	29	at	at	ADV
fuelectenerg-3144	353	30	all	all	ADV
fuelectenerg-3144	353	31	.	.	PUNCT
fuelectenerg-3144	354	1	figure	figure	VERB
fuelectenerg-3144	354	2	3	3	NUM
fuelectenerg-3144	354	3	shows	show	VERB
fuelectenerg-3144	354	4	a	a	DET
fuelectenerg-3144	354	5	high	high	ADJ
fuelectenerg-3144	354	6	-	-	PUNCT
fuelectenerg-3144	354	7	level	level	NOUN
fuelectenerg-3144	354	8	schematic	schematic	ADJ
fuelectenerg-3144	354	9	of	of	ADP
fuelectenerg-3144	354	10	a	a	DET
fuelectenerg-3144	354	11	quantum	quantum	NOUN
fuelectenerg-3144	354	12	circuit	circuit	NOUN
fuelectenerg-3144	354	13	implementing	implement	VERB
fuelectenerg-3144	354	14	grover	grover	NOUN
fuelectenerg-3144	354	15	’s	’s	PART
fuelectenerg-3144	354	16	algorithm	algorithm	NOUN
fuelectenerg-3144	354	17	.	.	PUNCT
fuelectenerg-3144	355	1	we	we	PRON
fuelectenerg-3144	355	2	see	see	VERB
fuelectenerg-3144	355	3	that	that	SCONJ
fuelectenerg-3144	355	4	the	the	DET
fuelectenerg-3144	355	5	algorithm	algorithm	NOUN
fuelectenerg-3144	355	6	consists	consist	VERB
fuelectenerg-3144	355	7	of	of	ADP
fuelectenerg-3144	355	8	an	an	DET
fuelectenerg-3144	355	9	initialization	initialization	NOUN
fuelectenerg-3144	355	10	step	step	NOUN
fuelectenerg-3144	355	11	involving	involve	VERB
fuelectenerg-3144	355	12	hadamard	hadamard	ADJ
fuelectenerg-3144	355	13	gates	gate	NOUN
fuelectenerg-3144	355	14	,	,	PUNCT
fuelectenerg-3144	355	15	followed	follow	VERB
fuelectenerg-3144	355	16	by	by	ADP
fuelectenerg-3144	355	17	repeated	repeat	VERB
fuelectenerg-3144	355	18	applications	application	NOUN
fuelectenerg-3144	355	19	of	of	ADP
fuelectenerg-3144	355	20	an	an	DET
fuelectenerg-3144	355	21	operation	operation	NOUN
fuelectenerg-3144	355	22	g	g	NOUN
fuelectenerg-3144	355	23	(	(	PUNCT
fuelectenerg-3144	355	24	the	the	DET
fuelectenerg-3144	355	25	grover	grover	NOUN
fuelectenerg-3144	355	26	iterate	iterate	NOUN
fuelectenerg-3144	355	27	)	)	PUNCT
fuelectenerg-3144	355	28	,	,	PUNCT
fuelectenerg-3144	355	29	and	and	CCONJ
fuelectenerg-3144	355	30	then	then	ADV
fuelectenerg-3144	355	31	a	a	DET
fuelectenerg-3144	355	32	measurement	measurement	NOUN
fuelectenerg-3144	355	33	at	at	ADP
fuelectenerg-3144	355	34	the	the	DET
fuelectenerg-3144	355	35	end	end	NOUN
fuelectenerg-3144	355	36	.	.	PUNCT
fuelectenerg-3144	356	1	first	first	ADV
fuelectenerg-3144	356	2	,	,	PUNCT
fuelectenerg-3144	356	3	we	we	PRON
fuelectenerg-3144	356	4	examine	examine	VERB
fuelectenerg-3144	356	5	the	the	DET
fuelectenerg-3144	356	6	grover	grover	NOUN
fuelectenerg-3144	356	7	iterate	iterate	NOUN
fuelectenerg-3144	356	8	,	,	PUNCT
fuelectenerg-3144	356	9	which	which	PRON
fuelectenerg-3144	356	10	is	be	AUX
fuelectenerg-3144	356	11	the	the	DET
fuelectenerg-3144	356	12	most	most	ADV
fuelectenerg-3144	356	13	important	important	ADJ
fuelectenerg-3144	356	14	step	step	NOUN
fuelectenerg-3144	356	15	.	.	PUNCT
fuelectenerg-3144	357	1	the	the	DET
fuelectenerg-3144	357	2	grover	grover	PROPN
fuelectenerg-3144	357	3	iterate	iterate	NOUN
fuelectenerg-3144	357	4	accomplishes	accomplish	VERB
fuelectenerg-3144	357	5	the	the	DET
fuelectenerg-3144	357	6	task	task	NOUN
fuelectenerg-3144	357	7	of	of	ADP
fuelectenerg-3144	357	8	amplitude	amplitude	NOUN
fuelectenerg-3144	357	9	amplification	amplification	NOUN
fuelectenerg-3144	357	10	,	,	PUNCT
fuelectenerg-3144	357	11	the	the	DET
fuelectenerg-3144	357	12	central	central	ADJ
fuelectenerg-3144	357	13	concept	concept	NOUN
fuelectenerg-3144	357	14	underlying	underlie	VERB
fuelectenerg-3144	357	15	grover	grover	NOUN
fuelectenerg-3144	357	16	’s	’s	PART
fuelectenerg-3144	357	17	algorithm	algorithm	NOUN
fuelectenerg-3144	357	18	.	.	PUNCT
fuelectenerg-3144	358	1	amplitude	amplitude	NOUN
fuelectenerg-3144	358	2	amplification	amplification	NOUN
fuelectenerg-3144	358	3	is	be	AUX
fuelectenerg-3144	358	4	the	the	DET
fuelectenerg-3144	358	5	process	process	NOUN
fuelectenerg-3144	358	6	of	of	ADP
fuelectenerg-3144	358	7	selectively	selectively	ADV
fuelectenerg-3144	358	8	increasing	increase	VERB
fuelectenerg-3144	358	9	the	the	DET
fuelectenerg-3144	358	10	amplitude	amplitude	NOUN
fuelectenerg-3144	358	11	of	of	ADP
fuelectenerg-3144	358	12	a	a	DET
fuelectenerg-3144	358	13	certain	certain	ADJ
fuelectenerg-3144	358	14	component	component	NOUN
fuelectenerg-3144	358	15	state	state	NOUN
fuelectenerg-3144	358	16	of	of	ADP
fuelectenerg-3144	358	17	a	a	DET
fuelectenerg-3144	358	18	superposition	superposition	NOUN
fuelectenerg-3144	358	19	,	,	PUNCT
fuelectenerg-3144	358	20	while	while	SCONJ
fuelectenerg-3144	358	21	decreasing	decrease	VERB
fuelectenerg-3144	358	22	the	the	DET
fuelectenerg-3144	358	23	amplitudes	amplitude	NOUN
fuelectenerg-3144	358	24	of	of	ADP
fuelectenerg-3144	358	25	all	all	DET
fuelectenerg-3144	358	26	other	other	ADJ
fuelectenerg-3144	358	27	3the	3the	ADJ
fuelectenerg-3144	358	28	variables	variable	NOUN
fuelectenerg-3144	358	29	x1	x1	PROPN
fuelectenerg-3144	358	30	through	through	ADP
fuelectenerg-3144	358	31	xn	xn	PROPN
fuelectenerg-3144	358	32	in	in	ADP
fuelectenerg-3144	358	33	this	this	DET
fuelectenerg-3144	358	34	case	case	NOUN
fuelectenerg-3144	358	35	are	be	AUX
fuelectenerg-3144	358	36	simply	simply	ADV
fuelectenerg-3144	358	37	inputs	input	NOUN
fuelectenerg-3144	358	38	to	to	ADP
fuelectenerg-3144	358	39	the	the	DET
fuelectenerg-3144	358	40	function	function	NOUN
fuelectenerg-3144	358	41	f	f	PROPN
fuelectenerg-3144	358	42	and	and	CCONJ
fuelectenerg-3144	358	43	are	be	AUX
fuelectenerg-3144	358	44	unrelated	unrelated	ADJ
fuelectenerg-3144	358	45	to	to	ADP
fuelectenerg-3144	358	46	the	the	DET
fuelectenerg-3144	358	47	input	input	NOUN
fuelectenerg-3144	358	48	variables	variable	NOUN
fuelectenerg-3144	358	49	of	of	ADP
fuelectenerg-3144	358	50	an	an	DET
fuelectenerg-3144	358	51	fsm	fsm	PROPN
fuelectenerg-3144	358	52	.	.	PROPN
fuelectenerg-3144	359	1	10	10	NUM
fuelectenerg-3144	359	2	o	o	NOUN
fuelectenerg-3144	359	3	h	h	NOUN
fuelectenerg-3144	359	4	h	h	NOUN
fuelectenerg-3144	359	5	h	h	NOUN
fuelectenerg-3144	359	6	h	h	NOUN
fuelectenerg-3144	360	1	h	h	NOUN
fuelectenerg-3144	360	2	h	h	NOUN
fuelectenerg-3144	360	3	h	h	NOUN
fuelectenerg-3144	361	1	h	h	NOUN
fuelectenerg-3144	361	2	z	z	NOUN
fuelectenerg-3144	361	3	figure	figure	VERB
fuelectenerg-3144	361	4	4	4	NUM
fuelectenerg-3144	361	5	:	:	PUNCT
fuelectenerg-3144	361	6	structure	structure	NOUN
fuelectenerg-3144	361	7	of	of	ADP
fuelectenerg-3144	361	8	the	the	DET
fuelectenerg-3144	361	9	grover	grover	NOUN
fuelectenerg-3144	361	10	iterate	iterate	VERB
fuelectenerg-3144	361	11	g	g	NOUN
fuelectenerg-3144	361	12	from	from	ADP
fuelectenerg-3144	361	13	figure	figure	NOUN
fuelectenerg-3144	361	14	3	3	NUM
fuelectenerg-3144	361	15	with	with	ADP
fuelectenerg-3144	361	16	quantum	quantum	ADJ
fuelectenerg-3144	361	17	oracle	oracle	NOUN
fuelectenerg-3144	361	18	o	o	NOUN
fuelectenerg-3144	361	19	and	and	CCONJ
fuelectenerg-3144	361	20	zero	zero	NUM
fuelectenerg-3144	361	21	-	-	PUNCT
fuelectenerg-3144	361	22	state	state	NOUN
fuelectenerg-3144	361	23	phase	phase	NOUN
fuelectenerg-3144	361	24	shift	shift	NOUN
fuelectenerg-3144	361	25	z.	z.	PROPN
fuelectenerg-3144	361	26	component	component	NOUN
fuelectenerg-3144	361	27	states	state	NOUN
fuelectenerg-3144	361	28	.	.	PUNCT
fuelectenerg-3144	362	1	in	in	ADP
fuelectenerg-3144	362	2	grover	grover	PROPN
fuelectenerg-3144	362	3	’s	’s	PART
fuelectenerg-3144	362	4	algorithm	algorithm	NOUN
fuelectenerg-3144	362	5	,	,	PUNCT
fuelectenerg-3144	362	6	the	the	DET
fuelectenerg-3144	362	7	component	component	NOUN
fuelectenerg-3144	362	8	state	state	NOUN
fuelectenerg-3144	362	9	whose	whose	DET
fuelectenerg-3144	362	10	amplitude	amplitude	NOUN
fuelectenerg-3144	362	11	is	be	AUX
fuelectenerg-3144	362	12	increased	increase	VERB
fuelectenerg-3144	362	13	corresponds	correspond	NOUN
fuelectenerg-3144	362	14	to	to	ADP
fuelectenerg-3144	362	15	the	the	DET
fuelectenerg-3144	362	16	variable	variable	ADJ
fuelectenerg-3144	362	17	assignment	assignment	NOUN
fuelectenerg-3144	362	18	satisfying	satisfy	VERB
fuelectenerg-3144	362	19	the	the	DET
fuelectenerg-3144	362	20	function	function	NOUN
fuelectenerg-3144	362	21	f	f	PROPN
fuelectenerg-3144	362	22	.	.	PUNCT
fuelectenerg-3144	363	1	by	by	ADP
fuelectenerg-3144	363	2	applying	apply	VERB
fuelectenerg-3144	363	3	the	the	DET
fuelectenerg-3144	363	4	grover	grover	NOUN
fuelectenerg-3144	363	5	iterate	iterate	NOUN
fuelectenerg-3144	363	6	enough	enough	ADJ
fuelectenerg-3144	363	7	times	time	NOUN
fuelectenerg-3144	363	8	to	to	ADP
fuelectenerg-3144	363	9	a	a	DET
fuelectenerg-3144	363	10	superposition	superposition	NOUN
fuelectenerg-3144	363	11	,	,	PUNCT
fuelectenerg-3144	363	12	one	one	PRON
fuelectenerg-3144	363	13	obtains	obtain	VERB
fuelectenerg-3144	363	14	a	a	DET
fuelectenerg-3144	363	15	quantum	quantum	ADJ
fuelectenerg-3144	363	16	state	state	NOUN
fuelectenerg-3144	363	17	where	where	SCONJ
fuelectenerg-3144	363	18	the	the	DET
fuelectenerg-3144	363	19	component	component	NOUN
fuelectenerg-3144	363	20	corresponding	correspond	VERB
fuelectenerg-3144	363	21	to	to	ADP
fuelectenerg-3144	363	22	the	the	DET
fuelectenerg-3144	363	23	satisfactory	satisfactory	ADJ
fuelectenerg-3144	363	24	variable	variable	ADJ
fuelectenerg-3144	363	25	assignment	assignment	NOUN
fuelectenerg-3144	363	26	has	have	VERB
fuelectenerg-3144	363	27	an	an	DET
fuelectenerg-3144	363	28	amplitude	amplitude	NOUN
fuelectenerg-3144	363	29	near	near	ADP
fuelectenerg-3144	363	30	1	1	NUM
fuelectenerg-3144	363	31	;	;	PUNCT
fuelectenerg-3144	363	32	all	all	DET
fuelectenerg-3144	363	33	other	other	ADJ
fuelectenerg-3144	363	34	components	component	NOUN
fuelectenerg-3144	363	35	have	have	VERB
fuelectenerg-3144	363	36	zero	zero	NUM
fuelectenerg-3144	363	37	or	or	CCONJ
fuelectenerg-3144	363	38	negligibly	negligibly	ADV
fuelectenerg-3144	363	39	small	small	ADJ
fuelectenerg-3144	363	40	amplitudes	amplitude	NOUN
fuelectenerg-3144	363	41	.	.	PUNCT
fuelectenerg-3144	364	1	a	a	DET
fuelectenerg-3144	364	2	measurement	measurement	NOUN
fuelectenerg-3144	364	3	then	then	ADV
fuelectenerg-3144	364	4	gives	give	VERB
fuelectenerg-3144	364	5	(	(	PUNCT
fuelectenerg-3144	364	6	with	with	ADP
fuelectenerg-3144	364	7	probability	probability	NOUN
fuelectenerg-3144	364	8	near	near	ADP
fuelectenerg-3144	364	9	1	1	NUM
fuelectenerg-3144	364	10	)	)	PUNCT
fuelectenerg-3144	364	11	a	a	DET
fuelectenerg-3144	364	12	variable	variable	ADJ
fuelectenerg-3144	364	13	assignment	assignment	NOUN
fuelectenerg-3144	364	14	satisfying	satisfy	VERB
fuelectenerg-3144	364	15	f	f	PROPN
fuelectenerg-3144	364	16	.	.	PUNCT
fuelectenerg-3144	365	1	figure	figure	VERB
fuelectenerg-3144	365	2	4	4	NUM
fuelectenerg-3144	365	3	depicts	depict	VERB
fuelectenerg-3144	365	4	a	a	DET
fuelectenerg-3144	365	5	schematic	schematic	ADJ
fuelectenerg-3144	365	6	of	of	ADP
fuelectenerg-3144	365	7	the	the	DET
fuelectenerg-3144	365	8	grover	grover	NOUN
fuelectenerg-3144	365	9	iterate	iterate	NOUN
fuelectenerg-3144	365	10	,	,	PUNCT
fuelectenerg-3144	365	11	showing	show	VERB
fuelectenerg-3144	365	12	that	that	SCONJ
fuelectenerg-3144	365	13	it	it	PRON
fuelectenerg-3144	365	14	consists	consist	VERB
fuelectenerg-3144	365	15	of	of	ADP
fuelectenerg-3144	365	16	a	a	DET
fuelectenerg-3144	365	17	quantum	quantum	ADJ
fuelectenerg-3144	365	18	oracle	oracle	NOUN
fuelectenerg-3144	365	19	o	o	NOUN
fuelectenerg-3144	365	20	,	,	PUNCT
fuelectenerg-3144	365	21	followed	follow	VERB
fuelectenerg-3144	365	22	by	by	ADP
fuelectenerg-3144	365	23	the	the	DET
fuelectenerg-3144	365	24	zero	zero	NUM
fuelectenerg-3144	365	25	-	-	PUNCT
fuelectenerg-3144	365	26	state	state	NOUN
fuelectenerg-3144	365	27	phase	phase	NOUN
fuelectenerg-3144	365	28	shift	shift	NOUN
fuelectenerg-3144	365	29	z	z	NOUN
fuelectenerg-3144	365	30	surrounded	surround	VERB
fuelectenerg-3144	365	31	by	by	ADP
fuelectenerg-3144	365	32	arrays	array	NOUN
fuelectenerg-3144	365	33	of	of	ADP
fuelectenerg-3144	365	34	hadamard	hadamard	ADJ
fuelectenerg-3144	365	35	gates	gate	NOUN
fuelectenerg-3144	365	36	.	.	PUNCT
fuelectenerg-3144	366	1	the	the	DET
fuelectenerg-3144	366	2	quantum	quantum	PROPN
fuelectenerg-3144	366	3	oracle	oracle	NOUN
fuelectenerg-3144	366	4	is	be	AUX
fuelectenerg-3144	366	5	a	a	DET
fuelectenerg-3144	366	6	quantum	quantum	ADJ
fuelectenerg-3144	366	7	circuit	circuit	NOUN
fuelectenerg-3144	366	8	implementation	implementation	NOUN
fuelectenerg-3144	366	9	of	of	ADP
fuelectenerg-3144	366	10	the	the	DET
fuelectenerg-3144	366	11	function	function	NOUN
fuelectenerg-3144	366	12	f	f	X
fuelectenerg-3144	366	13	to	to	PART
fuelectenerg-3144	366	14	be	be	AUX
fuelectenerg-3144	366	15	satisfied	satisfied	ADJ
fuelectenerg-3144	366	16	.	.	PUNCT
fuelectenerg-3144	367	1	more	more	ADV
fuelectenerg-3144	367	2	specifically	specifically	ADV
fuelectenerg-3144	367	3	,	,	PUNCT
fuelectenerg-3144	367	4	the	the	DET
fuelectenerg-3144	367	5	oracle	oracle	NOUN
fuelectenerg-3144	367	6	acts	act	VERB
fuelectenerg-3144	367	7	as	as	ADP
fuelectenerg-3144	367	8	a	a	DET
fuelectenerg-3144	367	9	“	"	PUNCT
fuelectenerg-3144	367	10	controlled	control	VERB
fuelectenerg-3144	367	11	inverter	inverter	NOUN
fuelectenerg-3144	367	12	”	"	PUNCT
fuelectenerg-3144	367	13	controlled	control	VERB
fuelectenerg-3144	367	14	by	by	ADP
fuelectenerg-3144	367	15	f	f	PROPN
fuelectenerg-3144	367	16	.	.	PUNCT
fuelectenerg-3144	368	1	that	that	PRON
fuelectenerg-3144	368	2	is	is	ADV
fuelectenerg-3144	368	3	,	,	PUNCT
fuelectenerg-3144	368	4	the	the	DET
fuelectenerg-3144	368	5	quantum	quantum	ADJ
fuelectenerg-3144	368	6	oracle	oracle	NOUN
fuelectenerg-3144	368	7	acts	act	VERB
fuelectenerg-3144	368	8	on	on	ADP
fuelectenerg-3144	368	9	qubits	qubit	NOUN
fuelectenerg-3144	368	10	x1	x1	ADJ
fuelectenerg-3144	368	11	through	through	ADP
fuelectenerg-3144	368	12	xn	xn	PROPN
fuelectenerg-3144	368	13	together	together	ADV
fuelectenerg-3144	368	14	with	with	ADP
fuelectenerg-3144	368	15	an	an	DET
fuelectenerg-3144	368	16	additional	additional	ADJ
fuelectenerg-3144	368	17	output	output	NOUN
fuelectenerg-3144	368	18	qubit	qubit	NOUN
fuelectenerg-3144	368	19	,	,	PUNCT
fuelectenerg-3144	368	20	and	and	CCONJ
fuelectenerg-3144	368	21	,	,	PUNCT
fuelectenerg-3144	368	22	for	for	ADP
fuelectenerg-3144	368	23	each	each	DET
fuelectenerg-3144	368	24	possible	possible	ADJ
fuelectenerg-3144	368	25	basis	basis	NOUN
fuelectenerg-3144	368	26	state	state	NOUN
fuelectenerg-3144	368	27	of	of	ADP
fuelectenerg-3144	368	28	x1	x1	PROPN
fuelectenerg-3144	368	29	through	through	ADP
fuelectenerg-3144	368	30	xn	xn	PROPN
fuelectenerg-3144	368	31	,	,	PUNCT
fuelectenerg-3144	368	32	the	the	DET
fuelectenerg-3144	368	33	oracle	oracle	NOUN
fuelectenerg-3144	368	34	inverts	invert	VERB
fuelectenerg-3144	368	35	the	the	DET
fuelectenerg-3144	368	36	output	output	NOUN
fuelectenerg-3144	368	37	qubit	qubit	NOUN
fuelectenerg-3144	368	38	if	if	SCONJ
fuelectenerg-3144	368	39	and	and	CCONJ
fuelectenerg-3144	368	40	only	only	ADV
fuelectenerg-3144	368	41	if	if	SCONJ
fuelectenerg-3144	368	42	f(x1	f(x1	ADJ
fuelectenerg-3144	368	43	,	,	PUNCT
fuelectenerg-3144	368	44	.	.	PUNCT
fuelectenerg-3144	368	45	.	.	PUNCT
fuelectenerg-3144	369	1	.	.	PUNCT
fuelectenerg-3144	370	1	,	,	PUNCT
fuelectenerg-3144	370	2	xn	xn	X
fuelectenerg-3144	370	3	)	)	PUNCT
fuelectenerg-3144	370	4	=	=	SYM
fuelectenerg-3144	370	5	1	1	X
fuelectenerg-3144	370	6	.	.	X
fuelectenerg-3144	370	7	figure	figure	VERB
fuelectenerg-3144	370	8	5	5	NUM
fuelectenerg-3144	370	9	depicts	depict	VERB
fuelectenerg-3144	370	10	an	an	DET
fuelectenerg-3144	370	11	alternative	alternative	ADJ
fuelectenerg-3144	370	12	schematic	schematic	ADJ
fuelectenerg-3144	370	13	symbol	symbol	NOUN
fuelectenerg-3144	370	14	for	for	ADP
fuelectenerg-3144	370	15	the	the	DET
fuelectenerg-3144	370	16	oracle	oracle	NOUN
fuelectenerg-3144	370	17	that	that	PRON
fuelectenerg-3144	370	18	graphically	graphically	ADV
fuelectenerg-3144	370	19	suggests	suggest	VERB
fuelectenerg-3144	370	20	this	this	DET
fuelectenerg-3144	370	21	“	"	PUNCT
fuelectenerg-3144	370	22	controlled	control	VERB
fuelectenerg-3144	370	23	”	"	PUNCT
fuelectenerg-3144	370	24	nature	nature	NOUN
fuelectenerg-3144	370	25	.	.	PUNCT
fuelectenerg-3144	371	1	the	the	DET
fuelectenerg-3144	371	2	quantum	quantum	PROPN
fuelectenerg-3144	371	3	oracle	oracle	NOUN
fuelectenerg-3144	371	4	essentially	essentially	ADV
fuelectenerg-3144	371	5	defines	define	VERB
fuelectenerg-3144	371	6	the	the	DET
fuelectenerg-3144	371	7	search	search	NOUN
fuelectenerg-3144	371	8	criteria	criterion	NOUN
fuelectenerg-3144	371	9	for	for	ADP
fuelectenerg-3144	371	10	grover	grover	NOUN
fuelectenerg-3144	371	11	’s	’s	PART
fuelectenerg-3144	371	12	algorithm	algorithm	NOUN
fuelectenerg-3144	371	13	and	and	CCONJ
fuelectenerg-3144	371	14	is	be	AUX
fuelectenerg-3144	371	15	the	the	DET
fuelectenerg-3144	371	16	only	only	ADJ
fuelectenerg-3144	371	17	part	part	NOUN
fuelectenerg-3144	371	18	of	of	ADP
fuelectenerg-3144	371	19	grover	grover	NOUN
fuelectenerg-3144	371	20	’s	’s	PART
fuelectenerg-3144	371	21	algorithm	algorithm	NOUN
fuelectenerg-3144	371	22	whose	whose	DET
fuelectenerg-3144	371	23	precise	precise	ADJ
fuelectenerg-3144	371	24	details	detail	NOUN
fuelectenerg-3144	371	25	depend	depend	VERB
fuelectenerg-3144	371	26	on	on	ADP
fuelectenerg-3144	371	27	the	the	DET
fuelectenerg-3144	371	28	nature	nature	NOUN
fuelectenerg-3144	371	29	of	of	ADP
fuelectenerg-3144	371	30	the	the	DET
fuelectenerg-3144	371	31	function	function	NOUN
fuelectenerg-3144	371	32	f	f	PROPN
fuelectenerg-3144	371	33	.	.	PUNCT
fuelectenerg-3144	372	1	therefore	therefore	ADV
fuelectenerg-3144	372	2	,	,	PUNCT
fuelectenerg-3144	372	3	a	a	DET
fuelectenerg-3144	372	4	quantum	quantum	NOUN
fuelectenerg-3144	372	5	computer	computer	NOUN
fuelectenerg-3144	372	6	can	can	AUX
fuelectenerg-3144	372	7	not	not	PART
fuelectenerg-3144	372	8	execute	execute	VERB
fuelectenerg-3144	372	9	grover	grover	NOUN
fuelectenerg-3144	372	10	’s	’s	PART
fuelectenerg-3144	372	11	algorithm	algorithm	NOUN
fuelectenerg-3144	372	12	for	for	ADP
fuelectenerg-3144	372	13	a	a	DET
fuelectenerg-3144	372	14	given	give	VERB
fuelectenerg-3144	372	15	function	function	NOUN
fuelectenerg-3144	372	16	f	f	PROPN
fuelectenerg-3144	372	17	unless	unless	SCONJ
fuelectenerg-3144	372	18	a	a	DET
fuelectenerg-3144	372	19	quantum	quantum	NOUN
fuelectenerg-3144	372	20	oracle	oracle	NOUN
fuelectenerg-3144	372	21	for	for	ADP
fuelectenerg-3144	372	22	f	f	PROPN
fuelectenerg-3144	372	23	is	be	AUX
fuelectenerg-3144	372	24	available	available	ADJ
fuelectenerg-3144	372	25	.	.	PUNCT
fuelectenerg-3144	373	1	for	for	ADP
fuelectenerg-3144	373	2	some	some	PRON
fuelectenerg-3144	373	3	—	—	PUNCT
fuelectenerg-3144	373	4	if	if	SCONJ
fuelectenerg-3144	373	5	not	not	PART
fuelectenerg-3144	373	6	the	the	DET
fuelectenerg-3144	373	7	majority	majority	NOUN
fuelectenerg-3144	373	8	of	of	ADP
fuelectenerg-3144	373	9	—	—	PUNCT
fuelectenerg-3144	373	10	satisfaction	satisfaction	NOUN
fuelectenerg-3144	373	11	problems	problem	NOUN
fuelectenerg-3144	373	12	arising	arise	VERB
fuelectenerg-3144	373	13	from	from	ADP
fuelectenerg-3144	373	14	practical	practical	ADJ
fuelectenerg-3144	373	15	scenarios	scenario	NOUN
fuelectenerg-3144	373	16	,	,	PUNCT
fuelectenerg-3144	373	17	the	the	DET
fuelectenerg-3144	373	18	function	function	NOUN
fuelectenerg-3144	373	19	f	f	PROPN
fuelectenerg-3144	373	20	is	be	AUX
fuelectenerg-3144	373	21	not	not	PART
fuelectenerg-3144	373	22	given	give	VERB
fuelectenerg-3144	373	23	explicitly	explicitly	ADV
fuelectenerg-3144	373	24	as	as	ADP
fuelectenerg-3144	373	25	a	a	DET
fuelectenerg-3144	373	26	formula	formula	NOUN
fuelectenerg-3144	373	27	,	,	PUNCT
fuelectenerg-3144	373	28	but	but	CCONJ
fuelectenerg-3144	373	29	is	be	AUX
fuelectenerg-3144	373	30	instead	instead	ADV
fuelectenerg-3144	373	31	only	only	ADV
fuelectenerg-3144	373	32	defined	define	VERB
fuelectenerg-3144	373	33	indirectly	indirectly	ADV
fuelectenerg-3144	373	34	through	through	ADP
fuelectenerg-3144	373	35	a	a	DET
fuelectenerg-3144	373	36	set	set	NOUN
fuelectenerg-3144	373	37	of	of	ADP
fuelectenerg-3144	373	38	conditions	condition	NOUN
fuelectenerg-3144	373	39	or	or	CCONJ
fuelectenerg-3144	373	40	constraints	constraint	NOUN
fuelectenerg-3144	373	41	.	.	PUNCT
fuelectenerg-3144	374	1	in	in	ADP
fuelectenerg-3144	374	2	such	such	DET
fuelectenerg-3144	374	3	a	a	DET
fuelectenerg-3144	374	4	case	case	NOUN
fuelectenerg-3144	374	5	,	,	PUNCT
fuelectenerg-3144	374	6	designing	design	VERB
fuelectenerg-3144	374	7	a	a	DET
fuelectenerg-3144	374	8	quantum	quantum	ADJ
fuelectenerg-3144	374	9	oracle	oracle	NOUN
fuelectenerg-3144	374	10	is	be	AUX
fuelectenerg-3144	374	11	far	far	ADV
fuelectenerg-3144	374	12	from	from	ADP
fuelectenerg-3144	374	13	trivial	trivial	ADJ
fuelectenerg-3144	374	14	.	.	PUNCT
fuelectenerg-3144	375	1	in	in	ADP
fuelectenerg-3144	375	2	the	the	DET
fuelectenerg-3144	375	3	subsequent	subsequent	ADJ
fuelectenerg-3144	375	4	sections	section	NOUN
fuelectenerg-3144	375	5	of	of	ADP
fuelectenerg-3144	375	6	this	this	DET
fuelectenerg-3144	375	7	paper	paper	NOUN
fuelectenerg-3144	375	8	,	,	PUNCT
fuelectenerg-3144	375	9	we	we	PRON
fuelectenerg-3144	375	10	will	will	AUX
fuelectenerg-3144	375	11	concentrate	concentrate	VERB
fuelectenerg-3144	375	12	on	on	ADP
fuelectenerg-3144	375	13	how	how	SCONJ
fuelectenerg-3144	375	14	to	to	PART
fuelectenerg-3144	375	15	design	design	VERB
fuelectenerg-3144	375	16	a	a	DET
fuelectenerg-3144	375	17	quantum	quantum	ADJ
fuelectenerg-3144	375	18	oracle	oracle	NOUN
fuelectenerg-3144	375	19	that	that	PRON
fuelectenerg-3144	375	20	can	can	AUX
fuelectenerg-3144	375	21	,	,	PUNCT
fuelectenerg-3144	375	22	when	when	SCONJ
fuelectenerg-3144	375	23	used	use	VERB
fuelectenerg-3144	375	24	in	in	ADP
fuelectenerg-3144	375	25	grover	grover	PROPN
fuelectenerg-3144	375	26	’s	’s	PART
fuelectenerg-3144	375	27	algorithm	algorithm	NOUN
fuelectenerg-3144	375	28	,	,	PUNCT
fuelectenerg-3144	375	29	help	help	AUX
fuelectenerg-3144	375	30	find	find	VERB
fuelectenerg-3144	375	31	the	the	DET
fuelectenerg-3144	375	32	optimal	optimal	ADJ
fuelectenerg-3144	375	33	state	state	NOUN
fuelectenerg-3144	375	34	encoding	encoding	NOUN
fuelectenerg-3144	375	35	for	for	ADP
fuelectenerg-3144	375	36	an	an	DET
fuelectenerg-3144	375	37	fsm	fsm	PROPN
fuelectenerg-3144	375	38	.	.	PUNCT
fuelectenerg-3144	376	1	for	for	ADP
fuelectenerg-3144	376	2	now	now	ADV
fuelectenerg-3144	376	3	,	,	PUNCT
fuelectenerg-3144	376	4	we	we	PRON
fuelectenerg-3144	376	5	examine	examine	VERB
fuelectenerg-3144	376	6	the	the	DET
fuelectenerg-3144	376	7	quantum	quantum	PROPN
fuelectenerg-3144	376	8	oracle	oracle	NOUN
fuelectenerg-3144	376	9	’s	’s	PART
fuelectenerg-3144	376	10	role	role	NOUN
fuelectenerg-3144	376	11	in	in	ADP
fuelectenerg-3144	376	12	grover	grover	PROPN
fuelectenerg-3144	376	13	’s	’s	PART
fuelectenerg-3144	376	14	algorithm	algorithm	NOUN
fuelectenerg-3144	376	15	without	without	ADP
fuelectenerg-3144	376	16	concern	concern	NOUN
fuelectenerg-3144	376	17	for	for	ADP
fuelectenerg-3144	376	18	the	the	DET
fuelectenerg-3144	376	19	details	detail	NOUN
fuelectenerg-3144	376	20	of	of	ADP
fuelectenerg-3144	376	21	its	its	PRON
fuelectenerg-3144	376	22	implementation	implementation	NOUN
fuelectenerg-3144	376	23	.	.	PUNCT
fuelectenerg-3144	377	1	in	in	ADP
fuelectenerg-3144	377	2	grover	grover	PROPN
fuelectenerg-3144	377	3	’s	’s	PART
fuelectenerg-3144	377	4	algorithm	algorithm	NOUN
fuelectenerg-3144	377	5	,	,	PUNCT
fuelectenerg-3144	377	6	the	the	DET
fuelectenerg-3144	377	7	quantum	quantum	ADJ
fuelectenerg-3144	377	8	oracle	oracle	NOUN
fuelectenerg-3144	377	9	performs	perform	VERB
fuelectenerg-3144	377	10	a	a	DET
fuelectenerg-3144	377	11	phase	phase	NOUN
fuelectenerg-3144	377	12	flip	flip	NOUN
fuelectenerg-3144	377	13	,	,	PUNCT
fuelectenerg-3144	377	14	essentially	essentially	ADV
fuelectenerg-3144	377	15	“	"	PUNCT
fuelectenerg-3144	377	16	marking	mark	VERB
fuelectenerg-3144	377	17	”	"	PUNCT
fuelectenerg-3144	377	18	the	the	DET
fuelectenerg-3144	377	19	component	component	NOUN
fuelectenerg-3144	377	20	of	of	ADP
fuelectenerg-3144	377	21	a	a	DET
fuelectenerg-3144	377	22	superposition	superposition	NOUN
fuelectenerg-3144	377	23	that	that	PRON
fuelectenerg-3144	377	24	corresponds	correspond	VERB
fuelectenerg-3144	377	25	to	to	ADP
fuelectenerg-3144	377	26	the	the	DET
fuelectenerg-3144	377	27	variable	variable	ADJ
fuelectenerg-3144	377	28	assignment	assignment	NOUN
fuelectenerg-3144	377	29	satisfying	satisfy	VERB
fuelectenerg-3144	377	30	the	the	DET
fuelectenerg-3144	377	31	function	function	NOUN
fuelectenerg-3144	377	32	f	f	X
fuelectenerg-3144	377	33	—	—	PUNCT
fuelectenerg-3144	377	34	from	from	ADP
fuelectenerg-3144	377	35	now	now	ADV
fuelectenerg-3144	377	36	on	on	ADV
fuelectenerg-3144	377	37	,	,	PUNCT
fuelectenerg-3144	377	38	we	we	PRON
fuelectenerg-3144	377	39	will	will	AUX
fuelectenerg-3144	377	40	11	11	NUM
fuelectenerg-3144	377	41	178	178	NUM
fuelectenerg-3144	377	42	e.	e.	PROPN
fuelectenerg-3144	377	43	tsai	tsai	PROPN
fuelectenerg-3144	377	44	,	,	PUNCT
fuelectenerg-3144	377	45	m.	m.	PROPN
fuelectenerg-3144	377	46	perkowski	perkowski	PROPN
fuelectenerg-3144	377	47	a	a	DET
fuelectenerg-3144	377	48	quantum	quantum	ADJ
fuelectenerg-3144	377	49	algorithm	algorithm	NOUN
fuelectenerg-3144	377	50	for	for	ADP
fuelectenerg-3144	377	51	automata	automata	NOUN
fuelectenerg-3144	377	52	encoding	encode	VERB
fuelectenerg-3144	377	53	179	179	NUM
fuelectenerg-3144	378	1	|0	|0	NUM
fuelectenerg-3144	378	2	〉	〉	NUM
fuelectenerg-3144	378	3	|0	|0	NUM
fuelectenerg-3144	378	4	〉	〉	PROPN
fuelectenerg-3144	378	5	|0	|0	NUM
fuelectenerg-3144	378	6	〉	〉	PROPN
fuelectenerg-3144	378	7	|0	|0	NUM
fuelectenerg-3144	378	8	〉	〉	PROPN
fuelectenerg-3144	378	9	|1	|1	NUM
fuelectenerg-3144	378	10	〉	〉	NOUN
fuelectenerg-3144	378	11	h	h	NOUN
fuelectenerg-3144	378	12	h	h	NOUN
fuelectenerg-3144	379	1	h	h	NOUN
fuelectenerg-3144	380	1	h	h	NOUN
fuelectenerg-3144	381	1	h	h	NOUN
fuelectenerg-3144	382	1	g	g	PROPN
fuelectenerg-3144	382	2	g	g	PROPN
fuelectenerg-3144	382	3	g	g	PROPN
fuelectenerg-3144	382	4	figure	figure	NOUN
fuelectenerg-3144	382	5	3	3	NUM
fuelectenerg-3144	382	6	:	:	PUNCT
fuelectenerg-3144	382	7	a	a	DET
fuelectenerg-3144	382	8	high	high	ADJ
fuelectenerg-3144	382	9	-	-	PUNCT
fuelectenerg-3144	382	10	level	level	NOUN
fuelectenerg-3144	382	11	schematic	schematic	ADJ
fuelectenerg-3144	382	12	for	for	ADP
fuelectenerg-3144	382	13	grover	grover	NOUN
fuelectenerg-3144	382	14	’s	’s	PART
fuelectenerg-3144	382	15	algorithm	algorithm	NOUN
fuelectenerg-3144	382	16	.	.	PUNCT
fuelectenerg-3144	383	1	a	a	DET
fuelectenerg-3144	383	2	detailed	detailed	ADJ
fuelectenerg-3144	383	3	treatment	treatment	NOUN
fuelectenerg-3144	383	4	of	of	ADP
fuelectenerg-3144	383	5	the	the	DET
fuelectenerg-3144	383	6	preceding	precede	VERB
fuelectenerg-3144	383	7	concepts	concept	NOUN
fuelectenerg-3144	383	8	,	,	PUNCT
fuelectenerg-3144	383	9	we	we	PRON
fuelectenerg-3144	383	10	refer	refer	VERB
fuelectenerg-3144	383	11	the	the	DET
fuelectenerg-3144	383	12	reader	reader	NOUN
fuelectenerg-3144	383	13	to	to	ADP
fuelectenerg-3144	383	14	[	[	X
fuelectenerg-3144	383	15	16	16	NUM
fuelectenerg-3144	383	16	]	]	PUNCT
fuelectenerg-3144	383	17	.	.	PUNCT
fuelectenerg-3144	384	1	we	we	PRON
fuelectenerg-3144	384	2	concentrate	concentrate	VERB
fuelectenerg-3144	384	3	on	on	ADP
fuelectenerg-3144	384	4	reviewing	review	VERB
fuelectenerg-3144	384	5	the	the	DET
fuelectenerg-3144	384	6	conceptual	conceptual	ADJ
fuelectenerg-3144	384	7	aspects	aspect	NOUN
fuelectenerg-3144	384	8	of	of	ADP
fuelectenerg-3144	384	9	grover	grover	PROPN
fuelectenerg-3144	384	10	’s	’s	PART
fuelectenerg-3144	384	11	algorithm	algorithm	NOUN
fuelectenerg-3144	384	12	rather	rather	ADV
fuelectenerg-3144	384	13	than	than	ADP
fuelectenerg-3144	384	14	proving	prove	VERB
fuelectenerg-3144	384	15	that	that	SCONJ
fuelectenerg-3144	384	16	the	the	DET
fuelectenerg-3144	384	17	algorithm	algorithm	NOUN
fuelectenerg-3144	384	18	functions	function	NOUN
fuelectenerg-3144	384	19	as	as	SCONJ
fuelectenerg-3144	384	20	claimed	claim	VERB
fuelectenerg-3144	384	21	.	.	PUNCT
fuelectenerg-3144	385	1	full	full	ADJ
fuelectenerg-3144	385	2	proofs	proof	NOUN
fuelectenerg-3144	385	3	of	of	ADP
fuelectenerg-3144	385	4	the	the	DET
fuelectenerg-3144	385	5	validity	validity	NOUN
fuelectenerg-3144	385	6	of	of	ADP
fuelectenerg-3144	385	7	grover	grover	PROPN
fuelectenerg-3144	385	8	’s	’s	PART
fuelectenerg-3144	385	9	algorithm	algorithm	NOUN
fuelectenerg-3144	385	10	are	be	AUX
fuelectenerg-3144	385	11	well	well	ADV
fuelectenerg-3144	385	12	known	know	VERB
fuelectenerg-3144	385	13	and	and	CCONJ
fuelectenerg-3144	385	14	may	may	AUX
fuelectenerg-3144	385	15	be	be	AUX
fuelectenerg-3144	385	16	found	find	VERB
fuelectenerg-3144	385	17	,	,	PUNCT
fuelectenerg-3144	385	18	for	for	ADP
fuelectenerg-3144	385	19	instance	instance	NOUN
fuelectenerg-3144	385	20	,	,	PUNCT
fuelectenerg-3144	385	21	in	in	ADP
fuelectenerg-3144	385	22	[	[	X
fuelectenerg-3144	385	23	3	3	NUM
fuelectenerg-3144	385	24	,	,	PUNCT
fuelectenerg-3144	385	25	16	16	NUM
fuelectenerg-3144	385	26	]	]	PUNCT
fuelectenerg-3144	385	27	.	.	PUNCT
fuelectenerg-3144	386	1	grover	grover	PROPN
fuelectenerg-3144	386	2	’s	’s	PART
fuelectenerg-3144	386	3	algorithm	algorithm	NOUN
fuelectenerg-3144	386	4	[	[	X
fuelectenerg-3144	386	5	2	2	NUM
fuelectenerg-3144	386	6	,	,	PUNCT
fuelectenerg-3144	386	7	3	3	NUM
fuelectenerg-3144	386	8	,	,	PUNCT
fuelectenerg-3144	386	9	4	4	NUM
fuelectenerg-3144	386	10	]	]	PUNCT
fuelectenerg-3144	386	11	is	be	AUX
fuelectenerg-3144	386	12	a	a	DET
fuelectenerg-3144	386	13	well	well	ADV
fuelectenerg-3144	386	14	-	-	PUNCT
fuelectenerg-3144	386	15	known	know	VERB
fuelectenerg-3144	386	16	quantum	quantum	NOUN
fuelectenerg-3144	386	17	algorithm	algorithm	NOUN
fuelectenerg-3144	386	18	and	and	CCONJ
fuelectenerg-3144	386	19	one	one	NUM
fuelectenerg-3144	386	20	of	of	ADP
fuelectenerg-3144	386	21	the	the	DET
fuelectenerg-3144	386	22	first	first	ADJ
fuelectenerg-3144	386	23	to	to	PART
fuelectenerg-3144	386	24	demonstrate	demonstrate	VERB
fuelectenerg-3144	386	25	how	how	SCONJ
fuelectenerg-3144	386	26	quantum	quantum	ADJ
fuelectenerg-3144	386	27	computers	computer	NOUN
fuelectenerg-3144	386	28	are	be	AUX
fuelectenerg-3144	386	29	in	in	ADP
fuelectenerg-3144	386	30	a	a	DET
fuelectenerg-3144	386	31	sense	sense	NOUN
fuelectenerg-3144	386	32	more	more	ADV
fuelectenerg-3144	386	33	powerful	powerful	ADJ
fuelectenerg-3144	386	34	than	than	ADP
fuelectenerg-3144	386	35	classical	classical	ADJ
fuelectenerg-3144	386	36	computers	computer	NOUN
fuelectenerg-3144	386	37	.	.	PUNCT
fuelectenerg-3144	387	1	specifically	specifically	ADV
fuelectenerg-3144	387	2	,	,	PUNCT
fuelectenerg-3144	387	3	grover	grover	PROPN
fuelectenerg-3144	387	4	’s	’s	PART
fuelectenerg-3144	387	5	algorithm	algorithm	PROPN
fuelectenerg-3144	387	6	solves	solve	VERB
fuelectenerg-3144	387	7	the	the	DET
fuelectenerg-3144	387	8	problem	problem	NOUN
fuelectenerg-3144	387	9	of	of	ADP
fuelectenerg-3144	387	10	satisfying	satisfy	VERB
fuelectenerg-3144	387	11	a	a	DET
fuelectenerg-3144	387	12	boolean	boolean	ADJ
fuelectenerg-3144	387	13	function	function	NOUN
fuelectenerg-3144	387	14	;	;	PUNCT
fuelectenerg-3144	387	15	that	that	PRON
fuelectenerg-3144	387	16	is	is	ADV
fuelectenerg-3144	387	17	,	,	PUNCT
fuelectenerg-3144	387	18	given	give	VERB
fuelectenerg-3144	387	19	a	a	DET
fuelectenerg-3144	387	20	function	function	NOUN
fuelectenerg-3144	387	21	f	f	NOUN
fuelectenerg-3144	387	22	:	:	PUNCT
fuelectenerg-3144	387	23	{	{	PUNCT
fuelectenerg-3144	387	24	0	0	NUM
fuelectenerg-3144	387	25	,	,	PUNCT
fuelectenerg-3144	387	26	1}n	1}n	NUM
fuelectenerg-3144	387	27	→	→	SYM
fuelectenerg-3144	387	28	{	{	PUNCT
fuelectenerg-3144	387	29	0	0	NUM
fuelectenerg-3144	387	30	,	,	PUNCT
fuelectenerg-3144	387	31	1	1	NUM
fuelectenerg-3144	387	32	}	}	PUNCT
fuelectenerg-3144	387	33	,	,	PUNCT
fuelectenerg-3144	387	34	find	find	VERB
fuelectenerg-3144	387	35	x1	x1	PROPN
fuelectenerg-3144	387	36	through	through	ADP
fuelectenerg-3144	387	37	xn	xn	PROPN
fuelectenerg-3144	387	38	such	such	ADJ
fuelectenerg-3144	387	39	that3	that3	NOUN
fuelectenerg-3144	387	40	f(x1	f(x1	NOUN
fuelectenerg-3144	387	41	,	,	PUNCT
fuelectenerg-3144	387	42	.	.	PUNCT
fuelectenerg-3144	387	43	.	.	PUNCT
fuelectenerg-3144	387	44	.	.	PUNCT
fuelectenerg-3144	388	1	,	,	PUNCT
fuelectenerg-3144	388	2	xn	xn	X
fuelectenerg-3144	388	3	)	)	PUNCT
fuelectenerg-3144	388	4	=	=	SYM
fuelectenerg-3144	388	5	1	1	X
fuelectenerg-3144	388	6	.	.	PUNCT
fuelectenerg-3144	389	1	this	this	DET
fuelectenerg-3144	389	2	type	type	NOUN
fuelectenerg-3144	389	3	of	of	ADP
fuelectenerg-3144	389	4	problem	problem	NOUN
fuelectenerg-3144	389	5	is	be	AUX
fuelectenerg-3144	389	6	commonly	commonly	ADV
fuelectenerg-3144	389	7	known	know	VERB
fuelectenerg-3144	389	8	as	as	ADP
fuelectenerg-3144	389	9	a	a	DET
fuelectenerg-3144	389	10	satisfaction	satisfaction	NOUN
fuelectenerg-3144	389	11	or	or	CCONJ
fuelectenerg-3144	389	12	decision	decision	NOUN
fuelectenerg-3144	389	13	problem	problem	NOUN
fuelectenerg-3144	389	14	.	.	PUNCT
fuelectenerg-3144	390	1	classically	classically	ADV
fuelectenerg-3144	390	2	,	,	PUNCT
fuelectenerg-3144	390	3	assuming	assume	VERB
fuelectenerg-3144	390	4	no	no	DET
fuelectenerg-3144	390	5	additional	additional	ADJ
fuelectenerg-3144	390	6	information	information	NOUN
fuelectenerg-3144	390	7	is	be	AUX
fuelectenerg-3144	390	8	known	know	VERB
fuelectenerg-3144	390	9	regarding	regard	VERB
fuelectenerg-3144	390	10	the	the	DET
fuelectenerg-3144	390	11	function	function	NOUN
fuelectenerg-3144	390	12	f	f	PROPN
fuelectenerg-3144	390	13	,	,	PUNCT
fuelectenerg-3144	390	14	one	one	PRON
fuelectenerg-3144	390	15	can	can	AUX
fuelectenerg-3144	390	16	on	on	ADP
fuelectenerg-3144	390	17	average	average	ADJ
fuelectenerg-3144	390	18	solve	solve	NOUN
fuelectenerg-3144	390	19	this	this	DET
fuelectenerg-3144	390	20	problem	problem	NOUN
fuelectenerg-3144	390	21	no	no	ADV
fuelectenerg-3144	390	22	faster	fast	ADV
fuelectenerg-3144	390	23	than	than	ADP
fuelectenerg-3144	390	24	by	by	ADP
fuelectenerg-3144	390	25	exhaustive	exhaustive	ADJ
fuelectenerg-3144	390	26	search	search	NOUN
fuelectenerg-3144	390	27	.	.	PUNCT
fuelectenerg-3144	391	1	such	such	DET
fuelectenerg-3144	391	2	a	a	DET
fuelectenerg-3144	391	3	search	search	NOUN
fuelectenerg-3144	391	4	requires	require	VERB
fuelectenerg-3144	391	5	time	time	NOUN
fuelectenerg-3144	391	6	o(n	o(n	NOUN
fuelectenerg-3144	391	7	)	)	PUNCT
fuelectenerg-3144	391	8	where	where	SCONJ
fuelectenerg-3144	391	9	n	n	NOUN
fuelectenerg-3144	391	10	=	=	SYM
fuelectenerg-3144	391	11	2n	2n	NUM
fuelectenerg-3144	391	12	,	,	PUNCT
fuelectenerg-3144	391	13	the	the	DET
fuelectenerg-3144	391	14	total	total	ADJ
fuelectenerg-3144	391	15	number	number	NOUN
fuelectenerg-3144	391	16	of	of	ADP
fuelectenerg-3144	391	17	possible	possible	ADJ
fuelectenerg-3144	391	18	assignments	assignment	NOUN
fuelectenerg-3144	391	19	of	of	ADP
fuelectenerg-3144	391	20	values	value	NOUN
fuelectenerg-3144	391	21	{	{	PUNCT
fuelectenerg-3144	391	22	0	0	NUM
fuelectenerg-3144	391	23	,	,	PUNCT
fuelectenerg-3144	391	24	1	1	NUM
fuelectenerg-3144	391	25	}	}	PUNCT
fuelectenerg-3144	391	26	to	to	ADP
fuelectenerg-3144	391	27	the	the	DET
fuelectenerg-3144	391	28	variables	variable	NOUN
fuelectenerg-3144	391	29	x1	x1	PROPN
fuelectenerg-3144	391	30	through	through	ADP
fuelectenerg-3144	391	31	xn	xn	PROPN
fuelectenerg-3144	391	32	.	.	PUNCT
fuelectenerg-3144	392	1	if	if	SCONJ
fuelectenerg-3144	392	2	a	a	DET
fuelectenerg-3144	392	3	quantum	quantum	ADJ
fuelectenerg-3144	392	4	computer	computer	NOUN
fuelectenerg-3144	392	5	is	be	AUX
fuelectenerg-3144	392	6	available	available	ADJ
fuelectenerg-3144	392	7	,	,	PUNCT
fuelectenerg-3144	392	8	however	however	ADV
fuelectenerg-3144	392	9	,	,	PUNCT
fuelectenerg-3144	392	10	grover	grover	PROPN
fuelectenerg-3144	392	11	’s	’s	PART
fuelectenerg-3144	392	12	algorithm	algorithm	NOUN
fuelectenerg-3144	392	13	provides	provide	VERB
fuelectenerg-3144	392	14	a	a	DET
fuelectenerg-3144	392	15	method	method	NOUN
fuelectenerg-3144	392	16	to	to	PART
fuelectenerg-3144	392	17	solve	solve	VERB
fuelectenerg-3144	392	18	the	the	DET
fuelectenerg-3144	392	19	same	same	ADJ
fuelectenerg-3144	392	20	problem	problem	NOUN
fuelectenerg-3144	392	21	in	in	ADP
fuelectenerg-3144	392	22	o	o	PROPN
fuelectenerg-3144	392	23	(	(	PUNCT
fuelectenerg-3144	392	24	√	√	NUM
fuelectenerg-3144	392	25	n	n	CCONJ
fuelectenerg-3144	392	26	)	)	PUNCT
fuelectenerg-3144	392	27	time	time	NOUN
fuelectenerg-3144	392	28	,	,	PUNCT
fuelectenerg-3144	392	29	a	a	DET
fuelectenerg-3144	392	30	quadratic	quadratic	ADJ
fuelectenerg-3144	392	31	speedup	speedup	NOUN
fuelectenerg-3144	392	32	.	.	PUNCT
fuelectenerg-3144	393	1	we	we	PRON
fuelectenerg-3144	393	2	first	first	ADV
fuelectenerg-3144	393	3	describe	describe	VERB
fuelectenerg-3144	393	4	grover	grover	PROPN
fuelectenerg-3144	393	5	’s	’s	PART
fuelectenerg-3144	393	6	algorithm	algorithm	NOUN
fuelectenerg-3144	393	7	with	with	ADP
fuelectenerg-3144	393	8	the	the	DET
fuelectenerg-3144	393	9	assumption	assumption	NOUN
fuelectenerg-3144	393	10	that	that	SCONJ
fuelectenerg-3144	393	11	exactly	exactly	ADV
fuelectenerg-3144	393	12	one	one	NUM
fuelectenerg-3144	393	13	solution	solution	NOUN
fuelectenerg-3144	393	14	exists	exist	VERB
fuelectenerg-3144	393	15	;	;	PUNCT
fuelectenerg-3144	393	16	that	that	PRON
fuelectenerg-3144	393	17	is	is	ADV
fuelectenerg-3144	393	18	,	,	PUNCT
fuelectenerg-3144	393	19	there	there	PRON
fuelectenerg-3144	393	20	is	be	VERB
fuelectenerg-3144	393	21	exactly	exactly	ADV
fuelectenerg-3144	393	22	one	one	NUM
fuelectenerg-3144	393	23	assignment	assignment	NOUN
fuelectenerg-3144	393	24	of	of	ADP
fuelectenerg-3144	393	25	the	the	DET
fuelectenerg-3144	393	26	values	value	NOUN
fuelectenerg-3144	393	27	{	{	PUNCT
fuelectenerg-3144	393	28	0	0	NUM
fuelectenerg-3144	393	29	,	,	PUNCT
fuelectenerg-3144	393	30	1	1	NUM
fuelectenerg-3144	393	31	}	}	PUNCT
fuelectenerg-3144	393	32	to	to	ADP
fuelectenerg-3144	393	33	x1	x1	PROPN
fuelectenerg-3144	393	34	through	through	ADP
fuelectenerg-3144	393	35	xn	xn	PROPN
fuelectenerg-3144	393	36	such	such	ADJ
fuelectenerg-3144	393	37	that	that	DET
fuelectenerg-3144	393	38	f(x1	f(x1	NOUN
fuelectenerg-3144	393	39	,	,	PUNCT
fuelectenerg-3144	393	40	.	.	PUNCT
fuelectenerg-3144	393	41	.	.	PUNCT
fuelectenerg-3144	394	1	.	.	PUNCT
fuelectenerg-3144	395	1	,	,	PUNCT
fuelectenerg-3144	395	2	xn	xn	X
fuelectenerg-3144	395	3	)	)	PUNCT
fuelectenerg-3144	395	4	=	=	SYM
fuelectenerg-3144	395	5	1	1	X
fuelectenerg-3144	395	6	.	.	PUNCT
fuelectenerg-3144	396	1	this	this	PRON
fuelectenerg-3144	396	2	is	be	AUX
fuelectenerg-3144	396	3	the	the	DET
fuelectenerg-3144	396	4	original	original	ADJ
fuelectenerg-3144	396	5	scenario	scenario	NOUN
fuelectenerg-3144	396	6	considered	consider	VERB
fuelectenerg-3144	396	7	by	by	ADP
fuelectenerg-3144	396	8	grover	grover	PROPN
fuelectenerg-3144	396	9	.	.	PUNCT
fuelectenerg-3144	397	1	later	later	ADV
fuelectenerg-3144	397	2	,	,	PUNCT
fuelectenerg-3144	397	3	we	we	PRON
fuelectenerg-3144	397	4	will	will	AUX
fuelectenerg-3144	397	5	relax	relax	VERB
fuelectenerg-3144	397	6	this	this	DET
fuelectenerg-3144	397	7	assumption	assumption	NOUN
fuelectenerg-3144	397	8	and	and	CCONJ
fuelectenerg-3144	397	9	describe	describe	VERB
fuelectenerg-3144	397	10	how	how	SCONJ
fuelectenerg-3144	397	11	the	the	DET
fuelectenerg-3144	397	12	algorithm	algorithm	NOUN
fuelectenerg-3144	397	13	can	can	AUX
fuelectenerg-3144	397	14	be	be	AUX
fuelectenerg-3144	397	15	extended	extend	VERB
fuelectenerg-3144	397	16	to	to	ADP
fuelectenerg-3144	397	17	cases	case	NOUN
fuelectenerg-3144	397	18	where	where	SCONJ
fuelectenerg-3144	397	19	there	there	PRON
fuelectenerg-3144	397	20	is	be	VERB
fuelectenerg-3144	397	21	more	more	ADJ
fuelectenerg-3144	397	22	than	than	ADP
fuelectenerg-3144	397	23	one	one	NUM
fuelectenerg-3144	397	24	solution	solution	NOUN
fuelectenerg-3144	397	25	,	,	PUNCT
fuelectenerg-3144	397	26	or	or	CCONJ
fuelectenerg-3144	397	27	no	no	DET
fuelectenerg-3144	397	28	solution	solution	NOUN
fuelectenerg-3144	397	29	at	at	ADV
fuelectenerg-3144	397	30	all	all	ADV
fuelectenerg-3144	397	31	.	.	PUNCT
fuelectenerg-3144	398	1	figure	figure	VERB
fuelectenerg-3144	398	2	3	3	NUM
fuelectenerg-3144	398	3	shows	show	VERB
fuelectenerg-3144	398	4	a	a	DET
fuelectenerg-3144	398	5	high	high	ADJ
fuelectenerg-3144	398	6	-	-	PUNCT
fuelectenerg-3144	398	7	level	level	NOUN
fuelectenerg-3144	398	8	schematic	schematic	ADJ
fuelectenerg-3144	398	9	of	of	ADP
fuelectenerg-3144	398	10	a	a	DET
fuelectenerg-3144	398	11	quantum	quantum	NOUN
fuelectenerg-3144	398	12	circuit	circuit	NOUN
fuelectenerg-3144	398	13	implementing	implement	VERB
fuelectenerg-3144	398	14	grover	grover	NOUN
fuelectenerg-3144	398	15	’s	’s	PART
fuelectenerg-3144	398	16	algorithm	algorithm	NOUN
fuelectenerg-3144	398	17	.	.	PUNCT
fuelectenerg-3144	399	1	we	we	PRON
fuelectenerg-3144	399	2	see	see	VERB
fuelectenerg-3144	399	3	that	that	SCONJ
fuelectenerg-3144	399	4	the	the	DET
fuelectenerg-3144	399	5	algorithm	algorithm	NOUN
fuelectenerg-3144	399	6	consists	consist	VERB
fuelectenerg-3144	399	7	of	of	ADP
fuelectenerg-3144	399	8	an	an	DET
fuelectenerg-3144	399	9	initialization	initialization	NOUN
fuelectenerg-3144	399	10	step	step	NOUN
fuelectenerg-3144	399	11	involving	involve	VERB
fuelectenerg-3144	399	12	hadamard	hadamard	ADJ
fuelectenerg-3144	399	13	gates	gate	NOUN
fuelectenerg-3144	399	14	,	,	PUNCT
fuelectenerg-3144	399	15	followed	follow	VERB
fuelectenerg-3144	399	16	by	by	ADP
fuelectenerg-3144	399	17	repeated	repeat	VERB
fuelectenerg-3144	399	18	applications	application	NOUN
fuelectenerg-3144	399	19	of	of	ADP
fuelectenerg-3144	399	20	an	an	DET
fuelectenerg-3144	399	21	operation	operation	NOUN
fuelectenerg-3144	399	22	g	g	NOUN
fuelectenerg-3144	399	23	(	(	PUNCT
fuelectenerg-3144	399	24	the	the	DET
fuelectenerg-3144	399	25	grover	grover	NOUN
fuelectenerg-3144	399	26	iterate	iterate	NOUN
fuelectenerg-3144	399	27	)	)	PUNCT
fuelectenerg-3144	399	28	,	,	PUNCT
fuelectenerg-3144	399	29	and	and	CCONJ
fuelectenerg-3144	399	30	then	then	ADV
fuelectenerg-3144	399	31	a	a	DET
fuelectenerg-3144	399	32	measurement	measurement	NOUN
fuelectenerg-3144	399	33	at	at	ADP
fuelectenerg-3144	399	34	the	the	DET
fuelectenerg-3144	399	35	end	end	NOUN
fuelectenerg-3144	399	36	.	.	PUNCT
fuelectenerg-3144	400	1	first	first	ADV
fuelectenerg-3144	400	2	,	,	PUNCT
fuelectenerg-3144	400	3	we	we	PRON
fuelectenerg-3144	400	4	examine	examine	VERB
fuelectenerg-3144	400	5	the	the	DET
fuelectenerg-3144	400	6	grover	grover	NOUN
fuelectenerg-3144	400	7	iterate	iterate	NOUN
fuelectenerg-3144	400	8	,	,	PUNCT
fuelectenerg-3144	400	9	which	which	PRON
fuelectenerg-3144	400	10	is	be	AUX
fuelectenerg-3144	400	11	the	the	DET
fuelectenerg-3144	400	12	most	most	ADV
fuelectenerg-3144	400	13	important	important	ADJ
fuelectenerg-3144	400	14	step	step	NOUN
fuelectenerg-3144	400	15	.	.	PUNCT
fuelectenerg-3144	401	1	the	the	DET
fuelectenerg-3144	401	2	grover	grover	PROPN
fuelectenerg-3144	401	3	iterate	iterate	NOUN
fuelectenerg-3144	401	4	accomplishes	accomplish	VERB
fuelectenerg-3144	401	5	the	the	DET
fuelectenerg-3144	401	6	task	task	NOUN
fuelectenerg-3144	401	7	of	of	ADP
fuelectenerg-3144	401	8	amplitude	amplitude	NOUN
fuelectenerg-3144	401	9	amplification	amplification	NOUN
fuelectenerg-3144	401	10	,	,	PUNCT
fuelectenerg-3144	401	11	the	the	DET
fuelectenerg-3144	401	12	central	central	ADJ
fuelectenerg-3144	401	13	concept	concept	NOUN
fuelectenerg-3144	401	14	underlying	underlie	VERB
fuelectenerg-3144	401	15	grover	grover	NOUN
fuelectenerg-3144	401	16	’s	’s	PART
fuelectenerg-3144	401	17	algorithm	algorithm	NOUN
fuelectenerg-3144	401	18	.	.	PUNCT
fuelectenerg-3144	402	1	amplitude	amplitude	NOUN
fuelectenerg-3144	402	2	amplification	amplification	NOUN
fuelectenerg-3144	402	3	is	be	AUX
fuelectenerg-3144	402	4	the	the	DET
fuelectenerg-3144	402	5	process	process	NOUN
fuelectenerg-3144	402	6	of	of	ADP
fuelectenerg-3144	402	7	selectively	selectively	ADV
fuelectenerg-3144	402	8	increasing	increase	VERB
fuelectenerg-3144	402	9	the	the	DET
fuelectenerg-3144	402	10	amplitude	amplitude	NOUN
fuelectenerg-3144	402	11	of	of	ADP
fuelectenerg-3144	402	12	a	a	DET
fuelectenerg-3144	402	13	certain	certain	ADJ
fuelectenerg-3144	402	14	component	component	NOUN
fuelectenerg-3144	402	15	state	state	NOUN
fuelectenerg-3144	402	16	of	of	ADP
fuelectenerg-3144	402	17	a	a	DET
fuelectenerg-3144	402	18	superposition	superposition	NOUN
fuelectenerg-3144	402	19	,	,	PUNCT
fuelectenerg-3144	402	20	while	while	SCONJ
fuelectenerg-3144	402	21	decreasing	decrease	VERB
fuelectenerg-3144	402	22	the	the	DET
fuelectenerg-3144	402	23	amplitudes	amplitude	NOUN
fuelectenerg-3144	402	24	of	of	ADP
fuelectenerg-3144	402	25	all	all	DET
fuelectenerg-3144	402	26	other	other	ADJ
fuelectenerg-3144	402	27	3the	3the	ADJ
fuelectenerg-3144	402	28	variables	variable	NOUN
fuelectenerg-3144	402	29	x1	x1	PROPN
fuelectenerg-3144	402	30	through	through	ADP
fuelectenerg-3144	402	31	xn	xn	PROPN
fuelectenerg-3144	402	32	in	in	ADP
fuelectenerg-3144	402	33	this	this	DET
fuelectenerg-3144	402	34	case	case	NOUN
fuelectenerg-3144	402	35	are	be	AUX
fuelectenerg-3144	402	36	simply	simply	ADV
fuelectenerg-3144	402	37	inputs	input	NOUN
fuelectenerg-3144	402	38	to	to	ADP
fuelectenerg-3144	402	39	the	the	DET
fuelectenerg-3144	402	40	function	function	NOUN
fuelectenerg-3144	402	41	f	f	PROPN
fuelectenerg-3144	402	42	and	and	CCONJ
fuelectenerg-3144	402	43	are	be	AUX
fuelectenerg-3144	402	44	unrelated	unrelated	ADJ
fuelectenerg-3144	402	45	to	to	ADP
fuelectenerg-3144	402	46	the	the	DET
fuelectenerg-3144	402	47	input	input	NOUN
fuelectenerg-3144	402	48	variables	variable	NOUN
fuelectenerg-3144	402	49	of	of	ADP
fuelectenerg-3144	402	50	an	an	DET
fuelectenerg-3144	402	51	fsm	fsm	PROPN
fuelectenerg-3144	402	52	.	.	PROPN
fuelectenerg-3144	403	1	10	10	NUM
fuelectenerg-3144	403	2	o	o	NOUN
fuelectenerg-3144	403	3	h	h	NOUN
fuelectenerg-3144	403	4	h	h	NOUN
fuelectenerg-3144	403	5	h	h	NOUN
fuelectenerg-3144	403	6	h	h	NOUN
fuelectenerg-3144	404	1	h	h	NOUN
fuelectenerg-3144	404	2	h	h	NOUN
fuelectenerg-3144	404	3	h	h	NOUN
fuelectenerg-3144	405	1	h	h	NOUN
fuelectenerg-3144	405	2	z	z	NOUN
fuelectenerg-3144	405	3	figure	figure	VERB
fuelectenerg-3144	405	4	4	4	NUM
fuelectenerg-3144	405	5	:	:	PUNCT
fuelectenerg-3144	405	6	structure	structure	NOUN
fuelectenerg-3144	405	7	of	of	ADP
fuelectenerg-3144	405	8	the	the	DET
fuelectenerg-3144	405	9	grover	grover	NOUN
fuelectenerg-3144	405	10	iterate	iterate	VERB
fuelectenerg-3144	405	11	g	g	NOUN
fuelectenerg-3144	405	12	from	from	ADP
fuelectenerg-3144	405	13	figure	figure	NOUN
fuelectenerg-3144	405	14	3	3	NUM
fuelectenerg-3144	405	15	with	with	ADP
fuelectenerg-3144	405	16	quantum	quantum	ADJ
fuelectenerg-3144	405	17	oracle	oracle	NOUN
fuelectenerg-3144	405	18	o	o	NOUN
fuelectenerg-3144	405	19	and	and	CCONJ
fuelectenerg-3144	405	20	zero	zero	NUM
fuelectenerg-3144	405	21	-	-	PUNCT
fuelectenerg-3144	405	22	state	state	NOUN
fuelectenerg-3144	405	23	phase	phase	NOUN
fuelectenerg-3144	405	24	shift	shift	NOUN
fuelectenerg-3144	405	25	z.	z.	PROPN
fuelectenerg-3144	405	26	component	component	NOUN
fuelectenerg-3144	405	27	states	state	NOUN
fuelectenerg-3144	405	28	.	.	PUNCT
fuelectenerg-3144	406	1	in	in	ADP
fuelectenerg-3144	406	2	grover	grover	PROPN
fuelectenerg-3144	406	3	’s	’s	PART
fuelectenerg-3144	406	4	algorithm	algorithm	NOUN
fuelectenerg-3144	406	5	,	,	PUNCT
fuelectenerg-3144	406	6	the	the	DET
fuelectenerg-3144	406	7	component	component	NOUN
fuelectenerg-3144	406	8	state	state	NOUN
fuelectenerg-3144	406	9	whose	whose	DET
fuelectenerg-3144	406	10	amplitude	amplitude	NOUN
fuelectenerg-3144	406	11	is	be	AUX
fuelectenerg-3144	406	12	increased	increase	VERB
fuelectenerg-3144	406	13	corresponds	correspond	NOUN
fuelectenerg-3144	406	14	to	to	ADP
fuelectenerg-3144	406	15	the	the	DET
fuelectenerg-3144	406	16	variable	variable	ADJ
fuelectenerg-3144	406	17	assignment	assignment	NOUN
fuelectenerg-3144	406	18	satisfying	satisfy	VERB
fuelectenerg-3144	406	19	the	the	DET
fuelectenerg-3144	406	20	function	function	NOUN
fuelectenerg-3144	406	21	f	f	PROPN
fuelectenerg-3144	406	22	.	.	PUNCT
fuelectenerg-3144	407	1	by	by	ADP
fuelectenerg-3144	407	2	applying	apply	VERB
fuelectenerg-3144	407	3	the	the	DET
fuelectenerg-3144	407	4	grover	grover	NOUN
fuelectenerg-3144	407	5	iterate	iterate	NOUN
fuelectenerg-3144	407	6	enough	enough	ADJ
fuelectenerg-3144	407	7	times	time	NOUN
fuelectenerg-3144	407	8	to	to	ADP
fuelectenerg-3144	407	9	a	a	DET
fuelectenerg-3144	407	10	superposition	superposition	NOUN
fuelectenerg-3144	407	11	,	,	PUNCT
fuelectenerg-3144	407	12	one	one	PRON
fuelectenerg-3144	407	13	obtains	obtain	VERB
fuelectenerg-3144	407	14	a	a	DET
fuelectenerg-3144	407	15	quantum	quantum	ADJ
fuelectenerg-3144	407	16	state	state	NOUN
fuelectenerg-3144	407	17	where	where	SCONJ
fuelectenerg-3144	407	18	the	the	DET
fuelectenerg-3144	407	19	component	component	NOUN
fuelectenerg-3144	407	20	corresponding	correspond	VERB
fuelectenerg-3144	407	21	to	to	ADP
fuelectenerg-3144	407	22	the	the	DET
fuelectenerg-3144	407	23	satisfactory	satisfactory	ADJ
fuelectenerg-3144	407	24	variable	variable	ADJ
fuelectenerg-3144	407	25	assignment	assignment	NOUN
fuelectenerg-3144	407	26	has	have	VERB
fuelectenerg-3144	407	27	an	an	DET
fuelectenerg-3144	407	28	amplitude	amplitude	NOUN
fuelectenerg-3144	407	29	near	near	ADP
fuelectenerg-3144	407	30	1	1	NUM
fuelectenerg-3144	407	31	;	;	PUNCT
fuelectenerg-3144	407	32	all	all	DET
fuelectenerg-3144	407	33	other	other	ADJ
fuelectenerg-3144	407	34	components	component	NOUN
fuelectenerg-3144	407	35	have	have	VERB
fuelectenerg-3144	407	36	zero	zero	NUM
fuelectenerg-3144	407	37	or	or	CCONJ
fuelectenerg-3144	407	38	negligibly	negligibly	ADV
fuelectenerg-3144	407	39	small	small	ADJ
fuelectenerg-3144	407	40	amplitudes	amplitude	NOUN
fuelectenerg-3144	407	41	.	.	PUNCT
fuelectenerg-3144	408	1	a	a	DET
fuelectenerg-3144	408	2	measurement	measurement	NOUN
fuelectenerg-3144	408	3	then	then	ADV
fuelectenerg-3144	408	4	gives	give	VERB
fuelectenerg-3144	408	5	(	(	PUNCT
fuelectenerg-3144	408	6	with	with	ADP
fuelectenerg-3144	408	7	probability	probability	NOUN
fuelectenerg-3144	408	8	near	near	ADP
fuelectenerg-3144	408	9	1	1	NUM
fuelectenerg-3144	408	10	)	)	PUNCT
fuelectenerg-3144	408	11	a	a	DET
fuelectenerg-3144	408	12	variable	variable	ADJ
fuelectenerg-3144	408	13	assignment	assignment	NOUN
fuelectenerg-3144	408	14	satisfying	satisfy	VERB
fuelectenerg-3144	408	15	f	f	PROPN
fuelectenerg-3144	408	16	.	.	PUNCT
fuelectenerg-3144	409	1	figure	figure	VERB
fuelectenerg-3144	409	2	4	4	NUM
fuelectenerg-3144	409	3	depicts	depict	VERB
fuelectenerg-3144	409	4	a	a	DET
fuelectenerg-3144	409	5	schematic	schematic	ADJ
fuelectenerg-3144	409	6	of	of	ADP
fuelectenerg-3144	409	7	the	the	DET
fuelectenerg-3144	409	8	grover	grover	NOUN
fuelectenerg-3144	409	9	iterate	iterate	NOUN
fuelectenerg-3144	409	10	,	,	PUNCT
fuelectenerg-3144	409	11	showing	show	VERB
fuelectenerg-3144	409	12	that	that	SCONJ
fuelectenerg-3144	409	13	it	it	PRON
fuelectenerg-3144	409	14	consists	consist	VERB
fuelectenerg-3144	409	15	of	of	ADP
fuelectenerg-3144	409	16	a	a	DET
fuelectenerg-3144	409	17	quantum	quantum	ADJ
fuelectenerg-3144	409	18	oracle	oracle	NOUN
fuelectenerg-3144	409	19	o	o	NOUN
fuelectenerg-3144	409	20	,	,	PUNCT
fuelectenerg-3144	409	21	followed	follow	VERB
fuelectenerg-3144	409	22	by	by	ADP
fuelectenerg-3144	409	23	the	the	DET
fuelectenerg-3144	409	24	zero	zero	NUM
fuelectenerg-3144	409	25	-	-	PUNCT
fuelectenerg-3144	409	26	state	state	NOUN
fuelectenerg-3144	409	27	phase	phase	NOUN
fuelectenerg-3144	409	28	shift	shift	NOUN
fuelectenerg-3144	409	29	z	z	NOUN
fuelectenerg-3144	409	30	surrounded	surround	VERB
fuelectenerg-3144	409	31	by	by	ADP
fuelectenerg-3144	409	32	arrays	array	NOUN
fuelectenerg-3144	409	33	of	of	ADP
fuelectenerg-3144	409	34	hadamard	hadamard	ADJ
fuelectenerg-3144	409	35	gates	gate	NOUN
fuelectenerg-3144	409	36	.	.	PUNCT
fuelectenerg-3144	410	1	the	the	DET
fuelectenerg-3144	410	2	quantum	quantum	PROPN
fuelectenerg-3144	410	3	oracle	oracle	NOUN
fuelectenerg-3144	410	4	is	be	AUX
fuelectenerg-3144	410	5	a	a	DET
fuelectenerg-3144	410	6	quantum	quantum	ADJ
fuelectenerg-3144	410	7	circuit	circuit	NOUN
fuelectenerg-3144	410	8	implementation	implementation	NOUN
fuelectenerg-3144	410	9	of	of	ADP
fuelectenerg-3144	410	10	the	the	DET
fuelectenerg-3144	410	11	function	function	NOUN
fuelectenerg-3144	410	12	f	f	X
fuelectenerg-3144	410	13	to	to	PART
fuelectenerg-3144	410	14	be	be	AUX
fuelectenerg-3144	410	15	satisfied	satisfied	ADJ
fuelectenerg-3144	410	16	.	.	PUNCT
fuelectenerg-3144	411	1	more	more	ADV
fuelectenerg-3144	411	2	specifically	specifically	ADV
fuelectenerg-3144	411	3	,	,	PUNCT
fuelectenerg-3144	411	4	the	the	DET
fuelectenerg-3144	411	5	oracle	oracle	NOUN
fuelectenerg-3144	411	6	acts	act	VERB
fuelectenerg-3144	411	7	as	as	ADP
fuelectenerg-3144	411	8	a	a	DET
fuelectenerg-3144	411	9	“	"	PUNCT
fuelectenerg-3144	411	10	controlled	control	VERB
fuelectenerg-3144	411	11	inverter	inverter	NOUN
fuelectenerg-3144	411	12	”	"	PUNCT
fuelectenerg-3144	411	13	controlled	control	VERB
fuelectenerg-3144	411	14	by	by	ADP
fuelectenerg-3144	411	15	f	f	PROPN
fuelectenerg-3144	411	16	.	.	PUNCT
fuelectenerg-3144	412	1	that	that	PRON
fuelectenerg-3144	412	2	is	is	ADV
fuelectenerg-3144	412	3	,	,	PUNCT
fuelectenerg-3144	412	4	the	the	DET
fuelectenerg-3144	412	5	quantum	quantum	ADJ
fuelectenerg-3144	412	6	oracle	oracle	NOUN
fuelectenerg-3144	412	7	acts	act	VERB
fuelectenerg-3144	412	8	on	on	ADP
fuelectenerg-3144	412	9	qubits	qubit	NOUN
fuelectenerg-3144	412	10	x1	x1	ADJ
fuelectenerg-3144	412	11	through	through	ADP
fuelectenerg-3144	412	12	xn	xn	PROPN
fuelectenerg-3144	412	13	together	together	ADV
fuelectenerg-3144	412	14	with	with	ADP
fuelectenerg-3144	412	15	an	an	DET
fuelectenerg-3144	412	16	additional	additional	ADJ
fuelectenerg-3144	412	17	output	output	NOUN
fuelectenerg-3144	412	18	qubit	qubit	NOUN
fuelectenerg-3144	412	19	,	,	PUNCT
fuelectenerg-3144	412	20	and	and	CCONJ
fuelectenerg-3144	412	21	,	,	PUNCT
fuelectenerg-3144	412	22	for	for	ADP
fuelectenerg-3144	412	23	each	each	DET
fuelectenerg-3144	412	24	possible	possible	ADJ
fuelectenerg-3144	412	25	basis	basis	NOUN
fuelectenerg-3144	412	26	state	state	NOUN
fuelectenerg-3144	412	27	of	of	ADP
fuelectenerg-3144	412	28	x1	x1	PROPN
fuelectenerg-3144	412	29	through	through	ADP
fuelectenerg-3144	412	30	xn	xn	PROPN
fuelectenerg-3144	412	31	,	,	PUNCT
fuelectenerg-3144	412	32	the	the	DET
fuelectenerg-3144	412	33	oracle	oracle	NOUN
fuelectenerg-3144	412	34	inverts	invert	VERB
fuelectenerg-3144	412	35	the	the	DET
fuelectenerg-3144	412	36	output	output	NOUN
fuelectenerg-3144	412	37	qubit	qubit	NOUN
fuelectenerg-3144	412	38	if	if	SCONJ
fuelectenerg-3144	412	39	and	and	CCONJ
fuelectenerg-3144	412	40	only	only	ADV
fuelectenerg-3144	412	41	if	if	SCONJ
fuelectenerg-3144	412	42	f(x1	f(x1	ADJ
fuelectenerg-3144	412	43	,	,	PUNCT
fuelectenerg-3144	412	44	.	.	PUNCT
fuelectenerg-3144	412	45	.	.	PUNCT
fuelectenerg-3144	413	1	.	.	PUNCT
fuelectenerg-3144	414	1	,	,	PUNCT
fuelectenerg-3144	414	2	xn	xn	X
fuelectenerg-3144	414	3	)	)	PUNCT
fuelectenerg-3144	414	4	=	=	SYM
fuelectenerg-3144	414	5	1	1	X
fuelectenerg-3144	414	6	.	.	X
fuelectenerg-3144	414	7	figure	figure	VERB
fuelectenerg-3144	414	8	5	5	NUM
fuelectenerg-3144	414	9	depicts	depict	VERB
fuelectenerg-3144	414	10	an	an	DET
fuelectenerg-3144	414	11	alternative	alternative	ADJ
fuelectenerg-3144	414	12	schematic	schematic	ADJ
fuelectenerg-3144	414	13	symbol	symbol	NOUN
fuelectenerg-3144	414	14	for	for	ADP
fuelectenerg-3144	414	15	the	the	DET
fuelectenerg-3144	414	16	oracle	oracle	NOUN
fuelectenerg-3144	414	17	that	that	PRON
fuelectenerg-3144	414	18	graphically	graphically	ADV
fuelectenerg-3144	414	19	suggests	suggest	VERB
fuelectenerg-3144	414	20	this	this	DET
fuelectenerg-3144	414	21	“	"	PUNCT
fuelectenerg-3144	414	22	controlled	control	VERB
fuelectenerg-3144	414	23	”	"	PUNCT
fuelectenerg-3144	414	24	nature	nature	NOUN
fuelectenerg-3144	414	25	.	.	PUNCT
fuelectenerg-3144	415	1	the	the	DET
fuelectenerg-3144	415	2	quantum	quantum	PROPN
fuelectenerg-3144	415	3	oracle	oracle	NOUN
fuelectenerg-3144	415	4	essentially	essentially	ADV
fuelectenerg-3144	415	5	defines	define	VERB
fuelectenerg-3144	415	6	the	the	DET
fuelectenerg-3144	415	7	search	search	NOUN
fuelectenerg-3144	415	8	criteria	criterion	NOUN
fuelectenerg-3144	415	9	for	for	ADP
fuelectenerg-3144	415	10	grover	grover	NOUN
fuelectenerg-3144	415	11	’s	’s	PART
fuelectenerg-3144	415	12	algorithm	algorithm	NOUN
fuelectenerg-3144	415	13	and	and	CCONJ
fuelectenerg-3144	415	14	is	be	AUX
fuelectenerg-3144	415	15	the	the	DET
fuelectenerg-3144	415	16	only	only	ADJ
fuelectenerg-3144	415	17	part	part	NOUN
fuelectenerg-3144	415	18	of	of	ADP
fuelectenerg-3144	415	19	grover	grover	NOUN
fuelectenerg-3144	415	20	’s	’s	PART
fuelectenerg-3144	415	21	algorithm	algorithm	NOUN
fuelectenerg-3144	415	22	whose	whose	DET
fuelectenerg-3144	415	23	precise	precise	ADJ
fuelectenerg-3144	415	24	details	detail	NOUN
fuelectenerg-3144	415	25	depend	depend	VERB
fuelectenerg-3144	415	26	on	on	ADP
fuelectenerg-3144	415	27	the	the	DET
fuelectenerg-3144	415	28	nature	nature	NOUN
fuelectenerg-3144	415	29	of	of	ADP
fuelectenerg-3144	415	30	the	the	DET
fuelectenerg-3144	415	31	function	function	NOUN
fuelectenerg-3144	415	32	f	f	PROPN
fuelectenerg-3144	415	33	.	.	PUNCT
fuelectenerg-3144	416	1	therefore	therefore	ADV
fuelectenerg-3144	416	2	,	,	PUNCT
fuelectenerg-3144	416	3	a	a	DET
fuelectenerg-3144	416	4	quantum	quantum	NOUN
fuelectenerg-3144	416	5	computer	computer	NOUN
fuelectenerg-3144	416	6	can	can	AUX
fuelectenerg-3144	416	7	not	not	PART
fuelectenerg-3144	416	8	execute	execute	VERB
fuelectenerg-3144	416	9	grover	grover	NOUN
fuelectenerg-3144	416	10	’s	’s	PART
fuelectenerg-3144	416	11	algorithm	algorithm	NOUN
fuelectenerg-3144	416	12	for	for	ADP
fuelectenerg-3144	416	13	a	a	DET
fuelectenerg-3144	416	14	given	give	VERB
fuelectenerg-3144	416	15	function	function	NOUN
fuelectenerg-3144	416	16	f	f	PROPN
fuelectenerg-3144	416	17	unless	unless	SCONJ
fuelectenerg-3144	416	18	a	a	DET
fuelectenerg-3144	416	19	quantum	quantum	NOUN
fuelectenerg-3144	416	20	oracle	oracle	NOUN
fuelectenerg-3144	416	21	for	for	ADP
fuelectenerg-3144	416	22	f	f	PROPN
fuelectenerg-3144	416	23	is	be	AUX
fuelectenerg-3144	416	24	available	available	ADJ
fuelectenerg-3144	416	25	.	.	PUNCT
fuelectenerg-3144	417	1	for	for	ADP
fuelectenerg-3144	417	2	some	some	PRON
fuelectenerg-3144	417	3	—	—	PUNCT
fuelectenerg-3144	417	4	if	if	SCONJ
fuelectenerg-3144	417	5	not	not	PART
fuelectenerg-3144	417	6	the	the	DET
fuelectenerg-3144	417	7	majority	majority	NOUN
fuelectenerg-3144	417	8	of	of	ADP
fuelectenerg-3144	417	9	—	—	PUNCT
fuelectenerg-3144	417	10	satisfaction	satisfaction	NOUN
fuelectenerg-3144	417	11	problems	problem	NOUN
fuelectenerg-3144	417	12	arising	arise	VERB
fuelectenerg-3144	417	13	from	from	ADP
fuelectenerg-3144	417	14	practical	practical	ADJ
fuelectenerg-3144	417	15	scenarios	scenario	NOUN
fuelectenerg-3144	417	16	,	,	PUNCT
fuelectenerg-3144	417	17	the	the	DET
fuelectenerg-3144	417	18	function	function	NOUN
fuelectenerg-3144	417	19	f	f	PROPN
fuelectenerg-3144	417	20	is	be	AUX
fuelectenerg-3144	417	21	not	not	PART
fuelectenerg-3144	417	22	given	give	VERB
fuelectenerg-3144	417	23	explicitly	explicitly	ADV
fuelectenerg-3144	417	24	as	as	ADP
fuelectenerg-3144	417	25	a	a	DET
fuelectenerg-3144	417	26	formula	formula	NOUN
fuelectenerg-3144	417	27	,	,	PUNCT
fuelectenerg-3144	417	28	but	but	CCONJ
fuelectenerg-3144	417	29	is	be	AUX
fuelectenerg-3144	417	30	instead	instead	ADV
fuelectenerg-3144	417	31	only	only	ADV
fuelectenerg-3144	417	32	defined	define	VERB
fuelectenerg-3144	417	33	indirectly	indirectly	ADV
fuelectenerg-3144	417	34	through	through	ADP
fuelectenerg-3144	417	35	a	a	DET
fuelectenerg-3144	417	36	set	set	NOUN
fuelectenerg-3144	417	37	of	of	ADP
fuelectenerg-3144	417	38	conditions	condition	NOUN
fuelectenerg-3144	417	39	or	or	CCONJ
fuelectenerg-3144	417	40	constraints	constraint	NOUN
fuelectenerg-3144	417	41	.	.	PUNCT
fuelectenerg-3144	418	1	in	in	ADP
fuelectenerg-3144	418	2	such	such	DET
fuelectenerg-3144	418	3	a	a	DET
fuelectenerg-3144	418	4	case	case	NOUN
fuelectenerg-3144	418	5	,	,	PUNCT
fuelectenerg-3144	418	6	designing	design	VERB
fuelectenerg-3144	418	7	a	a	DET
fuelectenerg-3144	418	8	quantum	quantum	ADJ
fuelectenerg-3144	418	9	oracle	oracle	NOUN
fuelectenerg-3144	418	10	is	be	AUX
fuelectenerg-3144	418	11	far	far	ADV
fuelectenerg-3144	418	12	from	from	ADP
fuelectenerg-3144	418	13	trivial	trivial	ADJ
fuelectenerg-3144	418	14	.	.	PUNCT
fuelectenerg-3144	419	1	in	in	ADP
fuelectenerg-3144	419	2	the	the	DET
fuelectenerg-3144	419	3	subsequent	subsequent	ADJ
fuelectenerg-3144	419	4	sections	section	NOUN
fuelectenerg-3144	419	5	of	of	ADP
fuelectenerg-3144	419	6	this	this	DET
fuelectenerg-3144	419	7	paper	paper	NOUN
fuelectenerg-3144	419	8	,	,	PUNCT
fuelectenerg-3144	419	9	we	we	PRON
fuelectenerg-3144	419	10	will	will	AUX
fuelectenerg-3144	419	11	concentrate	concentrate	VERB
fuelectenerg-3144	419	12	on	on	ADP
fuelectenerg-3144	419	13	how	how	SCONJ
fuelectenerg-3144	419	14	to	to	PART
fuelectenerg-3144	419	15	design	design	VERB
fuelectenerg-3144	419	16	a	a	DET
fuelectenerg-3144	419	17	quantum	quantum	ADJ
fuelectenerg-3144	419	18	oracle	oracle	NOUN
fuelectenerg-3144	419	19	that	that	PRON
fuelectenerg-3144	419	20	can	can	AUX
fuelectenerg-3144	419	21	,	,	PUNCT
fuelectenerg-3144	419	22	when	when	SCONJ
fuelectenerg-3144	419	23	used	use	VERB
fuelectenerg-3144	419	24	in	in	ADP
fuelectenerg-3144	419	25	grover	grover	PROPN
fuelectenerg-3144	419	26	’s	’s	PART
fuelectenerg-3144	419	27	algorithm	algorithm	NOUN
fuelectenerg-3144	419	28	,	,	PUNCT
fuelectenerg-3144	419	29	help	help	AUX
fuelectenerg-3144	419	30	find	find	VERB
fuelectenerg-3144	419	31	the	the	DET
fuelectenerg-3144	419	32	optimal	optimal	ADJ
fuelectenerg-3144	419	33	state	state	NOUN
fuelectenerg-3144	419	34	encoding	encoding	NOUN
fuelectenerg-3144	419	35	for	for	ADP
fuelectenerg-3144	419	36	an	an	DET
fuelectenerg-3144	419	37	fsm	fsm	PROPN
fuelectenerg-3144	419	38	.	.	PUNCT
fuelectenerg-3144	420	1	for	for	ADP
fuelectenerg-3144	420	2	now	now	ADV
fuelectenerg-3144	420	3	,	,	PUNCT
fuelectenerg-3144	420	4	we	we	PRON
fuelectenerg-3144	420	5	examine	examine	VERB
fuelectenerg-3144	420	6	the	the	DET
fuelectenerg-3144	420	7	quantum	quantum	PROPN
fuelectenerg-3144	420	8	oracle	oracle	NOUN
fuelectenerg-3144	420	9	’s	’s	PART
fuelectenerg-3144	420	10	role	role	NOUN
fuelectenerg-3144	420	11	in	in	ADP
fuelectenerg-3144	420	12	grover	grover	PROPN
fuelectenerg-3144	420	13	’s	’s	PART
fuelectenerg-3144	420	14	algorithm	algorithm	NOUN
fuelectenerg-3144	420	15	without	without	ADP
fuelectenerg-3144	420	16	concern	concern	NOUN
fuelectenerg-3144	420	17	for	for	ADP
fuelectenerg-3144	420	18	the	the	DET
fuelectenerg-3144	420	19	details	detail	NOUN
fuelectenerg-3144	420	20	of	of	ADP
fuelectenerg-3144	420	21	its	its	PRON
fuelectenerg-3144	420	22	implementation	implementation	NOUN
fuelectenerg-3144	420	23	.	.	PUNCT
fuelectenerg-3144	421	1	in	in	ADP
fuelectenerg-3144	421	2	grover	grover	PROPN
fuelectenerg-3144	421	3	’s	’s	PART
fuelectenerg-3144	421	4	algorithm	algorithm	NOUN
fuelectenerg-3144	421	5	,	,	PUNCT
fuelectenerg-3144	421	6	the	the	DET
fuelectenerg-3144	421	7	quantum	quantum	ADJ
fuelectenerg-3144	421	8	oracle	oracle	NOUN
fuelectenerg-3144	421	9	performs	perform	VERB
fuelectenerg-3144	421	10	a	a	DET
fuelectenerg-3144	421	11	phase	phase	NOUN
fuelectenerg-3144	421	12	flip	flip	NOUN
fuelectenerg-3144	421	13	,	,	PUNCT
fuelectenerg-3144	421	14	essentially	essentially	ADV
fuelectenerg-3144	421	15	“	"	PUNCT
fuelectenerg-3144	421	16	marking	mark	VERB
fuelectenerg-3144	421	17	”	"	PUNCT
fuelectenerg-3144	421	18	the	the	DET
fuelectenerg-3144	421	19	component	component	NOUN
fuelectenerg-3144	421	20	of	of	ADP
fuelectenerg-3144	421	21	a	a	DET
fuelectenerg-3144	421	22	superposition	superposition	NOUN
fuelectenerg-3144	421	23	that	that	PRON
fuelectenerg-3144	421	24	corresponds	correspond	VERB
fuelectenerg-3144	421	25	to	to	ADP
fuelectenerg-3144	421	26	the	the	DET
fuelectenerg-3144	421	27	variable	variable	ADJ
fuelectenerg-3144	421	28	assignment	assignment	NOUN
fuelectenerg-3144	421	29	satisfying	satisfy	VERB
fuelectenerg-3144	421	30	the	the	DET
fuelectenerg-3144	421	31	function	function	NOUN
fuelectenerg-3144	421	32	f	f	X
fuelectenerg-3144	421	33	—	—	PUNCT
fuelectenerg-3144	421	34	from	from	ADP
fuelectenerg-3144	421	35	now	now	ADV
fuelectenerg-3144	421	36	on	on	ADV
fuelectenerg-3144	421	37	,	,	PUNCT
fuelectenerg-3144	421	38	we	we	PRON
fuelectenerg-3144	421	39	will	will	AUX
fuelectenerg-3144	421	40	11	11	NUM
fuelectenerg-3144	421	41	178	178	NUM
fuelectenerg-3144	421	42	e.	e.	PROPN
fuelectenerg-3144	421	43	tsai	tsai	PROPN
fuelectenerg-3144	421	44	,	,	PUNCT
fuelectenerg-3144	421	45	m.	m.	PROPN
fuelectenerg-3144	421	46	perkowski	perkowski	PROPN
fuelectenerg-3144	421	47	a	a	DET
fuelectenerg-3144	421	48	quantum	quantum	ADJ
fuelectenerg-3144	421	49	algorithm	algorithm	NOUN
fuelectenerg-3144	421	50	for	for	ADP
fuelectenerg-3144	421	51	automata	automata	NOUN
fuelectenerg-3144	421	52	encoding	encode	VERB
fuelectenerg-3144	421	53	179	179	NUM
fuelectenerg-3144	421	54	xn	xn	NUM
fuelectenerg-3144	422	1	x3	x3	NUM
fuelectenerg-3144	422	2	x2	x2	INTJ
fuelectenerg-3144	423	1	x1	x1	PROPN
fuelectenerg-3144	423	2	y	y	PROPN
fuelectenerg-3144	423	3	f	f	PROPN
fuelectenerg-3144	423	4	figure	figure	NOUN
fuelectenerg-3144	423	5	5	5	NUM
fuelectenerg-3144	423	6	:	:	PUNCT
fuelectenerg-3144	423	7	controlled	control	VERB
fuelectenerg-3144	423	8	inverter	inverter	ADJ
fuelectenerg-3144	423	9	representation	representation	NOUN
fuelectenerg-3144	423	10	of	of	ADP
fuelectenerg-3144	423	11	a	a	DET
fuelectenerg-3144	423	12	quantum	quantum	ADJ
fuelectenerg-3144	423	13	oracle	oracle	NOUN
fuelectenerg-3144	423	14	.	.	PUNCT
fuelectenerg-3144	424	1	|ψ	|ψ	PROPN
fuelectenerg-3144	424	2	〉	〉	PROPN
fuelectenerg-3144	424	3	|ψ′	|ψ′	PROPN
fuelectenerg-3144	424	4	〉	〉	PROPN
fuelectenerg-3144	424	5	1√	1√	PROPN
fuelectenerg-3144	424	6	2	2	NUM
fuelectenerg-3144	424	7	(	(	PUNCT
fuelectenerg-3144	424	8	|0	|0	NUM
fuelectenerg-3144	424	9	〉	〉	NUM
fuelectenerg-3144	424	10	−	−	PROPN
fuelectenerg-3144	424	11	|1	|1	SYM
fuelectenerg-3144	424	12	〉	〉	NOUN
fuelectenerg-3144	424	13	)	)	PUNCT
fuelectenerg-3144	424	14	f	f	NOUN
fuelectenerg-3144	424	15	(	(	PUNCT
fuelectenerg-3144	424	16	a	a	NOUN
fuelectenerg-3144	424	17	)	)	PUNCT
fuelectenerg-3144	424	18	|ψ	|ψ	PROPN
fuelectenerg-3144	424	19	〉	〉	PROPN
fuelectenerg-3144	424	20	|ψ′	|ψ′	PROPN
fuelectenerg-3144	424	21	〉	〉	PROPN
fuelectenerg-3144	424	22	(	(	PUNCT
fuelectenerg-3144	424	23	b	b	NOUN
fuelectenerg-3144	424	24	)	)	PUNCT
fuelectenerg-3144	424	25	figure	figure	NOUN
fuelectenerg-3144	424	26	6	6	NUM
fuelectenerg-3144	424	27	:	:	PUNCT
fuelectenerg-3144	424	28	(	(	PUNCT
fuelectenerg-3144	424	29	a	a	X
fuelectenerg-3144	424	30	)	)	PUNCT
fuelectenerg-3144	424	31	quantum	quantum	NOUN
fuelectenerg-3144	424	32	oracle	oracle	NOUN
fuelectenerg-3144	424	33	set	set	VERB
fuelectenerg-3144	424	34	up	up	ADP
fuelectenerg-3144	424	35	to	to	PART
fuelectenerg-3144	424	36	perform	perform	VERB
fuelectenerg-3144	424	37	a	a	DET
fuelectenerg-3144	424	38	phase	phase	NOUN
fuelectenerg-3144	424	39	flip	flip	NOUN
fuelectenerg-3144	424	40	;	;	PUNCT
fuelectenerg-3144	424	41	(	(	PUNCT
fuelectenerg-3144	424	42	b	b	X
fuelectenerg-3144	424	43	)	)	PUNCT
fuelectenerg-3144	424	44	amplitudegraph	amplitudegraph	NOUN
fuelectenerg-3144	424	45	visualization	visualization	NOUN
fuelectenerg-3144	424	46	of	of	ADP
fuelectenerg-3144	424	47	the	the	DET
fuelectenerg-3144	424	48	phase	phase	NOUN
fuelectenerg-3144	424	49	flip	flip	NOUN
fuelectenerg-3144	424	50	.	.	PUNCT
fuelectenerg-3144	425	1	refer	refer	VERB
fuelectenerg-3144	425	2	to	to	ADP
fuelectenerg-3144	425	3	this	this	DET
fuelectenerg-3144	425	4	component	component	NOUN
fuelectenerg-3144	425	5	as	as	ADP
fuelectenerg-3144	425	6	the	the	DET
fuelectenerg-3144	425	7	“	"	PUNCT
fuelectenerg-3144	425	8	solution	solution	NOUN
fuelectenerg-3144	425	9	”	"	PUNCT
fuelectenerg-3144	425	10	component	component	NOUN
fuelectenerg-3144	425	11	since	since	SCONJ
fuelectenerg-3144	425	12	it	it	PRON
fuelectenerg-3144	425	13	represents	represent	VERB
fuelectenerg-3144	425	14	the	the	DET
fuelectenerg-3144	425	15	solution	solution	NOUN
fuelectenerg-3144	425	16	to	to	ADP
fuelectenerg-3144	425	17	the	the	DET
fuelectenerg-3144	425	18	satisfaction	satisfaction	NOUN
fuelectenerg-3144	425	19	problem	problem	NOUN
fuelectenerg-3144	425	20	.	.	PUNCT
fuelectenerg-3144	426	1	specifically	specifically	ADV
fuelectenerg-3144	426	2	,	,	PUNCT
fuelectenerg-3144	426	3	one	one	PRON
fuelectenerg-3144	426	4	can	can	AUX
fuelectenerg-3144	426	5	prove	prove	VERB
fuelectenerg-3144	426	6	that	that	SCONJ
fuelectenerg-3144	426	7	if	if	SCONJ
fuelectenerg-3144	426	8	one	one	PRON
fuelectenerg-3144	426	9	supplies	supply	VERB
fuelectenerg-3144	426	10	the	the	DET
fuelectenerg-3144	426	11	state	state	NOUN
fuelectenerg-3144	426	12	1√	1√	PROPN
fuelectenerg-3144	426	13	2	2	NUM
fuelectenerg-3144	426	14	(	(	PUNCT
fuelectenerg-3144	426	15	|0	|0	NUM
fuelectenerg-3144	426	16	〉	〉	NUM
fuelectenerg-3144	426	17	−	−	PROPN
fuelectenerg-3144	426	18	|1	|1	SYM
fuelectenerg-3144	426	19	〉	〉	NOUN
fuelectenerg-3144	426	20	)	)	PUNCT
fuelectenerg-3144	426	21	on	on	ADP
fuelectenerg-3144	426	22	the	the	DET
fuelectenerg-3144	426	23	oracle	oracle	NOUN
fuelectenerg-3144	426	24	’s	’s	PART
fuelectenerg-3144	426	25	output	output	NOUN
fuelectenerg-3144	426	26	qubit	qubit	NOUN
fuelectenerg-3144	426	27	(	(	PUNCT
fuelectenerg-3144	426	28	y	y	NOUN
fuelectenerg-3144	426	29	in	in	ADP
fuelectenerg-3144	426	30	figure	figure	NOUN
fuelectenerg-3144	426	31	5	5	NUM
fuelectenerg-3144	426	32	)	)	PUNCT
fuelectenerg-3144	426	33	and	and	CCONJ
fuelectenerg-3144	426	34	supplies	supply	VERB
fuelectenerg-3144	426	35	any	any	DET
fuelectenerg-3144	426	36	state	state	NOUN
fuelectenerg-3144	426	37	|ψ	|ψ	VERB
fuelectenerg-3144	426	38	〉	〉	NOUN
fuelectenerg-3144	426	39	on	on	ADP
fuelectenerg-3144	426	40	the	the	DET
fuelectenerg-3144	426	41	input	input	NOUN
fuelectenerg-3144	426	42	qubits	qubit	NOUN
fuelectenerg-3144	426	43	,	,	PUNCT
fuelectenerg-3144	426	44	then	then	ADV
fuelectenerg-3144	426	45	the	the	DET
fuelectenerg-3144	426	46	oracle	oracle	NOUN
fuelectenerg-3144	426	47	inverts	invert	VERB
fuelectenerg-3144	426	48	the	the	DET
fuelectenerg-3144	426	49	phase	phase	NOUN
fuelectenerg-3144	426	50	of	of	ADP
fuelectenerg-3144	426	51	the	the	DET
fuelectenerg-3144	426	52	solution	solution	NOUN
fuelectenerg-3144	426	53	component	component	NOUN
fuelectenerg-3144	426	54	of	of	ADP
fuelectenerg-3144	426	55	|ψ	|ψ	PROPN
fuelectenerg-3144	426	56	〉	〉	PROPN
fuelectenerg-3144	426	57	.	.	PUNCT
fuelectenerg-3144	427	1	figure	figure	NOUN
fuelectenerg-3144	427	2	6(a	6(a	NUM
fuelectenerg-3144	427	3	)	)	PUNCT
fuelectenerg-3144	427	4	illustrates	illustrate	VERB
fuelectenerg-3144	427	5	the	the	DET
fuelectenerg-3144	427	6	quantum	quantum	PROPN
fuelectenerg-3144	427	7	circuit	circuit	NOUN
fuelectenerg-3144	427	8	diagram	diagram	NOUN
fuelectenerg-3144	427	9	for	for	ADP
fuelectenerg-3144	427	10	an	an	DET
fuelectenerg-3144	427	11	oracle	oracle	NOUN
fuelectenerg-3144	427	12	set	set	VERB
fuelectenerg-3144	427	13	up	up	ADP
fuelectenerg-3144	427	14	to	to	PART
fuelectenerg-3144	427	15	perform	perform	VERB
fuelectenerg-3144	427	16	the	the	DET
fuelectenerg-3144	427	17	phase	phase	NOUN
fuelectenerg-3144	427	18	inversion	inversion	NOUN
fuelectenerg-3144	427	19	,	,	PUNCT
fuelectenerg-3144	427	20	showing	show	VERB
fuelectenerg-3144	427	21	the	the	DET
fuelectenerg-3144	427	22	output	output	NOUN
fuelectenerg-3144	427	23	qubit	qubit	NOUN
fuelectenerg-3144	427	24	initialized	initialize	VERB
fuelectenerg-3144	427	25	to	to	ADP
fuelectenerg-3144	427	26	1√	1√	PROPN
fuelectenerg-3144	427	27	2	2	NUM
fuelectenerg-3144	427	28	(	(	PUNCT
fuelectenerg-3144	427	29	|0〉−	|0〉−	NUM
fuelectenerg-3144	427	30	|1	|1	SYM
fuelectenerg-3144	427	31	〉	〉	NOUN
fuelectenerg-3144	427	32	)	)	PUNCT
fuelectenerg-3144	427	33	.	.	PUNCT
fuelectenerg-3144	428	1	figure	figure	NOUN
fuelectenerg-3144	428	2	6(b	6(b	NUM
fuelectenerg-3144	428	3	)	)	PUNCT
fuelectenerg-3144	428	4	then	then	ADV
fuelectenerg-3144	428	5	visualizes	visualize	VERB
fuelectenerg-3144	428	6	the	the	DET
fuelectenerg-3144	428	7	initial	initial	ADJ
fuelectenerg-3144	428	8	and	and	CCONJ
fuelectenerg-3144	428	9	final	final	ADJ
fuelectenerg-3144	428	10	states	state	NOUN
fuelectenerg-3144	428	11	,	,	PUNCT
fuelectenerg-3144	428	12	|ψ	|ψ	PROPN
fuelectenerg-3144	428	13	〉	〉	NUM
fuelectenerg-3144	428	14	and	and	CCONJ
fuelectenerg-3144	428	15	|ψ′	|ψ′	PROPN
fuelectenerg-3144	428	16	〉	〉	PROPN
fuelectenerg-3144	428	17	,	,	PUNCT
fuelectenerg-3144	428	18	of	of	ADP
fuelectenerg-3144	428	19	the	the	DET
fuelectenerg-3144	428	20	oracle	oracle	NOUN
fuelectenerg-3144	428	21	’s	’s	PART
fuelectenerg-3144	428	22	input	input	NOUN
fuelectenerg-3144	428	23	qubits	qubit	NOUN
fuelectenerg-3144	428	24	by	by	ADP
fuelectenerg-3144	428	25	plotting	plot	VERB
fuelectenerg-3144	428	26	their	their	PRON
fuelectenerg-3144	428	27	component	component	NOUN
fuelectenerg-3144	428	28	amplitudes	amplitude	NOUN
fuelectenerg-3144	428	29	.	.	PUNCT
fuelectenerg-3144	429	1	in	in	ADP
fuelectenerg-3144	429	2	other	other	ADJ
fuelectenerg-3144	429	3	words	word	NOUN
fuelectenerg-3144	429	4	,	,	PUNCT
fuelectenerg-3144	429	5	given	give	VERB
fuelectenerg-3144	429	6	the	the	DET
fuelectenerg-3144	429	7	state	state	NOUN
fuelectenerg-3144	429	8	|ψ	|ψ	PROPN
fuelectenerg-3144	429	9	〉	〉	PROPN
fuelectenerg-3144	429	10	(	(	PUNCT
fuelectenerg-3144	429	11	or	or	CCONJ
fuelectenerg-3144	429	12	|ψ′	|ψ′	PROPN
fuelectenerg-3144	429	13	〉	〉	PROPN
fuelectenerg-3144	429	14	)	)	PUNCT
fuelectenerg-3144	429	15	expressed	express	VERB
fuelectenerg-3144	429	16	as	as	ADP
fuelectenerg-3144	429	17	a	a	DET
fuelectenerg-3144	429	18	sum	sum	NOUN
fuelectenerg-3144	429	19	of	of	ADP
fuelectenerg-3144	429	20	components	component	NOUN
fuelectenerg-3144	429	21	,	,	PUNCT
fuelectenerg-3144	429	22	|ψ	|ψ	PRON
fuelectenerg-3144	429	23	〉	〉	NOUN
fuelectenerg-3144	429	24	=	=	SYM
fuelectenerg-3144	429	25	n−1∑	n−1∑	PROPN
fuelectenerg-3144	429	26	i=0	i=0	PROPN
fuelectenerg-3144	429	27	ai|i	ai|i	NOUN
fuelectenerg-3144	429	28	〉	〉	PROPN
fuelectenerg-3144	429	29	,	,	PUNCT
fuelectenerg-3144	429	30	the	the	DET
fuelectenerg-3144	429	31	graphs	graph	NOUN
fuelectenerg-3144	429	32	plot	plot	NOUN
fuelectenerg-3144	429	33	ai	ai	VERB
fuelectenerg-3144	429	34	against	against	ADP
fuelectenerg-3144	429	35	i.	i.	PROPN
fuelectenerg-3144	429	36	comparison	comparison	NOUN
fuelectenerg-3144	429	37	between	between	ADP
fuelectenerg-3144	429	38	|ψ	|ψ	PROPN
fuelectenerg-3144	429	39	〉	〉	PROPN
fuelectenerg-3144	429	40	and	and	CCONJ
fuelectenerg-3144	429	41	|ψ′	|ψ′	PROPN
fuelectenerg-3144	429	42	〉	〉	PROPN
fuelectenerg-3144	429	43	shows	show	VERB
fuelectenerg-3144	429	44	that	that	SCONJ
fuelectenerg-3144	429	45	the	the	DET
fuelectenerg-3144	429	46	phase	phase	NOUN
fuelectenerg-3144	429	47	of	of	ADP
fuelectenerg-3144	429	48	a	a	DET
fuelectenerg-3144	429	49	single	single	ADJ
fuelectenerg-3144	429	50	component	component	NOUN
fuelectenerg-3144	429	51	(	(	PUNCT
fuelectenerg-3144	429	52	the	the	DET
fuelectenerg-3144	429	53	solution	solution	NOUN
fuelectenerg-3144	429	54	component	component	NOUN
fuelectenerg-3144	429	55	)	)	PUNCT
fuelectenerg-3144	429	56	has	have	AUX
fuelectenerg-3144	429	57	been	be	AUX
fuelectenerg-3144	429	58	inverted	invert	VERB
fuelectenerg-3144	429	59	.	.	PUNCT
fuelectenerg-3144	430	1	we	we	PRON
fuelectenerg-3144	430	2	observe	observe	VERB
fuelectenerg-3144	430	3	that	that	SCONJ
fuelectenerg-3144	430	4	the	the	DET
fuelectenerg-3144	430	5	phase	phase	NOUN
fuelectenerg-3144	430	6	inversion	inversion	NOUN
fuelectenerg-3144	430	7	can	can	AUX
fuelectenerg-3144	430	8	be	be	AUX
fuelectenerg-3144	430	9	interpreted	interpret	VERB
fuelectenerg-3144	430	10	to	to	PART
fuelectenerg-3144	430	11	mean	mean	VERB
fuelectenerg-3144	430	12	that	that	SCONJ
fuelectenerg-3144	430	13	the	the	DET
fuelectenerg-3144	430	14	oracle	oracle	NOUN
fuelectenerg-3144	430	15	in	in	ADP
fuelectenerg-3144	430	16	a	a	DET
fuelectenerg-3144	430	17	sense	sense	NOUN
fuelectenerg-3144	430	18	evaluates	evaluate	VERB
fuelectenerg-3144	430	19	the	the	DET
fuelectenerg-3144	430	20	function	function	NOUN
fuelectenerg-3144	430	21	f	f	PROPN
fuelectenerg-3144	430	22	simultaneously	simultaneously	ADV
fuelectenerg-3144	430	23	for	for	ADP
fuelectenerg-3144	430	24	all	all	DET
fuelectenerg-3144	430	25	possible	possible	ADJ
fuelectenerg-3144	430	26	inputs	input	NOUN
fuelectenerg-3144	430	27	and	and	CCONJ
fuelectenerg-3144	430	28	finds	find	VERB
fuelectenerg-3144	430	29	the	the	DET
fuelectenerg-3144	430	30	solution	solution	NOUN
fuelectenerg-3144	430	31	immediately	immediately	ADV
fuelectenerg-3144	430	32	.	.	PUNCT
fuelectenerg-3144	431	1	unfortunately	unfortunately	ADV
fuelectenerg-3144	431	2	,	,	PUNCT
fuelectenerg-3144	431	3	the	the	DET
fuelectenerg-3144	431	4	so12	so12	PROPN
fuelectenerg-3144	431	5	h	h	NOUN
fuelectenerg-3144	431	6	h	h	NOUN
fuelectenerg-3144	431	7	h	h	NOUN
fuelectenerg-3144	431	8	h	h	NOUN
fuelectenerg-3144	432	1	h	h	NOUN
fuelectenerg-3144	432	2	h	h	NOUN
fuelectenerg-3144	432	3	h	h	PROPN
fuelectenerg-3144	432	4	h	h	PROPN
fuelectenerg-3144	432	5	z|ψ	z|ψ	PROPN
fuelectenerg-3144	432	6	〉	〉	PROPN
fuelectenerg-3144	432	7	|ψ′	|ψ′	PROPN
fuelectenerg-3144	432	8	〉	〉	PROPN
fuelectenerg-3144	432	9	(	(	PUNCT
fuelectenerg-3144	432	10	a	a	NOUN
fuelectenerg-3144	432	11	)	)	PUNCT
fuelectenerg-3144	432	12	|ψ	|ψ	PROPN
fuelectenerg-3144	432	13	〉	〉	PROPN
fuelectenerg-3144	432	14	µ	µ	PROPN
fuelectenerg-3144	432	15	|ψ′	|ψ′	PROPN
fuelectenerg-3144	432	16	〉	〉	PROPN
fuelectenerg-3144	432	17	µ	µ	PROPN
fuelectenerg-3144	432	18	(	(	PUNCT
fuelectenerg-3144	432	19	b	b	NOUN
fuelectenerg-3144	432	20	)	)	PUNCT
fuelectenerg-3144	432	21	figure	figure	NOUN
fuelectenerg-3144	432	22	7	7	NUM
fuelectenerg-3144	432	23	:	:	PUNCT
fuelectenerg-3144	432	24	(	(	PUNCT
fuelectenerg-3144	432	25	a	a	X
fuelectenerg-3144	432	26	)	)	PUNCT
fuelectenerg-3144	432	27	circuit	circuit	NOUN
fuelectenerg-3144	432	28	to	to	PART
fuelectenerg-3144	432	29	perform	perform	VERB
fuelectenerg-3144	432	30	inversion	inversion	NOUN
fuelectenerg-3144	432	31	about	about	ADP
fuelectenerg-3144	432	32	the	the	DET
fuelectenerg-3144	432	33	mean	mean	NOUN
fuelectenerg-3144	432	34	;	;	PUNCT
fuelectenerg-3144	432	35	(	(	PUNCT
fuelectenerg-3144	432	36	b	b	X
fuelectenerg-3144	432	37	)	)	PUNCT
fuelectenerg-3144	432	38	amplitude	amplitude	NOUN
fuelectenerg-3144	432	39	-	-	PUNCT
fuelectenerg-3144	432	40	graph	graph	NOUN
fuelectenerg-3144	432	41	visualization	visualization	NOUN
fuelectenerg-3144	432	42	.	.	PUNCT
fuelectenerg-3144	433	1	lution	lution	PROPN
fuelectenerg-3144	433	2	is	be	AUX
fuelectenerg-3144	433	3	encoded	encode	VERB
fuelectenerg-3144	433	4	as	as	ADP
fuelectenerg-3144	433	5	a	a	DET
fuelectenerg-3144	433	6	phase	phase	NOUN
fuelectenerg-3144	433	7	variation	variation	NOUN
fuelectenerg-3144	433	8	which	which	PRON
fuelectenerg-3144	433	9	is	be	AUX
fuelectenerg-3144	433	10	not	not	PART
fuelectenerg-3144	433	11	directly	directly	ADV
fuelectenerg-3144	433	12	observable	observable	ADJ
fuelectenerg-3144	433	13	.	.	PUNCT
fuelectenerg-3144	434	1	this	this	DET
fuelectenerg-3144	434	2	problem	problem	NOUN
fuelectenerg-3144	434	3	is	be	AUX
fuelectenerg-3144	434	4	solved	solve	VERB
fuelectenerg-3144	434	5	by	by	ADP
fuelectenerg-3144	434	6	the	the	DET
fuelectenerg-3144	434	7	second	second	ADJ
fuelectenerg-3144	434	8	part	part	NOUN
fuelectenerg-3144	434	9	of	of	ADP
fuelectenerg-3144	434	10	grover	grover	PROPN
fuelectenerg-3144	434	11	’s	’s	PART
fuelectenerg-3144	434	12	algorithm	algorithm	NOUN
fuelectenerg-3144	434	13	—	—	PUNCT
fuelectenerg-3144	434	14	the	the	DET
fuelectenerg-3144	434	15	amplitude	amplitude	NOUN
fuelectenerg-3144	434	16	amplification	amplification	NOUN
fuelectenerg-3144	434	17	procedure	procedure	NOUN
fuelectenerg-3144	434	18	,	,	PUNCT
fuelectenerg-3144	434	19	which	which	PRON
fuelectenerg-3144	434	20	converts	convert	VERB
fuelectenerg-3144	434	21	this	this	DET
fuelectenerg-3144	434	22	phase	phase	NOUN
fuelectenerg-3144	434	23	difference	difference	NOUN
fuelectenerg-3144	434	24	into	into	ADP
fuelectenerg-3144	434	25	a	a	DET
fuelectenerg-3144	434	26	measurable	measurable	ADJ
fuelectenerg-3144	434	27	amplitude	amplitude	NOUN
fuelectenerg-3144	434	28	difference	difference	NOUN
fuelectenerg-3144	434	29	.	.	PUNCT
fuelectenerg-3144	435	1	this	this	DET
fuelectenerg-3144	435	2	procedure	procedure	NOUN
fuelectenerg-3144	435	3	is	be	AUX
fuelectenerg-3144	435	4	seen	see	VERB
fuelectenerg-3144	435	5	on	on	ADP
fuelectenerg-3144	435	6	the	the	DET
fuelectenerg-3144	435	7	righthand	righthand	NOUN
fuelectenerg-3144	435	8	side	side	NOUN
fuelectenerg-3144	435	9	of	of	ADP
fuelectenerg-3144	435	10	figure	figure	NOUN
fuelectenerg-3144	435	11	4	4	NUM
fuelectenerg-3144	435	12	and	and	CCONJ
fuelectenerg-3144	435	13	involves	involve	VERB
fuelectenerg-3144	435	14	the	the	DET
fuelectenerg-3144	435	15	hadamard	hadamard	NOUN
fuelectenerg-3144	435	16	gates	gate	NOUN
fuelectenerg-3144	435	17	together	together	ADV
fuelectenerg-3144	435	18	with	with	ADP
fuelectenerg-3144	435	19	the	the	DET
fuelectenerg-3144	435	20	zero	zero	NUM
fuelectenerg-3144	435	21	-	-	PUNCT
fuelectenerg-3144	435	22	state	state	NOUN
fuelectenerg-3144	435	23	phase	phase	NOUN
fuelectenerg-3144	435	24	shift	shift	NOUN
fuelectenerg-3144	435	25	z.	z.	PROPN
fuelectenerg-3144	436	1	the	the	DET
fuelectenerg-3144	436	2	zero	zero	NUM
fuelectenerg-3144	436	3	-	-	PUNCT
fuelectenerg-3144	436	4	state	state	NOUN
fuelectenerg-3144	436	5	phase	phase	NOUN
fuelectenerg-3144	436	6	shift	shift	NOUN
fuelectenerg-3144	436	7	is	be	AUX
fuelectenerg-3144	436	8	defined	define	VERB
fuelectenerg-3144	436	9	to	to	PART
fuelectenerg-3144	436	10	invert	invert	VERB
fuelectenerg-3144	436	11	the	the	DET
fuelectenerg-3144	436	12	phase	phase	NOUN
fuelectenerg-3144	436	13	of	of	ADP
fuelectenerg-3144	436	14	the	the	DET
fuelectenerg-3144	436	15	|0	|0	NUM
fuelectenerg-3144	436	16	〉	〉	PROPN
fuelectenerg-3144	436	17	component	component	NOUN
fuelectenerg-3144	436	18	of	of	ADP
fuelectenerg-3144	436	19	any	any	DET
fuelectenerg-3144	436	20	quantum	quantum	ADJ
fuelectenerg-3144	436	21	state	state	NOUN
fuelectenerg-3144	436	22	on	on	ADP
fuelectenerg-3144	436	23	which	which	PRON
fuelectenerg-3144	436	24	it	it	PRON
fuelectenerg-3144	436	25	acts	act	VERB
fuelectenerg-3144	436	26	.	.	PUNCT
fuelectenerg-3144	437	1	one	one	PRON
fuelectenerg-3144	437	2	can	can	AUX
fuelectenerg-3144	437	3	prove	prove	VERB
fuelectenerg-3144	437	4	that	that	SCONJ
fuelectenerg-3144	437	5	when	when	SCONJ
fuelectenerg-3144	437	6	hadamard	hadamard	ADJ
fuelectenerg-3144	437	7	gates	gate	NOUN
fuelectenerg-3144	437	8	are	be	AUX
fuelectenerg-3144	437	9	applied	apply	VERB
fuelectenerg-3144	437	10	before	before	ADP
fuelectenerg-3144	437	11	and	and	CCONJ
fuelectenerg-3144	437	12	after	after	ADP
fuelectenerg-3144	437	13	a	a	DET
fuelectenerg-3144	437	14	zero	zero	NUM
fuelectenerg-3144	437	15	-	-	PUNCT
fuelectenerg-3144	437	16	state	state	NOUN
fuelectenerg-3144	437	17	phase	phase	NOUN
fuelectenerg-3144	437	18	shift	shift	NOUN
fuelectenerg-3144	437	19	as	as	SCONJ
fuelectenerg-3144	437	20	shown	show	VERB
fuelectenerg-3144	437	21	in	in	ADP
fuelectenerg-3144	437	22	figure	figure	NOUN
fuelectenerg-3144	437	23	4	4	NUM
fuelectenerg-3144	437	24	,	,	PUNCT
fuelectenerg-3144	437	25	the	the	DET
fuelectenerg-3144	437	26	result	result	NOUN
fuelectenerg-3144	437	27	is	be	AUX
fuelectenerg-3144	437	28	an	an	DET
fuelectenerg-3144	437	29	inversion	inversion	NOUN
fuelectenerg-3144	437	30	about	about	ADP
fuelectenerg-3144	437	31	the	the	DET
fuelectenerg-3144	437	32	mean	mean	NOUN
fuelectenerg-3144	437	33	,	,	PUNCT
fuelectenerg-3144	437	34	defined	define	VERB
fuelectenerg-3144	437	35	as	as	SCONJ
fuelectenerg-3144	437	36	follows	follow	VERB
fuelectenerg-3144	437	37	:	:	PUNCT
fuelectenerg-3144	437	38	if	if	SCONJ
fuelectenerg-3144	437	39	µ	µ	PRON
fuelectenerg-3144	437	40	denotes	denote	VERB
fuelectenerg-3144	437	41	the	the	DET
fuelectenerg-3144	437	42	mean	mean	ADJ
fuelectenerg-3144	437	43	amplitude	amplitude	NOUN
fuelectenerg-3144	437	44	of	of	ADP
fuelectenerg-3144	437	45	the	the	DET
fuelectenerg-3144	437	46	components	component	NOUN
fuelectenerg-3144	437	47	of	of	ADP
fuelectenerg-3144	437	48	a	a	DET
fuelectenerg-3144	437	49	quantum	quantum	ADJ
fuelectenerg-3144	437	50	state	state	NOUN
fuelectenerg-3144	437	51	,	,	PUNCT
fuelectenerg-3144	437	52	then	then	ADV
fuelectenerg-3144	437	53	under	under	ADP
fuelectenerg-3144	437	54	an	an	DET
fuelectenerg-3144	437	55	inversion	inversion	NOUN
fuelectenerg-3144	437	56	about	about	ADP
fuelectenerg-3144	437	57	the	the	DET
fuelectenerg-3144	437	58	mean	mean	NOUN
fuelectenerg-3144	437	59	,	,	PUNCT
fuelectenerg-3144	437	60	each	each	DET
fuelectenerg-3144	437	61	component	component	NOUN
fuelectenerg-3144	437	62	’s	’s	PART
fuelectenerg-3144	437	63	amplitude	amplitude	NOUN
fuelectenerg-3144	437	64	becomes	become	VERB
fuelectenerg-3144	437	65	2µ−	2µ−	NUM
fuelectenerg-3144	437	66	a	a	DET
fuelectenerg-3144	437	67	where	where	SCONJ
fuelectenerg-3144	437	68	a	a	PRON
fuelectenerg-3144	437	69	is	be	AUX
fuelectenerg-3144	437	70	the	the	DET
fuelectenerg-3144	437	71	component	component	NOUN
fuelectenerg-3144	437	72	’s	’s	PART
fuelectenerg-3144	437	73	prior	prior	ADJ
fuelectenerg-3144	437	74	amplitude	amplitude	NOUN
fuelectenerg-3144	437	75	.	.	PUNCT
fuelectenerg-3144	438	1	this	this	DET
fuelectenerg-3144	438	2	transformation	transformation	NOUN
fuelectenerg-3144	438	3	is	be	AUX
fuelectenerg-3144	438	4	mathematically	mathematically	ADV
fuelectenerg-3144	438	5	represented	represent	VERB
fuelectenerg-3144	438	6	by	by	ADP
fuelectenerg-3144	438	7	the	the	DET
fuelectenerg-3144	438	8	following	follow	VERB
fuelectenerg-3144	438	9	equation	equation	NOUN
fuelectenerg-3144	438	10	:	:	PUNCT
fuelectenerg-3144	438	11	hzh	hzh	VERB
fuelectenerg-3144	438	12	(	(	PUNCT
fuelectenerg-3144	438	13	n−1∑	n−1∑	PROPN
fuelectenerg-3144	438	14	i=0	i=0	PROPN
fuelectenerg-3144	438	15	ai|i	ai|i	NOUN
fuelectenerg-3144	438	16	〉	〉	NOUN
fuelectenerg-3144	438	17	)	)	PUNCT
fuelectenerg-3144	439	1	=	=	SYM
fuelectenerg-3144	440	1	n−1∑	n−1∑	PROPN
fuelectenerg-3144	440	2	i=0	i=0	PROPN
fuelectenerg-3144	440	3	(	(	PUNCT
fuelectenerg-3144	440	4	2µ−	2µ−	NUM
fuelectenerg-3144	440	5	ai)|i	ai)|i	NOUN
fuelectenerg-3144	440	6	〉	〉	PROPN
fuelectenerg-3144	440	7	,	,	PUNCT
fuelectenerg-3144	440	8	where	where	SCONJ
fuelectenerg-3144	440	9	hzh	hzh	PROPN
fuelectenerg-3144	440	10	denotes	denote	VERB
fuelectenerg-3144	440	11	the	the	DET
fuelectenerg-3144	440	12	aforementioned	aforementioned	ADJ
fuelectenerg-3144	440	13	combination	combination	NOUN
fuelectenerg-3144	440	14	of	of	ADP
fuelectenerg-3144	440	15	hadamard	hadamard	ADJ
fuelectenerg-3144	440	16	gates	gate	NOUN
fuelectenerg-3144	440	17	and	and	CCONJ
fuelectenerg-3144	440	18	the	the	DET
fuelectenerg-3144	440	19	zero	zero	NUM
fuelectenerg-3144	440	20	-	-	PUNCT
fuelectenerg-3144	440	21	state	state	NOUN
fuelectenerg-3144	440	22	phase	phase	NOUN
fuelectenerg-3144	440	23	shift	shift	NOUN
fuelectenerg-3144	440	24	.	.	PUNCT
fuelectenerg-3144	441	1	figure	figure	NOUN
fuelectenerg-3144	441	2	7	7	NUM
fuelectenerg-3144	441	3	depicts	depict	VERB
fuelectenerg-3144	441	4	the	the	DET
fuelectenerg-3144	441	5	effect	effect	NOUN
fuelectenerg-3144	441	6	of	of	ADP
fuelectenerg-3144	441	7	inversion	inversion	NOUN
fuelectenerg-3144	441	8	about	about	ADP
fuelectenerg-3144	441	9	the	the	DET
fuelectenerg-3144	441	10	mean	mean	NOUN
fuelectenerg-3144	441	11	when	when	SCONJ
fuelectenerg-3144	441	12	applied	apply	VERB
fuelectenerg-3144	441	13	immediately	immediately	ADV
fuelectenerg-3144	441	14	following	follow	VERB
fuelectenerg-3144	441	15	the	the	DET
fuelectenerg-3144	441	16	quantum	quantum	ADJ
fuelectenerg-3144	441	17	oracle	oracle	NOUN
fuelectenerg-3144	441	18	.	.	PUNCT
fuelectenerg-3144	442	1	figure	figure	NOUN
fuelectenerg-3144	442	2	7(a	7(a	NUM
fuelectenerg-3144	442	3	)	)	PUNCT
fuelectenerg-3144	442	4	shows	show	VERB
fuelectenerg-3144	442	5	the	the	DET
fuelectenerg-3144	442	6	portion	portion	NOUN
fuelectenerg-3144	442	7	of	of	ADP
fuelectenerg-3144	442	8	the	the	DET
fuelectenerg-3144	442	9	grover	grover	NOUN
fuelectenerg-3144	442	10	iterate	iterate	NOUN
fuelectenerg-3144	442	11	g	g	PROPN
fuelectenerg-3144	443	1	(	(	PUNCT
fuelectenerg-3144	443	2	from	from	ADP
fuelectenerg-3144	443	3	figures	figure	NOUN
fuelectenerg-3144	443	4	3	3	NUM
fuelectenerg-3144	443	5	and	and	CCONJ
fuelectenerg-3144	443	6	4	4	NUM
fuelectenerg-3144	443	7	)	)	PUNCT
fuelectenerg-3144	443	8	that	that	PRON
fuelectenerg-3144	443	9	performs	perform	VERB
fuelectenerg-3144	443	10	inversion	inversion	NOUN
fuelectenerg-3144	443	11	about	about	ADP
fuelectenerg-3144	443	12	the	the	DET
fuelectenerg-3144	443	13	mean	mean	NOUN
fuelectenerg-3144	443	14	.	.	PUNCT
fuelectenerg-3144	444	1	figure	figure	NOUN
fuelectenerg-3144	444	2	7(b	7(b	NUM
fuelectenerg-3144	444	3	)	)	PUNCT
fuelectenerg-3144	444	4	then	then	ADV
fuelectenerg-3144	444	5	visualizes	visualize	VERB
fuelectenerg-3144	444	6	the	the	DET
fuelectenerg-3144	444	7	initial	initial	ADJ
fuelectenerg-3144	444	8	and	and	CCONJ
fuelectenerg-3144	444	9	final	final	ADJ
fuelectenerg-3144	444	10	quantum	quantum	ADJ
fuelectenerg-3144	444	11	states	state	NOUN
fuelectenerg-3144	444	12	in	in	ADP
fuelectenerg-3144	444	13	the	the	DET
fuelectenerg-3144	444	14	same	same	ADJ
fuelectenerg-3144	444	15	manner	manner	NOUN
fuelectenerg-3144	444	16	as	as	ADP
fuelectenerg-3144	444	17	figure	figure	NOUN
fuelectenerg-3144	444	18	6	6	NUM
fuelectenerg-3144	444	19	.	.	PUNCT
fuelectenerg-3144	445	1	we	we	PRON
fuelectenerg-3144	445	2	see	see	VERB
fuelectenerg-3144	445	3	that	that	SCONJ
fuelectenerg-3144	445	4	following	follow	VERB
fuelectenerg-3144	445	5	inversion	inversion	NOUN
fuelectenerg-3144	445	6	about	about	ADP
fuelectenerg-3144	445	7	the	the	DET
fuelectenerg-3144	445	8	mean	mean	NOUN
fuelectenerg-3144	445	9	,	,	PUNCT
fuelectenerg-3144	445	10	the	the	DET
fuelectenerg-3144	445	11	amplitudes	amplitude	NOUN
fuelectenerg-3144	445	12	of	of	ADP
fuelectenerg-3144	445	13	the	the	DET
fuelectenerg-3144	445	14	solution	solution	NOUN
fuelectenerg-3144	445	15	component	component	NOUN
fuelectenerg-3144	445	16	has	have	AUX
fuelectenerg-3144	445	17	increased	increase	VERB
fuelectenerg-3144	445	18	while	while	SCONJ
fuelectenerg-3144	445	19	those	those	PRON
fuelectenerg-3144	445	20	of	of	ADP
fuelectenerg-3144	445	21	all	all	DET
fuelectenerg-3144	445	22	other	other	ADJ
fuelectenerg-3144	445	23	components	component	NOUN
fuelectenerg-3144	445	24	have	have	AUX
fuelectenerg-3144	445	25	decreased	decrease	VERB
fuelectenerg-3144	445	26	.	.	PUNCT
fuelectenerg-3144	446	1	successive	successive	ADJ
fuelectenerg-3144	446	2	application	application	NOUN
fuelectenerg-3144	446	3	of	of	ADP
fuelectenerg-3144	446	4	the	the	DET
fuelectenerg-3144	446	5	grover	grover	NOUN
fuelectenerg-3144	446	6	iterate	iterate	NOUN
fuelectenerg-3144	446	7	similarly	similarly	ADV
fuelectenerg-3144	446	8	increases	increase	VERB
fuelectenerg-3144	446	9	the	the	DET
fuelectenerg-3144	446	10	amplitude	amplitude	NOUN
fuelectenerg-3144	446	11	of	of	ADP
fuelectenerg-3144	446	12	the	the	DET
fuelectenerg-3144	446	13	solution	solution	NOUN
fuelectenerg-3144	446	14	component	component	NOUN
fuelectenerg-3144	446	15	further	far	ADV
fuelectenerg-3144	446	16	.	.	PUNCT
fuelectenerg-3144	447	1	after	after	ADP
fuelectenerg-3144	447	2	enough	enough	ADJ
fuelectenerg-3144	447	3	iterations	iteration	NOUN
fuelectenerg-3144	447	4	,	,	PUNCT
fuelectenerg-3144	447	5	the	the	DET
fuelectenerg-3144	447	6	superposition	superposition	NOUN
fuelectenerg-3144	447	7	consists	consist	VERB
fuelectenerg-3144	447	8	entirely	entirely	ADV
fuelectenerg-3144	447	9	or	or	CCONJ
fuelectenerg-3144	447	10	nearly	nearly	ADV
fuelectenerg-3144	447	11	entirely	entirely	ADV
fuelectenerg-3144	447	12	of	of	ADP
fuelectenerg-3144	447	13	only	only	ADV
fuelectenerg-3144	447	14	the	the	DET
fuelectenerg-3144	447	15	solution	solution	NOUN
fuelectenerg-3144	447	16	component	component	NOUN
fuelectenerg-3144	447	17	.	.	PUNCT
fuelectenerg-3144	448	1	specifically	specifically	ADV
fuelectenerg-3144	448	2	,	,	PUNCT
fuelectenerg-3144	448	3	one	one	PRON
fuelectenerg-3144	448	4	can	can	AUX
fuelectenerg-3144	448	5	prove	prove	VERB
fuelectenerg-3144	448	6	that	that	SCONJ
fuelectenerg-3144	448	7	the	the	DET
fuelectenerg-3144	448	8	number	number	NOUN
fuelectenerg-3144	448	9	of	of	ADP
fuelectenerg-3144	448	10	iterations	iteration	NOUN
fuelectenerg-3144	448	11	required	require	VERB
fuelectenerg-3144	448	12	is	be	AUX
fuelectenerg-3144	448	13	on	on	ADP
fuelectenerg-3144	448	14	the	the	DET
fuelectenerg-3144	448	15	order	order	NOUN
fuelectenerg-3144	448	16	of√	of√	PUNCT
fuelectenerg-3144	449	1	n	n	CCONJ
fuelectenerg-3144	449	2	,	,	PUNCT
fuelectenerg-3144	449	3	where	where	SCONJ
fuelectenerg-3144	449	4	n	n	PRON
fuelectenerg-3144	449	5	is	be	AUX
fuelectenerg-3144	449	6	the	the	DET
fuelectenerg-3144	449	7	total	total	ADJ
fuelectenerg-3144	449	8	number	number	NOUN
fuelectenerg-3144	449	9	of	of	ADP
fuelectenerg-3144	449	10	components	component	NOUN
fuelectenerg-3144	449	11	(	(	PUNCT
fuelectenerg-3144	449	12	i.e.	i.e.	X
fuelectenerg-3144	449	13	,	,	PUNCT
fuelectenerg-3144	449	14	the	the	DET
fuelectenerg-3144	449	15	number	number	NOUN
fuelectenerg-3144	449	16	of	of	ADP
fuelectenerg-3144	449	17	possible	possible	ADJ
fuelectenerg-3144	449	18	assignments	assignment	NOUN
fuelectenerg-3144	449	19	of	of	ADP
fuelectenerg-3144	449	20	values	value	NOUN
fuelectenerg-3144	449	21	to	to	ADP
fuelectenerg-3144	449	22	variables	variable	NOUN
fuelectenerg-3144	449	23	)	)	PUNCT
fuelectenerg-3144	449	24	.	.	PUNCT
fuelectenerg-3144	450	1	then	then	ADV
fuelectenerg-3144	450	2	,	,	PUNCT
fuelectenerg-3144	450	3	a	a	DET
fuelectenerg-3144	450	4	measurement	measurement	NOUN
fuelectenerg-3144	450	5	gives	give	VERB
fuelectenerg-3144	450	6	(	(	PUNCT
fuelectenerg-3144	450	7	with	with	ADP
fuelectenerg-3144	450	8	near	near	ADP
fuelectenerg-3144	450	9	certainty	certainty	NOUN
fuelectenerg-3144	450	10	)	)	PUNCT
fuelectenerg-3144	450	11	a	a	DET
fuelectenerg-3144	450	12	variable	variable	ADJ
fuelectenerg-3144	450	13	assignment	assignment	NOUN
fuelectenerg-3144	450	14	satisfying	satisfy	VERB
fuelectenerg-3144	450	15	the	the	DET
fuelectenerg-3144	450	16	function	function	NOUN
fuelectenerg-3144	450	17	f	f	PROPN
fuelectenerg-3144	450	18	.	.	PUNCT
fuelectenerg-3144	451	1	since	since	SCONJ
fuelectenerg-3144	451	2	we	we	PRON
fuelectenerg-3144	451	3	assume	assume	VERB
fuelectenerg-3144	451	4	that	that	SCONJ
fuelectenerg-3144	451	5	nothing	nothing	PRON
fuelectenerg-3144	451	6	is	be	AUX
fuelectenerg-3144	451	7	known	know	VERB
fuelectenerg-3144	451	8	in	in	ADP
fuelectenerg-3144	451	9	advance	advance	NOUN
fuelectenerg-3144	451	10	about	about	ADP
fuelectenerg-3144	451	11	the	the	DET
fuelectenerg-3144	451	12	function	function	NOUN
fuelectenerg-3144	451	13	f	f	PROPN
fuelectenerg-3144	451	14	,	,	PUNCT
fuelectenerg-3144	451	15	the	the	DET
fuelectenerg-3144	451	16	just	just	ADV
fuelectenerg-3144	451	17	-	-	PUNCT
fuelectenerg-3144	451	18	described	describe	VERB
fuelectenerg-3144	451	19	amplitude	amplitude	NOUN
fuelectenerg-3144	451	20	amplification	amplification	NOUN
fuelectenerg-3144	451	21	procedure	procedure	NOUN
fuelectenerg-3144	451	22	should	should	AUX
fuelectenerg-3144	451	23	begin	begin	VERB
fuelectenerg-3144	451	24	with	with	ADP
fuelectenerg-3144	451	25	a	a	DET
fuelectenerg-3144	451	26	superposition	superposition	NOUN
fuelectenerg-3144	451	27	of	of	ADP
fuelectenerg-3144	451	28	all	all	DET
fuelectenerg-3144	451	29	possible	possible	ADJ
fuelectenerg-3144	451	30	variable	variable	ADJ
fuelectenerg-3144	451	31	assignments	assignment	NOUN
fuelectenerg-3144	451	32	,	,	PUNCT
fuelectenerg-3144	451	33	as	as	SCONJ
fuelectenerg-3144	451	34	any	any	PRON
fuelectenerg-3144	451	35	of	of	ADP
fuelectenerg-3144	451	36	them	they	PRON
fuelectenerg-3144	451	37	could	could	AUX
fuelectenerg-3144	451	38	13	13	NUM
fuelectenerg-3144	451	39	180	180	NUM
fuelectenerg-3144	451	40	e.	e.	PROPN
fuelectenerg-3144	451	41	tsai	tsai	PROPN
fuelectenerg-3144	451	42	,	,	PUNCT
fuelectenerg-3144	451	43	m.	m.	PROPN
fuelectenerg-3144	451	44	perkowski	perkowski	PROPN
fuelectenerg-3144	451	45	a	a	DET
fuelectenerg-3144	451	46	quantum	quantum	ADJ
fuelectenerg-3144	451	47	algorithm	algorithm	NOUN
fuelectenerg-3144	451	48	for	for	ADP
fuelectenerg-3144	451	49	automata	automata	NOUN
fuelectenerg-3144	451	50	encoding	encode	VERB
fuelectenerg-3144	451	51	181	181	NUM
fuelectenerg-3144	451	52	xn	xn	NUM
fuelectenerg-3144	452	1	x3	x3	NUM
fuelectenerg-3144	452	2	x2	x2	INTJ
fuelectenerg-3144	453	1	x1	x1	PROPN
fuelectenerg-3144	453	2	y	y	PROPN
fuelectenerg-3144	453	3	f	f	PROPN
fuelectenerg-3144	453	4	figure	figure	NOUN
fuelectenerg-3144	453	5	5	5	NUM
fuelectenerg-3144	453	6	:	:	PUNCT
fuelectenerg-3144	453	7	controlled	control	VERB
fuelectenerg-3144	453	8	inverter	inverter	ADJ
fuelectenerg-3144	453	9	representation	representation	NOUN
fuelectenerg-3144	453	10	of	of	ADP
fuelectenerg-3144	453	11	a	a	DET
fuelectenerg-3144	453	12	quantum	quantum	ADJ
fuelectenerg-3144	453	13	oracle	oracle	NOUN
fuelectenerg-3144	453	14	.	.	PUNCT
fuelectenerg-3144	454	1	|ψ	|ψ	PROPN
fuelectenerg-3144	454	2	〉	〉	PROPN
fuelectenerg-3144	454	3	|ψ′	|ψ′	PROPN
fuelectenerg-3144	454	4	〉	〉	PROPN
fuelectenerg-3144	454	5	1√	1√	PROPN
fuelectenerg-3144	454	6	2	2	NUM
fuelectenerg-3144	454	7	(	(	PUNCT
fuelectenerg-3144	454	8	|0	|0	NUM
fuelectenerg-3144	454	9	〉	〉	NUM
fuelectenerg-3144	454	10	−	−	PROPN
fuelectenerg-3144	454	11	|1	|1	SYM
fuelectenerg-3144	454	12	〉	〉	NOUN
fuelectenerg-3144	454	13	)	)	PUNCT
fuelectenerg-3144	454	14	f	f	NOUN
fuelectenerg-3144	454	15	(	(	PUNCT
fuelectenerg-3144	454	16	a	a	NOUN
fuelectenerg-3144	454	17	)	)	PUNCT
fuelectenerg-3144	454	18	|ψ	|ψ	PROPN
fuelectenerg-3144	454	19	〉	〉	PROPN
fuelectenerg-3144	454	20	|ψ′	|ψ′	PROPN
fuelectenerg-3144	454	21	〉	〉	PROPN
fuelectenerg-3144	454	22	(	(	PUNCT
fuelectenerg-3144	454	23	b	b	NOUN
fuelectenerg-3144	454	24	)	)	PUNCT
fuelectenerg-3144	454	25	figure	figure	NOUN
fuelectenerg-3144	454	26	6	6	NUM
fuelectenerg-3144	454	27	:	:	PUNCT
fuelectenerg-3144	454	28	(	(	PUNCT
fuelectenerg-3144	454	29	a	a	X
fuelectenerg-3144	454	30	)	)	PUNCT
fuelectenerg-3144	454	31	quantum	quantum	NOUN
fuelectenerg-3144	454	32	oracle	oracle	NOUN
fuelectenerg-3144	454	33	set	set	VERB
fuelectenerg-3144	454	34	up	up	ADP
fuelectenerg-3144	454	35	to	to	PART
fuelectenerg-3144	454	36	perform	perform	VERB
fuelectenerg-3144	454	37	a	a	DET
fuelectenerg-3144	454	38	phase	phase	NOUN
fuelectenerg-3144	454	39	flip	flip	NOUN
fuelectenerg-3144	454	40	;	;	PUNCT
fuelectenerg-3144	454	41	(	(	PUNCT
fuelectenerg-3144	454	42	b	b	X
fuelectenerg-3144	454	43	)	)	PUNCT
fuelectenerg-3144	454	44	amplitudegraph	amplitudegraph	NOUN
fuelectenerg-3144	454	45	visualization	visualization	NOUN
fuelectenerg-3144	454	46	of	of	ADP
fuelectenerg-3144	454	47	the	the	DET
fuelectenerg-3144	454	48	phase	phase	NOUN
fuelectenerg-3144	454	49	flip	flip	NOUN
fuelectenerg-3144	454	50	.	.	PUNCT
fuelectenerg-3144	455	1	refer	refer	VERB
fuelectenerg-3144	455	2	to	to	ADP
fuelectenerg-3144	455	3	this	this	DET
fuelectenerg-3144	455	4	component	component	NOUN
fuelectenerg-3144	455	5	as	as	ADP
fuelectenerg-3144	455	6	the	the	DET
fuelectenerg-3144	455	7	“	"	PUNCT
fuelectenerg-3144	455	8	solution	solution	NOUN
fuelectenerg-3144	455	9	”	"	PUNCT
fuelectenerg-3144	455	10	component	component	NOUN
fuelectenerg-3144	455	11	since	since	SCONJ
fuelectenerg-3144	455	12	it	it	PRON
fuelectenerg-3144	455	13	represents	represent	VERB
fuelectenerg-3144	455	14	the	the	DET
fuelectenerg-3144	455	15	solution	solution	NOUN
fuelectenerg-3144	455	16	to	to	ADP
fuelectenerg-3144	455	17	the	the	DET
fuelectenerg-3144	455	18	satisfaction	satisfaction	NOUN
fuelectenerg-3144	455	19	problem	problem	NOUN
fuelectenerg-3144	455	20	.	.	PUNCT
fuelectenerg-3144	456	1	specifically	specifically	ADV
fuelectenerg-3144	456	2	,	,	PUNCT
fuelectenerg-3144	456	3	one	one	PRON
fuelectenerg-3144	456	4	can	can	AUX
fuelectenerg-3144	456	5	prove	prove	VERB
fuelectenerg-3144	456	6	that	that	SCONJ
fuelectenerg-3144	456	7	if	if	SCONJ
fuelectenerg-3144	456	8	one	one	PRON
fuelectenerg-3144	456	9	supplies	supply	VERB
fuelectenerg-3144	456	10	the	the	DET
fuelectenerg-3144	456	11	state	state	NOUN
fuelectenerg-3144	456	12	1√	1√	PROPN
fuelectenerg-3144	456	13	2	2	NUM
fuelectenerg-3144	456	14	(	(	PUNCT
fuelectenerg-3144	456	15	|0	|0	NUM
fuelectenerg-3144	456	16	〉	〉	NUM
fuelectenerg-3144	456	17	−	−	PROPN
fuelectenerg-3144	456	18	|1	|1	SYM
fuelectenerg-3144	456	19	〉	〉	NOUN
fuelectenerg-3144	456	20	)	)	PUNCT
fuelectenerg-3144	456	21	on	on	ADP
fuelectenerg-3144	456	22	the	the	DET
fuelectenerg-3144	456	23	oracle	oracle	NOUN
fuelectenerg-3144	456	24	’s	’s	PART
fuelectenerg-3144	456	25	output	output	NOUN
fuelectenerg-3144	456	26	qubit	qubit	NOUN
fuelectenerg-3144	456	27	(	(	PUNCT
fuelectenerg-3144	456	28	y	y	NOUN
fuelectenerg-3144	456	29	in	in	ADP
fuelectenerg-3144	456	30	figure	figure	NOUN
fuelectenerg-3144	456	31	5	5	NUM
fuelectenerg-3144	456	32	)	)	PUNCT
fuelectenerg-3144	456	33	and	and	CCONJ
fuelectenerg-3144	456	34	supplies	supply	VERB
fuelectenerg-3144	456	35	any	any	DET
fuelectenerg-3144	456	36	state	state	NOUN
fuelectenerg-3144	456	37	|ψ	|ψ	VERB
fuelectenerg-3144	456	38	〉	〉	NOUN
fuelectenerg-3144	456	39	on	on	ADP
fuelectenerg-3144	456	40	the	the	DET
fuelectenerg-3144	456	41	input	input	NOUN
fuelectenerg-3144	456	42	qubits	qubit	NOUN
fuelectenerg-3144	456	43	,	,	PUNCT
fuelectenerg-3144	456	44	then	then	ADV
fuelectenerg-3144	456	45	the	the	DET
fuelectenerg-3144	456	46	oracle	oracle	NOUN
fuelectenerg-3144	456	47	inverts	invert	VERB
fuelectenerg-3144	456	48	the	the	DET
fuelectenerg-3144	456	49	phase	phase	NOUN
fuelectenerg-3144	456	50	of	of	ADP
fuelectenerg-3144	456	51	the	the	DET
fuelectenerg-3144	456	52	solution	solution	NOUN
fuelectenerg-3144	456	53	component	component	NOUN
fuelectenerg-3144	456	54	of	of	ADP
fuelectenerg-3144	456	55	|ψ	|ψ	PROPN
fuelectenerg-3144	456	56	〉	〉	PROPN
fuelectenerg-3144	456	57	.	.	PUNCT
fuelectenerg-3144	457	1	figure	figure	NOUN
fuelectenerg-3144	457	2	6(a	6(a	NUM
fuelectenerg-3144	457	3	)	)	PUNCT
fuelectenerg-3144	457	4	illustrates	illustrate	VERB
fuelectenerg-3144	457	5	the	the	DET
fuelectenerg-3144	457	6	quantum	quantum	PROPN
fuelectenerg-3144	457	7	circuit	circuit	NOUN
fuelectenerg-3144	457	8	diagram	diagram	NOUN
fuelectenerg-3144	457	9	for	for	ADP
fuelectenerg-3144	457	10	an	an	DET
fuelectenerg-3144	457	11	oracle	oracle	NOUN
fuelectenerg-3144	457	12	set	set	VERB
fuelectenerg-3144	457	13	up	up	ADP
fuelectenerg-3144	457	14	to	to	PART
fuelectenerg-3144	457	15	perform	perform	VERB
fuelectenerg-3144	457	16	the	the	DET
fuelectenerg-3144	457	17	phase	phase	NOUN
fuelectenerg-3144	457	18	inversion	inversion	NOUN
fuelectenerg-3144	457	19	,	,	PUNCT
fuelectenerg-3144	457	20	showing	show	VERB
fuelectenerg-3144	457	21	the	the	DET
fuelectenerg-3144	457	22	output	output	NOUN
fuelectenerg-3144	457	23	qubit	qubit	NOUN
fuelectenerg-3144	457	24	initialized	initialize	VERB
fuelectenerg-3144	457	25	to	to	ADP
fuelectenerg-3144	457	26	1√	1√	PROPN
fuelectenerg-3144	457	27	2	2	NUM
fuelectenerg-3144	457	28	(	(	PUNCT
fuelectenerg-3144	457	29	|0〉−	|0〉−	NUM
fuelectenerg-3144	457	30	|1	|1	SYM
fuelectenerg-3144	457	31	〉	〉	NOUN
fuelectenerg-3144	457	32	)	)	PUNCT
fuelectenerg-3144	457	33	.	.	PUNCT
fuelectenerg-3144	458	1	figure	figure	NOUN
fuelectenerg-3144	458	2	6(b	6(b	NUM
fuelectenerg-3144	458	3	)	)	PUNCT
fuelectenerg-3144	458	4	then	then	ADV
fuelectenerg-3144	458	5	visualizes	visualize	VERB
fuelectenerg-3144	458	6	the	the	DET
fuelectenerg-3144	458	7	initial	initial	ADJ
fuelectenerg-3144	458	8	and	and	CCONJ
fuelectenerg-3144	458	9	final	final	ADJ
fuelectenerg-3144	458	10	states	state	NOUN
fuelectenerg-3144	458	11	,	,	PUNCT
fuelectenerg-3144	458	12	|ψ	|ψ	PROPN
fuelectenerg-3144	458	13	〉	〉	NUM
fuelectenerg-3144	458	14	and	and	CCONJ
fuelectenerg-3144	458	15	|ψ′	|ψ′	PROPN
fuelectenerg-3144	458	16	〉	〉	PROPN
fuelectenerg-3144	458	17	,	,	PUNCT
fuelectenerg-3144	458	18	of	of	ADP
fuelectenerg-3144	458	19	the	the	DET
fuelectenerg-3144	458	20	oracle	oracle	NOUN
fuelectenerg-3144	458	21	’s	’s	PART
fuelectenerg-3144	458	22	input	input	NOUN
fuelectenerg-3144	458	23	qubits	qubit	NOUN
fuelectenerg-3144	458	24	by	by	ADP
fuelectenerg-3144	458	25	plotting	plot	VERB
fuelectenerg-3144	458	26	their	their	PRON
fuelectenerg-3144	458	27	component	component	NOUN
fuelectenerg-3144	458	28	amplitudes	amplitude	NOUN
fuelectenerg-3144	458	29	.	.	PUNCT
fuelectenerg-3144	459	1	in	in	ADP
fuelectenerg-3144	459	2	other	other	ADJ
fuelectenerg-3144	459	3	words	word	NOUN
fuelectenerg-3144	459	4	,	,	PUNCT
fuelectenerg-3144	459	5	given	give	VERB
fuelectenerg-3144	459	6	the	the	DET
fuelectenerg-3144	459	7	state	state	NOUN
fuelectenerg-3144	459	8	|ψ	|ψ	PROPN
fuelectenerg-3144	459	9	〉	〉	PROPN
fuelectenerg-3144	459	10	(	(	PUNCT
fuelectenerg-3144	459	11	or	or	CCONJ
fuelectenerg-3144	459	12	|ψ′	|ψ′	PROPN
fuelectenerg-3144	459	13	〉	〉	PROPN
fuelectenerg-3144	459	14	)	)	PUNCT
fuelectenerg-3144	459	15	expressed	express	VERB
fuelectenerg-3144	459	16	as	as	ADP
fuelectenerg-3144	459	17	a	a	DET
fuelectenerg-3144	459	18	sum	sum	NOUN
fuelectenerg-3144	459	19	of	of	ADP
fuelectenerg-3144	459	20	components	component	NOUN
fuelectenerg-3144	459	21	,	,	PUNCT
fuelectenerg-3144	459	22	|ψ	|ψ	PRON
fuelectenerg-3144	459	23	〉	〉	NOUN
fuelectenerg-3144	459	24	=	=	SYM
fuelectenerg-3144	459	25	n−1∑	n−1∑	PROPN
fuelectenerg-3144	459	26	i=0	i=0	PROPN
fuelectenerg-3144	459	27	ai|i	ai|i	NOUN
fuelectenerg-3144	459	28	〉	〉	PROPN
fuelectenerg-3144	459	29	,	,	PUNCT
fuelectenerg-3144	459	30	the	the	DET
fuelectenerg-3144	459	31	graphs	graph	NOUN
fuelectenerg-3144	459	32	plot	plot	NOUN
fuelectenerg-3144	459	33	ai	ai	VERB
fuelectenerg-3144	459	34	against	against	ADP
fuelectenerg-3144	459	35	i.	i.	PROPN
fuelectenerg-3144	459	36	comparison	comparison	NOUN
fuelectenerg-3144	459	37	between	between	ADP
fuelectenerg-3144	459	38	|ψ	|ψ	PROPN
fuelectenerg-3144	459	39	〉	〉	PROPN
fuelectenerg-3144	459	40	and	and	CCONJ
fuelectenerg-3144	459	41	|ψ′	|ψ′	PROPN
fuelectenerg-3144	459	42	〉	〉	PROPN
fuelectenerg-3144	459	43	shows	show	VERB
fuelectenerg-3144	459	44	that	that	SCONJ
fuelectenerg-3144	459	45	the	the	DET
fuelectenerg-3144	459	46	phase	phase	NOUN
fuelectenerg-3144	459	47	of	of	ADP
fuelectenerg-3144	459	48	a	a	DET
fuelectenerg-3144	459	49	single	single	ADJ
fuelectenerg-3144	459	50	component	component	NOUN
fuelectenerg-3144	459	51	(	(	PUNCT
fuelectenerg-3144	459	52	the	the	DET
fuelectenerg-3144	459	53	solution	solution	NOUN
fuelectenerg-3144	459	54	component	component	NOUN
fuelectenerg-3144	459	55	)	)	PUNCT
fuelectenerg-3144	459	56	has	have	AUX
fuelectenerg-3144	459	57	been	be	AUX
fuelectenerg-3144	459	58	inverted	invert	VERB
fuelectenerg-3144	459	59	.	.	PUNCT
fuelectenerg-3144	460	1	we	we	PRON
fuelectenerg-3144	460	2	observe	observe	VERB
fuelectenerg-3144	460	3	that	that	SCONJ
fuelectenerg-3144	460	4	the	the	DET
fuelectenerg-3144	460	5	phase	phase	NOUN
fuelectenerg-3144	460	6	inversion	inversion	NOUN
fuelectenerg-3144	460	7	can	can	AUX
fuelectenerg-3144	460	8	be	be	AUX
fuelectenerg-3144	460	9	interpreted	interpret	VERB
fuelectenerg-3144	460	10	to	to	PART
fuelectenerg-3144	460	11	mean	mean	VERB
fuelectenerg-3144	460	12	that	that	SCONJ
fuelectenerg-3144	460	13	the	the	DET
fuelectenerg-3144	460	14	oracle	oracle	NOUN
fuelectenerg-3144	460	15	in	in	ADP
fuelectenerg-3144	460	16	a	a	DET
fuelectenerg-3144	460	17	sense	sense	NOUN
fuelectenerg-3144	460	18	evaluates	evaluate	VERB
fuelectenerg-3144	460	19	the	the	DET
fuelectenerg-3144	460	20	function	function	NOUN
fuelectenerg-3144	460	21	f	f	PROPN
fuelectenerg-3144	460	22	simultaneously	simultaneously	ADV
fuelectenerg-3144	460	23	for	for	ADP
fuelectenerg-3144	460	24	all	all	DET
fuelectenerg-3144	460	25	possible	possible	ADJ
fuelectenerg-3144	460	26	inputs	input	NOUN
fuelectenerg-3144	460	27	and	and	CCONJ
fuelectenerg-3144	460	28	finds	find	VERB
fuelectenerg-3144	460	29	the	the	DET
fuelectenerg-3144	460	30	solution	solution	NOUN
fuelectenerg-3144	460	31	immediately	immediately	ADV
fuelectenerg-3144	460	32	.	.	PUNCT
fuelectenerg-3144	461	1	unfortunately	unfortunately	ADV
fuelectenerg-3144	461	2	,	,	PUNCT
fuelectenerg-3144	461	3	the	the	DET
fuelectenerg-3144	461	4	so12	so12	PROPN
fuelectenerg-3144	461	5	h	h	NOUN
fuelectenerg-3144	461	6	h	h	NOUN
fuelectenerg-3144	461	7	h	h	NOUN
fuelectenerg-3144	461	8	h	h	NOUN
fuelectenerg-3144	462	1	h	h	NOUN
fuelectenerg-3144	462	2	h	h	NOUN
fuelectenerg-3144	462	3	h	h	PROPN
fuelectenerg-3144	462	4	h	h	PROPN
fuelectenerg-3144	462	5	z|ψ	z|ψ	PROPN
fuelectenerg-3144	462	6	〉	〉	PROPN
fuelectenerg-3144	462	7	|ψ′	|ψ′	PROPN
fuelectenerg-3144	462	8	〉	〉	PROPN
fuelectenerg-3144	462	9	(	(	PUNCT
fuelectenerg-3144	462	10	a	a	NOUN
fuelectenerg-3144	462	11	)	)	PUNCT
fuelectenerg-3144	462	12	|ψ	|ψ	PROPN
fuelectenerg-3144	462	13	〉	〉	PROPN
fuelectenerg-3144	462	14	µ	µ	PROPN
fuelectenerg-3144	462	15	|ψ′	|ψ′	PROPN
fuelectenerg-3144	462	16	〉	〉	PROPN
fuelectenerg-3144	462	17	µ	µ	PROPN
fuelectenerg-3144	462	18	(	(	PUNCT
fuelectenerg-3144	462	19	b	b	NOUN
fuelectenerg-3144	462	20	)	)	PUNCT
fuelectenerg-3144	462	21	figure	figure	NOUN
fuelectenerg-3144	462	22	7	7	NUM
fuelectenerg-3144	462	23	:	:	PUNCT
fuelectenerg-3144	462	24	(	(	PUNCT
fuelectenerg-3144	462	25	a	a	X
fuelectenerg-3144	462	26	)	)	PUNCT
fuelectenerg-3144	462	27	circuit	circuit	NOUN
fuelectenerg-3144	462	28	to	to	PART
fuelectenerg-3144	462	29	perform	perform	VERB
fuelectenerg-3144	462	30	inversion	inversion	NOUN
fuelectenerg-3144	462	31	about	about	ADP
fuelectenerg-3144	462	32	the	the	DET
fuelectenerg-3144	462	33	mean	mean	NOUN
fuelectenerg-3144	462	34	;	;	PUNCT
fuelectenerg-3144	462	35	(	(	PUNCT
fuelectenerg-3144	462	36	b	b	X
fuelectenerg-3144	462	37	)	)	PUNCT
fuelectenerg-3144	462	38	amplitude	amplitude	NOUN
fuelectenerg-3144	462	39	-	-	PUNCT
fuelectenerg-3144	462	40	graph	graph	NOUN
fuelectenerg-3144	462	41	visualization	visualization	NOUN
fuelectenerg-3144	462	42	.	.	PUNCT
fuelectenerg-3144	463	1	lution	lution	PROPN
fuelectenerg-3144	463	2	is	be	AUX
fuelectenerg-3144	463	3	encoded	encode	VERB
fuelectenerg-3144	463	4	as	as	ADP
fuelectenerg-3144	463	5	a	a	DET
fuelectenerg-3144	463	6	phase	phase	NOUN
fuelectenerg-3144	463	7	variation	variation	NOUN
fuelectenerg-3144	463	8	which	which	PRON
fuelectenerg-3144	463	9	is	be	AUX
fuelectenerg-3144	463	10	not	not	PART
fuelectenerg-3144	463	11	directly	directly	ADV
fuelectenerg-3144	463	12	observable	observable	ADJ
fuelectenerg-3144	463	13	.	.	PUNCT
fuelectenerg-3144	464	1	this	this	DET
fuelectenerg-3144	464	2	problem	problem	NOUN
fuelectenerg-3144	464	3	is	be	AUX
fuelectenerg-3144	464	4	solved	solve	VERB
fuelectenerg-3144	464	5	by	by	ADP
fuelectenerg-3144	464	6	the	the	DET
fuelectenerg-3144	464	7	second	second	ADJ
fuelectenerg-3144	464	8	part	part	NOUN
fuelectenerg-3144	464	9	of	of	ADP
fuelectenerg-3144	464	10	grover	grover	PROPN
fuelectenerg-3144	464	11	’s	’s	PART
fuelectenerg-3144	464	12	algorithm	algorithm	NOUN
fuelectenerg-3144	464	13	—	—	PUNCT
fuelectenerg-3144	464	14	the	the	DET
fuelectenerg-3144	464	15	amplitude	amplitude	NOUN
fuelectenerg-3144	464	16	amplification	amplification	NOUN
fuelectenerg-3144	464	17	procedure	procedure	NOUN
fuelectenerg-3144	464	18	,	,	PUNCT
fuelectenerg-3144	464	19	which	which	PRON
fuelectenerg-3144	464	20	converts	convert	VERB
fuelectenerg-3144	464	21	this	this	DET
fuelectenerg-3144	464	22	phase	phase	NOUN
fuelectenerg-3144	464	23	difference	difference	NOUN
fuelectenerg-3144	464	24	into	into	ADP
fuelectenerg-3144	464	25	a	a	DET
fuelectenerg-3144	464	26	measurable	measurable	ADJ
fuelectenerg-3144	464	27	amplitude	amplitude	NOUN
fuelectenerg-3144	464	28	difference	difference	NOUN
fuelectenerg-3144	464	29	.	.	PUNCT
fuelectenerg-3144	465	1	this	this	DET
fuelectenerg-3144	465	2	procedure	procedure	NOUN
fuelectenerg-3144	465	3	is	be	AUX
fuelectenerg-3144	465	4	seen	see	VERB
fuelectenerg-3144	465	5	on	on	ADP
fuelectenerg-3144	465	6	the	the	DET
fuelectenerg-3144	465	7	righthand	righthand	NOUN
fuelectenerg-3144	465	8	side	side	NOUN
fuelectenerg-3144	465	9	of	of	ADP
fuelectenerg-3144	465	10	figure	figure	NOUN
fuelectenerg-3144	465	11	4	4	NUM
fuelectenerg-3144	465	12	and	and	CCONJ
fuelectenerg-3144	465	13	involves	involve	VERB
fuelectenerg-3144	465	14	the	the	DET
fuelectenerg-3144	465	15	hadamard	hadamard	NOUN
fuelectenerg-3144	465	16	gates	gate	NOUN
fuelectenerg-3144	465	17	together	together	ADV
fuelectenerg-3144	465	18	with	with	ADP
fuelectenerg-3144	465	19	the	the	DET
fuelectenerg-3144	465	20	zero	zero	NUM
fuelectenerg-3144	465	21	-	-	PUNCT
fuelectenerg-3144	465	22	state	state	NOUN
fuelectenerg-3144	465	23	phase	phase	NOUN
fuelectenerg-3144	465	24	shift	shift	NOUN
fuelectenerg-3144	465	25	z.	z.	PROPN
fuelectenerg-3144	466	1	the	the	DET
fuelectenerg-3144	466	2	zero	zero	NUM
fuelectenerg-3144	466	3	-	-	PUNCT
fuelectenerg-3144	466	4	state	state	NOUN
fuelectenerg-3144	466	5	phase	phase	NOUN
fuelectenerg-3144	466	6	shift	shift	NOUN
fuelectenerg-3144	466	7	is	be	AUX
fuelectenerg-3144	466	8	defined	define	VERB
fuelectenerg-3144	466	9	to	to	PART
fuelectenerg-3144	466	10	invert	invert	VERB
fuelectenerg-3144	466	11	the	the	DET
fuelectenerg-3144	466	12	phase	phase	NOUN
fuelectenerg-3144	466	13	of	of	ADP
fuelectenerg-3144	466	14	the	the	DET
fuelectenerg-3144	466	15	|0	|0	NUM
fuelectenerg-3144	466	16	〉	〉	PROPN
fuelectenerg-3144	466	17	component	component	NOUN
fuelectenerg-3144	466	18	of	of	ADP
fuelectenerg-3144	466	19	any	any	DET
fuelectenerg-3144	466	20	quantum	quantum	ADJ
fuelectenerg-3144	466	21	state	state	NOUN
fuelectenerg-3144	466	22	on	on	ADP
fuelectenerg-3144	466	23	which	which	PRON
fuelectenerg-3144	466	24	it	it	PRON
fuelectenerg-3144	466	25	acts	act	VERB
fuelectenerg-3144	466	26	.	.	PUNCT
fuelectenerg-3144	467	1	one	one	PRON
fuelectenerg-3144	467	2	can	can	AUX
fuelectenerg-3144	467	3	prove	prove	VERB
fuelectenerg-3144	467	4	that	that	SCONJ
fuelectenerg-3144	467	5	when	when	SCONJ
fuelectenerg-3144	467	6	hadamard	hadamard	ADJ
fuelectenerg-3144	467	7	gates	gate	NOUN
fuelectenerg-3144	467	8	are	be	AUX
fuelectenerg-3144	467	9	applied	apply	VERB
fuelectenerg-3144	467	10	before	before	ADP
fuelectenerg-3144	467	11	and	and	CCONJ
fuelectenerg-3144	467	12	after	after	ADP
fuelectenerg-3144	467	13	a	a	DET
fuelectenerg-3144	467	14	zero	zero	NUM
fuelectenerg-3144	467	15	-	-	PUNCT
fuelectenerg-3144	467	16	state	state	NOUN
fuelectenerg-3144	467	17	phase	phase	NOUN
fuelectenerg-3144	467	18	shift	shift	NOUN
fuelectenerg-3144	467	19	as	as	SCONJ
fuelectenerg-3144	467	20	shown	show	VERB
fuelectenerg-3144	467	21	in	in	ADP
fuelectenerg-3144	467	22	figure	figure	NOUN
fuelectenerg-3144	467	23	4	4	NUM
fuelectenerg-3144	467	24	,	,	PUNCT
fuelectenerg-3144	467	25	the	the	DET
fuelectenerg-3144	467	26	result	result	NOUN
fuelectenerg-3144	467	27	is	be	AUX
fuelectenerg-3144	467	28	an	an	DET
fuelectenerg-3144	467	29	inversion	inversion	NOUN
fuelectenerg-3144	467	30	about	about	ADP
fuelectenerg-3144	467	31	the	the	DET
fuelectenerg-3144	467	32	mean	mean	NOUN
fuelectenerg-3144	467	33	,	,	PUNCT
fuelectenerg-3144	467	34	defined	define	VERB
fuelectenerg-3144	467	35	as	as	SCONJ
fuelectenerg-3144	467	36	follows	follow	VERB
fuelectenerg-3144	467	37	:	:	PUNCT
fuelectenerg-3144	467	38	if	if	SCONJ
fuelectenerg-3144	467	39	µ	µ	PRON
fuelectenerg-3144	467	40	denotes	denote	VERB
fuelectenerg-3144	467	41	the	the	DET
fuelectenerg-3144	467	42	mean	mean	ADJ
fuelectenerg-3144	467	43	amplitude	amplitude	NOUN
fuelectenerg-3144	467	44	of	of	ADP
fuelectenerg-3144	467	45	the	the	DET
fuelectenerg-3144	467	46	components	component	NOUN
fuelectenerg-3144	467	47	of	of	ADP
fuelectenerg-3144	467	48	a	a	DET
fuelectenerg-3144	467	49	quantum	quantum	ADJ
fuelectenerg-3144	467	50	state	state	NOUN
fuelectenerg-3144	467	51	,	,	PUNCT
fuelectenerg-3144	467	52	then	then	ADV
fuelectenerg-3144	467	53	under	under	ADP
fuelectenerg-3144	467	54	an	an	DET
fuelectenerg-3144	467	55	inversion	inversion	NOUN
fuelectenerg-3144	467	56	about	about	ADP
fuelectenerg-3144	467	57	the	the	DET
fuelectenerg-3144	467	58	mean	mean	NOUN
fuelectenerg-3144	467	59	,	,	PUNCT
fuelectenerg-3144	467	60	each	each	DET
fuelectenerg-3144	467	61	component	component	NOUN
fuelectenerg-3144	467	62	’s	’s	PART
fuelectenerg-3144	467	63	amplitude	amplitude	NOUN
fuelectenerg-3144	467	64	becomes	become	VERB
fuelectenerg-3144	467	65	2µ−	2µ−	NUM
fuelectenerg-3144	467	66	a	a	DET
fuelectenerg-3144	467	67	where	where	SCONJ
fuelectenerg-3144	467	68	a	a	PRON
fuelectenerg-3144	467	69	is	be	AUX
fuelectenerg-3144	467	70	the	the	DET
fuelectenerg-3144	467	71	component	component	NOUN
fuelectenerg-3144	467	72	’s	’s	PART
fuelectenerg-3144	467	73	prior	prior	ADJ
fuelectenerg-3144	467	74	amplitude	amplitude	NOUN
fuelectenerg-3144	467	75	.	.	PUNCT
fuelectenerg-3144	468	1	this	this	DET
fuelectenerg-3144	468	2	transformation	transformation	NOUN
fuelectenerg-3144	468	3	is	be	AUX
fuelectenerg-3144	468	4	mathematically	mathematically	ADV
fuelectenerg-3144	468	5	represented	represent	VERB
fuelectenerg-3144	468	6	by	by	ADP
fuelectenerg-3144	468	7	the	the	DET
fuelectenerg-3144	468	8	following	follow	VERB
fuelectenerg-3144	468	9	equation	equation	NOUN
fuelectenerg-3144	468	10	:	:	PUNCT
fuelectenerg-3144	468	11	hzh	hzh	VERB
fuelectenerg-3144	468	12	(	(	PUNCT
fuelectenerg-3144	468	13	n−1∑	n−1∑	PROPN
fuelectenerg-3144	468	14	i=0	i=0	PROPN
fuelectenerg-3144	468	15	ai|i	ai|i	NOUN
fuelectenerg-3144	468	16	〉	〉	NOUN
fuelectenerg-3144	468	17	)	)	PUNCT
fuelectenerg-3144	469	1	=	=	SYM
fuelectenerg-3144	470	1	n−1∑	n−1∑	PROPN
fuelectenerg-3144	470	2	i=0	i=0	PROPN
fuelectenerg-3144	470	3	(	(	PUNCT
fuelectenerg-3144	470	4	2µ−	2µ−	NUM
fuelectenerg-3144	470	5	ai)|i	ai)|i	NOUN
fuelectenerg-3144	470	6	〉	〉	PROPN
fuelectenerg-3144	470	7	,	,	PUNCT
fuelectenerg-3144	470	8	where	where	SCONJ
fuelectenerg-3144	470	9	hzh	hzh	PROPN
fuelectenerg-3144	470	10	denotes	denote	VERB
fuelectenerg-3144	470	11	the	the	DET
fuelectenerg-3144	470	12	aforementioned	aforementioned	ADJ
fuelectenerg-3144	470	13	combination	combination	NOUN
fuelectenerg-3144	470	14	of	of	ADP
fuelectenerg-3144	470	15	hadamard	hadamard	ADJ
fuelectenerg-3144	470	16	gates	gate	NOUN
fuelectenerg-3144	470	17	and	and	CCONJ
fuelectenerg-3144	470	18	the	the	DET
fuelectenerg-3144	470	19	zero	zero	NUM
fuelectenerg-3144	470	20	-	-	PUNCT
fuelectenerg-3144	470	21	state	state	NOUN
fuelectenerg-3144	470	22	phase	phase	NOUN
fuelectenerg-3144	470	23	shift	shift	NOUN
fuelectenerg-3144	470	24	.	.	PUNCT
fuelectenerg-3144	471	1	figure	figure	NOUN
fuelectenerg-3144	471	2	7	7	NUM
fuelectenerg-3144	471	3	depicts	depict	VERB
fuelectenerg-3144	471	4	the	the	DET
fuelectenerg-3144	471	5	effect	effect	NOUN
fuelectenerg-3144	471	6	of	of	ADP
fuelectenerg-3144	471	7	inversion	inversion	NOUN
fuelectenerg-3144	471	8	about	about	ADP
fuelectenerg-3144	471	9	the	the	DET
fuelectenerg-3144	471	10	mean	mean	NOUN
fuelectenerg-3144	471	11	when	when	SCONJ
fuelectenerg-3144	471	12	applied	apply	VERB
fuelectenerg-3144	471	13	immediately	immediately	ADV
fuelectenerg-3144	471	14	following	follow	VERB
fuelectenerg-3144	471	15	the	the	DET
fuelectenerg-3144	471	16	quantum	quantum	ADJ
fuelectenerg-3144	471	17	oracle	oracle	NOUN
fuelectenerg-3144	471	18	.	.	PUNCT
fuelectenerg-3144	472	1	figure	figure	NOUN
fuelectenerg-3144	472	2	7(a	7(a	NUM
fuelectenerg-3144	472	3	)	)	PUNCT
fuelectenerg-3144	472	4	shows	show	VERB
fuelectenerg-3144	472	5	the	the	DET
fuelectenerg-3144	472	6	portion	portion	NOUN
fuelectenerg-3144	472	7	of	of	ADP
fuelectenerg-3144	472	8	the	the	DET
fuelectenerg-3144	472	9	grover	grover	NOUN
fuelectenerg-3144	472	10	iterate	iterate	NOUN
fuelectenerg-3144	472	11	g	g	PROPN
fuelectenerg-3144	473	1	(	(	PUNCT
fuelectenerg-3144	473	2	from	from	ADP
fuelectenerg-3144	473	3	figures	figure	NOUN
fuelectenerg-3144	473	4	3	3	NUM
fuelectenerg-3144	473	5	and	and	CCONJ
fuelectenerg-3144	473	6	4	4	NUM
fuelectenerg-3144	473	7	)	)	PUNCT
fuelectenerg-3144	473	8	that	that	PRON
fuelectenerg-3144	473	9	performs	perform	VERB
fuelectenerg-3144	473	10	inversion	inversion	NOUN
fuelectenerg-3144	473	11	about	about	ADP
fuelectenerg-3144	473	12	the	the	DET
fuelectenerg-3144	473	13	mean	mean	NOUN
fuelectenerg-3144	473	14	.	.	PUNCT
fuelectenerg-3144	474	1	figure	figure	NOUN
fuelectenerg-3144	474	2	7(b	7(b	NUM
fuelectenerg-3144	474	3	)	)	PUNCT
fuelectenerg-3144	474	4	then	then	ADV
fuelectenerg-3144	474	5	visualizes	visualize	VERB
fuelectenerg-3144	474	6	the	the	DET
fuelectenerg-3144	474	7	initial	initial	ADJ
fuelectenerg-3144	474	8	and	and	CCONJ
fuelectenerg-3144	474	9	final	final	ADJ
fuelectenerg-3144	474	10	quantum	quantum	ADJ
fuelectenerg-3144	474	11	states	state	NOUN
fuelectenerg-3144	474	12	in	in	ADP
fuelectenerg-3144	474	13	the	the	DET
fuelectenerg-3144	474	14	same	same	ADJ
fuelectenerg-3144	474	15	manner	manner	NOUN
fuelectenerg-3144	474	16	as	as	ADP
fuelectenerg-3144	474	17	figure	figure	NOUN
fuelectenerg-3144	474	18	6	6	NUM
fuelectenerg-3144	474	19	.	.	PUNCT
fuelectenerg-3144	475	1	we	we	PRON
fuelectenerg-3144	475	2	see	see	VERB
fuelectenerg-3144	475	3	that	that	SCONJ
fuelectenerg-3144	475	4	following	follow	VERB
fuelectenerg-3144	475	5	inversion	inversion	NOUN
fuelectenerg-3144	475	6	about	about	ADP
fuelectenerg-3144	475	7	the	the	DET
fuelectenerg-3144	475	8	mean	mean	NOUN
fuelectenerg-3144	475	9	,	,	PUNCT
fuelectenerg-3144	475	10	the	the	DET
fuelectenerg-3144	475	11	amplitudes	amplitude	NOUN
fuelectenerg-3144	475	12	of	of	ADP
fuelectenerg-3144	475	13	the	the	DET
fuelectenerg-3144	475	14	solution	solution	NOUN
fuelectenerg-3144	475	15	component	component	NOUN
fuelectenerg-3144	475	16	has	have	AUX
fuelectenerg-3144	475	17	increased	increase	VERB
fuelectenerg-3144	475	18	while	while	SCONJ
fuelectenerg-3144	475	19	those	those	PRON
fuelectenerg-3144	475	20	of	of	ADP
fuelectenerg-3144	475	21	all	all	DET
fuelectenerg-3144	475	22	other	other	ADJ
fuelectenerg-3144	475	23	components	component	NOUN
fuelectenerg-3144	475	24	have	have	AUX
fuelectenerg-3144	475	25	decreased	decrease	VERB
fuelectenerg-3144	475	26	.	.	PUNCT
fuelectenerg-3144	476	1	successive	successive	ADJ
fuelectenerg-3144	476	2	application	application	NOUN
fuelectenerg-3144	476	3	of	of	ADP
fuelectenerg-3144	476	4	the	the	DET
fuelectenerg-3144	476	5	grover	grover	NOUN
fuelectenerg-3144	476	6	iterate	iterate	NOUN
fuelectenerg-3144	476	7	similarly	similarly	ADV
fuelectenerg-3144	476	8	increases	increase	VERB
fuelectenerg-3144	476	9	the	the	DET
fuelectenerg-3144	476	10	amplitude	amplitude	NOUN
fuelectenerg-3144	476	11	of	of	ADP
fuelectenerg-3144	476	12	the	the	DET
fuelectenerg-3144	476	13	solution	solution	NOUN
fuelectenerg-3144	476	14	component	component	NOUN
fuelectenerg-3144	476	15	further	far	ADV
fuelectenerg-3144	476	16	.	.	PUNCT
fuelectenerg-3144	477	1	after	after	ADP
fuelectenerg-3144	477	2	enough	enough	ADJ
fuelectenerg-3144	477	3	iterations	iteration	NOUN
fuelectenerg-3144	477	4	,	,	PUNCT
fuelectenerg-3144	477	5	the	the	DET
fuelectenerg-3144	477	6	superposition	superposition	NOUN
fuelectenerg-3144	477	7	consists	consist	VERB
fuelectenerg-3144	477	8	entirely	entirely	ADV
fuelectenerg-3144	477	9	or	or	CCONJ
fuelectenerg-3144	477	10	nearly	nearly	ADV
fuelectenerg-3144	477	11	entirely	entirely	ADV
fuelectenerg-3144	477	12	of	of	ADP
fuelectenerg-3144	477	13	only	only	ADV
fuelectenerg-3144	477	14	the	the	DET
fuelectenerg-3144	477	15	solution	solution	NOUN
fuelectenerg-3144	477	16	component	component	NOUN
fuelectenerg-3144	477	17	.	.	PUNCT
fuelectenerg-3144	478	1	specifically	specifically	ADV
fuelectenerg-3144	478	2	,	,	PUNCT
fuelectenerg-3144	478	3	one	one	PRON
fuelectenerg-3144	478	4	can	can	AUX
fuelectenerg-3144	478	5	prove	prove	VERB
fuelectenerg-3144	478	6	that	that	SCONJ
fuelectenerg-3144	478	7	the	the	DET
fuelectenerg-3144	478	8	number	number	NOUN
fuelectenerg-3144	478	9	of	of	ADP
fuelectenerg-3144	478	10	iterations	iteration	NOUN
fuelectenerg-3144	478	11	required	require	VERB
fuelectenerg-3144	478	12	is	be	AUX
fuelectenerg-3144	478	13	on	on	ADP
fuelectenerg-3144	478	14	the	the	DET
fuelectenerg-3144	478	15	order	order	NOUN
fuelectenerg-3144	478	16	of√	of√	PUNCT
fuelectenerg-3144	479	1	n	n	CCONJ
fuelectenerg-3144	479	2	,	,	PUNCT
fuelectenerg-3144	479	3	where	where	SCONJ
fuelectenerg-3144	479	4	n	n	PRON
fuelectenerg-3144	479	5	is	be	AUX
fuelectenerg-3144	479	6	the	the	DET
fuelectenerg-3144	479	7	total	total	ADJ
fuelectenerg-3144	479	8	number	number	NOUN
fuelectenerg-3144	479	9	of	of	ADP
fuelectenerg-3144	479	10	components	component	NOUN
fuelectenerg-3144	479	11	(	(	PUNCT
fuelectenerg-3144	479	12	i.e.	i.e.	X
fuelectenerg-3144	479	13	,	,	PUNCT
fuelectenerg-3144	479	14	the	the	DET
fuelectenerg-3144	479	15	number	number	NOUN
fuelectenerg-3144	479	16	of	of	ADP
fuelectenerg-3144	479	17	possible	possible	ADJ
fuelectenerg-3144	479	18	assignments	assignment	NOUN
fuelectenerg-3144	479	19	of	of	ADP
fuelectenerg-3144	479	20	values	value	NOUN
fuelectenerg-3144	479	21	to	to	ADP
fuelectenerg-3144	479	22	variables	variable	NOUN
fuelectenerg-3144	479	23	)	)	PUNCT
fuelectenerg-3144	479	24	.	.	PUNCT
fuelectenerg-3144	480	1	then	then	ADV
fuelectenerg-3144	480	2	,	,	PUNCT
fuelectenerg-3144	480	3	a	a	DET
fuelectenerg-3144	480	4	measurement	measurement	NOUN
fuelectenerg-3144	480	5	gives	give	VERB
fuelectenerg-3144	480	6	(	(	PUNCT
fuelectenerg-3144	480	7	with	with	ADP
fuelectenerg-3144	480	8	near	near	ADP
fuelectenerg-3144	480	9	certainty	certainty	NOUN
fuelectenerg-3144	480	10	)	)	PUNCT
fuelectenerg-3144	480	11	a	a	DET
fuelectenerg-3144	480	12	variable	variable	ADJ
fuelectenerg-3144	480	13	assignment	assignment	NOUN
fuelectenerg-3144	480	14	satisfying	satisfy	VERB
fuelectenerg-3144	480	15	the	the	DET
fuelectenerg-3144	480	16	function	function	NOUN
fuelectenerg-3144	480	17	f	f	PROPN
fuelectenerg-3144	480	18	.	.	PUNCT
fuelectenerg-3144	481	1	since	since	SCONJ
fuelectenerg-3144	481	2	we	we	PRON
fuelectenerg-3144	481	3	assume	assume	VERB
fuelectenerg-3144	481	4	that	that	SCONJ
fuelectenerg-3144	481	5	nothing	nothing	PRON
fuelectenerg-3144	481	6	is	be	AUX
fuelectenerg-3144	481	7	known	know	VERB
fuelectenerg-3144	481	8	in	in	ADP
fuelectenerg-3144	481	9	advance	advance	NOUN
fuelectenerg-3144	481	10	about	about	ADP
fuelectenerg-3144	481	11	the	the	DET
fuelectenerg-3144	481	12	function	function	NOUN
fuelectenerg-3144	481	13	f	f	PROPN
fuelectenerg-3144	481	14	,	,	PUNCT
fuelectenerg-3144	481	15	the	the	DET
fuelectenerg-3144	481	16	just	just	ADV
fuelectenerg-3144	481	17	-	-	PUNCT
fuelectenerg-3144	481	18	described	describe	VERB
fuelectenerg-3144	481	19	amplitude	amplitude	NOUN
fuelectenerg-3144	481	20	amplification	amplification	NOUN
fuelectenerg-3144	481	21	procedure	procedure	NOUN
fuelectenerg-3144	481	22	should	should	AUX
fuelectenerg-3144	481	23	begin	begin	VERB
fuelectenerg-3144	481	24	with	with	ADP
fuelectenerg-3144	481	25	a	a	DET
fuelectenerg-3144	481	26	superposition	superposition	NOUN
fuelectenerg-3144	481	27	of	of	ADP
fuelectenerg-3144	481	28	all	all	DET
fuelectenerg-3144	481	29	possible	possible	ADJ
fuelectenerg-3144	481	30	variable	variable	ADJ
fuelectenerg-3144	481	31	assignments	assignment	NOUN
fuelectenerg-3144	481	32	,	,	PUNCT
fuelectenerg-3144	481	33	as	as	SCONJ
fuelectenerg-3144	481	34	any	any	PRON
fuelectenerg-3144	481	35	of	of	ADP
fuelectenerg-3144	481	36	them	they	PRON
fuelectenerg-3144	481	37	could	could	AUX
fuelectenerg-3144	481	38	13	13	NUM
fuelectenerg-3144	481	39	180	180	NUM
fuelectenerg-3144	481	40	e.	e.	PROPN
fuelectenerg-3144	481	41	tsai	tsai	PROPN
fuelectenerg-3144	481	42	,	,	PUNCT
fuelectenerg-3144	481	43	m.	m.	PROPN
fuelectenerg-3144	481	44	perkowski	perkowski	PROPN
fuelectenerg-3144	481	45	a	a	DET
fuelectenerg-3144	481	46	quantum	quantum	ADJ
fuelectenerg-3144	481	47	algorithm	algorithm	NOUN
fuelectenerg-3144	481	48	for	for	ADP
fuelectenerg-3144	481	49	automata	automata	NOUN
fuelectenerg-3144	481	50	encoding	encode	VERB
fuelectenerg-3144	481	51	181	181	NUM
fuelectenerg-3144	481	52	potentially	potentially	ADV
fuelectenerg-3144	481	53	satisfy	satisfy	ADJ
fuelectenerg-3144	481	54	f	f	PROPN
fuelectenerg-3144	481	55	.	.	PUNCT
fuelectenerg-3144	482	1	therefore	therefore	ADV
fuelectenerg-3144	482	2	,	,	PUNCT
fuelectenerg-3144	482	3	before	before	ADP
fuelectenerg-3144	482	4	performing	perform	VERB
fuelectenerg-3144	482	5	the	the	DET
fuelectenerg-3144	482	6	amplitude	amplitude	NOUN
fuelectenerg-3144	482	7	amplification	amplification	NOUN
fuelectenerg-3144	482	8	procedure	procedure	NOUN
fuelectenerg-3144	482	9	,	,	PUNCT
fuelectenerg-3144	482	10	grover	grover	PROPN
fuelectenerg-3144	482	11	’s	’s	PART
fuelectenerg-3144	482	12	algorithm	algorithm	NOUN
fuelectenerg-3144	482	13	first	first	ADV
fuelectenerg-3144	482	14	initializes	initialize	VERB
fuelectenerg-3144	482	15	the	the	DET
fuelectenerg-3144	482	16	qubits	qubit	NOUN
fuelectenerg-3144	482	17	that	that	PRON
fuelectenerg-3144	482	18	will	will	AUX
fuelectenerg-3144	482	19	serve	serve	VERB
fuelectenerg-3144	482	20	as	as	ADP
fuelectenerg-3144	482	21	inputs	input	NOUN
fuelectenerg-3144	482	22	to	to	ADP
fuelectenerg-3144	482	23	the	the	DET
fuelectenerg-3144	482	24	quantum	quantum	NOUN
fuelectenerg-3144	482	25	oracle	oracle	NOUN
fuelectenerg-3144	482	26	,	,	PUNCT
fuelectenerg-3144	482	27	x1	x1	PROPN
fuelectenerg-3144	482	28	through	through	ADP
fuelectenerg-3144	482	29	xn	xn	PROPN
fuelectenerg-3144	482	30	,	,	PUNCT
fuelectenerg-3144	482	31	to	to	ADP
fuelectenerg-3144	482	32	a	a	DET
fuelectenerg-3144	482	33	superposition	superposition	NOUN
fuelectenerg-3144	482	34	of	of	ADP
fuelectenerg-3144	482	35	all	all	DET
fuelectenerg-3144	482	36	possible	possible	ADJ
fuelectenerg-3144	482	37	states	state	NOUN
fuelectenerg-3144	482	38	.	.	PUNCT
fuelectenerg-3144	483	1	conventionally	conventionally	ADV
fuelectenerg-3144	483	2	,	,	PUNCT
fuelectenerg-3144	483	3	this	this	PRON
fuelectenerg-3144	483	4	is	be	AUX
fuelectenerg-3144	483	5	accomplished	accomplish	VERB
fuelectenerg-3144	483	6	by	by	ADP
fuelectenerg-3144	483	7	initializing	initialize	VERB
fuelectenerg-3144	483	8	each	each	DET
fuelectenerg-3144	483	9	input	input	NOUN
fuelectenerg-3144	483	10	qubit	qubit	NOUN
fuelectenerg-3144	483	11	(	(	PUNCT
fuelectenerg-3144	483	12	x1	x1	PROPN
fuelectenerg-3144	483	13	through	through	ADP
fuelectenerg-3144	483	14	xn	xn	NUM
fuelectenerg-3144	483	15	)	)	PUNCT
fuelectenerg-3144	483	16	to	to	ADP
fuelectenerg-3144	483	17	|0	|0	NUM
fuelectenerg-3144	483	18	〉	〉	PROPN
fuelectenerg-3144	483	19	and	and	CCONJ
fuelectenerg-3144	483	20	then	then	ADV
fuelectenerg-3144	483	21	applying	apply	VERB
fuelectenerg-3144	483	22	a	a	DET
fuelectenerg-3144	483	23	hadamard	hadamard	ADJ
fuelectenerg-3144	483	24	gate	gate	NOUN
fuelectenerg-3144	483	25	to	to	ADP
fuelectenerg-3144	483	26	each	each	DET
fuelectenerg-3144	483	27	input	input	NOUN
fuelectenerg-3144	483	28	qubit	qubit	NOUN
fuelectenerg-3144	483	29	,	,	PUNCT
fuelectenerg-3144	483	30	as	as	SCONJ
fuelectenerg-3144	483	31	shown	show	VERB
fuelectenerg-3144	483	32	in	in	ADP
fuelectenerg-3144	483	33	figure	figure	NOUN
fuelectenerg-3144	483	34	3	3	NUM
fuelectenerg-3144	483	35	.	.	PUNCT
fuelectenerg-3144	483	36	similarly	similarly	ADV
fuelectenerg-3144	483	37	,	,	PUNCT
fuelectenerg-3144	483	38	the	the	DET
fuelectenerg-3144	483	39	quantum	quantum	PROPN
fuelectenerg-3144	483	40	oracle	oracle	NOUN
fuelectenerg-3144	483	41	’s	’s	PART
fuelectenerg-3144	483	42	output	output	NOUN
fuelectenerg-3144	483	43	qubit	qubit	NOUN
fuelectenerg-3144	483	44	is	be	AUX
fuelectenerg-3144	483	45	initialized	initialize	VERB
fuelectenerg-3144	483	46	to	to	ADP
fuelectenerg-3144	483	47	1√	1√	PROPN
fuelectenerg-3144	483	48	2	2	NUM
fuelectenerg-3144	483	49	(	(	PUNCT
fuelectenerg-3144	483	50	|0〉−	|0〉−	NUM
fuelectenerg-3144	483	51	|1	|1	SYM
fuelectenerg-3144	483	52	〉	〉	NOUN
fuelectenerg-3144	483	53	)	)	PUNCT
fuelectenerg-3144	483	54	by	by	ADP
fuelectenerg-3144	483	55	applying	apply	VERB
fuelectenerg-3144	483	56	a	a	DET
fuelectenerg-3144	483	57	hadamard	hadamard	ADJ
fuelectenerg-3144	483	58	gate	gate	NOUN
fuelectenerg-3144	483	59	to	to	ADP
fuelectenerg-3144	483	60	an	an	DET
fuelectenerg-3144	483	61	initial	initial	ADJ
fuelectenerg-3144	483	62	state	state	NOUN
fuelectenerg-3144	483	63	of	of	ADP
fuelectenerg-3144	483	64	|1	|1	PRON
fuelectenerg-3144	483	65	〉	〉	NOUN
fuelectenerg-3144	483	66	,	,	PUNCT
fuelectenerg-3144	483	67	also	also	ADV
fuelectenerg-3144	483	68	shown	show	VERB
fuelectenerg-3144	483	69	in	in	ADP
fuelectenerg-3144	483	70	figure	figure	NOUN
fuelectenerg-3144	483	71	3	3	NUM
fuelectenerg-3144	483	72	.	.	PUNCT
fuelectenerg-3144	484	1	following	follow	VERB
fuelectenerg-3144	484	2	completion	completion	NOUN
fuelectenerg-3144	484	3	of	of	ADP
fuelectenerg-3144	484	4	the	the	DET
fuelectenerg-3144	484	5	amplitude	amplitude	NOUN
fuelectenerg-3144	484	6	amplification	amplification	NOUN
fuelectenerg-3144	484	7	procedure	procedure	NOUN
fuelectenerg-3144	484	8	,	,	PUNCT
fuelectenerg-3144	484	9	the	the	DET
fuelectenerg-3144	484	10	qubits	qubit	NOUN
fuelectenerg-3144	484	11	x1	x1	ADJ
fuelectenerg-3144	484	12	through	through	ADP
fuelectenerg-3144	484	13	xn	xn	PROPN
fuelectenerg-3144	484	14	are	be	AUX
fuelectenerg-3144	484	15	measured	measure	VERB
fuelectenerg-3144	484	16	to	to	PART
fuelectenerg-3144	484	17	obtain	obtain	VERB
fuelectenerg-3144	484	18	the	the	DET
fuelectenerg-3144	484	19	final	final	ADJ
fuelectenerg-3144	484	20	output	output	NOUN
fuelectenerg-3144	484	21	of	of	ADP
fuelectenerg-3144	484	22	grover	grover	PROPN
fuelectenerg-3144	484	23	’s	’s	PART
fuelectenerg-3144	484	24	algorithm	algorithm	NOUN
fuelectenerg-3144	484	25	;	;	PUNCT
fuelectenerg-3144	484	26	figure	figure	NOUN
fuelectenerg-3144	484	27	3	3	NUM
fuelectenerg-3144	484	28	indicates	indicate	VERB
fuelectenerg-3144	484	29	this	this	DET
fuelectenerg-3144	484	30	measurement	measurement	NOUN
fuelectenerg-3144	484	31	on	on	ADP
fuelectenerg-3144	484	32	the	the	DET
fuelectenerg-3144	484	33	right	right	ADJ
fuelectenerg-3144	484	34	-	-	PUNCT
fuelectenerg-3144	484	35	hand	hand	NOUN
fuelectenerg-3144	484	36	side	side	NOUN
fuelectenerg-3144	484	37	using	use	VERB
fuelectenerg-3144	484	38	the	the	DET
fuelectenerg-3144	484	39	standard	standard	ADJ
fuelectenerg-3144	484	40	leftpointing	leftpointing	ADJ
fuelectenerg-3144	484	41	triangular	triangular	NOUN
fuelectenerg-3144	484	42	symbol	symbol	NOUN
fuelectenerg-3144	484	43	.	.	PUNCT
fuelectenerg-3144	485	1	we	we	PRON
fuelectenerg-3144	485	2	therefore	therefore	ADV
fuelectenerg-3144	485	3	see	see	VERB
fuelectenerg-3144	485	4	that	that	SCONJ
fuelectenerg-3144	485	5	the	the	DET
fuelectenerg-3144	485	6	complete	complete	ADJ
fuelectenerg-3144	485	7	grover	grover	PROPN
fuelectenerg-3144	485	8	’s	’s	PART
fuelectenerg-3144	485	9	algorithm	algorithm	NOUN
fuelectenerg-3144	485	10	consists	consist	VERB
fuelectenerg-3144	485	11	of	of	ADP
fuelectenerg-3144	485	12	the	the	DET
fuelectenerg-3144	485	13	following	follow	VERB
fuelectenerg-3144	485	14	steps	step	NOUN
fuelectenerg-3144	485	15	:	:	PUNCT
fuelectenerg-3144	485	16	1	1	X
fuelectenerg-3144	485	17	.	.	X
fuelectenerg-3144	485	18	begin	begin	VERB
fuelectenerg-3144	485	19	with	with	ADP
fuelectenerg-3144	485	20	n	n	CCONJ
fuelectenerg-3144	485	21	input	input	NOUN
fuelectenerg-3144	485	22	qubits	qubit	NOUN
fuelectenerg-3144	485	23	and	and	CCONJ
fuelectenerg-3144	485	24	one	one	NUM
fuelectenerg-3144	485	25	output	output	NOUN
fuelectenerg-3144	485	26	qubit	qubit	NOUN
fuelectenerg-3144	485	27	,	,	PUNCT
fuelectenerg-3144	485	28	initialized	initialize	VERB
fuelectenerg-3144	485	29	as	as	SCONJ
fuelectenerg-3144	485	30	described	describe	VERB
fuelectenerg-3144	485	31	in	in	ADP
fuelectenerg-3144	485	32	the	the	DET
fuelectenerg-3144	485	33	preceding	precede	VERB
fuelectenerg-3144	485	34	paragraph	paragraph	NOUN
fuelectenerg-3144	485	35	.	.	PUNCT
fuelectenerg-3144	486	1	2	2	X
fuelectenerg-3144	486	2	.	.	X
fuelectenerg-3144	486	3	perform	perform	VERB
fuelectenerg-3144	486	4	the	the	DET
fuelectenerg-3144	486	5	amplitude	amplitude	NOUN
fuelectenerg-3144	486	6	amplification	amplification	NOUN
fuelectenerg-3144	486	7	procedure	procedure	NOUN
fuelectenerg-3144	486	8	by	by	ADP
fuelectenerg-3144	486	9	applying	apply	VERB
fuelectenerg-3144	486	10	the	the	DET
fuelectenerg-3144	486	11	grover	grover	NOUN
fuelectenerg-3144	486	12	iterate	iterate	NOUN
fuelectenerg-3144	486	13	√	√	PROPN
fuelectenerg-3144	486	14	n	n	NUM
fuelectenerg-3144	486	15	times	time	NOUN
fuelectenerg-3144	486	16	as	as	ADP
fuelectenerg-3144	486	17	previously	previously	ADV
fuelectenerg-3144	486	18	described	describe	VERB
fuelectenerg-3144	486	19	.	.	PUNCT
fuelectenerg-3144	487	1	3	3	X
fuelectenerg-3144	487	2	.	.	X
fuelectenerg-3144	487	3	measure	measure	VERB
fuelectenerg-3144	487	4	the	the	DET
fuelectenerg-3144	487	5	input	input	NOUN
fuelectenerg-3144	487	6	qubits	qubit	NOUN
fuelectenerg-3144	487	7	;	;	PUNCT
fuelectenerg-3144	487	8	the	the	DET
fuelectenerg-3144	487	9	result	result	NOUN
fuelectenerg-3144	487	10	of	of	ADP
fuelectenerg-3144	487	11	measurement	measurement	NOUN
fuelectenerg-3144	487	12	forms	form	VERB
fuelectenerg-3144	487	13	the	the	DET
fuelectenerg-3144	487	14	output	output	NOUN
fuelectenerg-3144	487	15	of	of	ADP
fuelectenerg-3144	487	16	grover	grover	PROPN
fuelectenerg-3144	487	17	’s	’s	PART
fuelectenerg-3144	487	18	algorithm	algorithm	NOUN
fuelectenerg-3144	487	19	.	.	PUNCT
fuelectenerg-3144	488	1	since	since	SCONJ
fuelectenerg-3144	488	2	the	the	DET
fuelectenerg-3144	488	3	initialization	initialization	NOUN
fuelectenerg-3144	488	4	and	and	CCONJ
fuelectenerg-3144	488	5	measurement	measurement	NOUN
fuelectenerg-3144	488	6	steps	step	NOUN
fuelectenerg-3144	488	7	in	in	ADP
fuelectenerg-3144	488	8	grover	grover	NOUN
fuelectenerg-3144	488	9	’s	’s	PART
fuelectenerg-3144	488	10	algorithm	algorithm	NOUN
fuelectenerg-3144	488	11	are	be	AUX
fuelectenerg-3144	488	12	proportional	proportional	ADJ
fuelectenerg-3144	488	13	to	to	ADP
fuelectenerg-3144	488	14	the	the	DET
fuelectenerg-3144	488	15	number	number	NOUN
fuelectenerg-3144	488	16	of	of	ADP
fuelectenerg-3144	488	17	qubits	qubit	NOUN
fuelectenerg-3144	488	18	used	use	VERB
fuelectenerg-3144	488	19	,	,	PUNCT
fuelectenerg-3144	488	20	which	which	PRON
fuelectenerg-3144	488	21	is	be	AUX
fuelectenerg-3144	488	22	on	on	ADP
fuelectenerg-3144	488	23	the	the	DET
fuelectenerg-3144	488	24	order	order	NOUN
fuelectenerg-3144	488	25	of	of	ADP
fuelectenerg-3144	488	26	n	n	NOUN
fuelectenerg-3144	488	27	=	=	PUNCT
fuelectenerg-3144	488	28	log2	log2	PROPN
fuelectenerg-3144	488	29	n	n	CCONJ
fuelectenerg-3144	488	30	,	,	PUNCT
fuelectenerg-3144	488	31	the	the	DET
fuelectenerg-3144	488	32	number	number	NOUN
fuelectenerg-3144	488	33	of	of	ADP
fuelectenerg-3144	488	34	variables	variable	NOUN
fuelectenerg-3144	488	35	of	of	ADP
fuelectenerg-3144	488	36	f	f	PROPN
fuelectenerg-3144	488	37	,	,	PUNCT
fuelectenerg-3144	488	38	the	the	DET
fuelectenerg-3144	488	39	o	o	NOUN
fuelectenerg-3144	488	40	(	(	PUNCT
fuelectenerg-3144	488	41	√	√	NUM
fuelectenerg-3144	488	42	n	n	CCONJ
fuelectenerg-3144	488	43	)	)	PUNCT
fuelectenerg-3144	488	44	time	time	NOUN
fuelectenerg-3144	488	45	required	require	VERB
fuelectenerg-3144	488	46	for	for	ADP
fuelectenerg-3144	488	47	the	the	DET
fuelectenerg-3144	488	48	amplitude	amplitude	NOUN
fuelectenerg-3144	488	49	amplification	amplification	NOUN
fuelectenerg-3144	488	50	procedure	procedure	NOUN
fuelectenerg-3144	488	51	forms	form	VERB
fuelectenerg-3144	488	52	the	the	DET
fuelectenerg-3144	488	53	dominant	dominant	ADJ
fuelectenerg-3144	488	54	contribution	contribution	NOUN
fuelectenerg-3144	488	55	to	to	ADP
fuelectenerg-3144	488	56	the	the	DET
fuelectenerg-3144	488	57	overall	overall	ADJ
fuelectenerg-3144	488	58	runtime	runtime	NOUN
fuelectenerg-3144	488	59	of	of	ADP
fuelectenerg-3144	488	60	grover	grover	PROPN
fuelectenerg-3144	488	61	’s	’s	PART
fuelectenerg-3144	488	62	algorithm	algorithm	NOUN
fuelectenerg-3144	488	63	.	.	PUNCT
fuelectenerg-3144	489	1	therefore	therefore	ADV
fuelectenerg-3144	489	2	,	,	PUNCT
fuelectenerg-3144	489	3	grover	grover	PROPN
fuelectenerg-3144	489	4	’s	’s	PART
fuelectenerg-3144	489	5	algorithm	algorithm	NOUN
fuelectenerg-3144	489	6	requires	require	VERB
fuelectenerg-3144	489	7	a	a	DET
fuelectenerg-3144	489	8	time	time	NOUN
fuelectenerg-3144	489	9	complexity	complexity	NOUN
fuelectenerg-3144	489	10	of	of	ADP
fuelectenerg-3144	489	11	o	o	PROPN
fuelectenerg-3144	489	12	(	(	PUNCT
fuelectenerg-3144	489	13	√	√	NUM
fuelectenerg-3144	489	14	n	n	CCONJ
fuelectenerg-3144	489	15	)	)	PUNCT
fuelectenerg-3144	489	16	.	.	PUNCT
fuelectenerg-3144	490	1	equipped	equip	VERB
fuelectenerg-3144	490	2	with	with	ADP
fuelectenerg-3144	490	3	an	an	DET
fuelectenerg-3144	490	4	understanding	understanding	NOUN
fuelectenerg-3144	490	5	of	of	ADP
fuelectenerg-3144	490	6	grover	grover	NOUN
fuelectenerg-3144	490	7	’s	’s	PART
fuelectenerg-3144	490	8	original	original	ADJ
fuelectenerg-3144	490	9	algorithm	algorithm	NOUN
fuelectenerg-3144	490	10	,	,	PUNCT
fuelectenerg-3144	490	11	which	which	PRON
fuelectenerg-3144	490	12	assumes	assume	VERB
fuelectenerg-3144	490	13	that	that	SCONJ
fuelectenerg-3144	490	14	exactly	exactly	ADV
fuelectenerg-3144	490	15	one	one	NUM
fuelectenerg-3144	490	16	solution	solution	NOUN
fuelectenerg-3144	490	17	exists	exist	VERB
fuelectenerg-3144	490	18	,	,	PUNCT
fuelectenerg-3144	490	19	we	we	PRON
fuelectenerg-3144	490	20	now	now	ADV
fuelectenerg-3144	490	21	consider	consider	VERB
fuelectenerg-3144	490	22	how	how	SCONJ
fuelectenerg-3144	490	23	the	the	DET
fuelectenerg-3144	490	24	algorithm	algorithm	NOUN
fuelectenerg-3144	490	25	can	can	AUX
fuelectenerg-3144	490	26	be	be	AUX
fuelectenerg-3144	490	27	modified	modify	VERB
fuelectenerg-3144	490	28	if	if	SCONJ
fuelectenerg-3144	490	29	more	more	ADJ
fuelectenerg-3144	490	30	than	than	ADP
fuelectenerg-3144	490	31	one	one	NUM
fuelectenerg-3144	490	32	solution	solution	NOUN
fuelectenerg-3144	490	33	exists	exist	VERB
fuelectenerg-3144	490	34	,	,	PUNCT
fuelectenerg-3144	490	35	or	or	CCONJ
fuelectenerg-3144	490	36	if	if	SCONJ
fuelectenerg-3144	490	37	there	there	PRON
fuelectenerg-3144	490	38	are	be	VERB
fuelectenerg-3144	490	39	no	no	DET
fuelectenerg-3144	490	40	solutions	solution	NOUN
fuelectenerg-3144	490	41	at	at	ADV
fuelectenerg-3144	490	42	all	all	ADV
fuelectenerg-3144	490	43	.	.	PUNCT
fuelectenerg-3144	491	1	there	there	PRON
fuelectenerg-3144	491	2	are	be	VERB
fuelectenerg-3144	491	3	several	several	ADJ
fuelectenerg-3144	491	4	possible	possible	ADJ
fuelectenerg-3144	491	5	variations	variation	NOUN
fuelectenerg-3144	491	6	of	of	ADP
fuelectenerg-3144	491	7	this	this	DET
fuelectenerg-3144	491	8	scenario	scenario	NOUN
fuelectenerg-3144	491	9	,	,	PUNCT
fuelectenerg-3144	491	10	depending	depend	VERB
fuelectenerg-3144	491	11	on	on	ADP
fuelectenerg-3144	491	12	one	one	NUM
fuelectenerg-3144	491	13	’s	’s	PART
fuelectenerg-3144	491	14	assumptions	assumption	NOUN
fuelectenerg-3144	491	15	and	and	CCONJ
fuelectenerg-3144	491	16	objectives	objective	NOUN
fuelectenerg-3144	491	17	:	:	PUNCT
fuelectenerg-3144	491	18	•	•	NUM
fuelectenerg-3144	491	19	one	one	NUM
fuelectenerg-3144	491	20	may	may	AUX
fuelectenerg-3144	491	21	or	or	CCONJ
fuelectenerg-3144	491	22	may	may	AUX
fuelectenerg-3144	491	23	not	not	PART
fuelectenerg-3144	491	24	know	know	VERB
fuelectenerg-3144	491	25	the	the	DET
fuelectenerg-3144	491	26	number	number	NOUN
fuelectenerg-3144	491	27	of	of	ADP
fuelectenerg-3144	491	28	solutions	solution	NOUN
fuelectenerg-3144	491	29	beforehand	beforehand	ADV
fuelectenerg-3144	491	30	.	.	PUNCT
fuelectenerg-3144	492	1	•	•	INTJ
fuelectenerg-3144	492	2	if	if	SCONJ
fuelectenerg-3144	492	3	at	at	ADV
fuelectenerg-3144	492	4	least	least	ADV
fuelectenerg-3144	492	5	one	one	NUM
fuelectenerg-3144	492	6	solution	solution	NOUN
fuelectenerg-3144	492	7	exists	exist	VERB
fuelectenerg-3144	492	8	,	,	PUNCT
fuelectenerg-3144	492	9	one	one	PRON
fuelectenerg-3144	492	10	may	may	AUX
fuelectenerg-3144	492	11	wish	wish	VERB
fuelectenerg-3144	492	12	to	to	PART
fuelectenerg-3144	492	13	find	find	VERB
fuelectenerg-3144	492	14	just	just	ADV
fuelectenerg-3144	492	15	a	a	DET
fuelectenerg-3144	492	16	single	single	ADJ
fuelectenerg-3144	492	17	solution	solution	NOUN
fuelectenerg-3144	492	18	,	,	PUNCT
fuelectenerg-3144	492	19	or	or	CCONJ
fuelectenerg-3144	492	20	all	all	DET
fuelectenerg-3144	492	21	possible	possible	ADJ
fuelectenerg-3144	492	22	solutions	solution	NOUN
fuelectenerg-3144	492	23	.	.	PUNCT
fuelectenerg-3144	493	1	•	•	NOUN
fuelectenerg-3144	493	2	one	one	NUM
fuelectenerg-3144	493	3	may	may	AUX
fuelectenerg-3144	493	4	or	or	CCONJ
fuelectenerg-3144	493	5	may	may	AUX
fuelectenerg-3144	493	6	not	not	PART
fuelectenerg-3144	493	7	know	know	VERB
fuelectenerg-3144	493	8	beforehand	beforehand	ADV
fuelectenerg-3144	493	9	whether	whether	SCONJ
fuelectenerg-3144	493	10	at	at	ADV
fuelectenerg-3144	493	11	least	least	ADV
fuelectenerg-3144	493	12	one	one	NUM
fuelectenerg-3144	493	13	solution	solution	NOUN
fuelectenerg-3144	493	14	exists	exist	VERB
fuelectenerg-3144	493	15	.	.	PUNCT
fuelectenerg-3144	494	1	•	•	INTJ
fuelectenerg-3144	494	2	if	if	SCONJ
fuelectenerg-3144	494	3	the	the	DET
fuelectenerg-3144	494	4	existence	existence	NOUN
fuelectenerg-3144	494	5	of	of	ADP
fuelectenerg-3144	494	6	at	at	ADV
fuelectenerg-3144	494	7	least	least	ADV
fuelectenerg-3144	494	8	one	one	NUM
fuelectenerg-3144	494	9	solution	solution	NOUN
fuelectenerg-3144	494	10	is	be	AUX
fuelectenerg-3144	494	11	not	not	PART
fuelectenerg-3144	494	12	guaranteed	guarantee	VERB
fuelectenerg-3144	494	13	,	,	PUNCT
fuelectenerg-3144	494	14	one	one	PRON
fuelectenerg-3144	494	15	may	may	AUX
fuelectenerg-3144	494	16	be	be	AUX
fuelectenerg-3144	494	17	interested	interested	ADJ
fuelectenerg-3144	494	18	only	only	ADV
fuelectenerg-3144	494	19	in	in	ADP
fuelectenerg-3144	494	20	determining	determine	VERB
fuelectenerg-3144	494	21	the	the	DET
fuelectenerg-3144	494	22	existence	existence	NOUN
fuelectenerg-3144	494	23	or	or	CCONJ
fuelectenerg-3144	494	24	non	non	ADJ
fuelectenerg-3144	494	25	-	-	NOUN
fuelectenerg-3144	494	26	existence	existence	NOUN
fuelectenerg-3144	494	27	of	of	ADP
fuelectenerg-3144	494	28	a	a	DET
fuelectenerg-3144	494	29	solution	solution	NOUN
fuelectenerg-3144	494	30	,	,	PUNCT
fuelectenerg-3144	494	31	and	and	CCONJ
fuelectenerg-3144	494	32	not	not	PART
fuelectenerg-3144	494	33	in	in	ADP
fuelectenerg-3144	494	34	actually	actually	ADV
fuelectenerg-3144	494	35	finding	find	VERB
fuelectenerg-3144	494	36	that	that	DET
fuelectenerg-3144	494	37	solution	solution	NOUN
fuelectenerg-3144	494	38	.	.	PUNCT
fuelectenerg-3144	495	1	for	for	ADP
fuelectenerg-3144	495	2	our	our	PRON
fuelectenerg-3144	495	3	purposes	purpose	NOUN
fuelectenerg-3144	495	4	,	,	PUNCT
fuelectenerg-3144	495	5	we	we	PRON
fuelectenerg-3144	495	6	will	will	AUX
fuelectenerg-3144	495	7	need	need	VERB
fuelectenerg-3144	495	8	to	to	PART
fuelectenerg-3144	495	9	assume	assume	VERB
fuelectenerg-3144	495	10	that	that	SCONJ
fuelectenerg-3144	495	11	we	we	PRON
fuelectenerg-3144	495	12	do	do	AUX
fuelectenerg-3144	495	13	not	not	PART
fuelectenerg-3144	495	14	have	have	VERB
fuelectenerg-3144	495	15	prior	prior	ADJ
fuelectenerg-3144	495	16	knowledge	knowledge	NOUN
fuelectenerg-3144	495	17	of	of	ADP
fuelectenerg-3144	495	18	the	the	DET
fuelectenerg-3144	495	19	existence	existence	NOUN
fuelectenerg-3144	495	20	and	and	CCONJ
fuelectenerg-3144	495	21	number	number	NOUN
fuelectenerg-3144	495	22	of	of	ADP
fuelectenerg-3144	495	23	solutions	solution	NOUN
fuelectenerg-3144	495	24	.	.	PUNCT
fuelectenerg-3144	496	1	we	we	PRON
fuelectenerg-3144	496	2	will	will	AUX
fuelectenerg-3144	496	3	be	be	AUX
fuelectenerg-3144	496	4	interested	interested	ADJ
fuelectenerg-3144	496	5	in	in	ADP
fuelectenerg-3144	496	6	first	first	ADV
fuelectenerg-3144	496	7	determining	determine	VERB
fuelectenerg-3144	496	8	whether	whether	SCONJ
fuelectenerg-3144	496	9	any	any	DET
fuelectenerg-3144	496	10	solutions	solution	NOUN
fuelectenerg-3144	496	11	exist	exist	VERB
fuelectenerg-3144	496	12	,	,	PUNCT
fuelectenerg-3144	496	13	and	and	CCONJ
fuelectenerg-3144	496	14	then	then	ADV
fuelectenerg-3144	496	15	finding	find	VERB
fuelectenerg-3144	496	16	just	just	ADV
fuelectenerg-3144	496	17	a	a	DET
fuelectenerg-3144	496	18	single	single	ADJ
fuelectenerg-3144	496	19	solution	solution	NOUN
fuelectenerg-3144	496	20	if	if	SCONJ
fuelectenerg-3144	496	21	at	at	ADV
fuelectenerg-3144	496	22	least	least	ADV
fuelectenerg-3144	496	23	one	one	NUM
fuelectenerg-3144	496	24	exists	exist	VERB
fuelectenerg-3144	496	25	.	.	PUNCT
fuelectenerg-3144	497	1	in	in	ADP
fuelectenerg-3144	497	2	section	section	NOUN
fuelectenerg-3144	497	3	3.2	3.2	NUM
fuelectenerg-3144	497	4	,	,	PUNCT
fuelectenerg-3144	497	5	we	we	PRON
fuelectenerg-3144	497	6	will	will	AUX
fuelectenerg-3144	497	7	demonstrate	demonstrate	VERB
fuelectenerg-3144	497	8	that	that	SCONJ
fuelectenerg-3144	497	9	satisfying	satisfy	VERB
fuelectenerg-3144	497	10	this	this	DET
fuelectenerg-3144	497	11	requirement	requirement	NOUN
fuelectenerg-3144	497	12	suffices	suffice	VERB
fuelectenerg-3144	497	13	to	to	PART
fuelectenerg-3144	497	14	solve	solve	VERB
fuelectenerg-3144	497	15	the	the	DET
fuelectenerg-3144	497	16	state	state	NOUN
fuelectenerg-3144	497	17	encoding	encoding	NOUN
fuelectenerg-3144	497	18	problem	problem	NOUN
fuelectenerg-3144	497	19	using	use	VERB
fuelectenerg-3144	497	20	a	a	DET
fuelectenerg-3144	497	21	quantum	quantum	ADJ
fuelectenerg-3144	497	22	computer	computer	NOUN
fuelectenerg-3144	497	23	.	.	PUNCT
fuelectenerg-3144	498	1	fortunately	fortunately	ADV
fuelectenerg-3144	498	2	,	,	PUNCT
fuelectenerg-3144	498	3	for	for	ADP
fuelectenerg-3144	498	4	the	the	DET
fuelectenerg-3144	498	5	assumptions	assumption	NOUN
fuelectenerg-3144	498	6	stated	state	VERB
fuelectenerg-3144	498	7	above	above	ADV
fuelectenerg-3144	498	8	,	,	PUNCT
fuelectenerg-3144	498	9	one	one	PRON
fuelectenerg-3144	498	10	can	can	AUX
fuelectenerg-3144	498	11	extend	extend	VERB
fuelectenerg-3144	498	12	grover	grover	PROPN
fuelectenerg-3144	498	13	’s	’s	PART
fuelectenerg-3144	498	14	algorithm	algorithm	NOUN
fuelectenerg-3144	498	15	to	to	ADP
fuelectenerg-3144	498	16	the	the	DET
fuelectenerg-3144	498	17	case	case	NOUN
fuelectenerg-3144	498	18	of	of	ADP
fuelectenerg-3144	498	19	an	an	DET
fuelectenerg-3144	498	20	unknown	unknown	ADJ
fuelectenerg-3144	498	21	number	number	NOUN
fuelectenerg-3144	498	22	of	of	ADP
fuelectenerg-3144	498	23	solutions	solution	NOUN
fuelectenerg-3144	498	24	while	while	SCONJ
fuelectenerg-3144	498	25	maintaining	maintain	VERB
fuelectenerg-3144	498	26	an	an	DET
fuelectenerg-3144	498	27	o	o	NOUN
fuelectenerg-3144	498	28	(	(	PUNCT
fuelectenerg-3144	498	29	√	√	NUM
fuelectenerg-3144	498	30	n	n	CCONJ
fuelectenerg-3144	498	31	)	)	PUNCT
fuelectenerg-3144	498	32	run	run	VERB
fuelectenerg-3144	498	33	time	time	NOUN
fuelectenerg-3144	498	34	complexity	complexity	NOUN
fuelectenerg-3144	498	35	.	.	PUNCT
fuelectenerg-3144	499	1	in	in	ADP
fuelectenerg-3144	499	2	[	[	X
fuelectenerg-3144	499	3	17	17	NUM
fuelectenerg-3144	499	4	]	]	PUNCT
fuelectenerg-3144	499	5	,	,	PUNCT
fuelectenerg-3144	499	6	the	the	DET
fuelectenerg-3144	499	7	authors	author	NOUN
fuelectenerg-3144	499	8	show	show	VERB
fuelectenerg-3144	499	9	that	that	SCONJ
fuelectenerg-3144	499	10	if	if	SCONJ
fuelectenerg-3144	499	11	14	14	NUM
fuelectenerg-3144	499	12	one	one	NOUN
fuelectenerg-3144	499	13	has	have	AUX
fuelectenerg-3144	499	14	foreknowledge	foreknowledge	VERB
fuelectenerg-3144	499	15	of	of	ADP
fuelectenerg-3144	499	16	the	the	DET
fuelectenerg-3144	499	17	exact	exact	ADJ
fuelectenerg-3144	499	18	number	number	NOUN
fuelectenerg-3144	499	19	of	of	ADP
fuelectenerg-3144	499	20	solutions	solution	NOUN
fuelectenerg-3144	499	21	,	,	PUNCT
fuelectenerg-3144	499	22	grover	grover	NOUN
fuelectenerg-3144	499	23	’s	’s	PART
fuelectenerg-3144	499	24	original	original	ADJ
fuelectenerg-3144	499	25	algorithm	algorithm	NOUN
fuelectenerg-3144	499	26	as	as	SCONJ
fuelectenerg-3144	499	27	previously	previously	ADV
fuelectenerg-3144	499	28	described	describe	VERB
fuelectenerg-3144	499	29	(	(	PUNCT
fuelectenerg-3144	499	30	which	which	PRON
fuelectenerg-3144	499	31	assumes	assume	VERB
fuelectenerg-3144	499	32	the	the	DET
fuelectenerg-3144	499	33	existence	existence	NOUN
fuelectenerg-3144	499	34	of	of	ADP
fuelectenerg-3144	499	35	exactly	exactly	ADV
fuelectenerg-3144	499	36	one	one	NUM
fuelectenerg-3144	499	37	solution	solution	NOUN
fuelectenerg-3144	499	38	)	)	PUNCT
fuelectenerg-3144	499	39	can	can	AUX
fuelectenerg-3144	499	40	still	still	ADV
fuelectenerg-3144	499	41	be	be	AUX
fuelectenerg-3144	499	42	used	use	VERB
fuelectenerg-3144	499	43	with	with	ADP
fuelectenerg-3144	499	44	one	one	NUM
fuelectenerg-3144	499	45	modification	modification	NOUN
fuelectenerg-3144	499	46	:	:	PUNCT
fuelectenerg-3144	499	47	instead	instead	ADV
fuelectenerg-3144	499	48	of	of	ADP
fuelectenerg-3144	499	49	o	o	PROPN
fuelectenerg-3144	499	50	(	(	PUNCT
fuelectenerg-3144	499	51	√	√	NUM
fuelectenerg-3144	499	52	n	n	CCONJ
fuelectenerg-3144	499	53	)	)	PUNCT
fuelectenerg-3144	499	54	iterations	iteration	NOUN
fuelectenerg-3144	499	55	,	,	PUNCT
fuelectenerg-3144	499	56	one	one	PRON
fuelectenerg-3144	499	57	now	now	ADV
fuelectenerg-3144	499	58	requires	require	VERB
fuelectenerg-3144	499	59	o	o	NOUN
fuelectenerg-3144	499	60	(	(	PUNCT
fuelectenerg-3144	499	61	√	√	NUM
fuelectenerg-3144	499	62	n	n	CCONJ
fuelectenerg-3144	499	63	/	/	SYM
fuelectenerg-3144	499	64	k	k	NOUN
fuelectenerg-3144	499	65	)	)	PUNCT
fuelectenerg-3144	499	66	iterations	iteration	NOUN
fuelectenerg-3144	499	67	,	,	PUNCT
fuelectenerg-3144	499	68	where	where	SCONJ
fuelectenerg-3144	499	69	k	k	PROPN
fuelectenerg-3144	499	70	is	be	AUX
fuelectenerg-3144	499	71	the	the	DET
fuelectenerg-3144	499	72	number	number	NOUN
fuelectenerg-3144	499	73	of	of	ADP
fuelectenerg-3144	499	74	solutions	solution	NOUN
fuelectenerg-3144	499	75	.	.	PUNCT
fuelectenerg-3144	500	1	furthermore	furthermore	ADV
fuelectenerg-3144	500	2	,	,	PUNCT
fuelectenerg-3144	500	3	the	the	DET
fuelectenerg-3144	500	4	authors	author	NOUN
fuelectenerg-3144	500	5	in	in	ADP
fuelectenerg-3144	500	6	[	[	X
fuelectenerg-3144	500	7	17	17	NUM
fuelectenerg-3144	500	8	]	]	PUNCT
fuelectenerg-3144	500	9	also	also	ADV
fuelectenerg-3144	500	10	demonstrate	demonstrate	VERB
fuelectenerg-3144	500	11	a	a	DET
fuelectenerg-3144	500	12	method	method	NOUN
fuelectenerg-3144	500	13	by	by	ADP
fuelectenerg-3144	500	14	which	which	PRON
fuelectenerg-3144	500	15	one	one	PRON
fuelectenerg-3144	500	16	can	can	AUX
fuelectenerg-3144	500	17	find	find	VERB
fuelectenerg-3144	500	18	a	a	DET
fuelectenerg-3144	500	19	solution	solution	NOUN
fuelectenerg-3144	500	20	in	in	ADP
fuelectenerg-3144	500	21	o	o	PROPN
fuelectenerg-3144	500	22	(	(	PUNCT
fuelectenerg-3144	500	23	√	√	NUM
fuelectenerg-3144	500	24	n	n	CCONJ
fuelectenerg-3144	500	25	/	/	SYM
fuelectenerg-3144	500	26	k	k	NOUN
fuelectenerg-3144	500	27	)	)	PUNCT
fuelectenerg-3144	500	28	expected	expect	VERB
fuelectenerg-3144	500	29	time	time	NOUN
fuelectenerg-3144	500	30	even	even	ADV
fuelectenerg-3144	500	31	if	if	SCONJ
fuelectenerg-3144	500	32	the	the	DET
fuelectenerg-3144	500	33	number	number	NOUN
fuelectenerg-3144	500	34	of	of	ADP
fuelectenerg-3144	500	35	solutions	solution	NOUN
fuelectenerg-3144	500	36	is	be	AUX
fuelectenerg-3144	500	37	unknown	unknown	ADJ
fuelectenerg-3144	500	38	.	.	PUNCT
fuelectenerg-3144	501	1	this	this	DET
fuelectenerg-3144	501	2	same	same	ADJ
fuelectenerg-3144	501	3	method	method	NOUN
fuelectenerg-3144	501	4	is	be	AUX
fuelectenerg-3144	501	5	additionally	additionally	ADV
fuelectenerg-3144	501	6	capable	capable	ADJ
fuelectenerg-3144	501	7	of	of	ADP
fuelectenerg-3144	501	8	detecting	detect	VERB
fuelectenerg-3144	501	9	the	the	DET
fuelectenerg-3144	501	10	non	non	NOUN
fuelectenerg-3144	501	11	-	-	NOUN
fuelectenerg-3144	501	12	existence	existence	NOUN
fuelectenerg-3144	501	13	of	of	ADP
fuelectenerg-3144	501	14	a	a	DET
fuelectenerg-3144	501	15	solution	solution	NOUN
fuelectenerg-3144	501	16	in	in	ADP
fuelectenerg-3144	501	17	o	o	PROPN
fuelectenerg-3144	501	18	(	(	PUNCT
fuelectenerg-3144	501	19	√	√	NUM
fuelectenerg-3144	501	20	n	n	CCONJ
fuelectenerg-3144	501	21	)	)	PUNCT
fuelectenerg-3144	501	22	time	time	NOUN
fuelectenerg-3144	501	23	with	with	ADP
fuelectenerg-3144	501	24	an	an	DET
fuelectenerg-3144	501	25	arbitrarily	arbitrarily	ADV
fuelectenerg-3144	501	26	high	high	ADJ
fuelectenerg-3144	501	27	level	level	NOUN
fuelectenerg-3144	501	28	of	of	ADP
fuelectenerg-3144	501	29	certainty	certainty	NOUN
fuelectenerg-3144	501	30	.	.	PUNCT
fuelectenerg-3144	502	1	alternatively	alternatively	ADV
fuelectenerg-3144	502	2	,	,	PUNCT
fuelectenerg-3144	502	3	brassard	brassard	PROPN
fuelectenerg-3144	502	4	et	et	PROPN
fuelectenerg-3144	502	5	al	al	PROPN
fuelectenerg-3144	502	6	.	.	PUNCT
fuelectenerg-3144	503	1	[	[	X
fuelectenerg-3144	503	2	18	18	NUM
fuelectenerg-3144	503	3	]	]	PUNCT
fuelectenerg-3144	503	4	have	have	AUX
fuelectenerg-3144	503	5	described	describe	VERB
fuelectenerg-3144	503	6	a	a	DET
fuelectenerg-3144	503	7	quantum	quantum	ADJ
fuelectenerg-3144	503	8	counting	counting	NOUN
fuelectenerg-3144	503	9	algorithm	algorithm	NOUN
fuelectenerg-3144	503	10	,	,	PUNCT
fuelectenerg-3144	503	11	with	with	ADP
fuelectenerg-3144	503	12	which	which	PRON
fuelectenerg-3144	503	13	one	one	PRON
fuelectenerg-3144	503	14	may	may	AUX
fuelectenerg-3144	503	15	obtain	obtain	VERB
fuelectenerg-3144	503	16	an	an	DET
fuelectenerg-3144	503	17	estimate	estimate	NOUN
fuelectenerg-3144	503	18	of	of	ADP
fuelectenerg-3144	503	19	the	the	DET
fuelectenerg-3144	503	20	number	number	NOUN
fuelectenerg-3144	503	21	of	of	ADP
fuelectenerg-3144	503	22	solutions	solution	NOUN
fuelectenerg-3144	503	23	.	.	PUNCT
fuelectenerg-3144	504	1	one	one	PRON
fuelectenerg-3144	504	2	could	could	AUX
fuelectenerg-3144	504	3	use	use	VERB
fuelectenerg-3144	504	4	this	this	DET
fuelectenerg-3144	504	5	quantum	quantum	NOUN
fuelectenerg-3144	504	6	counting	counting	NOUN
fuelectenerg-3144	504	7	algorithm	algorithm	NOUN
fuelectenerg-3144	504	8	together	together	ADV
fuelectenerg-3144	504	9	with	with	ADP
fuelectenerg-3144	504	10	the	the	DET
fuelectenerg-3144	504	11	previously	previously	ADV
fuelectenerg-3144	504	12	-	-	PUNCT
fuelectenerg-3144	504	13	mentioned	mention	VERB
fuelectenerg-3144	504	14	extended	extended	ADJ
fuelectenerg-3144	504	15	grover	grover	NOUN
fuelectenerg-3144	504	16	’s	’s	PART
fuelectenerg-3144	504	17	algorithm	algorithm	NOUN
fuelectenerg-3144	504	18	for	for	ADP
fuelectenerg-3144	504	19	a	a	DET
fuelectenerg-3144	504	20	known	know	VERB
fuelectenerg-3144	504	21	number	number	NOUN
fuelectenerg-3144	504	22	of	of	ADP
fuelectenerg-3144	504	23	solutions	solution	NOUN
fuelectenerg-3144	504	24	(	(	PUNCT
fuelectenerg-3144	504	25	in	in	ADP
fuelectenerg-3144	504	26	[	[	X
fuelectenerg-3144	504	27	17	17	NUM
fuelectenerg-3144	504	28	]	]	PUNCT
fuelectenerg-3144	504	29	)	)	PUNCT
fuelectenerg-3144	504	30	to	to	PART
fuelectenerg-3144	504	31	find	find	VERB
fuelectenerg-3144	504	32	a	a	DET
fuelectenerg-3144	504	33	single	single	ADJ
fuelectenerg-3144	504	34	solution	solution	NOUN
fuelectenerg-3144	504	35	,	,	PUNCT
fuelectenerg-3144	504	36	if	if	SCONJ
fuelectenerg-3144	504	37	it	it	PRON
fuelectenerg-3144	504	38	exists.4	exists.4	VERB
fuelectenerg-3144	504	39	using	use	VERB
fuelectenerg-3144	504	40	the	the	DET
fuelectenerg-3144	504	41	above	above	ADJ
fuelectenerg-3144	504	42	approaches	approach	NOUN
fuelectenerg-3144	504	43	,	,	PUNCT
fuelectenerg-3144	504	44	one	one	PRON
fuelectenerg-3144	504	45	can	can	AUX
fuelectenerg-3144	504	46	satisfy	satisfy	VERB
fuelectenerg-3144	504	47	the	the	DET
fuelectenerg-3144	504	48	previously	previously	ADV
fuelectenerg-3144	504	49	stated	state	VERB
fuelectenerg-3144	504	50	requirement	requirement	NOUN
fuelectenerg-3144	504	51	—	—	PUNCT
fuelectenerg-3144	504	52	determine	determine	VERB
fuelectenerg-3144	504	53	whether	whether	SCONJ
fuelectenerg-3144	504	54	any	any	DET
fuelectenerg-3144	504	55	solutions	solution	NOUN
fuelectenerg-3144	504	56	exist	exist	VERB
fuelectenerg-3144	504	57	,	,	PUNCT
fuelectenerg-3144	504	58	and	and	CCONJ
fuelectenerg-3144	504	59	find	find	VERB
fuelectenerg-3144	504	60	one	one	NUM
fuelectenerg-3144	504	61	if	if	SCONJ
fuelectenerg-3144	504	62	it	it	PRON
fuelectenerg-3144	504	63	does	do	VERB
fuelectenerg-3144	504	64	—	—	PUNCT
fuelectenerg-3144	504	65	with	with	ADP
fuelectenerg-3144	504	66	the	the	DET
fuelectenerg-3144	504	67	same	same	ADJ
fuelectenerg-3144	504	68	o	o	NOUN
fuelectenerg-3144	504	69	(	(	PUNCT
fuelectenerg-3144	504	70	√	√	NUM
fuelectenerg-3144	504	71	n	n	CCONJ
fuelectenerg-3144	504	72	)	)	PUNCT
fuelectenerg-3144	504	73	time	time	NOUN
fuelectenerg-3144	504	74	complexity	complexity	NOUN
fuelectenerg-3144	504	75	as	as	ADP
fuelectenerg-3144	504	76	grover	grover	NOUN
fuelectenerg-3144	504	77	’s	’s	PART
fuelectenerg-3144	504	78	original	original	ADJ
fuelectenerg-3144	504	79	algorithm	algorithm	NOUN
fuelectenerg-3144	504	80	.	.	PUNCT
fuelectenerg-3144	505	1	for	for	ADP
fuelectenerg-3144	505	2	the	the	DET
fuelectenerg-3144	505	3	sake	sake	NOUN
fuelectenerg-3144	505	4	of	of	ADP
fuelectenerg-3144	505	5	brevity	brevity	NOUN
fuelectenerg-3144	505	6	,	,	PUNCT
fuelectenerg-3144	505	7	we	we	PRON
fuelectenerg-3144	505	8	will	will	AUX
fuelectenerg-3144	505	9	from	from	ADP
fuelectenerg-3144	505	10	now	now	ADV
fuelectenerg-3144	505	11	on	on	ADP
fuelectenerg-3144	505	12	use	use	NOUN
fuelectenerg-3144	505	13	“	"	PUNCT
fuelectenerg-3144	505	14	grover	grover	PROPN
fuelectenerg-3144	505	15	’s	’s	PART
fuelectenerg-3144	505	16	algorithm	algorithm	NOUN
fuelectenerg-3144	505	17	”	"	PUNCT
fuelectenerg-3144	505	18	to	to	PART
fuelectenerg-3144	505	19	refer	refer	VERB
fuelectenerg-3144	505	20	to	to	ADP
fuelectenerg-3144	505	21	all	all	PRON
fuelectenerg-3144	505	22	of	of	ADP
fuelectenerg-3144	505	23	these	these	DET
fuelectenerg-3144	505	24	approaches	approach	NOUN
fuelectenerg-3144	505	25	collectively	collectively	ADV
fuelectenerg-3144	505	26	.	.	PUNCT
fuelectenerg-3144	506	1	in	in	ADP
fuelectenerg-3144	506	2	other	other	ADJ
fuelectenerg-3144	506	3	words	word	NOUN
fuelectenerg-3144	506	4	,	,	PUNCT
fuelectenerg-3144	506	5	when	when	SCONJ
fuelectenerg-3144	506	6	we	we	PRON
fuelectenerg-3144	506	7	say	say	VERB
fuelectenerg-3144	506	8	we	we	PRON
fuelectenerg-3144	506	9	are	be	AUX
fuelectenerg-3144	506	10	“	"	PUNCT
fuelectenerg-3144	506	11	using	use	VERB
fuelectenerg-3144	506	12	grover	grover	NOUN
fuelectenerg-3144	506	13	’s	’s	PART
fuelectenerg-3144	506	14	algorithm	algorithm	NOUN
fuelectenerg-3144	506	15	”	"	PUNCT
fuelectenerg-3144	506	16	to	to	PART
fuelectenerg-3144	506	17	solve	solve	VERB
fuelectenerg-3144	506	18	a	a	DET
fuelectenerg-3144	506	19	satisfaction	satisfaction	NOUN
fuelectenerg-3144	506	20	problem	problem	NOUN
fuelectenerg-3144	506	21	,	,	PUNCT
fuelectenerg-3144	506	22	we	we	PRON
fuelectenerg-3144	506	23	mean	mean	VERB
fuelectenerg-3144	506	24	that	that	SCONJ
fuelectenerg-3144	506	25	we	we	PRON
fuelectenerg-3144	506	26	are	be	AUX
fuelectenerg-3144	506	27	using	use	VERB
fuelectenerg-3144	506	28	any	any	PRON
fuelectenerg-3144	506	29	of	of	ADP
fuelectenerg-3144	506	30	the	the	DET
fuelectenerg-3144	506	31	above	above	ADJ
fuelectenerg-3144	506	32	approaches	approach	NOUN
fuelectenerg-3144	506	33	to	to	PART
fuelectenerg-3144	506	34	determine	determine	VERB
fuelectenerg-3144	506	35	if	if	SCONJ
fuelectenerg-3144	506	36	a	a	DET
fuelectenerg-3144	506	37	solution	solution	NOUN
fuelectenerg-3144	506	38	to	to	ADP
fuelectenerg-3144	506	39	the	the	DET
fuelectenerg-3144	506	40	problem	problem	NOUN
fuelectenerg-3144	506	41	exists	exist	VERB
fuelectenerg-3144	506	42	,	,	PUNCT
fuelectenerg-3144	506	43	and	and	CCONJ
fuelectenerg-3144	506	44	then	then	ADV
fuelectenerg-3144	506	45	find	find	VERB
fuelectenerg-3144	506	46	one	one	NUM
fuelectenerg-3144	506	47	if	if	SCONJ
fuelectenerg-3144	506	48	it	it	PRON
fuelectenerg-3144	506	49	does	do	VERB
fuelectenerg-3144	506	50	.	.	PUNCT
fuelectenerg-3144	507	1	there	there	PRON
fuelectenerg-3144	507	2	is	be	VERB
fuelectenerg-3144	507	3	one	one	NUM
fuelectenerg-3144	507	4	more	more	ADJ
fuelectenerg-3144	507	5	aspect	aspect	NOUN
fuelectenerg-3144	507	6	of	of	ADP
fuelectenerg-3144	507	7	grover	grover	PROPN
fuelectenerg-3144	507	8	’s	’s	PART
fuelectenerg-3144	507	9	algorithm	algorithm	NOUN
fuelectenerg-3144	507	10	that	that	PRON
fuelectenerg-3144	507	11	we	we	PRON
fuelectenerg-3144	507	12	have	have	AUX
fuelectenerg-3144	507	13	not	not	PART
fuelectenerg-3144	507	14	yet	yet	ADV
fuelectenerg-3144	507	15	mentioned	mention	VERB
fuelectenerg-3144	507	16	—	—	PUNCT
fuelectenerg-3144	507	17	the	the	DET
fuelectenerg-3144	507	18	use	use	NOUN
fuelectenerg-3144	507	19	of	of	ADP
fuelectenerg-3144	507	20	ancillary	ancillary	NOUN
fuelectenerg-3144	507	21	(	(	PUNCT
fuelectenerg-3144	507	22	“	"	PUNCT
fuelectenerg-3144	507	23	ancilla	ancilla	PROPN
fuelectenerg-3144	507	24	”	"	PUNCT
fuelectenerg-3144	507	25	)	)	PUNCT
fuelectenerg-3144	507	26	qubits	qubit	NOUN
fuelectenerg-3144	507	27	in	in	ADP
fuelectenerg-3144	507	28	the	the	DET
fuelectenerg-3144	507	29	quantum	quantum	ADJ
fuelectenerg-3144	507	30	oracle	oracle	NOUN
fuelectenerg-3144	507	31	.	.	PUNCT
fuelectenerg-3144	508	1	strictly	strictly	ADV
fuelectenerg-3144	508	2	speaking	speak	VERB
fuelectenerg-3144	508	3	,	,	PUNCT
fuelectenerg-3144	508	4	ancilla	ancilla	PROPN
fuelectenerg-3144	508	5	qubits	qubit	NOUN
fuelectenerg-3144	508	6	are	be	AUX
fuelectenerg-3144	508	7	an	an	DET
fuelectenerg-3144	508	8	aspect	aspect	NOUN
fuelectenerg-3144	508	9	of	of	ADP
fuelectenerg-3144	508	10	quantum	quantum	NOUN
fuelectenerg-3144	508	11	oracle	oracle	NOUN
fuelectenerg-3144	508	12	design	design	NOUN
fuelectenerg-3144	508	13	and	and	CCONJ
fuelectenerg-3144	508	14	not	not	PART
fuelectenerg-3144	508	15	of	of	ADP
fuelectenerg-3144	508	16	grover	grover	NOUN
fuelectenerg-3144	508	17	’s	’s	PART
fuelectenerg-3144	508	18	algorithm	algorithm	NOUN
fuelectenerg-3144	508	19	itself	itself	PRON
fuelectenerg-3144	508	20	.	.	PUNCT
fuelectenerg-3144	509	1	we	we	PRON
fuelectenerg-3144	509	2	discuss	discuss	VERB
fuelectenerg-3144	509	3	them	they	PRON
fuelectenerg-3144	509	4	here	here	ADV
fuelectenerg-3144	509	5	nevertheless	nevertheless	ADV
fuelectenerg-3144	509	6	,	,	PUNCT
fuelectenerg-3144	509	7	since	since	SCONJ
fuelectenerg-3144	509	8	we	we	PRON
fuelectenerg-3144	509	9	will	will	AUX
fuelectenerg-3144	509	10	concentrate	concentrate	VERB
fuelectenerg-3144	509	11	on	on	ADP
fuelectenerg-3144	509	12	designing	design	VERB
fuelectenerg-3144	509	13	a	a	DET
fuelectenerg-3144	509	14	quantum	quantum	ADJ
fuelectenerg-3144	509	15	oracle	oracle	NOUN
fuelectenerg-3144	509	16	to	to	PART
fuelectenerg-3144	509	17	solve	solve	VERB
fuelectenerg-3144	509	18	the	the	DET
fuelectenerg-3144	509	19	fsm	fsm	PROPN
fuelectenerg-3144	509	20	state	state	PROPN
fuelectenerg-3144	509	21	encoding	encoding	NOUN
fuelectenerg-3144	509	22	problem	problem	NOUN
fuelectenerg-3144	509	23	in	in	ADP
fuelectenerg-3144	509	24	the	the	DET
fuelectenerg-3144	509	25	remainder	remainder	NOUN
fuelectenerg-3144	509	26	of	of	ADP
fuelectenerg-3144	509	27	this	this	DET
fuelectenerg-3144	509	28	paper	paper	NOUN
fuelectenerg-3144	509	29	.	.	PUNCT
fuelectenerg-3144	510	1	ancilla	ancilla	PROPN
fuelectenerg-3144	510	2	qubits	qubit	NOUN
fuelectenerg-3144	510	3	are	be	AUX
fuelectenerg-3144	510	4	extra	extra	ADJ
fuelectenerg-3144	510	5	qubits	qubit	NOUN
fuelectenerg-3144	510	6	that	that	PRON
fuelectenerg-3144	510	7	are	be	AUX
fuelectenerg-3144	510	8	used	use	VERB
fuelectenerg-3144	510	9	by	by	ADP
fuelectenerg-3144	510	10	a	a	DET
fuelectenerg-3144	510	11	quantum	quantum	ADJ
fuelectenerg-3144	510	12	oracle	oracle	NOUN
fuelectenerg-3144	510	13	to	to	PART
fuelectenerg-3144	510	14	store	store	VERB
fuelectenerg-3144	510	15	intermediate	intermediate	ADJ
fuelectenerg-3144	510	16	results	result	NOUN
fuelectenerg-3144	510	17	while	while	SCONJ
fuelectenerg-3144	510	18	it	it	PRON
fuelectenerg-3144	510	19	is	be	AUX
fuelectenerg-3144	510	20	performing	perform	VERB
fuelectenerg-3144	510	21	its	its	PRON
fuelectenerg-3144	510	22	computations	computation	NOUN
fuelectenerg-3144	510	23	.	.	PUNCT
fuelectenerg-3144	511	1	they	they	PRON
fuelectenerg-3144	511	2	are	be	AUX
fuelectenerg-3144	511	3	initialized	initialize	VERB
fuelectenerg-3144	511	4	to	to	ADP
fuelectenerg-3144	511	5	a	a	DET
fuelectenerg-3144	511	6	value	value	NOUN
fuelectenerg-3144	511	7	of	of	ADP
fuelectenerg-3144	511	8	the	the	DET
fuelectenerg-3144	511	9	quantum	quantum	ADJ
fuelectenerg-3144	511	10	circuit	circuit	NOUN
fuelectenerg-3144	511	11	designer	designer	NOUN
fuelectenerg-3144	511	12	’s	’s	PART
fuelectenerg-3144	511	13	choice	choice	NOUN
fuelectenerg-3144	511	14	.	.	PUNCT
fuelectenerg-3144	512	1	a	a	DET
fuelectenerg-3144	512	2	quantum	quantum	ADJ
fuelectenerg-3144	512	3	oracle	oracle	NOUN
fuelectenerg-3144	512	4	only	only	ADV
fuelectenerg-3144	512	5	uses	use	VERB
fuelectenerg-3144	512	6	ancilla	ancilla	PROPN
fuelectenerg-3144	512	7	qubits	qubit	NOUN
fuelectenerg-3144	512	8	internally	internally	ADV
fuelectenerg-3144	512	9	;	;	PUNCT
fuelectenerg-3144	512	10	externally	externally	ADV
fuelectenerg-3144	512	11	,	,	PUNCT
fuelectenerg-3144	512	12	it	it	PRON
fuelectenerg-3144	512	13	should	should	AUX
fuelectenerg-3144	512	14	appear	appear	VERB
fuelectenerg-3144	512	15	as	as	SCONJ
fuelectenerg-3144	512	16	if	if	SCONJ
fuelectenerg-3144	512	17	ancilla	ancilla	PROPN
fuelectenerg-3144	512	18	qubits	qubit	NOUN
fuelectenerg-3144	512	19	simply	simply	ADV
fuelectenerg-3144	512	20	“	"	PUNCT
fuelectenerg-3144	512	21	pass	pass	VERB
fuelectenerg-3144	512	22	through	through	ADP
fuelectenerg-3144	512	23	”	"	PUNCT
fuelectenerg-3144	512	24	the	the	DET
fuelectenerg-3144	512	25	oracle	oracle	NOUN
fuelectenerg-3144	512	26	with	with	ADP
fuelectenerg-3144	512	27	no	no	DET
fuelectenerg-3144	512	28	change	change	NOUN
fuelectenerg-3144	512	29	.	.	PUNCT
fuelectenerg-3144	513	1	in	in	ADP
fuelectenerg-3144	513	2	other	other	ADJ
fuelectenerg-3144	513	3	words	word	NOUN
fuelectenerg-3144	513	4	,	,	PUNCT
fuelectenerg-3144	513	5	ancilla	ancilla	PROPN
fuelectenerg-3144	513	6	qubits	qubit	NOUN
fuelectenerg-3144	513	7	do	do	AUX
fuelectenerg-3144	513	8	not	not	PART
fuelectenerg-3144	513	9	externally	externally	ADV
fuelectenerg-3144	513	10	appear	appear	VERB
fuelectenerg-3144	513	11	to	to	PART
fuelectenerg-3144	513	12	participate	participate	VERB
fuelectenerg-3144	513	13	in	in	ADP
fuelectenerg-3144	513	14	the	the	DET
fuelectenerg-3144	513	15	oracle	oracle	NOUN
fuelectenerg-3144	513	16	’s	’s	PART
fuelectenerg-3144	513	17	operation	operation	NOUN
fuelectenerg-3144	513	18	at	at	ADV
fuelectenerg-3144	513	19	all	all	ADV
fuelectenerg-3144	513	20	;	;	PUNCT
fuelectenerg-3144	513	21	they	they	PRON
fuelectenerg-3144	513	22	participate	participate	VERB
fuelectenerg-3144	513	23	internally	internally	ADV
fuelectenerg-3144	513	24	and	and	CCONJ
fuelectenerg-3144	513	25	only	only	ADV
fuelectenerg-3144	513	26	for	for	ADP
fuelectenerg-3144	513	27	the	the	DET
fuelectenerg-3144	513	28	purpose	purpose	NOUN
fuelectenerg-3144	513	29	of	of	ADP
fuelectenerg-3144	513	30	acting	act	VERB
fuelectenerg-3144	513	31	as	as	ADP
fuelectenerg-3144	513	32	temporary	temporary	ADJ
fuelectenerg-3144	513	33	storage	storage	NOUN
fuelectenerg-3144	513	34	.	.	PUNCT
fuelectenerg-3144	514	1	ancilla	ancilla	PROPN
fuelectenerg-3144	514	2	qubits	qubit	NOUN
fuelectenerg-3144	514	3	are	be	AUX
fuelectenerg-3144	514	4	usually	usually	ADV
fuelectenerg-3144	514	5	employed	employ	VERB
fuelectenerg-3144	514	6	to	to	PART
fuelectenerg-3144	514	7	reduce	reduce	VERB
fuelectenerg-3144	514	8	the	the	DET
fuelectenerg-3144	514	9	quantum	quantum	NOUN
fuelectenerg-3144	514	10	circuit	circuit	NOUN
fuelectenerg-3144	514	11	cost	cost	NOUN
fuelectenerg-3144	514	12	of	of	ADP
fuelectenerg-3144	514	13	a	a	DET
fuelectenerg-3144	514	14	quantum	quantum	ADJ
fuelectenerg-3144	514	15	oracle	oracle	NOUN
fuelectenerg-3144	514	16	.	.	PUNCT
fuelectenerg-3144	515	1	a	a	DET
fuelectenerg-3144	515	2	quantum	quantum	NOUN
fuelectenerg-3144	515	3	circuit	circuit	NOUN
fuelectenerg-3144	515	4	using	use	VERB
fuelectenerg-3144	515	5	ancilla	ancilla	PROPN
fuelectenerg-3144	515	6	qubits	qubit	NOUN
fuelectenerg-3144	515	7	often	often	ADV
fuelectenerg-3144	515	8	has	have	VERB
fuelectenerg-3144	515	9	lower	low	ADJ
fuelectenerg-3144	515	10	quantum	quantum	NOUN
fuelectenerg-3144	515	11	cost	cost	NOUN
fuelectenerg-3144	515	12	than	than	ADP
fuelectenerg-3144	515	13	an	an	DET
fuelectenerg-3144	515	14	equivalent	equivalent	ADJ
fuelectenerg-3144	515	15	circuit	circuit	NOUN
fuelectenerg-3144	515	16	without	without	ADP
fuelectenerg-3144	515	17	ancilla	ancilla	NOUN
fuelectenerg-3144	515	18	qubits	qubit	NOUN
fuelectenerg-3144	515	19	.	.	PUNCT
fuelectenerg-3144	516	1	for	for	ADP
fuelectenerg-3144	516	2	instance	instance	NOUN
fuelectenerg-3144	516	3	,	,	PUNCT
fuelectenerg-3144	516	4	figure	figure	VERB
fuelectenerg-3144	516	5	8	8	NUM
fuelectenerg-3144	516	6	shows	show	VERB
fuelectenerg-3144	516	7	a	a	DET
fuelectenerg-3144	516	8	quantum	quantum	ADJ
fuelectenerg-3144	516	9	oracle	oracle	NOUN
fuelectenerg-3144	516	10	for	for	ADP
fuelectenerg-3144	516	11	the	the	DET
fuelectenerg-3144	516	12	function	function	NOUN
fuelectenerg-3144	516	13	f	f	NOUN
fuelectenerg-3144	517	1	=	=	PUNCT
fuelectenerg-3144	518	1	(	(	PUNCT
fuelectenerg-3144	518	2	x1	x1	PROPN
fuelectenerg-3144	518	3	+	+	PROPN
fuelectenerg-3144	518	4	x2)(x3	x2)(x3	PROPN
fuelectenerg-3144	519	1	+	+	CCONJ
fuelectenerg-3144	519	2	x4	x4	PROPN
fuelectenerg-3144	519	3	)	)	PUNCT
fuelectenerg-3144	519	4	using	use	VERB
fuelectenerg-3144	519	5	two	two	NUM
fuelectenerg-3144	519	6	ancilla	ancilla	NOUN
fuelectenerg-3144	519	7	qubits	qubit	NOUN
fuelectenerg-3144	519	8	.	.	PUNCT
fuelectenerg-3144	520	1	it	it	PRON
fuelectenerg-3144	520	2	is	be	AUX
fuelectenerg-3144	520	3	possible	possible	ADJ
fuelectenerg-3144	520	4	to	to	PART
fuelectenerg-3144	520	5	design	design	VERB
fuelectenerg-3144	520	6	a	a	DET
fuelectenerg-3144	520	7	quantum	quantum	ADJ
fuelectenerg-3144	520	8	oracle	oracle	NOUN
fuelectenerg-3144	520	9	for	for	ADP
fuelectenerg-3144	520	10	this	this	DET
fuelectenerg-3144	520	11	function	function	NOUN
fuelectenerg-3144	520	12	without	without	ADP
fuelectenerg-3144	520	13	ancilla	ancilla	NOUN
fuelectenerg-3144	520	14	qubits	qubit	NOUN
fuelectenerg-3144	520	15	,	,	PUNCT
fuelectenerg-3144	520	16	but	but	CCONJ
fuelectenerg-3144	520	17	the	the	DET
fuelectenerg-3144	520	18	4strictly	4strictly	ADV
fuelectenerg-3144	520	19	speaking	speak	VERB
fuelectenerg-3144	520	20	,	,	PUNCT
fuelectenerg-3144	520	21	the	the	DET
fuelectenerg-3144	520	22	viability	viability	NOUN
fuelectenerg-3144	520	23	of	of	ADP
fuelectenerg-3144	520	24	this	this	DET
fuelectenerg-3144	520	25	second	second	ADJ
fuelectenerg-3144	520	26	method	method	NOUN
fuelectenerg-3144	520	27	is	be	AUX
fuelectenerg-3144	520	28	actually	actually	ADV
fuelectenerg-3144	520	29	not	not	PART
fuelectenerg-3144	520	30	absolutely	absolutely	ADV
fuelectenerg-3144	520	31	clear	clear	ADJ
fuelectenerg-3144	520	32	,	,	PUNCT
fuelectenerg-3144	520	33	although	although	SCONJ
fuelectenerg-3144	520	34	it	it	PRON
fuelectenerg-3144	520	35	should	should	AUX
fuelectenerg-3144	520	36	likely	likely	ADV
fuelectenerg-3144	520	37	work	work	VERB
fuelectenerg-3144	520	38	.	.	PUNCT
fuelectenerg-3144	521	1	the	the	DET
fuelectenerg-3144	521	2	difficulty	difficulty	NOUN
fuelectenerg-3144	521	3	is	be	AUX
fuelectenerg-3144	521	4	that	that	SCONJ
fuelectenerg-3144	521	5	the	the	DET
fuelectenerg-3144	521	6	quantum	quantum	NOUN
fuelectenerg-3144	521	7	counting	counting	NOUN
fuelectenerg-3144	521	8	algorithm	algorithm	NOUN
fuelectenerg-3144	521	9	in	in	ADP
fuelectenerg-3144	521	10	[	[	X
fuelectenerg-3144	521	11	18	18	NUM
fuelectenerg-3144	521	12	]	]	PUNCT
fuelectenerg-3144	521	13	only	only	ADV
fuelectenerg-3144	521	14	provides	provide	VERB
fuelectenerg-3144	521	15	an	an	DET
fuelectenerg-3144	521	16	approximate	approximate	ADJ
fuelectenerg-3144	521	17	estimate	estimate	NOUN
fuelectenerg-3144	521	18	of	of	ADP
fuelectenerg-3144	521	19	the	the	DET
fuelectenerg-3144	521	20	number	number	NOUN
fuelectenerg-3144	521	21	of	of	ADP
fuelectenerg-3144	521	22	solutions	solution	NOUN
fuelectenerg-3144	521	23	,	,	PUNCT
fuelectenerg-3144	521	24	while	while	SCONJ
fuelectenerg-3144	521	25	[	[	X
fuelectenerg-3144	521	26	17	17	NUM
fuelectenerg-3144	521	27	]	]	PUNCT
fuelectenerg-3144	521	28	assumes	assume	VERB
fuelectenerg-3144	521	29	knowledge	knowledge	NOUN
fuelectenerg-3144	521	30	of	of	ADP
fuelectenerg-3144	521	31	the	the	DET
fuelectenerg-3144	521	32	exact	exact	ADJ
fuelectenerg-3144	521	33	number	number	NOUN
fuelectenerg-3144	521	34	of	of	ADP
fuelectenerg-3144	521	35	solutions	solution	NOUN
fuelectenerg-3144	521	36	.	.	PUNCT
fuelectenerg-3144	522	1	a	a	DET
fuelectenerg-3144	522	2	brief	brief	ADJ
fuelectenerg-3144	522	3	consideration	consideration	NOUN
fuelectenerg-3144	522	4	of	of	ADP
fuelectenerg-3144	522	5	the	the	DET
fuelectenerg-3144	522	6	mathematical	mathematical	ADJ
fuelectenerg-3144	522	7	analysis	analysis	NOUN
fuelectenerg-3144	522	8	used	use	VERB
fuelectenerg-3144	522	9	in	in	ADP
fuelectenerg-3144	522	10	[	[	X
fuelectenerg-3144	522	11	17	17	NUM
fuelectenerg-3144	522	12	]	]	PUNCT
fuelectenerg-3144	522	13	suggests	suggest	VERB
fuelectenerg-3144	522	14	that	that	SCONJ
fuelectenerg-3144	522	15	the	the	DET
fuelectenerg-3144	522	16	method	method	NOUN
fuelectenerg-3144	522	17	will	will	AUX
fuelectenerg-3144	522	18	still	still	ADV
fuelectenerg-3144	522	19	succeed	succeed	VERB
fuelectenerg-3144	522	20	with	with	ADP
fuelectenerg-3144	522	21	high	high	ADJ
fuelectenerg-3144	522	22	probability	probability	NOUN
fuelectenerg-3144	522	23	with	with	ADP
fuelectenerg-3144	522	24	only	only	ADV
fuelectenerg-3144	522	25	an	an	DET
fuelectenerg-3144	522	26	estimate	estimate	NOUN
fuelectenerg-3144	522	27	of	of	ADP
fuelectenerg-3144	522	28	the	the	DET
fuelectenerg-3144	522	29	number	number	NOUN
fuelectenerg-3144	522	30	of	of	ADP
fuelectenerg-3144	522	31	solutions	solution	NOUN
fuelectenerg-3144	522	32	,	,	PUNCT
fuelectenerg-3144	522	33	as	as	ADV
fuelectenerg-3144	522	34	long	long	ADV
fuelectenerg-3144	522	35	as	as	SCONJ
fuelectenerg-3144	522	36	this	this	DET
fuelectenerg-3144	522	37	estimate	estimate	NOUN
fuelectenerg-3144	522	38	is	be	AUX
fuelectenerg-3144	522	39	reasonably	reasonably	ADV
fuelectenerg-3144	522	40	accurate	accurate	ADJ
fuelectenerg-3144	522	41	.	.	PUNCT
fuelectenerg-3144	523	1	however	however	ADV
fuelectenerg-3144	523	2	,	,	PUNCT
fuelectenerg-3144	523	3	the	the	DET
fuelectenerg-3144	523	4	authors	author	NOUN
fuelectenerg-3144	523	5	in	in	ADP
fuelectenerg-3144	523	6	[	[	X
fuelectenerg-3144	523	7	17	17	NUM
fuelectenerg-3144	523	8	]	]	PUNCT
fuelectenerg-3144	523	9	do	do	AUX
fuelectenerg-3144	523	10	not	not	PART
fuelectenerg-3144	523	11	rigorously	rigorously	ADV
fuelectenerg-3144	523	12	prove	prove	VERB
fuelectenerg-3144	523	13	this	this	DET
fuelectenerg-3144	523	14	assertion	assertion	NOUN
fuelectenerg-3144	523	15	.	.	PUNCT
fuelectenerg-3144	524	1	in	in	ADP
fuelectenerg-3144	524	2	any	any	DET
fuelectenerg-3144	524	3	case	case	NOUN
fuelectenerg-3144	524	4	,	,	PUNCT
fuelectenerg-3144	524	5	the	the	DET
fuelectenerg-3144	524	6	validity	validity	NOUN
fuelectenerg-3144	524	7	of	of	ADP
fuelectenerg-3144	524	8	our	our	PRON
fuelectenerg-3144	524	9	present	present	ADJ
fuelectenerg-3144	524	10	work	work	NOUN
fuelectenerg-3144	524	11	is	be	AUX
fuelectenerg-3144	524	12	unaffected	unaffected	ADJ
fuelectenerg-3144	524	13	since	since	SCONJ
fuelectenerg-3144	524	14	[	[	X
fuelectenerg-3144	524	15	17	17	NUM
fuelectenerg-3144	524	16	]	]	PUNCT
fuelectenerg-3144	524	17	also	also	ADV
fuelectenerg-3144	524	18	give	give	VERB
fuelectenerg-3144	524	19	a	a	DET
fuelectenerg-3144	524	20	method	method	NOUN
fuelectenerg-3144	524	21	for	for	ADP
fuelectenerg-3144	524	22	finding	find	VERB
fuelectenerg-3144	524	23	one	one	NUM
fuelectenerg-3144	524	24	of	of	ADP
fuelectenerg-3144	524	25	an	an	DET
fuelectenerg-3144	524	26	unknown	unknown	ADJ
fuelectenerg-3144	524	27	number	number	NOUN
fuelectenerg-3144	524	28	of	of	ADP
fuelectenerg-3144	524	29	solutions	solution	NOUN
fuelectenerg-3144	524	30	,	,	PUNCT
fuelectenerg-3144	524	31	as	as	SCONJ
fuelectenerg-3144	524	32	mentioned	mention	VERB
fuelectenerg-3144	524	33	in	in	ADP
fuelectenerg-3144	524	34	the	the	DET
fuelectenerg-3144	524	35	main	main	ADJ
fuelectenerg-3144	524	36	text	text	NOUN
fuelectenerg-3144	524	37	.	.	PUNCT
fuelectenerg-3144	525	1	15	15	NUM
fuelectenerg-3144	525	2	182	182	NUM
fuelectenerg-3144	525	3	e.	e.	PROPN
fuelectenerg-3144	525	4	tsai	tsai	PROPN
fuelectenerg-3144	525	5	,	,	PUNCT
fuelectenerg-3144	525	6	m.	m.	PROPN
fuelectenerg-3144	525	7	perkowski	perkowski	PROPN
fuelectenerg-3144	525	8	a	a	DET
fuelectenerg-3144	525	9	quantum	quantum	ADJ
fuelectenerg-3144	525	10	algorithm	algorithm	NOUN
fuelectenerg-3144	525	11	for	for	ADP
fuelectenerg-3144	525	12	automata	automata	NOUN
fuelectenerg-3144	525	13	encoding	encode	VERB
fuelectenerg-3144	525	14	183	183	NUM
fuelectenerg-3144	525	15	potentially	potentially	ADV
fuelectenerg-3144	525	16	satisfy	satisfy	VERB
fuelectenerg-3144	525	17	f	f	PROPN
fuelectenerg-3144	525	18	.	.	PUNCT
fuelectenerg-3144	526	1	therefore	therefore	ADV
fuelectenerg-3144	526	2	,	,	PUNCT
fuelectenerg-3144	526	3	before	before	ADP
fuelectenerg-3144	526	4	performing	perform	VERB
fuelectenerg-3144	526	5	the	the	DET
fuelectenerg-3144	526	6	amplitude	amplitude	NOUN
fuelectenerg-3144	526	7	amplification	amplification	NOUN
fuelectenerg-3144	526	8	procedure	procedure	NOUN
fuelectenerg-3144	526	9	,	,	PUNCT
fuelectenerg-3144	526	10	grover	grover	PROPN
fuelectenerg-3144	526	11	’s	’s	PART
fuelectenerg-3144	526	12	algorithm	algorithm	NOUN
fuelectenerg-3144	526	13	first	first	ADV
fuelectenerg-3144	526	14	initializes	initialize	VERB
fuelectenerg-3144	526	15	the	the	DET
fuelectenerg-3144	526	16	qubits	qubit	NOUN
fuelectenerg-3144	526	17	that	that	PRON
fuelectenerg-3144	526	18	will	will	AUX
fuelectenerg-3144	526	19	serve	serve	VERB
fuelectenerg-3144	526	20	as	as	ADP
fuelectenerg-3144	526	21	inputs	input	NOUN
fuelectenerg-3144	526	22	to	to	ADP
fuelectenerg-3144	526	23	the	the	DET
fuelectenerg-3144	526	24	quantum	quantum	NOUN
fuelectenerg-3144	526	25	oracle	oracle	NOUN
fuelectenerg-3144	526	26	,	,	PUNCT
fuelectenerg-3144	526	27	x1	x1	PROPN
fuelectenerg-3144	526	28	through	through	ADP
fuelectenerg-3144	526	29	xn	xn	PROPN
fuelectenerg-3144	526	30	,	,	PUNCT
fuelectenerg-3144	526	31	to	to	ADP
fuelectenerg-3144	526	32	a	a	DET
fuelectenerg-3144	526	33	superposition	superposition	NOUN
fuelectenerg-3144	526	34	of	of	ADP
fuelectenerg-3144	526	35	all	all	DET
fuelectenerg-3144	526	36	possible	possible	ADJ
fuelectenerg-3144	526	37	states	state	NOUN
fuelectenerg-3144	526	38	.	.	PUNCT
fuelectenerg-3144	527	1	conventionally	conventionally	ADV
fuelectenerg-3144	527	2	,	,	PUNCT
fuelectenerg-3144	527	3	this	this	PRON
fuelectenerg-3144	527	4	is	be	AUX
fuelectenerg-3144	527	5	accomplished	accomplish	VERB
fuelectenerg-3144	527	6	by	by	ADP
fuelectenerg-3144	527	7	initializing	initialize	VERB
fuelectenerg-3144	527	8	each	each	DET
fuelectenerg-3144	527	9	input	input	NOUN
fuelectenerg-3144	527	10	qubit	qubit	NOUN
fuelectenerg-3144	527	11	(	(	PUNCT
fuelectenerg-3144	527	12	x1	x1	PROPN
fuelectenerg-3144	527	13	through	through	ADP
fuelectenerg-3144	527	14	xn	xn	NUM
fuelectenerg-3144	527	15	)	)	PUNCT
fuelectenerg-3144	527	16	to	to	ADP
fuelectenerg-3144	527	17	|0	|0	NUM
fuelectenerg-3144	527	18	〉	〉	PROPN
fuelectenerg-3144	527	19	and	and	CCONJ
fuelectenerg-3144	527	20	then	then	ADV
fuelectenerg-3144	527	21	applying	apply	VERB
fuelectenerg-3144	527	22	a	a	DET
fuelectenerg-3144	527	23	hadamard	hadamard	ADJ
fuelectenerg-3144	527	24	gate	gate	NOUN
fuelectenerg-3144	527	25	to	to	ADP
fuelectenerg-3144	527	26	each	each	DET
fuelectenerg-3144	527	27	input	input	NOUN
fuelectenerg-3144	527	28	qubit	qubit	NOUN
fuelectenerg-3144	527	29	,	,	PUNCT
fuelectenerg-3144	527	30	as	as	SCONJ
fuelectenerg-3144	527	31	shown	show	VERB
fuelectenerg-3144	527	32	in	in	ADP
fuelectenerg-3144	527	33	figure	figure	NOUN
fuelectenerg-3144	527	34	3	3	NUM
fuelectenerg-3144	527	35	.	.	PUNCT
fuelectenerg-3144	527	36	similarly	similarly	ADV
fuelectenerg-3144	527	37	,	,	PUNCT
fuelectenerg-3144	527	38	the	the	DET
fuelectenerg-3144	527	39	quantum	quantum	PROPN
fuelectenerg-3144	527	40	oracle	oracle	NOUN
fuelectenerg-3144	527	41	’s	’s	PART
fuelectenerg-3144	527	42	output	output	NOUN
fuelectenerg-3144	527	43	qubit	qubit	NOUN
fuelectenerg-3144	527	44	is	be	AUX
fuelectenerg-3144	527	45	initialized	initialize	VERB
fuelectenerg-3144	527	46	to	to	ADP
fuelectenerg-3144	527	47	1√	1√	PROPN
fuelectenerg-3144	527	48	2	2	NUM
fuelectenerg-3144	527	49	(	(	PUNCT
fuelectenerg-3144	527	50	|0〉−	|0〉−	NUM
fuelectenerg-3144	527	51	|1	|1	SYM
fuelectenerg-3144	527	52	〉	〉	NOUN
fuelectenerg-3144	527	53	)	)	PUNCT
fuelectenerg-3144	527	54	by	by	ADP
fuelectenerg-3144	527	55	applying	apply	VERB
fuelectenerg-3144	527	56	a	a	DET
fuelectenerg-3144	527	57	hadamard	hadamard	ADJ
fuelectenerg-3144	527	58	gate	gate	NOUN
fuelectenerg-3144	527	59	to	to	ADP
fuelectenerg-3144	527	60	an	an	DET
fuelectenerg-3144	527	61	initial	initial	ADJ
fuelectenerg-3144	527	62	state	state	NOUN
fuelectenerg-3144	527	63	of	of	ADP
fuelectenerg-3144	527	64	|1	|1	PRON
fuelectenerg-3144	527	65	〉	〉	NOUN
fuelectenerg-3144	527	66	,	,	PUNCT
fuelectenerg-3144	527	67	also	also	ADV
fuelectenerg-3144	527	68	shown	show	VERB
fuelectenerg-3144	527	69	in	in	ADP
fuelectenerg-3144	527	70	figure	figure	NOUN
fuelectenerg-3144	527	71	3	3	NUM
fuelectenerg-3144	527	72	.	.	PUNCT
fuelectenerg-3144	528	1	following	follow	VERB
fuelectenerg-3144	528	2	completion	completion	NOUN
fuelectenerg-3144	528	3	of	of	ADP
fuelectenerg-3144	528	4	the	the	DET
fuelectenerg-3144	528	5	amplitude	amplitude	NOUN
fuelectenerg-3144	528	6	amplification	amplification	NOUN
fuelectenerg-3144	528	7	procedure	procedure	NOUN
fuelectenerg-3144	528	8	,	,	PUNCT
fuelectenerg-3144	528	9	the	the	DET
fuelectenerg-3144	528	10	qubits	qubit	NOUN
fuelectenerg-3144	528	11	x1	x1	ADJ
fuelectenerg-3144	528	12	through	through	ADP
fuelectenerg-3144	528	13	xn	xn	PROPN
fuelectenerg-3144	528	14	are	be	AUX
fuelectenerg-3144	528	15	measured	measure	VERB
fuelectenerg-3144	528	16	to	to	PART
fuelectenerg-3144	528	17	obtain	obtain	VERB
fuelectenerg-3144	528	18	the	the	DET
fuelectenerg-3144	528	19	final	final	ADJ
fuelectenerg-3144	528	20	output	output	NOUN
fuelectenerg-3144	528	21	of	of	ADP
fuelectenerg-3144	528	22	grover	grover	PROPN
fuelectenerg-3144	528	23	’s	’s	PART
fuelectenerg-3144	528	24	algorithm	algorithm	NOUN
fuelectenerg-3144	528	25	;	;	PUNCT
fuelectenerg-3144	528	26	figure	figure	NOUN
fuelectenerg-3144	528	27	3	3	NUM
fuelectenerg-3144	528	28	indicates	indicate	VERB
fuelectenerg-3144	528	29	this	this	DET
fuelectenerg-3144	528	30	measurement	measurement	NOUN
fuelectenerg-3144	528	31	on	on	ADP
fuelectenerg-3144	528	32	the	the	DET
fuelectenerg-3144	528	33	right	right	ADJ
fuelectenerg-3144	528	34	-	-	PUNCT
fuelectenerg-3144	528	35	hand	hand	NOUN
fuelectenerg-3144	528	36	side	side	NOUN
fuelectenerg-3144	528	37	using	use	VERB
fuelectenerg-3144	528	38	the	the	DET
fuelectenerg-3144	528	39	standard	standard	ADJ
fuelectenerg-3144	528	40	leftpointing	leftpointing	ADJ
fuelectenerg-3144	528	41	triangular	triangular	NOUN
fuelectenerg-3144	528	42	symbol	symbol	NOUN
fuelectenerg-3144	528	43	.	.	PUNCT
fuelectenerg-3144	529	1	we	we	PRON
fuelectenerg-3144	529	2	therefore	therefore	ADV
fuelectenerg-3144	529	3	see	see	VERB
fuelectenerg-3144	529	4	that	that	SCONJ
fuelectenerg-3144	529	5	the	the	DET
fuelectenerg-3144	529	6	complete	complete	ADJ
fuelectenerg-3144	529	7	grover	grover	PROPN
fuelectenerg-3144	529	8	’s	’s	PART
fuelectenerg-3144	529	9	algorithm	algorithm	NOUN
fuelectenerg-3144	529	10	consists	consist	VERB
fuelectenerg-3144	529	11	of	of	ADP
fuelectenerg-3144	529	12	the	the	DET
fuelectenerg-3144	529	13	following	follow	VERB
fuelectenerg-3144	529	14	steps	step	NOUN
fuelectenerg-3144	529	15	:	:	PUNCT
fuelectenerg-3144	529	16	1	1	X
fuelectenerg-3144	529	17	.	.	X
fuelectenerg-3144	529	18	begin	begin	VERB
fuelectenerg-3144	529	19	with	with	ADP
fuelectenerg-3144	529	20	n	n	CCONJ
fuelectenerg-3144	529	21	input	input	NOUN
fuelectenerg-3144	529	22	qubits	qubit	NOUN
fuelectenerg-3144	529	23	and	and	CCONJ
fuelectenerg-3144	529	24	one	one	NUM
fuelectenerg-3144	529	25	output	output	NOUN
fuelectenerg-3144	529	26	qubit	qubit	NOUN
fuelectenerg-3144	529	27	,	,	PUNCT
fuelectenerg-3144	529	28	initialized	initialize	VERB
fuelectenerg-3144	529	29	as	as	SCONJ
fuelectenerg-3144	529	30	described	describe	VERB
fuelectenerg-3144	529	31	in	in	ADP
fuelectenerg-3144	529	32	the	the	DET
fuelectenerg-3144	529	33	preceding	precede	VERB
fuelectenerg-3144	529	34	paragraph	paragraph	NOUN
fuelectenerg-3144	529	35	.	.	PUNCT
fuelectenerg-3144	530	1	2	2	X
fuelectenerg-3144	530	2	.	.	X
fuelectenerg-3144	530	3	perform	perform	VERB
fuelectenerg-3144	530	4	the	the	DET
fuelectenerg-3144	530	5	amplitude	amplitude	NOUN
fuelectenerg-3144	530	6	amplification	amplification	NOUN
fuelectenerg-3144	530	7	procedure	procedure	NOUN
fuelectenerg-3144	530	8	by	by	ADP
fuelectenerg-3144	530	9	applying	apply	VERB
fuelectenerg-3144	530	10	the	the	DET
fuelectenerg-3144	530	11	grover	grover	NOUN
fuelectenerg-3144	530	12	iterate	iterate	NOUN
fuelectenerg-3144	530	13	√	√	PROPN
fuelectenerg-3144	530	14	n	n	NUM
fuelectenerg-3144	530	15	times	time	NOUN
fuelectenerg-3144	530	16	as	as	ADP
fuelectenerg-3144	530	17	previously	previously	ADV
fuelectenerg-3144	530	18	described	describe	VERB
fuelectenerg-3144	530	19	.	.	PUNCT
fuelectenerg-3144	531	1	3	3	X
fuelectenerg-3144	531	2	.	.	X
fuelectenerg-3144	531	3	measure	measure	VERB
fuelectenerg-3144	531	4	the	the	DET
fuelectenerg-3144	531	5	input	input	NOUN
fuelectenerg-3144	531	6	qubits	qubit	NOUN
fuelectenerg-3144	531	7	;	;	PUNCT
fuelectenerg-3144	531	8	the	the	DET
fuelectenerg-3144	531	9	result	result	NOUN
fuelectenerg-3144	531	10	of	of	ADP
fuelectenerg-3144	531	11	measurement	measurement	NOUN
fuelectenerg-3144	531	12	forms	form	VERB
fuelectenerg-3144	531	13	the	the	DET
fuelectenerg-3144	531	14	output	output	NOUN
fuelectenerg-3144	531	15	of	of	ADP
fuelectenerg-3144	531	16	grover	grover	PROPN
fuelectenerg-3144	531	17	’s	’s	PART
fuelectenerg-3144	531	18	algorithm	algorithm	NOUN
fuelectenerg-3144	531	19	.	.	PUNCT
fuelectenerg-3144	532	1	since	since	SCONJ
fuelectenerg-3144	532	2	the	the	DET
fuelectenerg-3144	532	3	initialization	initialization	NOUN
fuelectenerg-3144	532	4	and	and	CCONJ
fuelectenerg-3144	532	5	measurement	measurement	NOUN
fuelectenerg-3144	532	6	steps	step	NOUN
fuelectenerg-3144	532	7	in	in	ADP
fuelectenerg-3144	532	8	grover	grover	NOUN
fuelectenerg-3144	532	9	’s	’s	PART
fuelectenerg-3144	532	10	algorithm	algorithm	NOUN
fuelectenerg-3144	532	11	are	be	AUX
fuelectenerg-3144	532	12	proportional	proportional	ADJ
fuelectenerg-3144	532	13	to	to	ADP
fuelectenerg-3144	532	14	the	the	DET
fuelectenerg-3144	532	15	number	number	NOUN
fuelectenerg-3144	532	16	of	of	ADP
fuelectenerg-3144	532	17	qubits	qubit	NOUN
fuelectenerg-3144	532	18	used	use	VERB
fuelectenerg-3144	532	19	,	,	PUNCT
fuelectenerg-3144	532	20	which	which	PRON
fuelectenerg-3144	532	21	is	be	AUX
fuelectenerg-3144	532	22	on	on	ADP
fuelectenerg-3144	532	23	the	the	DET
fuelectenerg-3144	532	24	order	order	NOUN
fuelectenerg-3144	532	25	of	of	ADP
fuelectenerg-3144	532	26	n	n	NOUN
fuelectenerg-3144	532	27	=	=	PUNCT
fuelectenerg-3144	532	28	log2	log2	PROPN
fuelectenerg-3144	532	29	n	n	CCONJ
fuelectenerg-3144	532	30	,	,	PUNCT
fuelectenerg-3144	532	31	the	the	DET
fuelectenerg-3144	532	32	number	number	NOUN
fuelectenerg-3144	532	33	of	of	ADP
fuelectenerg-3144	532	34	variables	variable	NOUN
fuelectenerg-3144	532	35	of	of	ADP
fuelectenerg-3144	532	36	f	f	PROPN
fuelectenerg-3144	532	37	,	,	PUNCT
fuelectenerg-3144	532	38	the	the	DET
fuelectenerg-3144	532	39	o	o	NOUN
fuelectenerg-3144	532	40	(	(	PUNCT
fuelectenerg-3144	532	41	√	√	NUM
fuelectenerg-3144	532	42	n	n	CCONJ
fuelectenerg-3144	532	43	)	)	PUNCT
fuelectenerg-3144	532	44	time	time	NOUN
fuelectenerg-3144	532	45	required	require	VERB
fuelectenerg-3144	532	46	for	for	ADP
fuelectenerg-3144	532	47	the	the	DET
fuelectenerg-3144	532	48	amplitude	amplitude	NOUN
fuelectenerg-3144	532	49	amplification	amplification	NOUN
fuelectenerg-3144	532	50	procedure	procedure	NOUN
fuelectenerg-3144	532	51	forms	form	VERB
fuelectenerg-3144	532	52	the	the	DET
fuelectenerg-3144	532	53	dominant	dominant	ADJ
fuelectenerg-3144	532	54	contribution	contribution	NOUN
fuelectenerg-3144	532	55	to	to	ADP
fuelectenerg-3144	532	56	the	the	DET
fuelectenerg-3144	532	57	overall	overall	ADJ
fuelectenerg-3144	532	58	runtime	runtime	NOUN
fuelectenerg-3144	532	59	of	of	ADP
fuelectenerg-3144	532	60	grover	grover	PROPN
fuelectenerg-3144	532	61	’s	’s	PART
fuelectenerg-3144	532	62	algorithm	algorithm	NOUN
fuelectenerg-3144	532	63	.	.	PUNCT
fuelectenerg-3144	533	1	therefore	therefore	ADV
fuelectenerg-3144	533	2	,	,	PUNCT
fuelectenerg-3144	533	3	grover	grover	PROPN
fuelectenerg-3144	533	4	’s	’s	PART
fuelectenerg-3144	533	5	algorithm	algorithm	NOUN
fuelectenerg-3144	533	6	requires	require	VERB
fuelectenerg-3144	533	7	a	a	DET
fuelectenerg-3144	533	8	time	time	NOUN
fuelectenerg-3144	533	9	complexity	complexity	NOUN
fuelectenerg-3144	533	10	of	of	ADP
fuelectenerg-3144	533	11	o	o	PROPN
fuelectenerg-3144	533	12	(	(	PUNCT
fuelectenerg-3144	533	13	√	√	NUM
fuelectenerg-3144	533	14	n	n	CCONJ
fuelectenerg-3144	533	15	)	)	PUNCT
fuelectenerg-3144	533	16	.	.	PUNCT
fuelectenerg-3144	534	1	equipped	equip	VERB
fuelectenerg-3144	534	2	with	with	ADP
fuelectenerg-3144	534	3	an	an	DET
fuelectenerg-3144	534	4	understanding	understanding	NOUN
fuelectenerg-3144	534	5	of	of	ADP
fuelectenerg-3144	534	6	grover	grover	NOUN
fuelectenerg-3144	534	7	’s	’s	PART
fuelectenerg-3144	534	8	original	original	ADJ
fuelectenerg-3144	534	9	algorithm	algorithm	NOUN
fuelectenerg-3144	534	10	,	,	PUNCT
fuelectenerg-3144	534	11	which	which	PRON
fuelectenerg-3144	534	12	assumes	assume	VERB
fuelectenerg-3144	534	13	that	that	SCONJ
fuelectenerg-3144	534	14	exactly	exactly	ADV
fuelectenerg-3144	534	15	one	one	NUM
fuelectenerg-3144	534	16	solution	solution	NOUN
fuelectenerg-3144	534	17	exists	exist	VERB
fuelectenerg-3144	534	18	,	,	PUNCT
fuelectenerg-3144	534	19	we	we	PRON
fuelectenerg-3144	534	20	now	now	ADV
fuelectenerg-3144	534	21	consider	consider	VERB
fuelectenerg-3144	534	22	how	how	SCONJ
fuelectenerg-3144	534	23	the	the	DET
fuelectenerg-3144	534	24	algorithm	algorithm	NOUN
fuelectenerg-3144	534	25	can	can	AUX
fuelectenerg-3144	534	26	be	be	AUX
fuelectenerg-3144	534	27	modified	modify	VERB
fuelectenerg-3144	534	28	if	if	SCONJ
fuelectenerg-3144	534	29	more	more	ADJ
fuelectenerg-3144	534	30	than	than	ADP
fuelectenerg-3144	534	31	one	one	NUM
fuelectenerg-3144	534	32	solution	solution	NOUN
fuelectenerg-3144	534	33	exists	exist	VERB
fuelectenerg-3144	534	34	,	,	PUNCT
fuelectenerg-3144	534	35	or	or	CCONJ
fuelectenerg-3144	534	36	if	if	SCONJ
fuelectenerg-3144	534	37	there	there	PRON
fuelectenerg-3144	534	38	are	be	VERB
fuelectenerg-3144	534	39	no	no	DET
fuelectenerg-3144	534	40	solutions	solution	NOUN
fuelectenerg-3144	534	41	at	at	ADV
fuelectenerg-3144	534	42	all	all	ADV
fuelectenerg-3144	534	43	.	.	PUNCT
fuelectenerg-3144	535	1	there	there	PRON
fuelectenerg-3144	535	2	are	be	VERB
fuelectenerg-3144	535	3	several	several	ADJ
fuelectenerg-3144	535	4	possible	possible	ADJ
fuelectenerg-3144	535	5	variations	variation	NOUN
fuelectenerg-3144	535	6	of	of	ADP
fuelectenerg-3144	535	7	this	this	DET
fuelectenerg-3144	535	8	scenario	scenario	NOUN
fuelectenerg-3144	535	9	,	,	PUNCT
fuelectenerg-3144	535	10	depending	depend	VERB
fuelectenerg-3144	535	11	on	on	ADP
fuelectenerg-3144	535	12	one	one	NUM
fuelectenerg-3144	535	13	’s	’s	PART
fuelectenerg-3144	535	14	assumptions	assumption	NOUN
fuelectenerg-3144	535	15	and	and	CCONJ
fuelectenerg-3144	535	16	objectives	objective	NOUN
fuelectenerg-3144	535	17	:	:	PUNCT
fuelectenerg-3144	535	18	•	•	NUM
fuelectenerg-3144	535	19	one	one	NUM
fuelectenerg-3144	535	20	may	may	AUX
fuelectenerg-3144	535	21	or	or	CCONJ
fuelectenerg-3144	535	22	may	may	AUX
fuelectenerg-3144	535	23	not	not	PART
fuelectenerg-3144	535	24	know	know	VERB
fuelectenerg-3144	535	25	the	the	DET
fuelectenerg-3144	535	26	number	number	NOUN
fuelectenerg-3144	535	27	of	of	ADP
fuelectenerg-3144	535	28	solutions	solution	NOUN
fuelectenerg-3144	535	29	beforehand	beforehand	ADV
fuelectenerg-3144	535	30	.	.	PUNCT
fuelectenerg-3144	536	1	•	•	INTJ
fuelectenerg-3144	536	2	if	if	SCONJ
fuelectenerg-3144	536	3	at	at	ADV
fuelectenerg-3144	536	4	least	least	ADV
fuelectenerg-3144	536	5	one	one	NUM
fuelectenerg-3144	536	6	solution	solution	NOUN
fuelectenerg-3144	536	7	exists	exist	VERB
fuelectenerg-3144	536	8	,	,	PUNCT
fuelectenerg-3144	536	9	one	one	PRON
fuelectenerg-3144	536	10	may	may	AUX
fuelectenerg-3144	536	11	wish	wish	VERB
fuelectenerg-3144	536	12	to	to	PART
fuelectenerg-3144	536	13	find	find	VERB
fuelectenerg-3144	536	14	just	just	ADV
fuelectenerg-3144	536	15	a	a	DET
fuelectenerg-3144	536	16	single	single	ADJ
fuelectenerg-3144	536	17	solution	solution	NOUN
fuelectenerg-3144	536	18	,	,	PUNCT
fuelectenerg-3144	536	19	or	or	CCONJ
fuelectenerg-3144	536	20	all	all	DET
fuelectenerg-3144	536	21	possible	possible	ADJ
fuelectenerg-3144	536	22	solutions	solution	NOUN
fuelectenerg-3144	536	23	.	.	PUNCT
fuelectenerg-3144	537	1	•	•	NOUN
fuelectenerg-3144	537	2	one	one	NUM
fuelectenerg-3144	537	3	may	may	AUX
fuelectenerg-3144	537	4	or	or	CCONJ
fuelectenerg-3144	537	5	may	may	AUX
fuelectenerg-3144	537	6	not	not	PART
fuelectenerg-3144	537	7	know	know	VERB
fuelectenerg-3144	537	8	beforehand	beforehand	ADV
fuelectenerg-3144	537	9	whether	whether	SCONJ
fuelectenerg-3144	537	10	at	at	ADV
fuelectenerg-3144	537	11	least	least	ADV
fuelectenerg-3144	537	12	one	one	NUM
fuelectenerg-3144	537	13	solution	solution	NOUN
fuelectenerg-3144	537	14	exists	exist	VERB
fuelectenerg-3144	537	15	.	.	PUNCT
fuelectenerg-3144	538	1	•	•	INTJ
fuelectenerg-3144	538	2	if	if	SCONJ
fuelectenerg-3144	538	3	the	the	DET
fuelectenerg-3144	538	4	existence	existence	NOUN
fuelectenerg-3144	538	5	of	of	ADP
fuelectenerg-3144	538	6	at	at	ADV
fuelectenerg-3144	538	7	least	least	ADV
fuelectenerg-3144	538	8	one	one	NUM
fuelectenerg-3144	538	9	solution	solution	NOUN
fuelectenerg-3144	538	10	is	be	AUX
fuelectenerg-3144	538	11	not	not	PART
fuelectenerg-3144	538	12	guaranteed	guarantee	VERB
fuelectenerg-3144	538	13	,	,	PUNCT
fuelectenerg-3144	538	14	one	one	PRON
fuelectenerg-3144	538	15	may	may	AUX
fuelectenerg-3144	538	16	be	be	AUX
fuelectenerg-3144	538	17	interested	interested	ADJ
fuelectenerg-3144	538	18	only	only	ADV
fuelectenerg-3144	538	19	in	in	ADP
fuelectenerg-3144	538	20	determining	determine	VERB
fuelectenerg-3144	538	21	the	the	DET
fuelectenerg-3144	538	22	existence	existence	NOUN
fuelectenerg-3144	538	23	or	or	CCONJ
fuelectenerg-3144	538	24	non	non	ADJ
fuelectenerg-3144	538	25	-	-	NOUN
fuelectenerg-3144	538	26	existence	existence	NOUN
fuelectenerg-3144	538	27	of	of	ADP
fuelectenerg-3144	538	28	a	a	DET
fuelectenerg-3144	538	29	solution	solution	NOUN
fuelectenerg-3144	538	30	,	,	PUNCT
fuelectenerg-3144	538	31	and	and	CCONJ
fuelectenerg-3144	538	32	not	not	PART
fuelectenerg-3144	538	33	in	in	ADP
fuelectenerg-3144	538	34	actually	actually	ADV
fuelectenerg-3144	538	35	finding	find	VERB
fuelectenerg-3144	538	36	that	that	DET
fuelectenerg-3144	538	37	solution	solution	NOUN
fuelectenerg-3144	538	38	.	.	PUNCT
fuelectenerg-3144	539	1	for	for	ADP
fuelectenerg-3144	539	2	our	our	PRON
fuelectenerg-3144	539	3	purposes	purpose	NOUN
fuelectenerg-3144	539	4	,	,	PUNCT
fuelectenerg-3144	539	5	we	we	PRON
fuelectenerg-3144	539	6	will	will	AUX
fuelectenerg-3144	539	7	need	need	VERB
fuelectenerg-3144	539	8	to	to	PART
fuelectenerg-3144	539	9	assume	assume	VERB
fuelectenerg-3144	539	10	that	that	SCONJ
fuelectenerg-3144	539	11	we	we	PRON
fuelectenerg-3144	539	12	do	do	AUX
fuelectenerg-3144	539	13	not	not	PART
fuelectenerg-3144	539	14	have	have	VERB
fuelectenerg-3144	539	15	prior	prior	ADJ
fuelectenerg-3144	539	16	knowledge	knowledge	NOUN
fuelectenerg-3144	539	17	of	of	ADP
fuelectenerg-3144	539	18	the	the	DET
fuelectenerg-3144	539	19	existence	existence	NOUN
fuelectenerg-3144	539	20	and	and	CCONJ
fuelectenerg-3144	539	21	number	number	NOUN
fuelectenerg-3144	539	22	of	of	ADP
fuelectenerg-3144	539	23	solutions	solution	NOUN
fuelectenerg-3144	539	24	.	.	PUNCT
fuelectenerg-3144	540	1	we	we	PRON
fuelectenerg-3144	540	2	will	will	AUX
fuelectenerg-3144	540	3	be	be	AUX
fuelectenerg-3144	540	4	interested	interested	ADJ
fuelectenerg-3144	540	5	in	in	ADP
fuelectenerg-3144	540	6	first	first	ADV
fuelectenerg-3144	540	7	determining	determine	VERB
fuelectenerg-3144	540	8	whether	whether	SCONJ
fuelectenerg-3144	540	9	any	any	DET
fuelectenerg-3144	540	10	solutions	solution	NOUN
fuelectenerg-3144	540	11	exist	exist	VERB
fuelectenerg-3144	540	12	,	,	PUNCT
fuelectenerg-3144	540	13	and	and	CCONJ
fuelectenerg-3144	540	14	then	then	ADV
fuelectenerg-3144	540	15	finding	find	VERB
fuelectenerg-3144	540	16	just	just	ADV
fuelectenerg-3144	540	17	a	a	DET
fuelectenerg-3144	540	18	single	single	ADJ
fuelectenerg-3144	540	19	solution	solution	NOUN
fuelectenerg-3144	540	20	if	if	SCONJ
fuelectenerg-3144	540	21	at	at	ADV
fuelectenerg-3144	540	22	least	least	ADV
fuelectenerg-3144	540	23	one	one	NUM
fuelectenerg-3144	540	24	exists	exist	VERB
fuelectenerg-3144	540	25	.	.	PUNCT
fuelectenerg-3144	541	1	in	in	ADP
fuelectenerg-3144	541	2	section	section	NOUN
fuelectenerg-3144	541	3	3.2	3.2	NUM
fuelectenerg-3144	541	4	,	,	PUNCT
fuelectenerg-3144	541	5	we	we	PRON
fuelectenerg-3144	541	6	will	will	AUX
fuelectenerg-3144	541	7	demonstrate	demonstrate	VERB
fuelectenerg-3144	541	8	that	that	SCONJ
fuelectenerg-3144	541	9	satisfying	satisfy	VERB
fuelectenerg-3144	541	10	this	this	DET
fuelectenerg-3144	541	11	requirement	requirement	NOUN
fuelectenerg-3144	541	12	suffices	suffice	VERB
fuelectenerg-3144	541	13	to	to	PART
fuelectenerg-3144	541	14	solve	solve	VERB
fuelectenerg-3144	541	15	the	the	DET
fuelectenerg-3144	541	16	state	state	NOUN
fuelectenerg-3144	541	17	encoding	encoding	NOUN
fuelectenerg-3144	541	18	problem	problem	NOUN
fuelectenerg-3144	541	19	using	use	VERB
fuelectenerg-3144	541	20	a	a	DET
fuelectenerg-3144	541	21	quantum	quantum	ADJ
fuelectenerg-3144	541	22	computer	computer	NOUN
fuelectenerg-3144	541	23	.	.	PUNCT
fuelectenerg-3144	542	1	fortunately	fortunately	ADV
fuelectenerg-3144	542	2	,	,	PUNCT
fuelectenerg-3144	542	3	for	for	ADP
fuelectenerg-3144	542	4	the	the	DET
fuelectenerg-3144	542	5	assumptions	assumption	NOUN
fuelectenerg-3144	542	6	stated	state	VERB
fuelectenerg-3144	542	7	above	above	ADV
fuelectenerg-3144	542	8	,	,	PUNCT
fuelectenerg-3144	542	9	one	one	PRON
fuelectenerg-3144	542	10	can	can	AUX
fuelectenerg-3144	542	11	extend	extend	VERB
fuelectenerg-3144	542	12	grover	grover	PROPN
fuelectenerg-3144	542	13	’s	’s	PART
fuelectenerg-3144	542	14	algorithm	algorithm	NOUN
fuelectenerg-3144	542	15	to	to	ADP
fuelectenerg-3144	542	16	the	the	DET
fuelectenerg-3144	542	17	case	case	NOUN
fuelectenerg-3144	542	18	of	of	ADP
fuelectenerg-3144	542	19	an	an	DET
fuelectenerg-3144	542	20	unknown	unknown	ADJ
fuelectenerg-3144	542	21	number	number	NOUN
fuelectenerg-3144	542	22	of	of	ADP
fuelectenerg-3144	542	23	solutions	solution	NOUN
fuelectenerg-3144	542	24	while	while	SCONJ
fuelectenerg-3144	542	25	maintaining	maintain	VERB
fuelectenerg-3144	542	26	an	an	DET
fuelectenerg-3144	542	27	o	o	NOUN
fuelectenerg-3144	542	28	(	(	PUNCT
fuelectenerg-3144	542	29	√	√	NUM
fuelectenerg-3144	542	30	n	n	CCONJ
fuelectenerg-3144	542	31	)	)	PUNCT
fuelectenerg-3144	542	32	run	run	VERB
fuelectenerg-3144	542	33	time	time	NOUN
fuelectenerg-3144	542	34	complexity	complexity	NOUN
fuelectenerg-3144	542	35	.	.	PUNCT
fuelectenerg-3144	543	1	in	in	ADP
fuelectenerg-3144	543	2	[	[	X
fuelectenerg-3144	543	3	17	17	NUM
fuelectenerg-3144	543	4	]	]	PUNCT
fuelectenerg-3144	543	5	,	,	PUNCT
fuelectenerg-3144	543	6	the	the	DET
fuelectenerg-3144	543	7	authors	author	NOUN
fuelectenerg-3144	543	8	show	show	VERB
fuelectenerg-3144	543	9	that	that	SCONJ
fuelectenerg-3144	543	10	if	if	SCONJ
fuelectenerg-3144	543	11	14	14	NUM
fuelectenerg-3144	543	12	one	one	NOUN
fuelectenerg-3144	543	13	has	have	AUX
fuelectenerg-3144	543	14	foreknowledge	foreknowledge	VERB
fuelectenerg-3144	543	15	of	of	ADP
fuelectenerg-3144	543	16	the	the	DET
fuelectenerg-3144	543	17	exact	exact	ADJ
fuelectenerg-3144	543	18	number	number	NOUN
fuelectenerg-3144	543	19	of	of	ADP
fuelectenerg-3144	543	20	solutions	solution	NOUN
fuelectenerg-3144	543	21	,	,	PUNCT
fuelectenerg-3144	543	22	grover	grover	NOUN
fuelectenerg-3144	543	23	’s	’s	PART
fuelectenerg-3144	543	24	original	original	ADJ
fuelectenerg-3144	543	25	algorithm	algorithm	NOUN
fuelectenerg-3144	543	26	as	as	SCONJ
fuelectenerg-3144	543	27	previously	previously	ADV
fuelectenerg-3144	543	28	described	describe	VERB
fuelectenerg-3144	543	29	(	(	PUNCT
fuelectenerg-3144	543	30	which	which	PRON
fuelectenerg-3144	543	31	assumes	assume	VERB
fuelectenerg-3144	543	32	the	the	DET
fuelectenerg-3144	543	33	existence	existence	NOUN
fuelectenerg-3144	543	34	of	of	ADP
fuelectenerg-3144	543	35	exactly	exactly	ADV
fuelectenerg-3144	543	36	one	one	NUM
fuelectenerg-3144	543	37	solution	solution	NOUN
fuelectenerg-3144	543	38	)	)	PUNCT
fuelectenerg-3144	543	39	can	can	AUX
fuelectenerg-3144	543	40	still	still	ADV
fuelectenerg-3144	543	41	be	be	AUX
fuelectenerg-3144	543	42	used	use	VERB
fuelectenerg-3144	543	43	with	with	ADP
fuelectenerg-3144	543	44	one	one	NUM
fuelectenerg-3144	543	45	modification	modification	NOUN
fuelectenerg-3144	543	46	:	:	PUNCT
fuelectenerg-3144	543	47	instead	instead	ADV
fuelectenerg-3144	543	48	of	of	ADP
fuelectenerg-3144	543	49	o	o	PROPN
fuelectenerg-3144	543	50	(	(	PUNCT
fuelectenerg-3144	543	51	√	√	NUM
fuelectenerg-3144	543	52	n	n	CCONJ
fuelectenerg-3144	543	53	)	)	PUNCT
fuelectenerg-3144	543	54	iterations	iteration	NOUN
fuelectenerg-3144	543	55	,	,	PUNCT
fuelectenerg-3144	543	56	one	one	PRON
fuelectenerg-3144	543	57	now	now	ADV
fuelectenerg-3144	543	58	requires	require	VERB
fuelectenerg-3144	543	59	o	o	NOUN
fuelectenerg-3144	543	60	(	(	PUNCT
fuelectenerg-3144	543	61	√	√	NUM
fuelectenerg-3144	543	62	n	n	CCONJ
fuelectenerg-3144	543	63	/	/	SYM
fuelectenerg-3144	543	64	k	k	NOUN
fuelectenerg-3144	543	65	)	)	PUNCT
fuelectenerg-3144	543	66	iterations	iteration	NOUN
fuelectenerg-3144	543	67	,	,	PUNCT
fuelectenerg-3144	543	68	where	where	SCONJ
fuelectenerg-3144	543	69	k	k	PROPN
fuelectenerg-3144	543	70	is	be	AUX
fuelectenerg-3144	543	71	the	the	DET
fuelectenerg-3144	543	72	number	number	NOUN
fuelectenerg-3144	543	73	of	of	ADP
fuelectenerg-3144	543	74	solutions	solution	NOUN
fuelectenerg-3144	543	75	.	.	PUNCT
fuelectenerg-3144	544	1	furthermore	furthermore	ADV
fuelectenerg-3144	544	2	,	,	PUNCT
fuelectenerg-3144	544	3	the	the	DET
fuelectenerg-3144	544	4	authors	author	NOUN
fuelectenerg-3144	544	5	in	in	ADP
fuelectenerg-3144	544	6	[	[	X
fuelectenerg-3144	544	7	17	17	NUM
fuelectenerg-3144	544	8	]	]	PUNCT
fuelectenerg-3144	544	9	also	also	ADV
fuelectenerg-3144	544	10	demonstrate	demonstrate	VERB
fuelectenerg-3144	544	11	a	a	DET
fuelectenerg-3144	544	12	method	method	NOUN
fuelectenerg-3144	544	13	by	by	ADP
fuelectenerg-3144	544	14	which	which	PRON
fuelectenerg-3144	544	15	one	one	PRON
fuelectenerg-3144	544	16	can	can	AUX
fuelectenerg-3144	544	17	find	find	VERB
fuelectenerg-3144	544	18	a	a	DET
fuelectenerg-3144	544	19	solution	solution	NOUN
fuelectenerg-3144	544	20	in	in	ADP
fuelectenerg-3144	544	21	o	o	PROPN
fuelectenerg-3144	544	22	(	(	PUNCT
fuelectenerg-3144	544	23	√	√	NUM
fuelectenerg-3144	544	24	n	n	CCONJ
fuelectenerg-3144	544	25	/	/	SYM
fuelectenerg-3144	544	26	k	k	NOUN
fuelectenerg-3144	544	27	)	)	PUNCT
fuelectenerg-3144	544	28	expected	expect	VERB
fuelectenerg-3144	544	29	time	time	NOUN
fuelectenerg-3144	544	30	even	even	ADV
fuelectenerg-3144	544	31	if	if	SCONJ
fuelectenerg-3144	544	32	the	the	DET
fuelectenerg-3144	544	33	number	number	NOUN
fuelectenerg-3144	544	34	of	of	ADP
fuelectenerg-3144	544	35	solutions	solution	NOUN
fuelectenerg-3144	544	36	is	be	AUX
fuelectenerg-3144	544	37	unknown	unknown	ADJ
fuelectenerg-3144	544	38	.	.	PUNCT
fuelectenerg-3144	545	1	this	this	DET
fuelectenerg-3144	545	2	same	same	ADJ
fuelectenerg-3144	545	3	method	method	NOUN
fuelectenerg-3144	545	4	is	be	AUX
fuelectenerg-3144	545	5	additionally	additionally	ADV
fuelectenerg-3144	545	6	capable	capable	ADJ
fuelectenerg-3144	545	7	of	of	ADP
fuelectenerg-3144	545	8	detecting	detect	VERB
fuelectenerg-3144	545	9	the	the	DET
fuelectenerg-3144	545	10	non	non	NOUN
fuelectenerg-3144	545	11	-	-	NOUN
fuelectenerg-3144	545	12	existence	existence	NOUN
fuelectenerg-3144	545	13	of	of	ADP
fuelectenerg-3144	545	14	a	a	DET
fuelectenerg-3144	545	15	solution	solution	NOUN
fuelectenerg-3144	545	16	in	in	ADP
fuelectenerg-3144	545	17	o	o	PROPN
fuelectenerg-3144	545	18	(	(	PUNCT
fuelectenerg-3144	545	19	√	√	NUM
fuelectenerg-3144	545	20	n	n	CCONJ
fuelectenerg-3144	545	21	)	)	PUNCT
fuelectenerg-3144	545	22	time	time	NOUN
fuelectenerg-3144	545	23	with	with	ADP
fuelectenerg-3144	545	24	an	an	DET
fuelectenerg-3144	545	25	arbitrarily	arbitrarily	ADV
fuelectenerg-3144	545	26	high	high	ADJ
fuelectenerg-3144	545	27	level	level	NOUN
fuelectenerg-3144	545	28	of	of	ADP
fuelectenerg-3144	545	29	certainty	certainty	NOUN
fuelectenerg-3144	545	30	.	.	PUNCT
fuelectenerg-3144	546	1	alternatively	alternatively	ADV
fuelectenerg-3144	546	2	,	,	PUNCT
fuelectenerg-3144	546	3	brassard	brassard	PROPN
fuelectenerg-3144	546	4	et	et	PROPN
fuelectenerg-3144	546	5	al	al	PROPN
fuelectenerg-3144	546	6	.	.	PUNCT
fuelectenerg-3144	547	1	[	[	X
fuelectenerg-3144	547	2	18	18	NUM
fuelectenerg-3144	547	3	]	]	PUNCT
fuelectenerg-3144	547	4	have	have	AUX
fuelectenerg-3144	547	5	described	describe	VERB
fuelectenerg-3144	547	6	a	a	DET
fuelectenerg-3144	547	7	quantum	quantum	ADJ
fuelectenerg-3144	547	8	counting	counting	NOUN
fuelectenerg-3144	547	9	algorithm	algorithm	NOUN
fuelectenerg-3144	547	10	,	,	PUNCT
fuelectenerg-3144	547	11	with	with	ADP
fuelectenerg-3144	547	12	which	which	PRON
fuelectenerg-3144	547	13	one	one	PRON
fuelectenerg-3144	547	14	may	may	AUX
fuelectenerg-3144	547	15	obtain	obtain	VERB
fuelectenerg-3144	547	16	an	an	DET
fuelectenerg-3144	547	17	estimate	estimate	NOUN
fuelectenerg-3144	547	18	of	of	ADP
fuelectenerg-3144	547	19	the	the	DET
fuelectenerg-3144	547	20	number	number	NOUN
fuelectenerg-3144	547	21	of	of	ADP
fuelectenerg-3144	547	22	solutions	solution	NOUN
fuelectenerg-3144	547	23	.	.	PUNCT
fuelectenerg-3144	548	1	one	one	PRON
fuelectenerg-3144	548	2	could	could	AUX
fuelectenerg-3144	548	3	use	use	VERB
fuelectenerg-3144	548	4	this	this	DET
fuelectenerg-3144	548	5	quantum	quantum	NOUN
fuelectenerg-3144	548	6	counting	counting	NOUN
fuelectenerg-3144	548	7	algorithm	algorithm	NOUN
fuelectenerg-3144	548	8	together	together	ADV
fuelectenerg-3144	548	9	with	with	ADP
fuelectenerg-3144	548	10	the	the	DET
fuelectenerg-3144	548	11	previously	previously	ADV
fuelectenerg-3144	548	12	-	-	PUNCT
fuelectenerg-3144	548	13	mentioned	mention	VERB
fuelectenerg-3144	548	14	extended	extended	ADJ
fuelectenerg-3144	548	15	grover	grover	NOUN
fuelectenerg-3144	548	16	’s	’s	PART
fuelectenerg-3144	548	17	algorithm	algorithm	NOUN
fuelectenerg-3144	548	18	for	for	ADP
fuelectenerg-3144	548	19	a	a	DET
fuelectenerg-3144	548	20	known	know	VERB
fuelectenerg-3144	548	21	number	number	NOUN
fuelectenerg-3144	548	22	of	of	ADP
fuelectenerg-3144	548	23	solutions	solution	NOUN
fuelectenerg-3144	548	24	(	(	PUNCT
fuelectenerg-3144	548	25	in	in	ADP
fuelectenerg-3144	548	26	[	[	X
fuelectenerg-3144	548	27	17	17	NUM
fuelectenerg-3144	548	28	]	]	PUNCT
fuelectenerg-3144	548	29	)	)	PUNCT
fuelectenerg-3144	548	30	to	to	PART
fuelectenerg-3144	548	31	find	find	VERB
fuelectenerg-3144	548	32	a	a	DET
fuelectenerg-3144	548	33	single	single	ADJ
fuelectenerg-3144	548	34	solution	solution	NOUN
fuelectenerg-3144	548	35	,	,	PUNCT
fuelectenerg-3144	548	36	if	if	SCONJ
fuelectenerg-3144	548	37	it	it	PRON
fuelectenerg-3144	548	38	exists.4	exists.4	VERB
fuelectenerg-3144	548	39	using	use	VERB
fuelectenerg-3144	548	40	the	the	DET
fuelectenerg-3144	548	41	above	above	ADJ
fuelectenerg-3144	548	42	approaches	approach	NOUN
fuelectenerg-3144	548	43	,	,	PUNCT
fuelectenerg-3144	548	44	one	one	PRON
fuelectenerg-3144	548	45	can	can	AUX
fuelectenerg-3144	548	46	satisfy	satisfy	VERB
fuelectenerg-3144	548	47	the	the	DET
fuelectenerg-3144	548	48	previously	previously	ADV
fuelectenerg-3144	548	49	stated	state	VERB
fuelectenerg-3144	548	50	requirement	requirement	NOUN
fuelectenerg-3144	548	51	—	—	PUNCT
fuelectenerg-3144	548	52	determine	determine	VERB
fuelectenerg-3144	548	53	whether	whether	SCONJ
fuelectenerg-3144	548	54	any	any	DET
fuelectenerg-3144	548	55	solutions	solution	NOUN
fuelectenerg-3144	548	56	exist	exist	VERB
fuelectenerg-3144	548	57	,	,	PUNCT
fuelectenerg-3144	548	58	and	and	CCONJ
fuelectenerg-3144	548	59	find	find	VERB
fuelectenerg-3144	548	60	one	one	NUM
fuelectenerg-3144	548	61	if	if	SCONJ
fuelectenerg-3144	548	62	it	it	PRON
fuelectenerg-3144	548	63	does	do	VERB
fuelectenerg-3144	548	64	—	—	PUNCT
fuelectenerg-3144	548	65	with	with	ADP
fuelectenerg-3144	548	66	the	the	DET
fuelectenerg-3144	548	67	same	same	ADJ
fuelectenerg-3144	548	68	o	o	NOUN
fuelectenerg-3144	548	69	(	(	PUNCT
fuelectenerg-3144	548	70	√	√	NUM
fuelectenerg-3144	548	71	n	n	CCONJ
fuelectenerg-3144	548	72	)	)	PUNCT
fuelectenerg-3144	548	73	time	time	NOUN
fuelectenerg-3144	548	74	complexity	complexity	NOUN
fuelectenerg-3144	548	75	as	as	ADP
fuelectenerg-3144	548	76	grover	grover	NOUN
fuelectenerg-3144	548	77	’s	’s	PART
fuelectenerg-3144	548	78	original	original	ADJ
fuelectenerg-3144	548	79	algorithm	algorithm	NOUN
fuelectenerg-3144	548	80	.	.	PUNCT
fuelectenerg-3144	549	1	for	for	ADP
fuelectenerg-3144	549	2	the	the	DET
fuelectenerg-3144	549	3	sake	sake	NOUN
fuelectenerg-3144	549	4	of	of	ADP
fuelectenerg-3144	549	5	brevity	brevity	NOUN
fuelectenerg-3144	549	6	,	,	PUNCT
fuelectenerg-3144	549	7	we	we	PRON
fuelectenerg-3144	549	8	will	will	AUX
fuelectenerg-3144	549	9	from	from	ADP
fuelectenerg-3144	549	10	now	now	ADV
fuelectenerg-3144	549	11	on	on	ADP
fuelectenerg-3144	549	12	use	use	NOUN
fuelectenerg-3144	549	13	“	"	PUNCT
fuelectenerg-3144	549	14	grover	grover	PROPN
fuelectenerg-3144	549	15	’s	’s	PART
fuelectenerg-3144	549	16	algorithm	algorithm	NOUN
fuelectenerg-3144	549	17	”	"	PUNCT
fuelectenerg-3144	549	18	to	to	PART
fuelectenerg-3144	549	19	refer	refer	VERB
fuelectenerg-3144	549	20	to	to	ADP
fuelectenerg-3144	549	21	all	all	PRON
fuelectenerg-3144	549	22	of	of	ADP
fuelectenerg-3144	549	23	these	these	DET
fuelectenerg-3144	549	24	approaches	approach	NOUN
fuelectenerg-3144	549	25	collectively	collectively	ADV
fuelectenerg-3144	549	26	.	.	PUNCT
fuelectenerg-3144	550	1	in	in	ADP
fuelectenerg-3144	550	2	other	other	ADJ
fuelectenerg-3144	550	3	words	word	NOUN
fuelectenerg-3144	550	4	,	,	PUNCT
fuelectenerg-3144	550	5	when	when	SCONJ
fuelectenerg-3144	550	6	we	we	PRON
fuelectenerg-3144	550	7	say	say	VERB
fuelectenerg-3144	550	8	we	we	PRON
fuelectenerg-3144	550	9	are	be	AUX
fuelectenerg-3144	550	10	“	"	PUNCT
fuelectenerg-3144	550	11	using	use	VERB
fuelectenerg-3144	550	12	grover	grover	NOUN
fuelectenerg-3144	550	13	’s	’s	PART
fuelectenerg-3144	550	14	algorithm	algorithm	NOUN
fuelectenerg-3144	550	15	”	"	PUNCT
fuelectenerg-3144	550	16	to	to	PART
fuelectenerg-3144	550	17	solve	solve	VERB
fuelectenerg-3144	550	18	a	a	DET
fuelectenerg-3144	550	19	satisfaction	satisfaction	NOUN
fuelectenerg-3144	550	20	problem	problem	NOUN
fuelectenerg-3144	550	21	,	,	PUNCT
fuelectenerg-3144	550	22	we	we	PRON
fuelectenerg-3144	550	23	mean	mean	VERB
fuelectenerg-3144	550	24	that	that	SCONJ
fuelectenerg-3144	550	25	we	we	PRON
fuelectenerg-3144	550	26	are	be	AUX
fuelectenerg-3144	550	27	using	use	VERB
fuelectenerg-3144	550	28	any	any	PRON
fuelectenerg-3144	550	29	of	of	ADP
fuelectenerg-3144	550	30	the	the	DET
fuelectenerg-3144	550	31	above	above	ADJ
fuelectenerg-3144	550	32	approaches	approach	NOUN
fuelectenerg-3144	550	33	to	to	PART
fuelectenerg-3144	550	34	determine	determine	VERB
fuelectenerg-3144	550	35	if	if	SCONJ
fuelectenerg-3144	550	36	a	a	DET
fuelectenerg-3144	550	37	solution	solution	NOUN
fuelectenerg-3144	550	38	to	to	ADP
fuelectenerg-3144	550	39	the	the	DET
fuelectenerg-3144	550	40	problem	problem	NOUN
fuelectenerg-3144	550	41	exists	exist	VERB
fuelectenerg-3144	550	42	,	,	PUNCT
fuelectenerg-3144	550	43	and	and	CCONJ
fuelectenerg-3144	550	44	then	then	ADV
fuelectenerg-3144	550	45	find	find	VERB
fuelectenerg-3144	550	46	one	one	NUM
fuelectenerg-3144	550	47	if	if	SCONJ
fuelectenerg-3144	550	48	it	it	PRON
fuelectenerg-3144	550	49	does	do	VERB
fuelectenerg-3144	550	50	.	.	PUNCT
fuelectenerg-3144	551	1	there	there	PRON
fuelectenerg-3144	551	2	is	be	VERB
fuelectenerg-3144	551	3	one	one	NUM
fuelectenerg-3144	551	4	more	more	ADJ
fuelectenerg-3144	551	5	aspect	aspect	NOUN
fuelectenerg-3144	551	6	of	of	ADP
fuelectenerg-3144	551	7	grover	grover	PROPN
fuelectenerg-3144	551	8	’s	’s	PART
fuelectenerg-3144	551	9	algorithm	algorithm	NOUN
fuelectenerg-3144	551	10	that	that	PRON
fuelectenerg-3144	551	11	we	we	PRON
fuelectenerg-3144	551	12	have	have	AUX
fuelectenerg-3144	551	13	not	not	PART
fuelectenerg-3144	551	14	yet	yet	ADV
fuelectenerg-3144	551	15	mentioned	mention	VERB
fuelectenerg-3144	551	16	—	—	PUNCT
fuelectenerg-3144	551	17	the	the	DET
fuelectenerg-3144	551	18	use	use	NOUN
fuelectenerg-3144	551	19	of	of	ADP
fuelectenerg-3144	551	20	ancillary	ancillary	NOUN
fuelectenerg-3144	551	21	(	(	PUNCT
fuelectenerg-3144	551	22	“	"	PUNCT
fuelectenerg-3144	551	23	ancilla	ancilla	PROPN
fuelectenerg-3144	551	24	”	"	PUNCT
fuelectenerg-3144	551	25	)	)	PUNCT
fuelectenerg-3144	551	26	qubits	qubit	NOUN
fuelectenerg-3144	551	27	in	in	ADP
fuelectenerg-3144	551	28	the	the	DET
fuelectenerg-3144	551	29	quantum	quantum	ADJ
fuelectenerg-3144	551	30	oracle	oracle	NOUN
fuelectenerg-3144	551	31	.	.	PUNCT
fuelectenerg-3144	552	1	strictly	strictly	ADV
fuelectenerg-3144	552	2	speaking	speak	VERB
fuelectenerg-3144	552	3	,	,	PUNCT
fuelectenerg-3144	552	4	ancilla	ancilla	PROPN
fuelectenerg-3144	552	5	qubits	qubit	NOUN
fuelectenerg-3144	552	6	are	be	AUX
fuelectenerg-3144	552	7	an	an	DET
fuelectenerg-3144	552	8	aspect	aspect	NOUN
fuelectenerg-3144	552	9	of	of	ADP
fuelectenerg-3144	552	10	quantum	quantum	NOUN
fuelectenerg-3144	552	11	oracle	oracle	NOUN
fuelectenerg-3144	552	12	design	design	NOUN
fuelectenerg-3144	552	13	and	and	CCONJ
fuelectenerg-3144	552	14	not	not	PART
fuelectenerg-3144	552	15	of	of	ADP
fuelectenerg-3144	552	16	grover	grover	NOUN
fuelectenerg-3144	552	17	’s	’s	PART
fuelectenerg-3144	552	18	algorithm	algorithm	NOUN
fuelectenerg-3144	552	19	itself	itself	PRON
fuelectenerg-3144	552	20	.	.	PUNCT
fuelectenerg-3144	553	1	we	we	PRON
fuelectenerg-3144	553	2	discuss	discuss	VERB
fuelectenerg-3144	553	3	them	they	PRON
fuelectenerg-3144	553	4	here	here	ADV
fuelectenerg-3144	553	5	nevertheless	nevertheless	ADV
fuelectenerg-3144	553	6	,	,	PUNCT
fuelectenerg-3144	553	7	since	since	SCONJ
fuelectenerg-3144	553	8	we	we	PRON
fuelectenerg-3144	553	9	will	will	AUX
fuelectenerg-3144	553	10	concentrate	concentrate	VERB
fuelectenerg-3144	553	11	on	on	ADP
fuelectenerg-3144	553	12	designing	design	VERB
fuelectenerg-3144	553	13	a	a	DET
fuelectenerg-3144	553	14	quantum	quantum	ADJ
fuelectenerg-3144	553	15	oracle	oracle	NOUN
fuelectenerg-3144	553	16	to	to	PART
fuelectenerg-3144	553	17	solve	solve	VERB
fuelectenerg-3144	553	18	the	the	DET
fuelectenerg-3144	553	19	fsm	fsm	PROPN
fuelectenerg-3144	553	20	state	state	PROPN
fuelectenerg-3144	553	21	encoding	encoding	NOUN
fuelectenerg-3144	553	22	problem	problem	NOUN
fuelectenerg-3144	553	23	in	in	ADP
fuelectenerg-3144	553	24	the	the	DET
fuelectenerg-3144	553	25	remainder	remainder	NOUN
fuelectenerg-3144	553	26	of	of	ADP
fuelectenerg-3144	553	27	this	this	DET
fuelectenerg-3144	553	28	paper	paper	NOUN
fuelectenerg-3144	553	29	.	.	PUNCT
fuelectenerg-3144	554	1	ancilla	ancilla	PROPN
fuelectenerg-3144	554	2	qubits	qubit	NOUN
fuelectenerg-3144	554	3	are	be	AUX
fuelectenerg-3144	554	4	extra	extra	ADJ
fuelectenerg-3144	554	5	qubits	qubit	NOUN
fuelectenerg-3144	554	6	that	that	PRON
fuelectenerg-3144	554	7	are	be	AUX
fuelectenerg-3144	554	8	used	use	VERB
fuelectenerg-3144	554	9	by	by	ADP
fuelectenerg-3144	554	10	a	a	DET
fuelectenerg-3144	554	11	quantum	quantum	ADJ
fuelectenerg-3144	554	12	oracle	oracle	NOUN
fuelectenerg-3144	554	13	to	to	PART
fuelectenerg-3144	554	14	store	store	VERB
fuelectenerg-3144	554	15	intermediate	intermediate	ADJ
fuelectenerg-3144	554	16	results	result	NOUN
fuelectenerg-3144	554	17	while	while	SCONJ
fuelectenerg-3144	554	18	it	it	PRON
fuelectenerg-3144	554	19	is	be	AUX
fuelectenerg-3144	554	20	performing	perform	VERB
fuelectenerg-3144	554	21	its	its	PRON
fuelectenerg-3144	554	22	computations	computation	NOUN
fuelectenerg-3144	554	23	.	.	PUNCT
fuelectenerg-3144	555	1	they	they	PRON
fuelectenerg-3144	555	2	are	be	AUX
fuelectenerg-3144	555	3	initialized	initialize	VERB
fuelectenerg-3144	555	4	to	to	ADP
fuelectenerg-3144	555	5	a	a	DET
fuelectenerg-3144	555	6	value	value	NOUN
fuelectenerg-3144	555	7	of	of	ADP
fuelectenerg-3144	555	8	the	the	DET
fuelectenerg-3144	555	9	quantum	quantum	ADJ
fuelectenerg-3144	555	10	circuit	circuit	NOUN
fuelectenerg-3144	555	11	designer	designer	NOUN
fuelectenerg-3144	555	12	’s	’s	PART
fuelectenerg-3144	555	13	choice	choice	NOUN
fuelectenerg-3144	555	14	.	.	PUNCT
fuelectenerg-3144	556	1	a	a	DET
fuelectenerg-3144	556	2	quantum	quantum	ADJ
fuelectenerg-3144	556	3	oracle	oracle	NOUN
fuelectenerg-3144	556	4	only	only	ADV
fuelectenerg-3144	556	5	uses	use	VERB
fuelectenerg-3144	556	6	ancilla	ancilla	PROPN
fuelectenerg-3144	556	7	qubits	qubit	NOUN
fuelectenerg-3144	556	8	internally	internally	ADV
fuelectenerg-3144	556	9	;	;	PUNCT
fuelectenerg-3144	556	10	externally	externally	ADV
fuelectenerg-3144	556	11	,	,	PUNCT
fuelectenerg-3144	556	12	it	it	PRON
fuelectenerg-3144	556	13	should	should	AUX
fuelectenerg-3144	556	14	appear	appear	VERB
fuelectenerg-3144	556	15	as	as	SCONJ
fuelectenerg-3144	556	16	if	if	SCONJ
fuelectenerg-3144	556	17	ancilla	ancilla	PROPN
fuelectenerg-3144	556	18	qubits	qubit	NOUN
fuelectenerg-3144	556	19	simply	simply	ADV
fuelectenerg-3144	556	20	“	"	PUNCT
fuelectenerg-3144	556	21	pass	pass	VERB
fuelectenerg-3144	556	22	through	through	ADP
fuelectenerg-3144	556	23	”	"	PUNCT
fuelectenerg-3144	556	24	the	the	DET
fuelectenerg-3144	556	25	oracle	oracle	NOUN
fuelectenerg-3144	556	26	with	with	ADP
fuelectenerg-3144	556	27	no	no	DET
fuelectenerg-3144	556	28	change	change	NOUN
fuelectenerg-3144	556	29	.	.	PUNCT
fuelectenerg-3144	557	1	in	in	ADP
fuelectenerg-3144	557	2	other	other	ADJ
fuelectenerg-3144	557	3	words	word	NOUN
fuelectenerg-3144	557	4	,	,	PUNCT
fuelectenerg-3144	557	5	ancilla	ancilla	PROPN
fuelectenerg-3144	557	6	qubits	qubit	NOUN
fuelectenerg-3144	557	7	do	do	AUX
fuelectenerg-3144	557	8	not	not	PART
fuelectenerg-3144	557	9	externally	externally	ADV
fuelectenerg-3144	557	10	appear	appear	VERB
fuelectenerg-3144	557	11	to	to	PART
fuelectenerg-3144	557	12	participate	participate	VERB
fuelectenerg-3144	557	13	in	in	ADP
fuelectenerg-3144	557	14	the	the	DET
fuelectenerg-3144	557	15	oracle	oracle	NOUN
fuelectenerg-3144	557	16	’s	’s	PART
fuelectenerg-3144	557	17	operation	operation	NOUN
fuelectenerg-3144	557	18	at	at	ADV
fuelectenerg-3144	557	19	all	all	ADV
fuelectenerg-3144	557	20	;	;	PUNCT
fuelectenerg-3144	557	21	they	they	PRON
fuelectenerg-3144	557	22	participate	participate	VERB
fuelectenerg-3144	557	23	internally	internally	ADV
fuelectenerg-3144	557	24	and	and	CCONJ
fuelectenerg-3144	557	25	only	only	ADV
fuelectenerg-3144	557	26	for	for	ADP
fuelectenerg-3144	557	27	the	the	DET
fuelectenerg-3144	557	28	purpose	purpose	NOUN
fuelectenerg-3144	557	29	of	of	ADP
fuelectenerg-3144	557	30	acting	act	VERB
fuelectenerg-3144	557	31	as	as	ADP
fuelectenerg-3144	557	32	temporary	temporary	ADJ
fuelectenerg-3144	557	33	storage	storage	NOUN
fuelectenerg-3144	557	34	.	.	PUNCT
fuelectenerg-3144	558	1	ancilla	ancilla	PROPN
fuelectenerg-3144	558	2	qubits	qubit	NOUN
fuelectenerg-3144	558	3	are	be	AUX
fuelectenerg-3144	558	4	usually	usually	ADV
fuelectenerg-3144	558	5	employed	employ	VERB
fuelectenerg-3144	558	6	to	to	PART
fuelectenerg-3144	558	7	reduce	reduce	VERB
fuelectenerg-3144	558	8	the	the	DET
fuelectenerg-3144	558	9	quantum	quantum	NOUN
fuelectenerg-3144	558	10	circuit	circuit	NOUN
fuelectenerg-3144	558	11	cost	cost	NOUN
fuelectenerg-3144	558	12	of	of	ADP
fuelectenerg-3144	558	13	a	a	DET
fuelectenerg-3144	558	14	quantum	quantum	ADJ
fuelectenerg-3144	558	15	oracle	oracle	NOUN
fuelectenerg-3144	558	16	.	.	PUNCT
fuelectenerg-3144	559	1	a	a	DET
fuelectenerg-3144	559	2	quantum	quantum	NOUN
fuelectenerg-3144	559	3	circuit	circuit	NOUN
fuelectenerg-3144	559	4	using	use	VERB
fuelectenerg-3144	559	5	ancilla	ancilla	PROPN
fuelectenerg-3144	559	6	qubits	qubit	NOUN
fuelectenerg-3144	559	7	often	often	ADV
fuelectenerg-3144	559	8	has	have	VERB
fuelectenerg-3144	559	9	lower	low	ADJ
fuelectenerg-3144	559	10	quantum	quantum	NOUN
fuelectenerg-3144	559	11	cost	cost	NOUN
fuelectenerg-3144	559	12	than	than	ADP
fuelectenerg-3144	559	13	an	an	DET
fuelectenerg-3144	559	14	equivalent	equivalent	ADJ
fuelectenerg-3144	559	15	circuit	circuit	NOUN
fuelectenerg-3144	559	16	without	without	ADP
fuelectenerg-3144	559	17	ancilla	ancilla	NOUN
fuelectenerg-3144	559	18	qubits	qubit	NOUN
fuelectenerg-3144	559	19	.	.	PUNCT
fuelectenerg-3144	560	1	for	for	ADP
fuelectenerg-3144	560	2	instance	instance	NOUN
fuelectenerg-3144	560	3	,	,	PUNCT
fuelectenerg-3144	560	4	figure	figure	VERB
fuelectenerg-3144	560	5	8	8	NUM
fuelectenerg-3144	560	6	shows	show	VERB
fuelectenerg-3144	560	7	a	a	DET
fuelectenerg-3144	560	8	quantum	quantum	ADJ
fuelectenerg-3144	560	9	oracle	oracle	NOUN
fuelectenerg-3144	560	10	for	for	ADP
fuelectenerg-3144	560	11	the	the	DET
fuelectenerg-3144	560	12	function	function	NOUN
fuelectenerg-3144	560	13	f	f	NOUN
fuelectenerg-3144	561	1	=	=	PUNCT
fuelectenerg-3144	562	1	(	(	PUNCT
fuelectenerg-3144	562	2	x1	x1	PROPN
fuelectenerg-3144	562	3	+	+	PROPN
fuelectenerg-3144	562	4	x2)(x3	x2)(x3	PROPN
fuelectenerg-3144	563	1	+	+	CCONJ
fuelectenerg-3144	563	2	x4	x4	PROPN
fuelectenerg-3144	563	3	)	)	PUNCT
fuelectenerg-3144	563	4	using	use	VERB
fuelectenerg-3144	563	5	two	two	NUM
fuelectenerg-3144	563	6	ancilla	ancilla	NOUN
fuelectenerg-3144	563	7	qubits	qubit	NOUN
fuelectenerg-3144	563	8	.	.	PUNCT
fuelectenerg-3144	564	1	it	it	PRON
fuelectenerg-3144	564	2	is	be	AUX
fuelectenerg-3144	564	3	possible	possible	ADJ
fuelectenerg-3144	564	4	to	to	PART
fuelectenerg-3144	564	5	design	design	VERB
fuelectenerg-3144	564	6	a	a	DET
fuelectenerg-3144	564	7	quantum	quantum	ADJ
fuelectenerg-3144	564	8	oracle	oracle	NOUN
fuelectenerg-3144	564	9	for	for	ADP
fuelectenerg-3144	564	10	this	this	DET
fuelectenerg-3144	564	11	function	function	NOUN
fuelectenerg-3144	564	12	without	without	ADP
fuelectenerg-3144	564	13	ancilla	ancilla	NOUN
fuelectenerg-3144	564	14	qubits	qubit	NOUN
fuelectenerg-3144	564	15	,	,	PUNCT
fuelectenerg-3144	564	16	but	but	CCONJ
fuelectenerg-3144	564	17	the	the	DET
fuelectenerg-3144	564	18	4strictly	4strictly	ADV
fuelectenerg-3144	564	19	speaking	speak	VERB
fuelectenerg-3144	564	20	,	,	PUNCT
fuelectenerg-3144	564	21	the	the	DET
fuelectenerg-3144	564	22	viability	viability	NOUN
fuelectenerg-3144	564	23	of	of	ADP
fuelectenerg-3144	564	24	this	this	DET
fuelectenerg-3144	564	25	second	second	ADJ
fuelectenerg-3144	564	26	method	method	NOUN
fuelectenerg-3144	564	27	is	be	AUX
fuelectenerg-3144	564	28	actually	actually	ADV
fuelectenerg-3144	564	29	not	not	PART
fuelectenerg-3144	564	30	absolutely	absolutely	ADV
fuelectenerg-3144	564	31	clear	clear	ADJ
fuelectenerg-3144	564	32	,	,	PUNCT
fuelectenerg-3144	564	33	although	although	SCONJ
fuelectenerg-3144	564	34	it	it	PRON
fuelectenerg-3144	564	35	should	should	AUX
fuelectenerg-3144	564	36	likely	likely	ADV
fuelectenerg-3144	564	37	work	work	VERB
fuelectenerg-3144	564	38	.	.	PUNCT
fuelectenerg-3144	565	1	the	the	DET
fuelectenerg-3144	565	2	difficulty	difficulty	NOUN
fuelectenerg-3144	565	3	is	be	AUX
fuelectenerg-3144	565	4	that	that	SCONJ
fuelectenerg-3144	565	5	the	the	DET
fuelectenerg-3144	565	6	quantum	quantum	NOUN
fuelectenerg-3144	565	7	counting	counting	NOUN
fuelectenerg-3144	565	8	algorithm	algorithm	NOUN
fuelectenerg-3144	565	9	in	in	ADP
fuelectenerg-3144	565	10	[	[	X
fuelectenerg-3144	565	11	18	18	NUM
fuelectenerg-3144	565	12	]	]	PUNCT
fuelectenerg-3144	565	13	only	only	ADV
fuelectenerg-3144	565	14	provides	provide	VERB
fuelectenerg-3144	565	15	an	an	DET
fuelectenerg-3144	565	16	approximate	approximate	ADJ
fuelectenerg-3144	565	17	estimate	estimate	NOUN
fuelectenerg-3144	565	18	of	of	ADP
fuelectenerg-3144	565	19	the	the	DET
fuelectenerg-3144	565	20	number	number	NOUN
fuelectenerg-3144	565	21	of	of	ADP
fuelectenerg-3144	565	22	solutions	solution	NOUN
fuelectenerg-3144	565	23	,	,	PUNCT
fuelectenerg-3144	565	24	while	while	SCONJ
fuelectenerg-3144	565	25	[	[	X
fuelectenerg-3144	565	26	17	17	NUM
fuelectenerg-3144	565	27	]	]	PUNCT
fuelectenerg-3144	565	28	assumes	assume	VERB
fuelectenerg-3144	565	29	knowledge	knowledge	NOUN
fuelectenerg-3144	565	30	of	of	ADP
fuelectenerg-3144	565	31	the	the	DET
fuelectenerg-3144	565	32	exact	exact	ADJ
fuelectenerg-3144	565	33	number	number	NOUN
fuelectenerg-3144	565	34	of	of	ADP
fuelectenerg-3144	565	35	solutions	solution	NOUN
fuelectenerg-3144	565	36	.	.	PUNCT
fuelectenerg-3144	566	1	a	a	DET
fuelectenerg-3144	566	2	brief	brief	ADJ
fuelectenerg-3144	566	3	consideration	consideration	NOUN
fuelectenerg-3144	566	4	of	of	ADP
fuelectenerg-3144	566	5	the	the	DET
fuelectenerg-3144	566	6	mathematical	mathematical	ADJ
fuelectenerg-3144	566	7	analysis	analysis	NOUN
fuelectenerg-3144	566	8	used	use	VERB
fuelectenerg-3144	566	9	in	in	ADP
fuelectenerg-3144	566	10	[	[	X
fuelectenerg-3144	566	11	17	17	NUM
fuelectenerg-3144	566	12	]	]	PUNCT
fuelectenerg-3144	566	13	suggests	suggest	VERB
fuelectenerg-3144	566	14	that	that	SCONJ
fuelectenerg-3144	566	15	the	the	DET
fuelectenerg-3144	566	16	method	method	NOUN
fuelectenerg-3144	566	17	will	will	AUX
fuelectenerg-3144	566	18	still	still	ADV
fuelectenerg-3144	566	19	succeed	succeed	VERB
fuelectenerg-3144	566	20	with	with	ADP
fuelectenerg-3144	566	21	high	high	ADJ
fuelectenerg-3144	566	22	probability	probability	NOUN
fuelectenerg-3144	566	23	with	with	ADP
fuelectenerg-3144	566	24	only	only	ADV
fuelectenerg-3144	566	25	an	an	DET
fuelectenerg-3144	566	26	estimate	estimate	NOUN
fuelectenerg-3144	566	27	of	of	ADP
fuelectenerg-3144	566	28	the	the	DET
fuelectenerg-3144	566	29	number	number	NOUN
fuelectenerg-3144	566	30	of	of	ADP
fuelectenerg-3144	566	31	solutions	solution	NOUN
fuelectenerg-3144	566	32	,	,	PUNCT
fuelectenerg-3144	566	33	as	as	ADV
fuelectenerg-3144	566	34	long	long	ADV
fuelectenerg-3144	566	35	as	as	SCONJ
fuelectenerg-3144	566	36	this	this	DET
fuelectenerg-3144	566	37	estimate	estimate	NOUN
fuelectenerg-3144	566	38	is	be	AUX
fuelectenerg-3144	566	39	reasonably	reasonably	ADV
fuelectenerg-3144	566	40	accurate	accurate	ADJ
fuelectenerg-3144	566	41	.	.	PUNCT
fuelectenerg-3144	567	1	however	however	ADV
fuelectenerg-3144	567	2	,	,	PUNCT
fuelectenerg-3144	567	3	the	the	DET
fuelectenerg-3144	567	4	authors	author	NOUN
fuelectenerg-3144	567	5	in	in	ADP
fuelectenerg-3144	567	6	[	[	X
fuelectenerg-3144	567	7	17	17	NUM
fuelectenerg-3144	567	8	]	]	PUNCT
fuelectenerg-3144	567	9	do	do	AUX
fuelectenerg-3144	567	10	not	not	PART
fuelectenerg-3144	567	11	rigorously	rigorously	ADV
fuelectenerg-3144	567	12	prove	prove	VERB
fuelectenerg-3144	567	13	this	this	DET
fuelectenerg-3144	567	14	assertion	assertion	NOUN
fuelectenerg-3144	567	15	.	.	PUNCT
fuelectenerg-3144	568	1	in	in	ADP
fuelectenerg-3144	568	2	any	any	DET
fuelectenerg-3144	568	3	case	case	NOUN
fuelectenerg-3144	568	4	,	,	PUNCT
fuelectenerg-3144	568	5	the	the	DET
fuelectenerg-3144	568	6	validity	validity	NOUN
fuelectenerg-3144	568	7	of	of	ADP
fuelectenerg-3144	568	8	our	our	PRON
fuelectenerg-3144	568	9	present	present	ADJ
fuelectenerg-3144	568	10	work	work	NOUN
fuelectenerg-3144	568	11	is	be	AUX
fuelectenerg-3144	568	12	unaffected	unaffected	ADJ
fuelectenerg-3144	568	13	since	since	SCONJ
fuelectenerg-3144	568	14	[	[	X
fuelectenerg-3144	568	15	17	17	NUM
fuelectenerg-3144	568	16	]	]	PUNCT
fuelectenerg-3144	568	17	also	also	ADV
fuelectenerg-3144	568	18	give	give	VERB
fuelectenerg-3144	568	19	a	a	DET
fuelectenerg-3144	568	20	method	method	NOUN
fuelectenerg-3144	568	21	for	for	ADP
fuelectenerg-3144	568	22	finding	find	VERB
fuelectenerg-3144	568	23	one	one	NUM
fuelectenerg-3144	568	24	of	of	ADP
fuelectenerg-3144	568	25	an	an	DET
fuelectenerg-3144	568	26	unknown	unknown	ADJ
fuelectenerg-3144	568	27	number	number	NOUN
fuelectenerg-3144	568	28	of	of	ADP
fuelectenerg-3144	568	29	solutions	solution	NOUN
fuelectenerg-3144	568	30	,	,	PUNCT
fuelectenerg-3144	568	31	as	as	SCONJ
fuelectenerg-3144	568	32	mentioned	mention	VERB
fuelectenerg-3144	568	33	in	in	ADP
fuelectenerg-3144	568	34	the	the	DET
fuelectenerg-3144	568	35	main	main	ADJ
fuelectenerg-3144	568	36	text	text	NOUN
fuelectenerg-3144	568	37	.	.	PUNCT
fuelectenerg-3144	569	1	15	15	NUM
fuelectenerg-3144	569	2	182	182	NUM
fuelectenerg-3144	569	3	e.	e.	PROPN
fuelectenerg-3144	569	4	tsai	tsai	PROPN
fuelectenerg-3144	569	5	,	,	PUNCT
fuelectenerg-3144	569	6	m.	m.	PROPN
fuelectenerg-3144	569	7	perkowski	perkowski	PROPN
fuelectenerg-3144	569	8	a	a	DET
fuelectenerg-3144	569	9	quantum	quantum	ADJ
fuelectenerg-3144	569	10	algorithm	algorithm	NOUN
fuelectenerg-3144	569	11	for	for	ADP
fuelectenerg-3144	569	12	automata	automata	NOUN
fuelectenerg-3144	569	13	encoding	encode	VERB
fuelectenerg-3144	569	14	183	183	NUM
fuelectenerg-3144	569	15	|1	|1	NUM
fuelectenerg-3144	570	1	〉	〉	PROPN
fuelectenerg-3144	570	2	|1	|1	NUM
fuelectenerg-3144	570	3	〉	〉	PROPN
fuelectenerg-3144	570	4	|1	|1	NUM
fuelectenerg-3144	570	5	〉	〉	PROPN
fuelectenerg-3144	570	6	|1	|1	NUM
fuelectenerg-3144	570	7	〉	〉	NOUN
fuelectenerg-3144	570	8	x4	x4	PROPN
fuelectenerg-3144	570	9	x4	x4	PROPN
fuelectenerg-3144	570	10	x3	x3	PROPN
fuelectenerg-3144	571	1	x3	x3	PROPN
fuelectenerg-3144	571	2	x2	x2	INTJ
fuelectenerg-3144	572	1	x2	x2	INTJ
fuelectenerg-3144	572	2	x1	x1	NUM
fuelectenerg-3144	573	1	x1	x1	NUM
fuelectenerg-3144	573	2	y	y	PROPN
fuelectenerg-3144	573	3	y	y	PROPN
fuelectenerg-3144	573	4	⊕	⊕	PROPN
fuelectenerg-3144	573	5	(	(	PUNCT
fuelectenerg-3144	573	6	x1	x1	PROPN
fuelectenerg-3144	573	7	+	+	PROPN
fuelectenerg-3144	573	8	x2)(x3	x2)(x3	PROPN
fuelectenerg-3144	574	1	+	+	CCONJ
fuelectenerg-3144	574	2	x4	x4	ADJ
fuelectenerg-3144	574	3	)	)	PUNCT
fuelectenerg-3144	574	4	figure	figure	NOUN
fuelectenerg-3144	574	5	8	8	NUM
fuelectenerg-3144	574	6	:	:	PUNCT
fuelectenerg-3144	574	7	a	a	DET
fuelectenerg-3144	574	8	quantum	quantum	ADJ
fuelectenerg-3144	574	9	oracle	oracle	NOUN
fuelectenerg-3144	574	10	using	use	VERB
fuelectenerg-3144	574	11	ancilla	ancilla	NOUN
fuelectenerg-3144	574	12	qubits	qubit	NOUN
fuelectenerg-3144	574	13	.	.	PUNCT
fuelectenerg-3144	575	1	quantum	quantum	NOUN
fuelectenerg-3144	575	2	circuit	circuit	NOUN
fuelectenerg-3144	575	3	cost	cost	NOUN
fuelectenerg-3144	575	4	of	of	ADP
fuelectenerg-3144	575	5	such	such	DET
fuelectenerg-3144	575	6	an	an	DET
fuelectenerg-3144	575	7	oracle	oracle	NOUN
fuelectenerg-3144	575	8	would	would	AUX
fuelectenerg-3144	575	9	be	be	AUX
fuelectenerg-3144	575	10	higher	high	ADJ
fuelectenerg-3144	575	11	than	than	ADP
fuelectenerg-3144	575	12	the	the	DET
fuelectenerg-3144	575	13	cost	cost	NOUN
fuelectenerg-3144	575	14	of	of	ADP
fuelectenerg-3144	575	15	the	the	DET
fuelectenerg-3144	575	16	oracle	oracle	NOUN
fuelectenerg-3144	575	17	in	in	ADP
fuelectenerg-3144	575	18	figure	figure	NOUN
fuelectenerg-3144	575	19	8	8	NUM
fuelectenerg-3144	575	20	.	.	PUNCT
fuelectenerg-3144	576	1	in	in	ADP
fuelectenerg-3144	576	2	many	many	ADJ
fuelectenerg-3144	576	3	cases	case	NOUN
fuelectenerg-3144	576	4	,	,	PUNCT
fuelectenerg-3144	576	5	creating	create	VERB
fuelectenerg-3144	576	6	a	a	DET
fuelectenerg-3144	576	7	quantum	quantum	ADJ
fuelectenerg-3144	576	8	oracle	oracle	NOUN
fuelectenerg-3144	576	9	without	without	ADP
fuelectenerg-3144	576	10	using	use	VERB
fuelectenerg-3144	576	11	ancilla	ancilla	PROPN
fuelectenerg-3144	576	12	qubits	qubit	NOUN
fuelectenerg-3144	576	13	is	be	AUX
fuelectenerg-3144	576	14	in	in	ADP
fuelectenerg-3144	576	15	fact	fact	NOUN
fuelectenerg-3144	576	16	completely	completely	ADV
fuelectenerg-3144	576	17	impractical	impractical	ADJ
fuelectenerg-3144	576	18	.	.	PUNCT
fuelectenerg-3144	577	1	although	although	SCONJ
fuelectenerg-3144	577	2	the	the	DET
fuelectenerg-3144	577	3	judicious	judicious	ADJ
fuelectenerg-3144	577	4	employment	employment	NOUN
fuelectenerg-3144	577	5	of	of	ADP
fuelectenerg-3144	577	6	ancilla	ancilla	PROPN
fuelectenerg-3144	577	7	qubits	qubit	NOUN
fuelectenerg-3144	577	8	can	can	AUX
fuelectenerg-3144	577	9	greatly	greatly	ADV
fuelectenerg-3144	577	10	reduce	reduce	VERB
fuelectenerg-3144	577	11	quantum	quantum	NOUN
fuelectenerg-3144	577	12	circuit	circuit	NOUN
fuelectenerg-3144	577	13	costs	cost	NOUN
fuelectenerg-3144	577	14	,	,	PUNCT
fuelectenerg-3144	577	15	one	one	PRON
fuelectenerg-3144	577	16	must	must	AUX
fuelectenerg-3144	577	17	also	also	ADV
fuelectenerg-3144	577	18	keep	keep	VERB
fuelectenerg-3144	577	19	in	in	ADP
fuelectenerg-3144	577	20	mind	mind	NOUN
fuelectenerg-3144	577	21	that	that	SCONJ
fuelectenerg-3144	577	22	ancilla	ancilla	PROPN
fuelectenerg-3144	577	23	qubits	qubit	NOUN
fuelectenerg-3144	577	24	themselves	themselves	PRON
fuelectenerg-3144	577	25	are	be	AUX
fuelectenerg-3144	577	26	a	a	DET
fuelectenerg-3144	577	27	limited	limited	ADJ
fuelectenerg-3144	577	28	resource	resource	NOUN
fuelectenerg-3144	577	29	—	—	PUNCT
fuelectenerg-3144	577	30	in	in	ADP
fuelectenerg-3144	577	31	any	any	DET
fuelectenerg-3144	577	32	real	real	ADJ
fuelectenerg-3144	577	33	quantum	quantum	NOUN
fuelectenerg-3144	577	34	computer	computer	NOUN
fuelectenerg-3144	577	35	,	,	PUNCT
fuelectenerg-3144	577	36	only	only	ADV
fuelectenerg-3144	577	37	a	a	DET
fuelectenerg-3144	577	38	finite	finite	ADJ
fuelectenerg-3144	577	39	number	number	NOUN
fuelectenerg-3144	577	40	of	of	ADP
fuelectenerg-3144	577	41	qubits	qubit	NOUN
fuelectenerg-3144	577	42	will	will	AUX
fuelectenerg-3144	577	43	be	be	AUX
fuelectenerg-3144	577	44	available	available	ADJ
fuelectenerg-3144	577	45	.	.	PUNCT
fuelectenerg-3144	578	1	consequently	consequently	ADV
fuelectenerg-3144	578	2	,	,	PUNCT
fuelectenerg-3144	578	3	quantum	quantum	NOUN
fuelectenerg-3144	578	4	oracles	oracle	NOUN
fuelectenerg-3144	578	5	using	use	VERB
fuelectenerg-3144	578	6	excessive	excessive	ADJ
fuelectenerg-3144	578	7	quantities	quantity	NOUN
fuelectenerg-3144	578	8	of	of	ADP
fuelectenerg-3144	578	9	ancilla	ancilla	PROPN
fuelectenerg-3144	578	10	qubits	qubit	NOUN
fuelectenerg-3144	578	11	are	be	AUX
fuelectenerg-3144	578	12	unrealistic	unrealistic	ADJ
fuelectenerg-3144	578	13	in	in	ADP
fuelectenerg-3144	578	14	the	the	DET
fuelectenerg-3144	578	15	sense	sense	NOUN
fuelectenerg-3144	578	16	that	that	SCONJ
fuelectenerg-3144	578	17	no	no	DET
fuelectenerg-3144	578	18	quantum	quantum	ADJ
fuelectenerg-3144	578	19	computer	computer	NOUN
fuelectenerg-3144	578	20	will	will	AUX
fuelectenerg-3144	578	21	be	be	AUX
fuelectenerg-3144	578	22	able	able	ADJ
fuelectenerg-3144	578	23	to	to	PART
fuelectenerg-3144	578	24	execute	execute	VERB
fuelectenerg-3144	578	25	them	they	PRON
fuelectenerg-3144	578	26	.	.	PUNCT
fuelectenerg-3144	579	1	the	the	DET
fuelectenerg-3144	579	2	process	process	NOUN
fuelectenerg-3144	579	3	of	of	ADP
fuelectenerg-3144	579	4	designing	design	VERB
fuelectenerg-3144	579	5	a	a	DET
fuelectenerg-3144	579	6	quantum	quantum	ADJ
fuelectenerg-3144	579	7	oracle	oracle	NOUN
fuelectenerg-3144	579	8	(	(	PUNCT
fuelectenerg-3144	579	9	indeed	indeed	ADV
fuelectenerg-3144	579	10	,	,	PUNCT
fuelectenerg-3144	579	11	designing	design	VERB
fuelectenerg-3144	579	12	any	any	DET
fuelectenerg-3144	579	13	quantum	quantum	ADJ
fuelectenerg-3144	579	14	circuit	circuit	NOUN
fuelectenerg-3144	579	15	)	)	PUNCT
fuelectenerg-3144	579	16	nearly	nearly	ADV
fuelectenerg-3144	579	17	always	always	ADV
fuelectenerg-3144	579	18	involves	involve	VERB
fuelectenerg-3144	579	19	a	a	DET
fuelectenerg-3144	579	20	trade	trade	NOUN
fuelectenerg-3144	579	21	-	-	PUNCT
fuelectenerg-3144	579	22	off	off	NOUN
fuelectenerg-3144	579	23	between	between	ADP
fuelectenerg-3144	579	24	its	its	PRON
fuelectenerg-3144	579	25	quantum	quantum	NOUN
fuelectenerg-3144	579	26	cost	cost	NOUN
fuelectenerg-3144	579	27	and	and	CCONJ
fuelectenerg-3144	579	28	the	the	DET
fuelectenerg-3144	579	29	number	number	NOUN
fuelectenerg-3144	579	30	of	of	ADP
fuelectenerg-3144	579	31	ancilla	ancilla	PROPN
fuelectenerg-3144	579	32	qubits	qubit	NOUN
fuelectenerg-3144	579	33	it	it	PRON
fuelectenerg-3144	579	34	uses	use	VERB
fuelectenerg-3144	579	35	.	.	PUNCT
fuelectenerg-3144	580	1	3.2	3.2	NUM
fuelectenerg-3144	580	2	use	use	NOUN
fuelectenerg-3144	580	3	of	of	ADP
fuelectenerg-3144	580	4	grover	grover	NOUN
fuelectenerg-3144	580	5	’s	’s	PART
fuelectenerg-3144	580	6	algorithm	algorithm	NOUN
fuelectenerg-3144	580	7	to	to	PART
fuelectenerg-3144	580	8	solve	solve	VERB
fuelectenerg-3144	580	9	optimization	optimization	NOUN
fuelectenerg-3144	580	10	problems	problem	NOUN
fuelectenerg-3144	580	11	at	at	ADP
fuelectenerg-3144	580	12	this	this	DET
fuelectenerg-3144	580	13	point	point	NOUN
fuelectenerg-3144	580	14	,	,	PUNCT
fuelectenerg-3144	580	15	before	before	ADP
fuelectenerg-3144	580	16	turning	turn	VERB
fuelectenerg-3144	580	17	to	to	ADP
fuelectenerg-3144	580	18	the	the	DET
fuelectenerg-3144	580	19	design	design	NOUN
fuelectenerg-3144	580	20	of	of	ADP
fuelectenerg-3144	580	21	a	a	DET
fuelectenerg-3144	580	22	quantum	quantum	ADJ
fuelectenerg-3144	580	23	oracle	oracle	NOUN
fuelectenerg-3144	580	24	to	to	PART
fuelectenerg-3144	580	25	solve	solve	VERB
fuelectenerg-3144	580	26	the	the	DET
fuelectenerg-3144	580	27	state	state	NOUN
fuelectenerg-3144	580	28	encoding	encoding	NOUN
fuelectenerg-3144	580	29	problem	problem	NOUN
fuelectenerg-3144	580	30	,	,	PUNCT
fuelectenerg-3144	580	31	we	we	PRON
fuelectenerg-3144	580	32	first	first	ADV
fuelectenerg-3144	580	33	consider	consider	VERB
fuelectenerg-3144	580	34	an	an	DET
fuelectenerg-3144	580	35	interesting	interesting	ADJ
fuelectenerg-3144	580	36	issue	issue	NOUN
fuelectenerg-3144	580	37	regarding	regard	VERB
fuelectenerg-3144	580	38	the	the	DET
fuelectenerg-3144	580	39	usage	usage	NOUN
fuelectenerg-3144	580	40	of	of	ADP
fuelectenerg-3144	580	41	grover	grover	NOUN
fuelectenerg-3144	580	42	’s	’s	PART
fuelectenerg-3144	580	43	algorithm	algorithm	NOUN
fuelectenerg-3144	580	44	for	for	ADP
fuelectenerg-3144	580	45	this	this	DET
fuelectenerg-3144	580	46	problem	problem	NOUN
fuelectenerg-3144	580	47	,	,	PUNCT
fuelectenerg-3144	580	48	as	as	SCONJ
fuelectenerg-3144	580	49	it	it	PRON
fuelectenerg-3144	580	50	will	will	AUX
fuelectenerg-3144	580	51	affect	affect	VERB
fuelectenerg-3144	580	52	the	the	DET
fuelectenerg-3144	580	53	design	design	NOUN
fuelectenerg-3144	580	54	of	of	ADP
fuelectenerg-3144	580	55	the	the	DET
fuelectenerg-3144	580	56	quantum	quantum	ADJ
fuelectenerg-3144	580	57	oracle	oracle	NOUN
fuelectenerg-3144	580	58	.	.	PUNCT
fuelectenerg-3144	581	1	specifically	specifically	ADV
fuelectenerg-3144	581	2	,	,	PUNCT
fuelectenerg-3144	581	3	some	some	DET
fuelectenerg-3144	581	4	difficulty	difficulty	NOUN
fuelectenerg-3144	581	5	arises	arise	VERB
fuelectenerg-3144	581	6	from	from	ADP
fuelectenerg-3144	581	7	the	the	DET
fuelectenerg-3144	581	8	fact	fact	NOUN
fuelectenerg-3144	581	9	that	that	SCONJ
fuelectenerg-3144	581	10	,	,	PUNCT
fuelectenerg-3144	581	11	while	while	SCONJ
fuelectenerg-3144	581	12	state	state	NOUN
fuelectenerg-3144	581	13	encoding	encoding	NOUN
fuelectenerg-3144	581	14	cost	cost	NOUN
fuelectenerg-3144	581	15	minimization	minimization	NOUN
fuelectenerg-3144	581	16	is	be	AUX
fuelectenerg-3144	581	17	an	an	DET
fuelectenerg-3144	581	18	optimization	optimization	NOUN
fuelectenerg-3144	581	19	problem	problem	NOUN
fuelectenerg-3144	581	20	,	,	PUNCT
fuelectenerg-3144	581	21	grover	grover	PROPN
fuelectenerg-3144	581	22	’s	’s	PART
fuelectenerg-3144	581	23	algorithm	algorithm	NOUN
fuelectenerg-3144	581	24	directly	directly	ADV
fuelectenerg-3144	581	25	solves	solve	VERB
fuelectenerg-3144	581	26	only	only	ADV
fuelectenerg-3144	581	27	satisfaction	satisfaction	NOUN
fuelectenerg-3144	581	28	problems	problem	NOUN
fuelectenerg-3144	581	29	(	(	PUNCT
fuelectenerg-3144	581	30	a.k.a	a.k.a	INTJ
fuelectenerg-3144	581	31	.	.	PUNCT
fuelectenerg-3144	581	32	decision	decision	NOUN
fuelectenerg-3144	581	33	problems	problem	NOUN
fuelectenerg-3144	581	34	)	)	PUNCT
fuelectenerg-3144	581	35	.	.	PUNCT
fuelectenerg-3144	582	1	in	in	ADP
fuelectenerg-3144	582	2	other	other	ADJ
fuelectenerg-3144	582	3	words	word	NOUN
fuelectenerg-3144	582	4	,	,	PUNCT
fuelectenerg-3144	582	5	we	we	PRON
fuelectenerg-3144	582	6	wish	wish	VERB
fuelectenerg-3144	582	7	to	to	PART
fuelectenerg-3144	582	8	find	find	VERB
fuelectenerg-3144	582	9	the	the	DET
fuelectenerg-3144	582	10	minimum	minimum	ADJ
fuelectenerg-3144	582	11	value	value	NOUN
fuelectenerg-3144	582	12	of	of	ADP
fuelectenerg-3144	582	13	a	a	DET
fuelectenerg-3144	582	14	certain	certain	ADJ
fuelectenerg-3144	582	15	function	function	NOUN
fuelectenerg-3144	582	16	(	(	PUNCT
fuelectenerg-3144	582	17	the	the	DET
fuelectenerg-3144	582	18	cost	cost	NOUN
fuelectenerg-3144	582	19	function	function	NOUN
fuelectenerg-3144	582	20	)	)	PUNCT
fuelectenerg-3144	582	21	while	while	SCONJ
fuelectenerg-3144	582	22	grover	grover	PROPN
fuelectenerg-3144	582	23	’s	’s	PART
fuelectenerg-3144	582	24	algorithm	algorithm	NOUN
fuelectenerg-3144	582	25	can	can	AUX
fuelectenerg-3144	582	26	only	only	ADV
fuelectenerg-3144	582	27	find	find	VERB
fuelectenerg-3144	582	28	a	a	DET
fuelectenerg-3144	582	29	point	point	NOUN
fuelectenerg-3144	582	30	at	at	ADP
fuelectenerg-3144	582	31	which	which	PRON
fuelectenerg-3144	582	32	a	a	DET
fuelectenerg-3144	582	33	function	function	NOUN
fuelectenerg-3144	582	34	evaluates	evaluate	VERB
fuelectenerg-3144	582	35	to	to	ADP
fuelectenerg-3144	582	36	1	1	NUM
fuelectenerg-3144	582	37	.	.	PUNCT
fuelectenerg-3144	583	1	in	in	ADP
fuelectenerg-3144	583	2	order	order	NOUN
fuelectenerg-3144	583	3	to	to	PART
fuelectenerg-3144	583	4	use	use	VERB
fuelectenerg-3144	583	5	grover	grover	NOUN
fuelectenerg-3144	583	6	’s	’s	PART
fuelectenerg-3144	583	7	algorithm	algorithm	NOUN
fuelectenerg-3144	583	8	for	for	ADP
fuelectenerg-3144	583	9	optimization	optimization	NOUN
fuelectenerg-3144	583	10	,	,	PUNCT
fuelectenerg-3144	583	11	we	we	PRON
fuelectenerg-3144	583	12	reformulate	reformulate	VERB
fuelectenerg-3144	583	13	optimization	optimization	NOUN
fuelectenerg-3144	583	14	problems	problem	NOUN
fuelectenerg-3144	583	15	in	in	ADP
fuelectenerg-3144	583	16	terms	term	NOUN
fuelectenerg-3144	583	17	of	of	ADP
fuelectenerg-3144	583	18	a	a	DET
fuelectenerg-3144	583	19	sequence	sequence	NOUN
fuelectenerg-3144	583	20	of	of	ADP
fuelectenerg-3144	583	21	satisfaction	satisfaction	NOUN
fuelectenerg-3144	583	22	problems	problem	NOUN
fuelectenerg-3144	583	23	of	of	ADP
fuelectenerg-3144	583	24	the	the	DET
fuelectenerg-3144	583	25	form	form	NOUN
fuelectenerg-3144	583	26	:	:	PUNCT
fuelectenerg-3144	583	27	“	"	PUNCT
fuelectenerg-3144	583	28	find	find	VERB
fuelectenerg-3144	583	29	a	a	DET
fuelectenerg-3144	583	30	point	point	NOUN
fuelectenerg-3144	583	31	at	at	ADP
fuelectenerg-3144	583	32	which	which	PRON
fuelectenerg-3144	583	33	the	the	DET
fuelectenerg-3144	583	34	value	value	NOUN
fuelectenerg-3144	583	35	of	of	ADP
fuelectenerg-3144	583	36	the	the	DET
fuelectenerg-3144	583	37	function	function	NOUN
fuelectenerg-3144	583	38	f	f	PROPN
fuelectenerg-3144	583	39	is	be	AUX
fuelectenerg-3144	583	40	less	less	ADJ
fuelectenerg-3144	583	41	than	than	ADP
fuelectenerg-3144	583	42	r	r	NOUN
fuelectenerg-3144	583	43	”	"	PUNCT
fuelectenerg-3144	583	44	,	,	PUNCT
fuelectenerg-3144	583	45	where	where	SCONJ
fuelectenerg-3144	583	46	r	r	NOUN
fuelectenerg-3144	583	47	is	be	AUX
fuelectenerg-3144	583	48	an	an	DET
fuelectenerg-3144	583	49	arbitrary	arbitrary	ADJ
fuelectenerg-3144	583	50	threshold	threshold	NOUN
fuelectenerg-3144	583	51	.	.	PUNCT
fuelectenerg-3144	584	1	by	by	ADP
fuelectenerg-3144	584	2	executing	execute	VERB
fuelectenerg-3144	584	3	grover	grover	PROPN
fuelectenerg-3144	584	4	’s	’s	PART
fuelectenerg-3144	584	5	algorithm	algorithm	NOUN
fuelectenerg-3144	584	6	for	for	ADP
fuelectenerg-3144	584	7	different	different	ADJ
fuelectenerg-3144	584	8	values	value	NOUN
fuelectenerg-3144	584	9	of	of	ADP
fuelectenerg-3144	584	10	the	the	DET
fuelectenerg-3144	584	11	threshold	threshold	NOUN
fuelectenerg-3144	584	12	r	r	NOUN
fuelectenerg-3144	584	13	,	,	PUNCT
fuelectenerg-3144	584	14	one	one	PRON
fuelectenerg-3144	584	15	can	can	AUX
fuelectenerg-3144	584	16	conduct	conduct	VERB
fuelectenerg-3144	584	17	a	a	DET
fuelectenerg-3144	584	18	search	search	NOUN
fuelectenerg-3144	584	19	to	to	PART
fuelectenerg-3144	584	20	find	find	VERB
fuelectenerg-3144	584	21	the	the	DET
fuelectenerg-3144	584	22	minimum	minimum	ADJ
fuelectenerg-3144	584	23	value	value	NOUN
fuelectenerg-3144	584	24	of	of	ADP
fuelectenerg-3144	584	25	f	f	PROPN
fuelectenerg-3144	584	26	.	.	PUNCT
fuelectenerg-3144	585	1	for	for	ADP
fuelectenerg-3144	585	2	example	example	NOUN
fuelectenerg-3144	585	3	,	,	PUNCT
fuelectenerg-3144	585	4	such	such	DET
fuelectenerg-3144	585	5	a	a	DET
fuelectenerg-3144	585	6	search	search	NOUN
fuelectenerg-3144	585	7	might	might	AUX
fuelectenerg-3144	585	8	proceed	proceed	VERB
fuelectenerg-3144	585	9	according	accord	VERB
fuelectenerg-3144	585	10	to	to	ADP
fuelectenerg-3144	585	11	the	the	DET
fuelectenerg-3144	585	12	following	follow	VERB
fuelectenerg-3144	585	13	procedure	procedure	NOUN
fuelectenerg-3144	585	14	:	:	PUNCT
fuelectenerg-3144	585	15	1	1	X
fuelectenerg-3144	585	16	.	.	X
fuelectenerg-3144	585	17	choose	choose	VERB
fuelectenerg-3144	585	18	an	an	DET
fuelectenerg-3144	585	19	initial	initial	ADJ
fuelectenerg-3144	585	20	value	value	NOUN
fuelectenerg-3144	585	21	for	for	ADP
fuelectenerg-3144	585	22	the	the	DET
fuelectenerg-3144	585	23	threshold	threshold	NOUN
fuelectenerg-3144	585	24	a.	a.	NOUN
fuelectenerg-3144	585	25	ideally	ideally	ADV
fuelectenerg-3144	585	26	,	,	PUNCT
fuelectenerg-3144	585	27	this	this	DET
fuelectenerg-3144	585	28	initial	initial	ADJ
fuelectenerg-3144	585	29	value	value	NOUN
fuelectenerg-3144	585	30	should	should	AUX
fuelectenerg-3144	585	31	be	be	AUX
fuelectenerg-3144	585	32	close	close	ADJ
fuelectenerg-3144	585	33	to	to	ADP
fuelectenerg-3144	585	34	the	the	DET
fuelectenerg-3144	585	35	minimum	minimum	ADJ
fuelectenerg-3144	585	36	value	value	NOUN
fuelectenerg-3144	585	37	of	of	ADP
fuelectenerg-3144	585	38	f	f	PROPN
fuelectenerg-3144	585	39	,	,	PUNCT
fuelectenerg-3144	585	40	if	if	SCONJ
fuelectenerg-3144	585	41	an	an	DET
fuelectenerg-3144	585	42	estimate	estimate	NOUN
fuelectenerg-3144	585	43	of	of	ADP
fuelectenerg-3144	585	44	the	the	DET
fuelectenerg-3144	585	45	minimum	minimum	NOUN
fuelectenerg-3144	585	46	is	be	AUX
fuelectenerg-3144	585	47	available	available	ADJ
fuelectenerg-3144	585	48	;	;	PUNCT
fuelectenerg-3144	585	49	if	if	SCONJ
fuelectenerg-3144	585	50	not	not	PART
fuelectenerg-3144	585	51	,	,	PUNCT
fuelectenerg-3144	585	52	the	the	DET
fuelectenerg-3144	585	53	search	search	NOUN
fuelectenerg-3144	585	54	procedure	procedure	NOUN
fuelectenerg-3144	585	55	will	will	AUX
fuelectenerg-3144	585	56	still	still	ADV
fuelectenerg-3144	585	57	function	function	VERB
fuelectenerg-3144	585	58	correctly	correctly	ADV
fuelectenerg-3144	585	59	with	with	ADP
fuelectenerg-3144	585	60	any	any	DET
fuelectenerg-3144	585	61	initial	initial	ADJ
fuelectenerg-3144	585	62	value	value	NOUN
fuelectenerg-3144	585	63	.	.	PUNCT
fuelectenerg-3144	586	1	16	16	NUM
fuelectenerg-3144	586	2	2	2	NUM
fuelectenerg-3144	586	3	.	.	X
fuelectenerg-3144	586	4	execute	execute	VERB
fuelectenerg-3144	586	5	grover	grover	PROPN
fuelectenerg-3144	586	6	’s	’s	PART
fuelectenerg-3144	586	7	algorithm	algorithm	NOUN
fuelectenerg-3144	586	8	for	for	ADP
fuelectenerg-3144	586	9	the	the	DET
fuelectenerg-3144	586	10	chosen	choose	VERB
fuelectenerg-3144	586	11	threshold	threshold	NOUN
fuelectenerg-3144	586	12	as	as	SCONJ
fuelectenerg-3144	586	13	previously	previously	ADV
fuelectenerg-3144	586	14	described	describe	VERB
fuelectenerg-3144	586	15	.	.	PUNCT
fuelectenerg-3144	587	1	3	3	X
fuelectenerg-3144	587	2	.	.	X
fuelectenerg-3144	587	3	if	if	SCONJ
fuelectenerg-3144	587	4	grover	grover	PROPN
fuelectenerg-3144	587	5	’s	’s	PART
fuelectenerg-3144	587	6	algorithm	algorithm	PROPN
fuelectenerg-3144	587	7	finds	find	VERB
fuelectenerg-3144	587	8	a	a	DET
fuelectenerg-3144	587	9	solution	solution	NOUN
fuelectenerg-3144	587	10	,	,	PUNCT
fuelectenerg-3144	587	11	proceed	proceed	VERB
fuelectenerg-3144	587	12	to	to	PART
fuelectenerg-3144	587	13	step	step	VERB
fuelectenerg-3144	587	14	4	4	NUM
fuelectenerg-3144	587	15	.	.	PUNCT
fuelectenerg-3144	588	1	otherwise	otherwise	ADV
fuelectenerg-3144	588	2	,	,	PUNCT
fuelectenerg-3144	588	3	double	double	VERB
fuelectenerg-3144	588	4	the	the	DET
fuelectenerg-3144	588	5	threshold	threshold	NOUN
fuelectenerg-3144	588	6	a	a	PRON
fuelectenerg-3144	588	7	and	and	CCONJ
fuelectenerg-3144	588	8	repeat	repeat	VERB
fuelectenerg-3144	588	9	from	from	ADP
fuelectenerg-3144	588	10	step	step	NOUN
fuelectenerg-3144	588	11	2	2	NUM
fuelectenerg-3144	588	12	.	.	NOUN
fuelectenerg-3144	588	13	4	4	NUM
fuelectenerg-3144	588	14	.	.	X
fuelectenerg-3144	589	1	the	the	DET
fuelectenerg-3144	589	2	preceding	precede	VERB
fuelectenerg-3144	589	3	steps	step	NOUN
fuelectenerg-3144	589	4	give	give	VERB
fuelectenerg-3144	589	5	a	a	DET
fuelectenerg-3144	589	6	lower	low	ADJ
fuelectenerg-3144	589	7	and	and	CCONJ
fuelectenerg-3144	589	8	upper	upper	ADJ
fuelectenerg-3144	589	9	bound	bind	VERB
fuelectenerg-3144	589	10	for	for	ADP
fuelectenerg-3144	589	11	the	the	DET
fuelectenerg-3144	589	12	minimum	minimum	NOUN
fuelectenerg-3144	589	13	of	of	ADP
fuelectenerg-3144	589	14	f	f	PROPN
fuelectenerg-3144	589	15	.	.	PUNCT
fuelectenerg-3144	590	1	in	in	ADP
fuelectenerg-3144	590	2	other	other	ADJ
fuelectenerg-3144	590	3	words	word	NOUN
fuelectenerg-3144	590	4	,	,	PUNCT
fuelectenerg-3144	590	5	one	one	NOUN
fuelectenerg-3144	590	6	obtains	obtain	VERB
fuelectenerg-3144	590	7	threshold	threshold	NOUN
fuelectenerg-3144	590	8	values	value	NOUN
fuelectenerg-3144	590	9	amin	amin	PROPN
fuelectenerg-3144	590	10	and	and	CCONJ
fuelectenerg-3144	590	11	amax	amax	PROPN
fuelectenerg-3144	590	12	such	such	ADJ
fuelectenerg-3144	590	13	that	that	SCONJ
fuelectenerg-3144	590	14	the	the	DET
fuelectenerg-3144	590	15	function	function	NOUN
fuelectenerg-3144	590	16	f	f	PROPN
fuelectenerg-3144	590	17	never	never	ADV
fuelectenerg-3144	590	18	takes	take	VERB
fuelectenerg-3144	590	19	on	on	ADP
fuelectenerg-3144	590	20	any	any	DET
fuelectenerg-3144	590	21	value	value	NOUN
fuelectenerg-3144	590	22	less	less	ADJ
fuelectenerg-3144	590	23	than	than	ADP
fuelectenerg-3144	590	24	amin	amin	NOUN
fuelectenerg-3144	590	25	(	(	PUNCT
fuelectenerg-3144	590	26	as	as	SCONJ
fuelectenerg-3144	590	27	determined	determine	VERB
fuelectenerg-3144	590	28	using	use	VERB
fuelectenerg-3144	590	29	grover	grover	PROPN
fuelectenerg-3144	590	30	’s	’s	PART
fuelectenerg-3144	590	31	algorithm	algorithm	NOUN
fuelectenerg-3144	590	32	)	)	PUNCT
fuelectenerg-3144	590	33	but	but	CCONJ
fuelectenerg-3144	590	34	takes	take	VERB
fuelectenerg-3144	590	35	on	on	ADP
fuelectenerg-3144	590	36	a	a	DET
fuelectenerg-3144	590	37	value	value	NOUN
fuelectenerg-3144	590	38	less	less	ADJ
fuelectenerg-3144	590	39	than	than	ADP
fuelectenerg-3144	590	40	amax	amax	PROPN
fuelectenerg-3144	590	41	at	at	ADP
fuelectenerg-3144	590	42	one	one	NUM
fuelectenerg-3144	590	43	or	or	CCONJ
fuelectenerg-3144	590	44	more	more	ADJ
fuelectenerg-3144	590	45	points	point	NOUN
fuelectenerg-3144	590	46	.	.	PUNCT
fuelectenerg-3144	591	1	5	5	X
fuelectenerg-3144	591	2	.	.	X
fuelectenerg-3144	591	3	execute	execute	VERB
fuelectenerg-3144	591	4	grover	grover	PROPN
fuelectenerg-3144	591	5	’s	’s	PART
fuelectenerg-3144	591	6	algorithm	algorithm	NOUN
fuelectenerg-3144	591	7	for	for	ADP
fuelectenerg-3144	591	8	a	a	DET
fuelectenerg-3144	591	9	threshold	threshold	NOUN
fuelectenerg-3144	591	10	value	value	NOUN
fuelectenerg-3144	591	11	of	of	ADP
fuelectenerg-3144	591	12	(	(	PUNCT
fuelectenerg-3144	591	13	amin+amax)/2	amin+amax)/2	PROPN
fuelectenerg-3144	591	14	.	.	PROPN
fuelectenerg-3144	591	15	6	6	NUM
fuelectenerg-3144	591	16	.	.	PUNCT
fuelectenerg-3144	592	1	if	if	SCONJ
fuelectenerg-3144	592	2	grover	grover	PROPN
fuelectenerg-3144	592	3	’s	’s	PART
fuelectenerg-3144	592	4	algorithm	algorithm	PROPN
fuelectenerg-3144	592	5	finds	find	VERB
fuelectenerg-3144	592	6	a	a	DET
fuelectenerg-3144	592	7	solution	solution	NOUN
fuelectenerg-3144	592	8	,	,	PUNCT
fuelectenerg-3144	592	9	then	then	ADV
fuelectenerg-3144	592	10	(	(	PUNCT
fuelectenerg-3144	592	11	amin	amin	NOUN
fuelectenerg-3144	592	12	+	+	CCONJ
fuelectenerg-3144	592	13	amax)/2	amax)/2	NOUN
fuelectenerg-3144	592	14	gives	give	VERB
fuelectenerg-3144	592	15	a	a	DET
fuelectenerg-3144	592	16	new	new	ADJ
fuelectenerg-3144	592	17	upper	upper	ADJ
fuelectenerg-3144	592	18	bound	bind	VERB
fuelectenerg-3144	592	19	for	for	ADP
fuelectenerg-3144	592	20	the	the	DET
fuelectenerg-3144	592	21	minimum	minimum	NOUN
fuelectenerg-3144	592	22	of	of	ADP
fuelectenerg-3144	592	23	f	f	PROPN
fuelectenerg-3144	592	24	;	;	PUNCT
fuelectenerg-3144	592	25	otherwise	otherwise	ADV
fuelectenerg-3144	592	26	,	,	PUNCT
fuelectenerg-3144	592	27	it	it	PRON
fuelectenerg-3144	592	28	gives	give	VERB
fuelectenerg-3144	592	29	a	a	DET
fuelectenerg-3144	592	30	new	new	ADJ
fuelectenerg-3144	592	31	lower	lower	ADV
fuelectenerg-3144	592	32	bound	bind	VERB
fuelectenerg-3144	592	33	.	.	PUNCT
fuelectenerg-3144	593	1	repeat	repeat	VERB
fuelectenerg-3144	593	2	from	from	ADP
fuelectenerg-3144	593	3	step	step	NOUN
fuelectenerg-3144	593	4	4	4	NUM
fuelectenerg-3144	593	5	until	until	SCONJ
fuelectenerg-3144	593	6	the	the	DET
fuelectenerg-3144	593	7	minimum	minimum	ADJ
fuelectenerg-3144	593	8	value	value	NOUN
fuelectenerg-3144	593	9	of	of	ADP
fuelectenerg-3144	593	10	f	f	PROPN
fuelectenerg-3144	593	11	is	be	AUX
fuelectenerg-3144	593	12	determined	determine	VERB
fuelectenerg-3144	593	13	.	.	PUNCT
fuelectenerg-3144	594	1	the	the	DET
fuelectenerg-3144	594	2	final	final	ADJ
fuelectenerg-3144	594	3	output	output	NOUN
fuelectenerg-3144	594	4	of	of	ADP
fuelectenerg-3144	594	5	grover	grover	PROPN
fuelectenerg-3144	594	6	’s	’s	PART
fuelectenerg-3144	594	7	algorithm	algorithm	NOUN
fuelectenerg-3144	594	8	gives	give	VERB
fuelectenerg-3144	594	9	the	the	DET
fuelectenerg-3144	594	10	input	input	NOUN
fuelectenerg-3144	594	11	to	to	ADP
fuelectenerg-3144	594	12	f	f	PROPN
fuelectenerg-3144	594	13	at	at	ADP
fuelectenerg-3144	594	14	which	which	PRON
fuelectenerg-3144	594	15	the	the	DET
fuelectenerg-3144	594	16	minimum	minimum	NOUN
fuelectenerg-3144	594	17	occurs	occur	VERB
fuelectenerg-3144	594	18	.	.	PUNCT
fuelectenerg-3144	595	1	the	the	DET
fuelectenerg-3144	595	2	above	above	ADJ
fuelectenerg-3144	595	3	sequence	sequence	NOUN
fuelectenerg-3144	595	4	of	of	ADP
fuelectenerg-3144	595	5	steps	step	NOUN
fuelectenerg-3144	595	6	essentially	essentially	ADV
fuelectenerg-3144	595	7	describes	describe	VERB
fuelectenerg-3144	595	8	the	the	DET
fuelectenerg-3144	595	9	well	well	ADV
fuelectenerg-3144	595	10	-	-	PUNCT
fuelectenerg-3144	595	11	known	know	VERB
fuelectenerg-3144	595	12	binary	binary	NOUN
fuelectenerg-3144	595	13	search	search	NOUN
fuelectenerg-3144	595	14	strategy	strategy	NOUN
fuelectenerg-3144	595	15	.	.	PUNCT
fuelectenerg-3144	596	1	we	we	PRON
fuelectenerg-3144	596	2	give	give	VERB
fuelectenerg-3144	596	3	this	this	DET
fuelectenerg-3144	596	4	strategy	strategy	NOUN
fuelectenerg-3144	596	5	merely	merely	ADV
fuelectenerg-3144	596	6	as	as	ADP
fuelectenerg-3144	596	7	an	an	DET
fuelectenerg-3144	596	8	example	example	NOUN
fuelectenerg-3144	596	9	showing	show	VERB
fuelectenerg-3144	596	10	that	that	SCONJ
fuelectenerg-3144	596	11	such	such	DET
fuelectenerg-3144	596	12	a	a	DET
fuelectenerg-3144	596	13	search	search	NOUN
fuelectenerg-3144	596	14	is	be	AUX
fuelectenerg-3144	596	15	indeed	indeed	ADV
fuelectenerg-3144	596	16	possible	possible	ADJ
fuelectenerg-3144	596	17	.	.	PUNCT
fuelectenerg-3144	597	1	in	in	ADP
fuelectenerg-3144	597	2	particular	particular	ADJ
fuelectenerg-3144	597	3	,	,	PUNCT
fuelectenerg-3144	597	4	we	we	PRON
fuelectenerg-3144	597	5	do	do	AUX
fuelectenerg-3144	597	6	not	not	PART
fuelectenerg-3144	597	7	claim	claim	VERB
fuelectenerg-3144	597	8	that	that	SCONJ
fuelectenerg-3144	597	9	this	this	DET
fuelectenerg-3144	597	10	strategy	strategy	NOUN
fuelectenerg-3144	597	11	is	be	AUX
fuelectenerg-3144	597	12	optimal	optimal	ADJ
fuelectenerg-3144	597	13	with	with	ADP
fuelectenerg-3144	597	14	respect	respect	NOUN
fuelectenerg-3144	597	15	to	to	ADP
fuelectenerg-3144	597	16	expected	expect	VERB
fuelectenerg-3144	597	17	runtime	runtime	NOUN
fuelectenerg-3144	597	18	or	or	CCONJ
fuelectenerg-3144	597	19	any	any	DET
fuelectenerg-3144	597	20	other	other	ADJ
fuelectenerg-3144	597	21	measure	measure	NOUN
fuelectenerg-3144	597	22	.	.	PUNCT
fuelectenerg-3144	598	1	the	the	DET
fuelectenerg-3144	598	2	question	question	NOUN
fuelectenerg-3144	598	3	of	of	ADP
fuelectenerg-3144	598	4	evaluating	evaluate	VERB
fuelectenerg-3144	598	5	different	different	ADJ
fuelectenerg-3144	598	6	search	search	NOUN
fuelectenerg-3144	598	7	strategies	strategy	NOUN
fuelectenerg-3144	598	8	,	,	PUNCT
fuelectenerg-3144	598	9	as	as	ADV
fuelectenerg-3144	598	10	well	well	ADV
fuelectenerg-3144	598	11	as	as	ADP
fuelectenerg-3144	598	12	what	what	PRON
fuelectenerg-3144	598	13	standard	standard	NOUN
fuelectenerg-3144	598	14	should	should	AUX
fuelectenerg-3144	598	15	be	be	AUX
fuelectenerg-3144	598	16	used	use	VERB
fuelectenerg-3144	598	17	to	to	PART
fuelectenerg-3144	598	18	evaluate	evaluate	VERB
fuelectenerg-3144	598	19	them	they	PRON
fuelectenerg-3144	598	20	in	in	ADP
fuelectenerg-3144	598	21	the	the	DET
fuelectenerg-3144	598	22	first	first	ADJ
fuelectenerg-3144	598	23	place	place	NOUN
fuelectenerg-3144	598	24	,	,	PUNCT
fuelectenerg-3144	598	25	falls	fall	VERB
fuelectenerg-3144	598	26	outside	outside	ADP
fuelectenerg-3144	598	27	the	the	DET
fuelectenerg-3144	598	28	scope	scope	NOUN
fuelectenerg-3144	598	29	of	of	ADP
fuelectenerg-3144	598	30	this	this	DET
fuelectenerg-3144	598	31	paper	paper	NOUN
fuelectenerg-3144	598	32	.	.	PUNCT
fuelectenerg-3144	599	1	we	we	PRON
fuelectenerg-3144	599	2	leave	leave	VERB
fuelectenerg-3144	599	3	this	this	DET
fuelectenerg-3144	599	4	avenue	avenue	NOUN
fuelectenerg-3144	599	5	of	of	ADP
fuelectenerg-3144	599	6	exploration	exploration	NOUN
fuelectenerg-3144	599	7	open	open	ADJ
fuelectenerg-3144	599	8	for	for	ADP
fuelectenerg-3144	599	9	future	future	ADJ
fuelectenerg-3144	599	10	work	work	NOUN
fuelectenerg-3144	599	11	.	.	PUNCT
fuelectenerg-3144	600	1	we	we	PRON
fuelectenerg-3144	600	2	make	make	VERB
fuelectenerg-3144	600	3	the	the	DET
fuelectenerg-3144	600	4	crucial	crucial	ADJ
fuelectenerg-3144	600	5	observation	observation	NOUN
fuelectenerg-3144	600	6	that	that	SCONJ
fuelectenerg-3144	600	7	the	the	DET
fuelectenerg-3144	600	8	above	above	ADJ
fuelectenerg-3144	600	9	procedure	procedure	NOUN
fuelectenerg-3144	600	10	involves	involve	VERB
fuelectenerg-3144	600	11	executing	execute	VERB
fuelectenerg-3144	600	12	grover	grover	PROPN
fuelectenerg-3144	600	13	’s	’s	PART
fuelectenerg-3144	600	14	algorithm	algorithm	NOUN
fuelectenerg-3144	600	15	using	use	VERB
fuelectenerg-3144	600	16	not	not	PART
fuelectenerg-3144	600	17	a	a	DET
fuelectenerg-3144	600	18	single	single	ADJ
fuelectenerg-3144	600	19	,	,	PUNCT
fuelectenerg-3144	600	20	static	static	ADJ
fuelectenerg-3144	600	21	quantum	quantum	NOUN
fuelectenerg-3144	600	22	oracle	oracle	NOUN
fuelectenerg-3144	600	23	,	,	PUNCT
fuelectenerg-3144	600	24	but	but	CCONJ
fuelectenerg-3144	600	25	a	a	DET
fuelectenerg-3144	600	26	sequence	sequence	NOUN
fuelectenerg-3144	600	27	of	of	ADP
fuelectenerg-3144	600	28	quantum	quantum	ADJ
fuelectenerg-3144	600	29	oracles	oracle	NOUN
fuelectenerg-3144	600	30	that	that	PRON
fuelectenerg-3144	600	31	are	be	AUX
fuelectenerg-3144	600	32	dynamically	dynamically	ADV
fuelectenerg-3144	600	33	created	create	VERB
fuelectenerg-3144	600	34	on	on	ADP
fuelectenerg-3144	600	35	-	-	PUNCT
fuelectenerg-3144	600	36	thefly	thefly	NOUN
fuelectenerg-3144	600	37	for	for	ADP
fuelectenerg-3144	600	38	different	different	ADJ
fuelectenerg-3144	600	39	thresholds	threshold	NOUN
fuelectenerg-3144	600	40	.	.	PUNCT
fuelectenerg-3144	601	1	in	in	ADP
fuelectenerg-3144	601	2	particular	particular	ADJ
fuelectenerg-3144	601	3	,	,	PUNCT
fuelectenerg-3144	601	4	the	the	DET
fuelectenerg-3144	601	5	threshold	threshold	NOUN
fuelectenerg-3144	601	6	value	value	NOUN
fuelectenerg-3144	601	7	r	r	NOUN
fuelectenerg-3144	601	8	is	be	AUX
fuelectenerg-3144	601	9	not	not	PART
fuelectenerg-3144	601	10	itself	itself	PRON
fuelectenerg-3144	601	11	an	an	DET
fuelectenerg-3144	601	12	input	input	NOUN
fuelectenerg-3144	601	13	to	to	ADP
fuelectenerg-3144	601	14	the	the	DET
fuelectenerg-3144	601	15	oracle	oracle	NOUN
fuelectenerg-3144	601	16	,	,	PUNCT
fuelectenerg-3144	601	17	meaning	mean	VERB
fuelectenerg-3144	601	18	that	that	SCONJ
fuelectenerg-3144	601	19	grover	grover	PROPN
fuelectenerg-3144	601	20	’s	’s	PART
fuelectenerg-3144	601	21	algorithm	algorithm	NOUN
fuelectenerg-3144	601	22	does	do	AUX
fuelectenerg-3144	601	23	not	not	PART
fuelectenerg-3144	601	24	directly	directly	ADV
fuelectenerg-3144	601	25	search	search	VERB
fuelectenerg-3144	601	26	for	for	ADP
fuelectenerg-3144	601	27	the	the	DET
fuelectenerg-3144	601	28	threshold	threshold	NOUN
fuelectenerg-3144	601	29	.	.	PUNCT
fuelectenerg-3144	602	1	grover	grover	PROPN
fuelectenerg-3144	602	2	’s	’s	PART
fuelectenerg-3144	602	3	algorithm	algorithm	NOUN
fuelectenerg-3144	602	4	is	be	AUX
fuelectenerg-3144	602	5	in	in	ADP
fuelectenerg-3144	602	6	fact	fact	NOUN
fuelectenerg-3144	602	7	incapable	incapable	ADJ
fuelectenerg-3144	602	8	of	of	ADP
fuelectenerg-3144	602	9	directly	directly	ADV
fuelectenerg-3144	602	10	searching	search	VERB
fuelectenerg-3144	602	11	for	for	ADP
fuelectenerg-3144	602	12	the	the	DET
fuelectenerg-3144	602	13	threshold	threshold	NOUN
fuelectenerg-3144	602	14	since	since	SCONJ
fuelectenerg-3144	602	15	,	,	PUNCT
fuelectenerg-3144	602	16	as	as	SCONJ
fuelectenerg-3144	602	17	previously	previously	ADV
fuelectenerg-3144	602	18	discussed	discuss	VERB
fuelectenerg-3144	602	19	,	,	PUNCT
fuelectenerg-3144	602	20	that	that	PRON
fuelectenerg-3144	602	21	constitutes	constitute	VERB
fuelectenerg-3144	602	22	an	an	DET
fuelectenerg-3144	602	23	optimization	optimization	NOUN
fuelectenerg-3144	602	24	,	,	PUNCT
fuelectenerg-3144	602	25	not	not	PART
fuelectenerg-3144	602	26	satisfaction	satisfaction	NOUN
fuelectenerg-3144	602	27	,	,	PUNCT
fuelectenerg-3144	602	28	problem	problem	NOUN
fuelectenerg-3144	602	29	.	.	PUNCT
fuelectenerg-3144	603	1	instead	instead	ADV
fuelectenerg-3144	603	2	,	,	PUNCT
fuelectenerg-3144	603	3	the	the	DET
fuelectenerg-3144	603	4	threshold	threshold	NOUN
fuelectenerg-3144	603	5	value	value	NOUN
fuelectenerg-3144	603	6	is	be	AUX
fuelectenerg-3144	603	7	built	build	VERB
fuelectenerg-3144	603	8	into	into	ADP
fuelectenerg-3144	603	9	the	the	DET
fuelectenerg-3144	603	10	oracle	oracle	NOUN
fuelectenerg-3144	603	11	,	,	PUNCT
fuelectenerg-3144	603	12	meaning	mean	VERB
fuelectenerg-3144	603	13	that	that	SCONJ
fuelectenerg-3144	603	14	a	a	DET
fuelectenerg-3144	603	15	different	different	ADJ
fuelectenerg-3144	603	16	oracle	oracle	NOUN
fuelectenerg-3144	603	17	is	be	AUX
fuelectenerg-3144	603	18	created	create	VERB
fuelectenerg-3144	603	19	for	for	ADP
fuelectenerg-3144	603	20	each	each	DET
fuelectenerg-3144	603	21	threshold	threshold	NOUN
fuelectenerg-3144	603	22	value	value	NOUN
fuelectenerg-3144	603	23	.	.	PUNCT
fuelectenerg-3144	604	1	consequently	consequently	ADV
fuelectenerg-3144	604	2	,	,	PUNCT
fuelectenerg-3144	604	3	to	to	PART
fuelectenerg-3144	604	4	successfully	successfully	ADV
fuelectenerg-3144	604	5	use	use	VERB
fuelectenerg-3144	604	6	the	the	DET
fuelectenerg-3144	604	7	above	above	ADJ
fuelectenerg-3144	604	8	procedure	procedure	NOUN
fuelectenerg-3144	604	9	,	,	PUNCT
fuelectenerg-3144	604	10	one	one	PRON
fuelectenerg-3144	604	11	requires	require	VERB
fuelectenerg-3144	604	12	not	not	PART
fuelectenerg-3144	604	13	just	just	ADV
fuelectenerg-3144	604	14	a	a	DET
fuelectenerg-3144	604	15	single	single	ADJ
fuelectenerg-3144	604	16	quantum	quantum	NOUN
fuelectenerg-3144	604	17	oracle	oracle	NOUN
fuelectenerg-3144	604	18	but	but	CCONJ
fuelectenerg-3144	604	19	a	a	DET
fuelectenerg-3144	604	20	method	method	NOUN
fuelectenerg-3144	604	21	for	for	ADP
fuelectenerg-3144	604	22	generating	generate	VERB
fuelectenerg-3144	604	23	quantum	quantum	ADJ
fuelectenerg-3144	604	24	oracles	oracle	NOUN
fuelectenerg-3144	604	25	for	for	ADP
fuelectenerg-3144	604	26	arbitrary	arbitrary	ADJ
fuelectenerg-3144	604	27	threshold	threshold	NOUN
fuelectenerg-3144	604	28	values	value	NOUN
fuelectenerg-3144	604	29	.	.	PUNCT
fuelectenerg-3144	605	1	we	we	PRON
fuelectenerg-3144	605	2	additionally	additionally	ADV
fuelectenerg-3144	605	3	observe	observe	VERB
fuelectenerg-3144	605	4	that	that	SCONJ
fuelectenerg-3144	605	5	repeated	repeat	VERB
fuelectenerg-3144	605	6	execution	execution	NOUN
fuelectenerg-3144	605	7	of	of	ADP
fuelectenerg-3144	605	8	grover	grover	PROPN
fuelectenerg-3144	605	9	’s	’s	PART
fuelectenerg-3144	605	10	algorithm	algorithm	NOUN
fuelectenerg-3144	605	11	using	use	VERB
fuelectenerg-3144	605	12	a	a	DET
fuelectenerg-3144	605	13	sequence	sequence	NOUN
fuelectenerg-3144	605	14	of	of	ADP
fuelectenerg-3144	605	15	dynamically	dynamically	ADV
fuelectenerg-3144	605	16	generated	generate	VERB
fuelectenerg-3144	605	17	quantum	quantum	ADJ
fuelectenerg-3144	605	18	oracles	oracle	NOUN
fuelectenerg-3144	605	19	makes	make	VERB
fuelectenerg-3144	605	20	use	use	NOUN
fuelectenerg-3144	605	21	of	of	ADP
fuelectenerg-3144	605	22	the	the	DET
fuelectenerg-3144	605	23	freely	freely	ADV
fuelectenerg-3144	605	24	reconfigurable	reconfigurable	ADJ
fuelectenerg-3144	605	25	nature	nature	NOUN
fuelectenerg-3144	605	26	of	of	ADP
fuelectenerg-3144	605	27	quantum	quantum	ADJ
fuelectenerg-3144	605	28	circuits	circuit	NOUN
fuelectenerg-3144	605	29	.	.	PUNCT
fuelectenerg-3144	606	1	more	more	ADV
fuelectenerg-3144	606	2	specifically	specifically	ADV
fuelectenerg-3144	606	3	,	,	PUNCT
fuelectenerg-3144	606	4	a	a	DET
fuelectenerg-3144	606	5	quantum	quantum	NOUN
fuelectenerg-3144	606	6	circuit	circuit	NOUN
fuelectenerg-3144	606	7	is	be	AUX
fuelectenerg-3144	606	8	not	not	PART
fuelectenerg-3144	606	9	a	a	DET
fuelectenerg-3144	606	10	hardware	hardware	NOUN
fuelectenerg-3144	606	11	circuit	circuit	NOUN
fuelectenerg-3144	606	12	in	in	ADP
fuelectenerg-3144	606	13	the	the	DET
fuelectenerg-3144	606	14	same	same	ADJ
fuelectenerg-3144	606	15	sense	sense	NOUN
fuelectenerg-3144	606	16	as	as	ADP
fuelectenerg-3144	606	17	a	a	DET
fuelectenerg-3144	606	18	classical	classical	ADJ
fuelectenerg-3144	606	19	digital	digital	ADJ
fuelectenerg-3144	606	20	logic	logic	NOUN
fuelectenerg-3144	606	21	circuit	circuit	NOUN
fuelectenerg-3144	606	22	—	—	PUNCT
fuelectenerg-3144	606	23	in	in	ADP
fuelectenerg-3144	606	24	a	a	DET
fuelectenerg-3144	606	25	quantum	quantum	ADJ
fuelectenerg-3144	606	26	circuit	circuit	NOUN
fuelectenerg-3144	606	27	,	,	PUNCT
fuelectenerg-3144	606	28	information	information	NOUN
fuelectenerg-3144	606	29	is	be	AUX
fuelectenerg-3144	606	30	not	not	PART
fuelectenerg-3144	606	31	transmitted	transmit	VERB
fuelectenerg-3144	606	32	through	through	ADP
fuelectenerg-3144	606	33	physical	physical	ADJ
fuelectenerg-3144	606	34	wires	wire	NOUN
fuelectenerg-3144	606	35	from	from	ADP
fuelectenerg-3144	606	36	gate	gate	NOUN
fuelectenerg-3144	606	37	to	to	PART
fuelectenerg-3144	606	38	gate	gate	VERB
fuelectenerg-3144	606	39	.	.	PUNCT
fuelectenerg-3144	607	1	instead	instead	ADV
fuelectenerg-3144	607	2	,	,	PUNCT
fuelectenerg-3144	607	3	the	the	DET
fuelectenerg-3144	607	4	“	"	PUNCT
fuelectenerg-3144	607	5	wires	wire	NOUN
fuelectenerg-3144	607	6	”	"	PUNCT
fuelectenerg-3144	607	7	in	in	ADP
fuelectenerg-3144	607	8	a	a	DET
fuelectenerg-3144	607	9	quantum	quantum	ADJ
fuelectenerg-3144	607	10	circuit	circuit	NOUN
fuelectenerg-3144	607	11	represent	represent	VERB
fuelectenerg-3144	607	12	individual	individual	ADJ
fuelectenerg-3144	607	13	qubits	qubit	NOUN
fuelectenerg-3144	607	14	that	that	PRON
fuelectenerg-3144	607	15	are	be	AUX
fuelectenerg-3144	607	16	stored	store	VERB
fuelectenerg-3144	607	17	on	on	ADP
fuelectenerg-3144	607	18	some	some	DET
fuelectenerg-3144	607	19	physical	physical	ADJ
fuelectenerg-3144	607	20	medium	medium	NOUN
fuelectenerg-3144	607	21	,	,	PUNCT
fuelectenerg-3144	607	22	and	and	CCONJ
fuelectenerg-3144	607	23	the	the	DET
fuelectenerg-3144	607	24	gates	gate	NOUN
fuelectenerg-3144	607	25	are	be	AUX
fuelectenerg-3144	607	26	not	not	PART
fuelectenerg-3144	607	27	physical	physical	ADJ
fuelectenerg-3144	607	28	components	component	NOUN
fuelectenerg-3144	607	29	but	but	CCONJ
fuelectenerg-3144	607	30	rather	rather	ADV
fuelectenerg-3144	607	31	are	be	AUX
fuelectenerg-3144	607	32	manipulations	manipulation	NOUN
fuelectenerg-3144	607	33	performed	perform	VERB
fuelectenerg-3144	607	34	on	on	ADP
fuelectenerg-3144	607	35	the	the	DET
fuelectenerg-3144	607	36	physical	physical	ADJ
fuelectenerg-3144	607	37	medium	medium	NOUN
fuelectenerg-3144	607	38	using	use	VERB
fuelectenerg-3144	607	39	implementationdependent	implementationdependent	ADJ
fuelectenerg-3144	607	40	hardware	hardware	NOUN
fuelectenerg-3144	607	41	(	(	PUNCT
fuelectenerg-3144	607	42	e.g.	e.g.	ADV
fuelectenerg-3144	607	43	,	,	PUNCT
fuelectenerg-3144	607	44	lasers	laser	NOUN
fuelectenerg-3144	607	45	,	,	PUNCT
fuelectenerg-3144	607	46	electromagnets	electromagnet	NOUN
fuelectenerg-3144	607	47	,	,	PUNCT
fuelectenerg-3144	607	48	superconducting	superconducte	VERB
fuelectenerg-3144	607	49	circuits	circuit	NOUN
fuelectenerg-3144	607	50	)	)	PUNCT
fuelectenerg-3144	607	51	.	.	PUNCT
fuelectenerg-3144	608	1	this	this	PRON
fuelectenerg-3144	608	2	means	mean	VERB
fuelectenerg-3144	608	3	that	that	SCONJ
fuelectenerg-3144	608	4	a	a	DET
fuelectenerg-3144	608	5	quantum	quantum	ADJ
fuelectenerg-3144	608	6	“	"	PUNCT
fuelectenerg-3144	608	7	circuit	circuit	NOUN
fuelectenerg-3144	608	8	”	"	PUNCT
fuelectenerg-3144	608	9	is	be	AUX
fuelectenerg-3144	608	10	in	in	ADP
fuelectenerg-3144	608	11	fact	fact	NOUN
fuelectenerg-3144	608	12	a	a	DET
fuelectenerg-3144	608	13	sequence	sequence	NOUN
fuelectenerg-3144	608	14	of	of	ADP
fuelectenerg-3144	608	15	software	software	NOUN
fuelectenerg-3144	608	16	operations	operation	NOUN
fuelectenerg-3144	608	17	stored	store	VERB
fuelectenerg-3144	608	18	on	on	ADP
fuelectenerg-3144	608	19	a	a	DET
fuelectenerg-3144	608	20	classical	classical	ADJ
fuelectenerg-3144	608	21	computer	computer	NOUN
fuelectenerg-3144	608	22	that	that	PRON
fuelectenerg-3144	608	23	controls	control	VERB
fuelectenerg-3144	608	24	the	the	DET
fuelectenerg-3144	608	25	quantum	quantum	ADJ
fuelectenerg-3144	608	26	hardware	hardware	NOUN
fuelectenerg-3144	608	27	,	,	PUNCT
fuelectenerg-3144	608	28	and	and	CCONJ
fuelectenerg-3144	608	29	this	this	DET
fuelectenerg-3144	608	30	sequence	sequence	NOUN
fuelectenerg-3144	608	31	of	of	ADP
fuelectenerg-3144	608	32	operations	operation	NOUN
fuelectenerg-3144	608	33	can	can	AUX
fuelectenerg-3144	608	34	easily	easily	ADV
fuelectenerg-3144	608	35	be	be	AUX
fuelectenerg-3144	608	36	modified	modify	VERB
fuelectenerg-3144	608	37	at	at	ADP
fuelectenerg-3144	608	38	will	will	NOUN
fuelectenerg-3144	608	39	.	.	PUNCT
fuelectenerg-3144	609	1	17	17	NUM
fuelectenerg-3144	609	2	184	184	NUM
fuelectenerg-3144	609	3	e.	e.	PROPN
fuelectenerg-3144	609	4	tsai	tsai	PROPN
fuelectenerg-3144	609	5	,	,	PUNCT
fuelectenerg-3144	609	6	m.	m.	PROPN
fuelectenerg-3144	609	7	perkowski	perkowski	PROPN
fuelectenerg-3144	609	8	a	a	DET
fuelectenerg-3144	609	9	quantum	quantum	ADJ
fuelectenerg-3144	609	10	algorithm	algorithm	NOUN
fuelectenerg-3144	609	11	for	for	ADP
fuelectenerg-3144	609	12	automata	automata	NOUN
fuelectenerg-3144	609	13	encoding	encode	VERB
fuelectenerg-3144	609	14	185	185	NUM
fuelectenerg-3144	609	15	|1	|1	NUM
fuelectenerg-3144	610	1	〉	〉	NUM
fuelectenerg-3144	610	2	|1	|1	NUM
fuelectenerg-3144	610	3	〉	〉	PROPN
fuelectenerg-3144	610	4	|1	|1	NUM
fuelectenerg-3144	610	5	〉	〉	PROPN
fuelectenerg-3144	610	6	|1	|1	NUM
fuelectenerg-3144	610	7	〉	〉	NOUN
fuelectenerg-3144	610	8	x4	x4	PROPN
fuelectenerg-3144	610	9	x4	x4	PROPN
fuelectenerg-3144	610	10	x3	x3	PROPN
fuelectenerg-3144	611	1	x3	x3	PROPN
fuelectenerg-3144	611	2	x2	x2	INTJ
fuelectenerg-3144	612	1	x2	x2	INTJ
fuelectenerg-3144	612	2	x1	x1	NUM
fuelectenerg-3144	613	1	x1	x1	NUM
fuelectenerg-3144	613	2	y	y	PROPN
fuelectenerg-3144	613	3	y	y	PROPN
fuelectenerg-3144	613	4	⊕	⊕	PROPN
fuelectenerg-3144	613	5	(	(	PUNCT
fuelectenerg-3144	613	6	x1	x1	PROPN
fuelectenerg-3144	613	7	+	+	PROPN
fuelectenerg-3144	613	8	x2)(x3	x2)(x3	PROPN
fuelectenerg-3144	614	1	+	+	CCONJ
fuelectenerg-3144	614	2	x4	x4	ADJ
fuelectenerg-3144	614	3	)	)	PUNCT
fuelectenerg-3144	614	4	figure	figure	NOUN
fuelectenerg-3144	614	5	8	8	NUM
fuelectenerg-3144	614	6	:	:	PUNCT
fuelectenerg-3144	614	7	a	a	DET
fuelectenerg-3144	614	8	quantum	quantum	ADJ
fuelectenerg-3144	614	9	oracle	oracle	NOUN
fuelectenerg-3144	614	10	using	use	VERB
fuelectenerg-3144	614	11	ancilla	ancilla	NOUN
fuelectenerg-3144	614	12	qubits	qubit	NOUN
fuelectenerg-3144	614	13	.	.	PUNCT
fuelectenerg-3144	615	1	quantum	quantum	NOUN
fuelectenerg-3144	615	2	circuit	circuit	NOUN
fuelectenerg-3144	615	3	cost	cost	NOUN
fuelectenerg-3144	615	4	of	of	ADP
fuelectenerg-3144	615	5	such	such	DET
fuelectenerg-3144	615	6	an	an	DET
fuelectenerg-3144	615	7	oracle	oracle	NOUN
fuelectenerg-3144	615	8	would	would	AUX
fuelectenerg-3144	615	9	be	be	AUX
fuelectenerg-3144	615	10	higher	high	ADJ
fuelectenerg-3144	615	11	than	than	ADP
fuelectenerg-3144	615	12	the	the	DET
fuelectenerg-3144	615	13	cost	cost	NOUN
fuelectenerg-3144	615	14	of	of	ADP
fuelectenerg-3144	615	15	the	the	DET
fuelectenerg-3144	615	16	oracle	oracle	NOUN
fuelectenerg-3144	615	17	in	in	ADP
fuelectenerg-3144	615	18	figure	figure	NOUN
fuelectenerg-3144	615	19	8	8	NUM
fuelectenerg-3144	615	20	.	.	PUNCT
fuelectenerg-3144	616	1	in	in	ADP
fuelectenerg-3144	616	2	many	many	ADJ
fuelectenerg-3144	616	3	cases	case	NOUN
fuelectenerg-3144	616	4	,	,	PUNCT
fuelectenerg-3144	616	5	creating	create	VERB
fuelectenerg-3144	616	6	a	a	DET
fuelectenerg-3144	616	7	quantum	quantum	ADJ
fuelectenerg-3144	616	8	oracle	oracle	NOUN
fuelectenerg-3144	616	9	without	without	ADP
fuelectenerg-3144	616	10	using	use	VERB
fuelectenerg-3144	616	11	ancilla	ancilla	PROPN
fuelectenerg-3144	616	12	qubits	qubit	NOUN
fuelectenerg-3144	616	13	is	be	AUX
fuelectenerg-3144	616	14	in	in	ADP
fuelectenerg-3144	616	15	fact	fact	NOUN
fuelectenerg-3144	616	16	completely	completely	ADV
fuelectenerg-3144	616	17	impractical	impractical	ADJ
fuelectenerg-3144	616	18	.	.	PUNCT
fuelectenerg-3144	617	1	although	although	SCONJ
fuelectenerg-3144	617	2	the	the	DET
fuelectenerg-3144	617	3	judicious	judicious	ADJ
fuelectenerg-3144	617	4	employment	employment	NOUN
fuelectenerg-3144	617	5	of	of	ADP
fuelectenerg-3144	617	6	ancilla	ancilla	PROPN
fuelectenerg-3144	617	7	qubits	qubit	NOUN
fuelectenerg-3144	617	8	can	can	AUX
fuelectenerg-3144	617	9	greatly	greatly	ADV
fuelectenerg-3144	617	10	reduce	reduce	VERB
fuelectenerg-3144	617	11	quantum	quantum	NOUN
fuelectenerg-3144	617	12	circuit	circuit	NOUN
fuelectenerg-3144	617	13	costs	cost	NOUN
fuelectenerg-3144	617	14	,	,	PUNCT
fuelectenerg-3144	617	15	one	one	PRON
fuelectenerg-3144	617	16	must	must	AUX
fuelectenerg-3144	617	17	also	also	ADV
fuelectenerg-3144	617	18	keep	keep	VERB
fuelectenerg-3144	617	19	in	in	ADP
fuelectenerg-3144	617	20	mind	mind	NOUN
fuelectenerg-3144	617	21	that	that	SCONJ
fuelectenerg-3144	617	22	ancilla	ancilla	PROPN
fuelectenerg-3144	617	23	qubits	qubit	NOUN
fuelectenerg-3144	617	24	themselves	themselves	PRON
fuelectenerg-3144	617	25	are	be	AUX
fuelectenerg-3144	617	26	a	a	DET
fuelectenerg-3144	617	27	limited	limited	ADJ
fuelectenerg-3144	617	28	resource	resource	NOUN
fuelectenerg-3144	617	29	—	—	PUNCT
fuelectenerg-3144	617	30	in	in	ADP
fuelectenerg-3144	617	31	any	any	DET
fuelectenerg-3144	617	32	real	real	ADJ
fuelectenerg-3144	617	33	quantum	quantum	NOUN
fuelectenerg-3144	617	34	computer	computer	NOUN
fuelectenerg-3144	617	35	,	,	PUNCT
fuelectenerg-3144	617	36	only	only	ADV
fuelectenerg-3144	617	37	a	a	DET
fuelectenerg-3144	617	38	finite	finite	ADJ
fuelectenerg-3144	617	39	number	number	NOUN
fuelectenerg-3144	617	40	of	of	ADP
fuelectenerg-3144	617	41	qubits	qubit	NOUN
fuelectenerg-3144	617	42	will	will	AUX
fuelectenerg-3144	617	43	be	be	AUX
fuelectenerg-3144	617	44	available	available	ADJ
fuelectenerg-3144	617	45	.	.	PUNCT
fuelectenerg-3144	618	1	consequently	consequently	ADV
fuelectenerg-3144	618	2	,	,	PUNCT
fuelectenerg-3144	618	3	quantum	quantum	NOUN
fuelectenerg-3144	618	4	oracles	oracle	NOUN
fuelectenerg-3144	618	5	using	use	VERB
fuelectenerg-3144	618	6	excessive	excessive	ADJ
fuelectenerg-3144	618	7	quantities	quantity	NOUN
fuelectenerg-3144	618	8	of	of	ADP
fuelectenerg-3144	618	9	ancilla	ancilla	PROPN
fuelectenerg-3144	618	10	qubits	qubit	NOUN
fuelectenerg-3144	618	11	are	be	AUX
fuelectenerg-3144	618	12	unrealistic	unrealistic	ADJ
fuelectenerg-3144	618	13	in	in	ADP
fuelectenerg-3144	618	14	the	the	DET
fuelectenerg-3144	618	15	sense	sense	NOUN
fuelectenerg-3144	618	16	that	that	SCONJ
fuelectenerg-3144	618	17	no	no	DET
fuelectenerg-3144	618	18	quantum	quantum	ADJ
fuelectenerg-3144	618	19	computer	computer	NOUN
fuelectenerg-3144	618	20	will	will	AUX
fuelectenerg-3144	618	21	be	be	AUX
fuelectenerg-3144	618	22	able	able	ADJ
fuelectenerg-3144	618	23	to	to	PART
fuelectenerg-3144	618	24	execute	execute	VERB
fuelectenerg-3144	618	25	them	they	PRON
fuelectenerg-3144	618	26	.	.	PUNCT
fuelectenerg-3144	619	1	the	the	DET
fuelectenerg-3144	619	2	process	process	NOUN
fuelectenerg-3144	619	3	of	of	ADP
fuelectenerg-3144	619	4	designing	design	VERB
fuelectenerg-3144	619	5	a	a	DET
fuelectenerg-3144	619	6	quantum	quantum	ADJ
fuelectenerg-3144	619	7	oracle	oracle	NOUN
fuelectenerg-3144	619	8	(	(	PUNCT
fuelectenerg-3144	619	9	indeed	indeed	ADV
fuelectenerg-3144	619	10	,	,	PUNCT
fuelectenerg-3144	619	11	designing	design	VERB
fuelectenerg-3144	619	12	any	any	DET
fuelectenerg-3144	619	13	quantum	quantum	ADJ
fuelectenerg-3144	619	14	circuit	circuit	NOUN
fuelectenerg-3144	619	15	)	)	PUNCT
fuelectenerg-3144	619	16	nearly	nearly	ADV
fuelectenerg-3144	619	17	always	always	ADV
fuelectenerg-3144	619	18	involves	involve	VERB
fuelectenerg-3144	619	19	a	a	DET
fuelectenerg-3144	619	20	trade	trade	NOUN
fuelectenerg-3144	619	21	-	-	PUNCT
fuelectenerg-3144	619	22	off	off	NOUN
fuelectenerg-3144	619	23	between	between	ADP
fuelectenerg-3144	619	24	its	its	PRON
fuelectenerg-3144	619	25	quantum	quantum	NOUN
fuelectenerg-3144	619	26	cost	cost	NOUN
fuelectenerg-3144	619	27	and	and	CCONJ
fuelectenerg-3144	619	28	the	the	DET
fuelectenerg-3144	619	29	number	number	NOUN
fuelectenerg-3144	619	30	of	of	ADP
fuelectenerg-3144	619	31	ancilla	ancilla	PROPN
fuelectenerg-3144	619	32	qubits	qubit	NOUN
fuelectenerg-3144	619	33	it	it	PRON
fuelectenerg-3144	619	34	uses	use	VERB
fuelectenerg-3144	619	35	.	.	PUNCT
fuelectenerg-3144	620	1	3.2	3.2	NUM
fuelectenerg-3144	620	2	use	use	NOUN
fuelectenerg-3144	620	3	of	of	ADP
fuelectenerg-3144	620	4	grover	grover	NOUN
fuelectenerg-3144	620	5	’s	’s	PART
fuelectenerg-3144	620	6	algorithm	algorithm	NOUN
fuelectenerg-3144	620	7	to	to	PART
fuelectenerg-3144	620	8	solve	solve	VERB
fuelectenerg-3144	620	9	optimization	optimization	NOUN
fuelectenerg-3144	620	10	problems	problem	NOUN
fuelectenerg-3144	620	11	at	at	ADP
fuelectenerg-3144	620	12	this	this	DET
fuelectenerg-3144	620	13	point	point	NOUN
fuelectenerg-3144	620	14	,	,	PUNCT
fuelectenerg-3144	620	15	before	before	ADP
fuelectenerg-3144	620	16	turning	turn	VERB
fuelectenerg-3144	620	17	to	to	ADP
fuelectenerg-3144	620	18	the	the	DET
fuelectenerg-3144	620	19	design	design	NOUN
fuelectenerg-3144	620	20	of	of	ADP
fuelectenerg-3144	620	21	a	a	DET
fuelectenerg-3144	620	22	quantum	quantum	ADJ
fuelectenerg-3144	620	23	oracle	oracle	NOUN
fuelectenerg-3144	620	24	to	to	PART
fuelectenerg-3144	620	25	solve	solve	VERB
fuelectenerg-3144	620	26	the	the	DET
fuelectenerg-3144	620	27	state	state	NOUN
fuelectenerg-3144	620	28	encoding	encoding	NOUN
fuelectenerg-3144	620	29	problem	problem	NOUN
fuelectenerg-3144	620	30	,	,	PUNCT
fuelectenerg-3144	620	31	we	we	PRON
fuelectenerg-3144	620	32	first	first	ADV
fuelectenerg-3144	620	33	consider	consider	VERB
fuelectenerg-3144	620	34	an	an	DET
fuelectenerg-3144	620	35	interesting	interesting	ADJ
fuelectenerg-3144	620	36	issue	issue	NOUN
fuelectenerg-3144	620	37	regarding	regard	VERB
fuelectenerg-3144	620	38	the	the	DET
fuelectenerg-3144	620	39	usage	usage	NOUN
fuelectenerg-3144	620	40	of	of	ADP
fuelectenerg-3144	620	41	grover	grover	NOUN
fuelectenerg-3144	620	42	’s	’s	PART
fuelectenerg-3144	620	43	algorithm	algorithm	NOUN
fuelectenerg-3144	620	44	for	for	ADP
fuelectenerg-3144	620	45	this	this	DET
fuelectenerg-3144	620	46	problem	problem	NOUN
fuelectenerg-3144	620	47	,	,	PUNCT
fuelectenerg-3144	620	48	as	as	SCONJ
fuelectenerg-3144	620	49	it	it	PRON
fuelectenerg-3144	620	50	will	will	AUX
fuelectenerg-3144	620	51	affect	affect	VERB
fuelectenerg-3144	620	52	the	the	DET
fuelectenerg-3144	620	53	design	design	NOUN
fuelectenerg-3144	620	54	of	of	ADP
fuelectenerg-3144	620	55	the	the	DET
fuelectenerg-3144	620	56	quantum	quantum	ADJ
fuelectenerg-3144	620	57	oracle	oracle	NOUN
fuelectenerg-3144	620	58	.	.	PUNCT
fuelectenerg-3144	621	1	specifically	specifically	ADV
fuelectenerg-3144	621	2	,	,	PUNCT
fuelectenerg-3144	621	3	some	some	DET
fuelectenerg-3144	621	4	difficulty	difficulty	NOUN
fuelectenerg-3144	621	5	arises	arise	VERB
fuelectenerg-3144	621	6	from	from	ADP
fuelectenerg-3144	621	7	the	the	DET
fuelectenerg-3144	621	8	fact	fact	NOUN
fuelectenerg-3144	621	9	that	that	SCONJ
fuelectenerg-3144	621	10	,	,	PUNCT
fuelectenerg-3144	621	11	while	while	SCONJ
fuelectenerg-3144	621	12	state	state	NOUN
fuelectenerg-3144	621	13	encoding	encoding	NOUN
fuelectenerg-3144	621	14	cost	cost	NOUN
fuelectenerg-3144	621	15	minimization	minimization	NOUN
fuelectenerg-3144	621	16	is	be	AUX
fuelectenerg-3144	621	17	an	an	DET
fuelectenerg-3144	621	18	optimization	optimization	NOUN
fuelectenerg-3144	621	19	problem	problem	NOUN
fuelectenerg-3144	621	20	,	,	PUNCT
fuelectenerg-3144	621	21	grover	grover	PROPN
fuelectenerg-3144	621	22	’s	’s	PART
fuelectenerg-3144	621	23	algorithm	algorithm	NOUN
fuelectenerg-3144	621	24	directly	directly	ADV
fuelectenerg-3144	621	25	solves	solve	VERB
fuelectenerg-3144	621	26	only	only	ADV
fuelectenerg-3144	621	27	satisfaction	satisfaction	NOUN
fuelectenerg-3144	621	28	problems	problem	NOUN
fuelectenerg-3144	621	29	(	(	PUNCT
fuelectenerg-3144	621	30	a.k.a	a.k.a	INTJ
fuelectenerg-3144	621	31	.	.	PUNCT
fuelectenerg-3144	621	32	decision	decision	NOUN
fuelectenerg-3144	621	33	problems	problem	NOUN
fuelectenerg-3144	621	34	)	)	PUNCT
fuelectenerg-3144	621	35	.	.	PUNCT
fuelectenerg-3144	622	1	in	in	ADP
fuelectenerg-3144	622	2	other	other	ADJ
fuelectenerg-3144	622	3	words	word	NOUN
fuelectenerg-3144	622	4	,	,	PUNCT
fuelectenerg-3144	622	5	we	we	PRON
fuelectenerg-3144	622	6	wish	wish	VERB
fuelectenerg-3144	622	7	to	to	PART
fuelectenerg-3144	622	8	find	find	VERB
fuelectenerg-3144	622	9	the	the	DET
fuelectenerg-3144	622	10	minimum	minimum	ADJ
fuelectenerg-3144	622	11	value	value	NOUN
fuelectenerg-3144	622	12	of	of	ADP
fuelectenerg-3144	622	13	a	a	DET
fuelectenerg-3144	622	14	certain	certain	ADJ
fuelectenerg-3144	622	15	function	function	NOUN
fuelectenerg-3144	622	16	(	(	PUNCT
fuelectenerg-3144	622	17	the	the	DET
fuelectenerg-3144	622	18	cost	cost	NOUN
fuelectenerg-3144	622	19	function	function	NOUN
fuelectenerg-3144	622	20	)	)	PUNCT
fuelectenerg-3144	622	21	while	while	SCONJ
fuelectenerg-3144	622	22	grover	grover	PROPN
fuelectenerg-3144	622	23	’s	’s	PART
fuelectenerg-3144	622	24	algorithm	algorithm	NOUN
fuelectenerg-3144	622	25	can	can	AUX
fuelectenerg-3144	622	26	only	only	ADV
fuelectenerg-3144	622	27	find	find	VERB
fuelectenerg-3144	622	28	a	a	DET
fuelectenerg-3144	622	29	point	point	NOUN
fuelectenerg-3144	622	30	at	at	ADP
fuelectenerg-3144	622	31	which	which	PRON
fuelectenerg-3144	622	32	a	a	DET
fuelectenerg-3144	622	33	function	function	NOUN
fuelectenerg-3144	622	34	evaluates	evaluate	VERB
fuelectenerg-3144	622	35	to	to	ADP
fuelectenerg-3144	622	36	1	1	NUM
fuelectenerg-3144	622	37	.	.	PUNCT
fuelectenerg-3144	623	1	in	in	ADP
fuelectenerg-3144	623	2	order	order	NOUN
fuelectenerg-3144	623	3	to	to	PART
fuelectenerg-3144	623	4	use	use	VERB
fuelectenerg-3144	623	5	grover	grover	NOUN
fuelectenerg-3144	623	6	’s	’s	PART
fuelectenerg-3144	623	7	algorithm	algorithm	NOUN
fuelectenerg-3144	623	8	for	for	ADP
fuelectenerg-3144	623	9	optimization	optimization	NOUN
fuelectenerg-3144	623	10	,	,	PUNCT
fuelectenerg-3144	623	11	we	we	PRON
fuelectenerg-3144	623	12	reformulate	reformulate	VERB
fuelectenerg-3144	623	13	optimization	optimization	NOUN
fuelectenerg-3144	623	14	problems	problem	NOUN
fuelectenerg-3144	623	15	in	in	ADP
fuelectenerg-3144	623	16	terms	term	NOUN
fuelectenerg-3144	623	17	of	of	ADP
fuelectenerg-3144	623	18	a	a	DET
fuelectenerg-3144	623	19	sequence	sequence	NOUN
fuelectenerg-3144	623	20	of	of	ADP
fuelectenerg-3144	623	21	satisfaction	satisfaction	NOUN
fuelectenerg-3144	623	22	problems	problem	NOUN
fuelectenerg-3144	623	23	of	of	ADP
fuelectenerg-3144	623	24	the	the	DET
fuelectenerg-3144	623	25	form	form	NOUN
fuelectenerg-3144	623	26	:	:	PUNCT
fuelectenerg-3144	623	27	“	"	PUNCT
fuelectenerg-3144	623	28	find	find	VERB
fuelectenerg-3144	623	29	a	a	DET
fuelectenerg-3144	623	30	point	point	NOUN
fuelectenerg-3144	623	31	at	at	ADP
fuelectenerg-3144	623	32	which	which	PRON
fuelectenerg-3144	623	33	the	the	DET
fuelectenerg-3144	623	34	value	value	NOUN
fuelectenerg-3144	623	35	of	of	ADP
fuelectenerg-3144	623	36	the	the	DET
fuelectenerg-3144	623	37	function	function	NOUN
fuelectenerg-3144	623	38	f	f	PROPN
fuelectenerg-3144	623	39	is	be	AUX
fuelectenerg-3144	623	40	less	less	ADJ
fuelectenerg-3144	623	41	than	than	ADP
fuelectenerg-3144	623	42	r	r	NOUN
fuelectenerg-3144	623	43	”	"	PUNCT
fuelectenerg-3144	623	44	,	,	PUNCT
fuelectenerg-3144	623	45	where	where	SCONJ
fuelectenerg-3144	623	46	r	r	NOUN
fuelectenerg-3144	623	47	is	be	AUX
fuelectenerg-3144	623	48	an	an	DET
fuelectenerg-3144	623	49	arbitrary	arbitrary	ADJ
fuelectenerg-3144	623	50	threshold	threshold	NOUN
fuelectenerg-3144	623	51	.	.	PUNCT
fuelectenerg-3144	624	1	by	by	ADP
fuelectenerg-3144	624	2	executing	execute	VERB
fuelectenerg-3144	624	3	grover	grover	PROPN
fuelectenerg-3144	624	4	’s	’s	PART
fuelectenerg-3144	624	5	algorithm	algorithm	NOUN
fuelectenerg-3144	624	6	for	for	ADP
fuelectenerg-3144	624	7	different	different	ADJ
fuelectenerg-3144	624	8	values	value	NOUN
fuelectenerg-3144	624	9	of	of	ADP
fuelectenerg-3144	624	10	the	the	DET
fuelectenerg-3144	624	11	threshold	threshold	NOUN
fuelectenerg-3144	624	12	r	r	NOUN
fuelectenerg-3144	624	13	,	,	PUNCT
fuelectenerg-3144	624	14	one	one	PRON
fuelectenerg-3144	624	15	can	can	AUX
fuelectenerg-3144	624	16	conduct	conduct	VERB
fuelectenerg-3144	624	17	a	a	DET
fuelectenerg-3144	624	18	search	search	NOUN
fuelectenerg-3144	624	19	to	to	PART
fuelectenerg-3144	624	20	find	find	VERB
fuelectenerg-3144	624	21	the	the	DET
fuelectenerg-3144	624	22	minimum	minimum	ADJ
fuelectenerg-3144	624	23	value	value	NOUN
fuelectenerg-3144	624	24	of	of	ADP
fuelectenerg-3144	624	25	f	f	PROPN
fuelectenerg-3144	624	26	.	.	PUNCT
fuelectenerg-3144	625	1	for	for	ADP
fuelectenerg-3144	625	2	example	example	NOUN
fuelectenerg-3144	625	3	,	,	PUNCT
fuelectenerg-3144	625	4	such	such	DET
fuelectenerg-3144	625	5	a	a	DET
fuelectenerg-3144	625	6	search	search	NOUN
fuelectenerg-3144	625	7	might	might	AUX
fuelectenerg-3144	625	8	proceed	proceed	VERB
fuelectenerg-3144	625	9	according	accord	VERB
fuelectenerg-3144	625	10	to	to	ADP
fuelectenerg-3144	625	11	the	the	DET
fuelectenerg-3144	625	12	following	follow	VERB
fuelectenerg-3144	625	13	procedure	procedure	NOUN
fuelectenerg-3144	625	14	:	:	PUNCT
fuelectenerg-3144	625	15	1	1	X
fuelectenerg-3144	625	16	.	.	X
fuelectenerg-3144	625	17	choose	choose	VERB
fuelectenerg-3144	625	18	an	an	DET
fuelectenerg-3144	625	19	initial	initial	ADJ
fuelectenerg-3144	625	20	value	value	NOUN
fuelectenerg-3144	625	21	for	for	ADP
fuelectenerg-3144	625	22	the	the	DET
fuelectenerg-3144	625	23	threshold	threshold	NOUN
fuelectenerg-3144	625	24	a.	a.	NOUN
fuelectenerg-3144	625	25	ideally	ideally	ADV
fuelectenerg-3144	625	26	,	,	PUNCT
fuelectenerg-3144	625	27	this	this	DET
fuelectenerg-3144	625	28	initial	initial	ADJ
fuelectenerg-3144	625	29	value	value	NOUN
fuelectenerg-3144	625	30	should	should	AUX
fuelectenerg-3144	625	31	be	be	AUX
fuelectenerg-3144	625	32	close	close	ADJ
fuelectenerg-3144	625	33	to	to	ADP
fuelectenerg-3144	625	34	the	the	DET
fuelectenerg-3144	625	35	minimum	minimum	ADJ
fuelectenerg-3144	625	36	value	value	NOUN
fuelectenerg-3144	625	37	of	of	ADP
fuelectenerg-3144	625	38	f	f	PROPN
fuelectenerg-3144	625	39	,	,	PUNCT
fuelectenerg-3144	625	40	if	if	SCONJ
fuelectenerg-3144	625	41	an	an	DET
fuelectenerg-3144	625	42	estimate	estimate	NOUN
fuelectenerg-3144	625	43	of	of	ADP
fuelectenerg-3144	625	44	the	the	DET
fuelectenerg-3144	625	45	minimum	minimum	NOUN
fuelectenerg-3144	625	46	is	be	AUX
fuelectenerg-3144	625	47	available	available	ADJ
fuelectenerg-3144	625	48	;	;	PUNCT
fuelectenerg-3144	625	49	if	if	SCONJ
fuelectenerg-3144	625	50	not	not	PART
fuelectenerg-3144	625	51	,	,	PUNCT
fuelectenerg-3144	625	52	the	the	DET
fuelectenerg-3144	625	53	search	search	NOUN
fuelectenerg-3144	625	54	procedure	procedure	NOUN
fuelectenerg-3144	625	55	will	will	AUX
fuelectenerg-3144	625	56	still	still	ADV
fuelectenerg-3144	625	57	function	function	VERB
fuelectenerg-3144	625	58	correctly	correctly	ADV
fuelectenerg-3144	625	59	with	with	ADP
fuelectenerg-3144	625	60	any	any	DET
fuelectenerg-3144	625	61	initial	initial	ADJ
fuelectenerg-3144	625	62	value	value	NOUN
fuelectenerg-3144	625	63	.	.	PUNCT
fuelectenerg-3144	626	1	16	16	NUM
fuelectenerg-3144	626	2	2	2	NUM
fuelectenerg-3144	626	3	.	.	X
fuelectenerg-3144	626	4	execute	execute	VERB
fuelectenerg-3144	626	5	grover	grover	PROPN
fuelectenerg-3144	626	6	’s	’s	PART
fuelectenerg-3144	626	7	algorithm	algorithm	NOUN
fuelectenerg-3144	626	8	for	for	ADP
fuelectenerg-3144	626	9	the	the	DET
fuelectenerg-3144	626	10	chosen	choose	VERB
fuelectenerg-3144	626	11	threshold	threshold	NOUN
fuelectenerg-3144	626	12	as	as	SCONJ
fuelectenerg-3144	626	13	previously	previously	ADV
fuelectenerg-3144	626	14	described	describe	VERB
fuelectenerg-3144	626	15	.	.	PUNCT
fuelectenerg-3144	627	1	3	3	X
fuelectenerg-3144	627	2	.	.	X
fuelectenerg-3144	627	3	if	if	SCONJ
fuelectenerg-3144	627	4	grover	grover	PROPN
fuelectenerg-3144	627	5	’s	’s	PART
fuelectenerg-3144	627	6	algorithm	algorithm	PROPN
fuelectenerg-3144	627	7	finds	find	VERB
fuelectenerg-3144	627	8	a	a	DET
fuelectenerg-3144	627	9	solution	solution	NOUN
fuelectenerg-3144	627	10	,	,	PUNCT
fuelectenerg-3144	627	11	proceed	proceed	VERB
fuelectenerg-3144	627	12	to	to	PART
fuelectenerg-3144	627	13	step	step	VERB
fuelectenerg-3144	627	14	4	4	NUM
fuelectenerg-3144	627	15	.	.	PUNCT
fuelectenerg-3144	628	1	otherwise	otherwise	ADV
fuelectenerg-3144	628	2	,	,	PUNCT
fuelectenerg-3144	628	3	double	double	VERB
fuelectenerg-3144	628	4	the	the	DET
fuelectenerg-3144	628	5	threshold	threshold	NOUN
fuelectenerg-3144	628	6	a	a	PRON
fuelectenerg-3144	628	7	and	and	CCONJ
fuelectenerg-3144	628	8	repeat	repeat	VERB
fuelectenerg-3144	628	9	from	from	ADP
fuelectenerg-3144	628	10	step	step	NOUN
fuelectenerg-3144	628	11	2	2	NUM
fuelectenerg-3144	628	12	.	.	NOUN
fuelectenerg-3144	628	13	4	4	NUM
fuelectenerg-3144	628	14	.	.	X
fuelectenerg-3144	629	1	the	the	DET
fuelectenerg-3144	629	2	preceding	precede	VERB
fuelectenerg-3144	629	3	steps	step	NOUN
fuelectenerg-3144	629	4	give	give	VERB
fuelectenerg-3144	629	5	a	a	DET
fuelectenerg-3144	629	6	lower	low	ADJ
fuelectenerg-3144	629	7	and	and	CCONJ
fuelectenerg-3144	629	8	upper	upper	ADJ
fuelectenerg-3144	629	9	bound	bind	VERB
fuelectenerg-3144	629	10	for	for	ADP
fuelectenerg-3144	629	11	the	the	DET
fuelectenerg-3144	629	12	minimum	minimum	NOUN
fuelectenerg-3144	629	13	of	of	ADP
fuelectenerg-3144	629	14	f	f	PROPN
fuelectenerg-3144	629	15	.	.	PUNCT
fuelectenerg-3144	630	1	in	in	ADP
fuelectenerg-3144	630	2	other	other	ADJ
fuelectenerg-3144	630	3	words	word	NOUN
fuelectenerg-3144	630	4	,	,	PUNCT
fuelectenerg-3144	630	5	one	one	NOUN
fuelectenerg-3144	630	6	obtains	obtain	VERB
fuelectenerg-3144	630	7	threshold	threshold	NOUN
fuelectenerg-3144	630	8	values	value	NOUN
fuelectenerg-3144	630	9	amin	amin	PROPN
fuelectenerg-3144	630	10	and	and	CCONJ
fuelectenerg-3144	630	11	amax	amax	PROPN
fuelectenerg-3144	630	12	such	such	ADJ
fuelectenerg-3144	630	13	that	that	SCONJ
fuelectenerg-3144	630	14	the	the	DET
fuelectenerg-3144	630	15	function	function	NOUN
fuelectenerg-3144	630	16	f	f	PROPN
fuelectenerg-3144	630	17	never	never	ADV
fuelectenerg-3144	630	18	takes	take	VERB
fuelectenerg-3144	630	19	on	on	ADP
fuelectenerg-3144	630	20	any	any	DET
fuelectenerg-3144	630	21	value	value	NOUN
fuelectenerg-3144	630	22	less	less	ADJ
fuelectenerg-3144	630	23	than	than	ADP
fuelectenerg-3144	630	24	amin	amin	NOUN
fuelectenerg-3144	630	25	(	(	PUNCT
fuelectenerg-3144	630	26	as	as	SCONJ
fuelectenerg-3144	630	27	determined	determine	VERB
fuelectenerg-3144	630	28	using	use	VERB
fuelectenerg-3144	630	29	grover	grover	PROPN
fuelectenerg-3144	630	30	’s	’s	PART
fuelectenerg-3144	630	31	algorithm	algorithm	NOUN
fuelectenerg-3144	630	32	)	)	PUNCT
fuelectenerg-3144	630	33	but	but	CCONJ
fuelectenerg-3144	630	34	takes	take	VERB
fuelectenerg-3144	630	35	on	on	ADP
fuelectenerg-3144	630	36	a	a	DET
fuelectenerg-3144	630	37	value	value	NOUN
fuelectenerg-3144	630	38	less	less	ADJ
fuelectenerg-3144	630	39	than	than	ADP
fuelectenerg-3144	630	40	amax	amax	PROPN
fuelectenerg-3144	630	41	at	at	ADP
fuelectenerg-3144	630	42	one	one	NUM
fuelectenerg-3144	630	43	or	or	CCONJ
fuelectenerg-3144	630	44	more	more	ADJ
fuelectenerg-3144	630	45	points	point	NOUN
fuelectenerg-3144	630	46	.	.	PUNCT
fuelectenerg-3144	631	1	5	5	X
fuelectenerg-3144	631	2	.	.	X
fuelectenerg-3144	631	3	execute	execute	VERB
fuelectenerg-3144	631	4	grover	grover	PROPN
fuelectenerg-3144	631	5	’s	’s	PART
fuelectenerg-3144	631	6	algorithm	algorithm	NOUN
fuelectenerg-3144	631	7	for	for	ADP
fuelectenerg-3144	631	8	a	a	DET
fuelectenerg-3144	631	9	threshold	threshold	NOUN
fuelectenerg-3144	631	10	value	value	NOUN
fuelectenerg-3144	631	11	of	of	ADP
fuelectenerg-3144	631	12	(	(	PUNCT
fuelectenerg-3144	631	13	amin+amax)/2	amin+amax)/2	PROPN
fuelectenerg-3144	631	14	.	.	PROPN
fuelectenerg-3144	631	15	6	6	NUM
fuelectenerg-3144	631	16	.	.	PUNCT
fuelectenerg-3144	632	1	if	if	SCONJ
fuelectenerg-3144	632	2	grover	grover	PROPN
fuelectenerg-3144	632	3	’s	’s	PART
fuelectenerg-3144	632	4	algorithm	algorithm	PROPN
fuelectenerg-3144	632	5	finds	find	VERB
fuelectenerg-3144	632	6	a	a	DET
fuelectenerg-3144	632	7	solution	solution	NOUN
fuelectenerg-3144	632	8	,	,	PUNCT
fuelectenerg-3144	632	9	then	then	ADV
fuelectenerg-3144	632	10	(	(	PUNCT
fuelectenerg-3144	632	11	amin	amin	NOUN
fuelectenerg-3144	632	12	+	+	CCONJ
fuelectenerg-3144	632	13	amax)/2	amax)/2	NOUN
fuelectenerg-3144	632	14	gives	give	VERB
fuelectenerg-3144	632	15	a	a	DET
fuelectenerg-3144	632	16	new	new	ADJ
fuelectenerg-3144	632	17	upper	upper	ADJ
fuelectenerg-3144	632	18	bound	bind	VERB
fuelectenerg-3144	632	19	for	for	ADP
fuelectenerg-3144	632	20	the	the	DET
fuelectenerg-3144	632	21	minimum	minimum	NOUN
fuelectenerg-3144	632	22	of	of	ADP
fuelectenerg-3144	632	23	f	f	PROPN
fuelectenerg-3144	632	24	;	;	PUNCT
fuelectenerg-3144	632	25	otherwise	otherwise	ADV
fuelectenerg-3144	632	26	,	,	PUNCT
fuelectenerg-3144	632	27	it	it	PRON
fuelectenerg-3144	632	28	gives	give	VERB
fuelectenerg-3144	632	29	a	a	DET
fuelectenerg-3144	632	30	new	new	ADJ
fuelectenerg-3144	632	31	lower	lower	ADV
fuelectenerg-3144	632	32	bound	bind	VERB
fuelectenerg-3144	632	33	.	.	PUNCT
fuelectenerg-3144	633	1	repeat	repeat	VERB
fuelectenerg-3144	633	2	from	from	ADP
fuelectenerg-3144	633	3	step	step	NOUN
fuelectenerg-3144	633	4	4	4	NUM
fuelectenerg-3144	633	5	until	until	SCONJ
fuelectenerg-3144	633	6	the	the	DET
fuelectenerg-3144	633	7	minimum	minimum	ADJ
fuelectenerg-3144	633	8	value	value	NOUN
fuelectenerg-3144	633	9	of	of	ADP
fuelectenerg-3144	633	10	f	f	PROPN
fuelectenerg-3144	633	11	is	be	AUX
fuelectenerg-3144	633	12	determined	determine	VERB
fuelectenerg-3144	633	13	.	.	PUNCT
fuelectenerg-3144	634	1	the	the	DET
fuelectenerg-3144	634	2	final	final	ADJ
fuelectenerg-3144	634	3	output	output	NOUN
fuelectenerg-3144	634	4	of	of	ADP
fuelectenerg-3144	634	5	grover	grover	PROPN
fuelectenerg-3144	634	6	’s	’s	PART
fuelectenerg-3144	634	7	algorithm	algorithm	NOUN
fuelectenerg-3144	634	8	gives	give	VERB
fuelectenerg-3144	634	9	the	the	DET
fuelectenerg-3144	634	10	input	input	NOUN
fuelectenerg-3144	634	11	to	to	ADP
fuelectenerg-3144	634	12	f	f	PROPN
fuelectenerg-3144	634	13	at	at	ADP
fuelectenerg-3144	634	14	which	which	PRON
fuelectenerg-3144	634	15	the	the	DET
fuelectenerg-3144	634	16	minimum	minimum	NOUN
fuelectenerg-3144	634	17	occurs	occur	VERB
fuelectenerg-3144	634	18	.	.	PUNCT
fuelectenerg-3144	635	1	the	the	DET
fuelectenerg-3144	635	2	above	above	ADJ
fuelectenerg-3144	635	3	sequence	sequence	NOUN
fuelectenerg-3144	635	4	of	of	ADP
fuelectenerg-3144	635	5	steps	step	NOUN
fuelectenerg-3144	635	6	essentially	essentially	ADV
fuelectenerg-3144	635	7	describes	describe	VERB
fuelectenerg-3144	635	8	the	the	DET
fuelectenerg-3144	635	9	well	well	ADV
fuelectenerg-3144	635	10	-	-	PUNCT
fuelectenerg-3144	635	11	known	know	VERB
fuelectenerg-3144	635	12	binary	binary	NOUN
fuelectenerg-3144	635	13	search	search	NOUN
fuelectenerg-3144	635	14	strategy	strategy	NOUN
fuelectenerg-3144	635	15	.	.	PUNCT
fuelectenerg-3144	636	1	we	we	PRON
fuelectenerg-3144	636	2	give	give	VERB
fuelectenerg-3144	636	3	this	this	DET
fuelectenerg-3144	636	4	strategy	strategy	NOUN
fuelectenerg-3144	636	5	merely	merely	ADV
fuelectenerg-3144	636	6	as	as	ADP
fuelectenerg-3144	636	7	an	an	DET
fuelectenerg-3144	636	8	example	example	NOUN
fuelectenerg-3144	636	9	showing	show	VERB
fuelectenerg-3144	636	10	that	that	SCONJ
fuelectenerg-3144	636	11	such	such	DET
fuelectenerg-3144	636	12	a	a	DET
fuelectenerg-3144	636	13	search	search	NOUN
fuelectenerg-3144	636	14	is	be	AUX
fuelectenerg-3144	636	15	indeed	indeed	ADV
fuelectenerg-3144	636	16	possible	possible	ADJ
fuelectenerg-3144	636	17	.	.	PUNCT
fuelectenerg-3144	637	1	in	in	ADP
fuelectenerg-3144	637	2	particular	particular	ADJ
fuelectenerg-3144	637	3	,	,	PUNCT
fuelectenerg-3144	637	4	we	we	PRON
fuelectenerg-3144	637	5	do	do	AUX
fuelectenerg-3144	637	6	not	not	PART
fuelectenerg-3144	637	7	claim	claim	VERB
fuelectenerg-3144	637	8	that	that	SCONJ
fuelectenerg-3144	637	9	this	this	DET
fuelectenerg-3144	637	10	strategy	strategy	NOUN
fuelectenerg-3144	637	11	is	be	AUX
fuelectenerg-3144	637	12	optimal	optimal	ADJ
fuelectenerg-3144	637	13	with	with	ADP
fuelectenerg-3144	637	14	respect	respect	NOUN
fuelectenerg-3144	637	15	to	to	ADP
fuelectenerg-3144	637	16	expected	expect	VERB
fuelectenerg-3144	637	17	runtime	runtime	NOUN
fuelectenerg-3144	637	18	or	or	CCONJ
fuelectenerg-3144	637	19	any	any	DET
fuelectenerg-3144	637	20	other	other	ADJ
fuelectenerg-3144	637	21	measure	measure	NOUN
fuelectenerg-3144	637	22	.	.	PUNCT
fuelectenerg-3144	638	1	the	the	DET
fuelectenerg-3144	638	2	question	question	NOUN
fuelectenerg-3144	638	3	of	of	ADP
fuelectenerg-3144	638	4	evaluating	evaluate	VERB
fuelectenerg-3144	638	5	different	different	ADJ
fuelectenerg-3144	638	6	search	search	NOUN
fuelectenerg-3144	638	7	strategies	strategy	NOUN
fuelectenerg-3144	638	8	,	,	PUNCT
fuelectenerg-3144	638	9	as	as	ADV
fuelectenerg-3144	638	10	well	well	ADV
fuelectenerg-3144	638	11	as	as	ADP
fuelectenerg-3144	638	12	what	what	PRON
fuelectenerg-3144	638	13	standard	standard	NOUN
fuelectenerg-3144	638	14	should	should	AUX
fuelectenerg-3144	638	15	be	be	AUX
fuelectenerg-3144	638	16	used	use	VERB
fuelectenerg-3144	638	17	to	to	PART
fuelectenerg-3144	638	18	evaluate	evaluate	VERB
fuelectenerg-3144	638	19	them	they	PRON
fuelectenerg-3144	638	20	in	in	ADP
fuelectenerg-3144	638	21	the	the	DET
fuelectenerg-3144	638	22	first	first	ADJ
fuelectenerg-3144	638	23	place	place	NOUN
fuelectenerg-3144	638	24	,	,	PUNCT
fuelectenerg-3144	638	25	falls	fall	VERB
fuelectenerg-3144	638	26	outside	outside	ADP
fuelectenerg-3144	638	27	the	the	DET
fuelectenerg-3144	638	28	scope	scope	NOUN
fuelectenerg-3144	638	29	of	of	ADP
fuelectenerg-3144	638	30	this	this	DET
fuelectenerg-3144	638	31	paper	paper	NOUN
fuelectenerg-3144	638	32	.	.	PUNCT
fuelectenerg-3144	639	1	we	we	PRON
fuelectenerg-3144	639	2	leave	leave	VERB
fuelectenerg-3144	639	3	this	this	DET
fuelectenerg-3144	639	4	avenue	avenue	NOUN
fuelectenerg-3144	639	5	of	of	ADP
fuelectenerg-3144	639	6	exploration	exploration	NOUN
fuelectenerg-3144	639	7	open	open	ADJ
fuelectenerg-3144	639	8	for	for	ADP
fuelectenerg-3144	639	9	future	future	ADJ
fuelectenerg-3144	639	10	work	work	NOUN
fuelectenerg-3144	639	11	.	.	PUNCT
fuelectenerg-3144	640	1	we	we	PRON
fuelectenerg-3144	640	2	make	make	VERB
fuelectenerg-3144	640	3	the	the	DET
fuelectenerg-3144	640	4	crucial	crucial	ADJ
fuelectenerg-3144	640	5	observation	observation	NOUN
fuelectenerg-3144	640	6	that	that	SCONJ
fuelectenerg-3144	640	7	the	the	DET
fuelectenerg-3144	640	8	above	above	ADJ
fuelectenerg-3144	640	9	procedure	procedure	NOUN
fuelectenerg-3144	640	10	involves	involve	VERB
fuelectenerg-3144	640	11	executing	execute	VERB
fuelectenerg-3144	640	12	grover	grover	PROPN
fuelectenerg-3144	640	13	’s	’s	PART
fuelectenerg-3144	640	14	algorithm	algorithm	NOUN
fuelectenerg-3144	640	15	using	use	VERB
fuelectenerg-3144	640	16	not	not	PART
fuelectenerg-3144	640	17	a	a	DET
fuelectenerg-3144	640	18	single	single	ADJ
fuelectenerg-3144	640	19	,	,	PUNCT
fuelectenerg-3144	640	20	static	static	ADJ
fuelectenerg-3144	640	21	quantum	quantum	NOUN
fuelectenerg-3144	640	22	oracle	oracle	NOUN
fuelectenerg-3144	640	23	,	,	PUNCT
fuelectenerg-3144	640	24	but	but	CCONJ
fuelectenerg-3144	640	25	a	a	DET
fuelectenerg-3144	640	26	sequence	sequence	NOUN
fuelectenerg-3144	640	27	of	of	ADP
fuelectenerg-3144	640	28	quantum	quantum	ADJ
fuelectenerg-3144	640	29	oracles	oracle	NOUN
fuelectenerg-3144	640	30	that	that	PRON
fuelectenerg-3144	640	31	are	be	AUX
fuelectenerg-3144	640	32	dynamically	dynamically	ADV
fuelectenerg-3144	640	33	created	create	VERB
fuelectenerg-3144	640	34	on	on	ADP
fuelectenerg-3144	640	35	-	-	PUNCT
fuelectenerg-3144	640	36	thefly	thefly	NOUN
fuelectenerg-3144	640	37	for	for	ADP
fuelectenerg-3144	640	38	different	different	ADJ
fuelectenerg-3144	640	39	thresholds	threshold	NOUN
fuelectenerg-3144	640	40	.	.	PUNCT
fuelectenerg-3144	641	1	in	in	ADP
fuelectenerg-3144	641	2	particular	particular	ADJ
fuelectenerg-3144	641	3	,	,	PUNCT
fuelectenerg-3144	641	4	the	the	DET
fuelectenerg-3144	641	5	threshold	threshold	NOUN
fuelectenerg-3144	641	6	value	value	NOUN
fuelectenerg-3144	641	7	r	r	NOUN
fuelectenerg-3144	641	8	is	be	AUX
fuelectenerg-3144	641	9	not	not	PART
fuelectenerg-3144	641	10	itself	itself	PRON
fuelectenerg-3144	641	11	an	an	DET
fuelectenerg-3144	641	12	input	input	NOUN
fuelectenerg-3144	641	13	to	to	ADP
fuelectenerg-3144	641	14	the	the	DET
fuelectenerg-3144	641	15	oracle	oracle	NOUN
fuelectenerg-3144	641	16	,	,	PUNCT
fuelectenerg-3144	641	17	meaning	mean	VERB
fuelectenerg-3144	641	18	that	that	SCONJ
fuelectenerg-3144	641	19	grover	grover	PROPN
fuelectenerg-3144	641	20	’s	’s	PART
fuelectenerg-3144	641	21	algorithm	algorithm	NOUN
fuelectenerg-3144	641	22	does	do	AUX
fuelectenerg-3144	641	23	not	not	PART
fuelectenerg-3144	641	24	directly	directly	ADV
fuelectenerg-3144	641	25	search	search	VERB
fuelectenerg-3144	641	26	for	for	ADP
fuelectenerg-3144	641	27	the	the	DET
fuelectenerg-3144	641	28	threshold	threshold	NOUN
fuelectenerg-3144	641	29	.	.	PUNCT
fuelectenerg-3144	642	1	grover	grover	PROPN
fuelectenerg-3144	642	2	’s	’s	PART
fuelectenerg-3144	642	3	algorithm	algorithm	NOUN
fuelectenerg-3144	642	4	is	be	AUX
fuelectenerg-3144	642	5	in	in	ADP
fuelectenerg-3144	642	6	fact	fact	NOUN
fuelectenerg-3144	642	7	incapable	incapable	ADJ
fuelectenerg-3144	642	8	of	of	ADP
fuelectenerg-3144	642	9	directly	directly	ADV
fuelectenerg-3144	642	10	searching	search	VERB
fuelectenerg-3144	642	11	for	for	ADP
fuelectenerg-3144	642	12	the	the	DET
fuelectenerg-3144	642	13	threshold	threshold	NOUN
fuelectenerg-3144	642	14	since	since	SCONJ
fuelectenerg-3144	642	15	,	,	PUNCT
fuelectenerg-3144	642	16	as	as	SCONJ
fuelectenerg-3144	642	17	previously	previously	ADV
fuelectenerg-3144	642	18	discussed	discuss	VERB
fuelectenerg-3144	642	19	,	,	PUNCT
fuelectenerg-3144	642	20	that	that	PRON
fuelectenerg-3144	642	21	constitutes	constitute	VERB
fuelectenerg-3144	642	22	an	an	DET
fuelectenerg-3144	642	23	optimization	optimization	NOUN
fuelectenerg-3144	642	24	,	,	PUNCT
fuelectenerg-3144	642	25	not	not	PART
fuelectenerg-3144	642	26	satisfaction	satisfaction	NOUN
fuelectenerg-3144	642	27	,	,	PUNCT
fuelectenerg-3144	642	28	problem	problem	NOUN
fuelectenerg-3144	642	29	.	.	PUNCT
fuelectenerg-3144	643	1	instead	instead	ADV
fuelectenerg-3144	643	2	,	,	PUNCT
fuelectenerg-3144	643	3	the	the	DET
fuelectenerg-3144	643	4	threshold	threshold	NOUN
fuelectenerg-3144	643	5	value	value	NOUN
fuelectenerg-3144	643	6	is	be	AUX
fuelectenerg-3144	643	7	built	build	VERB
fuelectenerg-3144	643	8	into	into	ADP
fuelectenerg-3144	643	9	the	the	DET
fuelectenerg-3144	643	10	oracle	oracle	NOUN
fuelectenerg-3144	643	11	,	,	PUNCT
fuelectenerg-3144	643	12	meaning	mean	VERB
fuelectenerg-3144	643	13	that	that	SCONJ
fuelectenerg-3144	643	14	a	a	DET
fuelectenerg-3144	643	15	different	different	ADJ
fuelectenerg-3144	643	16	oracle	oracle	NOUN
fuelectenerg-3144	643	17	is	be	AUX
fuelectenerg-3144	643	18	created	create	VERB
fuelectenerg-3144	643	19	for	for	ADP
fuelectenerg-3144	643	20	each	each	DET
fuelectenerg-3144	643	21	threshold	threshold	NOUN
fuelectenerg-3144	643	22	value	value	NOUN
fuelectenerg-3144	643	23	.	.	PUNCT
fuelectenerg-3144	644	1	consequently	consequently	ADV
fuelectenerg-3144	644	2	,	,	PUNCT
fuelectenerg-3144	644	3	to	to	PART
fuelectenerg-3144	644	4	successfully	successfully	ADV
fuelectenerg-3144	644	5	use	use	VERB
fuelectenerg-3144	644	6	the	the	DET
fuelectenerg-3144	644	7	above	above	ADJ
fuelectenerg-3144	644	8	procedure	procedure	NOUN
fuelectenerg-3144	644	9	,	,	PUNCT
fuelectenerg-3144	644	10	one	one	PRON
fuelectenerg-3144	644	11	requires	require	VERB
fuelectenerg-3144	644	12	not	not	PART
fuelectenerg-3144	644	13	just	just	ADV
fuelectenerg-3144	644	14	a	a	DET
fuelectenerg-3144	644	15	single	single	ADJ
fuelectenerg-3144	644	16	quantum	quantum	NOUN
fuelectenerg-3144	644	17	oracle	oracle	NOUN
fuelectenerg-3144	644	18	but	but	CCONJ
fuelectenerg-3144	644	19	a	a	DET
fuelectenerg-3144	644	20	method	method	NOUN
fuelectenerg-3144	644	21	for	for	ADP
fuelectenerg-3144	644	22	generating	generate	VERB
fuelectenerg-3144	644	23	quantum	quantum	ADJ
fuelectenerg-3144	644	24	oracles	oracle	NOUN
fuelectenerg-3144	644	25	for	for	ADP
fuelectenerg-3144	644	26	arbitrary	arbitrary	ADJ
fuelectenerg-3144	644	27	threshold	threshold	NOUN
fuelectenerg-3144	644	28	values	value	NOUN
fuelectenerg-3144	644	29	.	.	PUNCT
fuelectenerg-3144	645	1	we	we	PRON
fuelectenerg-3144	645	2	additionally	additionally	ADV
fuelectenerg-3144	645	3	observe	observe	VERB
fuelectenerg-3144	645	4	that	that	SCONJ
fuelectenerg-3144	645	5	repeated	repeat	VERB
fuelectenerg-3144	645	6	execution	execution	NOUN
fuelectenerg-3144	645	7	of	of	ADP
fuelectenerg-3144	645	8	grover	grover	PROPN
fuelectenerg-3144	645	9	’s	’s	PART
fuelectenerg-3144	645	10	algorithm	algorithm	NOUN
fuelectenerg-3144	645	11	using	use	VERB
fuelectenerg-3144	645	12	a	a	DET
fuelectenerg-3144	645	13	sequence	sequence	NOUN
fuelectenerg-3144	645	14	of	of	ADP
fuelectenerg-3144	645	15	dynamically	dynamically	ADV
fuelectenerg-3144	645	16	generated	generate	VERB
fuelectenerg-3144	645	17	quantum	quantum	ADJ
fuelectenerg-3144	645	18	oracles	oracle	NOUN
fuelectenerg-3144	645	19	makes	make	VERB
fuelectenerg-3144	645	20	use	use	NOUN
fuelectenerg-3144	645	21	of	of	ADP
fuelectenerg-3144	645	22	the	the	DET
fuelectenerg-3144	645	23	freely	freely	ADV
fuelectenerg-3144	645	24	reconfigurable	reconfigurable	ADJ
fuelectenerg-3144	645	25	nature	nature	NOUN
fuelectenerg-3144	645	26	of	of	ADP
fuelectenerg-3144	645	27	quantum	quantum	ADJ
fuelectenerg-3144	645	28	circuits	circuit	NOUN
fuelectenerg-3144	645	29	.	.	PUNCT
fuelectenerg-3144	646	1	more	more	ADV
fuelectenerg-3144	646	2	specifically	specifically	ADV
fuelectenerg-3144	646	3	,	,	PUNCT
fuelectenerg-3144	646	4	a	a	DET
fuelectenerg-3144	646	5	quantum	quantum	NOUN
fuelectenerg-3144	646	6	circuit	circuit	NOUN
fuelectenerg-3144	646	7	is	be	AUX
fuelectenerg-3144	646	8	not	not	PART
fuelectenerg-3144	646	9	a	a	DET
fuelectenerg-3144	646	10	hardware	hardware	NOUN
fuelectenerg-3144	646	11	circuit	circuit	NOUN
fuelectenerg-3144	646	12	in	in	ADP
fuelectenerg-3144	646	13	the	the	DET
fuelectenerg-3144	646	14	same	same	ADJ
fuelectenerg-3144	646	15	sense	sense	NOUN
fuelectenerg-3144	646	16	as	as	ADP
fuelectenerg-3144	646	17	a	a	DET
fuelectenerg-3144	646	18	classical	classical	ADJ
fuelectenerg-3144	646	19	digital	digital	ADJ
fuelectenerg-3144	646	20	logic	logic	NOUN
fuelectenerg-3144	646	21	circuit	circuit	NOUN
fuelectenerg-3144	646	22	—	—	PUNCT
fuelectenerg-3144	646	23	in	in	ADP
fuelectenerg-3144	646	24	a	a	DET
fuelectenerg-3144	646	25	quantum	quantum	ADJ
fuelectenerg-3144	646	26	circuit	circuit	NOUN
fuelectenerg-3144	646	27	,	,	PUNCT
fuelectenerg-3144	646	28	information	information	NOUN
fuelectenerg-3144	646	29	is	be	AUX
fuelectenerg-3144	646	30	not	not	PART
fuelectenerg-3144	646	31	transmitted	transmit	VERB
fuelectenerg-3144	646	32	through	through	ADP
fuelectenerg-3144	646	33	physical	physical	ADJ
fuelectenerg-3144	646	34	wires	wire	NOUN
fuelectenerg-3144	646	35	from	from	ADP
fuelectenerg-3144	646	36	gate	gate	NOUN
fuelectenerg-3144	646	37	to	to	PART
fuelectenerg-3144	646	38	gate	gate	VERB
fuelectenerg-3144	646	39	.	.	PUNCT
fuelectenerg-3144	647	1	instead	instead	ADV
fuelectenerg-3144	647	2	,	,	PUNCT
fuelectenerg-3144	647	3	the	the	DET
fuelectenerg-3144	647	4	“	"	PUNCT
fuelectenerg-3144	647	5	wires	wire	NOUN
fuelectenerg-3144	647	6	”	"	PUNCT
fuelectenerg-3144	647	7	in	in	ADP
fuelectenerg-3144	647	8	a	a	DET
fuelectenerg-3144	647	9	quantum	quantum	ADJ
fuelectenerg-3144	647	10	circuit	circuit	NOUN
fuelectenerg-3144	647	11	represent	represent	VERB
fuelectenerg-3144	647	12	individual	individual	ADJ
fuelectenerg-3144	647	13	qubits	qubit	NOUN
fuelectenerg-3144	647	14	that	that	PRON
fuelectenerg-3144	647	15	are	be	AUX
fuelectenerg-3144	647	16	stored	store	VERB
fuelectenerg-3144	647	17	on	on	ADP
fuelectenerg-3144	647	18	some	some	DET
fuelectenerg-3144	647	19	physical	physical	ADJ
fuelectenerg-3144	647	20	medium	medium	NOUN
fuelectenerg-3144	647	21	,	,	PUNCT
fuelectenerg-3144	647	22	and	and	CCONJ
fuelectenerg-3144	647	23	the	the	DET
fuelectenerg-3144	647	24	gates	gate	NOUN
fuelectenerg-3144	647	25	are	be	AUX
fuelectenerg-3144	647	26	not	not	PART
fuelectenerg-3144	647	27	physical	physical	ADJ
fuelectenerg-3144	647	28	components	component	NOUN
fuelectenerg-3144	647	29	but	but	CCONJ
fuelectenerg-3144	647	30	rather	rather	ADV
fuelectenerg-3144	647	31	are	be	AUX
fuelectenerg-3144	647	32	manipulations	manipulation	NOUN
fuelectenerg-3144	647	33	performed	perform	VERB
fuelectenerg-3144	647	34	on	on	ADP
fuelectenerg-3144	647	35	the	the	DET
fuelectenerg-3144	647	36	physical	physical	ADJ
fuelectenerg-3144	647	37	medium	medium	NOUN
fuelectenerg-3144	647	38	using	use	VERB
fuelectenerg-3144	647	39	implementationdependent	implementationdependent	ADJ
fuelectenerg-3144	647	40	hardware	hardware	NOUN
fuelectenerg-3144	647	41	(	(	PUNCT
fuelectenerg-3144	647	42	e.g.	e.g.	ADV
fuelectenerg-3144	647	43	,	,	PUNCT
fuelectenerg-3144	647	44	lasers	laser	NOUN
fuelectenerg-3144	647	45	,	,	PUNCT
fuelectenerg-3144	647	46	electromagnets	electromagnet	NOUN
fuelectenerg-3144	647	47	,	,	PUNCT
fuelectenerg-3144	647	48	superconducting	superconducte	VERB
fuelectenerg-3144	647	49	circuits	circuit	NOUN
fuelectenerg-3144	647	50	)	)	PUNCT
fuelectenerg-3144	647	51	.	.	PUNCT
fuelectenerg-3144	648	1	this	this	PRON
fuelectenerg-3144	648	2	means	mean	VERB
fuelectenerg-3144	648	3	that	that	SCONJ
fuelectenerg-3144	648	4	a	a	DET
fuelectenerg-3144	648	5	quantum	quantum	ADJ
fuelectenerg-3144	648	6	“	"	PUNCT
fuelectenerg-3144	648	7	circuit	circuit	NOUN
fuelectenerg-3144	648	8	”	"	PUNCT
fuelectenerg-3144	648	9	is	be	AUX
fuelectenerg-3144	648	10	in	in	ADP
fuelectenerg-3144	648	11	fact	fact	NOUN
fuelectenerg-3144	648	12	a	a	DET
fuelectenerg-3144	648	13	sequence	sequence	NOUN
fuelectenerg-3144	648	14	of	of	ADP
fuelectenerg-3144	648	15	software	software	NOUN
fuelectenerg-3144	648	16	operations	operation	NOUN
fuelectenerg-3144	648	17	stored	store	VERB
fuelectenerg-3144	648	18	on	on	ADP
fuelectenerg-3144	648	19	a	a	DET
fuelectenerg-3144	648	20	classical	classical	ADJ
fuelectenerg-3144	648	21	computer	computer	NOUN
fuelectenerg-3144	648	22	that	that	PRON
fuelectenerg-3144	648	23	controls	control	VERB
fuelectenerg-3144	648	24	the	the	DET
fuelectenerg-3144	648	25	quantum	quantum	ADJ
fuelectenerg-3144	648	26	hardware	hardware	NOUN
fuelectenerg-3144	648	27	,	,	PUNCT
fuelectenerg-3144	648	28	and	and	CCONJ
fuelectenerg-3144	648	29	this	this	DET
fuelectenerg-3144	648	30	sequence	sequence	NOUN
fuelectenerg-3144	648	31	of	of	ADP
fuelectenerg-3144	648	32	operations	operation	NOUN
fuelectenerg-3144	648	33	can	can	AUX
fuelectenerg-3144	648	34	easily	easily	ADV
fuelectenerg-3144	648	35	be	be	AUX
fuelectenerg-3144	648	36	modified	modify	VERB
fuelectenerg-3144	648	37	at	at	ADP
fuelectenerg-3144	648	38	will	will	NOUN
fuelectenerg-3144	648	39	.	.	PUNCT
fuelectenerg-3144	649	1	17	17	NUM
fuelectenerg-3144	649	2	184	184	NUM
fuelectenerg-3144	649	3	e.	e.	PROPN
fuelectenerg-3144	649	4	tsai	tsai	PROPN
fuelectenerg-3144	649	5	,	,	PUNCT
fuelectenerg-3144	649	6	m.	m.	PROPN
fuelectenerg-3144	649	7	perkowski	perkowski	PROPN
fuelectenerg-3144	649	8	a	a	DET
fuelectenerg-3144	649	9	quantum	quantum	ADJ
fuelectenerg-3144	649	10	algorithm	algorithm	NOUN
fuelectenerg-3144	649	11	for	for	ADP
fuelectenerg-3144	649	12	automata	automata	NOUN
fuelectenerg-3144	649	13	encoding	encode	VERB
fuelectenerg-3144	649	14	185	185	NUM
fuelectenerg-3144	649	15	thus	thus	ADV
fuelectenerg-3144	649	16	,	,	PUNCT
fuelectenerg-3144	649	17	executing	execute	VERB
fuelectenerg-3144	649	18	grover	grover	PROPN
fuelectenerg-3144	649	19	’s	’s	PART
fuelectenerg-3144	649	20	algorithm	algorithm	NOUN
fuelectenerg-3144	649	21	using	use	VERB
fuelectenerg-3144	649	22	a	a	DET
fuelectenerg-3144	649	23	newly	newly	ADV
fuelectenerg-3144	649	24	-	-	PUNCT
fuelectenerg-3144	649	25	generated	generate	VERB
fuelectenerg-3144	649	26	quantum	quantum	ADJ
fuelectenerg-3144	649	27	oracle	oracle	NOUN
fuelectenerg-3144	649	28	simply	simply	ADV
fuelectenerg-3144	649	29	involves	involve	VERB
fuelectenerg-3144	649	30	having	have	VERB
fuelectenerg-3144	649	31	the	the	DET
fuelectenerg-3144	649	32	classical	classical	ADJ
fuelectenerg-3144	649	33	computer	computer	NOUN
fuelectenerg-3144	649	34	perform	perform	VERB
fuelectenerg-3144	649	35	the	the	DET
fuelectenerg-3144	649	36	appropriate	appropriate	ADJ
fuelectenerg-3144	649	37	,	,	PUNCT
fuelectenerg-3144	649	38	newly	newly	ADV
fuelectenerg-3144	649	39	-	-	PUNCT
fuelectenerg-3144	649	40	generated	generate	VERB
fuelectenerg-3144	649	41	sequence	sequence	NOUN
fuelectenerg-3144	649	42	of	of	ADP
fuelectenerg-3144	649	43	operations	operation	NOUN
fuelectenerg-3144	649	44	on	on	ADP
fuelectenerg-3144	649	45	the	the	DET
fuelectenerg-3144	649	46	quantum	quantum	ADJ
fuelectenerg-3144	649	47	hardware	hardware	NOUN
fuelectenerg-3144	649	48	.	.	PUNCT
fuelectenerg-3144	650	1	based	base	VERB
fuelectenerg-3144	650	2	on	on	ADP
fuelectenerg-3144	650	3	the	the	DET
fuelectenerg-3144	650	4	preceding	precede	VERB
fuelectenerg-3144	650	5	observations	observation	NOUN
fuelectenerg-3144	650	6	,	,	PUNCT
fuelectenerg-3144	650	7	we	we	PRON
fuelectenerg-3144	650	8	introduce	introduce	VERB
fuelectenerg-3144	650	9	a	a	DET
fuelectenerg-3144	650	10	distinction	distinction	NOUN
fuelectenerg-3144	650	11	between	between	ADP
fuelectenerg-3144	650	12	compile	compile	NOUN
fuelectenerg-3144	650	13	time	time	NOUN
fuelectenerg-3144	650	14	and	and	CCONJ
fuelectenerg-3144	650	15	run	run	VERB
fuelectenerg-3144	650	16	time	time	NOUN
fuelectenerg-3144	650	17	for	for	ADP
fuelectenerg-3144	650	18	quantum	quantum	ADJ
fuelectenerg-3144	650	19	circuits	circuit	NOUN
fuelectenerg-3144	650	20	.	.	PUNCT
fuelectenerg-3144	651	1	in	in	ADP
fuelectenerg-3144	651	2	classical	classical	ADJ
fuelectenerg-3144	651	3	computing	computing	NOUN
fuelectenerg-3144	651	4	,	,	PUNCT
fuelectenerg-3144	651	5	compile	compile	NOUN
fuelectenerg-3144	651	6	time	time	NOUN
fuelectenerg-3144	651	7	is	be	AUX
fuelectenerg-3144	651	8	the	the	DET
fuelectenerg-3144	651	9	time	time	NOUN
fuelectenerg-3144	651	10	at	at	ADP
fuelectenerg-3144	651	11	which	which	PRON
fuelectenerg-3144	651	12	instructions	instruction	NOUN
fuelectenerg-3144	651	13	for	for	ADP
fuelectenerg-3144	651	14	the	the	DET
fuelectenerg-3144	651	15	computer	computer	NOUN
fuelectenerg-3144	651	16	are	be	AUX
fuelectenerg-3144	651	17	generated	generate	VERB
fuelectenerg-3144	651	18	,	,	PUNCT
fuelectenerg-3144	651	19	while	while	SCONJ
fuelectenerg-3144	651	20	run	run	NOUN
fuelectenerg-3144	651	21	time	time	NOUN
fuelectenerg-3144	651	22	is	be	AUX
fuelectenerg-3144	651	23	the	the	DET
fuelectenerg-3144	651	24	time	time	NOUN
fuelectenerg-3144	651	25	at	at	ADP
fuelectenerg-3144	651	26	which	which	PRON
fuelectenerg-3144	651	27	those	those	DET
fuelectenerg-3144	651	28	instructions	instruction	NOUN
fuelectenerg-3144	651	29	are	be	AUX
fuelectenerg-3144	651	30	actually	actually	ADV
fuelectenerg-3144	651	31	executed	execute	VERB
fuelectenerg-3144	651	32	.	.	PUNCT
fuelectenerg-3144	652	1	by	by	ADP
fuelectenerg-3144	652	2	analogy	analogy	NOUN
fuelectenerg-3144	652	3	,	,	PUNCT
fuelectenerg-3144	652	4	compile	compile	NOUN
fuelectenerg-3144	652	5	time	time	NOUN
fuelectenerg-3144	652	6	of	of	ADP
fuelectenerg-3144	652	7	a	a	DET
fuelectenerg-3144	652	8	quantum	quantum	ADJ
fuelectenerg-3144	652	9	circuit	circuit	NOUN
fuelectenerg-3144	652	10	will	will	AUX
fuelectenerg-3144	652	11	refer	refer	VERB
fuelectenerg-3144	652	12	to	to	ADP
fuelectenerg-3144	652	13	the	the	DET
fuelectenerg-3144	652	14	generation	generation	NOUN
fuelectenerg-3144	652	15	process	process	NOUN
fuelectenerg-3144	652	16	of	of	ADP
fuelectenerg-3144	652	17	the	the	DET
fuelectenerg-3144	652	18	quantum	quantum	ADJ
fuelectenerg-3144	652	19	circuit	circuit	NOUN
fuelectenerg-3144	652	20	(	(	PUNCT
fuelectenerg-3144	652	21	which	which	PRON
fuelectenerg-3144	652	22	,	,	PUNCT
fuelectenerg-3144	652	23	as	as	SCONJ
fuelectenerg-3144	652	24	previously	previously	ADV
fuelectenerg-3144	652	25	noted	note	VERB
fuelectenerg-3144	652	26	,	,	PUNCT
fuelectenerg-3144	652	27	takes	take	VERB
fuelectenerg-3144	652	28	place	place	NOUN
fuelectenerg-3144	652	29	on	on	ADP
fuelectenerg-3144	652	30	a	a	DET
fuelectenerg-3144	652	31	classical	classical	ADJ
fuelectenerg-3144	652	32	computer	computer	NOUN
fuelectenerg-3144	652	33	)	)	PUNCT
fuelectenerg-3144	652	34	.	.	PUNCT
fuelectenerg-3144	653	1	run	run	VERB
fuelectenerg-3144	653	2	time	time	NOUN
fuelectenerg-3144	653	3	of	of	ADP
fuelectenerg-3144	653	4	a	a	DET
fuelectenerg-3144	653	5	quantum	quantum	ADJ
fuelectenerg-3144	653	6	circuit	circuit	NOUN
fuelectenerg-3144	653	7	,	,	PUNCT
fuelectenerg-3144	653	8	in	in	ADP
fuelectenerg-3144	653	9	contrast	contrast	NOUN
fuelectenerg-3144	653	10	,	,	PUNCT
fuelectenerg-3144	653	11	will	will	AUX
fuelectenerg-3144	653	12	refer	refer	VERB
fuelectenerg-3144	653	13	to	to	ADP
fuelectenerg-3144	653	14	the	the	DET
fuelectenerg-3144	653	15	process	process	NOUN
fuelectenerg-3144	653	16	of	of	ADP
fuelectenerg-3144	653	17	actually	actually	ADV
fuelectenerg-3144	653	18	executing	execute	VERB
fuelectenerg-3144	653	19	the	the	DET
fuelectenerg-3144	653	20	quantum	quantum	ADJ
fuelectenerg-3144	653	21	circuit	circuit	NOUN
fuelectenerg-3144	653	22	on	on	ADP
fuelectenerg-3144	653	23	quantum	quantum	ADJ
fuelectenerg-3144	653	24	hardware	hardware	NOUN
fuelectenerg-3144	653	25	(	(	PUNCT
fuelectenerg-3144	653	26	which	which	PRON
fuelectenerg-3144	653	27	,	,	PUNCT
fuelectenerg-3144	653	28	as	as	SCONJ
fuelectenerg-3144	653	29	also	also	ADV
fuelectenerg-3144	653	30	noted	note	VERB
fuelectenerg-3144	653	31	,	,	PUNCT
fuelectenerg-3144	653	32	involves	involve	VERB
fuelectenerg-3144	653	33	a	a	DET
fuelectenerg-3144	653	34	classical	classical	ADJ
fuelectenerg-3144	653	35	computer	computer	NOUN
fuelectenerg-3144	653	36	controlling	control	VERB
fuelectenerg-3144	653	37	the	the	DET
fuelectenerg-3144	653	38	quantum	quantum	ADJ
fuelectenerg-3144	653	39	hardware	hardware	NOUN
fuelectenerg-3144	653	40	with	with	ADP
fuelectenerg-3144	653	41	an	an	DET
fuelectenerg-3144	653	42	appropriate	appropriate	ADJ
fuelectenerg-3144	653	43	sequence	sequence	NOUN
fuelectenerg-3144	653	44	of	of	ADP
fuelectenerg-3144	653	45	commands	command	NOUN
fuelectenerg-3144	653	46	)	)	PUNCT
fuelectenerg-3144	653	47	.	.	PUNCT
fuelectenerg-3144	654	1	therefore	therefore	ADV
fuelectenerg-3144	654	2	,	,	PUNCT
fuelectenerg-3144	654	3	our	our	PRON
fuelectenerg-3144	654	4	objective	objective	NOUN
fuelectenerg-3144	654	5	in	in	ADP
fuelectenerg-3144	654	6	the	the	DET
fuelectenerg-3144	654	7	subsequent	subsequent	ADJ
fuelectenerg-3144	654	8	sections	section	NOUN
fuelectenerg-3144	654	9	of	of	ADP
fuelectenerg-3144	654	10	this	this	DET
fuelectenerg-3144	654	11	paper	paper	NOUN
fuelectenerg-3144	654	12	becomes	become	VERB
fuelectenerg-3144	654	13	:	:	PUNCT
fuelectenerg-3144	654	14	given	give	VERB
fuelectenerg-3144	654	15	an	an	DET
fuelectenerg-3144	654	16	fsm	fsm	PROPN
fuelectenerg-3144	654	17	specification	specification	NOUN
fuelectenerg-3144	654	18	,	,	PUNCT
fuelectenerg-3144	654	19	demonstrate	demonstrate	VERB
fuelectenerg-3144	654	20	a	a	DET
fuelectenerg-3144	654	21	procedure	procedure	NOUN
fuelectenerg-3144	654	22	that	that	PRON
fuelectenerg-3144	654	23	can	can	AUX
fuelectenerg-3144	654	24	generate	generate	VERB
fuelectenerg-3144	654	25	a	a	DET
fuelectenerg-3144	654	26	quantum	quantum	ADJ
fuelectenerg-3144	654	27	oracle	oracle	NOUN
fuelectenerg-3144	654	28	for	for	ADP
fuelectenerg-3144	654	29	an	an	DET
fuelectenerg-3144	654	30	arbitrary	arbitrary	ADJ
fuelectenerg-3144	654	31	threshold	threshold	NOUN
fuelectenerg-3144	654	32	value	value	NOUN
fuelectenerg-3144	654	33	r	r	NOUN
fuelectenerg-3144	654	34	,	,	PUNCT
fuelectenerg-3144	654	35	where	where	SCONJ
fuelectenerg-3144	654	36	the	the	DET
fuelectenerg-3144	654	37	quantum	quantum	ADJ
fuelectenerg-3144	654	38	oracle	oracle	NOUN
fuelectenerg-3144	654	39	accepts	accept	VERB
fuelectenerg-3144	654	40	as	as	ADP
fuelectenerg-3144	654	41	input	input	NOUN
fuelectenerg-3144	654	42	an	an	DET
fuelectenerg-3144	654	43	encoding	encoding	NOUN
fuelectenerg-3144	654	44	for	for	ADP
fuelectenerg-3144	654	45	the	the	DET
fuelectenerg-3144	654	46	fsm	fsm	PROPN
fuelectenerg-3144	654	47	and	and	CCONJ
fuelectenerg-3144	654	48	answers	answer	VERB
fuelectenerg-3144	654	49	the	the	DET
fuelectenerg-3144	654	50	question	question	NOUN
fuelectenerg-3144	654	51	“	"	PUNCT
fuelectenerg-3144	654	52	is	be	AUX
fuelectenerg-3144	654	53	the	the	DET
fuelectenerg-3144	654	54	cost	cost	NOUN
fuelectenerg-3144	654	55	of	of	ADP
fuelectenerg-3144	654	56	the	the	DET
fuelectenerg-3144	654	57	encoding	encoding	NOUN
fuelectenerg-3144	654	58	(	(	PUNCT
fuelectenerg-3144	654	59	as	as	SCONJ
fuelectenerg-3144	654	60	defined	define	VERB
fuelectenerg-3144	654	61	in	in	ADP
fuelectenerg-3144	654	62	section	section	NOUN
fuelectenerg-3144	654	63	2.2	2.2	NUM
fuelectenerg-3144	654	64	)	)	PUNCT
fuelectenerg-3144	654	65	less	less	ADJ
fuelectenerg-3144	654	66	than	than	ADP
fuelectenerg-3144	654	67	r	r	NOUN
fuelectenerg-3144	654	68	?	?	PUNCT
fuelectenerg-3144	654	69	”	"	PUNCT
fuelectenerg-3144	654	70	the	the	DET
fuelectenerg-3144	654	71	process	process	NOUN
fuelectenerg-3144	654	72	described	describe	VERB
fuelectenerg-3144	654	73	in	in	ADP
fuelectenerg-3144	654	74	this	this	DET
fuelectenerg-3144	654	75	section	section	NOUN
fuelectenerg-3144	654	76	then	then	ADV
fuelectenerg-3144	654	77	constitutes	constitute	VERB
fuelectenerg-3144	654	78	a	a	DET
fuelectenerg-3144	654	79	complete	complete	ADJ
fuelectenerg-3144	654	80	algorithm	algorithm	NOUN
fuelectenerg-3144	654	81	for	for	ADP
fuelectenerg-3144	654	82	finding	find	VERB
fuelectenerg-3144	654	83	an	an	DET
fuelectenerg-3144	654	84	encoding	encoding	NOUN
fuelectenerg-3144	654	85	for	for	ADP
fuelectenerg-3144	654	86	the	the	DET
fuelectenerg-3144	654	87	given	give	VERB
fuelectenerg-3144	654	88	fsm	fsm	PROPN
fuelectenerg-3144	654	89	with	with	ADP
fuelectenerg-3144	654	90	exact	exact	ADJ
fuelectenerg-3144	654	91	minimum	minimum	ADJ
fuelectenerg-3144	654	92	cost	cost	NOUN
fuelectenerg-3144	654	93	.	.	PUNCT
fuelectenerg-3144	655	1	4	4	NUM
fuelectenerg-3144	655	2	procedure	procedure	NOUN
fuelectenerg-3144	655	3	to	to	PART
fuelectenerg-3144	655	4	calculate	calculate	VERB
fuelectenerg-3144	655	5	the	the	DET
fuelectenerg-3144	655	6	cost	cost	NOUN
fuelectenerg-3144	655	7	of	of	ADP
fuelectenerg-3144	655	8	a	a	DET
fuelectenerg-3144	655	9	given	give	VERB
fuelectenerg-3144	655	10	encoding	encode	VERB
fuelectenerg-3144	655	11	4.1	4.1	NUM
fuelectenerg-3144	655	12	computing	computing	NOUN
fuelectenerg-3144	655	13	cost	cost	NOUN
fuelectenerg-3144	655	14	by	by	ADP
fuelectenerg-3144	655	15	considering	consider	VERB
fuelectenerg-3144	655	16	pairs	pair	NOUN
fuelectenerg-3144	655	17	of	of	ADP
fuelectenerg-3144	655	18	states	state	NOUN
fuelectenerg-3144	655	19	we	we	PRON
fuelectenerg-3144	655	20	now	now	ADV
fuelectenerg-3144	655	21	consider	consider	VERB
fuelectenerg-3144	655	22	a	a	DET
fuelectenerg-3144	655	23	systematic	systematic	ADJ
fuelectenerg-3144	655	24	procedure	procedure	NOUN
fuelectenerg-3144	655	25	for	for	ADP
fuelectenerg-3144	655	26	computing	compute	VERB
fuelectenerg-3144	655	27	the	the	DET
fuelectenerg-3144	655	28	cost	cost	NOUN
fuelectenerg-3144	655	29	,	,	PUNCT
fuelectenerg-3144	655	30	as	as	SCONJ
fuelectenerg-3144	655	31	defined	define	VERB
fuelectenerg-3144	655	32	in	in	ADP
fuelectenerg-3144	655	33	section	section	NOUN
fuelectenerg-3144	655	34	2.2	2.2	NUM
fuelectenerg-3144	655	35	,	,	PUNCT
fuelectenerg-3144	655	36	of	of	ADP
fuelectenerg-3144	655	37	a	a	DET
fuelectenerg-3144	655	38	given	give	VERB
fuelectenerg-3144	655	39	encoding	encoding	NOUN
fuelectenerg-3144	655	40	for	for	ADP
fuelectenerg-3144	655	41	a	a	DET
fuelectenerg-3144	655	42	given	give	VERB
fuelectenerg-3144	655	43	fsm	fsm	PROPN
fuelectenerg-3144	655	44	.	.	PUNCT
fuelectenerg-3144	656	1	this	this	DET
fuelectenerg-3144	656	2	procedure	procedure	NOUN
fuelectenerg-3144	656	3	will	will	AUX
fuelectenerg-3144	656	4	form	form	VERB
fuelectenerg-3144	656	5	the	the	DET
fuelectenerg-3144	656	6	basis	basis	NOUN
fuelectenerg-3144	656	7	for	for	ADP
fuelectenerg-3144	656	8	the	the	DET
fuelectenerg-3144	656	9	design	design	NOUN
fuelectenerg-3144	656	10	of	of	ADP
fuelectenerg-3144	656	11	a	a	DET
fuelectenerg-3144	656	12	quantum	quantum	ADJ
fuelectenerg-3144	656	13	oracle	oracle	NOUN
fuelectenerg-3144	656	14	that	that	PRON
fuelectenerg-3144	656	15	determines	determine	VERB
fuelectenerg-3144	656	16	whether	whether	SCONJ
fuelectenerg-3144	656	17	the	the	DET
fuelectenerg-3144	656	18	cost	cost	NOUN
fuelectenerg-3144	656	19	of	of	ADP
fuelectenerg-3144	656	20	a	a	DET
fuelectenerg-3144	656	21	given	give	VERB
fuelectenerg-3144	656	22	encoding	encoding	NOUN
fuelectenerg-3144	656	23	is	be	AUX
fuelectenerg-3144	656	24	less	less	ADJ
fuelectenerg-3144	656	25	than	than	ADP
fuelectenerg-3144	656	26	a	a	DET
fuelectenerg-3144	656	27	predetermined	predetermine	VERB
fuelectenerg-3144	656	28	threshold	threshold	NOUN
fuelectenerg-3144	656	29	,	,	PUNCT
fuelectenerg-3144	656	30	therefore	therefore	ADV
fuelectenerg-3144	656	31	allowing	allow	VERB
fuelectenerg-3144	656	32	the	the	DET
fuelectenerg-3144	656	33	use	use	NOUN
fuelectenerg-3144	656	34	of	of	ADP
fuelectenerg-3144	656	35	grover	grover	NOUN
fuelectenerg-3144	656	36	’s	’s	PART
fuelectenerg-3144	656	37	algorithm	algorithm	NOUN
fuelectenerg-3144	656	38	to	to	PART
fuelectenerg-3144	656	39	find	find	VERB
fuelectenerg-3144	656	40	the	the	DET
fuelectenerg-3144	656	41	exact	exact	ADJ
fuelectenerg-3144	656	42	minimum	minimum	ADJ
fuelectenerg-3144	656	43	-	-	PUNCT
fuelectenerg-3144	656	44	cost	cost	NOUN
fuelectenerg-3144	656	45	encoding	encoding	NOUN
fuelectenerg-3144	656	46	for	for	ADP
fuelectenerg-3144	656	47	an	an	DET
fuelectenerg-3144	656	48	fsm	fsm	PROPN
fuelectenerg-3144	656	49	.	.	PUNCT
fuelectenerg-3144	657	1	to	to	PART
fuelectenerg-3144	657	2	calculate	calculate	VERB
fuelectenerg-3144	657	3	the	the	DET
fuelectenerg-3144	657	4	cost	cost	NOUN
fuelectenerg-3144	657	5	of	of	ADP
fuelectenerg-3144	657	6	a	a	DET
fuelectenerg-3144	657	7	given	give	VERB
fuelectenerg-3144	657	8	encoding	encoding	NOUN
fuelectenerg-3144	657	9	,	,	PUNCT
fuelectenerg-3144	657	10	we	we	PRON
fuelectenerg-3144	657	11	require	require	VERB
fuelectenerg-3144	657	12	a	a	DET
fuelectenerg-3144	657	13	method	method	NOUN
fuelectenerg-3144	657	14	to	to	PART
fuelectenerg-3144	657	15	determine	determine	VERB
fuelectenerg-3144	657	16	whether	whether	SCONJ
fuelectenerg-3144	657	17	the	the	DET
fuelectenerg-3144	657	18	value	value	NOUN
fuelectenerg-3144	657	19	of	of	ADP
fuelectenerg-3144	657	20	a	a	DET
fuelectenerg-3144	657	21	given	give	VERB
fuelectenerg-3144	657	22	state	state	NOUN
fuelectenerg-3144	657	23	variable	variable	NOUN
fuelectenerg-3144	657	24	,	,	PUNCT
fuelectenerg-3144	657	25	say	say	VERB
fuelectenerg-3144	657	26	qi	qi	PROPN
fuelectenerg-3144	657	27	,	,	PUNCT
fuelectenerg-3144	657	28	at	at	ADP
fuelectenerg-3144	657	29	time	time	NOUN
fuelectenerg-3144	657	30	t	t	NOUN
fuelectenerg-3144	657	31	+	+	CCONJ
fuelectenerg-3144	657	32	1	1	NUM
fuelectenerg-3144	657	33	depends	depend	VERB
fuelectenerg-3144	657	34	on	on	ADP
fuelectenerg-3144	657	35	the	the	DET
fuelectenerg-3144	657	36	value	value	NOUN
fuelectenerg-3144	657	37	of	of	ADP
fuelectenerg-3144	657	38	any	any	DET
fuelectenerg-3144	657	39	(	(	PUNCT
fuelectenerg-3144	657	40	possibly	possibly	ADV
fuelectenerg-3144	657	41	the	the	DET
fuelectenerg-3144	657	42	same	same	ADJ
fuelectenerg-3144	657	43	or	or	CCONJ
fuelectenerg-3144	657	44	different	different	ADJ
fuelectenerg-3144	657	45	)	)	PUNCT
fuelectenerg-3144	657	46	state	state	NOUN
fuelectenerg-3144	657	47	variable	variable	NOUN
fuelectenerg-3144	657	48	,	,	PUNCT
fuelectenerg-3144	657	49	say	say	VERB
fuelectenerg-3144	657	50	qj	qj	PROPN
fuelectenerg-3144	657	51	,	,	PUNCT
fuelectenerg-3144	657	52	at	at	ADP
fuelectenerg-3144	657	53	time	time	NOUN
fuelectenerg-3144	657	54	t.	t.	NOUN
fuelectenerg-3144	657	55	by	by	ADP
fuelectenerg-3144	657	56	definition	definition	NOUN
fuelectenerg-3144	657	57	,	,	PUNCT
fuelectenerg-3144	657	58	the	the	DET
fuelectenerg-3144	657	59	value	value	NOUN
fuelectenerg-3144	657	60	of	of	ADP
fuelectenerg-3144	657	61	qi	qi	PROPN
fuelectenerg-3144	657	62	at	at	ADP
fuelectenerg-3144	657	63	time	time	NOUN
fuelectenerg-3144	657	64	t+	t+	NOUN
fuelectenerg-3144	657	65	1	1	NUM
fuelectenerg-3144	657	66	is	be	AUX
fuelectenerg-3144	657	67	given	give	VERB
fuelectenerg-3144	657	68	by	by	ADP
fuelectenerg-3144	657	69	the	the	DET
fuelectenerg-3144	657	70	function	function	NOUN
fuelectenerg-3144	657	71	δi	δi	ADV
fuelectenerg-3144	657	72	;	;	PUNCT
fuelectenerg-3144	657	73	thus	thus	ADV
fuelectenerg-3144	657	74	,	,	PUNCT
fuelectenerg-3144	657	75	q+	q+	ADV
fuelectenerg-3144	657	76	i	i	NOUN
fuelectenerg-3144	657	77	=	=	NOUN
fuelectenerg-3144	657	78	δi(q1	δi(q1	PROPN
fuelectenerg-3144	657	79	,	,	PUNCT
fuelectenerg-3144	657	80	.	.	PUNCT
fuelectenerg-3144	657	81	.	.	PUNCT
fuelectenerg-3144	658	1	.	.	PUNCT
fuelectenerg-3144	659	1	,	,	PUNCT
fuelectenerg-3144	659	2	qn	qn	INTJ
fuelectenerg-3144	659	3	,	,	PUNCT
fuelectenerg-3144	659	4	x1	x1	PROPN
fuelectenerg-3144	659	5	,	,	PUNCT
fuelectenerg-3144	659	6	.	.	PUNCT
fuelectenerg-3144	659	7	.	.	PUNCT
fuelectenerg-3144	660	1	.	.	PUNCT
fuelectenerg-3144	661	1	,	,	PUNCT
fuelectenerg-3144	661	2	xm	xm	PROPN
fuelectenerg-3144	661	3	)	)	PUNCT
fuelectenerg-3144	661	4	where	where	SCONJ
fuelectenerg-3144	661	5	n	n	NUM
fuelectenerg-3144	661	6	and	and	CCONJ
fuelectenerg-3144	661	7	m	m	PROPN
fuelectenerg-3144	661	8	are	be	AUX
fuelectenerg-3144	661	9	the	the	DET
fuelectenerg-3144	661	10	number	number	NOUN
fuelectenerg-3144	661	11	of	of	ADP
fuelectenerg-3144	661	12	state	state	NOUN
fuelectenerg-3144	661	13	and	and	CCONJ
fuelectenerg-3144	661	14	input	input	NOUN
fuelectenerg-3144	661	15	variables	variable	NOUN
fuelectenerg-3144	661	16	,	,	PUNCT
fuelectenerg-3144	661	17	respectively	respectively	ADV
fuelectenerg-3144	661	18	.	.	PUNCT
fuelectenerg-3144	662	1	now	now	ADV
fuelectenerg-3144	662	2	,	,	PUNCT
fuelectenerg-3144	662	3	q+	q+	ADV
fuelectenerg-3144	662	4	i	i	PRON
fuelectenerg-3144	662	5	only	only	ADV
fuelectenerg-3144	662	6	depends	depend	VERB
fuelectenerg-3144	662	7	on	on	ADP
fuelectenerg-3144	662	8	qj	qj	PROPN
fuelectenerg-3144	662	9	if	if	SCONJ
fuelectenerg-3144	662	10	,	,	PUNCT
fuelectenerg-3144	662	11	in	in	ADP
fuelectenerg-3144	662	12	at	at	ADV
fuelectenerg-3144	662	13	least	least	ADV
fuelectenerg-3144	662	14	one	one	NUM
fuelectenerg-3144	662	15	case	case	NOUN
fuelectenerg-3144	662	16	,	,	PUNCT
fuelectenerg-3144	662	17	a	a	DET
fuelectenerg-3144	662	18	change	change	NOUN
fuelectenerg-3144	662	19	in	in	ADP
fuelectenerg-3144	662	20	qj	qj	PROPN
fuelectenerg-3144	662	21	and	and	CCONJ
fuelectenerg-3144	662	22	in	in	ADP
fuelectenerg-3144	662	23	no	no	DET
fuelectenerg-3144	662	24	other	other	ADJ
fuelectenerg-3144	662	25	variables	variable	NOUN
fuelectenerg-3144	662	26	causes	cause	VERB
fuelectenerg-3144	662	27	a	a	DET
fuelectenerg-3144	662	28	change	change	NOUN
fuelectenerg-3144	662	29	in	in	ADP
fuelectenerg-3144	662	30	q+	q+	ADV
fuelectenerg-3144	662	31	i	i	PRON
fuelectenerg-3144	662	32	.	.	PUNCT
fuelectenerg-3144	663	1	in	in	ADP
fuelectenerg-3144	663	2	other	other	ADJ
fuelectenerg-3144	663	3	words	word	NOUN
fuelectenerg-3144	663	4	,	,	PUNCT
fuelectenerg-3144	663	5	if	if	SCONJ
fuelectenerg-3144	663	6	there	there	PRON
fuelectenerg-3144	663	7	exist	exist	VERB
fuelectenerg-3144	663	8	distinct	distinct	ADJ
fuelectenerg-3144	663	9	states	state	NOUN
fuelectenerg-3144	663	10	s	s	NOUN
fuelectenerg-3144	663	11	,	,	PUNCT
fuelectenerg-3144	663	12	s′	s′	PUNCT
fuelectenerg-3144	663	13	and	and	CCONJ
fuelectenerg-3144	663	14	an	an	DET
fuelectenerg-3144	663	15	input	input	NOUN
fuelectenerg-3144	663	16	value	value	NOUN
fuelectenerg-3144	663	17	i	i	PRON
fuelectenerg-3144	663	18	such	such	ADJ
fuelectenerg-3144	663	19	that	that	SCONJ
fuelectenerg-3144	663	20	qj	qj	PROPN
fuelectenerg-3144	663	21	is	be	AUX
fuelectenerg-3144	663	22	the	the	DET
fuelectenerg-3144	663	23	only	only	ADJ
fuelectenerg-3144	663	24	state	state	NOUN
fuelectenerg-3144	663	25	variable	variable	NOUN
fuelectenerg-3144	663	26	assigned	assign	VERB
fuelectenerg-3144	663	27	different	different	ADJ
fuelectenerg-3144	663	28	values	value	NOUN
fuelectenerg-3144	663	29	for	for	ADP
fuelectenerg-3144	663	30	s	s	NOUN
fuelectenerg-3144	663	31	and	and	CCONJ
fuelectenerg-3144	663	32	s′	s′	NOUN
fuelectenerg-3144	663	33	,	,	PUNCT
fuelectenerg-3144	663	34	and	and	CCONJ
fuelectenerg-3144	663	35	qi	qi	PROPN
fuelectenerg-3144	663	36	is	be	AUX
fuelectenerg-3144	663	37	assigned	assign	VERB
fuelectenerg-3144	663	38	different	different	ADJ
fuelectenerg-3144	663	39	values	value	NOUN
fuelectenerg-3144	663	40	for	for	ADP
fuelectenerg-3144	663	41	δ(s	δ(s	PROPN
fuelectenerg-3144	663	42	,	,	PUNCT
fuelectenerg-3144	663	43	i	i	NOUN
fuelectenerg-3144	663	44	)	)	PUNCT
fuelectenerg-3144	663	45	and	and	CCONJ
fuelectenerg-3144	663	46	δ(s′	δ(s′	PROPN
fuelectenerg-3144	663	47	,	,	PUNCT
fuelectenerg-3144	663	48	i	i	PROPN
fuelectenerg-3144	663	49	)	)	PUNCT
fuelectenerg-3144	663	50	,	,	PUNCT
fuelectenerg-3144	663	51	then	then	ADV
fuelectenerg-3144	663	52	q+	q+	ADV
fuelectenerg-3144	663	53	i	i	PRON
fuelectenerg-3144	663	54	depends	depend	VERB
fuelectenerg-3144	663	55	on	on	ADP
fuelectenerg-3144	663	56	qj	qj	PROPN
fuelectenerg-3144	663	57	.	.	PUNCT
fuelectenerg-3144	664	1	18	18	NUM
fuelectenerg-3144	664	2	as	as	ADP
fuelectenerg-3144	664	3	an	an	DET
fuelectenerg-3144	664	4	example	example	NOUN
fuelectenerg-3144	664	5	,	,	PUNCT
fuelectenerg-3144	664	6	consider	consider	VERB
fuelectenerg-3144	664	7	the	the	DET
fuelectenerg-3144	664	8	state	state	NOUN
fuelectenerg-3144	664	9	machine	machine	NOUN
fuelectenerg-3144	664	10	from	from	ADP
fuelectenerg-3144	664	11	figure	figure	NOUN
fuelectenerg-3144	664	12	2	2	NUM
fuelectenerg-3144	664	13	and	and	CCONJ
fuelectenerg-3144	664	14	the	the	DET
fuelectenerg-3144	664	15	encoding	encoding	NOUN
fuelectenerg-3144	664	16	in	in	ADP
fuelectenerg-3144	664	17	figure	figure	NOUN
fuelectenerg-3144	664	18	2(b	2(b	NUM
fuelectenerg-3144	664	19	)	)	PUNCT
fuelectenerg-3144	664	20	.	.	PUNCT
fuelectenerg-3144	665	1	the	the	DET
fuelectenerg-3144	665	2	encoded	encode	VERB
fuelectenerg-3144	665	3	transition	transition	NOUN
fuelectenerg-3144	665	4	function	function	NOUN
fuelectenerg-3144	665	5	q+	q+	ADP
fuelectenerg-3144	665	6	1	1	NUM
fuelectenerg-3144	665	7	=	=	SYM
fuelectenerg-3144	665	8	δ1(q1	δ1(q1	NOUN
fuelectenerg-3144	665	9	,	,	PUNCT
fuelectenerg-3144	665	10	q2	q2	NOUN
fuelectenerg-3144	665	11	,	,	PUNCT
fuelectenerg-3144	665	12	x1	x1	PROPN
fuelectenerg-3144	665	13	,	,	PUNCT
fuelectenerg-3144	665	14	x2	x2	PROPN
fuelectenerg-3144	665	15	)	)	PUNCT
fuelectenerg-3144	665	16	resulting	result	VERB
fuelectenerg-3144	665	17	from	from	ADP
fuelectenerg-3144	665	18	this	this	DET
fuelectenerg-3144	665	19	encoding	encoding	NOUN
fuelectenerg-3144	665	20	,	,	PUNCT
fuelectenerg-3144	665	21	shown	show	VERB
fuelectenerg-3144	665	22	in	in	ADP
fuelectenerg-3144	665	23	figure	figure	NOUN
fuelectenerg-3144	665	24	2(c	2(c	NUM
fuelectenerg-3144	665	25	)	)	PUNCT
fuelectenerg-3144	665	26	,	,	PUNCT
fuelectenerg-3144	665	27	depends	depend	VERB
fuelectenerg-3144	665	28	on	on	ADP
fuelectenerg-3144	665	29	all	all	DET
fuelectenerg-3144	665	30	four	four	NUM
fuelectenerg-3144	665	31	variables	variable	NOUN
fuelectenerg-3144	665	32	.	.	PUNCT
fuelectenerg-3144	666	1	the	the	DET
fuelectenerg-3144	666	2	dependency	dependency	NOUN
fuelectenerg-3144	666	3	on	on	ADP
fuelectenerg-3144	666	4	q1	q1	PROPN
fuelectenerg-3144	666	5	can	can	AUX
fuelectenerg-3144	666	6	be	be	AUX
fuelectenerg-3144	666	7	seen	see	VERB
fuelectenerg-3144	666	8	from	from	ADP
fuelectenerg-3144	666	9	the	the	DET
fuelectenerg-3144	666	10	fact	fact	NOUN
fuelectenerg-3144	666	11	that	that	SCONJ
fuelectenerg-3144	666	12	δ1(0	δ1(0	PROPN
fuelectenerg-3144	666	13	,	,	PUNCT
fuelectenerg-3144	666	14	0	0	NUM
fuelectenerg-3144	666	15	,	,	PUNCT
fuelectenerg-3144	666	16	0	0	NUM
fuelectenerg-3144	666	17	,	,	PUNCT
fuelectenerg-3144	666	18	1	1	NUM
fuelectenerg-3144	666	19	)	)	PUNCT
fuelectenerg-3144	666	20	=	=	SYM
fuelectenerg-3144	666	21	0	0	NUM
fuelectenerg-3144	666	22	but	but	CCONJ
fuelectenerg-3144	666	23	δ1(1	δ1(1	PROPN
fuelectenerg-3144	666	24	,	,	PUNCT
fuelectenerg-3144	666	25	0	0	NUM
fuelectenerg-3144	666	26	,	,	PUNCT
fuelectenerg-3144	666	27	0	0	NUM
fuelectenerg-3144	666	28	,	,	PUNCT
fuelectenerg-3144	666	29	1	1	NUM
fuelectenerg-3144	666	30	)	)	PUNCT
fuelectenerg-3144	666	31	=	=	SYM
fuelectenerg-3144	666	32	1	1	NUM
fuelectenerg-3144	666	33	;	;	PUNCT
fuelectenerg-3144	666	34	i.e.	i.e.	X
fuelectenerg-3144	666	35	,	,	PUNCT
fuelectenerg-3144	666	36	a	a	DET
fuelectenerg-3144	666	37	change	change	NOUN
fuelectenerg-3144	666	38	in	in	ADP
fuelectenerg-3144	666	39	only	only	ADJ
fuelectenerg-3144	666	40	q1	q1	NOUN
fuelectenerg-3144	666	41	causes	cause	VERB
fuelectenerg-3144	666	42	a	a	DET
fuelectenerg-3144	666	43	change	change	NOUN
fuelectenerg-3144	666	44	in	in	ADP
fuelectenerg-3144	666	45	δ1	δ1	NOUN
fuelectenerg-3144	666	46	.	.	PUNCT
fuelectenerg-3144	667	1	in	in	ADP
fuelectenerg-3144	667	2	terms	term	NOUN
fuelectenerg-3144	667	3	of	of	ADP
fuelectenerg-3144	667	4	states	state	NOUN
fuelectenerg-3144	667	5	and	and	CCONJ
fuelectenerg-3144	667	6	input	input	NOUN
fuelectenerg-3144	667	7	values	value	NOUN
fuelectenerg-3144	667	8	,	,	PUNCT
fuelectenerg-3144	667	9	q1q2	q1q2	NOUN
fuelectenerg-3144	667	10	=	=	SYM
fuelectenerg-3144	667	11	00	00	NUM
fuelectenerg-3144	667	12	corresponds	correspond	VERB
fuelectenerg-3144	667	13	to	to	ADP
fuelectenerg-3144	667	14	a	a	DET
fuelectenerg-3144	667	15	current	current	ADJ
fuelectenerg-3144	667	16	state	state	NOUN
fuelectenerg-3144	667	17	of	of	ADP
fuelectenerg-3144	667	18	s1	s1	PROPN
fuelectenerg-3144	667	19	and	and	CCONJ
fuelectenerg-3144	667	20	q1q2	q1q2	ADJ
fuelectenerg-3144	667	21	=	=	NOUN
fuelectenerg-3144	667	22	10	10	NUM
fuelectenerg-3144	667	23	corresponds	correspond	NOUN
fuelectenerg-3144	667	24	to	to	ADP
fuelectenerg-3144	667	25	s3	s3	PROPN
fuelectenerg-3144	667	26	.	.	PUNCT
fuelectenerg-3144	668	1	we	we	PRON
fuelectenerg-3144	668	2	then	then	ADV
fuelectenerg-3144	668	3	see	see	VERB
fuelectenerg-3144	668	4	that	that	SCONJ
fuelectenerg-3144	668	5	given	give	VERB
fuelectenerg-3144	668	6	the	the	DET
fuelectenerg-3144	668	7	pair	pair	NOUN
fuelectenerg-3144	668	8	of	of	ADP
fuelectenerg-3144	668	9	states	state	NOUN
fuelectenerg-3144	668	10	(	(	PUNCT
fuelectenerg-3144	668	11	s1	s1	NOUN
fuelectenerg-3144	668	12	,	,	PUNCT
fuelectenerg-3144	668	13	s3	s3	PROPN
fuelectenerg-3144	668	14	)	)	PUNCT
fuelectenerg-3144	668	15	,	,	PUNCT
fuelectenerg-3144	668	16	whose	whose	DET
fuelectenerg-3144	668	17	encodings	encoding	NOUN
fuelectenerg-3144	668	18	differ	differ	VERB
fuelectenerg-3144	668	19	only	only	ADV
fuelectenerg-3144	668	20	in	in	ADP
fuelectenerg-3144	668	21	q1	q1	PROPN
fuelectenerg-3144	668	22	,	,	PUNCT
fuelectenerg-3144	668	23	for	for	ADP
fuelectenerg-3144	668	24	at	at	ADV
fuelectenerg-3144	668	25	least	least	ADV
fuelectenerg-3144	668	26	one	one	NUM
fuelectenerg-3144	668	27	input	input	NOUN
fuelectenerg-3144	668	28	value	value	NOUN
fuelectenerg-3144	668	29	—	—	PUNCT
fuelectenerg-3144	668	30	in	in	ADP
fuelectenerg-3144	668	31	this	this	DET
fuelectenerg-3144	668	32	case	case	NOUN
fuelectenerg-3144	668	33	,	,	PUNCT
fuelectenerg-3144	668	34	i2	i2	PROPN
fuelectenerg-3144	668	35	,	,	PUNCT
fuelectenerg-3144	668	36	which	which	PRON
fuelectenerg-3144	668	37	corresponds	correspond	VERB
fuelectenerg-3144	668	38	to	to	ADP
fuelectenerg-3144	668	39	x1x2	x1x2	PUNCT
fuelectenerg-3144	669	1	=	=	SYM
fuelectenerg-3144	669	2	01	01	NUM
fuelectenerg-3144	669	3	—	—	PUNCT
fuelectenerg-3144	669	4	the	the	DET
fuelectenerg-3144	669	5	corresponding	correspond	VERB
fuelectenerg-3144	669	6	pair	pair	NOUN
fuelectenerg-3144	669	7	of	of	ADP
fuelectenerg-3144	669	8	next	next	ADJ
fuelectenerg-3144	669	9	states	state	NOUN
fuelectenerg-3144	669	10	,	,	PUNCT
fuelectenerg-3144	669	11	(	(	PUNCT
fuelectenerg-3144	669	12	s2	s2	PROPN
fuelectenerg-3144	669	13	,	,	PUNCT
fuelectenerg-3144	669	14	s3	s3	PROPN
fuelectenerg-3144	669	15	)	)	PUNCT
fuelectenerg-3144	669	16	,	,	PUNCT
fuelectenerg-3144	669	17	is	be	AUX
fuelectenerg-3144	669	18	such	such	ADJ
fuelectenerg-3144	669	19	that	that	SCONJ
fuelectenerg-3144	669	20	the	the	DET
fuelectenerg-3144	669	21	value	value	NOUN
fuelectenerg-3144	669	22	of	of	ADP
fuelectenerg-3144	669	23	q1	q1	PROPN
fuelectenerg-3144	669	24	differs	differ	NOUN
fuelectenerg-3144	669	25	between	between	ADP
fuelectenerg-3144	669	26	the	the	DET
fuelectenerg-3144	669	27	two	two	NUM
fuelectenerg-3144	669	28	states	state	NOUN
fuelectenerg-3144	669	29	in	in	ADP
fuelectenerg-3144	669	30	the	the	DET
fuelectenerg-3144	669	31	pair	pair	NOUN
fuelectenerg-3144	669	32	.	.	PUNCT
fuelectenerg-3144	670	1	the	the	DET
fuelectenerg-3144	670	2	result	result	NOUN
fuelectenerg-3144	670	3	of	of	ADP
fuelectenerg-3144	670	4	the	the	DET
fuelectenerg-3144	670	5	preceding	precede	VERB
fuelectenerg-3144	670	6	discussion	discussion	NOUN
fuelectenerg-3144	670	7	may	may	AUX
fuelectenerg-3144	670	8	be	be	AUX
fuelectenerg-3144	670	9	more	more	ADV
fuelectenerg-3144	670	10	formally	formally	ADV
fuelectenerg-3144	670	11	expressed	express	VERB
fuelectenerg-3144	670	12	as	as	SCONJ
fuelectenerg-3144	670	13	follows	follow	VERB
fuelectenerg-3144	670	14	.	.	PUNCT
fuelectenerg-3144	671	1	for	for	ADP
fuelectenerg-3144	671	2	any	any	DET
fuelectenerg-3144	671	3	two	two	NUM
fuelectenerg-3144	671	4	distinct	distinct	ADJ
fuelectenerg-3144	671	5	states	state	NOUN
fuelectenerg-3144	671	6	s	s	PART
fuelectenerg-3144	671	7	and	and	CCONJ
fuelectenerg-3144	671	8	s′	s′	NOUN
fuelectenerg-3144	671	9	,	,	PUNCT
fuelectenerg-3144	671	10	let	let	VERB
fuelectenerg-3144	671	11	dj(s	dj(s	NOUN
fuelectenerg-3144	671	12	,	,	PUNCT
fuelectenerg-3144	671	13	s	s	NOUN
fuelectenerg-3144	671	14	′	′	NOUN
fuelectenerg-3144	671	15	)	)	PUNCT
fuelectenerg-3144	671	16	mean	mean	NOUN
fuelectenerg-3144	671	17	“	"	PUNCT
fuelectenerg-3144	671	18	the	the	DET
fuelectenerg-3144	671	19	encodings	encoding	NOUN
fuelectenerg-3144	671	20	of	of	ADP
fuelectenerg-3144	671	21	s	s	PRON
fuelectenerg-3144	671	22	and	and	CCONJ
fuelectenerg-3144	671	23	s′	s′	NOUN
fuelectenerg-3144	671	24	differ	differ	VERB
fuelectenerg-3144	671	25	only	only	ADV
fuelectenerg-3144	671	26	in	in	ADP
fuelectenerg-3144	671	27	the	the	DET
fuelectenerg-3144	671	28	value	value	NOUN
fuelectenerg-3144	671	29	of	of	ADP
fuelectenerg-3144	671	30	qj	qj	PROPN
fuelectenerg-3144	671	31	”	"	PUNCT
fuelectenerg-3144	671	32	and	and	CCONJ
fuelectenerg-3144	671	33	let	let	VERB
fuelectenerg-3144	671	34	ai(s	ai(s	PRON
fuelectenerg-3144	671	35	,	,	PUNCT
fuelectenerg-3144	671	36	s	s	PART
fuelectenerg-3144	671	37	′	′	NOUN
fuelectenerg-3144	671	38	)	)	PUNCT
fuelectenerg-3144	671	39	mean	mean	NOUN
fuelectenerg-3144	671	40	“	"	PUNCT
fuelectenerg-3144	671	41	the	the	DET
fuelectenerg-3144	671	42	encodings	encoding	NOUN
fuelectenerg-3144	671	43	of	of	ADP
fuelectenerg-3144	671	44	s	s	PRON
fuelectenerg-3144	671	45	and	and	CCONJ
fuelectenerg-3144	671	46	s′	s′	NOUN
fuelectenerg-3144	671	47	agree	agree	VERB
fuelectenerg-3144	671	48	in	in	ADP
fuelectenerg-3144	671	49	the	the	DET
fuelectenerg-3144	671	50	value	value	NOUN
fuelectenerg-3144	671	51	of	of	ADP
fuelectenerg-3144	671	52	qi	qi	PROPN
fuelectenerg-3144	671	53	”	"	PUNCT
fuelectenerg-3144	671	54	.	.	PUNCT
fuelectenerg-3144	672	1	then	then	ADV
fuelectenerg-3144	672	2	,	,	PUNCT
fuelectenerg-3144	672	3	check	check	VERB
fuelectenerg-3144	672	4	whether	whether	SCONJ
fuelectenerg-3144	672	5	dj(s	dj(s	NOUN
fuelectenerg-3144	672	6	,	,	PUNCT
fuelectenerg-3144	672	7	s	s	NOUN
fuelectenerg-3144	672	8	′	′	NOUN
fuelectenerg-3144	672	9	)	)	PUNCT
fuelectenerg-3144	672	10	⇒	⇒	VERB
fuelectenerg-3144	672	11	∀i	∀i	NOUN
fuelectenerg-3144	672	12	∈	∈	X
fuelectenerg-3144	672	13	i	i	PRON
fuelectenerg-3144	672	14	ai(δ(s	ai(δ(s	PROPN
fuelectenerg-3144	672	15	,	,	PUNCT
fuelectenerg-3144	672	16	i	i	PROPN
fuelectenerg-3144	672	17	)	)	PUNCT
fuelectenerg-3144	672	18	,	,	PUNCT
fuelectenerg-3144	672	19	δ(s	δ(s	PROPN
fuelectenerg-3144	672	20	′	′	NUM
fuelectenerg-3144	672	21	,	,	PUNCT
fuelectenerg-3144	672	22	i	i	NOUN
fuelectenerg-3144	672	23	)	)	PUNCT
fuelectenerg-3144	672	24	)	)	PUNCT
fuelectenerg-3144	673	1	(	(	PUNCT
fuelectenerg-3144	673	2	1	1	X
fuelectenerg-3144	673	3	)	)	PUNCT
fuelectenerg-3144	673	4	for	for	ADP
fuelectenerg-3144	673	5	all	all	DET
fuelectenerg-3144	673	6	pairs	pair	NOUN
fuelectenerg-3144	673	7	of	of	ADP
fuelectenerg-3144	673	8	distinct	distinct	ADJ
fuelectenerg-3144	673	9	states	state	NOUN
fuelectenerg-3144	673	10	(	(	PUNCT
fuelectenerg-3144	673	11	s	s	PROPN
fuelectenerg-3144	673	12	,	,	PUNCT
fuelectenerg-3144	673	13	s′	s′	NOUN
fuelectenerg-3144	673	14	)	)	PUNCT
fuelectenerg-3144	673	15	.	.	PUNCT
fuelectenerg-3144	674	1	if	if	SCONJ
fuelectenerg-3144	674	2	so	so	ADV
fuelectenerg-3144	674	3	,	,	PUNCT
fuelectenerg-3144	674	4	then	then	ADV
fuelectenerg-3144	674	5	q+	q+	ADV
fuelectenerg-3144	674	6	i	i	PRON
fuelectenerg-3144	674	7	does	do	AUX
fuelectenerg-3144	674	8	not	not	PART
fuelectenerg-3144	674	9	depend	depend	VERB
fuelectenerg-3144	674	10	on	on	ADP
fuelectenerg-3144	674	11	qj	qj	PROPN
fuelectenerg-3144	674	12	;	;	PUNCT
fuelectenerg-3144	674	13	otherwise	otherwise	ADV
fuelectenerg-3144	674	14	,	,	PUNCT
fuelectenerg-3144	674	15	it	it	PRON
fuelectenerg-3144	674	16	does	do	VERB
fuelectenerg-3144	674	17	.	.	PUNCT
fuelectenerg-3144	675	1	we	we	PRON
fuelectenerg-3144	675	2	determine	determine	VERB
fuelectenerg-3144	675	3	the	the	DET
fuelectenerg-3144	675	4	dependency	dependency	NOUN
fuelectenerg-3144	675	5	of	of	ADP
fuelectenerg-3144	675	6	a	a	DET
fuelectenerg-3144	675	7	given	give	VERB
fuelectenerg-3144	675	8	q+	q+	ADV
fuelectenerg-3144	675	9	i	i	PRON
fuelectenerg-3144	675	10	on	on	ADP
fuelectenerg-3144	675	11	an	an	DET
fuelectenerg-3144	675	12	input	input	NOUN
fuelectenerg-3144	675	13	variable	variable	NOUN
fuelectenerg-3144	675	14	xj	xj	PROPN
fuelectenerg-3144	675	15	in	in	ADP
fuelectenerg-3144	675	16	a	a	DET
fuelectenerg-3144	675	17	similar	similar	ADJ
fuelectenerg-3144	675	18	manner	manner	NOUN
fuelectenerg-3144	675	19	.	.	PUNCT
fuelectenerg-3144	676	1	specifically	specifically	ADV
fuelectenerg-3144	676	2	,	,	PUNCT
fuelectenerg-3144	676	3	q+	q+	ADV
fuelectenerg-3144	676	4	i	i	PRON
fuelectenerg-3144	676	5	depends	depend	VERB
fuelectenerg-3144	676	6	on	on	ADP
fuelectenerg-3144	676	7	xj	xj	NOUN
fuelectenerg-3144	676	8	if	if	SCONJ
fuelectenerg-3144	676	9	and	and	CCONJ
fuelectenerg-3144	676	10	only	only	ADV
fuelectenerg-3144	676	11	if	if	SCONJ
fuelectenerg-3144	676	12	,	,	PUNCT
fuelectenerg-3144	676	13	in	in	ADP
fuelectenerg-3144	676	14	at	at	ADV
fuelectenerg-3144	676	15	least	least	ADV
fuelectenerg-3144	676	16	one	one	NUM
fuelectenerg-3144	676	17	case	case	NOUN
fuelectenerg-3144	676	18	,	,	PUNCT
fuelectenerg-3144	676	19	a	a	DET
fuelectenerg-3144	676	20	change	change	NOUN
fuelectenerg-3144	676	21	in	in	ADP
fuelectenerg-3144	676	22	xj	xj	PROPN
fuelectenerg-3144	676	23	and	and	CCONJ
fuelectenerg-3144	676	24	in	in	ADP
fuelectenerg-3144	676	25	no	no	DET
fuelectenerg-3144	676	26	other	other	ADJ
fuelectenerg-3144	676	27	state	state	NOUN
fuelectenerg-3144	676	28	or	or	CCONJ
fuelectenerg-3144	676	29	input	input	NOUN
fuelectenerg-3144	676	30	variables	variable	NOUN
fuelectenerg-3144	676	31	causes	cause	VERB
fuelectenerg-3144	676	32	a	a	DET
fuelectenerg-3144	676	33	change	change	NOUN
fuelectenerg-3144	676	34	in	in	ADP
fuelectenerg-3144	676	35	q+	q+	ADV
fuelectenerg-3144	676	36	i	i	PRON
fuelectenerg-3144	676	37	.	.	PUNCT
fuelectenerg-3144	677	1	therefore	therefore	ADV
fuelectenerg-3144	677	2	,	,	PUNCT
fuelectenerg-3144	677	3	we	we	PRON
fuelectenerg-3144	677	4	consider	consider	VERB
fuelectenerg-3144	677	5	all	all	DET
fuelectenerg-3144	677	6	pairs	pair	NOUN
fuelectenerg-3144	677	7	of	of	ADP
fuelectenerg-3144	677	8	distinct	distinct	ADJ
fuelectenerg-3144	677	9	input	input	NOUN
fuelectenerg-3144	677	10	values	value	NOUN
fuelectenerg-3144	677	11	and	and	CCONJ
fuelectenerg-3144	677	12	determine	determine	VERB
fuelectenerg-3144	677	13	whether	whether	SCONJ
fuelectenerg-3144	677	14	,	,	PUNCT
fuelectenerg-3144	677	15	for	for	ADP
fuelectenerg-3144	677	16	those	those	DET
fuelectenerg-3144	677	17	pairs	pair	NOUN
fuelectenerg-3144	677	18	whose	whose	DET
fuelectenerg-3144	677	19	encodings	encoding	NOUN
fuelectenerg-3144	677	20	differ	differ	VERB
fuelectenerg-3144	677	21	only	only	ADV
fuelectenerg-3144	677	22	in	in	ADP
fuelectenerg-3144	677	23	xj	xj	PROPN
fuelectenerg-3144	677	24	,	,	PUNCT
fuelectenerg-3144	677	25	the	the	DET
fuelectenerg-3144	677	26	encodings	encoding	NOUN
fuelectenerg-3144	677	27	of	of	ADP
fuelectenerg-3144	677	28	the	the	DET
fuelectenerg-3144	677	29	corresponding	correspond	VERB
fuelectenerg-3144	677	30	pair	pair	NOUN
fuelectenerg-3144	677	31	of	of	ADP
fuelectenerg-3144	677	32	next	next	ADJ
fuelectenerg-3144	677	33	states	state	NOUN
fuelectenerg-3144	677	34	can	can	AUX
fuelectenerg-3144	677	35	ever	ever	ADV
fuelectenerg-3144	677	36	differ	differ	VERB
fuelectenerg-3144	677	37	in	in	ADP
fuelectenerg-3144	677	38	qi	qi	PROPN
fuelectenerg-3144	677	39	.	.	PUNCT
fuelectenerg-3144	678	1	in	in	ADP
fuelectenerg-3144	678	2	other	other	ADJ
fuelectenerg-3144	678	3	words	word	NOUN
fuelectenerg-3144	678	4	,	,	PUNCT
fuelectenerg-3144	678	5	for	for	ADP
fuelectenerg-3144	678	6	any	any	DET
fuelectenerg-3144	678	7	two	two	NUM
fuelectenerg-3144	678	8	distinct	distinct	ADJ
fuelectenerg-3144	678	9	input	input	NOUN
fuelectenerg-3144	678	10	values	value	NOUN
fuelectenerg-3144	678	11	i	i	PRON
fuelectenerg-3144	678	12	and	and	CCONJ
fuelectenerg-3144	678	13	i′	i′	NOUN
fuelectenerg-3144	678	14	,	,	PUNCT
fuelectenerg-3144	678	15	let	let	VERB
fuelectenerg-3144	678	16	dj(i	dj(i	NOUN
fuelectenerg-3144	678	17	,	,	PUNCT
fuelectenerg-3144	678	18	i	i	PRON
fuelectenerg-3144	678	19	′	′	VERB
fuelectenerg-3144	678	20	)	)	PUNCT
fuelectenerg-3144	678	21	mean	mean	VERB
fuelectenerg-3144	678	22	“	"	PUNCT
fuelectenerg-3144	678	23	the	the	DET
fuelectenerg-3144	678	24	encodings	encoding	NOUN
fuelectenerg-3144	678	25	of	of	ADP
fuelectenerg-3144	678	26	i	i	PRON
fuelectenerg-3144	678	27	and	and	CCONJ
fuelectenerg-3144	678	28	i′	i′	NOUN
fuelectenerg-3144	678	29	differ	differ	VERB
fuelectenerg-3144	678	30	only	only	ADV
fuelectenerg-3144	678	31	in	in	ADP
fuelectenerg-3144	678	32	the	the	DET
fuelectenerg-3144	678	33	value	value	NOUN
fuelectenerg-3144	678	34	of	of	ADP
fuelectenerg-3144	678	35	xj	xj	NOUN
fuelectenerg-3144	678	36	”	"	PUNCT
fuelectenerg-3144	678	37	,	,	PUNCT
fuelectenerg-3144	678	38	and	and	CCONJ
fuelectenerg-3144	678	39	for	for	ADP
fuelectenerg-3144	678	40	any	any	DET
fuelectenerg-3144	678	41	two	two	NUM
fuelectenerg-3144	678	42	states	state	NOUN
fuelectenerg-3144	678	43	s	s	PART
fuelectenerg-3144	678	44	and	and	CCONJ
fuelectenerg-3144	678	45	s′	s′	NOUN
fuelectenerg-3144	678	46	,	,	PUNCT
fuelectenerg-3144	678	47	let	let	VERB
fuelectenerg-3144	678	48	ai(s	ai(s	PRON
fuelectenerg-3144	678	49	,	,	PUNCT
fuelectenerg-3144	678	50	s	s	PART
fuelectenerg-3144	678	51	′	′	NOUN
fuelectenerg-3144	678	52	)	)	PUNCT
fuelectenerg-3144	679	1	mean	mean	NOUN
fuelectenerg-3144	679	2	(	(	PUNCT
fuelectenerg-3144	679	3	as	as	ADP
fuelectenerg-3144	679	4	before	before	ADV
fuelectenerg-3144	679	5	)	)	PUNCT
fuelectenerg-3144	679	6	“	"	PUNCT
fuelectenerg-3144	679	7	the	the	DET
fuelectenerg-3144	679	8	encodings	encoding	NOUN
fuelectenerg-3144	679	9	of	of	ADP
fuelectenerg-3144	679	10	s	s	PRON
fuelectenerg-3144	679	11	and	and	CCONJ
fuelectenerg-3144	679	12	s′	s′	NOUN
fuelectenerg-3144	679	13	agree	agree	VERB
fuelectenerg-3144	679	14	in	in	ADP
fuelectenerg-3144	679	15	the	the	DET
fuelectenerg-3144	679	16	value	value	NOUN
fuelectenerg-3144	679	17	of	of	ADP
fuelectenerg-3144	679	18	qi	qi	PROPN
fuelectenerg-3144	679	19	”	"	PUNCT
fuelectenerg-3144	679	20	.	.	PUNCT
fuelectenerg-3144	680	1	then	then	ADV
fuelectenerg-3144	680	2	,	,	PUNCT
fuelectenerg-3144	680	3	we	we	PRON
fuelectenerg-3144	680	4	wish	wish	VERB
fuelectenerg-3144	680	5	to	to	PART
fuelectenerg-3144	680	6	check	check	VERB
fuelectenerg-3144	680	7	whether	whether	SCONJ
fuelectenerg-3144	680	8	the	the	DET
fuelectenerg-3144	680	9	condition	condition	NOUN
fuelectenerg-3144	680	10	dj(i	dj(i	VERB
fuelectenerg-3144	680	11	,	,	PUNCT
fuelectenerg-3144	680	12	i	i	PRON
fuelectenerg-3144	680	13	′	′	NOUN
fuelectenerg-3144	680	14	)	)	PUNCT
fuelectenerg-3144	680	15	⇒	⇒	NOUN
fuelectenerg-3144	680	16	∀s	∀s	PROPN
fuelectenerg-3144	680	17	∈	∈	PROPN
fuelectenerg-3144	680	18	s	s	PART
fuelectenerg-3144	680	19	ai(δ(s	ai(δ(s	PROPN
fuelectenerg-3144	680	20	,	,	PUNCT
fuelectenerg-3144	680	21	i	i	NOUN
fuelectenerg-3144	680	22	)	)	PUNCT
fuelectenerg-3144	680	23	,	,	PUNCT
fuelectenerg-3144	680	24	δ(s	δ(s	PROPN
fuelectenerg-3144	680	25	,	,	PUNCT
fuelectenerg-3144	680	26	i	i	PRON
fuelectenerg-3144	680	27	′	′	NOUN
fuelectenerg-3144	680	28	)	)	PUNCT
fuelectenerg-3144	680	29	)	)	PUNCT
fuelectenerg-3144	681	1	(	(	PUNCT
fuelectenerg-3144	681	2	2	2	X
fuelectenerg-3144	681	3	)	)	PUNCT
fuelectenerg-3144	681	4	holds	hold	VERB
fuelectenerg-3144	681	5	for	for	ADP
fuelectenerg-3144	681	6	every	every	DET
fuelectenerg-3144	681	7	pair	pair	NOUN
fuelectenerg-3144	681	8	of	of	ADP
fuelectenerg-3144	681	9	distinct	distinct	ADJ
fuelectenerg-3144	681	10	input	input	NOUN
fuelectenerg-3144	681	11	values	value	NOUN
fuelectenerg-3144	681	12	(	(	PUNCT
fuelectenerg-3144	681	13	i	i	NOUN
fuelectenerg-3144	681	14	,	,	PUNCT
fuelectenerg-3144	681	15	i′	i′	NOUN
fuelectenerg-3144	681	16	)	)	PUNCT
fuelectenerg-3144	681	17	.	.	PUNCT
fuelectenerg-3144	682	1	if	if	SCONJ
fuelectenerg-3144	682	2	so	so	ADV
fuelectenerg-3144	682	3	,	,	PUNCT
fuelectenerg-3144	682	4	q+	q+	ADV
fuelectenerg-3144	682	5	i	i	PRON
fuelectenerg-3144	682	6	does	do	AUX
fuelectenerg-3144	682	7	not	not	PART
fuelectenerg-3144	682	8	depend	depend	VERB
fuelectenerg-3144	682	9	on	on	ADP
fuelectenerg-3144	682	10	xj	xj	PROPN
fuelectenerg-3144	682	11	;	;	PUNCT
fuelectenerg-3144	682	12	otherwise	otherwise	ADV
fuelectenerg-3144	682	13	,	,	PUNCT
fuelectenerg-3144	682	14	it	it	PRON
fuelectenerg-3144	682	15	does	do	VERB
fuelectenerg-3144	682	16	.	.	PUNCT
fuelectenerg-3144	683	1	equipped	equip	VERB
fuelectenerg-3144	683	2	with	with	ADP
fuelectenerg-3144	683	3	a	a	DET
fuelectenerg-3144	683	4	procedure	procedure	NOUN
fuelectenerg-3144	683	5	to	to	PART
fuelectenerg-3144	683	6	determine	determine	VERB
fuelectenerg-3144	683	7	the	the	DET
fuelectenerg-3144	683	8	dependency	dependency	NOUN
fuelectenerg-3144	683	9	of	of	ADP
fuelectenerg-3144	683	10	a	a	DET
fuelectenerg-3144	683	11	given	give	VERB
fuelectenerg-3144	683	12	q+	q+	ADV
fuelectenerg-3144	683	13	i	i	PRON
fuelectenerg-3144	683	14	on	on	ADP
fuelectenerg-3144	683	15	any	any	DET
fuelectenerg-3144	683	16	single	single	ADJ
fuelectenerg-3144	683	17	state	state	NOUN
fuelectenerg-3144	683	18	or	or	CCONJ
fuelectenerg-3144	683	19	input	input	NOUN
fuelectenerg-3144	683	20	variable	variable	NOUN
fuelectenerg-3144	683	21	,	,	PUNCT
fuelectenerg-3144	683	22	it	it	PRON
fuelectenerg-3144	683	23	is	be	AUX
fuelectenerg-3144	683	24	now	now	ADV
fuelectenerg-3144	683	25	straightforward	straightforward	ADJ
fuelectenerg-3144	683	26	to	to	PART
fuelectenerg-3144	683	27	compute	compute	VERB
fuelectenerg-3144	683	28	the	the	DET
fuelectenerg-3144	683	29	total	total	ADJ
fuelectenerg-3144	683	30	cost	cost	NOUN
fuelectenerg-3144	683	31	of	of	ADP
fuelectenerg-3144	683	32	an	an	DET
fuelectenerg-3144	683	33	encoding	encoding	NOUN
fuelectenerg-3144	683	34	.	.	PUNCT
fuelectenerg-3144	684	1	we	we	PRON
fuelectenerg-3144	684	2	calculate	calculate	VERB
fuelectenerg-3144	684	3	the	the	DET
fuelectenerg-3144	684	4	cost	cost	NOUN
fuelectenerg-3144	684	5	of	of	ADP
fuelectenerg-3144	684	6	each	each	PRON
fuelectenerg-3144	684	7	q+	q+	PUNCT
fuelectenerg-3144	684	8	i	i	PRON
fuelectenerg-3144	684	9	in	in	ADP
fuelectenerg-3144	684	10	accordance	accordance	NOUN
fuelectenerg-3144	684	11	with	with	ADP
fuelectenerg-3144	684	12	our	our	PRON
fuelectenerg-3144	684	13	cost	cost	NOUN
fuelectenerg-3144	684	14	model	model	NOUN
fuelectenerg-3144	684	15	—	—	PUNCT
fuelectenerg-3144	684	16	the	the	DET
fuelectenerg-3144	684	17	total	total	ADJ
fuelectenerg-3144	684	18	number	number	NOUN
fuelectenerg-3144	684	19	of	of	ADP
fuelectenerg-3144	684	20	state	state	NOUN
fuelectenerg-3144	684	21	and	and	CCONJ
fuelectenerg-3144	684	22	input	input	NOUN
fuelectenerg-3144	684	23	variables	variable	NOUN
fuelectenerg-3144	684	24	on	on	ADP
fuelectenerg-3144	684	25	which	which	PRON
fuelectenerg-3144	684	26	q+	q+	ADP
fuelectenerg-3144	684	27	i	i	PRON
fuelectenerg-3144	684	28	depends	depend	VERB
fuelectenerg-3144	684	29	gives	give	VERB
fuelectenerg-3144	684	30	the	the	DET
fuelectenerg-3144	684	31	cost	cost	NOUN
fuelectenerg-3144	684	32	of	of	ADP
fuelectenerg-3144	684	33	q+	q+	ADP
fuelectenerg-3144	684	34	i	i	PRON
fuelectenerg-3144	684	35	.	.	PUNCT
fuelectenerg-3144	685	1	then	then	ADV
fuelectenerg-3144	685	2	,	,	PUNCT
fuelectenerg-3144	685	3	the	the	DET
fuelectenerg-3144	685	4	sum	sum	NOUN
fuelectenerg-3144	685	5	of	of	ADP
fuelectenerg-3144	685	6	costs	cost	NOUN
fuelectenerg-3144	685	7	of	of	ADP
fuelectenerg-3144	685	8	q+	q+	ADP
fuelectenerg-3144	685	9	i	i	PRON
fuelectenerg-3144	685	10	for	for	ADP
fuelectenerg-3144	685	11	1	1	NUM
fuelectenerg-3144	685	12	≤	≤	NUM
fuelectenerg-3144	685	13	i	i	PRON
fuelectenerg-3144	685	14	≤	≤	NOUN
fuelectenerg-3144	685	15	n	n	VERB
fuelectenerg-3144	685	16	gives	give	VERB
fuelectenerg-3144	685	17	the	the	DET
fuelectenerg-3144	685	18	total	total	ADJ
fuelectenerg-3144	685	19	cost	cost	NOUN
fuelectenerg-3144	685	20	of	of	ADP
fuelectenerg-3144	685	21	a	a	DET
fuelectenerg-3144	685	22	given	give	VERB
fuelectenerg-3144	685	23	encoding	encoding	NOUN
fuelectenerg-3144	685	24	.	.	PUNCT
fuelectenerg-3144	686	1	4.2	4.2	NUM
fuelectenerg-3144	686	2	necessity	necessity	NOUN
fuelectenerg-3144	686	3	for	for	ADP
fuelectenerg-3144	686	4	transition	transition	NOUN
fuelectenerg-3144	686	5	functions	function	NOUN
fuelectenerg-3144	686	6	to	to	PART
fuelectenerg-3144	686	7	be	be	AUX
fuelectenerg-3144	686	8	completely	completely	ADV
fuelectenerg-3144	686	9	specified	specify	VERB
fuelectenerg-3144	686	10	the	the	DET
fuelectenerg-3144	686	11	just	just	ADV
fuelectenerg-3144	686	12	-	-	PUNCT
fuelectenerg-3144	686	13	described	describe	VERB
fuelectenerg-3144	686	14	procedure	procedure	NOUN
fuelectenerg-3144	686	15	only	only	ADV
fuelectenerg-3144	686	16	gives	give	VERB
fuelectenerg-3144	686	17	the	the	DET
fuelectenerg-3144	686	18	correct	correct	ADJ
fuelectenerg-3144	686	19	cost	cost	NOUN
fuelectenerg-3144	686	20	if	if	SCONJ
fuelectenerg-3144	686	21	the	the	DET
fuelectenerg-3144	686	22	encoding	encoding	NOUN
fuelectenerg-3144	686	23	is	be	AUX
fuelectenerg-3144	686	24	bijective	bijective	ADJ
fuelectenerg-3144	686	25	.	.	PUNCT
fuelectenerg-3144	687	1	if	if	SCONJ
fuelectenerg-3144	687	2	this	this	DET
fuelectenerg-3144	687	3	condition	condition	NOUN
fuelectenerg-3144	687	4	is	be	AUX
fuelectenerg-3144	687	5	not	not	PART
fuelectenerg-3144	687	6	satisfied	satisfied	ADJ
fuelectenerg-3144	687	7	,	,	PUNCT
fuelectenerg-3144	687	8	problems	problem	NOUN
fuelectenerg-3144	687	9	can	can	AUX
fuelectenerg-3144	687	10	arise	arise	VERB
fuelectenerg-3144	687	11	from	from	ADP
fuelectenerg-3144	687	12	the	the	DET
fuelectenerg-3144	687	13	fact	fact	NOUN
fuelectenerg-3144	687	14	that	that	SCONJ
fuelectenerg-3144	687	15	the	the	DET
fuelectenerg-3144	687	16	“	"	PUNCT
fuelectenerg-3144	687	17	functions	function	NOUN
fuelectenerg-3144	687	18	”	"	PUNCT
fuelectenerg-3144	687	19	δi	δi	PROPN
fuelectenerg-3144	687	20	are	be	AUX
fuelectenerg-3144	687	21	no	no	ADV
fuelectenerg-3144	687	22	longer	long	ADJ
fuelectenerg-3144	687	23	functions	function	NOUN
fuelectenerg-3144	687	24	in	in	ADP
fuelectenerg-3144	687	25	the	the	DET
fuelectenerg-3144	687	26	mathematical	mathematical	ADJ
fuelectenerg-3144	687	27	sense	sense	NOUN
fuelectenerg-3144	687	28	,	,	PUNCT
fuelectenerg-3144	687	29	but	but	CCONJ
fuelectenerg-3144	687	30	rather	rather	ADV
fuelectenerg-3144	687	31	relations	relation	NOUN
fuelectenerg-3144	687	32	or	or	CCONJ
fuelectenerg-3144	687	33	so	so	ADV
fuelectenerg-3144	687	34	-	-	PUNCT
fuelectenerg-3144	687	35	called	call	VERB
fuelectenerg-3144	687	36	incompletely	incompletely	ADV
fuelectenerg-3144	687	37	specified	specify	VERB
fuelectenerg-3144	687	38	functions	function	NOUN
fuelectenerg-3144	687	39	.	.	PUNCT
fuelectenerg-3144	688	1	in	in	ADP
fuelectenerg-3144	688	2	general	general	ADJ
fuelectenerg-3144	688	3	,	,	PUNCT
fuelectenerg-3144	688	4	when	when	SCONJ
fuelectenerg-3144	688	5	δi	δi	PROPN
fuelectenerg-3144	688	6	is	be	AUX
fuelectenerg-3144	688	7	incompletely	incompletely	ADV
fuelectenerg-3144	688	8	specified	specify	VERB
fuelectenerg-3144	688	9	,	,	PUNCT
fuelectenerg-3144	688	10	the	the	DET
fuelectenerg-3144	688	11	question	question	NOUN
fuelectenerg-3144	688	12	of	of	ADP
fuelectenerg-3144	688	13	whether	whether	SCONJ
fuelectenerg-3144	688	14	or	or	CCONJ
fuelectenerg-3144	688	15	19	19	NUM
fuelectenerg-3144	688	16	186	186	NUM
fuelectenerg-3144	688	17	e.	e.	PROPN
fuelectenerg-3144	688	18	tsai	tsai	PROPN
fuelectenerg-3144	688	19	,	,	PUNCT
fuelectenerg-3144	688	20	m.	m.	PROPN
fuelectenerg-3144	688	21	perkowski	perkowski	PROPN
fuelectenerg-3144	688	22	a	a	DET
fuelectenerg-3144	688	23	quantum	quantum	ADJ
fuelectenerg-3144	688	24	algorithm	algorithm	NOUN
fuelectenerg-3144	688	25	for	for	ADP
fuelectenerg-3144	688	26	automata	automata	NOUN
fuelectenerg-3144	688	27	encoding	encode	VERB
fuelectenerg-3144	688	28	187	187	NUM
fuelectenerg-3144	688	29	thus	thus	ADV
fuelectenerg-3144	688	30	,	,	PUNCT
fuelectenerg-3144	688	31	executing	execute	VERB
fuelectenerg-3144	688	32	grover	grover	PROPN
fuelectenerg-3144	688	33	’s	’s	PART
fuelectenerg-3144	688	34	algorithm	algorithm	NOUN
fuelectenerg-3144	688	35	using	use	VERB
fuelectenerg-3144	688	36	a	a	DET
fuelectenerg-3144	688	37	newly	newly	ADV
fuelectenerg-3144	688	38	-	-	PUNCT
fuelectenerg-3144	688	39	generated	generate	VERB
fuelectenerg-3144	688	40	quantum	quantum	ADJ
fuelectenerg-3144	688	41	oracle	oracle	NOUN
fuelectenerg-3144	688	42	simply	simply	ADV
fuelectenerg-3144	688	43	involves	involve	VERB
fuelectenerg-3144	688	44	having	have	VERB
fuelectenerg-3144	688	45	the	the	DET
fuelectenerg-3144	688	46	classical	classical	ADJ
fuelectenerg-3144	688	47	computer	computer	NOUN
fuelectenerg-3144	688	48	perform	perform	VERB
fuelectenerg-3144	688	49	the	the	DET
fuelectenerg-3144	688	50	appropriate	appropriate	ADJ
fuelectenerg-3144	688	51	,	,	PUNCT
fuelectenerg-3144	688	52	newly	newly	ADV
fuelectenerg-3144	688	53	-	-	PUNCT
fuelectenerg-3144	688	54	generated	generate	VERB
fuelectenerg-3144	688	55	sequence	sequence	NOUN
fuelectenerg-3144	688	56	of	of	ADP
fuelectenerg-3144	688	57	operations	operation	NOUN
fuelectenerg-3144	688	58	on	on	ADP
fuelectenerg-3144	688	59	the	the	DET
fuelectenerg-3144	688	60	quantum	quantum	ADJ
fuelectenerg-3144	688	61	hardware	hardware	NOUN
fuelectenerg-3144	688	62	.	.	PUNCT
fuelectenerg-3144	689	1	based	base	VERB
fuelectenerg-3144	689	2	on	on	ADP
fuelectenerg-3144	689	3	the	the	DET
fuelectenerg-3144	689	4	preceding	precede	VERB
fuelectenerg-3144	689	5	observations	observation	NOUN
fuelectenerg-3144	689	6	,	,	PUNCT
fuelectenerg-3144	689	7	we	we	PRON
fuelectenerg-3144	689	8	introduce	introduce	VERB
fuelectenerg-3144	689	9	a	a	DET
fuelectenerg-3144	689	10	distinction	distinction	NOUN
fuelectenerg-3144	689	11	between	between	ADP
fuelectenerg-3144	689	12	compile	compile	NOUN
fuelectenerg-3144	689	13	time	time	NOUN
fuelectenerg-3144	689	14	and	and	CCONJ
fuelectenerg-3144	689	15	run	run	VERB
fuelectenerg-3144	689	16	time	time	NOUN
fuelectenerg-3144	689	17	for	for	ADP
fuelectenerg-3144	689	18	quantum	quantum	ADJ
fuelectenerg-3144	689	19	circuits	circuit	NOUN
fuelectenerg-3144	689	20	.	.	PUNCT
fuelectenerg-3144	690	1	in	in	ADP
fuelectenerg-3144	690	2	classical	classical	ADJ
fuelectenerg-3144	690	3	computing	computing	NOUN
fuelectenerg-3144	690	4	,	,	PUNCT
fuelectenerg-3144	690	5	compile	compile	NOUN
fuelectenerg-3144	690	6	time	time	NOUN
fuelectenerg-3144	690	7	is	be	AUX
fuelectenerg-3144	690	8	the	the	DET
fuelectenerg-3144	690	9	time	time	NOUN
fuelectenerg-3144	690	10	at	at	ADP
fuelectenerg-3144	690	11	which	which	PRON
fuelectenerg-3144	690	12	instructions	instruction	NOUN
fuelectenerg-3144	690	13	for	for	ADP
fuelectenerg-3144	690	14	the	the	DET
fuelectenerg-3144	690	15	computer	computer	NOUN
fuelectenerg-3144	690	16	are	be	AUX
fuelectenerg-3144	690	17	generated	generate	VERB
fuelectenerg-3144	690	18	,	,	PUNCT
fuelectenerg-3144	690	19	while	while	SCONJ
fuelectenerg-3144	690	20	run	run	NOUN
fuelectenerg-3144	690	21	time	time	NOUN
fuelectenerg-3144	690	22	is	be	AUX
fuelectenerg-3144	690	23	the	the	DET
fuelectenerg-3144	690	24	time	time	NOUN
fuelectenerg-3144	690	25	at	at	ADP
fuelectenerg-3144	690	26	which	which	PRON
fuelectenerg-3144	690	27	those	those	DET
fuelectenerg-3144	690	28	instructions	instruction	NOUN
fuelectenerg-3144	690	29	are	be	AUX
fuelectenerg-3144	690	30	actually	actually	ADV
fuelectenerg-3144	690	31	executed	execute	VERB
fuelectenerg-3144	690	32	.	.	PUNCT
fuelectenerg-3144	691	1	by	by	ADP
fuelectenerg-3144	691	2	analogy	analogy	NOUN
fuelectenerg-3144	691	3	,	,	PUNCT
fuelectenerg-3144	691	4	compile	compile	NOUN
fuelectenerg-3144	691	5	time	time	NOUN
fuelectenerg-3144	691	6	of	of	ADP
fuelectenerg-3144	691	7	a	a	DET
fuelectenerg-3144	691	8	quantum	quantum	ADJ
fuelectenerg-3144	691	9	circuit	circuit	NOUN
fuelectenerg-3144	691	10	will	will	AUX
fuelectenerg-3144	691	11	refer	refer	VERB
fuelectenerg-3144	691	12	to	to	ADP
fuelectenerg-3144	691	13	the	the	DET
fuelectenerg-3144	691	14	generation	generation	NOUN
fuelectenerg-3144	691	15	process	process	NOUN
fuelectenerg-3144	691	16	of	of	ADP
fuelectenerg-3144	691	17	the	the	DET
fuelectenerg-3144	691	18	quantum	quantum	ADJ
fuelectenerg-3144	691	19	circuit	circuit	NOUN
fuelectenerg-3144	691	20	(	(	PUNCT
fuelectenerg-3144	691	21	which	which	PRON
fuelectenerg-3144	691	22	,	,	PUNCT
fuelectenerg-3144	691	23	as	as	SCONJ
fuelectenerg-3144	691	24	previously	previously	ADV
fuelectenerg-3144	691	25	noted	note	VERB
fuelectenerg-3144	691	26	,	,	PUNCT
fuelectenerg-3144	691	27	takes	take	VERB
fuelectenerg-3144	691	28	place	place	NOUN
fuelectenerg-3144	691	29	on	on	ADP
fuelectenerg-3144	691	30	a	a	DET
fuelectenerg-3144	691	31	classical	classical	ADJ
fuelectenerg-3144	691	32	computer	computer	NOUN
fuelectenerg-3144	691	33	)	)	PUNCT
fuelectenerg-3144	691	34	.	.	PUNCT
fuelectenerg-3144	692	1	run	run	VERB
fuelectenerg-3144	692	2	time	time	NOUN
fuelectenerg-3144	692	3	of	of	ADP
fuelectenerg-3144	692	4	a	a	DET
fuelectenerg-3144	692	5	quantum	quantum	ADJ
fuelectenerg-3144	692	6	circuit	circuit	NOUN
fuelectenerg-3144	692	7	,	,	PUNCT
fuelectenerg-3144	692	8	in	in	ADP
fuelectenerg-3144	692	9	contrast	contrast	NOUN
fuelectenerg-3144	692	10	,	,	PUNCT
fuelectenerg-3144	692	11	will	will	AUX
fuelectenerg-3144	692	12	refer	refer	VERB
fuelectenerg-3144	692	13	to	to	ADP
fuelectenerg-3144	692	14	the	the	DET
fuelectenerg-3144	692	15	process	process	NOUN
fuelectenerg-3144	692	16	of	of	ADP
fuelectenerg-3144	692	17	actually	actually	ADV
fuelectenerg-3144	692	18	executing	execute	VERB
fuelectenerg-3144	692	19	the	the	DET
fuelectenerg-3144	692	20	quantum	quantum	ADJ
fuelectenerg-3144	692	21	circuit	circuit	NOUN
fuelectenerg-3144	692	22	on	on	ADP
fuelectenerg-3144	692	23	quantum	quantum	ADJ
fuelectenerg-3144	692	24	hardware	hardware	NOUN
fuelectenerg-3144	692	25	(	(	PUNCT
fuelectenerg-3144	692	26	which	which	PRON
fuelectenerg-3144	692	27	,	,	PUNCT
fuelectenerg-3144	692	28	as	as	SCONJ
fuelectenerg-3144	692	29	also	also	ADV
fuelectenerg-3144	692	30	noted	note	VERB
fuelectenerg-3144	692	31	,	,	PUNCT
fuelectenerg-3144	692	32	involves	involve	VERB
fuelectenerg-3144	692	33	a	a	DET
fuelectenerg-3144	692	34	classical	classical	ADJ
fuelectenerg-3144	692	35	computer	computer	NOUN
fuelectenerg-3144	692	36	controlling	control	VERB
fuelectenerg-3144	692	37	the	the	DET
fuelectenerg-3144	692	38	quantum	quantum	ADJ
fuelectenerg-3144	692	39	hardware	hardware	NOUN
fuelectenerg-3144	692	40	with	with	ADP
fuelectenerg-3144	692	41	an	an	DET
fuelectenerg-3144	692	42	appropriate	appropriate	ADJ
fuelectenerg-3144	692	43	sequence	sequence	NOUN
fuelectenerg-3144	692	44	of	of	ADP
fuelectenerg-3144	692	45	commands	command	NOUN
fuelectenerg-3144	692	46	)	)	PUNCT
fuelectenerg-3144	692	47	.	.	PUNCT
fuelectenerg-3144	693	1	therefore	therefore	ADV
fuelectenerg-3144	693	2	,	,	PUNCT
fuelectenerg-3144	693	3	our	our	PRON
fuelectenerg-3144	693	4	objective	objective	NOUN
fuelectenerg-3144	693	5	in	in	ADP
fuelectenerg-3144	693	6	the	the	DET
fuelectenerg-3144	693	7	subsequent	subsequent	ADJ
fuelectenerg-3144	693	8	sections	section	NOUN
fuelectenerg-3144	693	9	of	of	ADP
fuelectenerg-3144	693	10	this	this	DET
fuelectenerg-3144	693	11	paper	paper	NOUN
fuelectenerg-3144	693	12	becomes	become	VERB
fuelectenerg-3144	693	13	:	:	PUNCT
fuelectenerg-3144	693	14	given	give	VERB
fuelectenerg-3144	693	15	an	an	DET
fuelectenerg-3144	693	16	fsm	fsm	PROPN
fuelectenerg-3144	693	17	specification	specification	NOUN
fuelectenerg-3144	693	18	,	,	PUNCT
fuelectenerg-3144	693	19	demonstrate	demonstrate	VERB
fuelectenerg-3144	693	20	a	a	DET
fuelectenerg-3144	693	21	procedure	procedure	NOUN
fuelectenerg-3144	693	22	that	that	PRON
fuelectenerg-3144	693	23	can	can	AUX
fuelectenerg-3144	693	24	generate	generate	VERB
fuelectenerg-3144	693	25	a	a	DET
fuelectenerg-3144	693	26	quantum	quantum	ADJ
fuelectenerg-3144	693	27	oracle	oracle	NOUN
fuelectenerg-3144	693	28	for	for	ADP
fuelectenerg-3144	693	29	an	an	DET
fuelectenerg-3144	693	30	arbitrary	arbitrary	ADJ
fuelectenerg-3144	693	31	threshold	threshold	NOUN
fuelectenerg-3144	693	32	value	value	NOUN
fuelectenerg-3144	693	33	r	r	NOUN
fuelectenerg-3144	693	34	,	,	PUNCT
fuelectenerg-3144	693	35	where	where	SCONJ
fuelectenerg-3144	693	36	the	the	DET
fuelectenerg-3144	693	37	quantum	quantum	ADJ
fuelectenerg-3144	693	38	oracle	oracle	NOUN
fuelectenerg-3144	693	39	accepts	accept	VERB
fuelectenerg-3144	693	40	as	as	ADP
fuelectenerg-3144	693	41	input	input	NOUN
fuelectenerg-3144	693	42	an	an	DET
fuelectenerg-3144	693	43	encoding	encoding	NOUN
fuelectenerg-3144	693	44	for	for	ADP
fuelectenerg-3144	693	45	the	the	DET
fuelectenerg-3144	693	46	fsm	fsm	PROPN
fuelectenerg-3144	693	47	and	and	CCONJ
fuelectenerg-3144	693	48	answers	answer	VERB
fuelectenerg-3144	693	49	the	the	DET
fuelectenerg-3144	693	50	question	question	NOUN
fuelectenerg-3144	693	51	“	"	PUNCT
fuelectenerg-3144	693	52	is	be	AUX
fuelectenerg-3144	693	53	the	the	DET
fuelectenerg-3144	693	54	cost	cost	NOUN
fuelectenerg-3144	693	55	of	of	ADP
fuelectenerg-3144	693	56	the	the	DET
fuelectenerg-3144	693	57	encoding	encoding	NOUN
fuelectenerg-3144	693	58	(	(	PUNCT
fuelectenerg-3144	693	59	as	as	SCONJ
fuelectenerg-3144	693	60	defined	define	VERB
fuelectenerg-3144	693	61	in	in	ADP
fuelectenerg-3144	693	62	section	section	NOUN
fuelectenerg-3144	693	63	2.2	2.2	NUM
fuelectenerg-3144	693	64	)	)	PUNCT
fuelectenerg-3144	693	65	less	less	ADJ
fuelectenerg-3144	693	66	than	than	ADP
fuelectenerg-3144	693	67	r	r	NOUN
fuelectenerg-3144	693	68	?	?	PUNCT
fuelectenerg-3144	693	69	”	"	PUNCT
fuelectenerg-3144	693	70	the	the	DET
fuelectenerg-3144	693	71	process	process	NOUN
fuelectenerg-3144	693	72	described	describe	VERB
fuelectenerg-3144	693	73	in	in	ADP
fuelectenerg-3144	693	74	this	this	DET
fuelectenerg-3144	693	75	section	section	NOUN
fuelectenerg-3144	693	76	then	then	ADV
fuelectenerg-3144	693	77	constitutes	constitute	VERB
fuelectenerg-3144	693	78	a	a	DET
fuelectenerg-3144	693	79	complete	complete	ADJ
fuelectenerg-3144	693	80	algorithm	algorithm	NOUN
fuelectenerg-3144	693	81	for	for	ADP
fuelectenerg-3144	693	82	finding	find	VERB
fuelectenerg-3144	693	83	an	an	DET
fuelectenerg-3144	693	84	encoding	encoding	NOUN
fuelectenerg-3144	693	85	for	for	ADP
fuelectenerg-3144	693	86	the	the	DET
fuelectenerg-3144	693	87	given	give	VERB
fuelectenerg-3144	693	88	fsm	fsm	PROPN
fuelectenerg-3144	693	89	with	with	ADP
fuelectenerg-3144	693	90	exact	exact	ADJ
fuelectenerg-3144	693	91	minimum	minimum	ADJ
fuelectenerg-3144	693	92	cost	cost	NOUN
fuelectenerg-3144	693	93	.	.	PUNCT
fuelectenerg-3144	694	1	4	4	NUM
fuelectenerg-3144	694	2	procedure	procedure	NOUN
fuelectenerg-3144	694	3	to	to	PART
fuelectenerg-3144	694	4	calculate	calculate	VERB
fuelectenerg-3144	694	5	the	the	DET
fuelectenerg-3144	694	6	cost	cost	NOUN
fuelectenerg-3144	694	7	of	of	ADP
fuelectenerg-3144	694	8	a	a	DET
fuelectenerg-3144	694	9	given	give	VERB
fuelectenerg-3144	694	10	encoding	encode	VERB
fuelectenerg-3144	694	11	4.1	4.1	NUM
fuelectenerg-3144	694	12	computing	computing	NOUN
fuelectenerg-3144	694	13	cost	cost	NOUN
fuelectenerg-3144	694	14	by	by	ADP
fuelectenerg-3144	694	15	considering	consider	VERB
fuelectenerg-3144	694	16	pairs	pair	NOUN
fuelectenerg-3144	694	17	of	of	ADP
fuelectenerg-3144	694	18	states	state	NOUN
fuelectenerg-3144	694	19	we	we	PRON
fuelectenerg-3144	694	20	now	now	ADV
fuelectenerg-3144	694	21	consider	consider	VERB
fuelectenerg-3144	694	22	a	a	DET
fuelectenerg-3144	694	23	systematic	systematic	ADJ
fuelectenerg-3144	694	24	procedure	procedure	NOUN
fuelectenerg-3144	694	25	for	for	ADP
fuelectenerg-3144	694	26	computing	compute	VERB
fuelectenerg-3144	694	27	the	the	DET
fuelectenerg-3144	694	28	cost	cost	NOUN
fuelectenerg-3144	694	29	,	,	PUNCT
fuelectenerg-3144	694	30	as	as	SCONJ
fuelectenerg-3144	694	31	defined	define	VERB
fuelectenerg-3144	694	32	in	in	ADP
fuelectenerg-3144	694	33	section	section	NOUN
fuelectenerg-3144	694	34	2.2	2.2	NUM
fuelectenerg-3144	694	35	,	,	PUNCT
fuelectenerg-3144	694	36	of	of	ADP
fuelectenerg-3144	694	37	a	a	DET
fuelectenerg-3144	694	38	given	give	VERB
fuelectenerg-3144	694	39	encoding	encoding	NOUN
fuelectenerg-3144	694	40	for	for	ADP
fuelectenerg-3144	694	41	a	a	DET
fuelectenerg-3144	694	42	given	give	VERB
fuelectenerg-3144	694	43	fsm	fsm	PROPN
fuelectenerg-3144	694	44	.	.	PUNCT
fuelectenerg-3144	695	1	this	this	DET
fuelectenerg-3144	695	2	procedure	procedure	NOUN
fuelectenerg-3144	695	3	will	will	AUX
fuelectenerg-3144	695	4	form	form	VERB
fuelectenerg-3144	695	5	the	the	DET
fuelectenerg-3144	695	6	basis	basis	NOUN
fuelectenerg-3144	695	7	for	for	ADP
fuelectenerg-3144	695	8	the	the	DET
fuelectenerg-3144	695	9	design	design	NOUN
fuelectenerg-3144	695	10	of	of	ADP
fuelectenerg-3144	695	11	a	a	DET
fuelectenerg-3144	695	12	quantum	quantum	ADJ
fuelectenerg-3144	695	13	oracle	oracle	NOUN
fuelectenerg-3144	695	14	that	that	PRON
fuelectenerg-3144	695	15	determines	determine	VERB
fuelectenerg-3144	695	16	whether	whether	SCONJ
fuelectenerg-3144	695	17	the	the	DET
fuelectenerg-3144	695	18	cost	cost	NOUN
fuelectenerg-3144	695	19	of	of	ADP
fuelectenerg-3144	695	20	a	a	DET
fuelectenerg-3144	695	21	given	give	VERB
fuelectenerg-3144	695	22	encoding	encoding	NOUN
fuelectenerg-3144	695	23	is	be	AUX
fuelectenerg-3144	695	24	less	less	ADJ
fuelectenerg-3144	695	25	than	than	ADP
fuelectenerg-3144	695	26	a	a	DET
fuelectenerg-3144	695	27	predetermined	predetermine	VERB
fuelectenerg-3144	695	28	threshold	threshold	NOUN
fuelectenerg-3144	695	29	,	,	PUNCT
fuelectenerg-3144	695	30	therefore	therefore	ADV
fuelectenerg-3144	695	31	allowing	allow	VERB
fuelectenerg-3144	695	32	the	the	DET
fuelectenerg-3144	695	33	use	use	NOUN
fuelectenerg-3144	695	34	of	of	ADP
fuelectenerg-3144	695	35	grover	grover	NOUN
fuelectenerg-3144	695	36	’s	’s	PART
fuelectenerg-3144	695	37	algorithm	algorithm	NOUN
fuelectenerg-3144	695	38	to	to	PART
fuelectenerg-3144	695	39	find	find	VERB
fuelectenerg-3144	695	40	the	the	DET
fuelectenerg-3144	695	41	exact	exact	ADJ
fuelectenerg-3144	695	42	minimum	minimum	ADJ
fuelectenerg-3144	695	43	-	-	PUNCT
fuelectenerg-3144	695	44	cost	cost	NOUN
fuelectenerg-3144	695	45	encoding	encoding	NOUN
fuelectenerg-3144	695	46	for	for	ADP
fuelectenerg-3144	695	47	an	an	DET
fuelectenerg-3144	695	48	fsm	fsm	PROPN
fuelectenerg-3144	695	49	.	.	PUNCT
fuelectenerg-3144	696	1	to	to	PART
fuelectenerg-3144	696	2	calculate	calculate	VERB
fuelectenerg-3144	696	3	the	the	DET
fuelectenerg-3144	696	4	cost	cost	NOUN
fuelectenerg-3144	696	5	of	of	ADP
fuelectenerg-3144	696	6	a	a	DET
fuelectenerg-3144	696	7	given	give	VERB
fuelectenerg-3144	696	8	encoding	encoding	NOUN
fuelectenerg-3144	696	9	,	,	PUNCT
fuelectenerg-3144	696	10	we	we	PRON
fuelectenerg-3144	696	11	require	require	VERB
fuelectenerg-3144	696	12	a	a	DET
fuelectenerg-3144	696	13	method	method	NOUN
fuelectenerg-3144	696	14	to	to	PART
fuelectenerg-3144	696	15	determine	determine	VERB
fuelectenerg-3144	696	16	whether	whether	SCONJ
fuelectenerg-3144	696	17	the	the	DET
fuelectenerg-3144	696	18	value	value	NOUN
fuelectenerg-3144	696	19	of	of	ADP
fuelectenerg-3144	696	20	a	a	DET
fuelectenerg-3144	696	21	given	give	VERB
fuelectenerg-3144	696	22	state	state	NOUN
fuelectenerg-3144	696	23	variable	variable	NOUN
fuelectenerg-3144	696	24	,	,	PUNCT
fuelectenerg-3144	696	25	say	say	VERB
fuelectenerg-3144	696	26	qi	qi	PROPN
fuelectenerg-3144	696	27	,	,	PUNCT
fuelectenerg-3144	696	28	at	at	ADP
fuelectenerg-3144	696	29	time	time	NOUN
fuelectenerg-3144	696	30	t	t	NOUN
fuelectenerg-3144	696	31	+	+	CCONJ
fuelectenerg-3144	696	32	1	1	NUM
fuelectenerg-3144	696	33	depends	depend	VERB
fuelectenerg-3144	696	34	on	on	ADP
fuelectenerg-3144	696	35	the	the	DET
fuelectenerg-3144	696	36	value	value	NOUN
fuelectenerg-3144	696	37	of	of	ADP
fuelectenerg-3144	696	38	any	any	DET
fuelectenerg-3144	696	39	(	(	PUNCT
fuelectenerg-3144	696	40	possibly	possibly	ADV
fuelectenerg-3144	696	41	the	the	DET
fuelectenerg-3144	696	42	same	same	ADJ
fuelectenerg-3144	696	43	or	or	CCONJ
fuelectenerg-3144	696	44	different	different	ADJ
fuelectenerg-3144	696	45	)	)	PUNCT
fuelectenerg-3144	696	46	state	state	NOUN
fuelectenerg-3144	696	47	variable	variable	NOUN
fuelectenerg-3144	696	48	,	,	PUNCT
fuelectenerg-3144	696	49	say	say	VERB
fuelectenerg-3144	696	50	qj	qj	PROPN
fuelectenerg-3144	696	51	,	,	PUNCT
fuelectenerg-3144	696	52	at	at	ADP
fuelectenerg-3144	696	53	time	time	NOUN
fuelectenerg-3144	696	54	t.	t.	NOUN
fuelectenerg-3144	696	55	by	by	ADP
fuelectenerg-3144	696	56	definition	definition	NOUN
fuelectenerg-3144	696	57	,	,	PUNCT
fuelectenerg-3144	696	58	the	the	DET
fuelectenerg-3144	696	59	value	value	NOUN
fuelectenerg-3144	696	60	of	of	ADP
fuelectenerg-3144	696	61	qi	qi	PROPN
fuelectenerg-3144	696	62	at	at	ADP
fuelectenerg-3144	696	63	time	time	NOUN
fuelectenerg-3144	696	64	t+	t+	NOUN
fuelectenerg-3144	696	65	1	1	NUM
fuelectenerg-3144	696	66	is	be	AUX
fuelectenerg-3144	696	67	given	give	VERB
fuelectenerg-3144	696	68	by	by	ADP
fuelectenerg-3144	696	69	the	the	DET
fuelectenerg-3144	696	70	function	function	NOUN
fuelectenerg-3144	696	71	δi	δi	ADV
fuelectenerg-3144	696	72	;	;	PUNCT
fuelectenerg-3144	696	73	thus	thus	ADV
fuelectenerg-3144	696	74	,	,	PUNCT
fuelectenerg-3144	696	75	q+	q+	ADV
fuelectenerg-3144	696	76	i	i	NOUN
fuelectenerg-3144	696	77	=	=	NOUN
fuelectenerg-3144	696	78	δi(q1	δi(q1	PROPN
fuelectenerg-3144	696	79	,	,	PUNCT
fuelectenerg-3144	696	80	.	.	PUNCT
fuelectenerg-3144	696	81	.	.	PUNCT
fuelectenerg-3144	697	1	.	.	PUNCT
fuelectenerg-3144	698	1	,	,	PUNCT
fuelectenerg-3144	698	2	qn	qn	INTJ
fuelectenerg-3144	698	3	,	,	PUNCT
fuelectenerg-3144	698	4	x1	x1	PROPN
fuelectenerg-3144	698	5	,	,	PUNCT
fuelectenerg-3144	698	6	.	.	PUNCT
fuelectenerg-3144	698	7	.	.	PUNCT
fuelectenerg-3144	699	1	.	.	PUNCT
fuelectenerg-3144	700	1	,	,	PUNCT
fuelectenerg-3144	700	2	xm	xm	PROPN
fuelectenerg-3144	700	3	)	)	PUNCT
fuelectenerg-3144	700	4	where	where	SCONJ
fuelectenerg-3144	700	5	n	n	NUM
fuelectenerg-3144	700	6	and	and	CCONJ
fuelectenerg-3144	700	7	m	m	PROPN
fuelectenerg-3144	700	8	are	be	AUX
fuelectenerg-3144	700	9	the	the	DET
fuelectenerg-3144	700	10	number	number	NOUN
fuelectenerg-3144	700	11	of	of	ADP
fuelectenerg-3144	700	12	state	state	NOUN
fuelectenerg-3144	700	13	and	and	CCONJ
fuelectenerg-3144	700	14	input	input	NOUN
fuelectenerg-3144	700	15	variables	variable	NOUN
fuelectenerg-3144	700	16	,	,	PUNCT
fuelectenerg-3144	700	17	respectively	respectively	ADV
fuelectenerg-3144	700	18	.	.	PUNCT
fuelectenerg-3144	701	1	now	now	ADV
fuelectenerg-3144	701	2	,	,	PUNCT
fuelectenerg-3144	701	3	q+	q+	ADV
fuelectenerg-3144	701	4	i	i	PRON
fuelectenerg-3144	701	5	only	only	ADV
fuelectenerg-3144	701	6	depends	depend	VERB
fuelectenerg-3144	701	7	on	on	ADP
fuelectenerg-3144	701	8	qj	qj	PROPN
fuelectenerg-3144	701	9	if	if	SCONJ
fuelectenerg-3144	701	10	,	,	PUNCT
fuelectenerg-3144	701	11	in	in	ADP
fuelectenerg-3144	701	12	at	at	ADV
fuelectenerg-3144	701	13	least	least	ADV
fuelectenerg-3144	701	14	one	one	NUM
fuelectenerg-3144	701	15	case	case	NOUN
fuelectenerg-3144	701	16	,	,	PUNCT
fuelectenerg-3144	701	17	a	a	DET
fuelectenerg-3144	701	18	change	change	NOUN
fuelectenerg-3144	701	19	in	in	ADP
fuelectenerg-3144	701	20	qj	qj	PROPN
fuelectenerg-3144	701	21	and	and	CCONJ
fuelectenerg-3144	701	22	in	in	ADP
fuelectenerg-3144	701	23	no	no	DET
fuelectenerg-3144	701	24	other	other	ADJ
fuelectenerg-3144	701	25	variables	variable	NOUN
fuelectenerg-3144	701	26	causes	cause	VERB
fuelectenerg-3144	701	27	a	a	DET
fuelectenerg-3144	701	28	change	change	NOUN
fuelectenerg-3144	701	29	in	in	ADP
fuelectenerg-3144	701	30	q+	q+	ADV
fuelectenerg-3144	701	31	i	i	PRON
fuelectenerg-3144	701	32	.	.	PUNCT
fuelectenerg-3144	702	1	in	in	ADP
fuelectenerg-3144	702	2	other	other	ADJ
fuelectenerg-3144	702	3	words	word	NOUN
fuelectenerg-3144	702	4	,	,	PUNCT
fuelectenerg-3144	702	5	if	if	SCONJ
fuelectenerg-3144	702	6	there	there	PRON
fuelectenerg-3144	702	7	exist	exist	VERB
fuelectenerg-3144	702	8	distinct	distinct	ADJ
fuelectenerg-3144	702	9	states	state	NOUN
fuelectenerg-3144	702	10	s	s	NOUN
fuelectenerg-3144	702	11	,	,	PUNCT
fuelectenerg-3144	702	12	s′	s′	PUNCT
fuelectenerg-3144	702	13	and	and	CCONJ
fuelectenerg-3144	702	14	an	an	DET
fuelectenerg-3144	702	15	input	input	NOUN
fuelectenerg-3144	702	16	value	value	NOUN
fuelectenerg-3144	702	17	i	i	PRON
fuelectenerg-3144	702	18	such	such	ADJ
fuelectenerg-3144	702	19	that	that	SCONJ
fuelectenerg-3144	702	20	qj	qj	PROPN
fuelectenerg-3144	702	21	is	be	AUX
fuelectenerg-3144	702	22	the	the	DET
fuelectenerg-3144	702	23	only	only	ADJ
fuelectenerg-3144	702	24	state	state	NOUN
fuelectenerg-3144	702	25	variable	variable	NOUN
fuelectenerg-3144	702	26	assigned	assign	VERB
fuelectenerg-3144	702	27	different	different	ADJ
fuelectenerg-3144	702	28	values	value	NOUN
fuelectenerg-3144	702	29	for	for	ADP
fuelectenerg-3144	702	30	s	s	NOUN
fuelectenerg-3144	702	31	and	and	CCONJ
fuelectenerg-3144	702	32	s′	s′	NOUN
fuelectenerg-3144	702	33	,	,	PUNCT
fuelectenerg-3144	702	34	and	and	CCONJ
fuelectenerg-3144	702	35	qi	qi	PROPN
fuelectenerg-3144	702	36	is	be	AUX
fuelectenerg-3144	702	37	assigned	assign	VERB
fuelectenerg-3144	702	38	different	different	ADJ
fuelectenerg-3144	702	39	values	value	NOUN
fuelectenerg-3144	702	40	for	for	ADP
fuelectenerg-3144	702	41	δ(s	δ(s	PROPN
fuelectenerg-3144	702	42	,	,	PUNCT
fuelectenerg-3144	702	43	i	i	NOUN
fuelectenerg-3144	702	44	)	)	PUNCT
fuelectenerg-3144	702	45	and	and	CCONJ
fuelectenerg-3144	702	46	δ(s′	δ(s′	PROPN
fuelectenerg-3144	702	47	,	,	PUNCT
fuelectenerg-3144	702	48	i	i	PROPN
fuelectenerg-3144	702	49	)	)	PUNCT
fuelectenerg-3144	702	50	,	,	PUNCT
fuelectenerg-3144	702	51	then	then	ADV
fuelectenerg-3144	702	52	q+	q+	ADV
fuelectenerg-3144	702	53	i	i	PRON
fuelectenerg-3144	702	54	depends	depend	VERB
fuelectenerg-3144	702	55	on	on	ADP
fuelectenerg-3144	702	56	qj	qj	PROPN
fuelectenerg-3144	702	57	.	.	PUNCT
fuelectenerg-3144	703	1	18	18	NUM
fuelectenerg-3144	703	2	as	as	ADP
fuelectenerg-3144	703	3	an	an	DET
fuelectenerg-3144	703	4	example	example	NOUN
fuelectenerg-3144	703	5	,	,	PUNCT
fuelectenerg-3144	703	6	consider	consider	VERB
fuelectenerg-3144	703	7	the	the	DET
fuelectenerg-3144	703	8	state	state	NOUN
fuelectenerg-3144	703	9	machine	machine	NOUN
fuelectenerg-3144	703	10	from	from	ADP
fuelectenerg-3144	703	11	figure	figure	NOUN
fuelectenerg-3144	703	12	2	2	NUM
fuelectenerg-3144	703	13	and	and	CCONJ
fuelectenerg-3144	703	14	the	the	DET
fuelectenerg-3144	703	15	encoding	encoding	NOUN
fuelectenerg-3144	703	16	in	in	ADP
fuelectenerg-3144	703	17	figure	figure	NOUN
fuelectenerg-3144	703	18	2(b	2(b	NUM
fuelectenerg-3144	703	19	)	)	PUNCT
fuelectenerg-3144	703	20	.	.	PUNCT
fuelectenerg-3144	704	1	the	the	DET
fuelectenerg-3144	704	2	encoded	encode	VERB
fuelectenerg-3144	704	3	transition	transition	NOUN
fuelectenerg-3144	704	4	function	function	NOUN
fuelectenerg-3144	704	5	q+	q+	ADP
fuelectenerg-3144	704	6	1	1	NUM
fuelectenerg-3144	704	7	=	=	SYM
fuelectenerg-3144	704	8	δ1(q1	δ1(q1	NOUN
fuelectenerg-3144	704	9	,	,	PUNCT
fuelectenerg-3144	704	10	q2	q2	NOUN
fuelectenerg-3144	704	11	,	,	PUNCT
fuelectenerg-3144	704	12	x1	x1	PROPN
fuelectenerg-3144	704	13	,	,	PUNCT
fuelectenerg-3144	704	14	x2	x2	PROPN
fuelectenerg-3144	704	15	)	)	PUNCT
fuelectenerg-3144	704	16	resulting	result	VERB
fuelectenerg-3144	704	17	from	from	ADP
fuelectenerg-3144	704	18	this	this	DET
fuelectenerg-3144	704	19	encoding	encoding	NOUN
fuelectenerg-3144	704	20	,	,	PUNCT
fuelectenerg-3144	704	21	shown	show	VERB
fuelectenerg-3144	704	22	in	in	ADP
fuelectenerg-3144	704	23	figure	figure	NOUN
fuelectenerg-3144	704	24	2(c	2(c	NUM
fuelectenerg-3144	704	25	)	)	PUNCT
fuelectenerg-3144	704	26	,	,	PUNCT
fuelectenerg-3144	704	27	depends	depend	VERB
fuelectenerg-3144	704	28	on	on	ADP
fuelectenerg-3144	704	29	all	all	DET
fuelectenerg-3144	704	30	four	four	NUM
fuelectenerg-3144	704	31	variables	variable	NOUN
fuelectenerg-3144	704	32	.	.	PUNCT
fuelectenerg-3144	705	1	the	the	DET
fuelectenerg-3144	705	2	dependency	dependency	NOUN
fuelectenerg-3144	705	3	on	on	ADP
fuelectenerg-3144	705	4	q1	q1	PROPN
fuelectenerg-3144	705	5	can	can	AUX
fuelectenerg-3144	705	6	be	be	AUX
fuelectenerg-3144	705	7	seen	see	VERB
fuelectenerg-3144	705	8	from	from	ADP
fuelectenerg-3144	705	9	the	the	DET
fuelectenerg-3144	705	10	fact	fact	NOUN
fuelectenerg-3144	705	11	that	that	SCONJ
fuelectenerg-3144	705	12	δ1(0	δ1(0	PROPN
fuelectenerg-3144	705	13	,	,	PUNCT
fuelectenerg-3144	705	14	0	0	NUM
fuelectenerg-3144	705	15	,	,	PUNCT
fuelectenerg-3144	705	16	0	0	NUM
fuelectenerg-3144	705	17	,	,	PUNCT
fuelectenerg-3144	705	18	1	1	NUM
fuelectenerg-3144	705	19	)	)	PUNCT
fuelectenerg-3144	705	20	=	=	SYM
fuelectenerg-3144	705	21	0	0	NUM
fuelectenerg-3144	705	22	but	but	CCONJ
fuelectenerg-3144	705	23	δ1(1	δ1(1	PROPN
fuelectenerg-3144	705	24	,	,	PUNCT
fuelectenerg-3144	705	25	0	0	NUM
fuelectenerg-3144	705	26	,	,	PUNCT
fuelectenerg-3144	705	27	0	0	NUM
fuelectenerg-3144	705	28	,	,	PUNCT
fuelectenerg-3144	705	29	1	1	NUM
fuelectenerg-3144	705	30	)	)	PUNCT
fuelectenerg-3144	705	31	=	=	SYM
fuelectenerg-3144	705	32	1	1	NUM
fuelectenerg-3144	705	33	;	;	PUNCT
fuelectenerg-3144	705	34	i.e.	i.e.	X
fuelectenerg-3144	705	35	,	,	PUNCT
fuelectenerg-3144	705	36	a	a	DET
fuelectenerg-3144	705	37	change	change	NOUN
fuelectenerg-3144	705	38	in	in	ADP
fuelectenerg-3144	705	39	only	only	ADJ
fuelectenerg-3144	705	40	q1	q1	NOUN
fuelectenerg-3144	705	41	causes	cause	VERB
fuelectenerg-3144	705	42	a	a	DET
fuelectenerg-3144	705	43	change	change	NOUN
fuelectenerg-3144	705	44	in	in	ADP
fuelectenerg-3144	705	45	δ1	δ1	NOUN
fuelectenerg-3144	705	46	.	.	PUNCT
fuelectenerg-3144	706	1	in	in	ADP
fuelectenerg-3144	706	2	terms	term	NOUN
fuelectenerg-3144	706	3	of	of	ADP
fuelectenerg-3144	706	4	states	state	NOUN
fuelectenerg-3144	706	5	and	and	CCONJ
fuelectenerg-3144	706	6	input	input	NOUN
fuelectenerg-3144	706	7	values	value	NOUN
fuelectenerg-3144	706	8	,	,	PUNCT
fuelectenerg-3144	706	9	q1q2	q1q2	NOUN
fuelectenerg-3144	706	10	=	=	SYM
fuelectenerg-3144	706	11	00	00	NUM
fuelectenerg-3144	706	12	corresponds	correspond	VERB
fuelectenerg-3144	706	13	to	to	ADP
fuelectenerg-3144	706	14	a	a	DET
fuelectenerg-3144	706	15	current	current	ADJ
fuelectenerg-3144	706	16	state	state	NOUN
fuelectenerg-3144	706	17	of	of	ADP
fuelectenerg-3144	706	18	s1	s1	PROPN
fuelectenerg-3144	706	19	and	and	CCONJ
fuelectenerg-3144	706	20	q1q2	q1q2	ADJ
fuelectenerg-3144	706	21	=	=	NOUN
fuelectenerg-3144	706	22	10	10	NUM
fuelectenerg-3144	706	23	corresponds	correspond	NOUN
fuelectenerg-3144	706	24	to	to	ADP
fuelectenerg-3144	706	25	s3	s3	PROPN
fuelectenerg-3144	706	26	.	.	PUNCT
fuelectenerg-3144	707	1	we	we	PRON
fuelectenerg-3144	707	2	then	then	ADV
fuelectenerg-3144	707	3	see	see	VERB
fuelectenerg-3144	707	4	that	that	SCONJ
fuelectenerg-3144	707	5	given	give	VERB
fuelectenerg-3144	707	6	the	the	DET
fuelectenerg-3144	707	7	pair	pair	NOUN
fuelectenerg-3144	707	8	of	of	ADP
fuelectenerg-3144	707	9	states	state	NOUN
fuelectenerg-3144	707	10	(	(	PUNCT
fuelectenerg-3144	707	11	s1	s1	NOUN
fuelectenerg-3144	707	12	,	,	PUNCT
fuelectenerg-3144	707	13	s3	s3	PROPN
fuelectenerg-3144	707	14	)	)	PUNCT
fuelectenerg-3144	707	15	,	,	PUNCT
fuelectenerg-3144	707	16	whose	whose	DET
fuelectenerg-3144	707	17	encodings	encoding	NOUN
fuelectenerg-3144	707	18	differ	differ	VERB
fuelectenerg-3144	707	19	only	only	ADV
fuelectenerg-3144	707	20	in	in	ADP
fuelectenerg-3144	707	21	q1	q1	PROPN
fuelectenerg-3144	707	22	,	,	PUNCT
fuelectenerg-3144	707	23	for	for	ADP
fuelectenerg-3144	707	24	at	at	ADV
fuelectenerg-3144	707	25	least	least	ADV
fuelectenerg-3144	707	26	one	one	NUM
fuelectenerg-3144	707	27	input	input	NOUN
fuelectenerg-3144	707	28	value	value	NOUN
fuelectenerg-3144	707	29	—	—	PUNCT
fuelectenerg-3144	707	30	in	in	ADP
fuelectenerg-3144	707	31	this	this	DET
fuelectenerg-3144	707	32	case	case	NOUN
fuelectenerg-3144	707	33	,	,	PUNCT
fuelectenerg-3144	707	34	i2	i2	PROPN
fuelectenerg-3144	707	35	,	,	PUNCT
fuelectenerg-3144	707	36	which	which	PRON
fuelectenerg-3144	707	37	corresponds	correspond	VERB
fuelectenerg-3144	707	38	to	to	ADP
fuelectenerg-3144	707	39	x1x2	x1x2	PUNCT
fuelectenerg-3144	708	1	=	=	SYM
fuelectenerg-3144	708	2	01	01	NUM
fuelectenerg-3144	708	3	—	—	PUNCT
fuelectenerg-3144	708	4	the	the	DET
fuelectenerg-3144	708	5	corresponding	correspond	VERB
fuelectenerg-3144	708	6	pair	pair	NOUN
fuelectenerg-3144	708	7	of	of	ADP
fuelectenerg-3144	708	8	next	next	ADJ
fuelectenerg-3144	708	9	states	state	NOUN
fuelectenerg-3144	708	10	,	,	PUNCT
fuelectenerg-3144	708	11	(	(	PUNCT
fuelectenerg-3144	708	12	s2	s2	PROPN
fuelectenerg-3144	708	13	,	,	PUNCT
fuelectenerg-3144	708	14	s3	s3	PROPN
fuelectenerg-3144	708	15	)	)	PUNCT
fuelectenerg-3144	708	16	,	,	PUNCT
fuelectenerg-3144	708	17	is	be	AUX
fuelectenerg-3144	708	18	such	such	ADJ
fuelectenerg-3144	708	19	that	that	SCONJ
fuelectenerg-3144	708	20	the	the	DET
fuelectenerg-3144	708	21	value	value	NOUN
fuelectenerg-3144	708	22	of	of	ADP
fuelectenerg-3144	708	23	q1	q1	PROPN
fuelectenerg-3144	708	24	differs	differ	NOUN
fuelectenerg-3144	708	25	between	between	ADP
fuelectenerg-3144	708	26	the	the	DET
fuelectenerg-3144	708	27	two	two	NUM
fuelectenerg-3144	708	28	states	state	NOUN
fuelectenerg-3144	708	29	in	in	ADP
fuelectenerg-3144	708	30	the	the	DET
fuelectenerg-3144	708	31	pair	pair	NOUN
fuelectenerg-3144	708	32	.	.	PUNCT
fuelectenerg-3144	709	1	the	the	DET
fuelectenerg-3144	709	2	result	result	NOUN
fuelectenerg-3144	709	3	of	of	ADP
fuelectenerg-3144	709	4	the	the	DET
fuelectenerg-3144	709	5	preceding	precede	VERB
fuelectenerg-3144	709	6	discussion	discussion	NOUN
fuelectenerg-3144	709	7	may	may	AUX
fuelectenerg-3144	709	8	be	be	AUX
fuelectenerg-3144	709	9	more	more	ADV
fuelectenerg-3144	709	10	formally	formally	ADV
fuelectenerg-3144	709	11	expressed	express	VERB
fuelectenerg-3144	709	12	as	as	SCONJ
fuelectenerg-3144	709	13	follows	follow	VERB
fuelectenerg-3144	709	14	.	.	PUNCT
fuelectenerg-3144	710	1	for	for	ADP
fuelectenerg-3144	710	2	any	any	DET
fuelectenerg-3144	710	3	two	two	NUM
fuelectenerg-3144	710	4	distinct	distinct	ADJ
fuelectenerg-3144	710	5	states	state	NOUN
fuelectenerg-3144	710	6	s	s	PART
fuelectenerg-3144	710	7	and	and	CCONJ
fuelectenerg-3144	710	8	s′	s′	NOUN
fuelectenerg-3144	710	9	,	,	PUNCT
fuelectenerg-3144	710	10	let	let	VERB
fuelectenerg-3144	710	11	dj(s	dj(s	NOUN
fuelectenerg-3144	710	12	,	,	PUNCT
fuelectenerg-3144	710	13	s	s	NOUN
fuelectenerg-3144	710	14	′	′	NOUN
fuelectenerg-3144	710	15	)	)	PUNCT
fuelectenerg-3144	710	16	mean	mean	NOUN
fuelectenerg-3144	710	17	“	"	PUNCT
fuelectenerg-3144	710	18	the	the	DET
fuelectenerg-3144	710	19	encodings	encoding	NOUN
fuelectenerg-3144	710	20	of	of	ADP
fuelectenerg-3144	710	21	s	s	PRON
fuelectenerg-3144	710	22	and	and	CCONJ
fuelectenerg-3144	710	23	s′	s′	NOUN
fuelectenerg-3144	710	24	differ	differ	VERB
fuelectenerg-3144	710	25	only	only	ADV
fuelectenerg-3144	710	26	in	in	ADP
fuelectenerg-3144	710	27	the	the	DET
fuelectenerg-3144	710	28	value	value	NOUN
fuelectenerg-3144	710	29	of	of	ADP
fuelectenerg-3144	710	30	qj	qj	PROPN
fuelectenerg-3144	710	31	”	"	PUNCT
fuelectenerg-3144	710	32	and	and	CCONJ
fuelectenerg-3144	710	33	let	let	VERB
fuelectenerg-3144	710	34	ai(s	ai(s	PRON
fuelectenerg-3144	710	35	,	,	PUNCT
fuelectenerg-3144	710	36	s	s	PART
fuelectenerg-3144	710	37	′	′	NOUN
fuelectenerg-3144	710	38	)	)	PUNCT
fuelectenerg-3144	710	39	mean	mean	NOUN
fuelectenerg-3144	710	40	“	"	PUNCT
fuelectenerg-3144	710	41	the	the	DET
fuelectenerg-3144	710	42	encodings	encoding	NOUN
fuelectenerg-3144	710	43	of	of	ADP
fuelectenerg-3144	710	44	s	s	PRON
fuelectenerg-3144	710	45	and	and	CCONJ
fuelectenerg-3144	710	46	s′	s′	NOUN
fuelectenerg-3144	710	47	agree	agree	VERB
fuelectenerg-3144	710	48	in	in	ADP
fuelectenerg-3144	710	49	the	the	DET
fuelectenerg-3144	710	50	value	value	NOUN
fuelectenerg-3144	710	51	of	of	ADP
fuelectenerg-3144	710	52	qi	qi	PROPN
fuelectenerg-3144	710	53	”	"	PUNCT
fuelectenerg-3144	710	54	.	.	PUNCT
fuelectenerg-3144	711	1	then	then	ADV
fuelectenerg-3144	711	2	,	,	PUNCT
fuelectenerg-3144	711	3	check	check	VERB
fuelectenerg-3144	711	4	whether	whether	SCONJ
fuelectenerg-3144	711	5	dj(s	dj(s	NOUN
fuelectenerg-3144	711	6	,	,	PUNCT
fuelectenerg-3144	711	7	s	s	NOUN
fuelectenerg-3144	711	8	′	′	NOUN
fuelectenerg-3144	711	9	)	)	PUNCT
fuelectenerg-3144	711	10	⇒	⇒	VERB
fuelectenerg-3144	711	11	∀i	∀i	NOUN
fuelectenerg-3144	711	12	∈	∈	X
fuelectenerg-3144	711	13	i	i	PRON
fuelectenerg-3144	711	14	ai(δ(s	ai(δ(s	PROPN
fuelectenerg-3144	711	15	,	,	PUNCT
fuelectenerg-3144	711	16	i	i	PROPN
fuelectenerg-3144	711	17	)	)	PUNCT
fuelectenerg-3144	711	18	,	,	PUNCT
fuelectenerg-3144	711	19	δ(s	δ(s	PROPN
fuelectenerg-3144	711	20	′	′	NUM
fuelectenerg-3144	711	21	,	,	PUNCT
fuelectenerg-3144	711	22	i	i	NOUN
fuelectenerg-3144	711	23	)	)	PUNCT
fuelectenerg-3144	711	24	)	)	PUNCT
fuelectenerg-3144	712	1	(	(	PUNCT
fuelectenerg-3144	712	2	1	1	X
fuelectenerg-3144	712	3	)	)	PUNCT
fuelectenerg-3144	712	4	for	for	ADP
fuelectenerg-3144	712	5	all	all	DET
fuelectenerg-3144	712	6	pairs	pair	NOUN
fuelectenerg-3144	712	7	of	of	ADP
fuelectenerg-3144	712	8	distinct	distinct	ADJ
fuelectenerg-3144	712	9	states	state	NOUN
fuelectenerg-3144	712	10	(	(	PUNCT
fuelectenerg-3144	712	11	s	s	PROPN
fuelectenerg-3144	712	12	,	,	PUNCT
fuelectenerg-3144	712	13	s′	s′	NOUN
fuelectenerg-3144	712	14	)	)	PUNCT
fuelectenerg-3144	712	15	.	.	PUNCT
fuelectenerg-3144	713	1	if	if	SCONJ
fuelectenerg-3144	713	2	so	so	ADV
fuelectenerg-3144	713	3	,	,	PUNCT
fuelectenerg-3144	713	4	then	then	ADV
fuelectenerg-3144	713	5	q+	q+	ADV
fuelectenerg-3144	713	6	i	i	PRON
fuelectenerg-3144	713	7	does	do	AUX
fuelectenerg-3144	713	8	not	not	PART
fuelectenerg-3144	713	9	depend	depend	VERB
fuelectenerg-3144	713	10	on	on	ADP
fuelectenerg-3144	713	11	qj	qj	PROPN
fuelectenerg-3144	713	12	;	;	PUNCT
fuelectenerg-3144	713	13	otherwise	otherwise	ADV
fuelectenerg-3144	713	14	,	,	PUNCT
fuelectenerg-3144	713	15	it	it	PRON
fuelectenerg-3144	713	16	does	do	VERB
fuelectenerg-3144	713	17	.	.	PUNCT
fuelectenerg-3144	714	1	we	we	PRON
fuelectenerg-3144	714	2	determine	determine	VERB
fuelectenerg-3144	714	3	the	the	DET
fuelectenerg-3144	714	4	dependency	dependency	NOUN
fuelectenerg-3144	714	5	of	of	ADP
fuelectenerg-3144	714	6	a	a	DET
fuelectenerg-3144	714	7	given	give	VERB
fuelectenerg-3144	714	8	q+	q+	ADV
fuelectenerg-3144	714	9	i	i	PRON
fuelectenerg-3144	714	10	on	on	ADP
fuelectenerg-3144	714	11	an	an	DET
fuelectenerg-3144	714	12	input	input	NOUN
fuelectenerg-3144	714	13	variable	variable	NOUN
fuelectenerg-3144	714	14	xj	xj	PROPN
fuelectenerg-3144	714	15	in	in	ADP
fuelectenerg-3144	714	16	a	a	DET
fuelectenerg-3144	714	17	similar	similar	ADJ
fuelectenerg-3144	714	18	manner	manner	NOUN
fuelectenerg-3144	714	19	.	.	PUNCT
fuelectenerg-3144	715	1	specifically	specifically	ADV
fuelectenerg-3144	715	2	,	,	PUNCT
fuelectenerg-3144	715	3	q+	q+	ADV
fuelectenerg-3144	715	4	i	i	PRON
fuelectenerg-3144	715	5	depends	depend	VERB
fuelectenerg-3144	715	6	on	on	ADP
fuelectenerg-3144	715	7	xj	xj	NOUN
fuelectenerg-3144	715	8	if	if	SCONJ
fuelectenerg-3144	715	9	and	and	CCONJ
fuelectenerg-3144	715	10	only	only	ADV
fuelectenerg-3144	715	11	if	if	SCONJ
fuelectenerg-3144	715	12	,	,	PUNCT
fuelectenerg-3144	715	13	in	in	ADP
fuelectenerg-3144	715	14	at	at	ADV
fuelectenerg-3144	715	15	least	least	ADV
fuelectenerg-3144	715	16	one	one	NUM
fuelectenerg-3144	715	17	case	case	NOUN
fuelectenerg-3144	715	18	,	,	PUNCT
fuelectenerg-3144	715	19	a	a	DET
fuelectenerg-3144	715	20	change	change	NOUN
fuelectenerg-3144	715	21	in	in	ADP
fuelectenerg-3144	715	22	xj	xj	PROPN
fuelectenerg-3144	715	23	and	and	CCONJ
fuelectenerg-3144	715	24	in	in	ADP
fuelectenerg-3144	715	25	no	no	DET
fuelectenerg-3144	715	26	other	other	ADJ
fuelectenerg-3144	715	27	state	state	NOUN
fuelectenerg-3144	715	28	or	or	CCONJ
fuelectenerg-3144	715	29	input	input	NOUN
fuelectenerg-3144	715	30	variables	variable	NOUN
fuelectenerg-3144	715	31	causes	cause	VERB
fuelectenerg-3144	715	32	a	a	DET
fuelectenerg-3144	715	33	change	change	NOUN
fuelectenerg-3144	715	34	in	in	ADP
fuelectenerg-3144	715	35	q+	q+	ADV
fuelectenerg-3144	715	36	i	i	PRON
fuelectenerg-3144	715	37	.	.	PUNCT
fuelectenerg-3144	716	1	therefore	therefore	ADV
fuelectenerg-3144	716	2	,	,	PUNCT
fuelectenerg-3144	716	3	we	we	PRON
fuelectenerg-3144	716	4	consider	consider	VERB
fuelectenerg-3144	716	5	all	all	DET
fuelectenerg-3144	716	6	pairs	pair	NOUN
fuelectenerg-3144	716	7	of	of	ADP
fuelectenerg-3144	716	8	distinct	distinct	ADJ
fuelectenerg-3144	716	9	input	input	NOUN
fuelectenerg-3144	716	10	values	value	NOUN
fuelectenerg-3144	716	11	and	and	CCONJ
fuelectenerg-3144	716	12	determine	determine	VERB
fuelectenerg-3144	716	13	whether	whether	SCONJ
fuelectenerg-3144	716	14	,	,	PUNCT
fuelectenerg-3144	716	15	for	for	ADP
fuelectenerg-3144	716	16	those	those	DET
fuelectenerg-3144	716	17	pairs	pair	NOUN
fuelectenerg-3144	716	18	whose	whose	DET
fuelectenerg-3144	716	19	encodings	encoding	NOUN
fuelectenerg-3144	716	20	differ	differ	VERB
fuelectenerg-3144	716	21	only	only	ADV
fuelectenerg-3144	716	22	in	in	ADP
fuelectenerg-3144	716	23	xj	xj	PROPN
fuelectenerg-3144	716	24	,	,	PUNCT
fuelectenerg-3144	716	25	the	the	DET
fuelectenerg-3144	716	26	encodings	encoding	NOUN
fuelectenerg-3144	716	27	of	of	ADP
fuelectenerg-3144	716	28	the	the	DET
fuelectenerg-3144	716	29	corresponding	correspond	VERB
fuelectenerg-3144	716	30	pair	pair	NOUN
fuelectenerg-3144	716	31	of	of	ADP
fuelectenerg-3144	716	32	next	next	ADJ
fuelectenerg-3144	716	33	states	state	NOUN
fuelectenerg-3144	716	34	can	can	AUX
fuelectenerg-3144	716	35	ever	ever	ADV
fuelectenerg-3144	716	36	differ	differ	VERB
fuelectenerg-3144	716	37	in	in	ADP
fuelectenerg-3144	716	38	qi	qi	PROPN
fuelectenerg-3144	716	39	.	.	PUNCT
fuelectenerg-3144	717	1	in	in	ADP
fuelectenerg-3144	717	2	other	other	ADJ
fuelectenerg-3144	717	3	words	word	NOUN
fuelectenerg-3144	717	4	,	,	PUNCT
fuelectenerg-3144	717	5	for	for	ADP
fuelectenerg-3144	717	6	any	any	DET
fuelectenerg-3144	717	7	two	two	NUM
fuelectenerg-3144	717	8	distinct	distinct	ADJ
fuelectenerg-3144	717	9	input	input	NOUN
fuelectenerg-3144	717	10	values	value	NOUN
fuelectenerg-3144	717	11	i	i	PRON
fuelectenerg-3144	717	12	and	and	CCONJ
fuelectenerg-3144	717	13	i′	i′	NOUN
fuelectenerg-3144	717	14	,	,	PUNCT
fuelectenerg-3144	717	15	let	let	VERB
fuelectenerg-3144	717	16	dj(i	dj(i	NOUN
fuelectenerg-3144	717	17	,	,	PUNCT
fuelectenerg-3144	717	18	i	i	PRON
fuelectenerg-3144	717	19	′	′	VERB
fuelectenerg-3144	717	20	)	)	PUNCT
fuelectenerg-3144	717	21	mean	mean	VERB
fuelectenerg-3144	717	22	“	"	PUNCT
fuelectenerg-3144	717	23	the	the	DET
fuelectenerg-3144	717	24	encodings	encoding	NOUN
fuelectenerg-3144	717	25	of	of	ADP
fuelectenerg-3144	717	26	i	i	PRON
fuelectenerg-3144	717	27	and	and	CCONJ
fuelectenerg-3144	717	28	i′	i′	NOUN
fuelectenerg-3144	717	29	differ	differ	VERB
fuelectenerg-3144	717	30	only	only	ADV
fuelectenerg-3144	717	31	in	in	ADP
fuelectenerg-3144	717	32	the	the	DET
fuelectenerg-3144	717	33	value	value	NOUN
fuelectenerg-3144	717	34	of	of	ADP
fuelectenerg-3144	717	35	xj	xj	NOUN
fuelectenerg-3144	717	36	”	"	PUNCT
fuelectenerg-3144	717	37	,	,	PUNCT
fuelectenerg-3144	717	38	and	and	CCONJ
fuelectenerg-3144	717	39	for	for	ADP
fuelectenerg-3144	717	40	any	any	DET
fuelectenerg-3144	717	41	two	two	NUM
fuelectenerg-3144	717	42	states	state	NOUN
fuelectenerg-3144	717	43	s	s	PART
fuelectenerg-3144	717	44	and	and	CCONJ
fuelectenerg-3144	717	45	s′	s′	NOUN
fuelectenerg-3144	717	46	,	,	PUNCT
fuelectenerg-3144	717	47	let	let	VERB
fuelectenerg-3144	717	48	ai(s	ai(s	PRON
fuelectenerg-3144	717	49	,	,	PUNCT
fuelectenerg-3144	717	50	s	s	PART
fuelectenerg-3144	717	51	′	′	NOUN
fuelectenerg-3144	717	52	)	)	PUNCT
fuelectenerg-3144	718	1	mean	mean	NOUN
fuelectenerg-3144	718	2	(	(	PUNCT
fuelectenerg-3144	718	3	as	as	ADP
fuelectenerg-3144	718	4	before	before	ADV
fuelectenerg-3144	718	5	)	)	PUNCT
fuelectenerg-3144	718	6	“	"	PUNCT
fuelectenerg-3144	718	7	the	the	DET
fuelectenerg-3144	718	8	encodings	encoding	NOUN
fuelectenerg-3144	718	9	of	of	ADP
fuelectenerg-3144	718	10	s	s	PRON
fuelectenerg-3144	718	11	and	and	CCONJ
fuelectenerg-3144	718	12	s′	s′	NOUN
fuelectenerg-3144	718	13	agree	agree	VERB
fuelectenerg-3144	718	14	in	in	ADP
fuelectenerg-3144	718	15	the	the	DET
fuelectenerg-3144	718	16	value	value	NOUN
fuelectenerg-3144	718	17	of	of	ADP
fuelectenerg-3144	718	18	qi	qi	PROPN
fuelectenerg-3144	718	19	”	"	PUNCT
fuelectenerg-3144	718	20	.	.	PUNCT
fuelectenerg-3144	719	1	then	then	ADV
fuelectenerg-3144	719	2	,	,	PUNCT
fuelectenerg-3144	719	3	we	we	PRON
fuelectenerg-3144	719	4	wish	wish	VERB
fuelectenerg-3144	719	5	to	to	PART
fuelectenerg-3144	719	6	check	check	VERB
fuelectenerg-3144	719	7	whether	whether	SCONJ
fuelectenerg-3144	719	8	the	the	DET
fuelectenerg-3144	719	9	condition	condition	NOUN
fuelectenerg-3144	719	10	dj(i	dj(i	VERB
fuelectenerg-3144	719	11	,	,	PUNCT
fuelectenerg-3144	719	12	i	i	PRON
fuelectenerg-3144	719	13	′	′	NOUN
fuelectenerg-3144	719	14	)	)	PUNCT
fuelectenerg-3144	719	15	⇒	⇒	NOUN
fuelectenerg-3144	719	16	∀s	∀s	PROPN
fuelectenerg-3144	719	17	∈	∈	PROPN
fuelectenerg-3144	719	18	s	s	PART
fuelectenerg-3144	719	19	ai(δ(s	ai(δ(s	PROPN
fuelectenerg-3144	719	20	,	,	PUNCT
fuelectenerg-3144	719	21	i	i	NOUN
fuelectenerg-3144	719	22	)	)	PUNCT
fuelectenerg-3144	719	23	,	,	PUNCT
fuelectenerg-3144	719	24	δ(s	δ(s	PROPN
fuelectenerg-3144	719	25	,	,	PUNCT
fuelectenerg-3144	719	26	i	i	PRON
fuelectenerg-3144	719	27	′	′	NOUN
fuelectenerg-3144	719	28	)	)	PUNCT
fuelectenerg-3144	719	29	)	)	PUNCT
fuelectenerg-3144	720	1	(	(	PUNCT
fuelectenerg-3144	720	2	2	2	X
fuelectenerg-3144	720	3	)	)	PUNCT
fuelectenerg-3144	720	4	holds	hold	VERB
fuelectenerg-3144	720	5	for	for	ADP
fuelectenerg-3144	720	6	every	every	DET
fuelectenerg-3144	720	7	pair	pair	NOUN
fuelectenerg-3144	720	8	of	of	ADP
fuelectenerg-3144	720	9	distinct	distinct	ADJ
fuelectenerg-3144	720	10	input	input	NOUN
fuelectenerg-3144	720	11	values	value	NOUN
fuelectenerg-3144	720	12	(	(	PUNCT
fuelectenerg-3144	720	13	i	i	NOUN
fuelectenerg-3144	720	14	,	,	PUNCT
fuelectenerg-3144	720	15	i′	i′	NOUN
fuelectenerg-3144	720	16	)	)	PUNCT
fuelectenerg-3144	720	17	.	.	PUNCT
fuelectenerg-3144	721	1	if	if	SCONJ
fuelectenerg-3144	721	2	so	so	ADV
fuelectenerg-3144	721	3	,	,	PUNCT
fuelectenerg-3144	721	4	q+	q+	ADV
fuelectenerg-3144	721	5	i	i	PRON
fuelectenerg-3144	721	6	does	do	AUX
fuelectenerg-3144	721	7	not	not	PART
fuelectenerg-3144	721	8	depend	depend	VERB
fuelectenerg-3144	721	9	on	on	ADP
fuelectenerg-3144	721	10	xj	xj	PROPN
fuelectenerg-3144	721	11	;	;	PUNCT
fuelectenerg-3144	721	12	otherwise	otherwise	ADV
fuelectenerg-3144	721	13	,	,	PUNCT
fuelectenerg-3144	721	14	it	it	PRON
fuelectenerg-3144	721	15	does	do	VERB
fuelectenerg-3144	721	16	.	.	PUNCT
fuelectenerg-3144	722	1	equipped	equip	VERB
fuelectenerg-3144	722	2	with	with	ADP
fuelectenerg-3144	722	3	a	a	DET
fuelectenerg-3144	722	4	procedure	procedure	NOUN
fuelectenerg-3144	722	5	to	to	PART
fuelectenerg-3144	722	6	determine	determine	VERB
fuelectenerg-3144	722	7	the	the	DET
fuelectenerg-3144	722	8	dependency	dependency	NOUN
fuelectenerg-3144	722	9	of	of	ADP
fuelectenerg-3144	722	10	a	a	DET
fuelectenerg-3144	722	11	given	give	VERB
fuelectenerg-3144	722	12	q+	q+	ADV
fuelectenerg-3144	722	13	i	i	PRON
fuelectenerg-3144	722	14	on	on	ADP
fuelectenerg-3144	722	15	any	any	DET
fuelectenerg-3144	722	16	single	single	ADJ
fuelectenerg-3144	722	17	state	state	NOUN
fuelectenerg-3144	722	18	or	or	CCONJ
fuelectenerg-3144	722	19	input	input	NOUN
fuelectenerg-3144	722	20	variable	variable	NOUN
fuelectenerg-3144	722	21	,	,	PUNCT
fuelectenerg-3144	722	22	it	it	PRON
fuelectenerg-3144	722	23	is	be	AUX
fuelectenerg-3144	722	24	now	now	ADV
fuelectenerg-3144	722	25	straightforward	straightforward	ADJ
fuelectenerg-3144	722	26	to	to	PART
fuelectenerg-3144	722	27	compute	compute	VERB
fuelectenerg-3144	722	28	the	the	DET
fuelectenerg-3144	722	29	total	total	ADJ
fuelectenerg-3144	722	30	cost	cost	NOUN
fuelectenerg-3144	722	31	of	of	ADP
fuelectenerg-3144	722	32	an	an	DET
fuelectenerg-3144	722	33	encoding	encoding	NOUN
fuelectenerg-3144	722	34	.	.	PUNCT
fuelectenerg-3144	723	1	we	we	PRON
fuelectenerg-3144	723	2	calculate	calculate	VERB
fuelectenerg-3144	723	3	the	the	DET
fuelectenerg-3144	723	4	cost	cost	NOUN
fuelectenerg-3144	723	5	of	of	ADP
fuelectenerg-3144	723	6	each	each	PRON
fuelectenerg-3144	723	7	q+	q+	PUNCT
fuelectenerg-3144	723	8	i	i	PRON
fuelectenerg-3144	723	9	in	in	ADP
fuelectenerg-3144	723	10	accordance	accordance	NOUN
fuelectenerg-3144	723	11	with	with	ADP
fuelectenerg-3144	723	12	our	our	PRON
fuelectenerg-3144	723	13	cost	cost	NOUN
fuelectenerg-3144	723	14	model	model	NOUN
fuelectenerg-3144	723	15	—	—	PUNCT
fuelectenerg-3144	723	16	the	the	DET
fuelectenerg-3144	723	17	total	total	ADJ
fuelectenerg-3144	723	18	number	number	NOUN
fuelectenerg-3144	723	19	of	of	ADP
fuelectenerg-3144	723	20	state	state	NOUN
fuelectenerg-3144	723	21	and	and	CCONJ
fuelectenerg-3144	723	22	input	input	NOUN
fuelectenerg-3144	723	23	variables	variable	NOUN
fuelectenerg-3144	723	24	on	on	ADP
fuelectenerg-3144	723	25	which	which	PRON
fuelectenerg-3144	723	26	q+	q+	ADP
fuelectenerg-3144	723	27	i	i	PRON
fuelectenerg-3144	723	28	depends	depend	VERB
fuelectenerg-3144	723	29	gives	give	VERB
fuelectenerg-3144	723	30	the	the	DET
fuelectenerg-3144	723	31	cost	cost	NOUN
fuelectenerg-3144	723	32	of	of	ADP
fuelectenerg-3144	723	33	q+	q+	ADP
fuelectenerg-3144	723	34	i	i	PRON
fuelectenerg-3144	723	35	.	.	PUNCT
fuelectenerg-3144	724	1	then	then	ADV
fuelectenerg-3144	724	2	,	,	PUNCT
fuelectenerg-3144	724	3	the	the	DET
fuelectenerg-3144	724	4	sum	sum	NOUN
fuelectenerg-3144	724	5	of	of	ADP
fuelectenerg-3144	724	6	costs	cost	NOUN
fuelectenerg-3144	724	7	of	of	ADP
fuelectenerg-3144	724	8	q+	q+	ADP
fuelectenerg-3144	724	9	i	i	PRON
fuelectenerg-3144	724	10	for	for	ADP
fuelectenerg-3144	724	11	1	1	NUM
fuelectenerg-3144	724	12	≤	≤	NUM
fuelectenerg-3144	724	13	i	i	PRON
fuelectenerg-3144	724	14	≤	≤	NOUN
fuelectenerg-3144	724	15	n	n	VERB
fuelectenerg-3144	724	16	gives	give	VERB
fuelectenerg-3144	724	17	the	the	DET
fuelectenerg-3144	724	18	total	total	ADJ
fuelectenerg-3144	724	19	cost	cost	NOUN
fuelectenerg-3144	724	20	of	of	ADP
fuelectenerg-3144	724	21	a	a	DET
fuelectenerg-3144	724	22	given	give	VERB
fuelectenerg-3144	724	23	encoding	encoding	NOUN
fuelectenerg-3144	724	24	.	.	PUNCT
fuelectenerg-3144	725	1	4.2	4.2	NUM
fuelectenerg-3144	725	2	necessity	necessity	NOUN
fuelectenerg-3144	725	3	for	for	ADP
fuelectenerg-3144	725	4	transition	transition	NOUN
fuelectenerg-3144	725	5	functions	function	NOUN
fuelectenerg-3144	725	6	to	to	PART
fuelectenerg-3144	725	7	be	be	AUX
fuelectenerg-3144	725	8	completely	completely	ADV
fuelectenerg-3144	725	9	specified	specify	VERB
fuelectenerg-3144	725	10	the	the	DET
fuelectenerg-3144	725	11	just	just	ADV
fuelectenerg-3144	725	12	-	-	PUNCT
fuelectenerg-3144	725	13	described	describe	VERB
fuelectenerg-3144	725	14	procedure	procedure	NOUN
fuelectenerg-3144	725	15	only	only	ADV
fuelectenerg-3144	725	16	gives	give	VERB
fuelectenerg-3144	725	17	the	the	DET
fuelectenerg-3144	725	18	correct	correct	ADJ
fuelectenerg-3144	725	19	cost	cost	NOUN
fuelectenerg-3144	725	20	if	if	SCONJ
fuelectenerg-3144	725	21	the	the	DET
fuelectenerg-3144	725	22	encoding	encoding	NOUN
fuelectenerg-3144	725	23	is	be	AUX
fuelectenerg-3144	725	24	bijective	bijective	ADJ
fuelectenerg-3144	725	25	.	.	PUNCT
fuelectenerg-3144	726	1	if	if	SCONJ
fuelectenerg-3144	726	2	this	this	DET
fuelectenerg-3144	726	3	condition	condition	NOUN
fuelectenerg-3144	726	4	is	be	AUX
fuelectenerg-3144	726	5	not	not	PART
fuelectenerg-3144	726	6	satisfied	satisfied	ADJ
fuelectenerg-3144	726	7	,	,	PUNCT
fuelectenerg-3144	726	8	problems	problem	NOUN
fuelectenerg-3144	726	9	can	can	AUX
fuelectenerg-3144	726	10	arise	arise	VERB
fuelectenerg-3144	726	11	from	from	ADP
fuelectenerg-3144	726	12	the	the	DET
fuelectenerg-3144	726	13	fact	fact	NOUN
fuelectenerg-3144	726	14	that	that	SCONJ
fuelectenerg-3144	726	15	the	the	DET
fuelectenerg-3144	726	16	“	"	PUNCT
fuelectenerg-3144	726	17	functions	function	NOUN
fuelectenerg-3144	726	18	”	"	PUNCT
fuelectenerg-3144	726	19	δi	δi	PROPN
fuelectenerg-3144	726	20	are	be	AUX
fuelectenerg-3144	726	21	no	no	ADV
fuelectenerg-3144	726	22	longer	long	ADJ
fuelectenerg-3144	726	23	functions	function	NOUN
fuelectenerg-3144	726	24	in	in	ADP
fuelectenerg-3144	726	25	the	the	DET
fuelectenerg-3144	726	26	mathematical	mathematical	ADJ
fuelectenerg-3144	726	27	sense	sense	NOUN
fuelectenerg-3144	726	28	,	,	PUNCT
fuelectenerg-3144	726	29	but	but	CCONJ
fuelectenerg-3144	726	30	rather	rather	ADV
fuelectenerg-3144	726	31	relations	relation	NOUN
fuelectenerg-3144	726	32	or	or	CCONJ
fuelectenerg-3144	726	33	so	so	ADV
fuelectenerg-3144	726	34	-	-	PUNCT
fuelectenerg-3144	726	35	called	call	VERB
fuelectenerg-3144	726	36	incompletely	incompletely	ADV
fuelectenerg-3144	726	37	specified	specify	VERB
fuelectenerg-3144	726	38	functions	function	NOUN
fuelectenerg-3144	726	39	.	.	PUNCT
fuelectenerg-3144	727	1	in	in	ADP
fuelectenerg-3144	727	2	general	general	ADJ
fuelectenerg-3144	727	3	,	,	PUNCT
fuelectenerg-3144	727	4	when	when	SCONJ
fuelectenerg-3144	727	5	δi	δi	PROPN
fuelectenerg-3144	727	6	is	be	AUX
fuelectenerg-3144	727	7	incompletely	incompletely	ADV
fuelectenerg-3144	727	8	specified	specify	VERB
fuelectenerg-3144	727	9	,	,	PUNCT
fuelectenerg-3144	727	10	the	the	DET
fuelectenerg-3144	727	11	question	question	NOUN
fuelectenerg-3144	727	12	of	of	ADP
fuelectenerg-3144	727	13	whether	whether	SCONJ
fuelectenerg-3144	727	14	or	or	CCONJ
fuelectenerg-3144	727	15	19	19	NUM
fuelectenerg-3144	727	16	186	186	NUM
fuelectenerg-3144	727	17	e.	e.	PROPN
fuelectenerg-3144	727	18	tsai	tsai	PROPN
fuelectenerg-3144	727	19	,	,	PUNCT
fuelectenerg-3144	727	20	m.	m.	PROPN
fuelectenerg-3144	727	21	perkowski	perkowski	PROPN
fuelectenerg-3144	727	22	a	a	DET
fuelectenerg-3144	727	23	quantum	quantum	ADJ
fuelectenerg-3144	727	24	algorithm	algorithm	NOUN
fuelectenerg-3144	727	25	for	for	ADP
fuelectenerg-3144	727	26	automata	automata	NOUN
fuelectenerg-3144	727	27	encoding	encode	VERB
fuelectenerg-3144	727	28	187	187	NUM
fuelectenerg-3144	727	29	i1	i1	PROPN
fuelectenerg-3144	727	30	i2	i2	PROPN
fuelectenerg-3144	727	31	i3	i3	PROPN
fuelectenerg-3144	727	32	s1	s1	PROPN
fuelectenerg-3144	727	33	s2	s2	PROPN
fuelectenerg-3144	727	34	s3	s3	PROPN
fuelectenerg-3144	727	35	s4	s4	PROPN
fuelectenerg-3144	727	36	s5	s5	PROPN
fuelectenerg-3144	727	37	s2	s2	PROPN
fuelectenerg-3144	727	38	s4	s4	PROPN
fuelectenerg-3144	727	39	s5	s5	PROPN
fuelectenerg-3144	727	40	s1	s1	PROPN
fuelectenerg-3144	727	41	s1	s1	PROPN
fuelectenerg-3144	727	42	s1	s1	PROPN
fuelectenerg-3144	727	43	s3	s3	PROPN
fuelectenerg-3144	727	44	s3	s3	PROPN
fuelectenerg-3144	727	45	s1	s1	PROPN
fuelectenerg-3144	727	46	s3	s3	PROPN
fuelectenerg-3144	727	47	s3	s3	PROPN
fuelectenerg-3144	727	48	s3	s3	PROPN
fuelectenerg-3144	727	49	s1	s1	PROPN
fuelectenerg-3144	727	50	s3	s3	PROPN
fuelectenerg-3144	727	51	s1	s1	PROPN
fuelectenerg-3144	727	52	(	(	PUNCT
fuelectenerg-3144	727	53	a	a	NOUN
fuelectenerg-3144	727	54	)	)	PUNCT
fuelectenerg-3144	727	55	q1q2q3s	q1q2q3s	PROPN
fuelectenerg-3144	727	56	s1	s1	NOUN
fuelectenerg-3144	727	57	0	0	NUM
fuelectenerg-3144	727	58	0	0	SYM
fuelectenerg-3144	727	59	0	0	NUM
fuelectenerg-3144	727	60	s2	s2	NOUN
fuelectenerg-3144	727	61	0	0	NUM
fuelectenerg-3144	727	62	1	1	NUM
fuelectenerg-3144	727	63	1	1	NUM
fuelectenerg-3144	727	64	s3	s3	NOUN
fuelectenerg-3144	727	65	1	1	NUM
fuelectenerg-3144	727	66	0	0	NUM
fuelectenerg-3144	727	67	1	1	NUM
fuelectenerg-3144	727	68	s4	s4	NOUN
fuelectenerg-3144	727	69	1	1	NUM
fuelectenerg-3144	727	70	1	1	NUM
fuelectenerg-3144	727	71	0	0	NUM
fuelectenerg-3144	727	72	s5	s5	NOUN
fuelectenerg-3144	727	73	1	1	NUM
fuelectenerg-3144	727	74	1	1	NUM
fuelectenerg-3144	727	75	1	1	NUM
fuelectenerg-3144	727	76	x1	x1	PROPN
fuelectenerg-3144	727	77	x2i	x2i	PROPN
fuelectenerg-3144	727	78	i1	i1	PROPN
fuelectenerg-3144	727	79	0	0	NUM
fuelectenerg-3144	728	1	0	0	NUM
fuelectenerg-3144	728	2	i2	i2	NOUN
fuelectenerg-3144	728	3	0	0	NUM
fuelectenerg-3144	728	4	1	1	NUM
fuelectenerg-3144	728	5	i3	i3	NOUN
fuelectenerg-3144	728	6	1	1	NUM
fuelectenerg-3144	728	7	0	0	NUM
fuelectenerg-3144	728	8	(	(	PUNCT
fuelectenerg-3144	728	9	b	b	NOUN
fuelectenerg-3144	728	10	)	)	PUNCT
fuelectenerg-3144	728	11	1	1	NUM
fuelectenerg-3144	728	12	−	−	NOUN
fuelectenerg-3144	729	1	−	−	NOUN
fuelectenerg-3144	730	1	−	−	NUM
fuelectenerg-3144	730	2	0	0	NUM
fuelectenerg-3144	730	3	0	0	NUM
fuelectenerg-3144	730	4	0	0	NUM
fuelectenerg-3144	730	5	0	0	NUM
fuelectenerg-3144	730	6	1	1	NUM
fuelectenerg-3144	730	7	−	−	NOUN
fuelectenerg-3144	730	8	−	−	NOUN
fuelectenerg-3144	731	1	−	−	NUM
fuelectenerg-3144	731	2	0	0	NUM
fuelectenerg-3144	731	3	0	0	NUM
fuelectenerg-3144	731	4	0	0	NUM
fuelectenerg-3144	731	5	0	0	NUM
fuelectenerg-3144	731	6	1	1	NUM
fuelectenerg-3144	731	7	−	−	NOUN
fuelectenerg-3144	731	8	−	−	NOUN
fuelectenerg-3144	732	1	−	−	NUM
fuelectenerg-3144	732	2	0	0	NUM
fuelectenerg-3144	732	3	0	0	NUM
fuelectenerg-3144	732	4	0	0	NUM
fuelectenerg-3144	732	5	0	0	NUM
fuelectenerg-3144	733	1	−	−	NOUN
fuelectenerg-3144	733	2	−	−	PROPN
fuelectenerg-3144	733	3	−	−	PROPN
fuelectenerg-3144	733	4	−	−	PROPN
fuelectenerg-3144	733	5	−	−	PROPN
fuelectenerg-3144	733	6	−	−	PROPN
fuelectenerg-3144	734	1	−	−	NOUN
fuelectenerg-3144	734	2	−	−	NOUN
fuelectenerg-3144	734	3	00	00	NUM
fuelectenerg-3144	734	4	01	01	NUM
fuelectenerg-3144	734	5	11	11	NUM
fuelectenerg-3144	734	6	10	10	NUM
fuelectenerg-3144	734	7	000	000	NUM
fuelectenerg-3144	734	8	001	001	NUM
fuelectenerg-3144	734	9	011	011	NUM
fuelectenerg-3144	734	10	010	010	NUM
fuelectenerg-3144	734	11	110	110	NUM
fuelectenerg-3144	734	12	111	111	NUM
fuelectenerg-3144	734	13	101	101	NUM
fuelectenerg-3144	734	14	100	100	NUM
fuelectenerg-3144	735	1	q1q2q3	q1q2q3	PRON
fuelectenerg-3144	735	2	x1x2	x1x2	PUNCT
fuelectenerg-3144	735	3	(	(	PUNCT
fuelectenerg-3144	735	4	c	c	X
fuelectenerg-3144	735	5	)	)	PUNCT
fuelectenerg-3144	735	6	figure	figure	NOUN
fuelectenerg-3144	735	7	9	9	NUM
fuelectenerg-3144	735	8	:	:	PUNCT
fuelectenerg-3144	735	9	(	(	PUNCT
fuelectenerg-3144	735	10	a	a	X
fuelectenerg-3144	735	11	)	)	PUNCT
fuelectenerg-3144	735	12	fsm	fsm	PROPN
fuelectenerg-3144	735	13	specification	specification	NOUN
fuelectenerg-3144	735	14	with	with	ADP
fuelectenerg-3144	735	15	numbers	number	NOUN
fuelectenerg-3144	735	16	of	of	ADP
fuelectenerg-3144	735	17	states	state	NOUN
fuelectenerg-3144	735	18	and	and	CCONJ
fuelectenerg-3144	735	19	inputs	input	NOUN
fuelectenerg-3144	735	20	not	not	PART
fuelectenerg-3144	735	21	powers	power	NOUN
fuelectenerg-3144	735	22	of	of	ADP
fuelectenerg-3144	735	23	2	2	NUM
fuelectenerg-3144	735	24	;	;	PUNCT
fuelectenerg-3144	735	25	(	(	PUNCT
fuelectenerg-3144	735	26	b	b	X
fuelectenerg-3144	735	27	)	)	PUNCT
fuelectenerg-3144	735	28	a	a	DET
fuelectenerg-3144	735	29	possible	possible	ADJ
fuelectenerg-3144	735	30	encoding	encoding	NOUN
fuelectenerg-3144	735	31	;	;	PUNCT
fuelectenerg-3144	735	32	(	(	PUNCT
fuelectenerg-3144	735	33	c	c	X
fuelectenerg-3144	735	34	)	)	PUNCT
fuelectenerg-3144	735	35	resulting	result	VERB
fuelectenerg-3144	735	36	form	form	NOUN
fuelectenerg-3144	735	37	of	of	ADP
fuelectenerg-3144	735	38	q+	q+	ADP
fuelectenerg-3144	735	39	2	2	NUM
fuelectenerg-3144	735	40	.	.	PUNCT
fuelectenerg-3144	736	1	not	not	PART
fuelectenerg-3144	736	2	δi	δi	VERB
fuelectenerg-3144	736	3	depends	depend	VERB
fuelectenerg-3144	736	4	on	on	ADP
fuelectenerg-3144	736	5	a	a	DET
fuelectenerg-3144	736	6	given	give	VERB
fuelectenerg-3144	736	7	variable	variable	NOUN
fuelectenerg-3144	736	8	can	can	AUX
fuelectenerg-3144	736	9	not	not	PART
fuelectenerg-3144	736	10	be	be	AUX
fuelectenerg-3144	736	11	answered	answer	VERB
fuelectenerg-3144	736	12	by	by	ADP
fuelectenerg-3144	736	13	the	the	DET
fuelectenerg-3144	736	14	simple	simple	ADJ
fuelectenerg-3144	736	15	procedure	procedure	NOUN
fuelectenerg-3144	736	16	described	describe	VERB
fuelectenerg-3144	736	17	above	above	ADV
fuelectenerg-3144	736	18	.	.	PUNCT
fuelectenerg-3144	737	1	figure	figure	NOUN
fuelectenerg-3144	737	2	9	9	NUM
fuelectenerg-3144	737	3	illustrates	illustrate	VERB
fuelectenerg-3144	737	4	an	an	DET
fuelectenerg-3144	737	5	instance	instance	NOUN
fuelectenerg-3144	737	6	where	where	SCONJ
fuelectenerg-3144	737	7	the	the	DET
fuelectenerg-3144	737	8	procedure	procedure	NOUN
fuelectenerg-3144	737	9	from	from	ADP
fuelectenerg-3144	737	10	the	the	DET
fuelectenerg-3144	737	11	previous	previous	ADJ
fuelectenerg-3144	737	12	section	section	NOUN
fuelectenerg-3144	737	13	fails	fail	VERB
fuelectenerg-3144	737	14	to	to	PART
fuelectenerg-3144	737	15	correctly	correctly	ADV
fuelectenerg-3144	737	16	determine	determine	VERB
fuelectenerg-3144	737	17	the	the	DET
fuelectenerg-3144	737	18	dependencies	dependency	NOUN
fuelectenerg-3144	737	19	of	of	ADP
fuelectenerg-3144	737	20	a	a	DET
fuelectenerg-3144	737	21	function	function	NOUN
fuelectenerg-3144	737	22	δi	δi	NOUN
fuelectenerg-3144	737	23	on	on	ADP
fuelectenerg-3144	737	24	q1	q1	PROPN
fuelectenerg-3144	737	25	through	through	ADP
fuelectenerg-3144	737	26	qn	qn	PROPN
fuelectenerg-3144	737	27	and	and	CCONJ
fuelectenerg-3144	737	28	x1	x1	NUM
fuelectenerg-3144	737	29	through	through	ADP
fuelectenerg-3144	737	30	xm	xm	PROPN
fuelectenerg-3144	737	31	.	.	PUNCT
fuelectenerg-3144	738	1	in	in	ADP
fuelectenerg-3144	738	2	this	this	DET
fuelectenerg-3144	738	3	figure	figure	NOUN
fuelectenerg-3144	738	4	we	we	PRON
fuelectenerg-3144	738	5	have	have	VERB
fuelectenerg-3144	738	6	a	a	DET
fuelectenerg-3144	738	7	state	state	NOUN
fuelectenerg-3144	738	8	machine	machine	NOUN
fuelectenerg-3144	738	9	where	where	SCONJ
fuelectenerg-3144	738	10	the	the	DET
fuelectenerg-3144	738	11	number	number	NOUN
fuelectenerg-3144	738	12	of	of	ADP
fuelectenerg-3144	738	13	states	state	NOUN
fuelectenerg-3144	738	14	(	(	PUNCT
fuelectenerg-3144	738	15	5	5	NUM
fuelectenerg-3144	738	16	)	)	PUNCT
fuelectenerg-3144	738	17	is	be	AUX
fuelectenerg-3144	738	18	not	not	PART
fuelectenerg-3144	738	19	a	a	DET
fuelectenerg-3144	738	20	power	power	NOUN
fuelectenerg-3144	738	21	of	of	ADP
fuelectenerg-3144	738	22	two	two	NUM
fuelectenerg-3144	738	23	.	.	PUNCT
fuelectenerg-3144	739	1	consequently	consequently	ADV
fuelectenerg-3144	739	2	,	,	PUNCT
fuelectenerg-3144	739	3	we	we	PRON
fuelectenerg-3144	739	4	require	require	VERB
fuelectenerg-3144	739	5	at	at	ADV
fuelectenerg-3144	739	6	least	least	ADV
fuelectenerg-3144	739	7	three	three	NUM
fuelectenerg-3144	739	8	flip	flip	NOUN
fuelectenerg-3144	739	9	-	-	PUNCT
fuelectenerg-3144	739	10	flops	flop	NOUN
fuelectenerg-3144	739	11	to	to	PART
fuelectenerg-3144	739	12	implement	implement	VERB
fuelectenerg-3144	739	13	this	this	DET
fuelectenerg-3144	739	14	state	state	NOUN
fuelectenerg-3144	739	15	machine	machine	NOUN
fuelectenerg-3144	739	16	.	.	PUNCT
fuelectenerg-3144	740	1	however	however	ADV
fuelectenerg-3144	740	2	,	,	PUNCT
fuelectenerg-3144	740	3	since	since	SCONJ
fuelectenerg-3144	740	4	eight	eight	NUM
fuelectenerg-3144	740	5	distinct	distinct	ADJ
fuelectenerg-3144	740	6	states	state	NOUN
fuelectenerg-3144	740	7	exist	exist	VERB
fuelectenerg-3144	740	8	for	for	ADP
fuelectenerg-3144	740	9	an	an	DET
fuelectenerg-3144	740	10	array	array	NOUN
fuelectenerg-3144	740	11	of	of	ADP
fuelectenerg-3144	740	12	three	three	NUM
fuelectenerg-3144	740	13	flip	flip	NOUN
fuelectenerg-3144	740	14	-	-	PUNCT
fuelectenerg-3144	740	15	flops	flop	NOUN
fuelectenerg-3144	740	16	,	,	PUNCT
fuelectenerg-3144	740	17	three	three	NUM
fuelectenerg-3144	740	18	flipflop	flipflop	NOUN
fuelectenerg-3144	740	19	array	array	NOUN
fuelectenerg-3144	740	20	states	state	NOUN
fuelectenerg-3144	740	21	remain	remain	VERB
fuelectenerg-3144	740	22	unused	unused	ADJ
fuelectenerg-3144	740	23	.	.	PUNCT
fuelectenerg-3144	741	1	in	in	ADP
fuelectenerg-3144	741	2	other	other	ADJ
fuelectenerg-3144	741	3	words	word	NOUN
fuelectenerg-3144	741	4	,	,	PUNCT
fuelectenerg-3144	741	5	three	three	NUM
fuelectenerg-3144	741	6	of	of	ADP
fuelectenerg-3144	741	7	the	the	DET
fuelectenerg-3144	741	8	eight	eight	NUM
fuelectenerg-3144	741	9	possible	possible	ADJ
fuelectenerg-3144	741	10	flip	flip	NOUN
fuelectenerg-3144	741	11	-	-	PUNCT
fuelectenerg-3144	741	12	flop	flop	NOUN
fuelectenerg-3144	741	13	array	array	NOUN
fuelectenerg-3144	741	14	states	state	NOUN
fuelectenerg-3144	741	15	do	do	AUX
fuelectenerg-3144	741	16	not	not	PART
fuelectenerg-3144	741	17	represent	represent	VERB
fuelectenerg-3144	741	18	any	any	DET
fuelectenerg-3144	741	19	fsm	fsm	PROPN
fuelectenerg-3144	741	20	state	state	NOUN
fuelectenerg-3144	741	21	at	at	ADV
fuelectenerg-3144	741	22	all	all	ADV
fuelectenerg-3144	741	23	.	.	PUNCT
fuelectenerg-3144	742	1	similarly	similarly	ADV
fuelectenerg-3144	742	2	,	,	PUNCT
fuelectenerg-3144	742	3	the	the	DET
fuelectenerg-3144	742	4	number	number	NOUN
fuelectenerg-3144	742	5	of	of	ADP
fuelectenerg-3144	742	6	input	input	NOUN
fuelectenerg-3144	742	7	values	value	NOUN
fuelectenerg-3144	742	8	(	(	PUNCT
fuelectenerg-3144	742	9	3	3	X
fuelectenerg-3144	742	10	)	)	PUNCT
fuelectenerg-3144	742	11	is	be	AUX
fuelectenerg-3144	742	12	also	also	ADV
fuelectenerg-3144	742	13	not	not	PART
fuelectenerg-3144	742	14	a	a	DET
fuelectenerg-3144	742	15	power	power	NOUN
fuelectenerg-3144	742	16	of	of	ADP
fuelectenerg-3144	742	17	two	two	NUM
fuelectenerg-3144	742	18	,	,	PUNCT
fuelectenerg-3144	742	19	and	and	CCONJ
fuelectenerg-3144	742	20	hence	hence	ADV
fuelectenerg-3144	742	21	the	the	DET
fuelectenerg-3144	742	22	input	input	NOUN
fuelectenerg-3144	742	23	is	be	AUX
fuelectenerg-3144	742	24	encoded	encode	VERB
fuelectenerg-3144	742	25	by	by	ADP
fuelectenerg-3144	742	26	two	two	NUM
fuelectenerg-3144	742	27	bits	bit	NOUN
fuelectenerg-3144	742	28	with	with	ADP
fuelectenerg-3144	742	29	one	one	NUM
fuelectenerg-3144	742	30	of	of	ADP
fuelectenerg-3144	742	31	the	the	DET
fuelectenerg-3144	742	32	four	four	NUM
fuelectenerg-3144	742	33	possible	possible	ADJ
fuelectenerg-3144	742	34	combinations	combination	NOUN
fuelectenerg-3144	742	35	remaining	remain	VERB
fuelectenerg-3144	742	36	unused	unused	ADJ
fuelectenerg-3144	742	37	.	.	PUNCT
fuelectenerg-3144	743	1	the	the	DET
fuelectenerg-3144	743	2	effects	effect	NOUN
fuelectenerg-3144	743	3	of	of	ADP
fuelectenerg-3144	743	4	these	these	DET
fuelectenerg-3144	743	5	unused	unused	ADJ
fuelectenerg-3144	743	6	states	state	NOUN
fuelectenerg-3144	743	7	and	and	CCONJ
fuelectenerg-3144	743	8	input	input	NOUN
fuelectenerg-3144	743	9	combinations	combination	NOUN
fuelectenerg-3144	743	10	can	can	AUX
fuelectenerg-3144	743	11	be	be	AUX
fuelectenerg-3144	743	12	seen	see	VERB
fuelectenerg-3144	743	13	in	in	ADP
fuelectenerg-3144	743	14	the	the	DET
fuelectenerg-3144	743	15	encoded	encode	VERB
fuelectenerg-3144	743	16	transition	transition	NOUN
fuelectenerg-3144	743	17	function	function	NOUN
fuelectenerg-3144	743	18	δ2	δ2	PROPN
fuelectenerg-3144	743	19	,	,	PUNCT
fuelectenerg-3144	743	20	where	where	SCONJ
fuelectenerg-3144	743	21	the	the	DET
fuelectenerg-3144	743	22	value	value	NOUN
fuelectenerg-3144	743	23	of	of	ADP
fuelectenerg-3144	743	24	δ2	δ2	PROPN
fuelectenerg-3144	743	25	for	for	ADP
fuelectenerg-3144	743	26	the	the	DET
fuelectenerg-3144	743	27	unused	unused	ADJ
fuelectenerg-3144	743	28	states	state	NOUN
fuelectenerg-3144	743	29	is	be	AUX
fuelectenerg-3144	743	30	recorded	record	VERB
fuelectenerg-3144	743	31	as	as	ADP
fuelectenerg-3144	743	32	a	a	DET
fuelectenerg-3144	743	33	“	"	PUNCT
fuelectenerg-3144	743	34	−	−	PROPN
fuelectenerg-3144	743	35	”	"	PUNCT
fuelectenerg-3144	743	36	,	,	PUNCT
fuelectenerg-3144	743	37	indicating	indicate	VERB
fuelectenerg-3144	743	38	a	a	DET
fuelectenerg-3144	743	39	“	"	PUNCT
fuelectenerg-3144	743	40	don’t	don’t	NUM
fuelectenerg-3144	743	41	-	-	PUNCT
fuelectenerg-3144	743	42	care	care	NOUN
fuelectenerg-3144	743	43	”	"	PUNCT
fuelectenerg-3144	743	44	.	.	PUNCT
fuelectenerg-3144	744	1	a	a	DET
fuelectenerg-3144	744	2	“	"	PUNCT
fuelectenerg-3144	744	3	don’t	don’t	NUM
fuelectenerg-3144	744	4	-	-	PUNCT
fuelectenerg-3144	744	5	care	care	NOUN
fuelectenerg-3144	744	6	”	"	PUNCT
fuelectenerg-3144	744	7	output	output	NOUN
fuelectenerg-3144	744	8	indicates	indicate	VERB
fuelectenerg-3144	744	9	that	that	SCONJ
fuelectenerg-3144	744	10	the	the	DET
fuelectenerg-3144	744	11	digital	digital	ADJ
fuelectenerg-3144	744	12	logic	logic	NOUN
fuelectenerg-3144	744	13	implementing	implement	VERB
fuelectenerg-3144	744	14	the	the	DET
fuelectenerg-3144	744	15	fsm	fsm	PROPN
fuelectenerg-3144	744	16	may	may	AUX
fuelectenerg-3144	744	17	output	output	VERB
fuelectenerg-3144	744	18	a	a	DET
fuelectenerg-3144	744	19	value	value	NOUN
fuelectenerg-3144	744	20	of	of	ADP
fuelectenerg-3144	744	21	either	either	CCONJ
fuelectenerg-3144	744	22	0	0	NUM
fuelectenerg-3144	744	23	or	or	CCONJ
fuelectenerg-3144	744	24	1	1	NUM
fuelectenerg-3144	744	25	for	for	ADP
fuelectenerg-3144	744	26	that	that	DET
fuelectenerg-3144	744	27	combination	combination	NOUN
fuelectenerg-3144	744	28	of	of	ADP
fuelectenerg-3144	744	29	flip	flip	NOUN
fuelectenerg-3144	744	30	-	-	PUNCT
fuelectenerg-3144	744	31	flop	flop	NOUN
fuelectenerg-3144	744	32	states	state	NOUN
fuelectenerg-3144	744	33	and	and	CCONJ
fuelectenerg-3144	744	34	inputs	input	NOUN
fuelectenerg-3144	744	35	,	,	PUNCT
fuelectenerg-3144	744	36	since	since	SCONJ
fuelectenerg-3144	744	37	the	the	DET
fuelectenerg-3144	744	38	combination	combination	NOUN
fuelectenerg-3144	744	39	should	should	AUX
fuelectenerg-3144	744	40	never	never	ADV
fuelectenerg-3144	744	41	occur	occur	VERB
fuelectenerg-3144	744	42	during	during	ADP
fuelectenerg-3144	744	43	normal	normal	ADJ
fuelectenerg-3144	744	44	operation	operation	NOUN
fuelectenerg-3144	744	45	.	.	PUNCT
fuelectenerg-3144	745	1	we	we	PRON
fuelectenerg-3144	745	2	now	now	ADV
fuelectenerg-3144	745	3	observe	observe	VERB
fuelectenerg-3144	745	4	that	that	SCONJ
fuelectenerg-3144	745	5	at	at	ADV
fuelectenerg-3144	745	6	least	least	ADV
fuelectenerg-3144	745	7	three	three	NUM
fuelectenerg-3144	745	8	possible	possible	ADJ
fuelectenerg-3144	745	9	implementations	implementation	NOUN
fuelectenerg-3144	745	10	exist	exist	VERB
fuelectenerg-3144	745	11	for	for	ADP
fuelectenerg-3144	745	12	δ2	δ2	VERB
fuelectenerg-3144	745	13	:	:	PUNCT
fuelectenerg-3144	745	14	q+	q+	ADP
fuelectenerg-3144	745	15	2	2	NUM
fuelectenerg-3144	745	16	=	=	SYM
fuelectenerg-3144	745	17	¬q1	¬q1	NOUN
fuelectenerg-3144	745	18	∧	∧	PROPN
fuelectenerg-3144	745	19	¬q2	¬q2	NOUN
fuelectenerg-3144	745	20	,	,	PUNCT
fuelectenerg-3144	745	21	(	(	PUNCT
fuelectenerg-3144	745	22	3	3	X
fuelectenerg-3144	745	23	)	)	PUNCT
fuelectenerg-3144	745	24	q+	q+	ADP
fuelectenerg-3144	745	25	2	2	NUM
fuelectenerg-3144	745	26	=	=	SYM
fuelectenerg-3144	745	27	¬q1	¬q1	NOUN
fuelectenerg-3144	745	28	∧	∧	NOUN
fuelectenerg-3144	745	29	¬q3	¬q3	NOUN
fuelectenerg-3144	745	30	,	,	PUNCT
fuelectenerg-3144	745	31	(	(	PUNCT
fuelectenerg-3144	745	32	4	4	NUM
fuelectenerg-3144	745	33	)	)	PUNCT
fuelectenerg-3144	745	34	q+	q+	ADP
fuelectenerg-3144	745	35	2	2	NUM
fuelectenerg-3144	745	36	=	=	SYM
fuelectenerg-3144	745	37	¬q2	¬q2	ADJ
fuelectenerg-3144	745	38	∧	∧	PROPN
fuelectenerg-3144	745	39	¬q3	¬q3	NOUN
fuelectenerg-3144	745	40	.	.	PUNCT
fuelectenerg-3144	746	1	(	(	PUNCT
fuelectenerg-3144	746	2	5	5	NUM
fuelectenerg-3144	746	3	)	)	PUNCT
fuelectenerg-3144	746	4	thus	thus	ADV
fuelectenerg-3144	746	5	,	,	PUNCT
fuelectenerg-3144	746	6	it	it	PRON
fuelectenerg-3144	746	7	is	be	AUX
fuelectenerg-3144	746	8	clearly	clearly	ADV
fuelectenerg-3144	746	9	possible	possible	ADJ
fuelectenerg-3144	746	10	to	to	PART
fuelectenerg-3144	746	11	implement	implement	VERB
fuelectenerg-3144	746	12	δ2	δ2	VERB
fuelectenerg-3144	746	13	with	with	ADP
fuelectenerg-3144	746	14	a	a	DET
fuelectenerg-3144	746	15	dependency	dependency	NOUN
fuelectenerg-3144	746	16	on	on	ADP
fuelectenerg-3144	746	17	only	only	ADV
fuelectenerg-3144	746	18	two	two	NUM
fuelectenerg-3144	746	19	variables	variable	NOUN
fuelectenerg-3144	746	20	.	.	PUNCT
fuelectenerg-3144	747	1	on	on	ADP
fuelectenerg-3144	747	2	the	the	DET
fuelectenerg-3144	747	3	other	other	ADJ
fuelectenerg-3144	747	4	hand	hand	NOUN
fuelectenerg-3144	747	5	,	,	PUNCT
fuelectenerg-3144	747	6	one	one	PRON
fuelectenerg-3144	747	7	can	can	AUX
fuelectenerg-3144	747	8	see	see	VERB
fuelectenerg-3144	747	9	from	from	ADP
fuelectenerg-3144	747	10	inspection	inspection	NOUN
fuelectenerg-3144	747	11	that	that	PRON
fuelectenerg-3144	747	12	any	any	DET
fuelectenerg-3144	747	13	one	one	NUM
fuelectenerg-3144	747	14	of	of	ADP
fuelectenerg-3144	747	15	q1	q1	PROPN
fuelectenerg-3144	747	16	,	,	PUNCT
fuelectenerg-3144	747	17	q2	q2	NOUN
fuelectenerg-3144	747	18	,	,	PUNCT
fuelectenerg-3144	747	19	q3	q3	PROPN
fuelectenerg-3144	747	20	,	,	PUNCT
fuelectenerg-3144	747	21	x1	x1	PROPN
fuelectenerg-3144	747	22	,	,	PUNCT
fuelectenerg-3144	747	23	or	or	CCONJ
fuelectenerg-3144	747	24	x2	x2	PROPN
fuelectenerg-3144	747	25	alone	alone	ADV
fuelectenerg-3144	747	26	is	be	AUX
fuelectenerg-3144	747	27	not	not	PART
fuelectenerg-3144	747	28	enough	enough	ADJ
fuelectenerg-3144	747	29	to	to	PART
fuelectenerg-3144	747	30	determine	determine	VERB
fuelectenerg-3144	747	31	the	the	DET
fuelectenerg-3144	747	32	value	value	NOUN
fuelectenerg-3144	747	33	of	of	ADP
fuelectenerg-3144	747	34	δ2	δ2	PROPN
fuelectenerg-3144	747	35	.	.	PUNCT
fuelectenerg-3144	748	1	hence	hence	ADV
fuelectenerg-3144	748	2	,	,	PUNCT
fuelectenerg-3144	748	3	our	our	PRON
fuelectenerg-3144	748	4	cost	cost	NOUN
fuelectenerg-3144	748	5	model	model	NOUN
fuelectenerg-3144	748	6	assigns	assign	NOUN
fuelectenerg-3144	748	7	δ2	δ2	VERB
fuelectenerg-3144	748	8	a	a	DET
fuelectenerg-3144	748	9	cost	cost	NOUN
fuelectenerg-3144	748	10	of	of	ADP
fuelectenerg-3144	748	11	2	2	NUM
fuelectenerg-3144	748	12	.	.	PUNCT
fuelectenerg-3144	749	1	however	however	ADV
fuelectenerg-3144	749	2	,	,	PUNCT
fuelectenerg-3144	749	3	the	the	DET
fuelectenerg-3144	749	4	procedure	procedure	NOUN
fuelectenerg-3144	749	5	from	from	ADP
fuelectenerg-3144	749	6	the	the	DET
fuelectenerg-3144	749	7	previous	previous	ADJ
fuelectenerg-3144	749	8	section	section	NOUN
fuelectenerg-3144	749	9	finds	find	VERB
fuelectenerg-3144	749	10	the	the	DET
fuelectenerg-3144	749	11	cost	cost	NOUN
fuelectenerg-3144	749	12	of	of	ADP
fuelectenerg-3144	749	13	δ2	δ2	ADJ
fuelectenerg-3144	749	14	to	to	PART
fuelectenerg-3144	749	15	be	be	AUX
fuelectenerg-3144	749	16	0	0	NUM
fuelectenerg-3144	749	17	.	.	PUNCT
fuelectenerg-3144	750	1	for	for	ADP
fuelectenerg-3144	750	2	instance	instance	NOUN
fuelectenerg-3144	750	3	,	,	PUNCT
fuelectenerg-3144	750	4	when	when	SCONJ
fuelectenerg-3144	750	5	considering	consider	VERB
fuelectenerg-3144	750	6	whether	whether	SCONJ
fuelectenerg-3144	750	7	δ2	δ2	VERB
fuelectenerg-3144	750	8	depends	depend	VERB
fuelectenerg-3144	750	9	on	on	ADP
fuelectenerg-3144	750	10	q1	q1	PROPN
fuelectenerg-3144	750	11	,	,	PUNCT
fuelectenerg-3144	750	12	the	the	DET
fuelectenerg-3144	750	13	procedure	procedure	NOUN
fuelectenerg-3144	750	14	considers	consider	VERB
fuelectenerg-3144	750	15	all	all	DET
fuelectenerg-3144	750	16	pairs	pair	NOUN
fuelectenerg-3144	750	17	of	of	ADP
fuelectenerg-3144	750	18	states	state	NOUN
fuelectenerg-3144	750	19	(	(	PUNCT
fuelectenerg-3144	750	20	s	s	PROPN
fuelectenerg-3144	750	21	,	,	PUNCT
fuelectenerg-3144	750	22	s′	s′	X
fuelectenerg-3144	750	23	)	)	PUNCT
fuelectenerg-3144	750	24	whose	whose	DET
fuelectenerg-3144	750	25	encodings	encoding	NOUN
fuelectenerg-3144	750	26	differ	differ	VERB
fuelectenerg-3144	750	27	only	only	ADV
fuelectenerg-3144	750	28	in	in	ADP
fuelectenerg-3144	750	29	q1	q1	PROPN
fuelectenerg-3144	750	30	,	,	PUNCT
fuelectenerg-3144	750	31	and	and	CCONJ
fuelectenerg-3144	750	32	then	then	ADV
fuelectenerg-3144	750	33	examines	examine	VERB
fuelectenerg-3144	750	34	whether	whether	SCONJ
fuelectenerg-3144	750	35	the	the	DET
fuelectenerg-3144	750	36	encodings	encoding	NOUN
fuelectenerg-3144	750	37	of	of	ADP
fuelectenerg-3144	750	38	δ(s	δ(s	PROPN
fuelectenerg-3144	750	39	,	,	PUNCT
fuelectenerg-3144	750	40	i	i	NOUN
fuelectenerg-3144	750	41	)	)	PUNCT
fuelectenerg-3144	750	42	and	and	CCONJ
fuelectenerg-3144	750	43	δ(s′	δ(s′	PROPN
fuelectenerg-3144	750	44	,	,	PUNCT
fuelectenerg-3144	750	45	i	i	PRON
fuelectenerg-3144	750	46	)	)	PUNCT
fuelectenerg-3144	750	47	differ	differ	VERB
fuelectenerg-3144	750	48	20	20	NUM
fuelectenerg-3144	750	49	in	in	ADP
fuelectenerg-3144	750	50	q2	q2	NOUN
fuelectenerg-3144	750	51	for	for	ADP
fuelectenerg-3144	750	52	any	any	DET
fuelectenerg-3144	750	53	input	input	NOUN
fuelectenerg-3144	750	54	value	value	NOUN
fuelectenerg-3144	750	55	i.	i.	NOUN
fuelectenerg-3144	750	56	in	in	ADP
fuelectenerg-3144	750	57	this	this	DET
fuelectenerg-3144	750	58	case	case	NOUN
fuelectenerg-3144	750	59	,	,	PUNCT
fuelectenerg-3144	750	60	the	the	DET
fuelectenerg-3144	750	61	only	only	ADJ
fuelectenerg-3144	750	62	such	such	ADJ
fuelectenerg-3144	750	63	pair	pair	NOUN
fuelectenerg-3144	750	64	of	of	ADP
fuelectenerg-3144	750	65	states	state	NOUN
fuelectenerg-3144	750	66	is	be	AUX
fuelectenerg-3144	750	67	(	(	PUNCT
fuelectenerg-3144	750	68	s2	s2	PROPN
fuelectenerg-3144	750	69	,	,	PUNCT
fuelectenerg-3144	750	70	s5	s5	PROPN
fuelectenerg-3144	750	71	)	)	PUNCT
fuelectenerg-3144	750	72	,	,	PUNCT
fuelectenerg-3144	750	73	and	and	CCONJ
fuelectenerg-3144	750	74	under	under	ADP
fuelectenerg-3144	750	75	δ	δ	PROPN
fuelectenerg-3144	750	76	with	with	ADP
fuelectenerg-3144	750	77	i	i	PROPN
fuelectenerg-3144	750	78	=	=	PROPN
fuelectenerg-3144	750	79	i1	i1	PROPN
fuelectenerg-3144	750	80	,	,	PUNCT
fuelectenerg-3144	750	81	i	i	PROPN
fuelectenerg-3144	750	82	=	=	PROPN
fuelectenerg-3144	750	83	i2	i2	PROPN
fuelectenerg-3144	750	84	,	,	PUNCT
fuelectenerg-3144	750	85	and	and	CCONJ
fuelectenerg-3144	750	86	i	i	NOUN
fuelectenerg-3144	750	87	=	=	SYM
fuelectenerg-3144	750	88	i3	i3	PROPN
fuelectenerg-3144	750	89	,	,	PUNCT
fuelectenerg-3144	750	90	the	the	DET
fuelectenerg-3144	750	91	images	image	NOUN
fuelectenerg-3144	750	92	of	of	ADP
fuelectenerg-3144	750	93	this	this	DET
fuelectenerg-3144	750	94	pair	pair	NOUN
fuelectenerg-3144	750	95	are	be	AUX
fuelectenerg-3144	750	96	(	(	PUNCT
fuelectenerg-3144	750	97	s1	s1	NOUN
fuelectenerg-3144	750	98	,	,	PUNCT
fuelectenerg-3144	750	99	s1	s1	NOUN
fuelectenerg-3144	750	100	)	)	PUNCT
fuelectenerg-3144	750	101	,	,	PUNCT
fuelectenerg-3144	750	102	(	(	PUNCT
fuelectenerg-3144	750	103	s1	s1	NOUN
fuelectenerg-3144	750	104	,	,	PUNCT
fuelectenerg-3144	750	105	s3	s3	PROPN
fuelectenerg-3144	750	106	)	)	PUNCT
fuelectenerg-3144	750	107	,	,	PUNCT
fuelectenerg-3144	750	108	and	and	CCONJ
fuelectenerg-3144	750	109	(	(	PUNCT
fuelectenerg-3144	750	110	s1	s1	NOUN
fuelectenerg-3144	750	111	,	,	PUNCT
fuelectenerg-3144	750	112	s1	s1	NOUN
fuelectenerg-3144	750	113	)	)	PUNCT
fuelectenerg-3144	750	114	,	,	PUNCT
fuelectenerg-3144	750	115	respectively	respectively	ADV
fuelectenerg-3144	750	116	.	.	PUNCT
fuelectenerg-3144	751	1	for	for	ADP
fuelectenerg-3144	751	2	all	all	DET
fuelectenerg-3144	751	3	three	three	NUM
fuelectenerg-3144	751	4	image	image	NOUN
fuelectenerg-3144	751	5	pairs	pair	NOUN
fuelectenerg-3144	751	6	,	,	PUNCT
fuelectenerg-3144	751	7	q2	q2	NOUN
fuelectenerg-3144	751	8	does	do	AUX
fuelectenerg-3144	751	9	not	not	PART
fuelectenerg-3144	751	10	differ	differ	VERB
fuelectenerg-3144	751	11	between	between	ADP
fuelectenerg-3144	751	12	the	the	DET
fuelectenerg-3144	751	13	encoded	encode	VERB
fuelectenerg-3144	751	14	values	value	NOUN
fuelectenerg-3144	751	15	of	of	ADP
fuelectenerg-3144	751	16	the	the	DET
fuelectenerg-3144	751	17	two	two	NUM
fuelectenerg-3144	751	18	states	state	NOUN
fuelectenerg-3144	751	19	in	in	ADP
fuelectenerg-3144	751	20	the	the	DET
fuelectenerg-3144	751	21	pair	pair	NOUN
fuelectenerg-3144	751	22	.	.	PUNCT
fuelectenerg-3144	752	1	thus	thus	ADV
fuelectenerg-3144	752	2	,	,	PUNCT
fuelectenerg-3144	752	3	the	the	DET
fuelectenerg-3144	752	4	procedure	procedure	NOUN
fuelectenerg-3144	752	5	determines	determine	VERB
fuelectenerg-3144	752	6	that	that	PRON
fuelectenerg-3144	752	7	δ2	δ2	VERB
fuelectenerg-3144	752	8	does	do	AUX
fuelectenerg-3144	752	9	not	not	PART
fuelectenerg-3144	752	10	depend	depend	VERB
fuelectenerg-3144	752	11	on	on	ADP
fuelectenerg-3144	752	12	q1	q1	PROPN
fuelectenerg-3144	752	13	.	.	PUNCT
fuelectenerg-3144	753	1	in	in	ADP
fuelectenerg-3144	753	2	a	a	DET
fuelectenerg-3144	753	3	similar	similar	ADJ
fuelectenerg-3144	753	4	fashion	fashion	NOUN
fuelectenerg-3144	753	5	,	,	PUNCT
fuelectenerg-3144	753	6	the	the	DET
fuelectenerg-3144	753	7	procedure	procedure	NOUN
fuelectenerg-3144	753	8	also	also	ADV
fuelectenerg-3144	753	9	determines	determine	VERB
fuelectenerg-3144	753	10	that	that	SCONJ
fuelectenerg-3144	753	11	δ2	δ2	VERB
fuelectenerg-3144	753	12	does	do	AUX
fuelectenerg-3144	753	13	not	not	PART
fuelectenerg-3144	753	14	depend	depend	VERB
fuelectenerg-3144	753	15	on	on	ADP
fuelectenerg-3144	753	16	q2	q2	NOUN
fuelectenerg-3144	753	17	,	,	PUNCT
fuelectenerg-3144	753	18	q3	q3	PROPN
fuelectenerg-3144	753	19	,	,	PUNCT
fuelectenerg-3144	753	20	x1	x1	PROPN
fuelectenerg-3144	753	21	,	,	PUNCT
fuelectenerg-3144	753	22	or	or	CCONJ
fuelectenerg-3144	753	23	x2	x2	NOUN
fuelectenerg-3144	753	24	,	,	PUNCT
fuelectenerg-3144	753	25	and	and	CCONJ
fuelectenerg-3144	753	26	consequently	consequently	ADV
fuelectenerg-3144	753	27	calculates	calculate	VERB
fuelectenerg-3144	753	28	the	the	DET
fuelectenerg-3144	753	29	cost	cost	NOUN
fuelectenerg-3144	753	30	of	of	ADP
fuelectenerg-3144	753	31	δ2	δ2	VERB
fuelectenerg-3144	753	32	as	as	ADP
fuelectenerg-3144	753	33	0	0	NUM
fuelectenerg-3144	753	34	.	.	PUNCT
fuelectenerg-3144	754	1	this	this	DET
fuelectenerg-3144	754	2	conclusion	conclusion	NOUN
fuelectenerg-3144	754	3	is	be	AUX
fuelectenerg-3144	754	4	clearly	clearly	ADV
fuelectenerg-3144	754	5	incorrect	incorrect	ADJ
fuelectenerg-3144	754	6	since	since	SCONJ
fuelectenerg-3144	754	7	δ2	δ2	VERB
fuelectenerg-3144	754	8	is	be	AUX
fuelectenerg-3144	754	9	not	not	PART
fuelectenerg-3144	754	10	constant	constant	ADJ
fuelectenerg-3144	754	11	and	and	CCONJ
fuelectenerg-3144	754	12	must	must	AUX
fuelectenerg-3144	754	13	therefore	therefore	ADV
fuelectenerg-3144	754	14	depend	depend	VERB
fuelectenerg-3144	754	15	on	on	ADP
fuelectenerg-3144	754	16	at	at	ADV
fuelectenerg-3144	754	17	least	least	ADV
fuelectenerg-3144	754	18	one	one	NUM
fuelectenerg-3144	754	19	variable	variable	NOUN
fuelectenerg-3144	754	20	.	.	PUNCT
fuelectenerg-3144	755	1	indeed	indeed	ADV
fuelectenerg-3144	755	2	,	,	PUNCT
fuelectenerg-3144	755	3	we	we	PRON
fuelectenerg-3144	755	4	previously	previously	ADV
fuelectenerg-3144	755	5	determined	determine	VERB
fuelectenerg-3144	755	6	the	the	DET
fuelectenerg-3144	755	7	minimum	minimum	ADJ
fuelectenerg-3144	755	8	number	number	NOUN
fuelectenerg-3144	755	9	of	of	ADP
fuelectenerg-3144	755	10	dependencies	dependency	NOUN
fuelectenerg-3144	755	11	to	to	PART
fuelectenerg-3144	755	12	be	be	AUX
fuelectenerg-3144	755	13	2	2	NUM
fuelectenerg-3144	755	14	.	.	PUNCT
fuelectenerg-3144	756	1	our	our	PRON
fuelectenerg-3144	756	2	procedure	procedure	NOUN
fuelectenerg-3144	756	3	’s	’s	PART
fuelectenerg-3144	756	4	failure	failure	NOUN
fuelectenerg-3144	756	5	to	to	PART
fuelectenerg-3144	756	6	correctly	correctly	ADV
fuelectenerg-3144	756	7	determine	determine	VERB
fuelectenerg-3144	756	8	cost	cost	NOUN
fuelectenerg-3144	756	9	in	in	ADP
fuelectenerg-3144	756	10	this	this	DET
fuelectenerg-3144	756	11	case	case	NOUN
fuelectenerg-3144	756	12	ultimately	ultimately	ADV
fuelectenerg-3144	756	13	arises	arise	VERB
fuelectenerg-3144	756	14	from	from	ADP
fuelectenerg-3144	756	15	the	the	DET
fuelectenerg-3144	756	16	fact	fact	NOUN
fuelectenerg-3144	756	17	that	that	SCONJ
fuelectenerg-3144	756	18	,	,	PUNCT
fuelectenerg-3144	756	19	considered	consider	VERB
fuelectenerg-3144	756	20	individually	individually	ADV
fuelectenerg-3144	756	21	,	,	PUNCT
fuelectenerg-3144	756	22	δ2	δ2	VERB
fuelectenerg-3144	756	23	need	need	AUX
fuelectenerg-3144	756	24	not	not	PART
fuelectenerg-3144	756	25	depend	depend	VERB
fuelectenerg-3144	756	26	on	on	ADP
fuelectenerg-3144	756	27	any	any	DET
fuelectenerg-3144	756	28	particular	particular	ADJ
fuelectenerg-3144	756	29	one	one	NUM
fuelectenerg-3144	756	30	of	of	ADP
fuelectenerg-3144	756	31	q1	q1	PROPN
fuelectenerg-3144	756	32	,	,	PUNCT
fuelectenerg-3144	756	33	q2	q2	NOUN
fuelectenerg-3144	756	34	,	,	PUNCT
fuelectenerg-3144	756	35	and	and	CCONJ
fuelectenerg-3144	756	36	q3	q3	PROPN
fuelectenerg-3144	756	37	.	.	PUNCT
fuelectenerg-3144	757	1	for	for	ADP
fuelectenerg-3144	757	2	instance	instance	NOUN
fuelectenerg-3144	757	3	,	,	PUNCT
fuelectenerg-3144	757	4	eq	eq	NOUN
fuelectenerg-3144	757	5	.	.	PROPN
fuelectenerg-3144	757	6	5	5	NUM
fuelectenerg-3144	757	7	implements	implement	NOUN
fuelectenerg-3144	757	8	δ2	δ2	VERB
fuelectenerg-3144	757	9	without	without	ADP
fuelectenerg-3144	757	10	a	a	DET
fuelectenerg-3144	757	11	dependency	dependency	NOUN
fuelectenerg-3144	757	12	on	on	ADP
fuelectenerg-3144	757	13	q1	q1	PROPN
fuelectenerg-3144	757	14	.	.	PUNCT
fuelectenerg-3144	758	1	similarly	similarly	ADV
fuelectenerg-3144	758	2	,	,	PUNCT
fuelectenerg-3144	758	3	eq	eq	NOUN
fuelectenerg-3144	758	4	.	.	PROPN
fuelectenerg-3144	758	5	4	4	NUM
fuelectenerg-3144	758	6	and	and	CCONJ
fuelectenerg-3144	758	7	eq	eq	NOUN
fuelectenerg-3144	758	8	.	.	PROPN
fuelectenerg-3144	758	9	3	3	NUM
fuelectenerg-3144	758	10	implement	implement	VERB
fuelectenerg-3144	758	11	δ2	δ2	VERB
fuelectenerg-3144	758	12	without	without	ADP
fuelectenerg-3144	758	13	dependencies	dependency	NOUN
fuelectenerg-3144	758	14	on	on	ADP
fuelectenerg-3144	758	15	q2	q2	NOUN
fuelectenerg-3144	758	16	and	and	CCONJ
fuelectenerg-3144	758	17	q3	q3	PROPN
fuelectenerg-3144	758	18	,	,	PUNCT
fuelectenerg-3144	758	19	respectively	respectively	ADV
fuelectenerg-3144	758	20	.	.	PUNCT
fuelectenerg-3144	759	1	it	it	PRON
fuelectenerg-3144	759	2	is	be	AUX
fuelectenerg-3144	759	3	however	however	ADV
fuelectenerg-3144	759	4	not	not	PART
fuelectenerg-3144	759	5	possible	possible	ADJ
fuelectenerg-3144	759	6	to	to	PART
fuelectenerg-3144	759	7	simultaneously	simultaneously	ADV
fuelectenerg-3144	759	8	avoid	avoid	VERB
fuelectenerg-3144	759	9	two	two	NUM
fuelectenerg-3144	759	10	of	of	ADP
fuelectenerg-3144	759	11	these	these	DET
fuelectenerg-3144	759	12	dependencies	dependency	NOUN
fuelectenerg-3144	759	13	.	.	PUNCT
fuelectenerg-3144	760	1	in	in	ADP
fuelectenerg-3144	760	2	other	other	ADJ
fuelectenerg-3144	760	3	words	word	NOUN
fuelectenerg-3144	760	4	,	,	PUNCT
fuelectenerg-3144	760	5	any	any	DET
fuelectenerg-3144	760	6	implementation	implementation	NOUN
fuelectenerg-3144	760	7	of	of	ADP
fuelectenerg-3144	760	8	δ2	δ2	PROPN
fuelectenerg-3144	760	9	that	that	PRON
fuelectenerg-3144	760	10	lacks	lack	VERB
fuelectenerg-3144	760	11	a	a	DET
fuelectenerg-3144	760	12	dependency	dependency	NOUN
fuelectenerg-3144	760	13	on	on	ADP
fuelectenerg-3144	760	14	q1	q1	PROPN
fuelectenerg-3144	760	15	must	must	AUX
fuelectenerg-3144	760	16	then	then	ADV
fuelectenerg-3144	760	17	depend	depend	VERB
fuelectenerg-3144	760	18	on	on	ADP
fuelectenerg-3144	760	19	both	both	PRON
fuelectenerg-3144	760	20	q2	q2	NOUN
fuelectenerg-3144	760	21	and	and	CCONJ
fuelectenerg-3144	760	22	q3	q3	PROPN
fuelectenerg-3144	760	23	.	.	PUNCT
fuelectenerg-3144	761	1	so	so	ADV
fuelectenerg-3144	761	2	,	,	PUNCT
fuelectenerg-3144	761	3	although	although	SCONJ
fuelectenerg-3144	761	4	the	the	DET
fuelectenerg-3144	761	5	implementation	implementation	NOUN
fuelectenerg-3144	761	6	given	give	VERB
fuelectenerg-3144	761	7	by	by	ADP
fuelectenerg-3144	761	8	eq	eq	ADJ
fuelectenerg-3144	761	9	.	.	PROPN
fuelectenerg-3144	761	10	5	5	NUM
fuelectenerg-3144	761	11	does	do	AUX
fuelectenerg-3144	761	12	not	not	PART
fuelectenerg-3144	761	13	depend	depend	VERB
fuelectenerg-3144	761	14	on	on	ADP
fuelectenerg-3144	761	15	q1	q1	PROPN
fuelectenerg-3144	761	16	,	,	PUNCT
fuelectenerg-3144	761	17	it	it	PRON
fuelectenerg-3144	761	18	depends	depend	VERB
fuelectenerg-3144	761	19	on	on	ADP
fuelectenerg-3144	761	20	both	both	PRON
fuelectenerg-3144	761	21	q2	q2	NOUN
fuelectenerg-3144	761	22	and	and	CCONJ
fuelectenerg-3144	761	23	q3	q3	PROPN
fuelectenerg-3144	761	24	.	.	PUNCT
fuelectenerg-3144	762	1	the	the	DET
fuelectenerg-3144	762	2	procedure	procedure	NOUN
fuelectenerg-3144	762	3	from	from	ADP
fuelectenerg-3144	762	4	the	the	DET
fuelectenerg-3144	762	5	previous	previous	ADJ
fuelectenerg-3144	762	6	section	section	NOUN
fuelectenerg-3144	762	7	assumes	assume	VERB
fuelectenerg-3144	762	8	(	(	PUNCT
fuelectenerg-3144	762	9	in	in	ADP
fuelectenerg-3144	762	10	this	this	DET
fuelectenerg-3144	762	11	case	case	NOUN
fuelectenerg-3144	762	12	incorrectly	incorrectly	ADV
fuelectenerg-3144	762	13	)	)	PUNCT
fuelectenerg-3144	762	14	that	that	SCONJ
fuelectenerg-3144	762	15	any	any	DET
fuelectenerg-3144	762	16	two	two	NUM
fuelectenerg-3144	762	17	dependencies	dependency	NOUN
fuelectenerg-3144	762	18	can	can	AUX
fuelectenerg-3144	762	19	always	always	ADV
fuelectenerg-3144	762	20	be	be	AUX
fuelectenerg-3144	762	21	simultaneously	simultaneously	ADV
fuelectenerg-3144	762	22	avoided	avoid	VERB
fuelectenerg-3144	762	23	if	if	SCONJ
fuelectenerg-3144	762	24	they	they	PRON
fuelectenerg-3144	762	25	can	can	AUX
fuelectenerg-3144	762	26	be	be	AUX
fuelectenerg-3144	762	27	individually	individually	ADV
fuelectenerg-3144	762	28	avoided	avoid	VERB
fuelectenerg-3144	762	29	,	,	PUNCT
fuelectenerg-3144	762	30	which	which	PRON
fuelectenerg-3144	762	31	results	result	VERB
fuelectenerg-3144	762	32	in	in	ADP
fuelectenerg-3144	762	33	an	an	DET
fuelectenerg-3144	762	34	incorrect	incorrect	ADJ
fuelectenerg-3144	762	35	computed	compute	VERB
fuelectenerg-3144	762	36	cost	cost	NOUN
fuelectenerg-3144	762	37	.	.	PUNCT
fuelectenerg-3144	763	1	the	the	DET
fuelectenerg-3144	763	2	scenario	scenario	NOUN
fuelectenerg-3144	763	3	described	describe	VERB
fuelectenerg-3144	763	4	here	here	ADV
fuelectenerg-3144	763	5	can	can	AUX
fuelectenerg-3144	763	6	never	never	ADV
fuelectenerg-3144	763	7	occur	occur	VERB
fuelectenerg-3144	763	8	if	if	SCONJ
fuelectenerg-3144	763	9	all	all	PRON
fuelectenerg-3144	763	10	encoded	encode	VERB
fuelectenerg-3144	763	11	transition	transition	NOUN
fuelectenerg-3144	763	12	functions	function	NOUN
fuelectenerg-3144	763	13	are	be	AUX
fuelectenerg-3144	763	14	actual	actual	ADJ
fuelectenerg-3144	763	15	functions	function	NOUN
fuelectenerg-3144	763	16	(	(	PUNCT
fuelectenerg-3144	763	17	not	not	PART
fuelectenerg-3144	763	18	relations	relation	NOUN
fuelectenerg-3144	763	19	)	)	PUNCT
fuelectenerg-3144	763	20	in	in	ADP
fuelectenerg-3144	763	21	the	the	DET
fuelectenerg-3144	763	22	mathematical	mathematical	ADJ
fuelectenerg-3144	763	23	sense	sense	NOUN
fuelectenerg-3144	763	24	.	.	PUNCT
fuelectenerg-3144	764	1	to	to	PART
fuelectenerg-3144	764	2	see	see	VERB
fuelectenerg-3144	764	3	this	this	PRON
fuelectenerg-3144	764	4	,	,	PUNCT
fuelectenerg-3144	764	5	observe	observe	VERB
fuelectenerg-3144	764	6	that	that	SCONJ
fuelectenerg-3144	764	7	any	any	DET
fuelectenerg-3144	764	8	mathematical	mathematical	ADJ
fuelectenerg-3144	764	9	function	function	NOUN
fuelectenerg-3144	764	10	lacking	lack	VERB
fuelectenerg-3144	764	11	a	a	DET
fuelectenerg-3144	764	12	dependency	dependency	NOUN
fuelectenerg-3144	764	13	on	on	ADP
fuelectenerg-3144	764	14	each	each	PRON
fuelectenerg-3144	764	15	of	of	ADP
fuelectenerg-3144	764	16	two	two	NUM
fuelectenerg-3144	764	17	variables	variable	NOUN
fuelectenerg-3144	764	18	individually	individually	ADV
fuelectenerg-3144	764	19	must	must	AUX
fuelectenerg-3144	764	20	also	also	ADV
fuelectenerg-3144	764	21	lack	lack	VERB
fuelectenerg-3144	764	22	a	a	DET
fuelectenerg-3144	764	23	dependency	dependency	NOUN
fuelectenerg-3144	764	24	on	on	ADP
fuelectenerg-3144	764	25	those	those	DET
fuelectenerg-3144	764	26	variables	variable	NOUN
fuelectenerg-3144	764	27	simultaneously	simultaneously	ADV
fuelectenerg-3144	764	28	.	.	PUNCT
fuelectenerg-3144	765	1	in	in	ADP
fuelectenerg-3144	765	2	other	other	ADJ
fuelectenerg-3144	765	3	words	word	NOUN
fuelectenerg-3144	765	4	,	,	PUNCT
fuelectenerg-3144	765	5	suppose	suppose	VERB
fuelectenerg-3144	765	6	that	that	SCONJ
fuelectenerg-3144	765	7	a	a	DET
fuelectenerg-3144	765	8	function	function	NOUN
fuelectenerg-3144	765	9	f	f	NOUN
fuelectenerg-3144	765	10	of	of	ADP
fuelectenerg-3144	765	11	variables5	variables5	PROPN
fuelectenerg-3144	765	12	x1	x1	PROPN
fuelectenerg-3144	765	13	through	through	ADP
fuelectenerg-3144	765	14	xn	xn	PROPN
fuelectenerg-3144	765	15	lacks	lack	VERB
fuelectenerg-3144	765	16	a	a	DET
fuelectenerg-3144	765	17	dependency	dependency	NOUN
fuelectenerg-3144	765	18	on	on	ADP
fuelectenerg-3144	765	19	x1	x1	PROPN
fuelectenerg-3144	765	20	,	,	PUNCT
fuelectenerg-3144	765	21	meaning	mean	VERB
fuelectenerg-3144	765	22	that	that	SCONJ
fuelectenerg-3144	765	23	a	a	DET
fuelectenerg-3144	765	24	change	change	NOUN
fuelectenerg-3144	765	25	in	in	ADP
fuelectenerg-3144	765	26	only	only	ADV
fuelectenerg-3144	765	27	x1	x1	PROPN
fuelectenerg-3144	765	28	can	can	AUX
fuelectenerg-3144	765	29	not	not	PART
fuelectenerg-3144	765	30	affect	affect	VERB
fuelectenerg-3144	765	31	the	the	DET
fuelectenerg-3144	765	32	value	value	NOUN
fuelectenerg-3144	765	33	of	of	ADP
fuelectenerg-3144	765	34	f	f	PROPN
fuelectenerg-3144	765	35	and	and	CCONJ
fuelectenerg-3144	765	36	f	f	PROPN
fuelectenerg-3144	765	37	can	can	AUX
fuelectenerg-3144	765	38	be	be	AUX
fuelectenerg-3144	765	39	computed	compute	VERB
fuelectenerg-3144	765	40	without	without	ADP
fuelectenerg-3144	765	41	knowledge	knowledge	NOUN
fuelectenerg-3144	765	42	of	of	ADP
fuelectenerg-3144	765	43	the	the	DET
fuelectenerg-3144	765	44	value	value	NOUN
fuelectenerg-3144	765	45	of	of	ADP
fuelectenerg-3144	765	46	x1	x1	PROPN
fuelectenerg-3144	765	47	.	.	PUNCT
fuelectenerg-3144	766	1	furthermore	furthermore	ADV
fuelectenerg-3144	766	2	suppose	suppose	VERB
fuelectenerg-3144	766	3	that	that	SCONJ
fuelectenerg-3144	766	4	f	f	PROPN
fuelectenerg-3144	766	5	similarly	similarly	ADV
fuelectenerg-3144	766	6	lacks	lack	VERB
fuelectenerg-3144	766	7	a	a	DET
fuelectenerg-3144	766	8	dependency	dependency	NOUN
fuelectenerg-3144	766	9	on	on	ADP
fuelectenerg-3144	766	10	x2	x2	PROPN
fuelectenerg-3144	766	11	.	.	PUNCT
fuelectenerg-3144	767	1	then	then	ADV
fuelectenerg-3144	767	2	if	if	SCONJ
fuelectenerg-3144	767	3	the	the	DET
fuelectenerg-3144	767	4	value	value	NOUN
fuelectenerg-3144	767	5	of	of	ADP
fuelectenerg-3144	767	6	x1	x1	ADJ
fuelectenerg-3144	767	7	changes	change	NOUN
fuelectenerg-3144	767	8	to	to	ADP
fuelectenerg-3144	767	9	a	a	DET
fuelectenerg-3144	767	10	different	different	ADJ
fuelectenerg-3144	767	11	value	value	NOUN
fuelectenerg-3144	767	12	x1	x1	NOUN
fuelectenerg-3144	767	13	′	′	NOUN
fuelectenerg-3144	767	14	and	and	CCONJ
fuelectenerg-3144	767	15	the	the	DET
fuelectenerg-3144	767	16	value	value	NOUN
fuelectenerg-3144	767	17	of	of	ADP
fuelectenerg-3144	767	18	x2	x2	PROPN
fuelectenerg-3144	767	19	simultaneously	simultaneously	ADV
fuelectenerg-3144	767	20	changes	change	VERB
fuelectenerg-3144	767	21	to	to	ADP
fuelectenerg-3144	767	22	x2	x2	PROPN
fuelectenerg-3144	767	23	′	′	NOUN
fuelectenerg-3144	767	24	,	,	PUNCT
fuelectenerg-3144	767	25	we	we	PRON
fuelectenerg-3144	767	26	have6	have6	VERB
fuelectenerg-3144	767	27	f(x1	f(x1	X
fuelectenerg-3144	767	28	,	,	PUNCT
fuelectenerg-3144	767	29	x2	x2	PROPN
fuelectenerg-3144	767	30	,	,	PUNCT
fuelectenerg-3144	767	31	.	.	PUNCT
fuelectenerg-3144	767	32	.	.	PUNCT
fuelectenerg-3144	767	33	.	.	PUNCT
fuelectenerg-3144	768	1	,	,	PUNCT
fuelectenerg-3144	768	2	xn	xn	X
fuelectenerg-3144	768	3	)	)	PUNCT
fuelectenerg-3144	768	4	=	=	SYM
fuelectenerg-3144	768	5	f(x1	f(x1	X
fuelectenerg-3144	768	6	,	,	PUNCT
fuelectenerg-3144	768	7	x2	x2	PROPN
fuelectenerg-3144	768	8	′	′	NOUN
fuelectenerg-3144	768	9	,	,	PUNCT
fuelectenerg-3144	768	10	.	.	PUNCT
fuelectenerg-3144	768	11	.	.	PUNCT
fuelectenerg-3144	768	12	.	.	PUNCT
fuelectenerg-3144	769	1	,	,	PUNCT
fuelectenerg-3144	769	2	xn	xn	X
fuelectenerg-3144	769	3	)	)	PUNCT
fuelectenerg-3144	769	4	=	=	SYM
fuelectenerg-3144	769	5	f(x1	f(x1	ADJ
fuelectenerg-3144	769	6	′	′	NOUN
fuelectenerg-3144	769	7	,	,	PUNCT
fuelectenerg-3144	769	8	x2	x2	PROPN
fuelectenerg-3144	769	9	′	′	NOUN
fuelectenerg-3144	769	10	,	,	PUNCT
fuelectenerg-3144	769	11	.	.	PUNCT
fuelectenerg-3144	769	12	.	.	PUNCT
fuelectenerg-3144	770	1	.	.	PUNCT
fuelectenerg-3144	771	1	,	,	PUNCT
fuelectenerg-3144	771	2	xn	xn	PROPN
fuelectenerg-3144	771	3	)	)	PUNCT
fuelectenerg-3144	771	4	,	,	PUNCT
fuelectenerg-3144	771	5	showing	show	VERB
fuelectenerg-3144	771	6	that	that	SCONJ
fuelectenerg-3144	771	7	simultaneous	simultaneous	ADJ
fuelectenerg-3144	771	8	changes	change	NOUN
fuelectenerg-3144	771	9	in	in	ADP
fuelectenerg-3144	771	10	x1	x1	PROPN
fuelectenerg-3144	771	11	and	and	CCONJ
fuelectenerg-3144	771	12	x2	x2	PROPN
fuelectenerg-3144	771	13	can	can	AUX
fuelectenerg-3144	771	14	not	not	PART
fuelectenerg-3144	771	15	affect	affect	VERB
fuelectenerg-3144	771	16	the	the	DET
fuelectenerg-3144	771	17	value	value	NOUN
fuelectenerg-3144	771	18	of	of	ADP
fuelectenerg-3144	771	19	f	f	PROPN
fuelectenerg-3144	771	20	.	.	PUNCT
fuelectenerg-3144	772	1	hence	hence	ADV
fuelectenerg-3144	772	2	,	,	PUNCT
fuelectenerg-3144	772	3	f	f	PROPN
fuelectenerg-3144	772	4	can	can	AUX
fuelectenerg-3144	772	5	be	be	AUX
fuelectenerg-3144	772	6	computed	compute	VERB
fuelectenerg-3144	772	7	without	without	ADP
fuelectenerg-3144	772	8	knowledge	knowledge	NOUN
fuelectenerg-3144	772	9	of	of	ADP
fuelectenerg-3144	772	10	the	the	DET
fuelectenerg-3144	772	11	values	value	NOUN
fuelectenerg-3144	772	12	of	of	ADP
fuelectenerg-3144	772	13	either	either	CCONJ
fuelectenerg-3144	772	14	x1	x1	PROPN
fuelectenerg-3144	772	15	or	or	CCONJ
fuelectenerg-3144	772	16	x2	x2	PROPN
fuelectenerg-3144	772	17	.	.	PUNCT
fuelectenerg-3144	773	1	this	this	DET
fuelectenerg-3144	773	2	argument	argument	NOUN
fuelectenerg-3144	773	3	breaks	break	VERB
fuelectenerg-3144	773	4	down	down	ADP
fuelectenerg-3144	773	5	if	if	SCONJ
fuelectenerg-3144	773	6	f	f	PROPN
fuelectenerg-3144	773	7	is	be	AUX
fuelectenerg-3144	773	8	not	not	PART
fuelectenerg-3144	773	9	actually	actually	ADV
fuelectenerg-3144	773	10	a	a	DET
fuelectenerg-3144	773	11	function	function	NOUN
fuelectenerg-3144	773	12	but	but	CCONJ
fuelectenerg-3144	773	13	a	a	DET
fuelectenerg-3144	773	14	relation	relation	NOUN
fuelectenerg-3144	773	15	,	,	PUNCT
fuelectenerg-3144	773	16	because	because	SCONJ
fuelectenerg-3144	773	17	then	then	ADV
fuelectenerg-3144	773	18	the	the	DET
fuelectenerg-3144	773	19	value	value	NOUN
fuelectenerg-3144	773	20	of	of	ADP
fuelectenerg-3144	773	21	f	f	PROPN
fuelectenerg-3144	773	22	may	may	AUX
fuelectenerg-3144	773	23	not	not	PART
fuelectenerg-3144	773	24	be	be	AUX
fuelectenerg-3144	773	25	uniquely	uniquely	ADV
fuelectenerg-3144	773	26	defined	define	VERB
fuelectenerg-3144	773	27	at	at	ADP
fuelectenerg-3144	773	28	a	a	DET
fuelectenerg-3144	773	29	given	give	VERB
fuelectenerg-3144	773	30	point	point	NOUN
fuelectenerg-3144	773	31	.	.	PUNCT
fuelectenerg-3144	774	1	we	we	PRON
fuelectenerg-3144	774	2	therefore	therefore	ADV
fuelectenerg-3144	774	3	see	see	VERB
fuelectenerg-3144	774	4	that	that	SCONJ
fuelectenerg-3144	774	5	the	the	DET
fuelectenerg-3144	774	6	procedure	procedure	NOUN
fuelectenerg-3144	774	7	from	from	ADP
fuelectenerg-3144	774	8	the	the	DET
fuelectenerg-3144	774	9	previous	previous	ADJ
fuelectenerg-3144	774	10	section	section	NOUN
fuelectenerg-3144	774	11	,	,	PUNCT
fuelectenerg-3144	774	12	which	which	PRON
fuelectenerg-3144	774	13	only	only	ADV
fuelectenerg-3144	774	14	evaluates	evaluate	VERB
fuelectenerg-3144	774	15	dependency	dependency	NOUN
fuelectenerg-3144	774	16	on	on	ADP
fuelectenerg-3144	774	17	a	a	DET
fuelectenerg-3144	774	18	single	single	ADJ
fuelectenerg-3144	774	19	variable	variable	NOUN
fuelectenerg-3144	774	20	at	at	ADP
fuelectenerg-3144	774	21	a	a	DET
fuelectenerg-3144	774	22	time	time	NOUN
fuelectenerg-3144	774	23	,	,	PUNCT
fuelectenerg-3144	774	24	correctly	correctly	ADV
fuelectenerg-3144	774	25	computes	compute	VERB
fuelectenerg-3144	774	26	cost	cost	NOUN
fuelectenerg-3144	774	27	when	when	SCONJ
fuelectenerg-3144	774	28	all	all	DET
fuelectenerg-3144	774	29	encoded	encode	VERB
fuelectenerg-3144	774	30	transition	transition	NOUN
fuelectenerg-3144	774	31	functions	function	NOUN
fuelectenerg-3144	774	32	are	be	AUX
fuelectenerg-3144	774	33	actual	actual	ADJ
fuelectenerg-3144	774	34	functions	function	NOUN
fuelectenerg-3144	774	35	(	(	PUNCT
fuelectenerg-3144	774	36	i.e.	i.e.	X
fuelectenerg-3144	774	37	,	,	PUNCT
fuelectenerg-3144	774	38	there	there	PRON
fuelectenerg-3144	774	39	are	be	VERB
fuelectenerg-3144	774	40	no	no	DET
fuelectenerg-3144	774	41	“	"	PUNCT
fuelectenerg-3144	774	42	don’t	don’t	NUM
fuelectenerg-3144	774	43	-	-	PUNCT
fuelectenerg-3144	774	44	cares	care	NOUN
fuelectenerg-3144	774	45	”	"	PUNCT
fuelectenerg-3144	774	46	)	)	PUNCT
fuelectenerg-3144	774	47	but	but	CCONJ
fuelectenerg-3144	774	48	may	may	AUX
fuelectenerg-3144	774	49	fail	fail	VERB
fuelectenerg-3144	774	50	if	if	SCONJ
fuelectenerg-3144	774	51	those	those	DET
fuelectenerg-3144	774	52	“	"	PUNCT
fuelectenerg-3144	774	53	functions	function	NOUN
fuelectenerg-3144	774	54	”	"	PUNCT
fuelectenerg-3144	774	55	are	be	AUX
fuelectenerg-3144	774	56	actually	actually	ADV
fuelectenerg-3144	774	57	relations	relation	NOUN
fuelectenerg-3144	774	58	.	.	PUNCT
fuelectenerg-3144	775	1	no	no	DET
fuelectenerg-3144	775	2	“	"	PUNCT
fuelectenerg-3144	775	3	don’t	don’t	NUM
fuelectenerg-3144	775	4	-	-	PUNCT
fuelectenerg-3144	775	5	cares	care	NOUN
fuelectenerg-3144	775	6	”	"	PUNCT
fuelectenerg-3144	775	7	will	will	AUX
fuelectenerg-3144	775	8	exist	exist	VERB
fuelectenerg-3144	775	9	if	if	SCONJ
fuelectenerg-3144	775	10	the	the	DET
fuelectenerg-3144	775	11	state	state	NOUN
fuelectenerg-3144	775	12	and	and	CCONJ
fuelectenerg-3144	775	13	input	input	NOUN
fuelectenerg-3144	775	14	encodings	encoding	NOUN
fuelectenerg-3144	775	15	are	be	AUX
fuelectenerg-3144	775	16	5as	5as	NOUN
fuelectenerg-3144	775	17	in	in	ADP
fuelectenerg-3144	775	18	section	section	NOUN
fuelectenerg-3144	775	19	3.1	3.1	NUM
fuelectenerg-3144	775	20	,	,	PUNCT
fuelectenerg-3144	775	21	the	the	DET
fuelectenerg-3144	775	22	variables	variable	NOUN
fuelectenerg-3144	775	23	x1	x1	PROPN
fuelectenerg-3144	775	24	through	through	ADP
fuelectenerg-3144	775	25	xn	xn	PROPN
fuelectenerg-3144	775	26	here	here	ADV
fuelectenerg-3144	775	27	are	be	AUX
fuelectenerg-3144	775	28	unrelated	unrelated	ADJ
fuelectenerg-3144	775	29	to	to	ADP
fuelectenerg-3144	775	30	the	the	DET
fuelectenerg-3144	775	31	input	input	NOUN
fuelectenerg-3144	775	32	variables	variable	NOUN
fuelectenerg-3144	775	33	of	of	ADP
fuelectenerg-3144	775	34	an	an	DET
fuelectenerg-3144	775	35	fsm	fsm	PROPN
fuelectenerg-3144	775	36	;	;	PUNCT
fuelectenerg-3144	775	37	here	here	ADV
fuelectenerg-3144	775	38	,	,	PUNCT
fuelectenerg-3144	775	39	they	they	PRON
fuelectenerg-3144	775	40	are	be	AUX
fuelectenerg-3144	775	41	simply	simply	ADV
fuelectenerg-3144	775	42	variables	variable	NOUN
fuelectenerg-3144	775	43	in	in	ADP
fuelectenerg-3144	775	44	an	an	DET
fuelectenerg-3144	775	45	arbitrary	arbitrary	ADJ
fuelectenerg-3144	775	46	function	function	NOUN
fuelectenerg-3144	775	47	f	f	NOUN
fuelectenerg-3144	775	48	.	.	PUNCT
fuelectenerg-3144	776	1	6here	6here	NUM
fuelectenerg-3144	776	2	we	we	PRON
fuelectenerg-3144	776	3	use	use	VERB
fuelectenerg-3144	776	4	the	the	DET
fuelectenerg-3144	776	5	notation	notation	NOUN
fuelectenerg-3144	776	6	x1	x1	PROPN
fuelectenerg-3144	776	7	′	′	NUM
fuelectenerg-3144	777	1	simply	simply	ADV
fuelectenerg-3144	777	2	to	to	PART
fuelectenerg-3144	777	3	indicate	indicate	VERB
fuelectenerg-3144	777	4	that	that	SCONJ
fuelectenerg-3144	777	5	the	the	DET
fuelectenerg-3144	777	6	value	value	NOUN
fuelectenerg-3144	777	7	of	of	ADP
fuelectenerg-3144	777	8	x1	x1	PROPN
fuelectenerg-3144	777	9	has	have	AUX
fuelectenerg-3144	777	10	changed	change	VERB
fuelectenerg-3144	777	11	.	.	PUNCT
fuelectenerg-3144	778	1	in	in	ADP
fuelectenerg-3144	778	2	particular	particular	ADJ
fuelectenerg-3144	778	3	,	,	PUNCT
fuelectenerg-3144	778	4	we	we	PRON
fuelectenerg-3144	778	5	do	do	AUX
fuelectenerg-3144	778	6	not	not	PART
fuelectenerg-3144	778	7	use	use	VERB
fuelectenerg-3144	778	8	the	the	DET
fuelectenerg-3144	778	9	prime	prime	NOUN
fuelectenerg-3144	778	10	(	(	PUNCT
fuelectenerg-3144	778	11	′	′	NOUN
fuelectenerg-3144	778	12	)	)	PUNCT
fuelectenerg-3144	778	13	symbol	symbol	NOUN
fuelectenerg-3144	778	14	to	to	PART
fuelectenerg-3144	778	15	indicate	indicate	VERB
fuelectenerg-3144	778	16	logical	logical	ADJ
fuelectenerg-3144	778	17	negation	negation	NOUN
fuelectenerg-3144	778	18	,	,	PUNCT
fuelectenerg-3144	778	19	as	as	SCONJ
fuelectenerg-3144	778	20	is	be	AUX
fuelectenerg-3144	778	21	sometimes	sometimes	ADV
fuelectenerg-3144	778	22	done	do	VERB
fuelectenerg-3144	778	23	.	.	PUNCT
fuelectenerg-3144	779	1	21	21	NUM
fuelectenerg-3144	779	2	188	188	NUM
fuelectenerg-3144	779	3	e.	e.	PROPN
fuelectenerg-3144	779	4	tsai	tsai	PROPN
fuelectenerg-3144	779	5	,	,	PUNCT
fuelectenerg-3144	779	6	m.	m.	PROPN
fuelectenerg-3144	779	7	perkowski	perkowski	PROPN
fuelectenerg-3144	779	8	a	a	DET
fuelectenerg-3144	779	9	quantum	quantum	ADJ
fuelectenerg-3144	779	10	algorithm	algorithm	NOUN
fuelectenerg-3144	779	11	for	for	ADP
fuelectenerg-3144	779	12	automata	automata	NOUN
fuelectenerg-3144	779	13	encoding	encode	VERB
fuelectenerg-3144	779	14	189	189	NUM
fuelectenerg-3144	779	15	i1	i1	PROPN
fuelectenerg-3144	779	16	i2	i2	PROPN
fuelectenerg-3144	779	17	i3	i3	PROPN
fuelectenerg-3144	779	18	s1	s1	PROPN
fuelectenerg-3144	779	19	s2	s2	PROPN
fuelectenerg-3144	779	20	s3	s3	PROPN
fuelectenerg-3144	779	21	s4	s4	PROPN
fuelectenerg-3144	779	22	s5	s5	PROPN
fuelectenerg-3144	779	23	s2	s2	PROPN
fuelectenerg-3144	779	24	s4	s4	PROPN
fuelectenerg-3144	779	25	s5	s5	PROPN
fuelectenerg-3144	779	26	s1	s1	PROPN
fuelectenerg-3144	779	27	s1	s1	PROPN
fuelectenerg-3144	779	28	s1	s1	PROPN
fuelectenerg-3144	779	29	s3	s3	PROPN
fuelectenerg-3144	779	30	s3	s3	PROPN
fuelectenerg-3144	779	31	s1	s1	PROPN
fuelectenerg-3144	779	32	s3	s3	PROPN
fuelectenerg-3144	779	33	s3	s3	PROPN
fuelectenerg-3144	779	34	s3	s3	PROPN
fuelectenerg-3144	779	35	s1	s1	PROPN
fuelectenerg-3144	779	36	s3	s3	PROPN
fuelectenerg-3144	779	37	s1	s1	PROPN
fuelectenerg-3144	779	38	(	(	PUNCT
fuelectenerg-3144	779	39	a	a	NOUN
fuelectenerg-3144	779	40	)	)	PUNCT
fuelectenerg-3144	779	41	q1q2q3s	q1q2q3s	PROPN
fuelectenerg-3144	779	42	s1	s1	NOUN
fuelectenerg-3144	779	43	0	0	NUM
fuelectenerg-3144	779	44	0	0	SYM
fuelectenerg-3144	779	45	0	0	NUM
fuelectenerg-3144	779	46	s2	s2	NOUN
fuelectenerg-3144	779	47	0	0	NUM
fuelectenerg-3144	779	48	1	1	NUM
fuelectenerg-3144	779	49	1	1	NUM
fuelectenerg-3144	779	50	s3	s3	NOUN
fuelectenerg-3144	779	51	1	1	NUM
fuelectenerg-3144	779	52	0	0	NUM
fuelectenerg-3144	779	53	1	1	NUM
fuelectenerg-3144	779	54	s4	s4	NOUN
fuelectenerg-3144	779	55	1	1	NUM
fuelectenerg-3144	779	56	1	1	NUM
fuelectenerg-3144	779	57	0	0	NUM
fuelectenerg-3144	779	58	s5	s5	NOUN
fuelectenerg-3144	779	59	1	1	NUM
fuelectenerg-3144	779	60	1	1	NUM
fuelectenerg-3144	779	61	1	1	NUM
fuelectenerg-3144	779	62	x1	x1	PROPN
fuelectenerg-3144	779	63	x2i	x2i	PROPN
fuelectenerg-3144	779	64	i1	i1	PROPN
fuelectenerg-3144	779	65	0	0	NUM
fuelectenerg-3144	780	1	0	0	NUM
fuelectenerg-3144	780	2	i2	i2	NOUN
fuelectenerg-3144	780	3	0	0	NUM
fuelectenerg-3144	780	4	1	1	NUM
fuelectenerg-3144	780	5	i3	i3	NOUN
fuelectenerg-3144	780	6	1	1	NUM
fuelectenerg-3144	780	7	0	0	NUM
fuelectenerg-3144	780	8	(	(	PUNCT
fuelectenerg-3144	780	9	b	b	NOUN
fuelectenerg-3144	780	10	)	)	PUNCT
fuelectenerg-3144	780	11	1	1	NUM
fuelectenerg-3144	780	12	−	−	NOUN
fuelectenerg-3144	781	1	−	−	NOUN
fuelectenerg-3144	782	1	−	−	NUM
fuelectenerg-3144	782	2	0	0	NUM
fuelectenerg-3144	782	3	0	0	NUM
fuelectenerg-3144	782	4	0	0	NUM
fuelectenerg-3144	782	5	0	0	NUM
fuelectenerg-3144	782	6	1	1	NUM
fuelectenerg-3144	782	7	−	−	NOUN
fuelectenerg-3144	782	8	−	−	NOUN
fuelectenerg-3144	783	1	−	−	NUM
fuelectenerg-3144	783	2	0	0	NUM
fuelectenerg-3144	783	3	0	0	NUM
fuelectenerg-3144	783	4	0	0	NUM
fuelectenerg-3144	783	5	0	0	NUM
fuelectenerg-3144	783	6	1	1	NUM
fuelectenerg-3144	783	7	−	−	NOUN
fuelectenerg-3144	783	8	−	−	NOUN
fuelectenerg-3144	784	1	−	−	NUM
fuelectenerg-3144	784	2	0	0	NUM
fuelectenerg-3144	784	3	0	0	NUM
fuelectenerg-3144	784	4	0	0	NUM
fuelectenerg-3144	784	5	0	0	NUM
fuelectenerg-3144	785	1	−	−	NOUN
fuelectenerg-3144	785	2	−	−	PROPN
fuelectenerg-3144	785	3	−	−	PROPN
fuelectenerg-3144	785	4	−	−	PROPN
fuelectenerg-3144	785	5	−	−	PROPN
fuelectenerg-3144	785	6	−	−	PROPN
fuelectenerg-3144	786	1	−	−	NOUN
fuelectenerg-3144	786	2	−	−	NOUN
fuelectenerg-3144	786	3	00	00	NUM
fuelectenerg-3144	786	4	01	01	NUM
fuelectenerg-3144	786	5	11	11	NUM
fuelectenerg-3144	786	6	10	10	NUM
fuelectenerg-3144	786	7	000	000	NUM
fuelectenerg-3144	786	8	001	001	NUM
fuelectenerg-3144	786	9	011	011	NUM
fuelectenerg-3144	786	10	010	010	NUM
fuelectenerg-3144	786	11	110	110	NUM
fuelectenerg-3144	786	12	111	111	NUM
fuelectenerg-3144	786	13	101	101	NUM
fuelectenerg-3144	786	14	100	100	NUM
fuelectenerg-3144	787	1	q1q2q3	q1q2q3	PRON
fuelectenerg-3144	787	2	x1x2	x1x2	PUNCT
fuelectenerg-3144	787	3	(	(	PUNCT
fuelectenerg-3144	787	4	c	c	X
fuelectenerg-3144	787	5	)	)	PUNCT
fuelectenerg-3144	787	6	figure	figure	NOUN
fuelectenerg-3144	787	7	9	9	NUM
fuelectenerg-3144	787	8	:	:	PUNCT
fuelectenerg-3144	787	9	(	(	PUNCT
fuelectenerg-3144	787	10	a	a	X
fuelectenerg-3144	787	11	)	)	PUNCT
fuelectenerg-3144	787	12	fsm	fsm	PROPN
fuelectenerg-3144	787	13	specification	specification	NOUN
fuelectenerg-3144	787	14	with	with	ADP
fuelectenerg-3144	787	15	numbers	number	NOUN
fuelectenerg-3144	787	16	of	of	ADP
fuelectenerg-3144	787	17	states	state	NOUN
fuelectenerg-3144	787	18	and	and	CCONJ
fuelectenerg-3144	787	19	inputs	input	NOUN
fuelectenerg-3144	787	20	not	not	PART
fuelectenerg-3144	787	21	powers	power	NOUN
fuelectenerg-3144	787	22	of	of	ADP
fuelectenerg-3144	787	23	2	2	NUM
fuelectenerg-3144	787	24	;	;	PUNCT
fuelectenerg-3144	787	25	(	(	PUNCT
fuelectenerg-3144	787	26	b	b	X
fuelectenerg-3144	787	27	)	)	PUNCT
fuelectenerg-3144	787	28	a	a	DET
fuelectenerg-3144	787	29	possible	possible	ADJ
fuelectenerg-3144	787	30	encoding	encoding	NOUN
fuelectenerg-3144	787	31	;	;	PUNCT
fuelectenerg-3144	787	32	(	(	PUNCT
fuelectenerg-3144	787	33	c	c	X
fuelectenerg-3144	787	34	)	)	PUNCT
fuelectenerg-3144	787	35	resulting	result	VERB
fuelectenerg-3144	787	36	form	form	NOUN
fuelectenerg-3144	787	37	of	of	ADP
fuelectenerg-3144	787	38	q+	q+	ADP
fuelectenerg-3144	787	39	2	2	NUM
fuelectenerg-3144	787	40	.	.	PUNCT
fuelectenerg-3144	788	1	not	not	PART
fuelectenerg-3144	788	2	δi	δi	VERB
fuelectenerg-3144	788	3	depends	depend	VERB
fuelectenerg-3144	788	4	on	on	ADP
fuelectenerg-3144	788	5	a	a	DET
fuelectenerg-3144	788	6	given	give	VERB
fuelectenerg-3144	788	7	variable	variable	NOUN
fuelectenerg-3144	788	8	can	can	AUX
fuelectenerg-3144	788	9	not	not	PART
fuelectenerg-3144	788	10	be	be	AUX
fuelectenerg-3144	788	11	answered	answer	VERB
fuelectenerg-3144	788	12	by	by	ADP
fuelectenerg-3144	788	13	the	the	DET
fuelectenerg-3144	788	14	simple	simple	ADJ
fuelectenerg-3144	788	15	procedure	procedure	NOUN
fuelectenerg-3144	788	16	described	describe	VERB
fuelectenerg-3144	788	17	above	above	ADV
fuelectenerg-3144	788	18	.	.	PUNCT
fuelectenerg-3144	789	1	figure	figure	NOUN
fuelectenerg-3144	789	2	9	9	NUM
fuelectenerg-3144	789	3	illustrates	illustrate	VERB
fuelectenerg-3144	789	4	an	an	DET
fuelectenerg-3144	789	5	instance	instance	NOUN
fuelectenerg-3144	789	6	where	where	SCONJ
fuelectenerg-3144	789	7	the	the	DET
fuelectenerg-3144	789	8	procedure	procedure	NOUN
fuelectenerg-3144	789	9	from	from	ADP
fuelectenerg-3144	789	10	the	the	DET
fuelectenerg-3144	789	11	previous	previous	ADJ
fuelectenerg-3144	789	12	section	section	NOUN
fuelectenerg-3144	789	13	fails	fail	VERB
fuelectenerg-3144	789	14	to	to	PART
fuelectenerg-3144	789	15	correctly	correctly	ADV
fuelectenerg-3144	789	16	determine	determine	VERB
fuelectenerg-3144	789	17	the	the	DET
fuelectenerg-3144	789	18	dependencies	dependency	NOUN
fuelectenerg-3144	789	19	of	of	ADP
fuelectenerg-3144	789	20	a	a	DET
fuelectenerg-3144	789	21	function	function	NOUN
fuelectenerg-3144	789	22	δi	δi	NOUN
fuelectenerg-3144	789	23	on	on	ADP
fuelectenerg-3144	789	24	q1	q1	PROPN
fuelectenerg-3144	789	25	through	through	ADP
fuelectenerg-3144	789	26	qn	qn	PROPN
fuelectenerg-3144	789	27	and	and	CCONJ
fuelectenerg-3144	789	28	x1	x1	NUM
fuelectenerg-3144	789	29	through	through	ADP
fuelectenerg-3144	789	30	xm	xm	PROPN
fuelectenerg-3144	789	31	.	.	PUNCT
fuelectenerg-3144	790	1	in	in	ADP
fuelectenerg-3144	790	2	this	this	DET
fuelectenerg-3144	790	3	figure	figure	NOUN
fuelectenerg-3144	790	4	we	we	PRON
fuelectenerg-3144	790	5	have	have	VERB
fuelectenerg-3144	790	6	a	a	DET
fuelectenerg-3144	790	7	state	state	NOUN
fuelectenerg-3144	790	8	machine	machine	NOUN
fuelectenerg-3144	790	9	where	where	SCONJ
fuelectenerg-3144	790	10	the	the	DET
fuelectenerg-3144	790	11	number	number	NOUN
fuelectenerg-3144	790	12	of	of	ADP
fuelectenerg-3144	790	13	states	state	NOUN
fuelectenerg-3144	790	14	(	(	PUNCT
fuelectenerg-3144	790	15	5	5	NUM
fuelectenerg-3144	790	16	)	)	PUNCT
fuelectenerg-3144	790	17	is	be	AUX
fuelectenerg-3144	790	18	not	not	PART
fuelectenerg-3144	790	19	a	a	DET
fuelectenerg-3144	790	20	power	power	NOUN
fuelectenerg-3144	790	21	of	of	ADP
fuelectenerg-3144	790	22	two	two	NUM
fuelectenerg-3144	790	23	.	.	PUNCT
fuelectenerg-3144	791	1	consequently	consequently	ADV
fuelectenerg-3144	791	2	,	,	PUNCT
fuelectenerg-3144	791	3	we	we	PRON
fuelectenerg-3144	791	4	require	require	VERB
fuelectenerg-3144	791	5	at	at	ADV
fuelectenerg-3144	791	6	least	least	ADV
fuelectenerg-3144	791	7	three	three	NUM
fuelectenerg-3144	791	8	flip	flip	NOUN
fuelectenerg-3144	791	9	-	-	PUNCT
fuelectenerg-3144	791	10	flops	flop	NOUN
fuelectenerg-3144	791	11	to	to	PART
fuelectenerg-3144	791	12	implement	implement	VERB
fuelectenerg-3144	791	13	this	this	DET
fuelectenerg-3144	791	14	state	state	NOUN
fuelectenerg-3144	791	15	machine	machine	NOUN
fuelectenerg-3144	791	16	.	.	PUNCT
fuelectenerg-3144	792	1	however	however	ADV
fuelectenerg-3144	792	2	,	,	PUNCT
fuelectenerg-3144	792	3	since	since	SCONJ
fuelectenerg-3144	792	4	eight	eight	NUM
fuelectenerg-3144	792	5	distinct	distinct	ADJ
fuelectenerg-3144	792	6	states	state	NOUN
fuelectenerg-3144	792	7	exist	exist	VERB
fuelectenerg-3144	792	8	for	for	ADP
fuelectenerg-3144	792	9	an	an	DET
fuelectenerg-3144	792	10	array	array	NOUN
fuelectenerg-3144	792	11	of	of	ADP
fuelectenerg-3144	792	12	three	three	NUM
fuelectenerg-3144	792	13	flip	flip	NOUN
fuelectenerg-3144	792	14	-	-	PUNCT
fuelectenerg-3144	792	15	flops	flop	NOUN
fuelectenerg-3144	792	16	,	,	PUNCT
fuelectenerg-3144	792	17	three	three	NUM
fuelectenerg-3144	792	18	flipflop	flipflop	NOUN
fuelectenerg-3144	792	19	array	array	NOUN
fuelectenerg-3144	792	20	states	state	NOUN
fuelectenerg-3144	792	21	remain	remain	VERB
fuelectenerg-3144	792	22	unused	unused	ADJ
fuelectenerg-3144	792	23	.	.	PUNCT
fuelectenerg-3144	793	1	in	in	ADP
fuelectenerg-3144	793	2	other	other	ADJ
fuelectenerg-3144	793	3	words	word	NOUN
fuelectenerg-3144	793	4	,	,	PUNCT
fuelectenerg-3144	793	5	three	three	NUM
fuelectenerg-3144	793	6	of	of	ADP
fuelectenerg-3144	793	7	the	the	DET
fuelectenerg-3144	793	8	eight	eight	NUM
fuelectenerg-3144	793	9	possible	possible	ADJ
fuelectenerg-3144	793	10	flip	flip	NOUN
fuelectenerg-3144	793	11	-	-	PUNCT
fuelectenerg-3144	793	12	flop	flop	NOUN
fuelectenerg-3144	793	13	array	array	NOUN
fuelectenerg-3144	793	14	states	state	NOUN
fuelectenerg-3144	793	15	do	do	AUX
fuelectenerg-3144	793	16	not	not	PART
fuelectenerg-3144	793	17	represent	represent	VERB
fuelectenerg-3144	793	18	any	any	DET
fuelectenerg-3144	793	19	fsm	fsm	PROPN
fuelectenerg-3144	793	20	state	state	NOUN
fuelectenerg-3144	793	21	at	at	ADV
fuelectenerg-3144	793	22	all	all	ADV
fuelectenerg-3144	793	23	.	.	PUNCT
fuelectenerg-3144	794	1	similarly	similarly	ADV
fuelectenerg-3144	794	2	,	,	PUNCT
fuelectenerg-3144	794	3	the	the	DET
fuelectenerg-3144	794	4	number	number	NOUN
fuelectenerg-3144	794	5	of	of	ADP
fuelectenerg-3144	794	6	input	input	NOUN
fuelectenerg-3144	794	7	values	value	NOUN
fuelectenerg-3144	794	8	(	(	PUNCT
fuelectenerg-3144	794	9	3	3	X
fuelectenerg-3144	794	10	)	)	PUNCT
fuelectenerg-3144	794	11	is	be	AUX
fuelectenerg-3144	794	12	also	also	ADV
fuelectenerg-3144	794	13	not	not	PART
fuelectenerg-3144	794	14	a	a	DET
fuelectenerg-3144	794	15	power	power	NOUN
fuelectenerg-3144	794	16	of	of	ADP
fuelectenerg-3144	794	17	two	two	NUM
fuelectenerg-3144	794	18	,	,	PUNCT
fuelectenerg-3144	794	19	and	and	CCONJ
fuelectenerg-3144	794	20	hence	hence	ADV
fuelectenerg-3144	794	21	the	the	DET
fuelectenerg-3144	794	22	input	input	NOUN
fuelectenerg-3144	794	23	is	be	AUX
fuelectenerg-3144	794	24	encoded	encode	VERB
fuelectenerg-3144	794	25	by	by	ADP
fuelectenerg-3144	794	26	two	two	NUM
fuelectenerg-3144	794	27	bits	bit	NOUN
fuelectenerg-3144	794	28	with	with	ADP
fuelectenerg-3144	794	29	one	one	NUM
fuelectenerg-3144	794	30	of	of	ADP
fuelectenerg-3144	794	31	the	the	DET
fuelectenerg-3144	794	32	four	four	NUM
fuelectenerg-3144	794	33	possible	possible	ADJ
fuelectenerg-3144	794	34	combinations	combination	NOUN
fuelectenerg-3144	794	35	remaining	remain	VERB
fuelectenerg-3144	794	36	unused	unused	ADJ
fuelectenerg-3144	794	37	.	.	PUNCT
fuelectenerg-3144	795	1	the	the	DET
fuelectenerg-3144	795	2	effects	effect	NOUN
fuelectenerg-3144	795	3	of	of	ADP
fuelectenerg-3144	795	4	these	these	DET
fuelectenerg-3144	795	5	unused	unused	ADJ
fuelectenerg-3144	795	6	states	state	NOUN
fuelectenerg-3144	795	7	and	and	CCONJ
fuelectenerg-3144	795	8	input	input	NOUN
fuelectenerg-3144	795	9	combinations	combination	NOUN
fuelectenerg-3144	795	10	can	can	AUX
fuelectenerg-3144	795	11	be	be	AUX
fuelectenerg-3144	795	12	seen	see	VERB
fuelectenerg-3144	795	13	in	in	ADP
fuelectenerg-3144	795	14	the	the	DET
fuelectenerg-3144	795	15	encoded	encode	VERB
fuelectenerg-3144	795	16	transition	transition	NOUN
fuelectenerg-3144	795	17	function	function	NOUN
fuelectenerg-3144	795	18	δ2	δ2	PROPN
fuelectenerg-3144	795	19	,	,	PUNCT
fuelectenerg-3144	795	20	where	where	SCONJ
fuelectenerg-3144	795	21	the	the	DET
fuelectenerg-3144	795	22	value	value	NOUN
fuelectenerg-3144	795	23	of	of	ADP
fuelectenerg-3144	795	24	δ2	δ2	PROPN
fuelectenerg-3144	795	25	for	for	ADP
fuelectenerg-3144	795	26	the	the	DET
fuelectenerg-3144	795	27	unused	unused	ADJ
fuelectenerg-3144	795	28	states	state	NOUN
fuelectenerg-3144	795	29	is	be	AUX
fuelectenerg-3144	795	30	recorded	record	VERB
fuelectenerg-3144	795	31	as	as	ADP
fuelectenerg-3144	795	32	a	a	DET
fuelectenerg-3144	795	33	“	"	PUNCT
fuelectenerg-3144	795	34	−	−	PROPN
fuelectenerg-3144	795	35	”	"	PUNCT
fuelectenerg-3144	795	36	,	,	PUNCT
fuelectenerg-3144	795	37	indicating	indicate	VERB
fuelectenerg-3144	795	38	a	a	DET
fuelectenerg-3144	795	39	“	"	PUNCT
fuelectenerg-3144	795	40	don’t	don’t	NUM
fuelectenerg-3144	795	41	-	-	PUNCT
fuelectenerg-3144	795	42	care	care	NOUN
fuelectenerg-3144	795	43	”	"	PUNCT
fuelectenerg-3144	795	44	.	.	PUNCT
fuelectenerg-3144	796	1	a	a	DET
fuelectenerg-3144	796	2	“	"	PUNCT
fuelectenerg-3144	796	3	don’t	don’t	NUM
fuelectenerg-3144	796	4	-	-	PUNCT
fuelectenerg-3144	796	5	care	care	NOUN
fuelectenerg-3144	796	6	”	"	PUNCT
fuelectenerg-3144	796	7	output	output	NOUN
fuelectenerg-3144	796	8	indicates	indicate	VERB
fuelectenerg-3144	796	9	that	that	SCONJ
fuelectenerg-3144	796	10	the	the	DET
fuelectenerg-3144	796	11	digital	digital	ADJ
fuelectenerg-3144	796	12	logic	logic	NOUN
fuelectenerg-3144	796	13	implementing	implement	VERB
fuelectenerg-3144	796	14	the	the	DET
fuelectenerg-3144	796	15	fsm	fsm	PROPN
fuelectenerg-3144	796	16	may	may	AUX
fuelectenerg-3144	796	17	output	output	VERB
fuelectenerg-3144	796	18	a	a	DET
fuelectenerg-3144	796	19	value	value	NOUN
fuelectenerg-3144	796	20	of	of	ADP
fuelectenerg-3144	796	21	either	either	CCONJ
fuelectenerg-3144	796	22	0	0	NUM
fuelectenerg-3144	796	23	or	or	CCONJ
fuelectenerg-3144	796	24	1	1	NUM
fuelectenerg-3144	796	25	for	for	ADP
fuelectenerg-3144	796	26	that	that	DET
fuelectenerg-3144	796	27	combination	combination	NOUN
fuelectenerg-3144	796	28	of	of	ADP
fuelectenerg-3144	796	29	flip	flip	NOUN
fuelectenerg-3144	796	30	-	-	PUNCT
fuelectenerg-3144	796	31	flop	flop	NOUN
fuelectenerg-3144	796	32	states	state	NOUN
fuelectenerg-3144	796	33	and	and	CCONJ
fuelectenerg-3144	796	34	inputs	input	NOUN
fuelectenerg-3144	796	35	,	,	PUNCT
fuelectenerg-3144	796	36	since	since	SCONJ
fuelectenerg-3144	796	37	the	the	DET
fuelectenerg-3144	796	38	combination	combination	NOUN
fuelectenerg-3144	796	39	should	should	AUX
fuelectenerg-3144	796	40	never	never	ADV
fuelectenerg-3144	796	41	occur	occur	VERB
fuelectenerg-3144	796	42	during	during	ADP
fuelectenerg-3144	796	43	normal	normal	ADJ
fuelectenerg-3144	796	44	operation	operation	NOUN
fuelectenerg-3144	796	45	.	.	PUNCT
fuelectenerg-3144	797	1	we	we	PRON
fuelectenerg-3144	797	2	now	now	ADV
fuelectenerg-3144	797	3	observe	observe	VERB
fuelectenerg-3144	797	4	that	that	SCONJ
fuelectenerg-3144	797	5	at	at	ADV
fuelectenerg-3144	797	6	least	least	ADV
fuelectenerg-3144	797	7	three	three	NUM
fuelectenerg-3144	797	8	possible	possible	ADJ
fuelectenerg-3144	797	9	implementations	implementation	NOUN
fuelectenerg-3144	797	10	exist	exist	VERB
fuelectenerg-3144	797	11	for	for	ADP
fuelectenerg-3144	797	12	δ2	δ2	VERB
fuelectenerg-3144	797	13	:	:	PUNCT
fuelectenerg-3144	797	14	q+	q+	ADP
fuelectenerg-3144	797	15	2	2	NUM
fuelectenerg-3144	797	16	=	=	SYM
fuelectenerg-3144	797	17	¬q1	¬q1	NOUN
fuelectenerg-3144	797	18	∧	∧	PROPN
fuelectenerg-3144	797	19	¬q2	¬q2	NOUN
fuelectenerg-3144	797	20	,	,	PUNCT
fuelectenerg-3144	797	21	(	(	PUNCT
fuelectenerg-3144	797	22	3	3	X
fuelectenerg-3144	797	23	)	)	PUNCT
fuelectenerg-3144	797	24	q+	q+	ADP
fuelectenerg-3144	797	25	2	2	NUM
fuelectenerg-3144	797	26	=	=	SYM
fuelectenerg-3144	797	27	¬q1	¬q1	NOUN
fuelectenerg-3144	797	28	∧	∧	NOUN
fuelectenerg-3144	797	29	¬q3	¬q3	NOUN
fuelectenerg-3144	797	30	,	,	PUNCT
fuelectenerg-3144	797	31	(	(	PUNCT
fuelectenerg-3144	797	32	4	4	NUM
fuelectenerg-3144	797	33	)	)	PUNCT
fuelectenerg-3144	797	34	q+	q+	ADP
fuelectenerg-3144	797	35	2	2	NUM
fuelectenerg-3144	797	36	=	=	SYM
fuelectenerg-3144	797	37	¬q2	¬q2	ADJ
fuelectenerg-3144	797	38	∧	∧	PROPN
fuelectenerg-3144	797	39	¬q3	¬q3	NOUN
fuelectenerg-3144	797	40	.	.	PUNCT
fuelectenerg-3144	798	1	(	(	PUNCT
fuelectenerg-3144	798	2	5	5	NUM
fuelectenerg-3144	798	3	)	)	PUNCT
fuelectenerg-3144	798	4	thus	thus	ADV
fuelectenerg-3144	798	5	,	,	PUNCT
fuelectenerg-3144	798	6	it	it	PRON
fuelectenerg-3144	798	7	is	be	AUX
fuelectenerg-3144	798	8	clearly	clearly	ADV
fuelectenerg-3144	798	9	possible	possible	ADJ
fuelectenerg-3144	798	10	to	to	PART
fuelectenerg-3144	798	11	implement	implement	VERB
fuelectenerg-3144	798	12	δ2	δ2	VERB
fuelectenerg-3144	798	13	with	with	ADP
fuelectenerg-3144	798	14	a	a	DET
fuelectenerg-3144	798	15	dependency	dependency	NOUN
fuelectenerg-3144	798	16	on	on	ADP
fuelectenerg-3144	798	17	only	only	ADV
fuelectenerg-3144	798	18	two	two	NUM
fuelectenerg-3144	798	19	variables	variable	NOUN
fuelectenerg-3144	798	20	.	.	PUNCT
fuelectenerg-3144	799	1	on	on	ADP
fuelectenerg-3144	799	2	the	the	DET
fuelectenerg-3144	799	3	other	other	ADJ
fuelectenerg-3144	799	4	hand	hand	NOUN
fuelectenerg-3144	799	5	,	,	PUNCT
fuelectenerg-3144	799	6	one	one	PRON
fuelectenerg-3144	799	7	can	can	AUX
fuelectenerg-3144	799	8	see	see	VERB
fuelectenerg-3144	799	9	from	from	ADP
fuelectenerg-3144	799	10	inspection	inspection	NOUN
fuelectenerg-3144	799	11	that	that	PRON
fuelectenerg-3144	799	12	any	any	DET
fuelectenerg-3144	799	13	one	one	NUM
fuelectenerg-3144	799	14	of	of	ADP
fuelectenerg-3144	799	15	q1	q1	PROPN
fuelectenerg-3144	799	16	,	,	PUNCT
fuelectenerg-3144	799	17	q2	q2	NOUN
fuelectenerg-3144	799	18	,	,	PUNCT
fuelectenerg-3144	799	19	q3	q3	PROPN
fuelectenerg-3144	799	20	,	,	PUNCT
fuelectenerg-3144	799	21	x1	x1	PROPN
fuelectenerg-3144	799	22	,	,	PUNCT
fuelectenerg-3144	799	23	or	or	CCONJ
fuelectenerg-3144	799	24	x2	x2	PROPN
fuelectenerg-3144	799	25	alone	alone	ADV
fuelectenerg-3144	799	26	is	be	AUX
fuelectenerg-3144	799	27	not	not	PART
fuelectenerg-3144	799	28	enough	enough	ADJ
fuelectenerg-3144	799	29	to	to	PART
fuelectenerg-3144	799	30	determine	determine	VERB
fuelectenerg-3144	799	31	the	the	DET
fuelectenerg-3144	799	32	value	value	NOUN
fuelectenerg-3144	799	33	of	of	ADP
fuelectenerg-3144	799	34	δ2	δ2	PROPN
fuelectenerg-3144	799	35	.	.	PUNCT
fuelectenerg-3144	800	1	hence	hence	ADV
fuelectenerg-3144	800	2	,	,	PUNCT
fuelectenerg-3144	800	3	our	our	PRON
fuelectenerg-3144	800	4	cost	cost	NOUN
fuelectenerg-3144	800	5	model	model	NOUN
fuelectenerg-3144	800	6	assigns	assign	NOUN
fuelectenerg-3144	800	7	δ2	δ2	VERB
fuelectenerg-3144	800	8	a	a	DET
fuelectenerg-3144	800	9	cost	cost	NOUN
fuelectenerg-3144	800	10	of	of	ADP
fuelectenerg-3144	800	11	2	2	NUM
fuelectenerg-3144	800	12	.	.	PUNCT
fuelectenerg-3144	801	1	however	however	ADV
fuelectenerg-3144	801	2	,	,	PUNCT
fuelectenerg-3144	801	3	the	the	DET
fuelectenerg-3144	801	4	procedure	procedure	NOUN
fuelectenerg-3144	801	5	from	from	ADP
fuelectenerg-3144	801	6	the	the	DET
fuelectenerg-3144	801	7	previous	previous	ADJ
fuelectenerg-3144	801	8	section	section	NOUN
fuelectenerg-3144	801	9	finds	find	VERB
fuelectenerg-3144	801	10	the	the	DET
fuelectenerg-3144	801	11	cost	cost	NOUN
fuelectenerg-3144	801	12	of	of	ADP
fuelectenerg-3144	801	13	δ2	δ2	ADJ
fuelectenerg-3144	801	14	to	to	PART
fuelectenerg-3144	801	15	be	be	AUX
fuelectenerg-3144	801	16	0	0	NUM
fuelectenerg-3144	801	17	.	.	PUNCT
fuelectenerg-3144	802	1	for	for	ADP
fuelectenerg-3144	802	2	instance	instance	NOUN
fuelectenerg-3144	802	3	,	,	PUNCT
fuelectenerg-3144	802	4	when	when	SCONJ
fuelectenerg-3144	802	5	considering	consider	VERB
fuelectenerg-3144	802	6	whether	whether	SCONJ
fuelectenerg-3144	802	7	δ2	δ2	VERB
fuelectenerg-3144	802	8	depends	depend	VERB
fuelectenerg-3144	802	9	on	on	ADP
fuelectenerg-3144	802	10	q1	q1	PROPN
fuelectenerg-3144	802	11	,	,	PUNCT
fuelectenerg-3144	802	12	the	the	DET
fuelectenerg-3144	802	13	procedure	procedure	NOUN
fuelectenerg-3144	802	14	considers	consider	VERB
fuelectenerg-3144	802	15	all	all	DET
fuelectenerg-3144	802	16	pairs	pair	NOUN
fuelectenerg-3144	802	17	of	of	ADP
fuelectenerg-3144	802	18	states	state	NOUN
fuelectenerg-3144	802	19	(	(	PUNCT
fuelectenerg-3144	802	20	s	s	PROPN
fuelectenerg-3144	802	21	,	,	PUNCT
fuelectenerg-3144	802	22	s′	s′	X
fuelectenerg-3144	802	23	)	)	PUNCT
fuelectenerg-3144	802	24	whose	whose	DET
fuelectenerg-3144	802	25	encodings	encoding	NOUN
fuelectenerg-3144	802	26	differ	differ	VERB
fuelectenerg-3144	802	27	only	only	ADV
fuelectenerg-3144	802	28	in	in	ADP
fuelectenerg-3144	802	29	q1	q1	PROPN
fuelectenerg-3144	802	30	,	,	PUNCT
fuelectenerg-3144	802	31	and	and	CCONJ
fuelectenerg-3144	802	32	then	then	ADV
fuelectenerg-3144	802	33	examines	examine	VERB
fuelectenerg-3144	802	34	whether	whether	SCONJ
fuelectenerg-3144	802	35	the	the	DET
fuelectenerg-3144	802	36	encodings	encoding	NOUN
fuelectenerg-3144	802	37	of	of	ADP
fuelectenerg-3144	802	38	δ(s	δ(s	PROPN
fuelectenerg-3144	802	39	,	,	PUNCT
fuelectenerg-3144	802	40	i	i	NOUN
fuelectenerg-3144	802	41	)	)	PUNCT
fuelectenerg-3144	802	42	and	and	CCONJ
fuelectenerg-3144	802	43	δ(s′	δ(s′	PROPN
fuelectenerg-3144	802	44	,	,	PUNCT
fuelectenerg-3144	802	45	i	i	PRON
fuelectenerg-3144	802	46	)	)	PUNCT
fuelectenerg-3144	802	47	differ	differ	VERB
fuelectenerg-3144	802	48	20	20	NUM
fuelectenerg-3144	802	49	in	in	ADP
fuelectenerg-3144	802	50	q2	q2	NOUN
fuelectenerg-3144	802	51	for	for	ADP
fuelectenerg-3144	802	52	any	any	DET
fuelectenerg-3144	802	53	input	input	NOUN
fuelectenerg-3144	802	54	value	value	NOUN
fuelectenerg-3144	802	55	i.	i.	NOUN
fuelectenerg-3144	802	56	in	in	ADP
fuelectenerg-3144	802	57	this	this	DET
fuelectenerg-3144	802	58	case	case	NOUN
fuelectenerg-3144	802	59	,	,	PUNCT
fuelectenerg-3144	802	60	the	the	DET
fuelectenerg-3144	802	61	only	only	ADJ
fuelectenerg-3144	802	62	such	such	ADJ
fuelectenerg-3144	802	63	pair	pair	NOUN
fuelectenerg-3144	802	64	of	of	ADP
fuelectenerg-3144	802	65	states	state	NOUN
fuelectenerg-3144	802	66	is	be	AUX
fuelectenerg-3144	802	67	(	(	PUNCT
fuelectenerg-3144	802	68	s2	s2	PROPN
fuelectenerg-3144	802	69	,	,	PUNCT
fuelectenerg-3144	802	70	s5	s5	PROPN
fuelectenerg-3144	802	71	)	)	PUNCT
fuelectenerg-3144	802	72	,	,	PUNCT
fuelectenerg-3144	802	73	and	and	CCONJ
fuelectenerg-3144	802	74	under	under	ADP
fuelectenerg-3144	802	75	δ	δ	PROPN
fuelectenerg-3144	802	76	with	with	ADP
fuelectenerg-3144	802	77	i	i	PROPN
fuelectenerg-3144	802	78	=	=	PROPN
fuelectenerg-3144	802	79	i1	i1	PROPN
fuelectenerg-3144	802	80	,	,	PUNCT
fuelectenerg-3144	802	81	i	i	PROPN
fuelectenerg-3144	802	82	=	=	PROPN
fuelectenerg-3144	802	83	i2	i2	PROPN
fuelectenerg-3144	802	84	,	,	PUNCT
fuelectenerg-3144	802	85	and	and	CCONJ
fuelectenerg-3144	802	86	i	i	NOUN
fuelectenerg-3144	802	87	=	=	SYM
fuelectenerg-3144	802	88	i3	i3	PROPN
fuelectenerg-3144	802	89	,	,	PUNCT
fuelectenerg-3144	802	90	the	the	DET
fuelectenerg-3144	802	91	images	image	NOUN
fuelectenerg-3144	802	92	of	of	ADP
fuelectenerg-3144	802	93	this	this	DET
fuelectenerg-3144	802	94	pair	pair	NOUN
fuelectenerg-3144	802	95	are	be	AUX
fuelectenerg-3144	802	96	(	(	PUNCT
fuelectenerg-3144	802	97	s1	s1	NOUN
fuelectenerg-3144	802	98	,	,	PUNCT
fuelectenerg-3144	802	99	s1	s1	NOUN
fuelectenerg-3144	802	100	)	)	PUNCT
fuelectenerg-3144	802	101	,	,	PUNCT
fuelectenerg-3144	802	102	(	(	PUNCT
fuelectenerg-3144	802	103	s1	s1	NOUN
fuelectenerg-3144	802	104	,	,	PUNCT
fuelectenerg-3144	802	105	s3	s3	PROPN
fuelectenerg-3144	802	106	)	)	PUNCT
fuelectenerg-3144	802	107	,	,	PUNCT
fuelectenerg-3144	802	108	and	and	CCONJ
fuelectenerg-3144	802	109	(	(	PUNCT
fuelectenerg-3144	802	110	s1	s1	NOUN
fuelectenerg-3144	802	111	,	,	PUNCT
fuelectenerg-3144	802	112	s1	s1	NOUN
fuelectenerg-3144	802	113	)	)	PUNCT
fuelectenerg-3144	802	114	,	,	PUNCT
fuelectenerg-3144	802	115	respectively	respectively	ADV
fuelectenerg-3144	802	116	.	.	PUNCT
fuelectenerg-3144	803	1	for	for	ADP
fuelectenerg-3144	803	2	all	all	DET
fuelectenerg-3144	803	3	three	three	NUM
fuelectenerg-3144	803	4	image	image	NOUN
fuelectenerg-3144	803	5	pairs	pair	NOUN
fuelectenerg-3144	803	6	,	,	PUNCT
fuelectenerg-3144	803	7	q2	q2	NOUN
fuelectenerg-3144	803	8	does	do	AUX
fuelectenerg-3144	803	9	not	not	PART
fuelectenerg-3144	803	10	differ	differ	VERB
fuelectenerg-3144	803	11	between	between	ADP
fuelectenerg-3144	803	12	the	the	DET
fuelectenerg-3144	803	13	encoded	encode	VERB
fuelectenerg-3144	803	14	values	value	NOUN
fuelectenerg-3144	803	15	of	of	ADP
fuelectenerg-3144	803	16	the	the	DET
fuelectenerg-3144	803	17	two	two	NUM
fuelectenerg-3144	803	18	states	state	NOUN
fuelectenerg-3144	803	19	in	in	ADP
fuelectenerg-3144	803	20	the	the	DET
fuelectenerg-3144	803	21	pair	pair	NOUN
fuelectenerg-3144	803	22	.	.	PUNCT
fuelectenerg-3144	804	1	thus	thus	ADV
fuelectenerg-3144	804	2	,	,	PUNCT
fuelectenerg-3144	804	3	the	the	DET
fuelectenerg-3144	804	4	procedure	procedure	NOUN
fuelectenerg-3144	804	5	determines	determine	VERB
fuelectenerg-3144	804	6	that	that	PRON
fuelectenerg-3144	804	7	δ2	δ2	VERB
fuelectenerg-3144	804	8	does	do	AUX
fuelectenerg-3144	804	9	not	not	PART
fuelectenerg-3144	804	10	depend	depend	VERB
fuelectenerg-3144	804	11	on	on	ADP
fuelectenerg-3144	804	12	q1	q1	PROPN
fuelectenerg-3144	804	13	.	.	PUNCT
fuelectenerg-3144	805	1	in	in	ADP
fuelectenerg-3144	805	2	a	a	DET
fuelectenerg-3144	805	3	similar	similar	ADJ
fuelectenerg-3144	805	4	fashion	fashion	NOUN
fuelectenerg-3144	805	5	,	,	PUNCT
fuelectenerg-3144	805	6	the	the	DET
fuelectenerg-3144	805	7	procedure	procedure	NOUN
fuelectenerg-3144	805	8	also	also	ADV
fuelectenerg-3144	805	9	determines	determine	VERB
fuelectenerg-3144	805	10	that	that	SCONJ
fuelectenerg-3144	805	11	δ2	δ2	VERB
fuelectenerg-3144	805	12	does	do	AUX
fuelectenerg-3144	805	13	not	not	PART
fuelectenerg-3144	805	14	depend	depend	VERB
fuelectenerg-3144	805	15	on	on	ADP
fuelectenerg-3144	805	16	q2	q2	NOUN
fuelectenerg-3144	805	17	,	,	PUNCT
fuelectenerg-3144	805	18	q3	q3	PROPN
fuelectenerg-3144	805	19	,	,	PUNCT
fuelectenerg-3144	805	20	x1	x1	PROPN
fuelectenerg-3144	805	21	,	,	PUNCT
fuelectenerg-3144	805	22	or	or	CCONJ
fuelectenerg-3144	805	23	x2	x2	NOUN
fuelectenerg-3144	805	24	,	,	PUNCT
fuelectenerg-3144	805	25	and	and	CCONJ
fuelectenerg-3144	805	26	consequently	consequently	ADV
fuelectenerg-3144	805	27	calculates	calculate	VERB
fuelectenerg-3144	805	28	the	the	DET
fuelectenerg-3144	805	29	cost	cost	NOUN
fuelectenerg-3144	805	30	of	of	ADP
fuelectenerg-3144	805	31	δ2	δ2	VERB
fuelectenerg-3144	805	32	as	as	ADP
fuelectenerg-3144	805	33	0	0	NUM
fuelectenerg-3144	805	34	.	.	PUNCT
fuelectenerg-3144	806	1	this	this	DET
fuelectenerg-3144	806	2	conclusion	conclusion	NOUN
fuelectenerg-3144	806	3	is	be	AUX
fuelectenerg-3144	806	4	clearly	clearly	ADV
fuelectenerg-3144	806	5	incorrect	incorrect	ADJ
fuelectenerg-3144	806	6	since	since	SCONJ
fuelectenerg-3144	806	7	δ2	δ2	VERB
fuelectenerg-3144	806	8	is	be	AUX
fuelectenerg-3144	806	9	not	not	PART
fuelectenerg-3144	806	10	constant	constant	ADJ
fuelectenerg-3144	806	11	and	and	CCONJ
fuelectenerg-3144	806	12	must	must	AUX
fuelectenerg-3144	806	13	therefore	therefore	ADV
fuelectenerg-3144	806	14	depend	depend	VERB
fuelectenerg-3144	806	15	on	on	ADP
fuelectenerg-3144	806	16	at	at	ADV
fuelectenerg-3144	806	17	least	least	ADV
fuelectenerg-3144	806	18	one	one	NUM
fuelectenerg-3144	806	19	variable	variable	NOUN
fuelectenerg-3144	806	20	.	.	PUNCT
fuelectenerg-3144	807	1	indeed	indeed	ADV
fuelectenerg-3144	807	2	,	,	PUNCT
fuelectenerg-3144	807	3	we	we	PRON
fuelectenerg-3144	807	4	previously	previously	ADV
fuelectenerg-3144	807	5	determined	determine	VERB
fuelectenerg-3144	807	6	the	the	DET
fuelectenerg-3144	807	7	minimum	minimum	ADJ
fuelectenerg-3144	807	8	number	number	NOUN
fuelectenerg-3144	807	9	of	of	ADP
fuelectenerg-3144	807	10	dependencies	dependency	NOUN
fuelectenerg-3144	807	11	to	to	PART
fuelectenerg-3144	807	12	be	be	AUX
fuelectenerg-3144	807	13	2	2	NUM
fuelectenerg-3144	807	14	.	.	PUNCT
fuelectenerg-3144	808	1	our	our	PRON
fuelectenerg-3144	808	2	procedure	procedure	NOUN
fuelectenerg-3144	808	3	’s	’s	PART
fuelectenerg-3144	808	4	failure	failure	NOUN
fuelectenerg-3144	808	5	to	to	PART
fuelectenerg-3144	808	6	correctly	correctly	ADV
fuelectenerg-3144	808	7	determine	determine	VERB
fuelectenerg-3144	808	8	cost	cost	NOUN
fuelectenerg-3144	808	9	in	in	ADP
fuelectenerg-3144	808	10	this	this	DET
fuelectenerg-3144	808	11	case	case	NOUN
fuelectenerg-3144	808	12	ultimately	ultimately	ADV
fuelectenerg-3144	808	13	arises	arise	VERB
fuelectenerg-3144	808	14	from	from	ADP
fuelectenerg-3144	808	15	the	the	DET
fuelectenerg-3144	808	16	fact	fact	NOUN
fuelectenerg-3144	808	17	that	that	SCONJ
fuelectenerg-3144	808	18	,	,	PUNCT
fuelectenerg-3144	808	19	considered	consider	VERB
fuelectenerg-3144	808	20	individually	individually	ADV
fuelectenerg-3144	808	21	,	,	PUNCT
fuelectenerg-3144	808	22	δ2	δ2	VERB
fuelectenerg-3144	808	23	need	need	AUX
fuelectenerg-3144	808	24	not	not	PART
fuelectenerg-3144	808	25	depend	depend	VERB
fuelectenerg-3144	808	26	on	on	ADP
fuelectenerg-3144	808	27	any	any	DET
fuelectenerg-3144	808	28	particular	particular	ADJ
fuelectenerg-3144	808	29	one	one	NUM
fuelectenerg-3144	808	30	of	of	ADP
fuelectenerg-3144	808	31	q1	q1	PROPN
fuelectenerg-3144	808	32	,	,	PUNCT
fuelectenerg-3144	808	33	q2	q2	NOUN
fuelectenerg-3144	808	34	,	,	PUNCT
fuelectenerg-3144	808	35	and	and	CCONJ
fuelectenerg-3144	808	36	q3	q3	PROPN
fuelectenerg-3144	808	37	.	.	PUNCT
fuelectenerg-3144	809	1	for	for	ADP
fuelectenerg-3144	809	2	instance	instance	NOUN
fuelectenerg-3144	809	3	,	,	PUNCT
fuelectenerg-3144	809	4	eq	eq	NOUN
fuelectenerg-3144	809	5	.	.	PROPN
fuelectenerg-3144	809	6	5	5	NUM
fuelectenerg-3144	809	7	implements	implement	NOUN
fuelectenerg-3144	809	8	δ2	δ2	VERB
fuelectenerg-3144	809	9	without	without	ADP
fuelectenerg-3144	809	10	a	a	DET
fuelectenerg-3144	809	11	dependency	dependency	NOUN
fuelectenerg-3144	809	12	on	on	ADP
fuelectenerg-3144	809	13	q1	q1	PROPN
fuelectenerg-3144	809	14	.	.	PUNCT
fuelectenerg-3144	810	1	similarly	similarly	ADV
fuelectenerg-3144	810	2	,	,	PUNCT
fuelectenerg-3144	810	3	eq	eq	NOUN
fuelectenerg-3144	810	4	.	.	PROPN
fuelectenerg-3144	810	5	4	4	NUM
fuelectenerg-3144	810	6	and	and	CCONJ
fuelectenerg-3144	810	7	eq	eq	NOUN
fuelectenerg-3144	810	8	.	.	PROPN
fuelectenerg-3144	810	9	3	3	NUM
fuelectenerg-3144	810	10	implement	implement	VERB
fuelectenerg-3144	810	11	δ2	δ2	VERB
fuelectenerg-3144	810	12	without	without	ADP
fuelectenerg-3144	810	13	dependencies	dependency	NOUN
fuelectenerg-3144	810	14	on	on	ADP
fuelectenerg-3144	810	15	q2	q2	NOUN
fuelectenerg-3144	810	16	and	and	CCONJ
fuelectenerg-3144	810	17	q3	q3	PROPN
fuelectenerg-3144	810	18	,	,	PUNCT
fuelectenerg-3144	810	19	respectively	respectively	ADV
fuelectenerg-3144	810	20	.	.	PUNCT
fuelectenerg-3144	811	1	it	it	PRON
fuelectenerg-3144	811	2	is	be	AUX
fuelectenerg-3144	811	3	however	however	ADV
fuelectenerg-3144	811	4	not	not	PART
fuelectenerg-3144	811	5	possible	possible	ADJ
fuelectenerg-3144	811	6	to	to	PART
fuelectenerg-3144	811	7	simultaneously	simultaneously	ADV
fuelectenerg-3144	811	8	avoid	avoid	VERB
fuelectenerg-3144	811	9	two	two	NUM
fuelectenerg-3144	811	10	of	of	ADP
fuelectenerg-3144	811	11	these	these	DET
fuelectenerg-3144	811	12	dependencies	dependency	NOUN
fuelectenerg-3144	811	13	.	.	PUNCT
fuelectenerg-3144	812	1	in	in	ADP
fuelectenerg-3144	812	2	other	other	ADJ
fuelectenerg-3144	812	3	words	word	NOUN
fuelectenerg-3144	812	4	,	,	PUNCT
fuelectenerg-3144	812	5	any	any	DET
fuelectenerg-3144	812	6	implementation	implementation	NOUN
fuelectenerg-3144	812	7	of	of	ADP
fuelectenerg-3144	812	8	δ2	δ2	PROPN
fuelectenerg-3144	812	9	that	that	PRON
fuelectenerg-3144	812	10	lacks	lack	VERB
fuelectenerg-3144	812	11	a	a	DET
fuelectenerg-3144	812	12	dependency	dependency	NOUN
fuelectenerg-3144	812	13	on	on	ADP
fuelectenerg-3144	812	14	q1	q1	PROPN
fuelectenerg-3144	812	15	must	must	AUX
fuelectenerg-3144	812	16	then	then	ADV
fuelectenerg-3144	812	17	depend	depend	VERB
fuelectenerg-3144	812	18	on	on	ADP
fuelectenerg-3144	812	19	both	both	PRON
fuelectenerg-3144	812	20	q2	q2	NOUN
fuelectenerg-3144	812	21	and	and	CCONJ
fuelectenerg-3144	812	22	q3	q3	PROPN
fuelectenerg-3144	812	23	.	.	PUNCT
fuelectenerg-3144	813	1	so	so	ADV
fuelectenerg-3144	813	2	,	,	PUNCT
fuelectenerg-3144	813	3	although	although	SCONJ
fuelectenerg-3144	813	4	the	the	DET
fuelectenerg-3144	813	5	implementation	implementation	NOUN
fuelectenerg-3144	813	6	given	give	VERB
fuelectenerg-3144	813	7	by	by	ADP
fuelectenerg-3144	813	8	eq	eq	ADJ
fuelectenerg-3144	813	9	.	.	PROPN
fuelectenerg-3144	813	10	5	5	NUM
fuelectenerg-3144	813	11	does	do	AUX
fuelectenerg-3144	813	12	not	not	PART
fuelectenerg-3144	813	13	depend	depend	VERB
fuelectenerg-3144	813	14	on	on	ADP
fuelectenerg-3144	813	15	q1	q1	PROPN
fuelectenerg-3144	813	16	,	,	PUNCT
fuelectenerg-3144	813	17	it	it	PRON
fuelectenerg-3144	813	18	depends	depend	VERB
fuelectenerg-3144	813	19	on	on	ADP
fuelectenerg-3144	813	20	both	both	PRON
fuelectenerg-3144	813	21	q2	q2	NOUN
fuelectenerg-3144	813	22	and	and	CCONJ
fuelectenerg-3144	813	23	q3	q3	PROPN
fuelectenerg-3144	813	24	.	.	PUNCT
fuelectenerg-3144	814	1	the	the	DET
fuelectenerg-3144	814	2	procedure	procedure	NOUN
fuelectenerg-3144	814	3	from	from	ADP
fuelectenerg-3144	814	4	the	the	DET
fuelectenerg-3144	814	5	previous	previous	ADJ
fuelectenerg-3144	814	6	section	section	NOUN
fuelectenerg-3144	814	7	assumes	assume	VERB
fuelectenerg-3144	814	8	(	(	PUNCT
fuelectenerg-3144	814	9	in	in	ADP
fuelectenerg-3144	814	10	this	this	DET
fuelectenerg-3144	814	11	case	case	NOUN
fuelectenerg-3144	814	12	incorrectly	incorrectly	ADV
fuelectenerg-3144	814	13	)	)	PUNCT
fuelectenerg-3144	814	14	that	that	SCONJ
fuelectenerg-3144	814	15	any	any	DET
fuelectenerg-3144	814	16	two	two	NUM
fuelectenerg-3144	814	17	dependencies	dependency	NOUN
fuelectenerg-3144	814	18	can	can	AUX
fuelectenerg-3144	814	19	always	always	ADV
fuelectenerg-3144	814	20	be	be	AUX
fuelectenerg-3144	814	21	simultaneously	simultaneously	ADV
fuelectenerg-3144	814	22	avoided	avoid	VERB
fuelectenerg-3144	814	23	if	if	SCONJ
fuelectenerg-3144	814	24	they	they	PRON
fuelectenerg-3144	814	25	can	can	AUX
fuelectenerg-3144	814	26	be	be	AUX
fuelectenerg-3144	814	27	individually	individually	ADV
fuelectenerg-3144	814	28	avoided	avoid	VERB
fuelectenerg-3144	814	29	,	,	PUNCT
fuelectenerg-3144	814	30	which	which	PRON
fuelectenerg-3144	814	31	results	result	VERB
fuelectenerg-3144	814	32	in	in	ADP
fuelectenerg-3144	814	33	an	an	DET
fuelectenerg-3144	814	34	incorrect	incorrect	ADJ
fuelectenerg-3144	814	35	computed	compute	VERB
fuelectenerg-3144	814	36	cost	cost	NOUN
fuelectenerg-3144	814	37	.	.	PUNCT
fuelectenerg-3144	815	1	the	the	DET
fuelectenerg-3144	815	2	scenario	scenario	NOUN
fuelectenerg-3144	815	3	described	describe	VERB
fuelectenerg-3144	815	4	here	here	ADV
fuelectenerg-3144	815	5	can	can	AUX
fuelectenerg-3144	815	6	never	never	ADV
fuelectenerg-3144	815	7	occur	occur	VERB
fuelectenerg-3144	815	8	if	if	SCONJ
fuelectenerg-3144	815	9	all	all	PRON
fuelectenerg-3144	815	10	encoded	encode	VERB
fuelectenerg-3144	815	11	transition	transition	NOUN
fuelectenerg-3144	815	12	functions	function	NOUN
fuelectenerg-3144	815	13	are	be	AUX
fuelectenerg-3144	815	14	actual	actual	ADJ
fuelectenerg-3144	815	15	functions	function	NOUN
fuelectenerg-3144	815	16	(	(	PUNCT
fuelectenerg-3144	815	17	not	not	PART
fuelectenerg-3144	815	18	relations	relation	NOUN
fuelectenerg-3144	815	19	)	)	PUNCT
fuelectenerg-3144	815	20	in	in	ADP
fuelectenerg-3144	815	21	the	the	DET
fuelectenerg-3144	815	22	mathematical	mathematical	ADJ
fuelectenerg-3144	815	23	sense	sense	NOUN
fuelectenerg-3144	815	24	.	.	PUNCT
fuelectenerg-3144	816	1	to	to	PART
fuelectenerg-3144	816	2	see	see	VERB
fuelectenerg-3144	816	3	this	this	PRON
fuelectenerg-3144	816	4	,	,	PUNCT
fuelectenerg-3144	816	5	observe	observe	VERB
fuelectenerg-3144	816	6	that	that	SCONJ
fuelectenerg-3144	816	7	any	any	DET
fuelectenerg-3144	816	8	mathematical	mathematical	ADJ
fuelectenerg-3144	816	9	function	function	NOUN
fuelectenerg-3144	816	10	lacking	lack	VERB
fuelectenerg-3144	816	11	a	a	DET
fuelectenerg-3144	816	12	dependency	dependency	NOUN
fuelectenerg-3144	816	13	on	on	ADP
fuelectenerg-3144	816	14	each	each	PRON
fuelectenerg-3144	816	15	of	of	ADP
fuelectenerg-3144	816	16	two	two	NUM
fuelectenerg-3144	816	17	variables	variable	NOUN
fuelectenerg-3144	816	18	individually	individually	ADV
fuelectenerg-3144	816	19	must	must	AUX
fuelectenerg-3144	816	20	also	also	ADV
fuelectenerg-3144	816	21	lack	lack	VERB
fuelectenerg-3144	816	22	a	a	DET
fuelectenerg-3144	816	23	dependency	dependency	NOUN
fuelectenerg-3144	816	24	on	on	ADP
fuelectenerg-3144	816	25	those	those	DET
fuelectenerg-3144	816	26	variables	variable	NOUN
fuelectenerg-3144	816	27	simultaneously	simultaneously	ADV
fuelectenerg-3144	816	28	.	.	PUNCT
fuelectenerg-3144	817	1	in	in	ADP
fuelectenerg-3144	817	2	other	other	ADJ
fuelectenerg-3144	817	3	words	word	NOUN
fuelectenerg-3144	817	4	,	,	PUNCT
fuelectenerg-3144	817	5	suppose	suppose	VERB
fuelectenerg-3144	817	6	that	that	SCONJ
fuelectenerg-3144	817	7	a	a	DET
fuelectenerg-3144	817	8	function	function	NOUN
fuelectenerg-3144	817	9	f	f	NOUN
fuelectenerg-3144	817	10	of	of	ADP
fuelectenerg-3144	817	11	variables5	variables5	PROPN
fuelectenerg-3144	817	12	x1	x1	PROPN
fuelectenerg-3144	817	13	through	through	ADP
fuelectenerg-3144	817	14	xn	xn	PROPN
fuelectenerg-3144	817	15	lacks	lack	VERB
fuelectenerg-3144	817	16	a	a	DET
fuelectenerg-3144	817	17	dependency	dependency	NOUN
fuelectenerg-3144	817	18	on	on	ADP
fuelectenerg-3144	817	19	x1	x1	PROPN
fuelectenerg-3144	817	20	,	,	PUNCT
fuelectenerg-3144	817	21	meaning	mean	VERB
fuelectenerg-3144	817	22	that	that	SCONJ
fuelectenerg-3144	817	23	a	a	DET
fuelectenerg-3144	817	24	change	change	NOUN
fuelectenerg-3144	817	25	in	in	ADP
fuelectenerg-3144	817	26	only	only	ADV
fuelectenerg-3144	817	27	x1	x1	PROPN
fuelectenerg-3144	817	28	can	can	AUX
fuelectenerg-3144	817	29	not	not	PART
fuelectenerg-3144	817	30	affect	affect	VERB
fuelectenerg-3144	817	31	the	the	DET
fuelectenerg-3144	817	32	value	value	NOUN
fuelectenerg-3144	817	33	of	of	ADP
fuelectenerg-3144	817	34	f	f	PROPN
fuelectenerg-3144	817	35	and	and	CCONJ
fuelectenerg-3144	817	36	f	f	PROPN
fuelectenerg-3144	817	37	can	can	AUX
fuelectenerg-3144	817	38	be	be	AUX
fuelectenerg-3144	817	39	computed	compute	VERB
fuelectenerg-3144	817	40	without	without	ADP
fuelectenerg-3144	817	41	knowledge	knowledge	NOUN
fuelectenerg-3144	817	42	of	of	ADP
fuelectenerg-3144	817	43	the	the	DET
fuelectenerg-3144	817	44	value	value	NOUN
fuelectenerg-3144	817	45	of	of	ADP
fuelectenerg-3144	817	46	x1	x1	PROPN
fuelectenerg-3144	817	47	.	.	PUNCT
fuelectenerg-3144	818	1	furthermore	furthermore	ADV
fuelectenerg-3144	818	2	suppose	suppose	VERB
fuelectenerg-3144	818	3	that	that	SCONJ
fuelectenerg-3144	818	4	f	f	PROPN
fuelectenerg-3144	818	5	similarly	similarly	ADV
fuelectenerg-3144	818	6	lacks	lack	VERB
fuelectenerg-3144	818	7	a	a	DET
fuelectenerg-3144	818	8	dependency	dependency	NOUN
fuelectenerg-3144	818	9	on	on	ADP
fuelectenerg-3144	818	10	x2	x2	PROPN
fuelectenerg-3144	818	11	.	.	PUNCT
fuelectenerg-3144	819	1	then	then	ADV
fuelectenerg-3144	819	2	if	if	SCONJ
fuelectenerg-3144	819	3	the	the	DET
fuelectenerg-3144	819	4	value	value	NOUN
fuelectenerg-3144	819	5	of	of	ADP
fuelectenerg-3144	819	6	x1	x1	ADJ
fuelectenerg-3144	819	7	changes	change	NOUN
fuelectenerg-3144	819	8	to	to	ADP
fuelectenerg-3144	819	9	a	a	DET
fuelectenerg-3144	819	10	different	different	ADJ
fuelectenerg-3144	819	11	value	value	NOUN
fuelectenerg-3144	819	12	x1	x1	NOUN
fuelectenerg-3144	819	13	′	′	NOUN
fuelectenerg-3144	819	14	and	and	CCONJ
fuelectenerg-3144	819	15	the	the	DET
fuelectenerg-3144	819	16	value	value	NOUN
fuelectenerg-3144	819	17	of	of	ADP
fuelectenerg-3144	819	18	x2	x2	PROPN
fuelectenerg-3144	819	19	simultaneously	simultaneously	ADV
fuelectenerg-3144	819	20	changes	change	VERB
fuelectenerg-3144	819	21	to	to	ADP
fuelectenerg-3144	819	22	x2	x2	PROPN
fuelectenerg-3144	819	23	′	′	NOUN
fuelectenerg-3144	819	24	,	,	PUNCT
fuelectenerg-3144	819	25	we	we	PRON
fuelectenerg-3144	819	26	have6	have6	VERB
fuelectenerg-3144	819	27	f(x1	f(x1	X
fuelectenerg-3144	819	28	,	,	PUNCT
fuelectenerg-3144	819	29	x2	x2	PROPN
fuelectenerg-3144	819	30	,	,	PUNCT
fuelectenerg-3144	819	31	.	.	PUNCT
fuelectenerg-3144	819	32	.	.	PUNCT
fuelectenerg-3144	819	33	.	.	PUNCT
fuelectenerg-3144	820	1	,	,	PUNCT
fuelectenerg-3144	820	2	xn	xn	X
fuelectenerg-3144	820	3	)	)	PUNCT
fuelectenerg-3144	820	4	=	=	SYM
fuelectenerg-3144	820	5	f(x1	f(x1	X
fuelectenerg-3144	820	6	,	,	PUNCT
fuelectenerg-3144	820	7	x2	x2	PROPN
fuelectenerg-3144	820	8	′	′	NOUN
fuelectenerg-3144	820	9	,	,	PUNCT
fuelectenerg-3144	820	10	.	.	PUNCT
fuelectenerg-3144	820	11	.	.	PUNCT
fuelectenerg-3144	820	12	.	.	PUNCT
fuelectenerg-3144	821	1	,	,	PUNCT
fuelectenerg-3144	821	2	xn	xn	X
fuelectenerg-3144	821	3	)	)	PUNCT
fuelectenerg-3144	821	4	=	=	SYM
fuelectenerg-3144	821	5	f(x1	f(x1	ADJ
fuelectenerg-3144	821	6	′	′	NOUN
fuelectenerg-3144	821	7	,	,	PUNCT
fuelectenerg-3144	821	8	x2	x2	PROPN
fuelectenerg-3144	821	9	′	′	NOUN
fuelectenerg-3144	821	10	,	,	PUNCT
fuelectenerg-3144	821	11	.	.	PUNCT
fuelectenerg-3144	821	12	.	.	PUNCT
fuelectenerg-3144	822	1	.	.	PUNCT
fuelectenerg-3144	823	1	,	,	PUNCT
fuelectenerg-3144	823	2	xn	xn	PROPN
fuelectenerg-3144	823	3	)	)	PUNCT
fuelectenerg-3144	823	4	,	,	PUNCT
fuelectenerg-3144	823	5	showing	show	VERB
fuelectenerg-3144	823	6	that	that	SCONJ
fuelectenerg-3144	823	7	simultaneous	simultaneous	ADJ
fuelectenerg-3144	823	8	changes	change	NOUN
fuelectenerg-3144	823	9	in	in	ADP
fuelectenerg-3144	823	10	x1	x1	PROPN
fuelectenerg-3144	823	11	and	and	CCONJ
fuelectenerg-3144	823	12	x2	x2	PROPN
fuelectenerg-3144	823	13	can	can	AUX
fuelectenerg-3144	823	14	not	not	PART
fuelectenerg-3144	823	15	affect	affect	VERB
fuelectenerg-3144	823	16	the	the	DET
fuelectenerg-3144	823	17	value	value	NOUN
fuelectenerg-3144	823	18	of	of	ADP
fuelectenerg-3144	823	19	f	f	PROPN
fuelectenerg-3144	823	20	.	.	PUNCT
fuelectenerg-3144	824	1	hence	hence	ADV
fuelectenerg-3144	824	2	,	,	PUNCT
fuelectenerg-3144	824	3	f	f	PROPN
fuelectenerg-3144	824	4	can	can	AUX
fuelectenerg-3144	824	5	be	be	AUX
fuelectenerg-3144	824	6	computed	compute	VERB
fuelectenerg-3144	824	7	without	without	ADP
fuelectenerg-3144	824	8	knowledge	knowledge	NOUN
fuelectenerg-3144	824	9	of	of	ADP
fuelectenerg-3144	824	10	the	the	DET
fuelectenerg-3144	824	11	values	value	NOUN
fuelectenerg-3144	824	12	of	of	ADP
fuelectenerg-3144	824	13	either	either	CCONJ
fuelectenerg-3144	824	14	x1	x1	PROPN
fuelectenerg-3144	824	15	or	or	CCONJ
fuelectenerg-3144	824	16	x2	x2	PROPN
fuelectenerg-3144	824	17	.	.	PUNCT
fuelectenerg-3144	825	1	this	this	DET
fuelectenerg-3144	825	2	argument	argument	NOUN
fuelectenerg-3144	825	3	breaks	break	VERB
fuelectenerg-3144	825	4	down	down	ADP
fuelectenerg-3144	825	5	if	if	SCONJ
fuelectenerg-3144	825	6	f	f	PROPN
fuelectenerg-3144	825	7	is	be	AUX
fuelectenerg-3144	825	8	not	not	PART
fuelectenerg-3144	825	9	actually	actually	ADV
fuelectenerg-3144	825	10	a	a	DET
fuelectenerg-3144	825	11	function	function	NOUN
fuelectenerg-3144	825	12	but	but	CCONJ
fuelectenerg-3144	825	13	a	a	DET
fuelectenerg-3144	825	14	relation	relation	NOUN
fuelectenerg-3144	825	15	,	,	PUNCT
fuelectenerg-3144	825	16	because	because	SCONJ
fuelectenerg-3144	825	17	then	then	ADV
fuelectenerg-3144	825	18	the	the	DET
fuelectenerg-3144	825	19	value	value	NOUN
fuelectenerg-3144	825	20	of	of	ADP
fuelectenerg-3144	825	21	f	f	PROPN
fuelectenerg-3144	825	22	may	may	AUX
fuelectenerg-3144	825	23	not	not	PART
fuelectenerg-3144	825	24	be	be	AUX
fuelectenerg-3144	825	25	uniquely	uniquely	ADV
fuelectenerg-3144	825	26	defined	define	VERB
fuelectenerg-3144	825	27	at	at	ADP
fuelectenerg-3144	825	28	a	a	DET
fuelectenerg-3144	825	29	given	give	VERB
fuelectenerg-3144	825	30	point	point	NOUN
fuelectenerg-3144	825	31	.	.	PUNCT
fuelectenerg-3144	826	1	we	we	PRON
fuelectenerg-3144	826	2	therefore	therefore	ADV
fuelectenerg-3144	826	3	see	see	VERB
fuelectenerg-3144	826	4	that	that	SCONJ
fuelectenerg-3144	826	5	the	the	DET
fuelectenerg-3144	826	6	procedure	procedure	NOUN
fuelectenerg-3144	826	7	from	from	ADP
fuelectenerg-3144	826	8	the	the	DET
fuelectenerg-3144	826	9	previous	previous	ADJ
fuelectenerg-3144	826	10	section	section	NOUN
fuelectenerg-3144	826	11	,	,	PUNCT
fuelectenerg-3144	826	12	which	which	PRON
fuelectenerg-3144	826	13	only	only	ADV
fuelectenerg-3144	826	14	evaluates	evaluate	VERB
fuelectenerg-3144	826	15	dependency	dependency	NOUN
fuelectenerg-3144	826	16	on	on	ADP
fuelectenerg-3144	826	17	a	a	DET
fuelectenerg-3144	826	18	single	single	ADJ
fuelectenerg-3144	826	19	variable	variable	NOUN
fuelectenerg-3144	826	20	at	at	ADP
fuelectenerg-3144	826	21	a	a	DET
fuelectenerg-3144	826	22	time	time	NOUN
fuelectenerg-3144	826	23	,	,	PUNCT
fuelectenerg-3144	826	24	correctly	correctly	ADV
fuelectenerg-3144	826	25	computes	compute	VERB
fuelectenerg-3144	826	26	cost	cost	NOUN
fuelectenerg-3144	826	27	when	when	SCONJ
fuelectenerg-3144	826	28	all	all	DET
fuelectenerg-3144	826	29	encoded	encode	VERB
fuelectenerg-3144	826	30	transition	transition	NOUN
fuelectenerg-3144	826	31	functions	function	NOUN
fuelectenerg-3144	826	32	are	be	AUX
fuelectenerg-3144	826	33	actual	actual	ADJ
fuelectenerg-3144	826	34	functions	function	NOUN
fuelectenerg-3144	826	35	(	(	PUNCT
fuelectenerg-3144	826	36	i.e.	i.e.	X
fuelectenerg-3144	826	37	,	,	PUNCT
fuelectenerg-3144	826	38	there	there	PRON
fuelectenerg-3144	826	39	are	be	VERB
fuelectenerg-3144	826	40	no	no	DET
fuelectenerg-3144	826	41	“	"	PUNCT
fuelectenerg-3144	826	42	don’t	don’t	NUM
fuelectenerg-3144	826	43	-	-	PUNCT
fuelectenerg-3144	826	44	cares	care	NOUN
fuelectenerg-3144	826	45	”	"	PUNCT
fuelectenerg-3144	826	46	)	)	PUNCT
fuelectenerg-3144	826	47	but	but	CCONJ
fuelectenerg-3144	826	48	may	may	AUX
fuelectenerg-3144	826	49	fail	fail	VERB
fuelectenerg-3144	826	50	if	if	SCONJ
fuelectenerg-3144	826	51	those	those	DET
fuelectenerg-3144	826	52	“	"	PUNCT
fuelectenerg-3144	826	53	functions	function	NOUN
fuelectenerg-3144	826	54	”	"	PUNCT
fuelectenerg-3144	826	55	are	be	AUX
fuelectenerg-3144	826	56	actually	actually	ADV
fuelectenerg-3144	826	57	relations	relation	NOUN
fuelectenerg-3144	826	58	.	.	PUNCT
fuelectenerg-3144	827	1	no	no	DET
fuelectenerg-3144	827	2	“	"	PUNCT
fuelectenerg-3144	827	3	don’t	don’t	NUM
fuelectenerg-3144	827	4	-	-	PUNCT
fuelectenerg-3144	827	5	cares	care	NOUN
fuelectenerg-3144	827	6	”	"	PUNCT
fuelectenerg-3144	827	7	will	will	AUX
fuelectenerg-3144	827	8	exist	exist	VERB
fuelectenerg-3144	827	9	if	if	SCONJ
fuelectenerg-3144	827	10	the	the	DET
fuelectenerg-3144	827	11	state	state	NOUN
fuelectenerg-3144	827	12	and	and	CCONJ
fuelectenerg-3144	827	13	input	input	NOUN
fuelectenerg-3144	827	14	encodings	encoding	NOUN
fuelectenerg-3144	827	15	are	be	AUX
fuelectenerg-3144	827	16	5as	5as	NOUN
fuelectenerg-3144	827	17	in	in	ADP
fuelectenerg-3144	827	18	section	section	NOUN
fuelectenerg-3144	827	19	3.1	3.1	NUM
fuelectenerg-3144	827	20	,	,	PUNCT
fuelectenerg-3144	827	21	the	the	DET
fuelectenerg-3144	827	22	variables	variable	NOUN
fuelectenerg-3144	827	23	x1	x1	PROPN
fuelectenerg-3144	827	24	through	through	ADP
fuelectenerg-3144	827	25	xn	xn	PROPN
fuelectenerg-3144	827	26	here	here	ADV
fuelectenerg-3144	827	27	are	be	AUX
fuelectenerg-3144	827	28	unrelated	unrelated	ADJ
fuelectenerg-3144	827	29	to	to	ADP
fuelectenerg-3144	827	30	the	the	DET
fuelectenerg-3144	827	31	input	input	NOUN
fuelectenerg-3144	827	32	variables	variable	NOUN
fuelectenerg-3144	827	33	of	of	ADP
fuelectenerg-3144	827	34	an	an	DET
fuelectenerg-3144	827	35	fsm	fsm	PROPN
fuelectenerg-3144	827	36	;	;	PUNCT
fuelectenerg-3144	827	37	here	here	ADV
fuelectenerg-3144	827	38	,	,	PUNCT
fuelectenerg-3144	827	39	they	they	PRON
fuelectenerg-3144	827	40	are	be	AUX
fuelectenerg-3144	827	41	simply	simply	ADV
fuelectenerg-3144	827	42	variables	variable	NOUN
fuelectenerg-3144	827	43	in	in	ADP
fuelectenerg-3144	827	44	an	an	DET
fuelectenerg-3144	827	45	arbitrary	arbitrary	ADJ
fuelectenerg-3144	827	46	function	function	NOUN
fuelectenerg-3144	827	47	f	f	NOUN
fuelectenerg-3144	827	48	.	.	PUNCT
fuelectenerg-3144	828	1	6here	6here	NUM
fuelectenerg-3144	828	2	we	we	PRON
fuelectenerg-3144	828	3	use	use	VERB
fuelectenerg-3144	828	4	the	the	DET
fuelectenerg-3144	828	5	notation	notation	NOUN
fuelectenerg-3144	828	6	x1	x1	PROPN
fuelectenerg-3144	828	7	′	′	NUM
fuelectenerg-3144	829	1	simply	simply	ADV
fuelectenerg-3144	829	2	to	to	PART
fuelectenerg-3144	829	3	indicate	indicate	VERB
fuelectenerg-3144	829	4	that	that	SCONJ
fuelectenerg-3144	829	5	the	the	DET
fuelectenerg-3144	829	6	value	value	NOUN
fuelectenerg-3144	829	7	of	of	ADP
fuelectenerg-3144	829	8	x1	x1	PROPN
fuelectenerg-3144	829	9	has	have	AUX
fuelectenerg-3144	829	10	changed	change	VERB
fuelectenerg-3144	829	11	.	.	PUNCT
fuelectenerg-3144	830	1	in	in	ADP
fuelectenerg-3144	830	2	particular	particular	ADJ
fuelectenerg-3144	830	3	,	,	PUNCT
fuelectenerg-3144	830	4	we	we	PRON
fuelectenerg-3144	830	5	do	do	AUX
fuelectenerg-3144	830	6	not	not	PART
fuelectenerg-3144	830	7	use	use	VERB
fuelectenerg-3144	830	8	the	the	DET
fuelectenerg-3144	830	9	prime	prime	NOUN
fuelectenerg-3144	830	10	(	(	PUNCT
fuelectenerg-3144	830	11	′	′	NOUN
fuelectenerg-3144	830	12	)	)	PUNCT
fuelectenerg-3144	830	13	symbol	symbol	NOUN
fuelectenerg-3144	830	14	to	to	PART
fuelectenerg-3144	830	15	indicate	indicate	VERB
fuelectenerg-3144	830	16	logical	logical	ADJ
fuelectenerg-3144	830	17	negation	negation	NOUN
fuelectenerg-3144	830	18	,	,	PUNCT
fuelectenerg-3144	830	19	as	as	SCONJ
fuelectenerg-3144	830	20	is	be	AUX
fuelectenerg-3144	830	21	sometimes	sometimes	ADV
fuelectenerg-3144	830	22	done	do	VERB
fuelectenerg-3144	830	23	.	.	PUNCT
fuelectenerg-3144	831	1	21	21	NUM
fuelectenerg-3144	831	2	188	188	NUM
fuelectenerg-3144	831	3	e.	e.	PROPN
fuelectenerg-3144	831	4	tsai	tsai	PROPN
fuelectenerg-3144	831	5	,	,	PUNCT
fuelectenerg-3144	831	6	m.	m.	PROPN
fuelectenerg-3144	831	7	perkowski	perkowski	PROPN
fuelectenerg-3144	831	8	a	a	DET
fuelectenerg-3144	831	9	quantum	quantum	ADJ
fuelectenerg-3144	831	10	algorithm	algorithm	NOUN
fuelectenerg-3144	831	11	for	for	ADP
fuelectenerg-3144	831	12	automata	automata	NOUN
fuelectenerg-3144	831	13	encoding	encode	VERB
fuelectenerg-3144	831	14	189	189	NUM
fuelectenerg-3144	831	15	bijective	bijective	ADJ
fuelectenerg-3144	831	16	.	.	PUNCT
fuelectenerg-3144	832	1	bijectivity	bijectivity	NOUN
fuelectenerg-3144	832	2	of	of	ADP
fuelectenerg-3144	832	3	an	an	DET
fuelectenerg-3144	832	4	encoding	encoding	NOUN
fuelectenerg-3144	832	5	is	be	AUX
fuelectenerg-3144	832	6	equivalent	equivalent	ADJ
fuelectenerg-3144	832	7	to	to	ADP
fuelectenerg-3144	832	8	the	the	DET
fuelectenerg-3144	832	9	condition	condition	NOUN
fuelectenerg-3144	832	10	that	that	SCONJ
fuelectenerg-3144	832	11	the	the	DET
fuelectenerg-3144	832	12	numbers	number	NOUN
fuelectenerg-3144	832	13	of	of	ADP
fuelectenerg-3144	832	14	states	state	NOUN
fuelectenerg-3144	832	15	and	and	CCONJ
fuelectenerg-3144	832	16	inputs	input	NOUN
fuelectenerg-3144	832	17	are	be	AUX
fuelectenerg-3144	832	18	both	both	DET
fuelectenerg-3144	832	19	powers	power	NOUN
fuelectenerg-3144	832	20	of	of	ADP
fuelectenerg-3144	832	21	two	two	NUM
fuelectenerg-3144	832	22	,	,	PUNCT
fuelectenerg-3144	832	23	the	the	DET
fuelectenerg-3144	832	24	minimum	minimum	ADJ
fuelectenerg-3144	832	25	possible	possible	ADJ
fuelectenerg-3144	832	26	number	number	NOUN
fuelectenerg-3144	832	27	of	of	ADP
fuelectenerg-3144	832	28	state	state	NOUN
fuelectenerg-3144	832	29	and	and	CCONJ
fuelectenerg-3144	832	30	input	input	NOUN
fuelectenerg-3144	832	31	variables	variable	NOUN
fuelectenerg-3144	832	32	are	be	AUX
fuelectenerg-3144	832	33	used	use	VERB
fuelectenerg-3144	832	34	,	,	PUNCT
fuelectenerg-3144	832	35	and	and	CCONJ
fuelectenerg-3144	832	36	no	no	DET
fuelectenerg-3144	832	37	two	two	NUM
fuelectenerg-3144	832	38	distinct	distinct	ADJ
fuelectenerg-3144	832	39	states	state	NOUN
fuelectenerg-3144	832	40	or	or	CCONJ
fuelectenerg-3144	832	41	inputs	input	NOUN
fuelectenerg-3144	832	42	may	may	AUX
fuelectenerg-3144	832	43	be	be	AUX
fuelectenerg-3144	832	44	assigned	assign	VERB
fuelectenerg-3144	832	45	the	the	DET
fuelectenerg-3144	832	46	same	same	ADJ
fuelectenerg-3144	832	47	encoding	encoding	NOUN
fuelectenerg-3144	832	48	.	.	PUNCT
fuelectenerg-3144	833	1	5	5	NUM
fuelectenerg-3144	833	2	design	design	NOUN
fuelectenerg-3144	833	3	of	of	ADP
fuelectenerg-3144	833	4	a	a	DET
fuelectenerg-3144	833	5	quantum	quantum	ADJ
fuelectenerg-3144	833	6	oracle	oracle	NOUN
fuelectenerg-3144	833	7	to	to	PART
fuelectenerg-3144	833	8	find	find	VERB
fuelectenerg-3144	833	9	optimal	optimal	ADJ
fuelectenerg-3144	833	10	encodings	encoding	NOUN
fuelectenerg-3144	833	11	5.1	5.1	NUM
fuelectenerg-3144	833	12	binary	binary	ADJ
fuelectenerg-3144	833	13	representation	representation	NOUN
fuelectenerg-3144	833	14	of	of	ADP
fuelectenerg-3144	833	15	encodings	encoding	NOUN
fuelectenerg-3144	833	16	in	in	ADP
fuelectenerg-3144	833	17	the	the	DET
fuelectenerg-3144	833	18	quantum	quantum	ADJ
fuelectenerg-3144	833	19	oracle	oracle	NOUN
fuelectenerg-3144	833	20	we	we	PRON
fuelectenerg-3144	833	21	now	now	ADV
fuelectenerg-3144	833	22	demonstrate	demonstrate	VERB
fuelectenerg-3144	833	23	how	how	SCONJ
fuelectenerg-3144	833	24	to	to	PART
fuelectenerg-3144	833	25	,	,	PUNCT
fuelectenerg-3144	833	26	given	give	VERB
fuelectenerg-3144	833	27	an	an	DET
fuelectenerg-3144	833	28	fsm	fsm	NOUN
fuelectenerg-3144	833	29	and	and	CCONJ
fuelectenerg-3144	833	30	a	a	DET
fuelectenerg-3144	833	31	threshold	threshold	NOUN
fuelectenerg-3144	833	32	value	value	NOUN
fuelectenerg-3144	833	33	r	r	NOUN
fuelectenerg-3144	833	34	,	,	PUNCT
fuelectenerg-3144	833	35	construct	construct	VERB
fuelectenerg-3144	833	36	a	a	DET
fuelectenerg-3144	833	37	quantum	quantum	ADJ
fuelectenerg-3144	833	38	oracle	oracle	NOUN
fuelectenerg-3144	833	39	that	that	PRON
fuelectenerg-3144	833	40	,	,	PUNCT
fuelectenerg-3144	833	41	when	when	SCONJ
fuelectenerg-3144	833	42	given	give	VERB
fuelectenerg-3144	833	43	an	an	DET
fuelectenerg-3144	833	44	encoding	encoding	NOUN
fuelectenerg-3144	833	45	for	for	ADP
fuelectenerg-3144	833	46	that	that	DET
fuelectenerg-3144	833	47	fsm	fsm	PROPN
fuelectenerg-3144	833	48	as	as	ADP
fuelectenerg-3144	833	49	input	input	NOUN
fuelectenerg-3144	833	50	,	,	PUNCT
fuelectenerg-3144	833	51	determines	determine	VERB
fuelectenerg-3144	833	52	whether	whether	SCONJ
fuelectenerg-3144	833	53	the	the	DET
fuelectenerg-3144	833	54	cost	cost	NOUN
fuelectenerg-3144	833	55	of	of	ADP
fuelectenerg-3144	833	56	the	the	DET
fuelectenerg-3144	833	57	encoding	encoding	NOUN
fuelectenerg-3144	833	58	is	be	AUX
fuelectenerg-3144	833	59	less	less	ADJ
fuelectenerg-3144	833	60	than	than	ADP
fuelectenerg-3144	833	61	r.	r.	NOUN
fuelectenerg-3144	833	62	using	use	VERB
fuelectenerg-3144	833	63	this	this	DET
fuelectenerg-3144	833	64	quantum	quantum	ADJ
fuelectenerg-3144	833	65	oracle	oracle	NOUN
fuelectenerg-3144	833	66	,	,	PUNCT
fuelectenerg-3144	833	67	the	the	DET
fuelectenerg-3144	833	68	procedure	procedure	NOUN
fuelectenerg-3144	833	69	described	describe	VERB
fuelectenerg-3144	833	70	in	in	ADP
fuelectenerg-3144	833	71	section	section	NOUN
fuelectenerg-3144	833	72	3.2	3.2	NUM
fuelectenerg-3144	833	73	then	then	ADV
fuelectenerg-3144	833	74	constitutes	constitute	VERB
fuelectenerg-3144	833	75	a	a	DET
fuelectenerg-3144	833	76	complete	complete	ADJ
fuelectenerg-3144	833	77	algorithm	algorithm	NOUN
fuelectenerg-3144	833	78	for	for	ADP
fuelectenerg-3144	833	79	finding	find	VERB
fuelectenerg-3144	833	80	the	the	DET
fuelectenerg-3144	833	81	exact	exact	ADJ
fuelectenerg-3144	833	82	minimum	minimum	ADJ
fuelectenerg-3144	833	83	solution	solution	NOUN
fuelectenerg-3144	833	84	to	to	ADP
fuelectenerg-3144	833	85	the	the	DET
fuelectenerg-3144	833	86	fsm	fsm	PROPN
fuelectenerg-3144	833	87	encoding	encoding	NOUN
fuelectenerg-3144	833	88	problem	problem	NOUN
fuelectenerg-3144	833	89	under	under	ADP
fuelectenerg-3144	833	90	the	the	DET
fuelectenerg-3144	833	91	assumptions	assumption	NOUN
fuelectenerg-3144	833	92	and	and	CCONJ
fuelectenerg-3144	833	93	conditions	condition	NOUN
fuelectenerg-3144	833	94	described	describe	VERB
fuelectenerg-3144	833	95	before	before	ADV
fuelectenerg-3144	833	96	.	.	PUNCT
fuelectenerg-3144	834	1	as	as	ADP
fuelectenerg-3144	834	2	the	the	DET
fuelectenerg-3144	834	3	first	first	ADJ
fuelectenerg-3144	834	4	design	design	NOUN
fuelectenerg-3144	834	5	step	step	NOUN
fuelectenerg-3144	834	6	,	,	PUNCT
fuelectenerg-3144	834	7	we	we	PRON
fuelectenerg-3144	834	8	must	must	AUX
fuelectenerg-3144	834	9	agree	agree	VERB
fuelectenerg-3144	834	10	on	on	ADP
fuelectenerg-3144	834	11	the	the	DET
fuelectenerg-3144	834	12	manner	manner	NOUN
fuelectenerg-3144	834	13	in	in	ADP
fuelectenerg-3144	834	14	which	which	PRON
fuelectenerg-3144	834	15	a	a	DET
fuelectenerg-3144	834	16	candidate	candidate	NOUN
fuelectenerg-3144	834	17	encoding	encoding	NOUN
fuelectenerg-3144	834	18	is	be	AUX
fuelectenerg-3144	834	19	to	to	PART
fuelectenerg-3144	834	20	be	be	AUX
fuelectenerg-3144	834	21	supplied	supply	VERB
fuelectenerg-3144	834	22	as	as	ADP
fuelectenerg-3144	834	23	input	input	NOUN
fuelectenerg-3144	834	24	to	to	ADP
fuelectenerg-3144	834	25	the	the	DET
fuelectenerg-3144	834	26	oracle	oracle	NOUN
fuelectenerg-3144	834	27	.	.	PUNCT
fuelectenerg-3144	835	1	we	we	PRON
fuelectenerg-3144	835	2	will	will	AUX
fuelectenerg-3144	835	3	use	use	VERB
fuelectenerg-3144	835	4	the	the	DET
fuelectenerg-3144	835	5	following	follow	VERB
fuelectenerg-3144	835	6	scheme	scheme	NOUN
fuelectenerg-3144	835	7	to	to	PART
fuelectenerg-3144	835	8	represent	represent	VERB
fuelectenerg-3144	835	9	an	an	DET
fuelectenerg-3144	835	10	encoding	encoding	NOUN
fuelectenerg-3144	835	11	as	as	ADP
fuelectenerg-3144	835	12	binary	binary	ADJ
fuelectenerg-3144	835	13	data	datum	NOUN
fuelectenerg-3144	835	14	:	:	PUNCT
fuelectenerg-3144	835	15	letting	let	VERB
fuelectenerg-3144	835	16	n	n	PRON
fuelectenerg-3144	835	17	be	be	AUX
fuelectenerg-3144	835	18	the	the	DET
fuelectenerg-3144	835	19	number	number	NOUN
fuelectenerg-3144	835	20	of	of	ADP
fuelectenerg-3144	835	21	bits	bit	NOUN
fuelectenerg-3144	835	22	used	use	VERB
fuelectenerg-3144	835	23	by	by	ADP
fuelectenerg-3144	835	24	the	the	DET
fuelectenerg-3144	835	25	encoding	encoding	NOUN
fuelectenerg-3144	835	26	,	,	PUNCT
fuelectenerg-3144	835	27	we	we	PRON
fuelectenerg-3144	835	28	allocate	allocate	VERB
fuelectenerg-3144	835	29	an	an	DET
fuelectenerg-3144	835	30	array	array	NOUN
fuelectenerg-3144	835	31	of	of	ADP
fuelectenerg-3144	835	32	n	n	DET
fuelectenerg-3144	835	33	qubits	qubit	NOUN
fuelectenerg-3144	835	34	for	for	ADP
fuelectenerg-3144	835	35	each	each	DET
fuelectenerg-3144	835	36	element	element	NOUN
fuelectenerg-3144	835	37	of	of	ADP
fuelectenerg-3144	835	38	the	the	DET
fuelectenerg-3144	835	39	set	set	NOUN
fuelectenerg-3144	835	40	being	be	AUX
fuelectenerg-3144	835	41	encoded	encode	VERB
fuelectenerg-3144	835	42	(	(	PUNCT
fuelectenerg-3144	835	43	either	either	CCONJ
fuelectenerg-3144	835	44	the	the	DET
fuelectenerg-3144	835	45	state	state	NOUN
fuelectenerg-3144	835	46	or	or	CCONJ
fuelectenerg-3144	835	47	input	input	NOUN
fuelectenerg-3144	835	48	set	set	NOUN
fuelectenerg-3144	835	49	of	of	ADP
fuelectenerg-3144	835	50	an	an	DET
fuelectenerg-3144	835	51	fsm	fsm	PROPN
fuelectenerg-3144	835	52	)	)	PUNCT
fuelectenerg-3144	835	53	,	,	PUNCT
fuelectenerg-3144	835	54	and	and	CCONJ
fuelectenerg-3144	835	55	assign	assign	VERB
fuelectenerg-3144	835	56	to	to	ADP
fuelectenerg-3144	835	57	each	each	DET
fuelectenerg-3144	835	58	such	such	ADJ
fuelectenerg-3144	835	59	array	array	NOUN
fuelectenerg-3144	835	60	the	the	DET
fuelectenerg-3144	835	61	encoded	encode	VERB
fuelectenerg-3144	835	62	value	value	NOUN
fuelectenerg-3144	835	63	of	of	ADP
fuelectenerg-3144	835	64	the	the	DET
fuelectenerg-3144	835	65	corresponding	corresponding	ADJ
fuelectenerg-3144	835	66	set	set	NOUN
fuelectenerg-3144	835	67	element	element	NOUN
fuelectenerg-3144	835	68	.	.	PUNCT
fuelectenerg-3144	836	1	for	for	ADP
fuelectenerg-3144	836	2	instance	instance	NOUN
fuelectenerg-3144	836	3	,	,	PUNCT
fuelectenerg-3144	836	4	suppose	suppose	VERB
fuelectenerg-3144	836	5	that	that	SCONJ
fuelectenerg-3144	836	6	s1	s1	PROPN
fuelectenerg-3144	836	7	through	through	ADP
fuelectenerg-3144	836	8	s4	s4	PROPN
fuelectenerg-3144	836	9	are	be	AUX
fuelectenerg-3144	836	10	the	the	DET
fuelectenerg-3144	836	11	internal	internal	ADJ
fuelectenerg-3144	836	12	states	state	NOUN
fuelectenerg-3144	836	13	of	of	ADP
fuelectenerg-3144	836	14	an	an	DET
fuelectenerg-3144	836	15	fsm	fsm	PROPN
fuelectenerg-3144	836	16	.	.	PUNCT
fuelectenerg-3144	837	1	since	since	SCONJ
fuelectenerg-3144	837	2	we	we	PRON
fuelectenerg-3144	837	3	require	require	VERB
fuelectenerg-3144	837	4	all	all	DET
fuelectenerg-3144	837	5	encodings	encoding	NOUN
fuelectenerg-3144	837	6	to	to	PART
fuelectenerg-3144	837	7	be	be	AUX
fuelectenerg-3144	837	8	bijective	bijective	ADJ
fuelectenerg-3144	837	9	,	,	PUNCT
fuelectenerg-3144	837	10	only	only	ADV
fuelectenerg-3144	837	11	2	2	NUM
fuelectenerg-3144	837	12	-	-	PUNCT
fuelectenerg-3144	837	13	bit	bit	NOUN
fuelectenerg-3144	837	14	state	state	NOUN
fuelectenerg-3144	837	15	encodings	encoding	NOUN
fuelectenerg-3144	837	16	will	will	AUX
fuelectenerg-3144	837	17	be	be	AUX
fuelectenerg-3144	837	18	considered	consider	VERB
fuelectenerg-3144	837	19	for	for	ADP
fuelectenerg-3144	837	20	this	this	DET
fuelectenerg-3144	837	21	fsm	fsm	PROPN
fuelectenerg-3144	837	22	.	.	PUNCT
fuelectenerg-3144	838	1	we	we	PRON
fuelectenerg-3144	838	2	therefore	therefore	ADV
fuelectenerg-3144	838	3	create	create	VERB
fuelectenerg-3144	838	4	four	four	NUM
fuelectenerg-3144	838	5	arrays	array	NOUN
fuelectenerg-3144	838	6	of	of	ADP
fuelectenerg-3144	838	7	two	two	NUM
fuelectenerg-3144	838	8	qubits	qubit	NOUN
fuelectenerg-3144	838	9	each	each	PRON
fuelectenerg-3144	838	10	,	,	PUNCT
fuelectenerg-3144	838	11	where	where	SCONJ
fuelectenerg-3144	838	12	the	the	DET
fuelectenerg-3144	838	13	input	input	NOUN
fuelectenerg-3144	838	14	supplied	supply	VERB
fuelectenerg-3144	838	15	to	to	ADP
fuelectenerg-3144	838	16	each	each	DET
fuelectenerg-3144	838	17	array	array	NOUN
fuelectenerg-3144	838	18	is	be	AUX
fuelectenerg-3144	838	19	the	the	DET
fuelectenerg-3144	838	20	encoded	encode	VERB
fuelectenerg-3144	838	21	value	value	NOUN
fuelectenerg-3144	838	22	of	of	ADP
fuelectenerg-3144	838	23	the	the	DET
fuelectenerg-3144	838	24	corresponding	corresponding	ADJ
fuelectenerg-3144	838	25	state	state	NOUN
fuelectenerg-3144	838	26	.	.	PUNCT
fuelectenerg-3144	839	1	thus	thus	ADV
fuelectenerg-3144	839	2	,	,	PUNCT
fuelectenerg-3144	839	3	if	if	SCONJ
fuelectenerg-3144	839	4	s1	s1	NOUN
fuelectenerg-3144	839	5	,	,	PUNCT
fuelectenerg-3144	839	6	s2	s2	PROPN
fuelectenerg-3144	839	7	,	,	PUNCT
fuelectenerg-3144	839	8	s3	s3	PROPN
fuelectenerg-3144	839	9	,	,	PUNCT
fuelectenerg-3144	839	10	and	and	CCONJ
fuelectenerg-3144	839	11	s4	s4	PROPN
fuelectenerg-3144	839	12	are	be	AUX
fuelectenerg-3144	839	13	encoded	encode	VERB
fuelectenerg-3144	839	14	by	by	ADP
fuelectenerg-3144	839	15	01	01	NUM
fuelectenerg-3144	839	16	,	,	PUNCT
fuelectenerg-3144	839	17	10	10	NUM
fuelectenerg-3144	839	18	,	,	PUNCT
fuelectenerg-3144	839	19	00	00	NUM
fuelectenerg-3144	839	20	,	,	PUNCT
fuelectenerg-3144	839	21	and	and	CCONJ
fuelectenerg-3144	839	22	11	11	NUM
fuelectenerg-3144	839	23	,	,	PUNCT
fuelectenerg-3144	839	24	respectively	respectively	ADV
fuelectenerg-3144	839	25	,	,	PUNCT
fuelectenerg-3144	839	26	then	then	ADV
fuelectenerg-3144	839	27	we	we	PRON
fuelectenerg-3144	839	28	represent	represent	VERB
fuelectenerg-3144	839	29	this	this	DET
fuelectenerg-3144	839	30	encoding	encoding	NOUN
fuelectenerg-3144	839	31	by	by	ADP
fuelectenerg-3144	839	32	supplying	supply	VERB
fuelectenerg-3144	839	33	01	01	NUM
fuelectenerg-3144	839	34	on	on	ADP
fuelectenerg-3144	839	35	the	the	DET
fuelectenerg-3144	839	36	first	first	ADJ
fuelectenerg-3144	839	37	array	array	NOUN
fuelectenerg-3144	839	38	of	of	ADP
fuelectenerg-3144	839	39	two	two	NUM
fuelectenerg-3144	839	40	qubits	qubit	NOUN
fuelectenerg-3144	839	41	,	,	PUNCT
fuelectenerg-3144	839	42	10	10	NUM
fuelectenerg-3144	839	43	on	on	ADP
fuelectenerg-3144	839	44	the	the	DET
fuelectenerg-3144	839	45	second	second	ADJ
fuelectenerg-3144	839	46	array	array	NOUN
fuelectenerg-3144	839	47	,	,	PUNCT
fuelectenerg-3144	839	48	00	00	PUNCT
fuelectenerg-3144	840	1	on	on	ADP
fuelectenerg-3144	840	2	the	the	DET
fuelectenerg-3144	840	3	third	third	ADJ
fuelectenerg-3144	840	4	array	array	NOUN
fuelectenerg-3144	840	5	,	,	PUNCT
fuelectenerg-3144	840	6	and	and	CCONJ
fuelectenerg-3144	840	7	11	11	NUM
fuelectenerg-3144	840	8	on	on	ADP
fuelectenerg-3144	840	9	the	the	DET
fuelectenerg-3144	840	10	fourth	fourth	ADJ
fuelectenerg-3144	840	11	array	array	NOUN
fuelectenerg-3144	840	12	.	.	PUNCT
fuelectenerg-3144	841	1	input	input	NOUN
fuelectenerg-3144	841	2	encodings	encoding	NOUN
fuelectenerg-3144	841	3	are	be	AUX
fuelectenerg-3144	841	4	also	also	ADV
fuelectenerg-3144	841	5	represented	represent	VERB
fuelectenerg-3144	841	6	in	in	ADP
fuelectenerg-3144	841	7	a	a	DET
fuelectenerg-3144	841	8	similar	similar	ADJ
fuelectenerg-3144	841	9	manner	manner	NOUN
fuelectenerg-3144	841	10	.	.	PUNCT
fuelectenerg-3144	842	1	figure	figure	NOUN
fuelectenerg-3144	842	2	10	10	NUM
fuelectenerg-3144	842	3	provides	provide	VERB
fuelectenerg-3144	842	4	an	an	DET
fuelectenerg-3144	842	5	example	example	NOUN
fuelectenerg-3144	842	6	of	of	ADP
fuelectenerg-3144	842	7	an	an	DET
fuelectenerg-3144	842	8	encoding	encoding	NOUN
fuelectenerg-3144	842	9	represented	represent	VERB
fuelectenerg-3144	842	10	as	as	ADP
fuelectenerg-3144	842	11	binary	binary	ADJ
fuelectenerg-3144	842	12	data	datum	NOUN
fuelectenerg-3144	842	13	that	that	PRON
fuelectenerg-3144	842	14	can	can	AUX
fuelectenerg-3144	842	15	be	be	AUX
fuelectenerg-3144	842	16	input	input	ADJ
fuelectenerg-3144	842	17	to	to	ADP
fuelectenerg-3144	842	18	a	a	DET
fuelectenerg-3144	842	19	quantum	quantum	ADJ
fuelectenerg-3144	842	20	oracle	oracle	NOUN
fuelectenerg-3144	842	21	.	.	PUNCT
fuelectenerg-3144	843	1	in	in	ADP
fuelectenerg-3144	843	2	this	this	DET
fuelectenerg-3144	843	3	figure	figure	NOUN
fuelectenerg-3144	843	4	as	as	ADV
fuelectenerg-3144	843	5	well	well	ADV
fuelectenerg-3144	843	6	as	as	ADP
fuelectenerg-3144	843	7	others	other	NOUN
fuelectenerg-3144	843	8	in	in	ADP
fuelectenerg-3144	843	9	this	this	DET
fuelectenerg-3144	843	10	section	section	NOUN
fuelectenerg-3144	843	11	,	,	PUNCT
fuelectenerg-3144	843	12	the	the	DET
fuelectenerg-3144	843	13	notation	notation	PROPN
fuelectenerg-3144	843	14	qi(sj	qi(sj	PROPN
fuelectenerg-3144	843	15	)	)	PUNCT
fuelectenerg-3144	843	16	denotes	denote	VERB
fuelectenerg-3144	843	17	the	the	DET
fuelectenerg-3144	843	18	value	value	NOUN
fuelectenerg-3144	843	19	assigned	assign	VERB
fuelectenerg-3144	843	20	to	to	ADP
fuelectenerg-3144	843	21	qi	qi	PRON
fuelectenerg-3144	843	22	in	in	ADP
fuelectenerg-3144	843	23	the	the	DET
fuelectenerg-3144	843	24	encoding	encoding	NOUN
fuelectenerg-3144	843	25	of	of	ADP
fuelectenerg-3144	843	26	sj	sj	PROPN
fuelectenerg-3144	843	27	.	.	PUNCT
fuelectenerg-3144	844	1	similarly	similarly	ADV
fuelectenerg-3144	844	2	,	,	PUNCT
fuelectenerg-3144	844	3	xi(ij	xi(ij	PROPN
fuelectenerg-3144	844	4	)	)	PUNCT
fuelectenerg-3144	844	5	denotes	denote	VERB
fuelectenerg-3144	844	6	the	the	DET
fuelectenerg-3144	844	7	value	value	NOUN
fuelectenerg-3144	844	8	assigned	assign	VERB
fuelectenerg-3144	844	9	to	to	ADP
fuelectenerg-3144	844	10	xi	xi	PROPN
fuelectenerg-3144	844	11	in	in	ADP
fuelectenerg-3144	844	12	the	the	DET
fuelectenerg-3144	844	13	encoding	encoding	NOUN
fuelectenerg-3144	844	14	of	of	ADP
fuelectenerg-3144	844	15	ij	ij	NOUN
fuelectenerg-3144	844	16	.	.	PUNCT
fuelectenerg-3144	845	1	the	the	DET
fuelectenerg-3144	845	2	number	number	NOUN
fuelectenerg-3144	845	3	of	of	ADP
fuelectenerg-3144	845	4	input	input	NOUN
fuelectenerg-3144	845	5	qubits	qubit	NOUN
fuelectenerg-3144	845	6	to	to	ADP
fuelectenerg-3144	845	7	a	a	DET
fuelectenerg-3144	845	8	quantum	quantum	ADJ
fuelectenerg-3144	845	9	oracle	oracle	NOUN
fuelectenerg-3144	845	10	is	be	AUX
fuelectenerg-3144	845	11	of	of	ADP
fuelectenerg-3144	845	12	great	great	ADJ
fuelectenerg-3144	845	13	importance	importance	NOUN
fuelectenerg-3144	845	14	as	as	SCONJ
fuelectenerg-3144	845	15	it	it	PRON
fuelectenerg-3144	845	16	determines	determine	VERB
fuelectenerg-3144	845	17	the	the	DET
fuelectenerg-3144	845	18	run	run	ADJ
fuelectenerg-3144	845	19	time	time	NOUN
fuelectenerg-3144	845	20	of	of	ADP
fuelectenerg-3144	845	21	grover	grover	NOUN
fuelectenerg-3144	845	22	’s	’s	PART
fuelectenerg-3144	845	23	algorithm	algorithm	NOUN
fuelectenerg-3144	845	24	.	.	PUNCT
fuelectenerg-3144	846	1	if	if	SCONJ
fuelectenerg-3144	846	2	an	an	DET
fuelectenerg-3144	846	3	fsm	fsm	PROPN
fuelectenerg-3144	846	4	has	have	VERB
fuelectenerg-3144	846	5	2n	2n	NUM
fuelectenerg-3144	846	6	internal	internal	ADJ
fuelectenerg-3144	846	7	states	state	NOUN
fuelectenerg-3144	846	8	,	,	PUNCT
fuelectenerg-3144	846	9	each	each	DET
fuelectenerg-3144	846	10	state	state	NOUN
fuelectenerg-3144	846	11	will	will	AUX
fuelectenerg-3144	846	12	be	be	AUX
fuelectenerg-3144	846	13	encoded	encode	VERB
fuelectenerg-3144	846	14	using	use	VERB
fuelectenerg-3144	846	15	n	n	DET
fuelectenerg-3144	846	16	bits	bit	NOUN
fuelectenerg-3144	846	17	,	,	PUNCT
fuelectenerg-3144	846	18	and	and	CCONJ
fuelectenerg-3144	846	19	therefore	therefore	ADV
fuelectenerg-3144	846	20	,	,	PUNCT
fuelectenerg-3144	846	21	our	our	PRON
fuelectenerg-3144	846	22	scheme	scheme	NOUN
fuelectenerg-3144	846	23	for	for	ADP
fuelectenerg-3144	846	24	representing	represent	VERB
fuelectenerg-3144	846	25	encodings	encoding	NOUN
fuelectenerg-3144	846	26	requires	require	VERB
fuelectenerg-3144	846	27	2n	2n	NUM
fuelectenerg-3144	846	28	arrays	array	NOUN
fuelectenerg-3144	846	29	of	of	ADP
fuelectenerg-3144	846	30	n	n	PRON
fuelectenerg-3144	846	31	qubits	qubit	NOUN
fuelectenerg-3144	846	32	each	each	PRON
fuelectenerg-3144	846	33	,	,	PUNCT
fuelectenerg-3144	846	34	for	for	ADP
fuelectenerg-3144	846	35	a	a	DET
fuelectenerg-3144	846	36	total	total	NOUN
fuelectenerg-3144	846	37	of	of	ADP
fuelectenerg-3144	846	38	n	n	PRON
fuelectenerg-3144	846	39	·	·	PUNCT
fuelectenerg-3144	846	40	2n	2n	NUM
fuelectenerg-3144	846	41	qubits	qubit	NOUN
fuelectenerg-3144	846	42	.	.	PUNCT
fuelectenerg-3144	847	1	similarly	similarly	ADV
fuelectenerg-3144	847	2	,	,	PUNCT
fuelectenerg-3144	847	3	for	for	ADP
fuelectenerg-3144	847	4	an	an	DET
fuelectenerg-3144	847	5	fsm	fsm	NOUN
fuelectenerg-3144	847	6	with	with	ADP
fuelectenerg-3144	847	7	2	2	NUM
fuelectenerg-3144	847	8	m	m	NOUN
fuelectenerg-3144	847	9	input	input	NOUN
fuelectenerg-3144	847	10	values	value	NOUN
fuelectenerg-3144	847	11	,	,	PUNCT
fuelectenerg-3144	847	12	our	our	PRON
fuelectenerg-3144	847	13	scheme	scheme	NOUN
fuelectenerg-3144	847	14	requires	require	VERB
fuelectenerg-3144	847	15	m	m	PROPN
fuelectenerg-3144	847	16	·	·	PUNCT
fuelectenerg-3144	847	17	2	2	NUM
fuelectenerg-3144	847	18	m	m	NOUN
fuelectenerg-3144	847	19	qubits	qubit	NOUN
fuelectenerg-3144	847	20	.	.	PUNCT
fuelectenerg-3144	848	1	thus	thus	ADV
fuelectenerg-3144	848	2	,	,	PUNCT
fuelectenerg-3144	848	3	an	an	DET
fuelectenerg-3144	848	4	fsm	fsm	NOUN
fuelectenerg-3144	848	5	with	with	ADP
fuelectenerg-3144	848	6	2n	2n	NUM
fuelectenerg-3144	848	7	internal	internal	ADJ
fuelectenerg-3144	848	8	states	state	NOUN
fuelectenerg-3144	848	9	and	and	CCONJ
fuelectenerg-3144	848	10	2	2	NUM
fuelectenerg-3144	848	11	m	m	NOUN
fuelectenerg-3144	848	12	input	input	NOUN
fuelectenerg-3144	848	13	values	value	NOUN
fuelectenerg-3144	848	14	requires	require	VERB
fuelectenerg-3144	848	15	a	a	DET
fuelectenerg-3144	848	16	grand	grand	ADJ
fuelectenerg-3144	848	17	total	total	NOUN
fuelectenerg-3144	848	18	of	of	ADP
fuelectenerg-3144	848	19	n	n	PROPN
fuelectenerg-3144	848	20	·	·	PUNCT
fuelectenerg-3144	848	21	2n	2n	NUM
fuelectenerg-3144	849	1	+	+	PROPN
fuelectenerg-3144	849	2	m	m	PROPN
fuelectenerg-3144	849	3	·	·	PUNCT
fuelectenerg-3144	849	4	2	2	NUM
fuelectenerg-3144	849	5	m	m	NOUN
fuelectenerg-3144	849	6	qubits	qubit	NOUN
fuelectenerg-3144	849	7	.	.	PUNCT
fuelectenerg-3144	850	1	22	22	NUM
fuelectenerg-3144	850	2	q1q2s	q1q2s	NUM
fuelectenerg-3144	850	3	s1	s1	NOUN
fuelectenerg-3144	850	4	0	0	NUM
fuelectenerg-3144	850	5	1	1	NUM
fuelectenerg-3144	850	6	s2	s2	NOUN
fuelectenerg-3144	850	7	1	1	NUM
fuelectenerg-3144	850	8	0	0	NUM
fuelectenerg-3144	850	9	s3	s3	NOUN
fuelectenerg-3144	850	10	0	0	NUM
fuelectenerg-3144	850	11	0	0	NUM
fuelectenerg-3144	850	12	s4	s4	PROPN
fuelectenerg-3144	850	13	1	1	NUM
fuelectenerg-3144	850	14	1	1	NUM
fuelectenerg-3144	850	15	x1	x1	PROPN
fuelectenerg-3144	850	16	x2i	x2i	PROPN
fuelectenerg-3144	850	17	i1	i1	PROPN
fuelectenerg-3144	850	18	1	1	NUM
fuelectenerg-3144	850	19	0	0	NUM
fuelectenerg-3144	850	20	i2	i2	NOUN
fuelectenerg-3144	850	21	1	1	NUM
fuelectenerg-3144	850	22	1	1	NUM
fuelectenerg-3144	850	23	i3	i3	NOUN
fuelectenerg-3144	850	24	0	0	NUM
fuelectenerg-3144	850	25	1	1	NUM
fuelectenerg-3144	850	26	i4	i4	PROPN
fuelectenerg-3144	850	27	0	0	NUM
fuelectenerg-3144	850	28	0	0	NUM
fuelectenerg-3144	851	1	(	(	PUNCT
fuelectenerg-3144	851	2	a	a	X
fuelectenerg-3144	851	3	)	)	PUNCT
fuelectenerg-3144	851	4	q1(s1	q1(s1	NOUN
fuelectenerg-3144	851	5	)	)	PUNCT
fuelectenerg-3144	851	6	q2(s1	q2(s1	ADJ
fuelectenerg-3144	851	7	)	)	PUNCT
fuelectenerg-3144	851	8	q1(s2	q1(s2	NOUN
fuelectenerg-3144	851	9	)	)	PUNCT
fuelectenerg-3144	851	10	q2(s2	q2(s2	NOUN
fuelectenerg-3144	851	11	)	)	PUNCT
fuelectenerg-3144	851	12	q1(s3	q1(s3	NOUN
fuelectenerg-3144	851	13	)	)	PUNCT
fuelectenerg-3144	851	14	q2(s3	q2(s3	PROPN
fuelectenerg-3144	851	15	)	)	PUNCT
fuelectenerg-3144	851	16	q1(s4	q1(s4	PROPN
fuelectenerg-3144	851	17	)	)	PUNCT
fuelectenerg-3144	851	18	q2(s4	q2(s4	PROPN
fuelectenerg-3144	851	19	)	)	PUNCT
fuelectenerg-3144	851	20	x1(i1	x1(i1	PROPN
fuelectenerg-3144	851	21	)	)	PUNCT
fuelectenerg-3144	851	22	x2(i1	x2(i1	PROPN
fuelectenerg-3144	851	23	)	)	PUNCT
fuelectenerg-3144	852	1	x1(i4	x1(i4	PROPN
fuelectenerg-3144	852	2	)	)	PUNCT
fuelectenerg-3144	852	3	x2(i4	x2(i4	NOUN
fuelectenerg-3144	852	4	)	)	PUNCT
fuelectenerg-3144	852	5	0	0	NUM
fuelectenerg-3144	852	6	0	0	NUM
fuelectenerg-3144	852	7	0	0	NUM
fuelectenerg-3144	852	8	1	1	NUM
fuelectenerg-3144	852	9	1	1	NUM
fuelectenerg-3144	852	10	1	1	NUM
fuelectenerg-3144	852	11	0	0	NUM
fuelectenerg-3144	852	12	0	0	NUM
fuelectenerg-3144	852	13	0	0	NUM
fuelectenerg-3144	852	14	1	1	NUM
fuelectenerg-3144	852	15	1	1	NUM
fuelectenerg-3144	852	16	0	0	NUM
fuelectenerg-3144	852	17	encoding	encoding	NOUN
fuelectenerg-3144	852	18	of	of	ADP
fuelectenerg-3144	852	19	i4	i4	PROPN
fuelectenerg-3144	852	20	encoding	encoding	PROPN
fuelectenerg-3144	852	21	of	of	ADP
fuelectenerg-3144	852	22	i1	i1	PROPN
fuelectenerg-3144	852	23	encoding	encoding	PROPN
fuelectenerg-3144	852	24	of	of	ADP
fuelectenerg-3144	852	25	s4	s4	PROPN
fuelectenerg-3144	852	26	encoding	encoding	NOUN
fuelectenerg-3144	852	27	of	of	ADP
fuelectenerg-3144	852	28	s3	s3	PROPN
fuelectenerg-3144	852	29	encoding	encoding	NOUN
fuelectenerg-3144	852	30	of	of	ADP
fuelectenerg-3144	852	31	s2	s2	PROPN
fuelectenerg-3144	852	32	encoding	encoding	NOUN
fuelectenerg-3144	852	33	of	of	ADP
fuelectenerg-3144	852	34	s1	s1	PROPN
fuelectenerg-3144	852	35	y	y	PROPN
fuelectenerg-3144	852	36	f	f	PROPN
fuelectenerg-3144	852	37	(	(	PUNCT
fuelectenerg-3144	852	38	b	b	NOUN
fuelectenerg-3144	852	39	)	)	PUNCT
fuelectenerg-3144	852	40	figure	figure	NOUN
fuelectenerg-3144	852	41	10	10	NUM
fuelectenerg-3144	852	42	:	:	PUNCT
fuelectenerg-3144	852	43	the	the	DET
fuelectenerg-3144	852	44	quantum	quantum	PROPN
fuelectenerg-3144	852	45	oracle	oracle	NOUN
fuelectenerg-3144	852	46	’s	’s	PART
fuelectenerg-3144	852	47	representation	representation	NOUN
fuelectenerg-3144	852	48	of	of	ADP
fuelectenerg-3144	852	49	an	an	DET
fuelectenerg-3144	852	50	encoding	encoding	NOUN
fuelectenerg-3144	852	51	as	as	ADP
fuelectenerg-3144	852	52	binary	binary	ADJ
fuelectenerg-3144	852	53	data	datum	NOUN
fuelectenerg-3144	852	54	—	—	PUNCT
fuelectenerg-3144	852	55	(	(	PUNCT
fuelectenerg-3144	852	56	a	a	NOUN
fuelectenerg-3144	852	57	)	)	PUNCT
fuelectenerg-3144	852	58	state	state	NOUN
fuelectenerg-3144	852	59	and	and	CCONJ
fuelectenerg-3144	852	60	input	input	NOUN
fuelectenerg-3144	852	61	encodings	encoding	NOUN
fuelectenerg-3144	852	62	for	for	ADP
fuelectenerg-3144	852	63	an	an	DET
fuelectenerg-3144	852	64	fsm	fsm	PROPN
fuelectenerg-3144	852	65	;	;	PUNCT
fuelectenerg-3144	852	66	(	(	PUNCT
fuelectenerg-3144	852	67	b	b	X
fuelectenerg-3144	852	68	)	)	PUNCT
fuelectenerg-3144	852	69	their	their	PRON
fuelectenerg-3144	852	70	representations	representation	NOUN
fuelectenerg-3144	852	71	as	as	SCONJ
fuelectenerg-3144	852	72	supplied	supply	VERB
fuelectenerg-3144	852	73	to	to	ADP
fuelectenerg-3144	852	74	the	the	DET
fuelectenerg-3144	852	75	oracle	oracle	NOUN
fuelectenerg-3144	852	76	.	.	PUNCT
fuelectenerg-3144	853	1	23	23	NUM
fuelectenerg-3144	853	2	190	190	NUM
fuelectenerg-3144	853	3	e.	e.	PROPN
fuelectenerg-3144	853	4	tsai	tsai	PROPN
fuelectenerg-3144	853	5	,	,	PUNCT
fuelectenerg-3144	853	6	m.	m.	PROPN
fuelectenerg-3144	853	7	perkowski	perkowski	PROPN
fuelectenerg-3144	853	8	a	a	DET
fuelectenerg-3144	853	9	quantum	quantum	ADJ
fuelectenerg-3144	853	10	algorithm	algorithm	NOUN
fuelectenerg-3144	853	11	for	for	ADP
fuelectenerg-3144	853	12	automata	automata	NOUN
fuelectenerg-3144	853	13	encoding	encode	VERB
fuelectenerg-3144	853	14	191	191	NUM
fuelectenerg-3144	853	15	bijective	bijective	ADJ
fuelectenerg-3144	853	16	.	.	PUNCT
fuelectenerg-3144	854	1	bijectivity	bijectivity	NOUN
fuelectenerg-3144	854	2	of	of	ADP
fuelectenerg-3144	854	3	an	an	DET
fuelectenerg-3144	854	4	encoding	encoding	NOUN
fuelectenerg-3144	854	5	is	be	AUX
fuelectenerg-3144	854	6	equivalent	equivalent	ADJ
fuelectenerg-3144	854	7	to	to	ADP
fuelectenerg-3144	854	8	the	the	DET
fuelectenerg-3144	854	9	condition	condition	NOUN
fuelectenerg-3144	854	10	that	that	SCONJ
fuelectenerg-3144	854	11	the	the	DET
fuelectenerg-3144	854	12	numbers	number	NOUN
fuelectenerg-3144	854	13	of	of	ADP
fuelectenerg-3144	854	14	states	state	NOUN
fuelectenerg-3144	854	15	and	and	CCONJ
fuelectenerg-3144	854	16	inputs	input	NOUN
fuelectenerg-3144	854	17	are	be	AUX
fuelectenerg-3144	854	18	both	both	DET
fuelectenerg-3144	854	19	powers	power	NOUN
fuelectenerg-3144	854	20	of	of	ADP
fuelectenerg-3144	854	21	two	two	NUM
fuelectenerg-3144	854	22	,	,	PUNCT
fuelectenerg-3144	854	23	the	the	DET
fuelectenerg-3144	854	24	minimum	minimum	ADJ
fuelectenerg-3144	854	25	possible	possible	ADJ
fuelectenerg-3144	854	26	number	number	NOUN
fuelectenerg-3144	854	27	of	of	ADP
fuelectenerg-3144	854	28	state	state	NOUN
fuelectenerg-3144	854	29	and	and	CCONJ
fuelectenerg-3144	854	30	input	input	NOUN
fuelectenerg-3144	854	31	variables	variable	NOUN
fuelectenerg-3144	854	32	are	be	AUX
fuelectenerg-3144	854	33	used	use	VERB
fuelectenerg-3144	854	34	,	,	PUNCT
fuelectenerg-3144	854	35	and	and	CCONJ
fuelectenerg-3144	854	36	no	no	DET
fuelectenerg-3144	854	37	two	two	NUM
fuelectenerg-3144	854	38	distinct	distinct	ADJ
fuelectenerg-3144	854	39	states	state	NOUN
fuelectenerg-3144	854	40	or	or	CCONJ
fuelectenerg-3144	854	41	inputs	input	NOUN
fuelectenerg-3144	854	42	may	may	AUX
fuelectenerg-3144	854	43	be	be	AUX
fuelectenerg-3144	854	44	assigned	assign	VERB
fuelectenerg-3144	854	45	the	the	DET
fuelectenerg-3144	854	46	same	same	ADJ
fuelectenerg-3144	854	47	encoding	encoding	NOUN
fuelectenerg-3144	854	48	.	.	PUNCT
fuelectenerg-3144	855	1	5	5	NUM
fuelectenerg-3144	855	2	design	design	NOUN
fuelectenerg-3144	855	3	of	of	ADP
fuelectenerg-3144	855	4	a	a	DET
fuelectenerg-3144	855	5	quantum	quantum	ADJ
fuelectenerg-3144	855	6	oracle	oracle	NOUN
fuelectenerg-3144	855	7	to	to	PART
fuelectenerg-3144	855	8	find	find	VERB
fuelectenerg-3144	855	9	optimal	optimal	ADJ
fuelectenerg-3144	855	10	encodings	encoding	NOUN
fuelectenerg-3144	855	11	5.1	5.1	NUM
fuelectenerg-3144	855	12	binary	binary	ADJ
fuelectenerg-3144	855	13	representation	representation	NOUN
fuelectenerg-3144	855	14	of	of	ADP
fuelectenerg-3144	855	15	encodings	encoding	NOUN
fuelectenerg-3144	855	16	in	in	ADP
fuelectenerg-3144	855	17	the	the	DET
fuelectenerg-3144	855	18	quantum	quantum	ADJ
fuelectenerg-3144	855	19	oracle	oracle	NOUN
fuelectenerg-3144	855	20	we	we	PRON
fuelectenerg-3144	855	21	now	now	ADV
fuelectenerg-3144	855	22	demonstrate	demonstrate	VERB
fuelectenerg-3144	855	23	how	how	SCONJ
fuelectenerg-3144	855	24	to	to	PART
fuelectenerg-3144	855	25	,	,	PUNCT
fuelectenerg-3144	855	26	given	give	VERB
fuelectenerg-3144	855	27	an	an	DET
fuelectenerg-3144	855	28	fsm	fsm	NOUN
fuelectenerg-3144	855	29	and	and	CCONJ
fuelectenerg-3144	855	30	a	a	DET
fuelectenerg-3144	855	31	threshold	threshold	NOUN
fuelectenerg-3144	855	32	value	value	NOUN
fuelectenerg-3144	855	33	r	r	NOUN
fuelectenerg-3144	855	34	,	,	PUNCT
fuelectenerg-3144	855	35	construct	construct	VERB
fuelectenerg-3144	855	36	a	a	DET
fuelectenerg-3144	855	37	quantum	quantum	ADJ
fuelectenerg-3144	855	38	oracle	oracle	NOUN
fuelectenerg-3144	855	39	that	that	PRON
fuelectenerg-3144	855	40	,	,	PUNCT
fuelectenerg-3144	855	41	when	when	SCONJ
fuelectenerg-3144	855	42	given	give	VERB
fuelectenerg-3144	855	43	an	an	DET
fuelectenerg-3144	855	44	encoding	encoding	NOUN
fuelectenerg-3144	855	45	for	for	ADP
fuelectenerg-3144	855	46	that	that	DET
fuelectenerg-3144	855	47	fsm	fsm	PROPN
fuelectenerg-3144	855	48	as	as	ADP
fuelectenerg-3144	855	49	input	input	NOUN
fuelectenerg-3144	855	50	,	,	PUNCT
fuelectenerg-3144	855	51	determines	determine	VERB
fuelectenerg-3144	855	52	whether	whether	SCONJ
fuelectenerg-3144	855	53	the	the	DET
fuelectenerg-3144	855	54	cost	cost	NOUN
fuelectenerg-3144	855	55	of	of	ADP
fuelectenerg-3144	855	56	the	the	DET
fuelectenerg-3144	855	57	encoding	encoding	NOUN
fuelectenerg-3144	855	58	is	be	AUX
fuelectenerg-3144	855	59	less	less	ADJ
fuelectenerg-3144	855	60	than	than	ADP
fuelectenerg-3144	855	61	r.	r.	NOUN
fuelectenerg-3144	855	62	using	use	VERB
fuelectenerg-3144	855	63	this	this	DET
fuelectenerg-3144	855	64	quantum	quantum	ADJ
fuelectenerg-3144	855	65	oracle	oracle	NOUN
fuelectenerg-3144	855	66	,	,	PUNCT
fuelectenerg-3144	855	67	the	the	DET
fuelectenerg-3144	855	68	procedure	procedure	NOUN
fuelectenerg-3144	855	69	described	describe	VERB
fuelectenerg-3144	855	70	in	in	ADP
fuelectenerg-3144	855	71	section	section	NOUN
fuelectenerg-3144	855	72	3.2	3.2	NUM
fuelectenerg-3144	855	73	then	then	ADV
fuelectenerg-3144	855	74	constitutes	constitute	VERB
fuelectenerg-3144	855	75	a	a	DET
fuelectenerg-3144	855	76	complete	complete	ADJ
fuelectenerg-3144	855	77	algorithm	algorithm	NOUN
fuelectenerg-3144	855	78	for	for	ADP
fuelectenerg-3144	855	79	finding	find	VERB
fuelectenerg-3144	855	80	the	the	DET
fuelectenerg-3144	855	81	exact	exact	ADJ
fuelectenerg-3144	855	82	minimum	minimum	ADJ
fuelectenerg-3144	855	83	solution	solution	NOUN
fuelectenerg-3144	855	84	to	to	ADP
fuelectenerg-3144	855	85	the	the	DET
fuelectenerg-3144	855	86	fsm	fsm	PROPN
fuelectenerg-3144	855	87	encoding	encoding	NOUN
fuelectenerg-3144	855	88	problem	problem	NOUN
fuelectenerg-3144	855	89	under	under	ADP
fuelectenerg-3144	855	90	the	the	DET
fuelectenerg-3144	855	91	assumptions	assumption	NOUN
fuelectenerg-3144	855	92	and	and	CCONJ
fuelectenerg-3144	855	93	conditions	condition	NOUN
fuelectenerg-3144	855	94	described	describe	VERB
fuelectenerg-3144	855	95	before	before	ADV
fuelectenerg-3144	855	96	.	.	PUNCT
fuelectenerg-3144	856	1	as	as	ADP
fuelectenerg-3144	856	2	the	the	DET
fuelectenerg-3144	856	3	first	first	ADJ
fuelectenerg-3144	856	4	design	design	NOUN
fuelectenerg-3144	856	5	step	step	NOUN
fuelectenerg-3144	856	6	,	,	PUNCT
fuelectenerg-3144	856	7	we	we	PRON
fuelectenerg-3144	856	8	must	must	AUX
fuelectenerg-3144	856	9	agree	agree	VERB
fuelectenerg-3144	856	10	on	on	ADP
fuelectenerg-3144	856	11	the	the	DET
fuelectenerg-3144	856	12	manner	manner	NOUN
fuelectenerg-3144	856	13	in	in	ADP
fuelectenerg-3144	856	14	which	which	PRON
fuelectenerg-3144	856	15	a	a	DET
fuelectenerg-3144	856	16	candidate	candidate	NOUN
fuelectenerg-3144	856	17	encoding	encoding	NOUN
fuelectenerg-3144	856	18	is	be	AUX
fuelectenerg-3144	856	19	to	to	PART
fuelectenerg-3144	856	20	be	be	AUX
fuelectenerg-3144	856	21	supplied	supply	VERB
fuelectenerg-3144	856	22	as	as	ADP
fuelectenerg-3144	856	23	input	input	NOUN
fuelectenerg-3144	856	24	to	to	ADP
fuelectenerg-3144	856	25	the	the	DET
fuelectenerg-3144	856	26	oracle	oracle	NOUN
fuelectenerg-3144	856	27	.	.	PUNCT
fuelectenerg-3144	857	1	we	we	PRON
fuelectenerg-3144	857	2	will	will	AUX
fuelectenerg-3144	857	3	use	use	VERB
fuelectenerg-3144	857	4	the	the	DET
fuelectenerg-3144	857	5	following	follow	VERB
fuelectenerg-3144	857	6	scheme	scheme	NOUN
fuelectenerg-3144	857	7	to	to	PART
fuelectenerg-3144	857	8	represent	represent	VERB
fuelectenerg-3144	857	9	an	an	DET
fuelectenerg-3144	857	10	encoding	encoding	NOUN
fuelectenerg-3144	857	11	as	as	ADP
fuelectenerg-3144	857	12	binary	binary	ADJ
fuelectenerg-3144	857	13	data	datum	NOUN
fuelectenerg-3144	857	14	:	:	PUNCT
fuelectenerg-3144	857	15	letting	let	VERB
fuelectenerg-3144	857	16	n	n	PRON
fuelectenerg-3144	857	17	be	be	AUX
fuelectenerg-3144	857	18	the	the	DET
fuelectenerg-3144	857	19	number	number	NOUN
fuelectenerg-3144	857	20	of	of	ADP
fuelectenerg-3144	857	21	bits	bit	NOUN
fuelectenerg-3144	857	22	used	use	VERB
fuelectenerg-3144	857	23	by	by	ADP
fuelectenerg-3144	857	24	the	the	DET
fuelectenerg-3144	857	25	encoding	encoding	NOUN
fuelectenerg-3144	857	26	,	,	PUNCT
fuelectenerg-3144	857	27	we	we	PRON
fuelectenerg-3144	857	28	allocate	allocate	VERB
fuelectenerg-3144	857	29	an	an	DET
fuelectenerg-3144	857	30	array	array	NOUN
fuelectenerg-3144	857	31	of	of	ADP
fuelectenerg-3144	857	32	n	n	DET
fuelectenerg-3144	857	33	qubits	qubit	NOUN
fuelectenerg-3144	857	34	for	for	ADP
fuelectenerg-3144	857	35	each	each	DET
fuelectenerg-3144	857	36	element	element	NOUN
fuelectenerg-3144	857	37	of	of	ADP
fuelectenerg-3144	857	38	the	the	DET
fuelectenerg-3144	857	39	set	set	NOUN
fuelectenerg-3144	857	40	being	be	AUX
fuelectenerg-3144	857	41	encoded	encode	VERB
fuelectenerg-3144	857	42	(	(	PUNCT
fuelectenerg-3144	857	43	either	either	CCONJ
fuelectenerg-3144	857	44	the	the	DET
fuelectenerg-3144	857	45	state	state	NOUN
fuelectenerg-3144	857	46	or	or	CCONJ
fuelectenerg-3144	857	47	input	input	NOUN
fuelectenerg-3144	857	48	set	set	NOUN
fuelectenerg-3144	857	49	of	of	ADP
fuelectenerg-3144	857	50	an	an	DET
fuelectenerg-3144	857	51	fsm	fsm	PROPN
fuelectenerg-3144	857	52	)	)	PUNCT
fuelectenerg-3144	857	53	,	,	PUNCT
fuelectenerg-3144	857	54	and	and	CCONJ
fuelectenerg-3144	857	55	assign	assign	VERB
fuelectenerg-3144	857	56	to	to	ADP
fuelectenerg-3144	857	57	each	each	DET
fuelectenerg-3144	857	58	such	such	ADJ
fuelectenerg-3144	857	59	array	array	NOUN
fuelectenerg-3144	857	60	the	the	DET
fuelectenerg-3144	857	61	encoded	encode	VERB
fuelectenerg-3144	857	62	value	value	NOUN
fuelectenerg-3144	857	63	of	of	ADP
fuelectenerg-3144	857	64	the	the	DET
fuelectenerg-3144	857	65	corresponding	corresponding	ADJ
fuelectenerg-3144	857	66	set	set	NOUN
fuelectenerg-3144	857	67	element	element	NOUN
fuelectenerg-3144	857	68	.	.	PUNCT
fuelectenerg-3144	858	1	for	for	ADP
fuelectenerg-3144	858	2	instance	instance	NOUN
fuelectenerg-3144	858	3	,	,	PUNCT
fuelectenerg-3144	858	4	suppose	suppose	VERB
fuelectenerg-3144	858	5	that	that	SCONJ
fuelectenerg-3144	858	6	s1	s1	PROPN
fuelectenerg-3144	858	7	through	through	ADP
fuelectenerg-3144	858	8	s4	s4	PROPN
fuelectenerg-3144	858	9	are	be	AUX
fuelectenerg-3144	858	10	the	the	DET
fuelectenerg-3144	858	11	internal	internal	ADJ
fuelectenerg-3144	858	12	states	state	NOUN
fuelectenerg-3144	858	13	of	of	ADP
fuelectenerg-3144	858	14	an	an	DET
fuelectenerg-3144	858	15	fsm	fsm	PROPN
fuelectenerg-3144	858	16	.	.	PUNCT
fuelectenerg-3144	859	1	since	since	SCONJ
fuelectenerg-3144	859	2	we	we	PRON
fuelectenerg-3144	859	3	require	require	VERB
fuelectenerg-3144	859	4	all	all	DET
fuelectenerg-3144	859	5	encodings	encoding	NOUN
fuelectenerg-3144	859	6	to	to	PART
fuelectenerg-3144	859	7	be	be	AUX
fuelectenerg-3144	859	8	bijective	bijective	ADJ
fuelectenerg-3144	859	9	,	,	PUNCT
fuelectenerg-3144	859	10	only	only	ADV
fuelectenerg-3144	859	11	2	2	NUM
fuelectenerg-3144	859	12	-	-	PUNCT
fuelectenerg-3144	859	13	bit	bit	NOUN
fuelectenerg-3144	859	14	state	state	NOUN
fuelectenerg-3144	859	15	encodings	encoding	NOUN
fuelectenerg-3144	859	16	will	will	AUX
fuelectenerg-3144	859	17	be	be	AUX
fuelectenerg-3144	859	18	considered	consider	VERB
fuelectenerg-3144	859	19	for	for	ADP
fuelectenerg-3144	859	20	this	this	DET
fuelectenerg-3144	859	21	fsm	fsm	PROPN
fuelectenerg-3144	859	22	.	.	PUNCT
fuelectenerg-3144	860	1	we	we	PRON
fuelectenerg-3144	860	2	therefore	therefore	ADV
fuelectenerg-3144	860	3	create	create	VERB
fuelectenerg-3144	860	4	four	four	NUM
fuelectenerg-3144	860	5	arrays	array	NOUN
fuelectenerg-3144	860	6	of	of	ADP
fuelectenerg-3144	860	7	two	two	NUM
fuelectenerg-3144	860	8	qubits	qubit	NOUN
fuelectenerg-3144	860	9	each	each	PRON
fuelectenerg-3144	860	10	,	,	PUNCT
fuelectenerg-3144	860	11	where	where	SCONJ
fuelectenerg-3144	860	12	the	the	DET
fuelectenerg-3144	860	13	input	input	NOUN
fuelectenerg-3144	860	14	supplied	supply	VERB
fuelectenerg-3144	860	15	to	to	ADP
fuelectenerg-3144	860	16	each	each	DET
fuelectenerg-3144	860	17	array	array	NOUN
fuelectenerg-3144	860	18	is	be	AUX
fuelectenerg-3144	860	19	the	the	DET
fuelectenerg-3144	860	20	encoded	encode	VERB
fuelectenerg-3144	860	21	value	value	NOUN
fuelectenerg-3144	860	22	of	of	ADP
fuelectenerg-3144	860	23	the	the	DET
fuelectenerg-3144	860	24	corresponding	corresponding	ADJ
fuelectenerg-3144	860	25	state	state	NOUN
fuelectenerg-3144	860	26	.	.	PUNCT
fuelectenerg-3144	861	1	thus	thus	ADV
fuelectenerg-3144	861	2	,	,	PUNCT
fuelectenerg-3144	861	3	if	if	SCONJ
fuelectenerg-3144	861	4	s1	s1	NOUN
fuelectenerg-3144	861	5	,	,	PUNCT
fuelectenerg-3144	861	6	s2	s2	PROPN
fuelectenerg-3144	861	7	,	,	PUNCT
fuelectenerg-3144	861	8	s3	s3	PROPN
fuelectenerg-3144	861	9	,	,	PUNCT
fuelectenerg-3144	861	10	and	and	CCONJ
fuelectenerg-3144	861	11	s4	s4	PROPN
fuelectenerg-3144	861	12	are	be	AUX
fuelectenerg-3144	861	13	encoded	encode	VERB
fuelectenerg-3144	861	14	by	by	ADP
fuelectenerg-3144	861	15	01	01	NUM
fuelectenerg-3144	861	16	,	,	PUNCT
fuelectenerg-3144	861	17	10	10	NUM
fuelectenerg-3144	861	18	,	,	PUNCT
fuelectenerg-3144	861	19	00	00	NUM
fuelectenerg-3144	861	20	,	,	PUNCT
fuelectenerg-3144	861	21	and	and	CCONJ
fuelectenerg-3144	861	22	11	11	NUM
fuelectenerg-3144	861	23	,	,	PUNCT
fuelectenerg-3144	861	24	respectively	respectively	ADV
fuelectenerg-3144	861	25	,	,	PUNCT
fuelectenerg-3144	861	26	then	then	ADV
fuelectenerg-3144	861	27	we	we	PRON
fuelectenerg-3144	861	28	represent	represent	VERB
fuelectenerg-3144	861	29	this	this	DET
fuelectenerg-3144	861	30	encoding	encoding	NOUN
fuelectenerg-3144	861	31	by	by	ADP
fuelectenerg-3144	861	32	supplying	supply	VERB
fuelectenerg-3144	861	33	01	01	NUM
fuelectenerg-3144	861	34	on	on	ADP
fuelectenerg-3144	861	35	the	the	DET
fuelectenerg-3144	861	36	first	first	ADJ
fuelectenerg-3144	861	37	array	array	NOUN
fuelectenerg-3144	861	38	of	of	ADP
fuelectenerg-3144	861	39	two	two	NUM
fuelectenerg-3144	861	40	qubits	qubit	NOUN
fuelectenerg-3144	861	41	,	,	PUNCT
fuelectenerg-3144	861	42	10	10	NUM
fuelectenerg-3144	861	43	on	on	ADP
fuelectenerg-3144	861	44	the	the	DET
fuelectenerg-3144	861	45	second	second	ADJ
fuelectenerg-3144	861	46	array	array	NOUN
fuelectenerg-3144	861	47	,	,	PUNCT
fuelectenerg-3144	861	48	00	00	PUNCT
fuelectenerg-3144	862	1	on	on	ADP
fuelectenerg-3144	862	2	the	the	DET
fuelectenerg-3144	862	3	third	third	ADJ
fuelectenerg-3144	862	4	array	array	NOUN
fuelectenerg-3144	862	5	,	,	PUNCT
fuelectenerg-3144	862	6	and	and	CCONJ
fuelectenerg-3144	862	7	11	11	NUM
fuelectenerg-3144	862	8	on	on	ADP
fuelectenerg-3144	862	9	the	the	DET
fuelectenerg-3144	862	10	fourth	fourth	ADJ
fuelectenerg-3144	862	11	array	array	NOUN
fuelectenerg-3144	862	12	.	.	PUNCT
fuelectenerg-3144	863	1	input	input	NOUN
fuelectenerg-3144	863	2	encodings	encoding	NOUN
fuelectenerg-3144	863	3	are	be	AUX
fuelectenerg-3144	863	4	also	also	ADV
fuelectenerg-3144	863	5	represented	represent	VERB
fuelectenerg-3144	863	6	in	in	ADP
fuelectenerg-3144	863	7	a	a	DET
fuelectenerg-3144	863	8	similar	similar	ADJ
fuelectenerg-3144	863	9	manner	manner	NOUN
fuelectenerg-3144	863	10	.	.	PUNCT
fuelectenerg-3144	864	1	figure	figure	NOUN
fuelectenerg-3144	864	2	10	10	NUM
fuelectenerg-3144	864	3	provides	provide	VERB
fuelectenerg-3144	864	4	an	an	DET
fuelectenerg-3144	864	5	example	example	NOUN
fuelectenerg-3144	864	6	of	of	ADP
fuelectenerg-3144	864	7	an	an	DET
fuelectenerg-3144	864	8	encoding	encoding	NOUN
fuelectenerg-3144	864	9	represented	represent	VERB
fuelectenerg-3144	864	10	as	as	ADP
fuelectenerg-3144	864	11	binary	binary	ADJ
fuelectenerg-3144	864	12	data	datum	NOUN
fuelectenerg-3144	864	13	that	that	PRON
fuelectenerg-3144	864	14	can	can	AUX
fuelectenerg-3144	864	15	be	be	AUX
fuelectenerg-3144	864	16	input	input	ADJ
fuelectenerg-3144	864	17	to	to	ADP
fuelectenerg-3144	864	18	a	a	DET
fuelectenerg-3144	864	19	quantum	quantum	ADJ
fuelectenerg-3144	864	20	oracle	oracle	NOUN
fuelectenerg-3144	864	21	.	.	PUNCT
fuelectenerg-3144	865	1	in	in	ADP
fuelectenerg-3144	865	2	this	this	DET
fuelectenerg-3144	865	3	figure	figure	NOUN
fuelectenerg-3144	865	4	as	as	ADV
fuelectenerg-3144	865	5	well	well	ADV
fuelectenerg-3144	865	6	as	as	ADP
fuelectenerg-3144	865	7	others	other	NOUN
fuelectenerg-3144	865	8	in	in	ADP
fuelectenerg-3144	865	9	this	this	DET
fuelectenerg-3144	865	10	section	section	NOUN
fuelectenerg-3144	865	11	,	,	PUNCT
fuelectenerg-3144	865	12	the	the	DET
fuelectenerg-3144	865	13	notation	notation	PROPN
fuelectenerg-3144	865	14	qi(sj	qi(sj	PROPN
fuelectenerg-3144	865	15	)	)	PUNCT
fuelectenerg-3144	865	16	denotes	denote	VERB
fuelectenerg-3144	865	17	the	the	DET
fuelectenerg-3144	865	18	value	value	NOUN
fuelectenerg-3144	865	19	assigned	assign	VERB
fuelectenerg-3144	865	20	to	to	ADP
fuelectenerg-3144	865	21	qi	qi	PRON
fuelectenerg-3144	865	22	in	in	ADP
fuelectenerg-3144	865	23	the	the	DET
fuelectenerg-3144	865	24	encoding	encoding	NOUN
fuelectenerg-3144	865	25	of	of	ADP
fuelectenerg-3144	865	26	sj	sj	PROPN
fuelectenerg-3144	865	27	.	.	PUNCT
fuelectenerg-3144	866	1	similarly	similarly	ADV
fuelectenerg-3144	866	2	,	,	PUNCT
fuelectenerg-3144	866	3	xi(ij	xi(ij	PROPN
fuelectenerg-3144	866	4	)	)	PUNCT
fuelectenerg-3144	866	5	denotes	denote	VERB
fuelectenerg-3144	866	6	the	the	DET
fuelectenerg-3144	866	7	value	value	NOUN
fuelectenerg-3144	866	8	assigned	assign	VERB
fuelectenerg-3144	866	9	to	to	ADP
fuelectenerg-3144	866	10	xi	xi	PROPN
fuelectenerg-3144	866	11	in	in	ADP
fuelectenerg-3144	866	12	the	the	DET
fuelectenerg-3144	866	13	encoding	encoding	NOUN
fuelectenerg-3144	866	14	of	of	ADP
fuelectenerg-3144	866	15	ij	ij	NOUN
fuelectenerg-3144	866	16	.	.	PUNCT
fuelectenerg-3144	867	1	the	the	DET
fuelectenerg-3144	867	2	number	number	NOUN
fuelectenerg-3144	867	3	of	of	ADP
fuelectenerg-3144	867	4	input	input	NOUN
fuelectenerg-3144	867	5	qubits	qubit	NOUN
fuelectenerg-3144	867	6	to	to	ADP
fuelectenerg-3144	867	7	a	a	DET
fuelectenerg-3144	867	8	quantum	quantum	ADJ
fuelectenerg-3144	867	9	oracle	oracle	NOUN
fuelectenerg-3144	867	10	is	be	AUX
fuelectenerg-3144	867	11	of	of	ADP
fuelectenerg-3144	867	12	great	great	ADJ
fuelectenerg-3144	867	13	importance	importance	NOUN
fuelectenerg-3144	867	14	as	as	SCONJ
fuelectenerg-3144	867	15	it	it	PRON
fuelectenerg-3144	867	16	determines	determine	VERB
fuelectenerg-3144	867	17	the	the	DET
fuelectenerg-3144	867	18	run	run	ADJ
fuelectenerg-3144	867	19	time	time	NOUN
fuelectenerg-3144	867	20	of	of	ADP
fuelectenerg-3144	867	21	grover	grover	NOUN
fuelectenerg-3144	867	22	’s	’s	PART
fuelectenerg-3144	867	23	algorithm	algorithm	NOUN
fuelectenerg-3144	867	24	.	.	PUNCT
fuelectenerg-3144	868	1	if	if	SCONJ
fuelectenerg-3144	868	2	an	an	DET
fuelectenerg-3144	868	3	fsm	fsm	PROPN
fuelectenerg-3144	868	4	has	have	VERB
fuelectenerg-3144	868	5	2n	2n	NUM
fuelectenerg-3144	868	6	internal	internal	ADJ
fuelectenerg-3144	868	7	states	state	NOUN
fuelectenerg-3144	868	8	,	,	PUNCT
fuelectenerg-3144	868	9	each	each	DET
fuelectenerg-3144	868	10	state	state	NOUN
fuelectenerg-3144	868	11	will	will	AUX
fuelectenerg-3144	868	12	be	be	AUX
fuelectenerg-3144	868	13	encoded	encode	VERB
fuelectenerg-3144	868	14	using	use	VERB
fuelectenerg-3144	868	15	n	n	DET
fuelectenerg-3144	868	16	bits	bit	NOUN
fuelectenerg-3144	868	17	,	,	PUNCT
fuelectenerg-3144	868	18	and	and	CCONJ
fuelectenerg-3144	868	19	therefore	therefore	ADV
fuelectenerg-3144	868	20	,	,	PUNCT
fuelectenerg-3144	868	21	our	our	PRON
fuelectenerg-3144	868	22	scheme	scheme	NOUN
fuelectenerg-3144	868	23	for	for	ADP
fuelectenerg-3144	868	24	representing	represent	VERB
fuelectenerg-3144	868	25	encodings	encoding	NOUN
fuelectenerg-3144	868	26	requires	require	VERB
fuelectenerg-3144	868	27	2n	2n	NUM
fuelectenerg-3144	868	28	arrays	array	NOUN
fuelectenerg-3144	868	29	of	of	ADP
fuelectenerg-3144	868	30	n	n	PRON
fuelectenerg-3144	868	31	qubits	qubit	NOUN
fuelectenerg-3144	868	32	each	each	PRON
fuelectenerg-3144	868	33	,	,	PUNCT
fuelectenerg-3144	868	34	for	for	ADP
fuelectenerg-3144	868	35	a	a	DET
fuelectenerg-3144	868	36	total	total	NOUN
fuelectenerg-3144	868	37	of	of	ADP
fuelectenerg-3144	868	38	n	n	PRON
fuelectenerg-3144	868	39	·	·	PUNCT
fuelectenerg-3144	868	40	2n	2n	NUM
fuelectenerg-3144	868	41	qubits	qubit	NOUN
fuelectenerg-3144	868	42	.	.	PUNCT
fuelectenerg-3144	869	1	similarly	similarly	ADV
fuelectenerg-3144	869	2	,	,	PUNCT
fuelectenerg-3144	869	3	for	for	ADP
fuelectenerg-3144	869	4	an	an	DET
fuelectenerg-3144	869	5	fsm	fsm	NOUN
fuelectenerg-3144	869	6	with	with	ADP
fuelectenerg-3144	869	7	2	2	NUM
fuelectenerg-3144	869	8	m	m	NOUN
fuelectenerg-3144	869	9	input	input	NOUN
fuelectenerg-3144	869	10	values	value	NOUN
fuelectenerg-3144	869	11	,	,	PUNCT
fuelectenerg-3144	869	12	our	our	PRON
fuelectenerg-3144	869	13	scheme	scheme	NOUN
fuelectenerg-3144	869	14	requires	require	VERB
fuelectenerg-3144	869	15	m	m	PROPN
fuelectenerg-3144	869	16	·	·	PUNCT
fuelectenerg-3144	869	17	2	2	NUM
fuelectenerg-3144	869	18	m	m	NOUN
fuelectenerg-3144	869	19	qubits	qubit	NOUN
fuelectenerg-3144	869	20	.	.	PUNCT
fuelectenerg-3144	870	1	thus	thus	ADV
fuelectenerg-3144	870	2	,	,	PUNCT
fuelectenerg-3144	870	3	an	an	DET
fuelectenerg-3144	870	4	fsm	fsm	NOUN
fuelectenerg-3144	870	5	with	with	ADP
fuelectenerg-3144	870	6	2n	2n	NUM
fuelectenerg-3144	870	7	internal	internal	ADJ
fuelectenerg-3144	870	8	states	state	NOUN
fuelectenerg-3144	870	9	and	and	CCONJ
fuelectenerg-3144	870	10	2	2	NUM
fuelectenerg-3144	870	11	m	m	NOUN
fuelectenerg-3144	870	12	input	input	NOUN
fuelectenerg-3144	870	13	values	value	NOUN
fuelectenerg-3144	870	14	requires	require	VERB
fuelectenerg-3144	870	15	a	a	DET
fuelectenerg-3144	870	16	grand	grand	ADJ
fuelectenerg-3144	870	17	total	total	NOUN
fuelectenerg-3144	870	18	of	of	ADP
fuelectenerg-3144	870	19	n	n	PROPN
fuelectenerg-3144	870	20	·	·	PUNCT
fuelectenerg-3144	870	21	2n	2n	NUM
fuelectenerg-3144	871	1	+	+	PROPN
fuelectenerg-3144	871	2	m	m	PROPN
fuelectenerg-3144	871	3	·	·	PUNCT
fuelectenerg-3144	871	4	2	2	NUM
fuelectenerg-3144	871	5	m	m	NOUN
fuelectenerg-3144	871	6	qubits	qubit	NOUN
fuelectenerg-3144	871	7	.	.	PUNCT
fuelectenerg-3144	872	1	22	22	NUM
fuelectenerg-3144	872	2	q1q2s	q1q2s	NUM
fuelectenerg-3144	872	3	s1	s1	NOUN
fuelectenerg-3144	872	4	0	0	NUM
fuelectenerg-3144	872	5	1	1	NUM
fuelectenerg-3144	872	6	s2	s2	NOUN
fuelectenerg-3144	872	7	1	1	NUM
fuelectenerg-3144	872	8	0	0	NUM
fuelectenerg-3144	872	9	s3	s3	NOUN
fuelectenerg-3144	872	10	0	0	NUM
fuelectenerg-3144	872	11	0	0	NUM
fuelectenerg-3144	872	12	s4	s4	PROPN
fuelectenerg-3144	872	13	1	1	NUM
fuelectenerg-3144	872	14	1	1	NUM
fuelectenerg-3144	872	15	x1	x1	PROPN
fuelectenerg-3144	872	16	x2i	x2i	PROPN
fuelectenerg-3144	872	17	i1	i1	PROPN
fuelectenerg-3144	872	18	1	1	NUM
fuelectenerg-3144	872	19	0	0	NUM
fuelectenerg-3144	872	20	i2	i2	NOUN
fuelectenerg-3144	872	21	1	1	NUM
fuelectenerg-3144	872	22	1	1	NUM
fuelectenerg-3144	872	23	i3	i3	NOUN
fuelectenerg-3144	872	24	0	0	NUM
fuelectenerg-3144	872	25	1	1	NUM
fuelectenerg-3144	872	26	i4	i4	PROPN
fuelectenerg-3144	872	27	0	0	NUM
fuelectenerg-3144	872	28	0	0	NUM
fuelectenerg-3144	873	1	(	(	PUNCT
fuelectenerg-3144	873	2	a	a	X
fuelectenerg-3144	873	3	)	)	PUNCT
fuelectenerg-3144	873	4	q1(s1	q1(s1	NOUN
fuelectenerg-3144	873	5	)	)	PUNCT
fuelectenerg-3144	873	6	q2(s1	q2(s1	ADJ
fuelectenerg-3144	873	7	)	)	PUNCT
fuelectenerg-3144	873	8	q1(s2	q1(s2	NOUN
fuelectenerg-3144	873	9	)	)	PUNCT
fuelectenerg-3144	873	10	q2(s2	q2(s2	NOUN
fuelectenerg-3144	873	11	)	)	PUNCT
fuelectenerg-3144	873	12	q1(s3	q1(s3	NOUN
fuelectenerg-3144	873	13	)	)	PUNCT
fuelectenerg-3144	873	14	q2(s3	q2(s3	PROPN
fuelectenerg-3144	873	15	)	)	PUNCT
fuelectenerg-3144	873	16	q1(s4	q1(s4	PROPN
fuelectenerg-3144	873	17	)	)	PUNCT
fuelectenerg-3144	873	18	q2(s4	q2(s4	PROPN
fuelectenerg-3144	873	19	)	)	PUNCT
fuelectenerg-3144	873	20	x1(i1	x1(i1	PROPN
fuelectenerg-3144	873	21	)	)	PUNCT
fuelectenerg-3144	873	22	x2(i1	x2(i1	PROPN
fuelectenerg-3144	873	23	)	)	PUNCT
fuelectenerg-3144	874	1	x1(i4	x1(i4	PROPN
fuelectenerg-3144	874	2	)	)	PUNCT
fuelectenerg-3144	874	3	x2(i4	x2(i4	NOUN
fuelectenerg-3144	874	4	)	)	PUNCT
fuelectenerg-3144	874	5	0	0	NUM
fuelectenerg-3144	874	6	0	0	NUM
fuelectenerg-3144	874	7	0	0	NUM
fuelectenerg-3144	874	8	1	1	NUM
fuelectenerg-3144	874	9	1	1	NUM
fuelectenerg-3144	874	10	1	1	NUM
fuelectenerg-3144	874	11	0	0	NUM
fuelectenerg-3144	874	12	0	0	NUM
fuelectenerg-3144	874	13	0	0	NUM
fuelectenerg-3144	874	14	1	1	NUM
fuelectenerg-3144	874	15	1	1	NUM
fuelectenerg-3144	874	16	0	0	NUM
fuelectenerg-3144	874	17	encoding	encoding	NOUN
fuelectenerg-3144	874	18	of	of	ADP
fuelectenerg-3144	874	19	i4	i4	PROPN
fuelectenerg-3144	874	20	encoding	encoding	PROPN
fuelectenerg-3144	874	21	of	of	ADP
fuelectenerg-3144	874	22	i1	i1	PROPN
fuelectenerg-3144	874	23	encoding	encoding	PROPN
fuelectenerg-3144	874	24	of	of	ADP
fuelectenerg-3144	874	25	s4	s4	PROPN
fuelectenerg-3144	874	26	encoding	encoding	NOUN
fuelectenerg-3144	874	27	of	of	ADP
fuelectenerg-3144	874	28	s3	s3	PROPN
fuelectenerg-3144	874	29	encoding	encoding	NOUN
fuelectenerg-3144	874	30	of	of	ADP
fuelectenerg-3144	874	31	s2	s2	PROPN
fuelectenerg-3144	874	32	encoding	encoding	NOUN
fuelectenerg-3144	874	33	of	of	ADP
fuelectenerg-3144	874	34	s1	s1	PROPN
fuelectenerg-3144	874	35	y	y	PROPN
fuelectenerg-3144	874	36	f	f	PROPN
fuelectenerg-3144	874	37	(	(	PUNCT
fuelectenerg-3144	874	38	b	b	NOUN
fuelectenerg-3144	874	39	)	)	PUNCT
fuelectenerg-3144	874	40	figure	figure	NOUN
fuelectenerg-3144	874	41	10	10	NUM
fuelectenerg-3144	874	42	:	:	PUNCT
fuelectenerg-3144	874	43	the	the	DET
fuelectenerg-3144	874	44	quantum	quantum	PROPN
fuelectenerg-3144	874	45	oracle	oracle	NOUN
fuelectenerg-3144	874	46	’s	’s	PART
fuelectenerg-3144	874	47	representation	representation	NOUN
fuelectenerg-3144	874	48	of	of	ADP
fuelectenerg-3144	874	49	an	an	DET
fuelectenerg-3144	874	50	encoding	encoding	NOUN
fuelectenerg-3144	874	51	as	as	ADP
fuelectenerg-3144	874	52	binary	binary	ADJ
fuelectenerg-3144	874	53	data	datum	NOUN
fuelectenerg-3144	874	54	—	—	PUNCT
fuelectenerg-3144	874	55	(	(	PUNCT
fuelectenerg-3144	874	56	a	a	NOUN
fuelectenerg-3144	874	57	)	)	PUNCT
fuelectenerg-3144	874	58	state	state	NOUN
fuelectenerg-3144	874	59	and	and	CCONJ
fuelectenerg-3144	874	60	input	input	NOUN
fuelectenerg-3144	874	61	encodings	encoding	NOUN
fuelectenerg-3144	874	62	for	for	ADP
fuelectenerg-3144	874	63	an	an	DET
fuelectenerg-3144	874	64	fsm	fsm	PROPN
fuelectenerg-3144	874	65	;	;	PUNCT
fuelectenerg-3144	874	66	(	(	PUNCT
fuelectenerg-3144	874	67	b	b	X
fuelectenerg-3144	874	68	)	)	PUNCT
fuelectenerg-3144	874	69	their	their	PRON
fuelectenerg-3144	874	70	representations	representation	NOUN
fuelectenerg-3144	874	71	as	as	SCONJ
fuelectenerg-3144	874	72	supplied	supply	VERB
fuelectenerg-3144	874	73	to	to	ADP
fuelectenerg-3144	874	74	the	the	DET
fuelectenerg-3144	874	75	oracle	oracle	NOUN
fuelectenerg-3144	874	76	.	.	PUNCT
fuelectenerg-3144	875	1	23	23	NUM
fuelectenerg-3144	875	2	190	190	NUM
fuelectenerg-3144	875	3	e.	e.	PROPN
fuelectenerg-3144	875	4	tsai	tsai	PROPN
fuelectenerg-3144	875	5	,	,	PUNCT
fuelectenerg-3144	875	6	m.	m.	PROPN
fuelectenerg-3144	875	7	perkowski	perkowski	PROPN
fuelectenerg-3144	875	8	a	a	DET
fuelectenerg-3144	875	9	quantum	quantum	ADJ
fuelectenerg-3144	875	10	algorithm	algorithm	NOUN
fuelectenerg-3144	875	11	for	for	ADP
fuelectenerg-3144	875	12	automata	automata	NOUN
fuelectenerg-3144	875	13	encoding	encode	VERB
fuelectenerg-3144	875	14	191	191	NUM
fuelectenerg-3144	875	15	5.2	5.2	NUM
fuelectenerg-3144	875	16	quantum	quantum	NOUN
fuelectenerg-3144	875	17	circuit	circuit	NOUN
fuelectenerg-3144	875	18	to	to	PART
fuelectenerg-3144	875	19	detect	detect	VERB
fuelectenerg-3144	875	20	dependencies	dependency	NOUN
fuelectenerg-3144	875	21	we	we	PRON
fuelectenerg-3144	875	22	next	next	ADV
fuelectenerg-3144	875	23	demonstrate	demonstrate	VERB
fuelectenerg-3144	875	24	a	a	DET
fuelectenerg-3144	875	25	quantum	quantum	NOUN
fuelectenerg-3144	875	26	circuit	circuit	NOUN
fuelectenerg-3144	875	27	design	design	NOUN
fuelectenerg-3144	875	28	that	that	PRON
fuelectenerg-3144	875	29	uses	use	VERB
fuelectenerg-3144	875	30	the	the	DET
fuelectenerg-3144	875	31	procedure	procedure	NOUN
fuelectenerg-3144	875	32	from	from	ADP
fuelectenerg-3144	875	33	section	section	NOUN
fuelectenerg-3144	875	34	4.1	4.1	NUM
fuelectenerg-3144	875	35	to	to	PART
fuelectenerg-3144	875	36	determine	determine	VERB
fuelectenerg-3144	875	37	whether	whether	SCONJ
fuelectenerg-3144	875	38	the	the	DET
fuelectenerg-3144	875	39	next	next	ADJ
fuelectenerg-3144	875	40	state	state	NOUN
fuelectenerg-3144	875	41	of	of	ADP
fuelectenerg-3144	875	42	a	a	DET
fuelectenerg-3144	875	43	single	single	ADJ
fuelectenerg-3144	875	44	flip	flip	NOUN
fuelectenerg-3144	875	45	-	-	PUNCT
fuelectenerg-3144	875	46	flop	flop	NOUN
fuelectenerg-3144	875	47	(	(	PUNCT
fuelectenerg-3144	875	48	i.e.	i.e.	X
fuelectenerg-3144	875	49	,	,	PUNCT
fuelectenerg-3144	875	50	one	one	NUM
fuelectenerg-3144	875	51	of	of	ADP
fuelectenerg-3144	875	52	q+	q+	ADP
fuelectenerg-3144	875	53	1	1	NUM
fuelectenerg-3144	875	54	through	through	ADP
fuelectenerg-3144	875	55	q+	q+	ADP
fuelectenerg-3144	875	56	n	n	CCONJ
fuelectenerg-3144	875	57	)	)	PUNCT
fuelectenerg-3144	875	58	depends	depend	VERB
fuelectenerg-3144	875	59	on	on	ADP
fuelectenerg-3144	875	60	the	the	DET
fuelectenerg-3144	875	61	current	current	ADJ
fuelectenerg-3144	875	62	state	state	NOUN
fuelectenerg-3144	875	63	of	of	ADP
fuelectenerg-3144	875	64	another	another	DET
fuelectenerg-3144	875	65	flip	flip	NOUN
fuelectenerg-3144	875	66	-	-	PUNCT
fuelectenerg-3144	875	67	flop	flop	NOUN
fuelectenerg-3144	875	68	(	(	PUNCT
fuelectenerg-3144	875	69	i.e.	i.e.	X
fuelectenerg-3144	875	70	,	,	PUNCT
fuelectenerg-3144	875	71	one	one	NUM
fuelectenerg-3144	875	72	of	of	ADP
fuelectenerg-3144	875	73	q1	q1	PROPN
fuelectenerg-3144	875	74	through	through	ADP
fuelectenerg-3144	875	75	qn	qn	NOUN
fuelectenerg-3144	875	76	)	)	PUNCT
fuelectenerg-3144	875	77	or	or	CCONJ
fuelectenerg-3144	875	78	the	the	DET
fuelectenerg-3144	875	79	current	current	ADJ
fuelectenerg-3144	875	80	value	value	NOUN
fuelectenerg-3144	875	81	of	of	ADP
fuelectenerg-3144	875	82	a	a	DET
fuelectenerg-3144	875	83	single	single	ADJ
fuelectenerg-3144	875	84	input	input	NOUN
fuelectenerg-3144	875	85	bit	bit	NOUN
fuelectenerg-3144	875	86	(	(	PUNCT
fuelectenerg-3144	875	87	i.e.	i.e.	X
fuelectenerg-3144	875	88	,	,	PUNCT
fuelectenerg-3144	875	89	one	one	NUM
fuelectenerg-3144	875	90	of	of	ADP
fuelectenerg-3144	875	91	x1	x1	PROPN
fuelectenerg-3144	875	92	through	through	ADP
fuelectenerg-3144	875	93	xm	xm	PROPN
fuelectenerg-3144	875	94	)	)	PUNCT
fuelectenerg-3144	875	95	.	.	PUNCT
fuelectenerg-3144	876	1	recall	recall	VERB
fuelectenerg-3144	876	2	that	that	SCONJ
fuelectenerg-3144	876	3	this	this	DET
fuelectenerg-3144	876	4	procedure	procedure	NOUN
fuelectenerg-3144	876	5	involves	involve	VERB
fuelectenerg-3144	876	6	checking	check	VERB
fuelectenerg-3144	876	7	the	the	DET
fuelectenerg-3144	876	8	conditions	condition	NOUN
fuelectenerg-3144	876	9	given	give	VERB
fuelectenerg-3144	876	10	by	by	ADP
fuelectenerg-3144	876	11	eq	eq	PROPN
fuelectenerg-3144	876	12	.	.	PROPN
fuelectenerg-3144	876	13	1	1	NUM
fuelectenerg-3144	876	14	and	and	CCONJ
fuelectenerg-3144	876	15	eq	eq	NOUN
fuelectenerg-3144	876	16	.	.	PROPN
fuelectenerg-3144	876	17	2	2	NUM
fuelectenerg-3144	876	18	for	for	ADP
fuelectenerg-3144	876	19	each	each	DET
fuelectenerg-3144	876	20	pair	pair	NOUN
fuelectenerg-3144	876	21	of	of	ADP
fuelectenerg-3144	876	22	states	state	NOUN
fuelectenerg-3144	876	23	or	or	CCONJ
fuelectenerg-3144	876	24	input	input	NOUN
fuelectenerg-3144	876	25	values	value	NOUN
fuelectenerg-3144	876	26	,	,	PUNCT
fuelectenerg-3144	876	27	respectively	respectively	ADV
fuelectenerg-3144	876	28	.	.	PUNCT
fuelectenerg-3144	877	1	in	in	ADP
fuelectenerg-3144	877	2	turn	turn	NOUN
fuelectenerg-3144	877	3	,	,	PUNCT
fuelectenerg-3144	877	4	eq	eq	NOUN
fuelectenerg-3144	877	5	.	.	PROPN
fuelectenerg-3144	877	6	1	1	NUM
fuelectenerg-3144	877	7	and	and	CCONJ
fuelectenerg-3144	877	8	eq	eq	NOUN
fuelectenerg-3144	877	9	.	.	NOUN
fuelectenerg-3144	877	10	2	2	NUM
fuelectenerg-3144	877	11	involve	involve	VERB
fuelectenerg-3144	877	12	checking	check	VERB
fuelectenerg-3144	877	13	the	the	DET
fuelectenerg-3144	877	14	conditions	condition	NOUN
fuelectenerg-3144	877	15	dj(s	dj(s	NOUN
fuelectenerg-3144	877	16	,	,	PUNCT
fuelectenerg-3144	877	17	s	s	NOUN
fuelectenerg-3144	877	18	′	′	NOUN
fuelectenerg-3144	877	19	)	)	PUNCT
fuelectenerg-3144	877	20	,	,	PUNCT
fuelectenerg-3144	877	21	ai(s	ai(s	NUM
fuelectenerg-3144	877	22	,	,	PUNCT
fuelectenerg-3144	877	23	s	s	NOUN
fuelectenerg-3144	877	24	′	′	NOUN
fuelectenerg-3144	877	25	)	)	PUNCT
fuelectenerg-3144	877	26	,	,	PUNCT
fuelectenerg-3144	877	27	and	and	CCONJ
fuelectenerg-3144	877	28	dj(i	dj(i	NOUN
fuelectenerg-3144	877	29	,	,	PUNCT
fuelectenerg-3144	877	30	i	i	PRON
fuelectenerg-3144	877	31	′	′	VERB
fuelectenerg-3144	877	32	)	)	PUNCT
fuelectenerg-3144	877	33	for	for	ADP
fuelectenerg-3144	877	34	pairs	pair	NOUN
fuelectenerg-3144	877	35	of	of	ADP
fuelectenerg-3144	877	36	states	state	NOUN
fuelectenerg-3144	877	37	or	or	CCONJ
fuelectenerg-3144	877	38	input	input	NOUN
fuelectenerg-3144	877	39	values	value	NOUN
fuelectenerg-3144	877	40	,	,	PUNCT
fuelectenerg-3144	877	41	where	where	SCONJ
fuelectenerg-3144	877	42	dj	dj	NOUN
fuelectenerg-3144	877	43	and	and	CCONJ
fuelectenerg-3144	877	44	ai	ai	NOUN
fuelectenerg-3144	877	45	are	be	AUX
fuelectenerg-3144	877	46	as	as	ADV
fuelectenerg-3144	877	47	defined	define	VERB
fuelectenerg-3144	877	48	in	in	ADP
fuelectenerg-3144	877	49	section	section	NOUN
fuelectenerg-3144	877	50	4.1	4.1	NUM
fuelectenerg-3144	877	51	.	.	PUNCT
fuelectenerg-3144	878	1	using	use	VERB
fuelectenerg-3144	878	2	the	the	DET
fuelectenerg-3144	878	3	binary	binary	ADJ
fuelectenerg-3144	878	4	representation	representation	NOUN
fuelectenerg-3144	878	5	described	describe	VERB
fuelectenerg-3144	878	6	in	in	ADP
fuelectenerg-3144	878	7	section	section	NOUN
fuelectenerg-3144	878	8	5.1	5.1	NUM
fuelectenerg-3144	878	9	,	,	PUNCT
fuelectenerg-3144	878	10	one	one	PRON
fuelectenerg-3144	878	11	can	can	AUX
fuelectenerg-3144	878	12	easily	easily	ADV
fuelectenerg-3144	878	13	construct	construct	VERB
fuelectenerg-3144	878	14	quantum	quantum	ADJ
fuelectenerg-3144	878	15	circuits	circuit	NOUN
fuelectenerg-3144	878	16	to	to	PART
fuelectenerg-3144	878	17	check	check	VERB
fuelectenerg-3144	878	18	dj(s	dj(s	NOUN
fuelectenerg-3144	878	19	,	,	PUNCT
fuelectenerg-3144	878	20	s	s	NOUN
fuelectenerg-3144	878	21	′	′	NOUN
fuelectenerg-3144	878	22	)	)	PUNCT
fuelectenerg-3144	878	23	,	,	PUNCT
fuelectenerg-3144	878	24	ai(s	ai(s	NUM
fuelectenerg-3144	878	25	,	,	PUNCT
fuelectenerg-3144	878	26	s	s	NOUN
fuelectenerg-3144	878	27	′	′	NOUN
fuelectenerg-3144	878	28	)	)	PUNCT
fuelectenerg-3144	878	29	,	,	PUNCT
fuelectenerg-3144	878	30	and	and	CCONJ
fuelectenerg-3144	878	31	dj(i	dj(i	NOUN
fuelectenerg-3144	878	32	,	,	PUNCT
fuelectenerg-3144	878	33	i	i	PRON
fuelectenerg-3144	878	34	′	′	VERB
fuelectenerg-3144	878	35	)	)	PUNCT
fuelectenerg-3144	878	36	for	for	ADP
fuelectenerg-3144	878	37	any	any	DET
fuelectenerg-3144	878	38	pair	pair	NOUN
fuelectenerg-3144	878	39	of	of	ADP
fuelectenerg-3144	878	40	states	state	NOUN
fuelectenerg-3144	878	41	or	or	CCONJ
fuelectenerg-3144	878	42	inputs	input	NOUN
fuelectenerg-3144	878	43	.	.	PUNCT
fuelectenerg-3144	879	1	for	for	ADP
fuelectenerg-3144	879	2	example	example	NOUN
fuelectenerg-3144	879	3	,	,	PUNCT
fuelectenerg-3144	879	4	figure	figure	NOUN
fuelectenerg-3144	879	5	11(a	11(a	NUM
fuelectenerg-3144	879	6	)	)	PUNCT
fuelectenerg-3144	879	7	shows	show	VERB
fuelectenerg-3144	879	8	a	a	DET
fuelectenerg-3144	879	9	quantum	quantum	ADJ
fuelectenerg-3144	879	10	circuit	circuit	NOUN
fuelectenerg-3144	879	11	that	that	PRON
fuelectenerg-3144	879	12	evaluates	evaluate	VERB
fuelectenerg-3144	879	13	d1(s	d1(	NOUN
fuelectenerg-3144	879	14	,	,	PUNCT
fuelectenerg-3144	879	15	s	s	NOUN
fuelectenerg-3144	879	16	′	′	NOUN
fuelectenerg-3144	879	17	)	)	PUNCT
fuelectenerg-3144	879	18	for	for	ADP
fuelectenerg-3144	879	19	any	any	DET
fuelectenerg-3144	879	20	two	two	NUM
fuelectenerg-3144	879	21	distinct	distinct	ADJ
fuelectenerg-3144	879	22	states	state	NOUN
fuelectenerg-3144	879	23	s	s	PART
fuelectenerg-3144	879	24	and	and	CCONJ
fuelectenerg-3144	879	25	s′.7	s′.7	VERB
fuelectenerg-3144	879	26	this	this	DET
fuelectenerg-3144	879	27	circuit	circuit	NOUN
fuelectenerg-3144	879	28	operates	operate	VERB
fuelectenerg-3144	879	29	on	on	ADP
fuelectenerg-3144	879	30	just	just	ADV
fuelectenerg-3144	879	31	a	a	DET
fuelectenerg-3144	879	32	subset	subset	NOUN
fuelectenerg-3144	879	33	of	of	ADP
fuelectenerg-3144	879	34	the	the	DET
fuelectenerg-3144	879	35	complete	complete	ADJ
fuelectenerg-3144	879	36	binary	binary	ADJ
fuelectenerg-3144	879	37	representation	representation	NOUN
fuelectenerg-3144	879	38	of	of	ADP
fuelectenerg-3144	879	39	an	an	DET
fuelectenerg-3144	879	40	encoding	encoding	NOUN
fuelectenerg-3144	879	41	;	;	PUNCT
fuelectenerg-3144	879	42	specifically	specifically	ADV
fuelectenerg-3144	879	43	,	,	PUNCT
fuelectenerg-3144	879	44	it	it	PRON
fuelectenerg-3144	879	45	uses	use	VERB
fuelectenerg-3144	879	46	the	the	DET
fuelectenerg-3144	879	47	qubits	qubit	NOUN
fuelectenerg-3144	879	48	carrying	carry	VERB
fuelectenerg-3144	879	49	information	information	NOUN
fuelectenerg-3144	879	50	about	about	ADP
fuelectenerg-3144	879	51	the	the	DET
fuelectenerg-3144	879	52	encoded	encode	VERB
fuelectenerg-3144	879	53	values	value	NOUN
fuelectenerg-3144	879	54	of	of	ADP
fuelectenerg-3144	879	55	s	s	PRON
fuelectenerg-3144	879	56	and	and	CCONJ
fuelectenerg-3144	879	57	s′.	s′.	PRON
fuelectenerg-3144	879	58	it	it	PRON
fuelectenerg-3144	879	59	uses	use	VERB
fuelectenerg-3144	879	60	feynman	feynman	PROPN
fuelectenerg-3144	879	61	(	(	PUNCT
fuelectenerg-3144	879	62	a.k.a	a.k.a	PROPN
fuelectenerg-3144	879	63	.	.	PROPN
fuelectenerg-3144	879	64	controlled	control	VERB
fuelectenerg-3144	879	65	-	-	PUNCT
fuelectenerg-3144	879	66	not	not	PART
fuelectenerg-3144	879	67	)	)	PUNCT
fuelectenerg-3144	879	68	gates	gate	NOUN
fuelectenerg-3144	879	69	to	to	PART
fuelectenerg-3144	879	70	perform	perform	VERB
fuelectenerg-3144	879	71	comparisons	comparison	NOUN
fuelectenerg-3144	879	72	and	and	CCONJ
fuelectenerg-3144	879	73	a	a	DET
fuelectenerg-3144	879	74	toffoli	toffoli	NOUN
fuelectenerg-3144	879	75	gate	gate	NOUN
fuelectenerg-3144	879	76	to	to	PART
fuelectenerg-3144	879	77	evaluate	evaluate	VERB
fuelectenerg-3144	879	78	the	the	DET
fuelectenerg-3144	879	79	logical	logical	ADJ
fuelectenerg-3144	879	80	and	and	CCONJ
fuelectenerg-3144	879	81	of	of	ADP
fuelectenerg-3144	879	82	two	two	NUM
fuelectenerg-3144	879	83	comparison	comparison	NOUN
fuelectenerg-3144	879	84	results	result	NOUN
fuelectenerg-3144	879	85	.	.	PUNCT
fuelectenerg-3144	880	1	the	the	DET
fuelectenerg-3144	880	2	final	final	ADJ
fuelectenerg-3144	880	3	output	output	NOUN
fuelectenerg-3144	880	4	of	of	ADP
fuelectenerg-3144	880	5	the	the	DET
fuelectenerg-3144	880	6	circuit	circuit	NOUN
fuelectenerg-3144	880	7	is	be	AUX
fuelectenerg-3144	880	8	given	give	VERB
fuelectenerg-3144	880	9	by	by	ADP
fuelectenerg-3144	880	10	the	the	DET
fuelectenerg-3144	880	11	logical	logical	ADJ
fuelectenerg-3144	880	12	expression	expression	NOUN
fuelectenerg-3144	880	13	¬(q2(s	¬(q2(s	NOUN
fuelectenerg-3144	880	14	)	)	PUNCT
fuelectenerg-3144	880	15	⊕	⊕	PROPN
fuelectenerg-3144	880	16	q2(s	q2(s	PROPN
fuelectenerg-3144	880	17	′	′	NUM
fuelectenerg-3144	880	18	)	)	PUNCT
fuelectenerg-3144	880	19	)	)	PUNCT
fuelectenerg-3144	881	1	∧	∧	PROPN
fuelectenerg-3144	881	2	¬(q3(s	¬(q3(	NOUN
fuelectenerg-3144	881	3	)	)	PUNCT
fuelectenerg-3144	881	4	⊕	⊕	PROPN
fuelectenerg-3144	881	5	q3(s	q3(s	PROPN
fuelectenerg-3144	881	6	′	′	NUM
fuelectenerg-3144	881	7	)	)	PUNCT
fuelectenerg-3144	881	8	)	)	PUNCT
fuelectenerg-3144	881	9	,	,	PUNCT
fuelectenerg-3144	881	10	which	which	PRON
fuelectenerg-3144	881	11	evaluates	evaluate	VERB
fuelectenerg-3144	881	12	to	to	ADP
fuelectenerg-3144	881	13	1	1	NUM
fuelectenerg-3144	881	14	if	if	SCONJ
fuelectenerg-3144	881	15	and	and	CCONJ
fuelectenerg-3144	881	16	only	only	ADV
fuelectenerg-3144	881	17	if	if	SCONJ
fuelectenerg-3144	881	18	the	the	DET
fuelectenerg-3144	881	19	encodings	encoding	NOUN
fuelectenerg-3144	881	20	of	of	ADP
fuelectenerg-3144	881	21	s	s	PRON
fuelectenerg-3144	881	22	and	and	CCONJ
fuelectenerg-3144	881	23	s′	s′	NOUN
fuelectenerg-3144	881	24	agree	agree	VERB
fuelectenerg-3144	881	25	in	in	ADP
fuelectenerg-3144	881	26	all	all	DET
fuelectenerg-3144	881	27	state	state	NOUN
fuelectenerg-3144	881	28	variables	variable	NOUN
fuelectenerg-3144	881	29	except	except	SCONJ
fuelectenerg-3144	881	30	q1	q1	PROPN
fuelectenerg-3144	881	31	,	,	PUNCT
fuelectenerg-3144	881	32	exactly	exactly	ADV
fuelectenerg-3144	881	33	the	the	DET
fuelectenerg-3144	881	34	definition	definition	NOUN
fuelectenerg-3144	881	35	of	of	ADP
fuelectenerg-3144	881	36	d1(s	d1(s	PROPN
fuelectenerg-3144	881	37	,	,	PUNCT
fuelectenerg-3144	881	38	s	s	NOUN
fuelectenerg-3144	881	39	′	′	NOUN
fuelectenerg-3144	881	40	)	)	PUNCT
fuelectenerg-3144	881	41	.	.	PUNCT
fuelectenerg-3144	882	1	although	although	SCONJ
fuelectenerg-3144	882	2	we	we	PRON
fuelectenerg-3144	882	3	assumed	assume	VERB
fuelectenerg-3144	882	4	for	for	ADP
fuelectenerg-3144	882	5	the	the	DET
fuelectenerg-3144	882	6	purpose	purpose	NOUN
fuelectenerg-3144	882	7	of	of	ADP
fuelectenerg-3144	882	8	this	this	DET
fuelectenerg-3144	882	9	particular	particular	ADJ
fuelectenerg-3144	882	10	illustration	illustration	NOUN
fuelectenerg-3144	882	11	that	that	PRON
fuelectenerg-3144	882	12	each	each	DET
fuelectenerg-3144	882	13	state	state	NOUN
fuelectenerg-3144	882	14	is	be	AUX
fuelectenerg-3144	882	15	encoded	encode	VERB
fuelectenerg-3144	882	16	by	by	ADP
fuelectenerg-3144	882	17	three	three	NUM
fuelectenerg-3144	882	18	bits	bit	NOUN
fuelectenerg-3144	882	19	,	,	PUNCT
fuelectenerg-3144	882	20	the	the	DET
fuelectenerg-3144	882	21	general	general	ADJ
fuelectenerg-3144	882	22	circuit	circuit	NOUN
fuelectenerg-3144	882	23	structure	structure	NOUN
fuelectenerg-3144	882	24	applies	apply	VERB
fuelectenerg-3144	882	25	to	to	ADP
fuelectenerg-3144	882	26	encodings	encoding	NOUN
fuelectenerg-3144	882	27	of	of	ADP
fuelectenerg-3144	882	28	any	any	DET
fuelectenerg-3144	882	29	size	size	NOUN
fuelectenerg-3144	882	30	.	.	PUNCT
fuelectenerg-3144	883	1	likewise	likewise	ADV
fuelectenerg-3144	883	2	,	,	PUNCT
fuelectenerg-3144	883	3	although	although	SCONJ
fuelectenerg-3144	883	4	this	this	DET
fuelectenerg-3144	883	5	particular	particular	ADJ
fuelectenerg-3144	883	6	circuit	circuit	NOUN
fuelectenerg-3144	883	7	evaluates	evaluate	VERB
fuelectenerg-3144	883	8	d1(s	d1(	NOUN
fuelectenerg-3144	883	9	,	,	PUNCT
fuelectenerg-3144	883	10	s	s	NOUN
fuelectenerg-3144	883	11	′	′	NOUN
fuelectenerg-3144	883	12	)	)	PUNCT
fuelectenerg-3144	883	13	,	,	PUNCT
fuelectenerg-3144	883	14	similar	similar	ADJ
fuelectenerg-3144	883	15	circuits	circuit	NOUN
fuelectenerg-3144	883	16	suffice	suffice	VERB
fuelectenerg-3144	883	17	to	to	PART
fuelectenerg-3144	883	18	evaluate	evaluate	VERB
fuelectenerg-3144	883	19	dj(s	dj(	NOUN
fuelectenerg-3144	883	20	,	,	PUNCT
fuelectenerg-3144	883	21	s	s	NOUN
fuelectenerg-3144	883	22	′	′	NOUN
fuelectenerg-3144	883	23	)	)	PUNCT
fuelectenerg-3144	883	24	for	for	ADP
fuelectenerg-3144	883	25	any	any	DET
fuelectenerg-3144	883	26	j	j	PROPN
fuelectenerg-3144	883	27	,	,	PUNCT
fuelectenerg-3144	883	28	as	as	ADV
fuelectenerg-3144	883	29	well	well	ADV
fuelectenerg-3144	883	30	as	as	ADP
fuelectenerg-3144	883	31	dj(i	dj(i	NOUN
fuelectenerg-3144	883	32	,	,	PUNCT
fuelectenerg-3144	883	33	i	i	PRON
fuelectenerg-3144	883	34	′	′	VERB
fuelectenerg-3144	883	35	)	)	PUNCT
fuelectenerg-3144	883	36	for	for	ADP
fuelectenerg-3144	883	37	two	two	NUM
fuelectenerg-3144	883	38	input	input	NOUN
fuelectenerg-3144	883	39	values	value	NOUN
fuelectenerg-3144	883	40	i	i	PRON
fuelectenerg-3144	883	41	and	and	CCONJ
fuelectenerg-3144	883	42	i′	i′	NOUN
fuelectenerg-3144	883	43	instead	instead	ADV
fuelectenerg-3144	883	44	of	of	ADP
fuelectenerg-3144	883	45	two	two	NUM
fuelectenerg-3144	883	46	states	state	NOUN
fuelectenerg-3144	883	47	.	.	PUNCT
fuelectenerg-3144	884	1	in	in	ADP
fuelectenerg-3144	884	2	a	a	DET
fuelectenerg-3144	884	3	similar	similar	ADJ
fuelectenerg-3144	884	4	vein	vein	NOUN
fuelectenerg-3144	884	5	,	,	PUNCT
fuelectenerg-3144	884	6	figure	figure	NOUN
fuelectenerg-3144	884	7	11(b	11(b	NUM
fuelectenerg-3144	884	8	)	)	PUNCT
fuelectenerg-3144	884	9	shows	show	VERB
fuelectenerg-3144	884	10	a	a	DET
fuelectenerg-3144	884	11	quantum	quantum	ADJ
fuelectenerg-3144	884	12	circuit	circuit	NOUN
fuelectenerg-3144	884	13	that	that	PRON
fuelectenerg-3144	884	14	evaluates	evaluate	VERB
fuelectenerg-3144	884	15	a1(s	a1(s	ADP
fuelectenerg-3144	884	16	,	,	PUNCT
fuelectenerg-3144	884	17	s	s	NOUN
fuelectenerg-3144	884	18	′	′	NOUN
fuelectenerg-3144	884	19	)	)	PUNCT
fuelectenerg-3144	884	20	.	.	PUNCT
fuelectenerg-3144	885	1	this	this	DET
fuelectenerg-3144	885	2	circuit	circuit	NOUN
fuelectenerg-3144	885	3	is	be	AUX
fuelectenerg-3144	885	4	extremely	extremely	ADV
fuelectenerg-3144	885	5	simple	simple	ADJ
fuelectenerg-3144	885	6	,	,	PUNCT
fuelectenerg-3144	885	7	as	as	SCONJ
fuelectenerg-3144	885	8	it	it	PRON
fuelectenerg-3144	885	9	simply	simply	ADV
fuelectenerg-3144	885	10	evaluates	evaluate	VERB
fuelectenerg-3144	885	11	¬(q1(s	¬(q1(s	ADJ
fuelectenerg-3144	885	12	)	)	PUNCT
fuelectenerg-3144	885	13	⊕	⊕	PROPN
fuelectenerg-3144	885	14	q1(s	q1(s	CCONJ
fuelectenerg-3144	885	15	′	′	NUM
fuelectenerg-3144	885	16	)	)	PUNCT
fuelectenerg-3144	885	17	)	)	PUNCT
fuelectenerg-3144	885	18	,	,	PUNCT
fuelectenerg-3144	885	19	which	which	PRON
fuelectenerg-3144	885	20	amounts	amount	VERB
fuelectenerg-3144	885	21	to	to	ADP
fuelectenerg-3144	885	22	just	just	ADV
fuelectenerg-3144	885	23	a	a	DET
fuelectenerg-3144	885	24	one	one	NUM
fuelectenerg-3144	885	25	-	-	PUNCT
fuelectenerg-3144	885	26	bit	bit	NOUN
fuelectenerg-3144	885	27	comparison	comparison	NOUN
fuelectenerg-3144	885	28	.	.	PUNCT
fuelectenerg-3144	886	1	as	as	ADP
fuelectenerg-3144	886	2	before	before	ADV
fuelectenerg-3144	886	3	,	,	PUNCT
fuelectenerg-3144	886	4	the	the	DET
fuelectenerg-3144	886	5	same	same	ADJ
fuelectenerg-3144	886	6	circuit	circuit	NOUN
fuelectenerg-3144	886	7	structure	structure	NOUN
fuelectenerg-3144	886	8	is	be	AUX
fuelectenerg-3144	886	9	usable	usable	ADJ
fuelectenerg-3144	886	10	for	for	ADP
fuelectenerg-3144	886	11	encodings	encoding	NOUN
fuelectenerg-3144	886	12	of	of	ADP
fuelectenerg-3144	886	13	any	any	DET
fuelectenerg-3144	886	14	size	size	NOUN
fuelectenerg-3144	886	15	,	,	PUNCT
fuelectenerg-3144	886	16	not	not	PART
fuelectenerg-3144	886	17	just	just	ADV
fuelectenerg-3144	886	18	three	three	NUM
fuelectenerg-3144	886	19	bits	bit	NOUN
fuelectenerg-3144	886	20	.	.	PUNCT
fuelectenerg-3144	887	1	next	next	ADV
fuelectenerg-3144	887	2	,	,	PUNCT
fuelectenerg-3144	887	3	to	to	PART
fuelectenerg-3144	887	4	check	check	VERB
fuelectenerg-3144	887	5	the	the	DET
fuelectenerg-3144	887	6	conditions	condition	NOUN
fuelectenerg-3144	887	7	specified	specify	VERB
fuelectenerg-3144	887	8	by	by	ADP
fuelectenerg-3144	887	9	eq	eq	PROPN
fuelectenerg-3144	887	10	.	.	PROPN
fuelectenerg-3144	887	11	1	1	NUM
fuelectenerg-3144	887	12	and	and	CCONJ
fuelectenerg-3144	887	13	eq	eq	NOUN
fuelectenerg-3144	887	14	.	.	PROPN
fuelectenerg-3144	887	15	2	2	NUM
fuelectenerg-3144	887	16	,	,	PUNCT
fuelectenerg-3144	887	17	our	our	PRON
fuelectenerg-3144	887	18	quantum	quantum	NOUN
fuelectenerg-3144	887	19	circuit	circuit	NOUN
fuelectenerg-3144	887	20	must	must	AUX
fuelectenerg-3144	887	21	be	be	AUX
fuelectenerg-3144	887	22	able	able	ADJ
fuelectenerg-3144	887	23	to	to	PART
fuelectenerg-3144	887	24	evaluate	evaluate	VERB
fuelectenerg-3144	887	25	a	a	DET
fuelectenerg-3144	887	26	logical	logical	ADJ
fuelectenerg-3144	887	27	implication	implication	NOUN
fuelectenerg-3144	887	28	.	.	PUNCT
fuelectenerg-3144	888	1	recalling	recall	VERB
fuelectenerg-3144	888	2	that	that	SCONJ
fuelectenerg-3144	888	3	the	the	DET
fuelectenerg-3144	888	4	expression	expression	NOUN
fuelectenerg-3144	888	5	a	a	DET
fuelectenerg-3144	888	6	⇒	⇒	NOUN
fuelectenerg-3144	888	7	b	b	NOUN
fuelectenerg-3144	888	8	is	be	AUX
fuelectenerg-3144	888	9	defined	define	VERB
fuelectenerg-3144	888	10	as	as	ADP
fuelectenerg-3144	888	11	¬a∨	¬a∨	ADJ
fuelectenerg-3144	888	12	b	b	NOUN
fuelectenerg-3144	888	13	,	,	PUNCT
fuelectenerg-3144	888	14	we	we	PRON
fuelectenerg-3144	888	15	observe	observe	VERB
fuelectenerg-3144	888	16	that	that	SCONJ
fuelectenerg-3144	888	17	a	a	DET
fuelectenerg-3144	888	18	single	single	ADJ
fuelectenerg-3144	888	19	toffoli	toffoli	NOUN
fuelectenerg-3144	888	20	gate	gate	NOUN
fuelectenerg-3144	888	21	suffices	suffice	VERB
fuelectenerg-3144	888	22	to	to	PART
fuelectenerg-3144	888	23	evaluate	evaluate	VERB
fuelectenerg-3144	888	24	a	a	DET
fuelectenerg-3144	888	25	logical	logical	ADJ
fuelectenerg-3144	888	26	implication	implication	NOUN
fuelectenerg-3144	888	27	,	,	PUNCT
fuelectenerg-3144	888	28	as	as	SCONJ
fuelectenerg-3144	888	29	shown	show	VERB
fuelectenerg-3144	888	30	in	in	ADP
fuelectenerg-3144	888	31	figure	figure	NOUN
fuelectenerg-3144	888	32	12	12	NUM
fuelectenerg-3144	888	33	.	.	PUNCT
fuelectenerg-3144	889	1	finally	finally	ADV
fuelectenerg-3144	889	2	,	,	PUNCT
fuelectenerg-3144	889	3	we	we	PRON
fuelectenerg-3144	889	4	are	be	AUX
fuelectenerg-3144	889	5	ready	ready	ADJ
fuelectenerg-3144	889	6	to	to	PART
fuelectenerg-3144	889	7	turn	turn	VERB
fuelectenerg-3144	889	8	to	to	ADP
fuelectenerg-3144	889	9	the	the	DET
fuelectenerg-3144	889	10	design	design	NOUN
fuelectenerg-3144	889	11	of	of	ADP
fuelectenerg-3144	889	12	the	the	DET
fuelectenerg-3144	889	13	full	full	ADJ
fuelectenerg-3144	889	14	quantum	quantum	ADJ
fuelectenerg-3144	889	15	circuit	circuit	NOUN
fuelectenerg-3144	889	16	for	for	ADP
fuelectenerg-3144	889	17	checking	check	VERB
fuelectenerg-3144	889	18	eq	eq	ADP
fuelectenerg-3144	889	19	.	.	PROPN
fuelectenerg-3144	889	20	1	1	NUM
fuelectenerg-3144	889	21	or	or	CCONJ
fuelectenerg-3144	889	22	eq	eq	NOUN
fuelectenerg-3144	889	23	.	.	PROPN
fuelectenerg-3144	890	1	2	2	X
fuelectenerg-3144	890	2	.	.	X
fuelectenerg-3144	890	3	this	this	DET
fuelectenerg-3144	890	4	task	task	NOUN
fuelectenerg-3144	890	5	is	be	AUX
fuelectenerg-3144	890	6	complicated	complicate	VERB
fuelectenerg-3144	890	7	by	by	ADP
fuelectenerg-3144	890	8	the	the	DET
fuelectenerg-3144	890	9	fact	fact	NOUN
fuelectenerg-3144	890	10	that	that	SCONJ
fuelectenerg-3144	890	11	checking	check	VERB
fuelectenerg-3144	890	12	eq	eq	ADP
fuelectenerg-3144	890	13	.	.	PROPN
fuelectenerg-3144	890	14	1	1	NUM
fuelectenerg-3144	890	15	or	or	CCONJ
fuelectenerg-3144	890	16	eq	eq	NOUN
fuelectenerg-3144	890	17	.	.	PROPN
fuelectenerg-3144	890	18	2	2	NUM
fuelectenerg-3144	890	19	involves	involve	VERB
fuelectenerg-3144	890	20	evaluating	evaluate	VERB
fuelectenerg-3144	890	21	ai(s	ai(s	NUM
fuelectenerg-3144	890	22	,	,	PUNCT
fuelectenerg-3144	890	23	s	s	NOUN
fuelectenerg-3144	890	24	′	′	NOUN
fuelectenerg-3144	890	25	)	)	PUNCT
fuelectenerg-3144	890	26	simultaneously	simultaneously	ADV
fuelectenerg-3144	890	27	for	for	ADP
fuelectenerg-3144	890	28	7technically	7technically	NUM
fuelectenerg-3144	890	29	,	,	PUNCT
fuelectenerg-3144	890	30	this	this	DET
fuelectenerg-3144	890	31	circuit	circuit	NOUN
fuelectenerg-3144	890	32	only	only	ADV
fuelectenerg-3144	890	33	works	work	VERB
fuelectenerg-3144	890	34	correctly	correctly	ADV
fuelectenerg-3144	890	35	if	if	SCONJ
fuelectenerg-3144	890	36	the	the	DET
fuelectenerg-3144	890	37	states	state	NOUN
fuelectenerg-3144	890	38	s	s	PART
fuelectenerg-3144	890	39	and	and	CCONJ
fuelectenerg-3144	890	40	s′	s′	ADJ
fuelectenerg-3144	890	41	have	have	VERB
fuelectenerg-3144	890	42	distinct	distinct	ADJ
fuelectenerg-3144	890	43	encodings	encoding	NOUN
fuelectenerg-3144	890	44	,	,	PUNCT
fuelectenerg-3144	890	45	as	as	SCONJ
fuelectenerg-3144	890	46	required	require	VERB
fuelectenerg-3144	890	47	by	by	ADP
fuelectenerg-3144	890	48	the	the	DET
fuelectenerg-3144	890	49	conditions	condition	NOUN
fuelectenerg-3144	890	50	stated	state	VERB
fuelectenerg-3144	890	51	at	at	ADP
fuelectenerg-3144	890	52	the	the	DET
fuelectenerg-3144	890	53	end	end	NOUN
fuelectenerg-3144	890	54	of	of	ADP
fuelectenerg-3144	890	55	section	section	NOUN
fuelectenerg-3144	890	56	2.2	2.2	NUM
fuelectenerg-3144	890	57	.	.	PUNCT
fuelectenerg-3144	891	1	if	if	SCONJ
fuelectenerg-3144	891	2	s	s	PRON
fuelectenerg-3144	891	3	and	and	CCONJ
fuelectenerg-3144	891	4	s′	s′	NOUN
fuelectenerg-3144	891	5	happen	happen	VERB
fuelectenerg-3144	891	6	to	to	PART
fuelectenerg-3144	891	7	have	have	VERB
fuelectenerg-3144	891	8	the	the	DET
fuelectenerg-3144	891	9	same	same	ADJ
fuelectenerg-3144	891	10	encoding	encoding	NOUN
fuelectenerg-3144	891	11	,	,	PUNCT
fuelectenerg-3144	891	12	the	the	DET
fuelectenerg-3144	891	13	circuit	circuit	NOUN
fuelectenerg-3144	891	14	will	will	AUX
fuelectenerg-3144	891	15	erroneously	erroneously	ADV
fuelectenerg-3144	891	16	output	output	VERB
fuelectenerg-3144	891	17	1	1	NUM
fuelectenerg-3144	891	18	.	.	PUNCT
fuelectenerg-3144	892	1	however	however	ADV
fuelectenerg-3144	892	2	,	,	PUNCT
fuelectenerg-3144	892	3	later	later	ADV
fuelectenerg-3144	892	4	on	on	ADV
fuelectenerg-3144	892	5	,	,	PUNCT
fuelectenerg-3144	892	6	in	in	ADP
fuelectenerg-3144	892	7	section	section	NOUN
fuelectenerg-3144	892	8	5.5	5.5	NUM
fuelectenerg-3144	892	9	,	,	PUNCT
fuelectenerg-3144	892	10	we	we	PRON
fuelectenerg-3144	892	11	describe	describe	VERB
fuelectenerg-3144	892	12	a	a	DET
fuelectenerg-3144	892	13	circuit	circuit	NOUN
fuelectenerg-3144	892	14	that	that	PRON
fuelectenerg-3144	892	15	enforces	enforce	VERB
fuelectenerg-3144	892	16	the	the	DET
fuelectenerg-3144	892	17	condition	condition	NOUN
fuelectenerg-3144	892	18	that	that	SCONJ
fuelectenerg-3144	892	19	distinct	distinct	ADJ
fuelectenerg-3144	892	20	states	state	NOUN
fuelectenerg-3144	892	21	have	have	AUX
fuelectenerg-3144	892	22	distinct	distinct	ADJ
fuelectenerg-3144	892	23	encodings	encoding	NOUN
fuelectenerg-3144	892	24	.	.	PUNCT
fuelectenerg-3144	893	1	this	this	DET
fuelectenerg-3144	893	2	circuit	circuit	NOUN
fuelectenerg-3144	893	3	is	be	AUX
fuelectenerg-3144	893	4	incorporated	incorporate	VERB
fuelectenerg-3144	893	5	into	into	ADP
fuelectenerg-3144	893	6	the	the	DET
fuelectenerg-3144	893	7	final	final	ADJ
fuelectenerg-3144	893	8	oracle	oracle	NOUN
fuelectenerg-3144	893	9	,	,	PUNCT
fuelectenerg-3144	893	10	as	as	SCONJ
fuelectenerg-3144	893	11	described	describe	VERB
fuelectenerg-3144	893	12	in	in	ADP
fuelectenerg-3144	893	13	section	section	NOUN
fuelectenerg-3144	893	14	5.6	5.6	NUM
fuelectenerg-3144	893	15	,	,	PUNCT
fuelectenerg-3144	893	16	so	so	SCONJ
fuelectenerg-3144	893	17	that	that	SCONJ
fuelectenerg-3144	893	18	it	it	PRON
fuelectenerg-3144	893	19	forces	force	VERB
fuelectenerg-3144	893	20	the	the	DET
fuelectenerg-3144	893	21	oracle	oracle	NOUN
fuelectenerg-3144	893	22	’s	’s	PART
fuelectenerg-3144	893	23	output	output	NOUN
fuelectenerg-3144	893	24	to	to	ADP
fuelectenerg-3144	893	25	0	0	NUM
fuelectenerg-3144	893	26	whenever	whenever	SCONJ
fuelectenerg-3144	893	27	this	this	DET
fuelectenerg-3144	893	28	condition	condition	NOUN
fuelectenerg-3144	893	29	is	be	AUX
fuelectenerg-3144	893	30	violated	violate	VERB
fuelectenerg-3144	893	31	.	.	PUNCT
fuelectenerg-3144	894	1	the	the	DET
fuelectenerg-3144	894	2	operation	operation	NOUN
fuelectenerg-3144	894	3	of	of	ADP
fuelectenerg-3144	894	4	the	the	DET
fuelectenerg-3144	894	5	circuit	circuit	NOUN
fuelectenerg-3144	894	6	described	describe	VERB
fuelectenerg-3144	894	7	in	in	ADP
fuelectenerg-3144	894	8	the	the	DET
fuelectenerg-3144	894	9	present	present	ADJ
fuelectenerg-3144	894	10	section	section	NOUN
fuelectenerg-3144	894	11	therefore	therefore	ADV
fuelectenerg-3144	894	12	becomes	become	VERB
fuelectenerg-3144	894	13	irrelevant	irrelevant	ADJ
fuelectenerg-3144	894	14	in	in	ADP
fuelectenerg-3144	894	15	such	such	DET
fuelectenerg-3144	894	16	a	a	DET
fuelectenerg-3144	894	17	case	case	NOUN
fuelectenerg-3144	894	18	,	,	PUNCT
fuelectenerg-3144	894	19	since	since	SCONJ
fuelectenerg-3144	894	20	grover	grover	PROPN
fuelectenerg-3144	894	21	’s	’s	PART
fuelectenerg-3144	894	22	algorithm	algorithm	NOUN
fuelectenerg-3144	894	23	will	will	AUX
fuelectenerg-3144	894	24	never	never	ADV
fuelectenerg-3144	894	25	find	find	VERB
fuelectenerg-3144	894	26	such	such	DET
fuelectenerg-3144	894	27	a	a	DET
fuelectenerg-3144	894	28	distinctness	distinctness	NOUN
fuelectenerg-3144	894	29	-	-	PUNCT
fuelectenerg-3144	894	30	violating	violating	NOUN
fuelectenerg-3144	894	31	encoding	encoding	NOUN
fuelectenerg-3144	894	32	as	as	ADP
fuelectenerg-3144	894	33	a	a	DET
fuelectenerg-3144	894	34	solution	solution	NOUN
fuelectenerg-3144	894	35	.	.	PUNCT
fuelectenerg-3144	895	1	from	from	ADP
fuelectenerg-3144	895	2	now	now	ADV
fuelectenerg-3144	895	3	on	on	ADV
fuelectenerg-3144	895	4	,	,	PUNCT
fuelectenerg-3144	895	5	we	we	PRON
fuelectenerg-3144	895	6	therefore	therefore	ADV
fuelectenerg-3144	895	7	proceed	proceed	VERB
fuelectenerg-3144	895	8	with	with	ADP
fuelectenerg-3144	895	9	the	the	DET
fuelectenerg-3144	895	10	implicit	implicit	ADJ
fuelectenerg-3144	895	11	assumption	assumption	NOUN
fuelectenerg-3144	895	12	that	that	SCONJ
fuelectenerg-3144	895	13	distinct	distinct	ADJ
fuelectenerg-3144	895	14	states	state	NOUN
fuelectenerg-3144	895	15	have	have	AUX
fuelectenerg-3144	895	16	distinct	distinct	ADJ
fuelectenerg-3144	895	17	encodings	encoding	NOUN
fuelectenerg-3144	895	18	.	.	PUNCT
fuelectenerg-3144	896	1	the	the	DET
fuelectenerg-3144	896	2	same	same	ADJ
fuelectenerg-3144	896	3	applies	apply	VERB
fuelectenerg-3144	896	4	to	to	ADP
fuelectenerg-3144	896	5	input	input	NOUN
fuelectenerg-3144	896	6	values	value	NOUN
fuelectenerg-3144	896	7	as	as	ADV
fuelectenerg-3144	896	8	well	well	ADV
fuelectenerg-3144	896	9	—	—	PUNCT
fuelectenerg-3144	896	10	the	the	DET
fuelectenerg-3144	896	11	operation	operation	NOUN
fuelectenerg-3144	896	12	of	of	ADP
fuelectenerg-3144	896	13	the	the	DET
fuelectenerg-3144	896	14	circuit	circuit	NOUN
fuelectenerg-3144	896	15	described	describe	VERB
fuelectenerg-3144	896	16	here	here	ADV
fuelectenerg-3144	896	17	is	be	AUX
fuelectenerg-3144	896	18	similarly	similarly	ADV
fuelectenerg-3144	896	19	irrelevant	irrelevant	ADJ
fuelectenerg-3144	896	20	if	if	SCONJ
fuelectenerg-3144	896	21	distinct	distinct	ADJ
fuelectenerg-3144	896	22	input	input	NOUN
fuelectenerg-3144	896	23	values	value	NOUN
fuelectenerg-3144	896	24	do	do	AUX
fuelectenerg-3144	896	25	not	not	PART
fuelectenerg-3144	896	26	have	have	VERB
fuelectenerg-3144	896	27	distinct	distinct	ADJ
fuelectenerg-3144	896	28	encodings	encoding	NOUN
fuelectenerg-3144	896	29	.	.	PUNCT
fuelectenerg-3144	897	1	24	24	NUM
fuelectenerg-3144	897	2	q1(s	q1(s	NUM
fuelectenerg-3144	897	3	′	′	NUM
fuelectenerg-3144	897	4	)	)	PUNCT
fuelectenerg-3144	897	5	q2(s	q2(s	PROPN
fuelectenerg-3144	897	6	′	′	NUM
fuelectenerg-3144	897	7	)	)	PUNCT
fuelectenerg-3144	898	1	q3(s	q3(s	PROPN
fuelectenerg-3144	898	2	′	′	NUM
fuelectenerg-3144	898	3	)	)	PUNCT
fuelectenerg-3144	898	4	q1(s	q1(s	PROPN
fuelectenerg-3144	898	5	)	)	PUNCT
fuelectenerg-3144	898	6	q2(s	q2(s	NOUN
fuelectenerg-3144	898	7	)	)	PUNCT
fuelectenerg-3144	898	8	q3(s	q3(s	PROPN
fuelectenerg-3144	898	9	)	)	PUNCT
fuelectenerg-3144	898	10	|0	|0	NUM
fuelectenerg-3144	898	11	〉	〉	PROPN
fuelectenerg-3144	898	12	encoding	encoding	NOUN
fuelectenerg-3144	898	13	of	of	ADP
fuelectenerg-3144	898	14	s′	s′	ADJ
fuelectenerg-3144	898	15	encoding	encoding	NOUN
fuelectenerg-3144	898	16	of	of	ADP
fuelectenerg-3144	898	17	s	s	PROPN
fuelectenerg-3144	898	18	d1(s	d1(s	PROPN
fuelectenerg-3144	898	19	,	,	PUNCT
fuelectenerg-3144	898	20	s	s	NOUN
fuelectenerg-3144	898	21	′	′	NOUN
fuelectenerg-3144	898	22	)	)	PUNCT
fuelectenerg-3144	898	23	(	(	PUNCT
fuelectenerg-3144	898	24	a	a	X
fuelectenerg-3144	898	25	)	)	PUNCT
fuelectenerg-3144	899	1	q1(s	q1(s	ADP
fuelectenerg-3144	899	2	′	′	NUM
fuelectenerg-3144	899	3	)	)	PUNCT
fuelectenerg-3144	899	4	q2(s	q2(s	PROPN
fuelectenerg-3144	899	5	′	′	NUM
fuelectenerg-3144	899	6	)	)	PUNCT
fuelectenerg-3144	899	7	q3(s	q3(s	PROPN
fuelectenerg-3144	899	8	′	′	NUM
fuelectenerg-3144	899	9	)	)	PUNCT
fuelectenerg-3144	899	10	q1(s	q1(s	PROPN
fuelectenerg-3144	899	11	)	)	PUNCT
fuelectenerg-3144	899	12	q2(s	q2(s	NOUN
fuelectenerg-3144	899	13	)	)	PUNCT
fuelectenerg-3144	899	14	q3(s	q3(s	PROPN
fuelectenerg-3144	899	15	)	)	PUNCT
fuelectenerg-3144	899	16	encoding	encoding	NOUN
fuelectenerg-3144	899	17	of	of	ADP
fuelectenerg-3144	899	18	s′	s′	ADJ
fuelectenerg-3144	899	19	encoding	encoding	NOUN
fuelectenerg-3144	899	20	of	of	ADP
fuelectenerg-3144	899	21	s	s	NOUN
fuelectenerg-3144	899	22	a1(s	a1(s	PROPN
fuelectenerg-3144	899	23	,	,	PUNCT
fuelectenerg-3144	899	24	s	s	NOUN
fuelectenerg-3144	899	25	′	′	NOUN
fuelectenerg-3144	899	26	)	)	PUNCT
fuelectenerg-3144	899	27	(	(	PUNCT
fuelectenerg-3144	899	28	b	b	X
fuelectenerg-3144	899	29	)	)	PUNCT
fuelectenerg-3144	899	30	figure	figure	NOUN
fuelectenerg-3144	899	31	11	11	NUM
fuelectenerg-3144	899	32	:	:	PUNCT
fuelectenerg-3144	899	33	(	(	PUNCT
fuelectenerg-3144	899	34	a	a	X
fuelectenerg-3144	899	35	)	)	PUNCT
fuelectenerg-3144	899	36	quantum	quantum	NOUN
fuelectenerg-3144	899	37	circuit	circuit	NOUN
fuelectenerg-3144	899	38	to	to	PART
fuelectenerg-3144	899	39	check	check	VERB
fuelectenerg-3144	899	40	d1(s	d1(s	PROPN
fuelectenerg-3144	899	41	,	,	PUNCT
fuelectenerg-3144	899	42	s	s	NOUN
fuelectenerg-3144	899	43	′	′	NOUN
fuelectenerg-3144	899	44	)	)	PUNCT
fuelectenerg-3144	899	45	;	;	PUNCT
fuelectenerg-3144	899	46	(	(	PUNCT
fuelectenerg-3144	899	47	b	b	X
fuelectenerg-3144	899	48	)	)	PUNCT
fuelectenerg-3144	899	49	circuit	circuit	NOUN
fuelectenerg-3144	899	50	to	to	PART
fuelectenerg-3144	899	51	check	check	VERB
fuelectenerg-3144	899	52	a1(s	a1(s	ADP
fuelectenerg-3144	899	53	,	,	PUNCT
fuelectenerg-3144	899	54	s	s	NOUN
fuelectenerg-3144	899	55	′	′	NOUN
fuelectenerg-3144	899	56	)	)	PUNCT
fuelectenerg-3144	899	57	.	.	PUNCT
fuelectenerg-3144	900	1	a	a	DET
fuelectenerg-3144	900	2	b	b	X
fuelectenerg-3144	900	3	|1	|1	NOUN
fuelectenerg-3144	900	4	〉	〉	NOUN
fuelectenerg-3144	900	5	a	a	DET
fuelectenerg-3144	900	6	⇒	⇒	NOUN
fuelectenerg-3144	900	7	b	b	NOUN
fuelectenerg-3144	900	8	figure	figure	NOUN
fuelectenerg-3144	900	9	12	12	NUM
fuelectenerg-3144	900	10	:	:	PUNCT
fuelectenerg-3144	900	11	logical	logical	ADJ
fuelectenerg-3144	900	12	implication	implication	NOUN
fuelectenerg-3144	900	13	evaluated	evaluate	VERB
fuelectenerg-3144	900	14	using	use	VERB
fuelectenerg-3144	900	15	a	a	DET
fuelectenerg-3144	900	16	toffoli	toffoli	NOUN
fuelectenerg-3144	900	17	gate	gate	NOUN
fuelectenerg-3144	900	18	.	.	PUNCT
fuelectenerg-3144	901	1	25	25	NUM
fuelectenerg-3144	901	2	192	192	NUM
fuelectenerg-3144	901	3	e.	e.	PROPN
fuelectenerg-3144	901	4	tsai	tsai	PROPN
fuelectenerg-3144	901	5	,	,	PUNCT
fuelectenerg-3144	901	6	m.	m.	PROPN
fuelectenerg-3144	901	7	perkowski	perkowski	PROPN
fuelectenerg-3144	901	8	a	a	DET
fuelectenerg-3144	901	9	quantum	quantum	ADJ
fuelectenerg-3144	901	10	algorithm	algorithm	NOUN
fuelectenerg-3144	901	11	for	for	ADP
fuelectenerg-3144	901	12	automata	automata	NOUN
fuelectenerg-3144	901	13	encoding	encode	VERB
fuelectenerg-3144	901	14	193	193	NUM
fuelectenerg-3144	901	15	5.2	5.2	NUM
fuelectenerg-3144	901	16	quantum	quantum	NOUN
fuelectenerg-3144	901	17	circuit	circuit	NOUN
fuelectenerg-3144	901	18	to	to	PART
fuelectenerg-3144	901	19	detect	detect	VERB
fuelectenerg-3144	901	20	dependencies	dependency	NOUN
fuelectenerg-3144	901	21	we	we	PRON
fuelectenerg-3144	901	22	next	next	ADV
fuelectenerg-3144	901	23	demonstrate	demonstrate	VERB
fuelectenerg-3144	901	24	a	a	DET
fuelectenerg-3144	901	25	quantum	quantum	NOUN
fuelectenerg-3144	901	26	circuit	circuit	NOUN
fuelectenerg-3144	901	27	design	design	NOUN
fuelectenerg-3144	901	28	that	that	PRON
fuelectenerg-3144	901	29	uses	use	VERB
fuelectenerg-3144	901	30	the	the	DET
fuelectenerg-3144	901	31	procedure	procedure	NOUN
fuelectenerg-3144	901	32	from	from	ADP
fuelectenerg-3144	901	33	section	section	NOUN
fuelectenerg-3144	901	34	4.1	4.1	NUM
fuelectenerg-3144	901	35	to	to	PART
fuelectenerg-3144	901	36	determine	determine	VERB
fuelectenerg-3144	901	37	whether	whether	SCONJ
fuelectenerg-3144	901	38	the	the	DET
fuelectenerg-3144	901	39	next	next	ADJ
fuelectenerg-3144	901	40	state	state	NOUN
fuelectenerg-3144	901	41	of	of	ADP
fuelectenerg-3144	901	42	a	a	DET
fuelectenerg-3144	901	43	single	single	ADJ
fuelectenerg-3144	901	44	flip	flip	NOUN
fuelectenerg-3144	901	45	-	-	PUNCT
fuelectenerg-3144	901	46	flop	flop	NOUN
fuelectenerg-3144	901	47	(	(	PUNCT
fuelectenerg-3144	901	48	i.e.	i.e.	X
fuelectenerg-3144	901	49	,	,	PUNCT
fuelectenerg-3144	901	50	one	one	NUM
fuelectenerg-3144	901	51	of	of	ADP
fuelectenerg-3144	901	52	q+	q+	ADP
fuelectenerg-3144	901	53	1	1	NUM
fuelectenerg-3144	901	54	through	through	ADP
fuelectenerg-3144	901	55	q+	q+	ADP
fuelectenerg-3144	901	56	n	n	CCONJ
fuelectenerg-3144	901	57	)	)	PUNCT
fuelectenerg-3144	901	58	depends	depend	VERB
fuelectenerg-3144	901	59	on	on	ADP
fuelectenerg-3144	901	60	the	the	DET
fuelectenerg-3144	901	61	current	current	ADJ
fuelectenerg-3144	901	62	state	state	NOUN
fuelectenerg-3144	901	63	of	of	ADP
fuelectenerg-3144	901	64	another	another	DET
fuelectenerg-3144	901	65	flip	flip	NOUN
fuelectenerg-3144	901	66	-	-	PUNCT
fuelectenerg-3144	901	67	flop	flop	NOUN
fuelectenerg-3144	901	68	(	(	PUNCT
fuelectenerg-3144	901	69	i.e.	i.e.	X
fuelectenerg-3144	901	70	,	,	PUNCT
fuelectenerg-3144	901	71	one	one	NUM
fuelectenerg-3144	901	72	of	of	ADP
fuelectenerg-3144	901	73	q1	q1	PROPN
fuelectenerg-3144	901	74	through	through	ADP
fuelectenerg-3144	901	75	qn	qn	NOUN
fuelectenerg-3144	901	76	)	)	PUNCT
fuelectenerg-3144	901	77	or	or	CCONJ
fuelectenerg-3144	901	78	the	the	DET
fuelectenerg-3144	901	79	current	current	ADJ
fuelectenerg-3144	901	80	value	value	NOUN
fuelectenerg-3144	901	81	of	of	ADP
fuelectenerg-3144	901	82	a	a	DET
fuelectenerg-3144	901	83	single	single	ADJ
fuelectenerg-3144	901	84	input	input	NOUN
fuelectenerg-3144	901	85	bit	bit	NOUN
fuelectenerg-3144	901	86	(	(	PUNCT
fuelectenerg-3144	901	87	i.e.	i.e.	X
fuelectenerg-3144	901	88	,	,	PUNCT
fuelectenerg-3144	901	89	one	one	NUM
fuelectenerg-3144	901	90	of	of	ADP
fuelectenerg-3144	901	91	x1	x1	PROPN
fuelectenerg-3144	901	92	through	through	ADP
fuelectenerg-3144	901	93	xm	xm	PROPN
fuelectenerg-3144	901	94	)	)	PUNCT
fuelectenerg-3144	901	95	.	.	PUNCT
fuelectenerg-3144	902	1	recall	recall	VERB
fuelectenerg-3144	902	2	that	that	SCONJ
fuelectenerg-3144	902	3	this	this	DET
fuelectenerg-3144	902	4	procedure	procedure	NOUN
fuelectenerg-3144	902	5	involves	involve	VERB
fuelectenerg-3144	902	6	checking	check	VERB
fuelectenerg-3144	902	7	the	the	DET
fuelectenerg-3144	902	8	conditions	condition	NOUN
fuelectenerg-3144	902	9	given	give	VERB
fuelectenerg-3144	902	10	by	by	ADP
fuelectenerg-3144	902	11	eq	eq	PROPN
fuelectenerg-3144	902	12	.	.	PROPN
fuelectenerg-3144	902	13	1	1	NUM
fuelectenerg-3144	902	14	and	and	CCONJ
fuelectenerg-3144	902	15	eq	eq	NOUN
fuelectenerg-3144	902	16	.	.	PROPN
fuelectenerg-3144	902	17	2	2	NUM
fuelectenerg-3144	902	18	for	for	ADP
fuelectenerg-3144	902	19	each	each	DET
fuelectenerg-3144	902	20	pair	pair	NOUN
fuelectenerg-3144	902	21	of	of	ADP
fuelectenerg-3144	902	22	states	state	NOUN
fuelectenerg-3144	902	23	or	or	CCONJ
fuelectenerg-3144	902	24	input	input	NOUN
fuelectenerg-3144	902	25	values	value	NOUN
fuelectenerg-3144	902	26	,	,	PUNCT
fuelectenerg-3144	902	27	respectively	respectively	ADV
fuelectenerg-3144	902	28	.	.	PUNCT
fuelectenerg-3144	903	1	in	in	ADP
fuelectenerg-3144	903	2	turn	turn	NOUN
fuelectenerg-3144	903	3	,	,	PUNCT
fuelectenerg-3144	903	4	eq	eq	NOUN
fuelectenerg-3144	903	5	.	.	PROPN
fuelectenerg-3144	903	6	1	1	NUM
fuelectenerg-3144	903	7	and	and	CCONJ
fuelectenerg-3144	903	8	eq	eq	NOUN
fuelectenerg-3144	903	9	.	.	NOUN
fuelectenerg-3144	903	10	2	2	NUM
fuelectenerg-3144	903	11	involve	involve	VERB
fuelectenerg-3144	903	12	checking	check	VERB
fuelectenerg-3144	903	13	the	the	DET
fuelectenerg-3144	903	14	conditions	condition	NOUN
fuelectenerg-3144	903	15	dj(s	dj(s	NOUN
fuelectenerg-3144	903	16	,	,	PUNCT
fuelectenerg-3144	903	17	s	s	NOUN
fuelectenerg-3144	903	18	′	′	NOUN
fuelectenerg-3144	903	19	)	)	PUNCT
fuelectenerg-3144	903	20	,	,	PUNCT
fuelectenerg-3144	903	21	ai(s	ai(s	NUM
fuelectenerg-3144	903	22	,	,	PUNCT
fuelectenerg-3144	903	23	s	s	NOUN
fuelectenerg-3144	903	24	′	′	NOUN
fuelectenerg-3144	903	25	)	)	PUNCT
fuelectenerg-3144	903	26	,	,	PUNCT
fuelectenerg-3144	903	27	and	and	CCONJ
fuelectenerg-3144	903	28	dj(i	dj(i	NOUN
fuelectenerg-3144	903	29	,	,	PUNCT
fuelectenerg-3144	903	30	i	i	PRON
fuelectenerg-3144	903	31	′	′	VERB
fuelectenerg-3144	903	32	)	)	PUNCT
fuelectenerg-3144	903	33	for	for	ADP
fuelectenerg-3144	903	34	pairs	pair	NOUN
fuelectenerg-3144	903	35	of	of	ADP
fuelectenerg-3144	903	36	states	state	NOUN
fuelectenerg-3144	903	37	or	or	CCONJ
fuelectenerg-3144	903	38	input	input	NOUN
fuelectenerg-3144	903	39	values	value	NOUN
fuelectenerg-3144	903	40	,	,	PUNCT
fuelectenerg-3144	903	41	where	where	SCONJ
fuelectenerg-3144	903	42	dj	dj	NOUN
fuelectenerg-3144	903	43	and	and	CCONJ
fuelectenerg-3144	903	44	ai	ai	NOUN
fuelectenerg-3144	903	45	are	be	AUX
fuelectenerg-3144	903	46	as	as	ADV
fuelectenerg-3144	903	47	defined	define	VERB
fuelectenerg-3144	903	48	in	in	ADP
fuelectenerg-3144	903	49	section	section	NOUN
fuelectenerg-3144	903	50	4.1	4.1	NUM
fuelectenerg-3144	903	51	.	.	PUNCT
fuelectenerg-3144	904	1	using	use	VERB
fuelectenerg-3144	904	2	the	the	DET
fuelectenerg-3144	904	3	binary	binary	ADJ
fuelectenerg-3144	904	4	representation	representation	NOUN
fuelectenerg-3144	904	5	described	describe	VERB
fuelectenerg-3144	904	6	in	in	ADP
fuelectenerg-3144	904	7	section	section	NOUN
fuelectenerg-3144	904	8	5.1	5.1	NUM
fuelectenerg-3144	904	9	,	,	PUNCT
fuelectenerg-3144	904	10	one	one	PRON
fuelectenerg-3144	904	11	can	can	AUX
fuelectenerg-3144	904	12	easily	easily	ADV
fuelectenerg-3144	904	13	construct	construct	VERB
fuelectenerg-3144	904	14	quantum	quantum	ADJ
fuelectenerg-3144	904	15	circuits	circuit	NOUN
fuelectenerg-3144	904	16	to	to	PART
fuelectenerg-3144	904	17	check	check	VERB
fuelectenerg-3144	904	18	dj(s	dj(s	NOUN
fuelectenerg-3144	904	19	,	,	PUNCT
fuelectenerg-3144	904	20	s	s	NOUN
fuelectenerg-3144	904	21	′	′	NOUN
fuelectenerg-3144	904	22	)	)	PUNCT
fuelectenerg-3144	904	23	,	,	PUNCT
fuelectenerg-3144	904	24	ai(s	ai(s	NUM
fuelectenerg-3144	904	25	,	,	PUNCT
fuelectenerg-3144	904	26	s	s	NOUN
fuelectenerg-3144	904	27	′	′	NOUN
fuelectenerg-3144	904	28	)	)	PUNCT
fuelectenerg-3144	904	29	,	,	PUNCT
fuelectenerg-3144	904	30	and	and	CCONJ
fuelectenerg-3144	904	31	dj(i	dj(i	NOUN
fuelectenerg-3144	904	32	,	,	PUNCT
fuelectenerg-3144	904	33	i	i	PRON
fuelectenerg-3144	904	34	′	′	VERB
fuelectenerg-3144	904	35	)	)	PUNCT
fuelectenerg-3144	904	36	for	for	ADP
fuelectenerg-3144	904	37	any	any	DET
fuelectenerg-3144	904	38	pair	pair	NOUN
fuelectenerg-3144	904	39	of	of	ADP
fuelectenerg-3144	904	40	states	state	NOUN
fuelectenerg-3144	904	41	or	or	CCONJ
fuelectenerg-3144	904	42	inputs	input	NOUN
fuelectenerg-3144	904	43	.	.	PUNCT
fuelectenerg-3144	905	1	for	for	ADP
fuelectenerg-3144	905	2	example	example	NOUN
fuelectenerg-3144	905	3	,	,	PUNCT
fuelectenerg-3144	905	4	figure	figure	NOUN
fuelectenerg-3144	905	5	11(a	11(a	NUM
fuelectenerg-3144	905	6	)	)	PUNCT
fuelectenerg-3144	905	7	shows	show	VERB
fuelectenerg-3144	905	8	a	a	DET
fuelectenerg-3144	905	9	quantum	quantum	ADJ
fuelectenerg-3144	905	10	circuit	circuit	NOUN
fuelectenerg-3144	905	11	that	that	PRON
fuelectenerg-3144	905	12	evaluates	evaluate	VERB
fuelectenerg-3144	905	13	d1(s	d1(	NOUN
fuelectenerg-3144	905	14	,	,	PUNCT
fuelectenerg-3144	905	15	s	s	NOUN
fuelectenerg-3144	905	16	′	′	NOUN
fuelectenerg-3144	905	17	)	)	PUNCT
fuelectenerg-3144	905	18	for	for	ADP
fuelectenerg-3144	905	19	any	any	DET
fuelectenerg-3144	905	20	two	two	NUM
fuelectenerg-3144	905	21	distinct	distinct	ADJ
fuelectenerg-3144	905	22	states	state	NOUN
fuelectenerg-3144	905	23	s	s	PART
fuelectenerg-3144	905	24	and	and	CCONJ
fuelectenerg-3144	905	25	s′.7	s′.7	VERB
fuelectenerg-3144	905	26	this	this	DET
fuelectenerg-3144	905	27	circuit	circuit	NOUN
fuelectenerg-3144	905	28	operates	operate	VERB
fuelectenerg-3144	905	29	on	on	ADP
fuelectenerg-3144	905	30	just	just	ADV
fuelectenerg-3144	905	31	a	a	DET
fuelectenerg-3144	905	32	subset	subset	NOUN
fuelectenerg-3144	905	33	of	of	ADP
fuelectenerg-3144	905	34	the	the	DET
fuelectenerg-3144	905	35	complete	complete	ADJ
fuelectenerg-3144	905	36	binary	binary	ADJ
fuelectenerg-3144	905	37	representation	representation	NOUN
fuelectenerg-3144	905	38	of	of	ADP
fuelectenerg-3144	905	39	an	an	DET
fuelectenerg-3144	905	40	encoding	encoding	NOUN
fuelectenerg-3144	905	41	;	;	PUNCT
fuelectenerg-3144	905	42	specifically	specifically	ADV
fuelectenerg-3144	905	43	,	,	PUNCT
fuelectenerg-3144	905	44	it	it	PRON
fuelectenerg-3144	905	45	uses	use	VERB
fuelectenerg-3144	905	46	the	the	DET
fuelectenerg-3144	905	47	qubits	qubit	NOUN
fuelectenerg-3144	905	48	carrying	carry	VERB
fuelectenerg-3144	905	49	information	information	NOUN
fuelectenerg-3144	905	50	about	about	ADP
fuelectenerg-3144	905	51	the	the	DET
fuelectenerg-3144	905	52	encoded	encode	VERB
fuelectenerg-3144	905	53	values	value	NOUN
fuelectenerg-3144	905	54	of	of	ADP
fuelectenerg-3144	905	55	s	s	PRON
fuelectenerg-3144	905	56	and	and	CCONJ
fuelectenerg-3144	905	57	s′.	s′.	PRON
fuelectenerg-3144	905	58	it	it	PRON
fuelectenerg-3144	905	59	uses	use	VERB
fuelectenerg-3144	905	60	feynman	feynman	PROPN
fuelectenerg-3144	905	61	(	(	PUNCT
fuelectenerg-3144	905	62	a.k.a	a.k.a	PROPN
fuelectenerg-3144	905	63	.	.	PROPN
fuelectenerg-3144	905	64	controlled	control	VERB
fuelectenerg-3144	905	65	-	-	PUNCT
fuelectenerg-3144	905	66	not	not	PART
fuelectenerg-3144	905	67	)	)	PUNCT
fuelectenerg-3144	905	68	gates	gate	NOUN
fuelectenerg-3144	905	69	to	to	PART
fuelectenerg-3144	905	70	perform	perform	VERB
fuelectenerg-3144	905	71	comparisons	comparison	NOUN
fuelectenerg-3144	905	72	and	and	CCONJ
fuelectenerg-3144	905	73	a	a	DET
fuelectenerg-3144	905	74	toffoli	toffoli	NOUN
fuelectenerg-3144	905	75	gate	gate	NOUN
fuelectenerg-3144	905	76	to	to	PART
fuelectenerg-3144	905	77	evaluate	evaluate	VERB
fuelectenerg-3144	905	78	the	the	DET
fuelectenerg-3144	905	79	logical	logical	ADJ
fuelectenerg-3144	905	80	and	and	CCONJ
fuelectenerg-3144	905	81	of	of	ADP
fuelectenerg-3144	905	82	two	two	NUM
fuelectenerg-3144	905	83	comparison	comparison	NOUN
fuelectenerg-3144	905	84	results	result	NOUN
fuelectenerg-3144	905	85	.	.	PUNCT
fuelectenerg-3144	906	1	the	the	DET
fuelectenerg-3144	906	2	final	final	ADJ
fuelectenerg-3144	906	3	output	output	NOUN
fuelectenerg-3144	906	4	of	of	ADP
fuelectenerg-3144	906	5	the	the	DET
fuelectenerg-3144	906	6	circuit	circuit	NOUN
fuelectenerg-3144	906	7	is	be	AUX
fuelectenerg-3144	906	8	given	give	VERB
fuelectenerg-3144	906	9	by	by	ADP
fuelectenerg-3144	906	10	the	the	DET
fuelectenerg-3144	906	11	logical	logical	ADJ
fuelectenerg-3144	906	12	expression	expression	NOUN
fuelectenerg-3144	906	13	¬(q2(s	¬(q2(s	NOUN
fuelectenerg-3144	906	14	)	)	PUNCT
fuelectenerg-3144	906	15	⊕	⊕	PROPN
fuelectenerg-3144	906	16	q2(s	q2(s	PROPN
fuelectenerg-3144	906	17	′	′	NUM
fuelectenerg-3144	906	18	)	)	PUNCT
fuelectenerg-3144	906	19	)	)	PUNCT
fuelectenerg-3144	907	1	∧	∧	PROPN
fuelectenerg-3144	907	2	¬(q3(s	¬(q3(	NOUN
fuelectenerg-3144	907	3	)	)	PUNCT
fuelectenerg-3144	907	4	⊕	⊕	PROPN
fuelectenerg-3144	907	5	q3(s	q3(s	PROPN
fuelectenerg-3144	907	6	′	′	NUM
fuelectenerg-3144	907	7	)	)	PUNCT
fuelectenerg-3144	907	8	)	)	PUNCT
fuelectenerg-3144	907	9	,	,	PUNCT
fuelectenerg-3144	907	10	which	which	PRON
fuelectenerg-3144	907	11	evaluates	evaluate	VERB
fuelectenerg-3144	907	12	to	to	ADP
fuelectenerg-3144	907	13	1	1	NUM
fuelectenerg-3144	907	14	if	if	SCONJ
fuelectenerg-3144	907	15	and	and	CCONJ
fuelectenerg-3144	907	16	only	only	ADV
fuelectenerg-3144	907	17	if	if	SCONJ
fuelectenerg-3144	907	18	the	the	DET
fuelectenerg-3144	907	19	encodings	encoding	NOUN
fuelectenerg-3144	907	20	of	of	ADP
fuelectenerg-3144	907	21	s	s	PRON
fuelectenerg-3144	907	22	and	and	CCONJ
fuelectenerg-3144	907	23	s′	s′	NOUN
fuelectenerg-3144	907	24	agree	agree	VERB
fuelectenerg-3144	907	25	in	in	ADP
fuelectenerg-3144	907	26	all	all	DET
fuelectenerg-3144	907	27	state	state	NOUN
fuelectenerg-3144	907	28	variables	variable	NOUN
fuelectenerg-3144	907	29	except	except	SCONJ
fuelectenerg-3144	907	30	q1	q1	PROPN
fuelectenerg-3144	907	31	,	,	PUNCT
fuelectenerg-3144	907	32	exactly	exactly	ADV
fuelectenerg-3144	907	33	the	the	DET
fuelectenerg-3144	907	34	definition	definition	NOUN
fuelectenerg-3144	907	35	of	of	ADP
fuelectenerg-3144	907	36	d1(s	d1(s	PROPN
fuelectenerg-3144	907	37	,	,	PUNCT
fuelectenerg-3144	907	38	s	s	NOUN
fuelectenerg-3144	907	39	′	′	NOUN
fuelectenerg-3144	907	40	)	)	PUNCT
fuelectenerg-3144	907	41	.	.	PUNCT
fuelectenerg-3144	908	1	although	although	SCONJ
fuelectenerg-3144	908	2	we	we	PRON
fuelectenerg-3144	908	3	assumed	assume	VERB
fuelectenerg-3144	908	4	for	for	ADP
fuelectenerg-3144	908	5	the	the	DET
fuelectenerg-3144	908	6	purpose	purpose	NOUN
fuelectenerg-3144	908	7	of	of	ADP
fuelectenerg-3144	908	8	this	this	DET
fuelectenerg-3144	908	9	particular	particular	ADJ
fuelectenerg-3144	908	10	illustration	illustration	NOUN
fuelectenerg-3144	908	11	that	that	PRON
fuelectenerg-3144	908	12	each	each	DET
fuelectenerg-3144	908	13	state	state	NOUN
fuelectenerg-3144	908	14	is	be	AUX
fuelectenerg-3144	908	15	encoded	encode	VERB
fuelectenerg-3144	908	16	by	by	ADP
fuelectenerg-3144	908	17	three	three	NUM
fuelectenerg-3144	908	18	bits	bit	NOUN
fuelectenerg-3144	908	19	,	,	PUNCT
fuelectenerg-3144	908	20	the	the	DET
fuelectenerg-3144	908	21	general	general	ADJ
fuelectenerg-3144	908	22	circuit	circuit	NOUN
fuelectenerg-3144	908	23	structure	structure	NOUN
fuelectenerg-3144	908	24	applies	apply	VERB
fuelectenerg-3144	908	25	to	to	ADP
fuelectenerg-3144	908	26	encodings	encoding	NOUN
fuelectenerg-3144	908	27	of	of	ADP
fuelectenerg-3144	908	28	any	any	DET
fuelectenerg-3144	908	29	size	size	NOUN
fuelectenerg-3144	908	30	.	.	PUNCT
fuelectenerg-3144	909	1	likewise	likewise	ADV
fuelectenerg-3144	909	2	,	,	PUNCT
fuelectenerg-3144	909	3	although	although	SCONJ
fuelectenerg-3144	909	4	this	this	DET
fuelectenerg-3144	909	5	particular	particular	ADJ
fuelectenerg-3144	909	6	circuit	circuit	NOUN
fuelectenerg-3144	909	7	evaluates	evaluate	VERB
fuelectenerg-3144	909	8	d1(s	d1(	NOUN
fuelectenerg-3144	909	9	,	,	PUNCT
fuelectenerg-3144	909	10	s	s	NOUN
fuelectenerg-3144	909	11	′	′	NOUN
fuelectenerg-3144	909	12	)	)	PUNCT
fuelectenerg-3144	909	13	,	,	PUNCT
fuelectenerg-3144	909	14	similar	similar	ADJ
fuelectenerg-3144	909	15	circuits	circuit	NOUN
fuelectenerg-3144	909	16	suffice	suffice	VERB
fuelectenerg-3144	909	17	to	to	PART
fuelectenerg-3144	909	18	evaluate	evaluate	VERB
fuelectenerg-3144	909	19	dj(s	dj(	NOUN
fuelectenerg-3144	909	20	,	,	PUNCT
fuelectenerg-3144	909	21	s	s	NOUN
fuelectenerg-3144	909	22	′	′	NOUN
fuelectenerg-3144	909	23	)	)	PUNCT
fuelectenerg-3144	909	24	for	for	ADP
fuelectenerg-3144	909	25	any	any	DET
fuelectenerg-3144	909	26	j	j	PROPN
fuelectenerg-3144	909	27	,	,	PUNCT
fuelectenerg-3144	909	28	as	as	ADV
fuelectenerg-3144	909	29	well	well	ADV
fuelectenerg-3144	909	30	as	as	ADP
fuelectenerg-3144	909	31	dj(i	dj(i	NOUN
fuelectenerg-3144	909	32	,	,	PUNCT
fuelectenerg-3144	909	33	i	i	PRON
fuelectenerg-3144	909	34	′	′	VERB
fuelectenerg-3144	909	35	)	)	PUNCT
fuelectenerg-3144	909	36	for	for	ADP
fuelectenerg-3144	909	37	two	two	NUM
fuelectenerg-3144	909	38	input	input	NOUN
fuelectenerg-3144	909	39	values	value	NOUN
fuelectenerg-3144	909	40	i	i	PRON
fuelectenerg-3144	909	41	and	and	CCONJ
fuelectenerg-3144	909	42	i′	i′	NOUN
fuelectenerg-3144	909	43	instead	instead	ADV
fuelectenerg-3144	909	44	of	of	ADP
fuelectenerg-3144	909	45	two	two	NUM
fuelectenerg-3144	909	46	states	state	NOUN
fuelectenerg-3144	909	47	.	.	PUNCT
fuelectenerg-3144	910	1	in	in	ADP
fuelectenerg-3144	910	2	a	a	DET
fuelectenerg-3144	910	3	similar	similar	ADJ
fuelectenerg-3144	910	4	vein	vein	NOUN
fuelectenerg-3144	910	5	,	,	PUNCT
fuelectenerg-3144	910	6	figure	figure	NOUN
fuelectenerg-3144	910	7	11(b	11(b	NUM
fuelectenerg-3144	910	8	)	)	PUNCT
fuelectenerg-3144	910	9	shows	show	VERB
fuelectenerg-3144	910	10	a	a	DET
fuelectenerg-3144	910	11	quantum	quantum	ADJ
fuelectenerg-3144	910	12	circuit	circuit	NOUN
fuelectenerg-3144	910	13	that	that	PRON
fuelectenerg-3144	910	14	evaluates	evaluate	VERB
fuelectenerg-3144	910	15	a1(s	a1(s	ADP
fuelectenerg-3144	910	16	,	,	PUNCT
fuelectenerg-3144	910	17	s	s	NOUN
fuelectenerg-3144	910	18	′	′	NOUN
fuelectenerg-3144	910	19	)	)	PUNCT
fuelectenerg-3144	910	20	.	.	PUNCT
fuelectenerg-3144	911	1	this	this	DET
fuelectenerg-3144	911	2	circuit	circuit	NOUN
fuelectenerg-3144	911	3	is	be	AUX
fuelectenerg-3144	911	4	extremely	extremely	ADV
fuelectenerg-3144	911	5	simple	simple	ADJ
fuelectenerg-3144	911	6	,	,	PUNCT
fuelectenerg-3144	911	7	as	as	SCONJ
fuelectenerg-3144	911	8	it	it	PRON
fuelectenerg-3144	911	9	simply	simply	ADV
fuelectenerg-3144	911	10	evaluates	evaluate	VERB
fuelectenerg-3144	911	11	¬(q1(s	¬(q1(s	ADJ
fuelectenerg-3144	911	12	)	)	PUNCT
fuelectenerg-3144	911	13	⊕	⊕	PROPN
fuelectenerg-3144	911	14	q1(s	q1(s	CCONJ
fuelectenerg-3144	911	15	′	′	NUM
fuelectenerg-3144	911	16	)	)	PUNCT
fuelectenerg-3144	911	17	)	)	PUNCT
fuelectenerg-3144	911	18	,	,	PUNCT
fuelectenerg-3144	911	19	which	which	PRON
fuelectenerg-3144	911	20	amounts	amount	VERB
fuelectenerg-3144	911	21	to	to	ADP
fuelectenerg-3144	911	22	just	just	ADV
fuelectenerg-3144	911	23	a	a	DET
fuelectenerg-3144	911	24	one	one	NUM
fuelectenerg-3144	911	25	-	-	PUNCT
fuelectenerg-3144	911	26	bit	bit	NOUN
fuelectenerg-3144	911	27	comparison	comparison	NOUN
fuelectenerg-3144	911	28	.	.	PUNCT
fuelectenerg-3144	912	1	as	as	ADP
fuelectenerg-3144	912	2	before	before	ADV
fuelectenerg-3144	912	3	,	,	PUNCT
fuelectenerg-3144	912	4	the	the	DET
fuelectenerg-3144	912	5	same	same	ADJ
fuelectenerg-3144	912	6	circuit	circuit	NOUN
fuelectenerg-3144	912	7	structure	structure	NOUN
fuelectenerg-3144	912	8	is	be	AUX
fuelectenerg-3144	912	9	usable	usable	ADJ
fuelectenerg-3144	912	10	for	for	ADP
fuelectenerg-3144	912	11	encodings	encoding	NOUN
fuelectenerg-3144	912	12	of	of	ADP
fuelectenerg-3144	912	13	any	any	DET
fuelectenerg-3144	912	14	size	size	NOUN
fuelectenerg-3144	912	15	,	,	PUNCT
fuelectenerg-3144	912	16	not	not	PART
fuelectenerg-3144	912	17	just	just	ADV
fuelectenerg-3144	912	18	three	three	NUM
fuelectenerg-3144	912	19	bits	bit	NOUN
fuelectenerg-3144	912	20	.	.	PUNCT
fuelectenerg-3144	913	1	next	next	ADV
fuelectenerg-3144	913	2	,	,	PUNCT
fuelectenerg-3144	913	3	to	to	PART
fuelectenerg-3144	913	4	check	check	VERB
fuelectenerg-3144	913	5	the	the	DET
fuelectenerg-3144	913	6	conditions	condition	NOUN
fuelectenerg-3144	913	7	specified	specify	VERB
fuelectenerg-3144	913	8	by	by	ADP
fuelectenerg-3144	913	9	eq	eq	PROPN
fuelectenerg-3144	913	10	.	.	PROPN
fuelectenerg-3144	913	11	1	1	NUM
fuelectenerg-3144	913	12	and	and	CCONJ
fuelectenerg-3144	913	13	eq	eq	NOUN
fuelectenerg-3144	913	14	.	.	PROPN
fuelectenerg-3144	913	15	2	2	NUM
fuelectenerg-3144	913	16	,	,	PUNCT
fuelectenerg-3144	913	17	our	our	PRON
fuelectenerg-3144	913	18	quantum	quantum	NOUN
fuelectenerg-3144	913	19	circuit	circuit	NOUN
fuelectenerg-3144	913	20	must	must	AUX
fuelectenerg-3144	913	21	be	be	AUX
fuelectenerg-3144	913	22	able	able	ADJ
fuelectenerg-3144	913	23	to	to	PART
fuelectenerg-3144	913	24	evaluate	evaluate	VERB
fuelectenerg-3144	913	25	a	a	DET
fuelectenerg-3144	913	26	logical	logical	ADJ
fuelectenerg-3144	913	27	implication	implication	NOUN
fuelectenerg-3144	913	28	.	.	PUNCT
fuelectenerg-3144	914	1	recalling	recall	VERB
fuelectenerg-3144	914	2	that	that	SCONJ
fuelectenerg-3144	914	3	the	the	DET
fuelectenerg-3144	914	4	expression	expression	NOUN
fuelectenerg-3144	914	5	a	a	DET
fuelectenerg-3144	914	6	⇒	⇒	NOUN
fuelectenerg-3144	914	7	b	b	NOUN
fuelectenerg-3144	914	8	is	be	AUX
fuelectenerg-3144	914	9	defined	define	VERB
fuelectenerg-3144	914	10	as	as	ADP
fuelectenerg-3144	914	11	¬a∨	¬a∨	ADJ
fuelectenerg-3144	914	12	b	b	NOUN
fuelectenerg-3144	914	13	,	,	PUNCT
fuelectenerg-3144	914	14	we	we	PRON
fuelectenerg-3144	914	15	observe	observe	VERB
fuelectenerg-3144	914	16	that	that	SCONJ
fuelectenerg-3144	914	17	a	a	DET
fuelectenerg-3144	914	18	single	single	ADJ
fuelectenerg-3144	914	19	toffoli	toffoli	NOUN
fuelectenerg-3144	914	20	gate	gate	NOUN
fuelectenerg-3144	914	21	suffices	suffice	VERB
fuelectenerg-3144	914	22	to	to	PART
fuelectenerg-3144	914	23	evaluate	evaluate	VERB
fuelectenerg-3144	914	24	a	a	DET
fuelectenerg-3144	914	25	logical	logical	ADJ
fuelectenerg-3144	914	26	implication	implication	NOUN
fuelectenerg-3144	914	27	,	,	PUNCT
fuelectenerg-3144	914	28	as	as	SCONJ
fuelectenerg-3144	914	29	shown	show	VERB
fuelectenerg-3144	914	30	in	in	ADP
fuelectenerg-3144	914	31	figure	figure	NOUN
fuelectenerg-3144	914	32	12	12	NUM
fuelectenerg-3144	914	33	.	.	PUNCT
fuelectenerg-3144	915	1	finally	finally	ADV
fuelectenerg-3144	915	2	,	,	PUNCT
fuelectenerg-3144	915	3	we	we	PRON
fuelectenerg-3144	915	4	are	be	AUX
fuelectenerg-3144	915	5	ready	ready	ADJ
fuelectenerg-3144	915	6	to	to	PART
fuelectenerg-3144	915	7	turn	turn	VERB
fuelectenerg-3144	915	8	to	to	ADP
fuelectenerg-3144	915	9	the	the	DET
fuelectenerg-3144	915	10	design	design	NOUN
fuelectenerg-3144	915	11	of	of	ADP
fuelectenerg-3144	915	12	the	the	DET
fuelectenerg-3144	915	13	full	full	ADJ
fuelectenerg-3144	915	14	quantum	quantum	ADJ
fuelectenerg-3144	915	15	circuit	circuit	NOUN
fuelectenerg-3144	915	16	for	for	ADP
fuelectenerg-3144	915	17	checking	check	VERB
fuelectenerg-3144	915	18	eq	eq	ADP
fuelectenerg-3144	915	19	.	.	PROPN
fuelectenerg-3144	915	20	1	1	NUM
fuelectenerg-3144	915	21	or	or	CCONJ
fuelectenerg-3144	915	22	eq	eq	NOUN
fuelectenerg-3144	915	23	.	.	PROPN
fuelectenerg-3144	916	1	2	2	X
fuelectenerg-3144	916	2	.	.	X
fuelectenerg-3144	916	3	this	this	DET
fuelectenerg-3144	916	4	task	task	NOUN
fuelectenerg-3144	916	5	is	be	AUX
fuelectenerg-3144	916	6	complicated	complicate	VERB
fuelectenerg-3144	916	7	by	by	ADP
fuelectenerg-3144	916	8	the	the	DET
fuelectenerg-3144	916	9	fact	fact	NOUN
fuelectenerg-3144	916	10	that	that	SCONJ
fuelectenerg-3144	916	11	checking	check	VERB
fuelectenerg-3144	916	12	eq	eq	ADP
fuelectenerg-3144	916	13	.	.	PROPN
fuelectenerg-3144	916	14	1	1	NUM
fuelectenerg-3144	916	15	or	or	CCONJ
fuelectenerg-3144	916	16	eq	eq	NOUN
fuelectenerg-3144	916	17	.	.	PROPN
fuelectenerg-3144	916	18	2	2	NUM
fuelectenerg-3144	916	19	involves	involve	VERB
fuelectenerg-3144	916	20	evaluating	evaluate	VERB
fuelectenerg-3144	916	21	ai(s	ai(s	NUM
fuelectenerg-3144	916	22	,	,	PUNCT
fuelectenerg-3144	916	23	s	s	NOUN
fuelectenerg-3144	916	24	′	′	NOUN
fuelectenerg-3144	916	25	)	)	PUNCT
fuelectenerg-3144	916	26	simultaneously	simultaneously	ADV
fuelectenerg-3144	916	27	for	for	ADP
fuelectenerg-3144	916	28	7technically	7technically	NUM
fuelectenerg-3144	916	29	,	,	PUNCT
fuelectenerg-3144	916	30	this	this	DET
fuelectenerg-3144	916	31	circuit	circuit	NOUN
fuelectenerg-3144	916	32	only	only	ADV
fuelectenerg-3144	916	33	works	work	VERB
fuelectenerg-3144	916	34	correctly	correctly	ADV
fuelectenerg-3144	916	35	if	if	SCONJ
fuelectenerg-3144	916	36	the	the	DET
fuelectenerg-3144	916	37	states	state	NOUN
fuelectenerg-3144	916	38	s	s	PART
fuelectenerg-3144	916	39	and	and	CCONJ
fuelectenerg-3144	916	40	s′	s′	ADJ
fuelectenerg-3144	916	41	have	have	VERB
fuelectenerg-3144	916	42	distinct	distinct	ADJ
fuelectenerg-3144	916	43	encodings	encoding	NOUN
fuelectenerg-3144	916	44	,	,	PUNCT
fuelectenerg-3144	916	45	as	as	SCONJ
fuelectenerg-3144	916	46	required	require	VERB
fuelectenerg-3144	916	47	by	by	ADP
fuelectenerg-3144	916	48	the	the	DET
fuelectenerg-3144	916	49	conditions	condition	NOUN
fuelectenerg-3144	916	50	stated	state	VERB
fuelectenerg-3144	916	51	at	at	ADP
fuelectenerg-3144	916	52	the	the	DET
fuelectenerg-3144	916	53	end	end	NOUN
fuelectenerg-3144	916	54	of	of	ADP
fuelectenerg-3144	916	55	section	section	NOUN
fuelectenerg-3144	916	56	2.2	2.2	NUM
fuelectenerg-3144	916	57	.	.	PUNCT
fuelectenerg-3144	917	1	if	if	SCONJ
fuelectenerg-3144	917	2	s	s	PRON
fuelectenerg-3144	917	3	and	and	CCONJ
fuelectenerg-3144	917	4	s′	s′	NOUN
fuelectenerg-3144	917	5	happen	happen	VERB
fuelectenerg-3144	917	6	to	to	PART
fuelectenerg-3144	917	7	have	have	VERB
fuelectenerg-3144	917	8	the	the	DET
fuelectenerg-3144	917	9	same	same	ADJ
fuelectenerg-3144	917	10	encoding	encoding	NOUN
fuelectenerg-3144	917	11	,	,	PUNCT
fuelectenerg-3144	917	12	the	the	DET
fuelectenerg-3144	917	13	circuit	circuit	NOUN
fuelectenerg-3144	917	14	will	will	AUX
fuelectenerg-3144	917	15	erroneously	erroneously	ADV
fuelectenerg-3144	917	16	output	output	VERB
fuelectenerg-3144	917	17	1	1	NUM
fuelectenerg-3144	917	18	.	.	PUNCT
fuelectenerg-3144	918	1	however	however	ADV
fuelectenerg-3144	918	2	,	,	PUNCT
fuelectenerg-3144	918	3	later	later	ADV
fuelectenerg-3144	918	4	on	on	ADV
fuelectenerg-3144	918	5	,	,	PUNCT
fuelectenerg-3144	918	6	in	in	ADP
fuelectenerg-3144	918	7	section	section	NOUN
fuelectenerg-3144	918	8	5.5	5.5	NUM
fuelectenerg-3144	918	9	,	,	PUNCT
fuelectenerg-3144	918	10	we	we	PRON
fuelectenerg-3144	918	11	describe	describe	VERB
fuelectenerg-3144	918	12	a	a	DET
fuelectenerg-3144	918	13	circuit	circuit	NOUN
fuelectenerg-3144	918	14	that	that	PRON
fuelectenerg-3144	918	15	enforces	enforce	VERB
fuelectenerg-3144	918	16	the	the	DET
fuelectenerg-3144	918	17	condition	condition	NOUN
fuelectenerg-3144	918	18	that	that	SCONJ
fuelectenerg-3144	918	19	distinct	distinct	ADJ
fuelectenerg-3144	918	20	states	state	NOUN
fuelectenerg-3144	918	21	have	have	AUX
fuelectenerg-3144	918	22	distinct	distinct	ADJ
fuelectenerg-3144	918	23	encodings	encoding	NOUN
fuelectenerg-3144	918	24	.	.	PUNCT
fuelectenerg-3144	919	1	this	this	DET
fuelectenerg-3144	919	2	circuit	circuit	NOUN
fuelectenerg-3144	919	3	is	be	AUX
fuelectenerg-3144	919	4	incorporated	incorporate	VERB
fuelectenerg-3144	919	5	into	into	ADP
fuelectenerg-3144	919	6	the	the	DET
fuelectenerg-3144	919	7	final	final	ADJ
fuelectenerg-3144	919	8	oracle	oracle	NOUN
fuelectenerg-3144	919	9	,	,	PUNCT
fuelectenerg-3144	919	10	as	as	SCONJ
fuelectenerg-3144	919	11	described	describe	VERB
fuelectenerg-3144	919	12	in	in	ADP
fuelectenerg-3144	919	13	section	section	NOUN
fuelectenerg-3144	919	14	5.6	5.6	NUM
fuelectenerg-3144	919	15	,	,	PUNCT
fuelectenerg-3144	919	16	so	so	SCONJ
fuelectenerg-3144	919	17	that	that	SCONJ
fuelectenerg-3144	919	18	it	it	PRON
fuelectenerg-3144	919	19	forces	force	VERB
fuelectenerg-3144	919	20	the	the	DET
fuelectenerg-3144	919	21	oracle	oracle	NOUN
fuelectenerg-3144	919	22	’s	’s	PART
fuelectenerg-3144	919	23	output	output	NOUN
fuelectenerg-3144	919	24	to	to	ADP
fuelectenerg-3144	919	25	0	0	NUM
fuelectenerg-3144	919	26	whenever	whenever	SCONJ
fuelectenerg-3144	919	27	this	this	DET
fuelectenerg-3144	919	28	condition	condition	NOUN
fuelectenerg-3144	919	29	is	be	AUX
fuelectenerg-3144	919	30	violated	violate	VERB
fuelectenerg-3144	919	31	.	.	PUNCT
fuelectenerg-3144	920	1	the	the	DET
fuelectenerg-3144	920	2	operation	operation	NOUN
fuelectenerg-3144	920	3	of	of	ADP
fuelectenerg-3144	920	4	the	the	DET
fuelectenerg-3144	920	5	circuit	circuit	NOUN
fuelectenerg-3144	920	6	described	describe	VERB
fuelectenerg-3144	920	7	in	in	ADP
fuelectenerg-3144	920	8	the	the	DET
fuelectenerg-3144	920	9	present	present	ADJ
fuelectenerg-3144	920	10	section	section	NOUN
fuelectenerg-3144	920	11	therefore	therefore	ADV
fuelectenerg-3144	920	12	becomes	become	VERB
fuelectenerg-3144	920	13	irrelevant	irrelevant	ADJ
fuelectenerg-3144	920	14	in	in	ADP
fuelectenerg-3144	920	15	such	such	DET
fuelectenerg-3144	920	16	a	a	DET
fuelectenerg-3144	920	17	case	case	NOUN
fuelectenerg-3144	920	18	,	,	PUNCT
fuelectenerg-3144	920	19	since	since	SCONJ
fuelectenerg-3144	920	20	grover	grover	PROPN
fuelectenerg-3144	920	21	’s	’s	PART
fuelectenerg-3144	920	22	algorithm	algorithm	NOUN
fuelectenerg-3144	920	23	will	will	AUX
fuelectenerg-3144	920	24	never	never	ADV
fuelectenerg-3144	920	25	find	find	VERB
fuelectenerg-3144	920	26	such	such	DET
fuelectenerg-3144	920	27	a	a	DET
fuelectenerg-3144	920	28	distinctness	distinctness	NOUN
fuelectenerg-3144	920	29	-	-	PUNCT
fuelectenerg-3144	920	30	violating	violating	NOUN
fuelectenerg-3144	920	31	encoding	encoding	NOUN
fuelectenerg-3144	920	32	as	as	ADP
fuelectenerg-3144	920	33	a	a	DET
fuelectenerg-3144	920	34	solution	solution	NOUN
fuelectenerg-3144	920	35	.	.	PUNCT
fuelectenerg-3144	921	1	from	from	ADP
fuelectenerg-3144	921	2	now	now	ADV
fuelectenerg-3144	921	3	on	on	ADV
fuelectenerg-3144	921	4	,	,	PUNCT
fuelectenerg-3144	921	5	we	we	PRON
fuelectenerg-3144	921	6	therefore	therefore	ADV
fuelectenerg-3144	921	7	proceed	proceed	VERB
fuelectenerg-3144	921	8	with	with	ADP
fuelectenerg-3144	921	9	the	the	DET
fuelectenerg-3144	921	10	implicit	implicit	ADJ
fuelectenerg-3144	921	11	assumption	assumption	NOUN
fuelectenerg-3144	921	12	that	that	SCONJ
fuelectenerg-3144	921	13	distinct	distinct	ADJ
fuelectenerg-3144	921	14	states	state	NOUN
fuelectenerg-3144	921	15	have	have	AUX
fuelectenerg-3144	921	16	distinct	distinct	ADJ
fuelectenerg-3144	921	17	encodings	encoding	NOUN
fuelectenerg-3144	921	18	.	.	PUNCT
fuelectenerg-3144	922	1	the	the	DET
fuelectenerg-3144	922	2	same	same	ADJ
fuelectenerg-3144	922	3	applies	apply	VERB
fuelectenerg-3144	922	4	to	to	ADP
fuelectenerg-3144	922	5	input	input	NOUN
fuelectenerg-3144	922	6	values	value	NOUN
fuelectenerg-3144	922	7	as	as	ADV
fuelectenerg-3144	922	8	well	well	ADV
fuelectenerg-3144	922	9	—	—	PUNCT
fuelectenerg-3144	922	10	the	the	DET
fuelectenerg-3144	922	11	operation	operation	NOUN
fuelectenerg-3144	922	12	of	of	ADP
fuelectenerg-3144	922	13	the	the	DET
fuelectenerg-3144	922	14	circuit	circuit	NOUN
fuelectenerg-3144	922	15	described	describe	VERB
fuelectenerg-3144	922	16	here	here	ADV
fuelectenerg-3144	922	17	is	be	AUX
fuelectenerg-3144	922	18	similarly	similarly	ADV
fuelectenerg-3144	922	19	irrelevant	irrelevant	ADJ
fuelectenerg-3144	922	20	if	if	SCONJ
fuelectenerg-3144	922	21	distinct	distinct	ADJ
fuelectenerg-3144	922	22	input	input	NOUN
fuelectenerg-3144	922	23	values	value	NOUN
fuelectenerg-3144	922	24	do	do	AUX
fuelectenerg-3144	922	25	not	not	PART
fuelectenerg-3144	922	26	have	have	VERB
fuelectenerg-3144	922	27	distinct	distinct	ADJ
fuelectenerg-3144	922	28	encodings	encoding	NOUN
fuelectenerg-3144	922	29	.	.	PUNCT
fuelectenerg-3144	923	1	24	24	NUM
fuelectenerg-3144	923	2	q1(s	q1(s	NUM
fuelectenerg-3144	923	3	′	′	NUM
fuelectenerg-3144	923	4	)	)	PUNCT
fuelectenerg-3144	923	5	q2(s	q2(s	PROPN
fuelectenerg-3144	923	6	′	′	NUM
fuelectenerg-3144	923	7	)	)	PUNCT
fuelectenerg-3144	924	1	q3(s	q3(s	PROPN
fuelectenerg-3144	924	2	′	′	NUM
fuelectenerg-3144	924	3	)	)	PUNCT
fuelectenerg-3144	924	4	q1(s	q1(s	PROPN
fuelectenerg-3144	924	5	)	)	PUNCT
fuelectenerg-3144	924	6	q2(s	q2(s	NOUN
fuelectenerg-3144	924	7	)	)	PUNCT
fuelectenerg-3144	924	8	q3(s	q3(s	PROPN
fuelectenerg-3144	924	9	)	)	PUNCT
fuelectenerg-3144	924	10	|0	|0	NUM
fuelectenerg-3144	924	11	〉	〉	PROPN
fuelectenerg-3144	924	12	encoding	encoding	NOUN
fuelectenerg-3144	924	13	of	of	ADP
fuelectenerg-3144	924	14	s′	s′	ADJ
fuelectenerg-3144	924	15	encoding	encoding	NOUN
fuelectenerg-3144	924	16	of	of	ADP
fuelectenerg-3144	924	17	s	s	PROPN
fuelectenerg-3144	924	18	d1(s	d1(s	PROPN
fuelectenerg-3144	924	19	,	,	PUNCT
fuelectenerg-3144	924	20	s	s	NOUN
fuelectenerg-3144	924	21	′	′	NOUN
fuelectenerg-3144	924	22	)	)	PUNCT
fuelectenerg-3144	924	23	(	(	PUNCT
fuelectenerg-3144	924	24	a	a	X
fuelectenerg-3144	924	25	)	)	PUNCT
fuelectenerg-3144	925	1	q1(s	q1(s	ADP
fuelectenerg-3144	925	2	′	′	NUM
fuelectenerg-3144	925	3	)	)	PUNCT
fuelectenerg-3144	925	4	q2(s	q2(s	PROPN
fuelectenerg-3144	925	5	′	′	NUM
fuelectenerg-3144	925	6	)	)	PUNCT
fuelectenerg-3144	925	7	q3(s	q3(s	PROPN
fuelectenerg-3144	925	8	′	′	NUM
fuelectenerg-3144	925	9	)	)	PUNCT
fuelectenerg-3144	925	10	q1(s	q1(s	PROPN
fuelectenerg-3144	925	11	)	)	PUNCT
fuelectenerg-3144	925	12	q2(s	q2(s	NOUN
fuelectenerg-3144	925	13	)	)	PUNCT
fuelectenerg-3144	925	14	q3(s	q3(s	PROPN
fuelectenerg-3144	925	15	)	)	PUNCT
fuelectenerg-3144	925	16	encoding	encoding	NOUN
fuelectenerg-3144	925	17	of	of	ADP
fuelectenerg-3144	925	18	s′	s′	ADJ
fuelectenerg-3144	925	19	encoding	encoding	NOUN
fuelectenerg-3144	925	20	of	of	ADP
fuelectenerg-3144	925	21	s	s	NOUN
fuelectenerg-3144	925	22	a1(s	a1(s	PROPN
fuelectenerg-3144	925	23	,	,	PUNCT
fuelectenerg-3144	925	24	s	s	NOUN
fuelectenerg-3144	925	25	′	′	NOUN
fuelectenerg-3144	925	26	)	)	PUNCT
fuelectenerg-3144	925	27	(	(	PUNCT
fuelectenerg-3144	925	28	b	b	X
fuelectenerg-3144	925	29	)	)	PUNCT
fuelectenerg-3144	925	30	figure	figure	NOUN
fuelectenerg-3144	925	31	11	11	NUM
fuelectenerg-3144	925	32	:	:	PUNCT
fuelectenerg-3144	925	33	(	(	PUNCT
fuelectenerg-3144	925	34	a	a	X
fuelectenerg-3144	925	35	)	)	PUNCT
fuelectenerg-3144	925	36	quantum	quantum	NOUN
fuelectenerg-3144	925	37	circuit	circuit	NOUN
fuelectenerg-3144	925	38	to	to	PART
fuelectenerg-3144	925	39	check	check	VERB
fuelectenerg-3144	925	40	d1(s	d1(s	PROPN
fuelectenerg-3144	925	41	,	,	PUNCT
fuelectenerg-3144	925	42	s	s	NOUN
fuelectenerg-3144	925	43	′	′	NOUN
fuelectenerg-3144	925	44	)	)	PUNCT
fuelectenerg-3144	925	45	;	;	PUNCT
fuelectenerg-3144	925	46	(	(	PUNCT
fuelectenerg-3144	925	47	b	b	X
fuelectenerg-3144	925	48	)	)	PUNCT
fuelectenerg-3144	925	49	circuit	circuit	NOUN
fuelectenerg-3144	925	50	to	to	PART
fuelectenerg-3144	925	51	check	check	VERB
fuelectenerg-3144	925	52	a1(s	a1(s	ADP
fuelectenerg-3144	925	53	,	,	PUNCT
fuelectenerg-3144	925	54	s	s	NOUN
fuelectenerg-3144	925	55	′	′	NOUN
fuelectenerg-3144	925	56	)	)	PUNCT
fuelectenerg-3144	925	57	.	.	PUNCT
fuelectenerg-3144	926	1	a	a	DET
fuelectenerg-3144	926	2	b	b	X
fuelectenerg-3144	926	3	|1	|1	NOUN
fuelectenerg-3144	926	4	〉	〉	NOUN
fuelectenerg-3144	926	5	a	a	DET
fuelectenerg-3144	926	6	⇒	⇒	NOUN
fuelectenerg-3144	926	7	b	b	NOUN
fuelectenerg-3144	926	8	figure	figure	NOUN
fuelectenerg-3144	926	9	12	12	NUM
fuelectenerg-3144	926	10	:	:	PUNCT
fuelectenerg-3144	926	11	logical	logical	ADJ
fuelectenerg-3144	926	12	implication	implication	NOUN
fuelectenerg-3144	926	13	evaluated	evaluate	VERB
fuelectenerg-3144	926	14	using	use	VERB
fuelectenerg-3144	926	15	a	a	DET
fuelectenerg-3144	926	16	toffoli	toffoli	NOUN
fuelectenerg-3144	926	17	gate	gate	NOUN
fuelectenerg-3144	926	18	.	.	PUNCT
fuelectenerg-3144	927	1	25	25	NUM
fuelectenerg-3144	927	2	192	192	NUM
fuelectenerg-3144	927	3	e.	e.	PROPN
fuelectenerg-3144	927	4	tsai	tsai	PROPN
fuelectenerg-3144	927	5	,	,	PUNCT
fuelectenerg-3144	927	6	m.	m.	PROPN
fuelectenerg-3144	927	7	perkowski	perkowski	PROPN
fuelectenerg-3144	927	8	a	a	DET
fuelectenerg-3144	927	9	quantum	quantum	ADJ
fuelectenerg-3144	927	10	algorithm	algorithm	NOUN
fuelectenerg-3144	927	11	for	for	ADP
fuelectenerg-3144	927	12	automata	automata	NOUN
fuelectenerg-3144	927	13	encoding	encode	VERB
fuelectenerg-3144	927	14	193	193	NUM
fuelectenerg-3144	927	15	many	many	ADJ
fuelectenerg-3144	927	16	pairs	pair	NOUN
fuelectenerg-3144	927	17	of	of	ADP
fuelectenerg-3144	927	18	states	state	NOUN
fuelectenerg-3144	927	19	.	.	PUNCT
fuelectenerg-3144	928	1	for	for	ADP
fuelectenerg-3144	928	2	instance	instance	NOUN
fuelectenerg-3144	928	3	,	,	PUNCT
fuelectenerg-3144	928	4	consider	consider	VERB
fuelectenerg-3144	928	5	the	the	DET
fuelectenerg-3144	928	6	state	state	NOUN
fuelectenerg-3144	928	7	machine	machine	NOUN
fuelectenerg-3144	928	8	from	from	ADP
fuelectenerg-3144	928	9	figure	figure	NOUN
fuelectenerg-3144	928	10	2	2	NUM
fuelectenerg-3144	928	11	,	,	PUNCT
fuelectenerg-3144	928	12	and	and	CCONJ
fuelectenerg-3144	928	13	suppose	suppose	VERB
fuelectenerg-3144	928	14	that	that	SCONJ
fuelectenerg-3144	928	15	we	we	PRON
fuelectenerg-3144	928	16	wish	wish	VERB
fuelectenerg-3144	928	17	to	to	PART
fuelectenerg-3144	928	18	design	design	VERB
fuelectenerg-3144	928	19	a	a	DET
fuelectenerg-3144	928	20	quantum	quantum	ADJ
fuelectenerg-3144	928	21	circuit	circuit	NOUN
fuelectenerg-3144	928	22	to	to	PART
fuelectenerg-3144	928	23	evaluate	evaluate	VERB
fuelectenerg-3144	928	24	eq	eq	ADP
fuelectenerg-3144	928	25	.	.	PROPN
fuelectenerg-3144	928	26	2	2	NUM
fuelectenerg-3144	928	27	for	for	ADP
fuelectenerg-3144	928	28	i	i	PRON
fuelectenerg-3144	928	29	=	=	NOUN
fuelectenerg-3144	928	30	1	1	NUM
fuelectenerg-3144	928	31	,	,	PUNCT
fuelectenerg-3144	928	32	j	j	PROPN
fuelectenerg-3144	928	33	=	=	SYM
fuelectenerg-3144	928	34	2	2	NUM
fuelectenerg-3144	928	35	,	,	PUNCT
fuelectenerg-3144	928	36	and	and	CCONJ
fuelectenerg-3144	928	37	the	the	DET
fuelectenerg-3144	928	38	pair	pair	NOUN
fuelectenerg-3144	928	39	of	of	ADP
fuelectenerg-3144	928	40	input	input	NOUN
fuelectenerg-3144	928	41	values	value	NOUN
fuelectenerg-3144	928	42	(	(	PUNCT
fuelectenerg-3144	928	43	i	i	NOUN
fuelectenerg-3144	928	44	,	,	PUNCT
fuelectenerg-3144	928	45	i′	i′	NOUN
fuelectenerg-3144	928	46	)	)	PUNCT
fuelectenerg-3144	929	1	=	=	SYM
fuelectenerg-3144	929	2	(	(	PUNCT
fuelectenerg-3144	929	3	i1	i1	PROPN
fuelectenerg-3144	929	4	,	,	PUNCT
fuelectenerg-3144	929	5	i2	i2	PROPN
fuelectenerg-3144	929	6	)	)	PUNCT
fuelectenerg-3144	929	7	.	.	PUNCT
fuelectenerg-3144	930	1	the	the	DET
fuelectenerg-3144	930	2	circuit	circuit	NOUN
fuelectenerg-3144	930	3	must	must	AUX
fuelectenerg-3144	930	4	then	then	ADV
fuelectenerg-3144	930	5	check	check	VERB
fuelectenerg-3144	930	6	whether	whether	SCONJ
fuelectenerg-3144	930	7	a1(δ(s	a1(δ(s	PROPN
fuelectenerg-3144	930	8	,	,	PUNCT
fuelectenerg-3144	930	9	i	i	NOUN
fuelectenerg-3144	930	10	)	)	PUNCT
fuelectenerg-3144	930	11	,	,	PUNCT
fuelectenerg-3144	930	12	δ(s	δ(s	PROPN
fuelectenerg-3144	930	13	,	,	PUNCT
fuelectenerg-3144	930	14	i	i	PRON
fuelectenerg-3144	930	15	′	′	NOUN
fuelectenerg-3144	930	16	)	)	PUNCT
fuelectenerg-3144	930	17	)	)	PUNCT
fuelectenerg-3144	931	1	holds	hold	VERB
fuelectenerg-3144	931	2	for	for	ADP
fuelectenerg-3144	931	3	all	all	DET
fuelectenerg-3144	931	4	states	state	NOUN
fuelectenerg-3144	931	5	s.	s.	PROPN
fuelectenerg-3144	931	6	in	in	ADP
fuelectenerg-3144	931	7	this	this	DET
fuelectenerg-3144	931	8	case	case	NOUN
fuelectenerg-3144	931	9	,	,	PUNCT
fuelectenerg-3144	931	10	given	give	VERB
fuelectenerg-3144	931	11	i	i	PROPN
fuelectenerg-3144	931	12	=	=	PROPN
fuelectenerg-3144	931	13	i1	i1	PROPN
fuelectenerg-3144	931	14	and	and	CCONJ
fuelectenerg-3144	931	15	i′	i′	NOUN
fuelectenerg-3144	931	16	=	=	SYM
fuelectenerg-3144	931	17	i2	i2	PROPN
fuelectenerg-3144	931	18	,	,	PUNCT
fuelectenerg-3144	931	19	the	the	DET
fuelectenerg-3144	931	20	corresponding	correspond	VERB
fuelectenerg-3144	931	21	pairs	pair	NOUN
fuelectenerg-3144	931	22	(	(	PUNCT
fuelectenerg-3144	931	23	δ(s	δ(s	PROPN
fuelectenerg-3144	931	24	,	,	PUNCT
fuelectenerg-3144	931	25	i	i	NOUN
fuelectenerg-3144	931	26	)	)	PUNCT
fuelectenerg-3144	931	27	,	,	PUNCT
fuelectenerg-3144	931	28	δ(s	δ(s	PROPN
fuelectenerg-3144	931	29	,	,	PUNCT
fuelectenerg-3144	931	30	i′	i′	NOUN
fuelectenerg-3144	931	31	)	)	PUNCT
fuelectenerg-3144	931	32	)	)	PUNCT
fuelectenerg-3144	931	33	of	of	ADP
fuelectenerg-3144	931	34	next	next	ADJ
fuelectenerg-3144	931	35	states	state	NOUN
fuelectenerg-3144	931	36	are	be	AUX
fuelectenerg-3144	931	37	(	(	PUNCT
fuelectenerg-3144	931	38	s2	s2	PROPN
fuelectenerg-3144	931	39	,	,	PUNCT
fuelectenerg-3144	931	40	s2	s2	PROPN
fuelectenerg-3144	931	41	)	)	PUNCT
fuelectenerg-3144	931	42	,	,	PUNCT
fuelectenerg-3144	931	43	(	(	PUNCT
fuelectenerg-3144	931	44	s4	s4	PROPN
fuelectenerg-3144	931	45	,	,	PUNCT
fuelectenerg-3144	931	46	s1	s1	NOUN
fuelectenerg-3144	931	47	)	)	PUNCT
fuelectenerg-3144	931	48	,	,	PUNCT
fuelectenerg-3144	931	49	(	(	PUNCT
fuelectenerg-3144	931	50	s2	s2	PROPN
fuelectenerg-3144	931	51	,	,	PUNCT
fuelectenerg-3144	931	52	s3	s3	PROPN
fuelectenerg-3144	931	53	)	)	PUNCT
fuelectenerg-3144	931	54	,	,	PUNCT
fuelectenerg-3144	931	55	and	and	CCONJ
fuelectenerg-3144	931	56	(	(	PUNCT
fuelectenerg-3144	931	57	s4	s4	PROPN
fuelectenerg-3144	931	58	,	,	PUNCT
fuelectenerg-3144	931	59	s4	s4	PROPN
fuelectenerg-3144	931	60	)	)	PUNCT
fuelectenerg-3144	931	61	for	for	ADP
fuelectenerg-3144	931	62	s	s	NOUN
fuelectenerg-3144	931	63	=	=	SYM
fuelectenerg-3144	931	64	s1	s1	PROPN
fuelectenerg-3144	931	65	,	,	PUNCT
fuelectenerg-3144	931	66	s2	s2	PROPN
fuelectenerg-3144	931	67	,	,	PUNCT
fuelectenerg-3144	931	68	s3	s3	PROPN
fuelectenerg-3144	931	69	,	,	PUNCT
fuelectenerg-3144	931	70	and	and	CCONJ
fuelectenerg-3144	931	71	s4	s4	PROPN
fuelectenerg-3144	931	72	,	,	PUNCT
fuelectenerg-3144	931	73	respectively	respectively	ADV
fuelectenerg-3144	931	74	.	.	PUNCT
fuelectenerg-3144	932	1	since	since	SCONJ
fuelectenerg-3144	932	2	a1(s2	a1(s2	NOUN
fuelectenerg-3144	932	3	,	,	PUNCT
fuelectenerg-3144	932	4	s2	s2	PROPN
fuelectenerg-3144	932	5	)	)	PUNCT
fuelectenerg-3144	932	6	and	and	CCONJ
fuelectenerg-3144	932	7	a1(s4	a1(s4	PROPN
fuelectenerg-3144	932	8	,	,	PUNCT
fuelectenerg-3144	932	9	s4	s4	PROPN
fuelectenerg-3144	932	10	)	)	PUNCT
fuelectenerg-3144	932	11	are	be	AUX
fuelectenerg-3144	932	12	trivially	trivially	ADV
fuelectenerg-3144	932	13	true	true	ADJ
fuelectenerg-3144	932	14	,	,	PUNCT
fuelectenerg-3144	932	15	we	we	PRON
fuelectenerg-3144	932	16	can	can	AUX
fuelectenerg-3144	932	17	ignore	ignore	VERB
fuelectenerg-3144	932	18	them	they	PRON
fuelectenerg-3144	932	19	.	.	PUNCT
fuelectenerg-3144	933	1	thus	thus	ADV
fuelectenerg-3144	933	2	,	,	PUNCT
fuelectenerg-3144	933	3	the	the	DET
fuelectenerg-3144	933	4	quantum	quantum	NOUN
fuelectenerg-3144	933	5	circuit	circuit	NOUN
fuelectenerg-3144	933	6	must	must	AUX
fuelectenerg-3144	933	7	check	check	VERB
fuelectenerg-3144	933	8	whether	whether	SCONJ
fuelectenerg-3144	933	9	a1(s4	a1(s4	NOUN
fuelectenerg-3144	933	10	,	,	PUNCT
fuelectenerg-3144	933	11	s1	s1	NOUN
fuelectenerg-3144	933	12	)	)	PUNCT
fuelectenerg-3144	933	13	and	and	CCONJ
fuelectenerg-3144	933	14	a1(s2	a1(s2	NOUN
fuelectenerg-3144	933	15	,	,	PUNCT
fuelectenerg-3144	933	16	s3	s3	PROPN
fuelectenerg-3144	933	17	)	)	PUNCT
fuelectenerg-3144	933	18	simultaneously	simultaneously	ADV
fuelectenerg-3144	933	19	hold	hold	VERB
fuelectenerg-3144	933	20	.	.	PUNCT
fuelectenerg-3144	934	1	the	the	DET
fuelectenerg-3144	934	2	upper	upper	ADJ
fuelectenerg-3144	934	3	portion	portion	NOUN
fuelectenerg-3144	934	4	of	of	ADP
fuelectenerg-3144	934	5	figure	figure	NOUN
fuelectenerg-3144	934	6	13	13	NUM
fuelectenerg-3144	934	7	demonstrates	demonstrate	VERB
fuelectenerg-3144	934	8	a	a	DET
fuelectenerg-3144	934	9	subcircuit	subcircuit	NOUN
fuelectenerg-3144	934	10	that	that	PRON
fuelectenerg-3144	934	11	accomplishes	accomplish	VERB
fuelectenerg-3144	934	12	this	this	DET
fuelectenerg-3144	934	13	task	task	NOUN
fuelectenerg-3144	934	14	.	.	PUNCT
fuelectenerg-3144	935	1	the	the	DET
fuelectenerg-3144	935	2	lower	low	ADJ
fuelectenerg-3144	935	3	portion	portion	NOUN
fuelectenerg-3144	935	4	of	of	ADP
fuelectenerg-3144	935	5	figure	figure	NOUN
fuelectenerg-3144	935	6	13	13	NUM
fuelectenerg-3144	935	7	then	then	ADV
fuelectenerg-3144	935	8	combines	combine	VERB
fuelectenerg-3144	935	9	this	this	DET
fuelectenerg-3144	935	10	subcircuit	subcircuit	NOUN
fuelectenerg-3144	935	11	with	with	ADP
fuelectenerg-3144	935	12	another	another	DET
fuelectenerg-3144	935	13	subcircuit	subcircuit	NOUN
fuelectenerg-3144	935	14	(	(	PUNCT
fuelectenerg-3144	935	15	from	from	ADP
fuelectenerg-3144	935	16	figure	figure	NOUN
fuelectenerg-3144	935	17	11(b	11(b	NUM
fuelectenerg-3144	935	18	)	)	PUNCT
fuelectenerg-3144	935	19	)	)	PUNCT
fuelectenerg-3144	935	20	to	to	PART
fuelectenerg-3144	935	21	evaluate	evaluate	VERB
fuelectenerg-3144	935	22	the	the	DET
fuelectenerg-3144	935	23	full	full	ADJ
fuelectenerg-3144	935	24	eq	eq	NOUN
fuelectenerg-3144	935	25	.	.	PROPN
fuelectenerg-3144	935	26	2	2	X
fuelectenerg-3144	935	27	.	.	X
fuelectenerg-3144	936	1	in	in	ADP
fuelectenerg-3144	936	2	other	other	ADJ
fuelectenerg-3144	936	3	words	word	NOUN
fuelectenerg-3144	936	4	,	,	PUNCT
fuelectenerg-3144	936	5	the	the	DET
fuelectenerg-3144	936	6	final	final	ADJ
fuelectenerg-3144	936	7	output	output	NOUN
fuelectenerg-3144	936	8	of	of	ADP
fuelectenerg-3144	936	9	this	this	DET
fuelectenerg-3144	936	10	circuit	circuit	NOUN
fuelectenerg-3144	936	11	,	,	PUNCT
fuelectenerg-3144	936	12	on	on	ADP
fuelectenerg-3144	936	13	the	the	DET
fuelectenerg-3144	936	14	bottommost	bottommost	ADJ
fuelectenerg-3144	936	15	qubit	qubit	NOUN
fuelectenerg-3144	936	16	,	,	PUNCT
fuelectenerg-3144	936	17	will	will	AUX
fuelectenerg-3144	936	18	be	be	AUX
fuelectenerg-3144	936	19	1	1	NUM
fuelectenerg-3144	936	20	if	if	SCONJ
fuelectenerg-3144	936	21	eq	eq	ADJ
fuelectenerg-3144	936	22	.	.	NOUN
fuelectenerg-3144	936	23	2	2	NUM
fuelectenerg-3144	936	24	is	be	AUX
fuelectenerg-3144	936	25	satisfied	satisfied	ADJ
fuelectenerg-3144	936	26	,	,	PUNCT
fuelectenerg-3144	936	27	and	and	CCONJ
fuelectenerg-3144	936	28	0	0	NUM
fuelectenerg-3144	936	29	if	if	SCONJ
fuelectenerg-3144	936	30	it	it	PRON
fuelectenerg-3144	936	31	is	be	AUX
fuelectenerg-3144	936	32	not	not	PART
fuelectenerg-3144	936	33	.	.	PUNCT
fuelectenerg-3144	937	1	we	we	PRON
fuelectenerg-3144	937	2	reiterate	reiterate	VERB
fuelectenerg-3144	937	3	that	that	SCONJ
fuelectenerg-3144	937	4	for	for	ADP
fuelectenerg-3144	937	5	an	an	DET
fuelectenerg-3144	937	6	fsm	fsm	NOUN
fuelectenerg-3144	937	7	with	with	ADP
fuelectenerg-3144	937	8	more	more	ADJ
fuelectenerg-3144	937	9	than	than	ADP
fuelectenerg-3144	937	10	four	four	NUM
fuelectenerg-3144	937	11	input	input	NOUN
fuelectenerg-3144	937	12	values	value	NOUN
fuelectenerg-3144	937	13	(	(	PUNCT
fuelectenerg-3144	937	14	so	so	SCONJ
fuelectenerg-3144	937	15	that	that	SCONJ
fuelectenerg-3144	937	16	each	each	DET
fuelectenerg-3144	937	17	input	input	NOUN
fuelectenerg-3144	937	18	value	value	NOUN
fuelectenerg-3144	937	19	is	be	AUX
fuelectenerg-3144	937	20	encoded	encode	VERB
fuelectenerg-3144	937	21	by	by	ADP
fuelectenerg-3144	937	22	at	at	ADV
fuelectenerg-3144	937	23	least	least	ADV
fuelectenerg-3144	937	24	three	three	NUM
fuelectenerg-3144	937	25	bits	bit	NOUN
fuelectenerg-3144	937	26	)	)	PUNCT
fuelectenerg-3144	937	27	,	,	PUNCT
fuelectenerg-3144	937	28	one	one	PRON
fuelectenerg-3144	937	29	would	would	AUX
fuelectenerg-3144	937	30	replace	replace	VERB
fuelectenerg-3144	937	31	the	the	DET
fuelectenerg-3144	937	32	simplified	simplified	ADJ
fuelectenerg-3144	937	33	circuit	circuit	NOUN
fuelectenerg-3144	937	34	for	for	ADP
fuelectenerg-3144	937	35	evaluating	evaluate	VERB
fuelectenerg-3144	937	36	d2(i1	d2(i1	NOUN
fuelectenerg-3144	937	37	,	,	PUNCT
fuelectenerg-3144	937	38	i2	i2	PROPN
fuelectenerg-3144	937	39	)	)	PUNCT
fuelectenerg-3144	937	40	with	with	ADP
fuelectenerg-3144	937	41	the	the	DET
fuelectenerg-3144	937	42	full	full	ADJ
fuelectenerg-3144	937	43	one	one	NUM
fuelectenerg-3144	937	44	from	from	ADP
fuelectenerg-3144	937	45	figure	figure	NOUN
fuelectenerg-3144	937	46	11(a	11(a	NUM
fuelectenerg-3144	937	47	)	)	PUNCT
fuelectenerg-3144	937	48	.	.	PUNCT
fuelectenerg-3144	938	1	in	in	ADP
fuelectenerg-3144	938	2	some	some	DET
fuelectenerg-3144	938	3	cases	case	NOUN
fuelectenerg-3144	938	4	,	,	PUNCT
fuelectenerg-3144	938	5	checking	check	VERB
fuelectenerg-3144	938	6	eq	eq	ADP
fuelectenerg-3144	938	7	.	.	PROPN
fuelectenerg-3144	938	8	1	1	NUM
fuelectenerg-3144	938	9	or	or	CCONJ
fuelectenerg-3144	938	10	2	2	NUM
fuelectenerg-3144	938	11	may	may	AUX
fuelectenerg-3144	938	12	involve	involve	VERB
fuelectenerg-3144	938	13	evaluating	evaluate	VERB
fuelectenerg-3144	938	14	ai(i	ai(i	NUM
fuelectenerg-3144	938	15	,	,	PUNCT
fuelectenerg-3144	938	16	i	i	PRON
fuelectenerg-3144	938	17	′	′	VERB
fuelectenerg-3144	938	18	)	)	PUNCT
fuelectenerg-3144	938	19	simultaneously	simultaneously	ADV
fuelectenerg-3144	938	20	for	for	ADP
fuelectenerg-3144	938	21	two	two	NUM
fuelectenerg-3144	938	22	or	or	CCONJ
fuelectenerg-3144	938	23	more	more	ADJ
fuelectenerg-3144	938	24	overlapping	overlap	VERB
fuelectenerg-3144	938	25	pairs	pair	NOUN
fuelectenerg-3144	938	26	of	of	ADP
fuelectenerg-3144	938	27	inputs	input	NOUN
fuelectenerg-3144	938	28	(	(	PUNCT
fuelectenerg-3144	938	29	or	or	CCONJ
fuelectenerg-3144	938	30	states	state	NOUN
fuelectenerg-3144	938	31	)	)	PUNCT
fuelectenerg-3144	938	32	.	.	PUNCT
fuelectenerg-3144	939	1	in	in	ADP
fuelectenerg-3144	939	2	these	these	DET
fuelectenerg-3144	939	3	scenarios	scenario	NOUN
fuelectenerg-3144	939	4	,	,	PUNCT
fuelectenerg-3144	939	5	one	one	PRON
fuelectenerg-3144	939	6	must	must	AUX
fuelectenerg-3144	939	7	construct	construct	VERB
fuelectenerg-3144	939	8	the	the	DET
fuelectenerg-3144	939	9	quantum	quantum	ADJ
fuelectenerg-3144	939	10	circuit	circuit	NOUN
fuelectenerg-3144	939	11	for	for	ADP
fuelectenerg-3144	939	12	checking	check	VERB
fuelectenerg-3144	939	13	eq	eq	ADP
fuelectenerg-3144	939	14	.	.	PROPN
fuelectenerg-3144	939	15	1	1	NUM
fuelectenerg-3144	939	16	or	or	CCONJ
fuelectenerg-3144	939	17	2	2	NUM
fuelectenerg-3144	939	18	using	use	VERB
fuelectenerg-3144	939	19	a	a	DET
fuelectenerg-3144	939	20	slightly	slightly	ADV
fuelectenerg-3144	939	21	different	different	ADJ
fuelectenerg-3144	939	22	design	design	NOUN
fuelectenerg-3144	939	23	.	.	PUNCT
fuelectenerg-3144	940	1	for	for	ADP
fuelectenerg-3144	940	2	example	example	NOUN
fuelectenerg-3144	940	3	,	,	PUNCT
fuelectenerg-3144	940	4	suppose	suppose	VERB
fuelectenerg-3144	940	5	that	that	SCONJ
fuelectenerg-3144	940	6	we	we	PRON
fuelectenerg-3144	940	7	now	now	ADV
fuelectenerg-3144	940	8	wish	wish	VERB
fuelectenerg-3144	940	9	to	to	PART
fuelectenerg-3144	940	10	design	design	VERB
fuelectenerg-3144	940	11	a	a	DET
fuelectenerg-3144	940	12	quantum	quantum	ADJ
fuelectenerg-3144	940	13	circuit	circuit	NOUN
fuelectenerg-3144	940	14	to	to	PART
fuelectenerg-3144	940	15	evaluate	evaluate	VERB
fuelectenerg-3144	940	16	eq	eq	ADP
fuelectenerg-3144	940	17	.	.	PROPN
fuelectenerg-3144	940	18	2	2	NUM
fuelectenerg-3144	940	19	for	for	ADP
fuelectenerg-3144	940	20	the	the	DET
fuelectenerg-3144	940	21	same	same	ADJ
fuelectenerg-3144	940	22	state	state	NOUN
fuelectenerg-3144	940	23	machine	machine	NOUN
fuelectenerg-3144	940	24	and	and	CCONJ
fuelectenerg-3144	940	25	i	i	NOUN
fuelectenerg-3144	940	26	=	=	NOUN
fuelectenerg-3144	940	27	1	1	NUM
fuelectenerg-3144	940	28	,	,	PUNCT
fuelectenerg-3144	940	29	j	j	NOUN
fuelectenerg-3144	941	1	=	=	SYM
fuelectenerg-3144	941	2	2	2	NUM
fuelectenerg-3144	941	3	as	as	ADP
fuelectenerg-3144	941	4	before	before	ADV
fuelectenerg-3144	941	5	,	,	PUNCT
fuelectenerg-3144	941	6	but	but	CCONJ
fuelectenerg-3144	941	7	a	a	DET
fuelectenerg-3144	941	8	different	different	ADJ
fuelectenerg-3144	941	9	pair	pair	NOUN
fuelectenerg-3144	941	10	of	of	ADP
fuelectenerg-3144	941	11	input	input	NOUN
fuelectenerg-3144	941	12	values	value	NOUN
fuelectenerg-3144	941	13	(	(	PUNCT
fuelectenerg-3144	941	14	i1	i1	NOUN
fuelectenerg-3144	941	15	,	,	PUNCT
fuelectenerg-3144	941	16	i3	i3	PROPN
fuelectenerg-3144	941	17	)	)	PUNCT
fuelectenerg-3144	941	18	.	.	PUNCT
fuelectenerg-3144	942	1	the	the	DET
fuelectenerg-3144	942	2	pairs	pair	NOUN
fuelectenerg-3144	942	3	of	of	ADP
fuelectenerg-3144	942	4	next	next	ADJ
fuelectenerg-3144	942	5	states	state	NOUN
fuelectenerg-3144	942	6	corresponding	correspond	VERB
fuelectenerg-3144	942	7	to	to	ADP
fuelectenerg-3144	942	8	current	current	ADJ
fuelectenerg-3144	942	9	states	state	NOUN
fuelectenerg-3144	942	10	of	of	ADP
fuelectenerg-3144	942	11	s1	s1	NOUN
fuelectenerg-3144	942	12	,	,	PUNCT
fuelectenerg-3144	942	13	s2	s2	PROPN
fuelectenerg-3144	942	14	,	,	PUNCT
fuelectenerg-3144	942	15	s3	s3	PROPN
fuelectenerg-3144	942	16	,	,	PUNCT
fuelectenerg-3144	942	17	and	and	CCONJ
fuelectenerg-3144	942	18	s4	s4	PROPN
fuelectenerg-3144	942	19	are	be	AUX
fuelectenerg-3144	942	20	(	(	PUNCT
fuelectenerg-3144	942	21	s2	s2	PROPN
fuelectenerg-3144	942	22	,	,	PUNCT
fuelectenerg-3144	942	23	s2	s2	PROPN
fuelectenerg-3144	942	24	)	)	PUNCT
fuelectenerg-3144	942	25	,	,	PUNCT
fuelectenerg-3144	942	26	(	(	PUNCT
fuelectenerg-3144	942	27	s4	s4	PROPN
fuelectenerg-3144	942	28	,	,	PUNCT
fuelectenerg-3144	942	29	s3	s3	PROPN
fuelectenerg-3144	942	30	)	)	PUNCT
fuelectenerg-3144	942	31	,	,	PUNCT
fuelectenerg-3144	942	32	(	(	PUNCT
fuelectenerg-3144	942	33	s2	s2	PROPN
fuelectenerg-3144	942	34	,	,	PUNCT
fuelectenerg-3144	942	35	s3	s3	PROPN
fuelectenerg-3144	942	36	)	)	PUNCT
fuelectenerg-3144	942	37	,	,	PUNCT
fuelectenerg-3144	942	38	and	and	CCONJ
fuelectenerg-3144	942	39	(	(	PUNCT
fuelectenerg-3144	942	40	s4	s4	PROPN
fuelectenerg-3144	942	41	,	,	PUNCT
fuelectenerg-3144	942	42	s2	s2	PROPN
fuelectenerg-3144	942	43	)	)	PUNCT
fuelectenerg-3144	942	44	,	,	PUNCT
fuelectenerg-3144	942	45	respectively	respectively	ADV
fuelectenerg-3144	942	46	.	.	PUNCT
fuelectenerg-3144	943	1	therefore	therefore	ADV
fuelectenerg-3144	943	2	,	,	PUNCT
fuelectenerg-3144	943	3	the	the	DET
fuelectenerg-3144	943	4	quantum	quantum	NOUN
fuelectenerg-3144	943	5	circuit	circuit	NOUN
fuelectenerg-3144	943	6	must	must	AUX
fuelectenerg-3144	943	7	evaluate	evaluate	VERB
fuelectenerg-3144	943	8	d2(i1	d2(i1	NOUN
fuelectenerg-3144	943	9	,	,	PUNCT
fuelectenerg-3144	943	10	i3	i3	NOUN
fuelectenerg-3144	943	11	)	)	PUNCT
fuelectenerg-3144	943	12	⇒	⇒	PROPN
fuelectenerg-3144	943	13	a1(s4	a1(s4	PROPN
fuelectenerg-3144	943	14	,	,	PUNCT
fuelectenerg-3144	943	15	s3	s3	PROPN
fuelectenerg-3144	943	16	)	)	PUNCT
fuelectenerg-3144	943	17	∧a1(s2	∧a1(s2	NOUN
fuelectenerg-3144	943	18	,	,	PUNCT
fuelectenerg-3144	943	19	s3	s3	PROPN
fuelectenerg-3144	943	20	)	)	PUNCT
fuelectenerg-3144	943	21	∧a1(s4	∧a1(s4	PROPN
fuelectenerg-3144	943	22	,	,	PUNCT
fuelectenerg-3144	943	23	s2	s2	PROPN
fuelectenerg-3144	943	24	)	)	PUNCT
fuelectenerg-3144	943	25	.	.	PUNCT
fuelectenerg-3144	944	1	(	(	PUNCT
fuelectenerg-3144	944	2	6	6	X
fuelectenerg-3144	944	3	)	)	PUNCT
fuelectenerg-3144	944	4	we	we	PRON
fuelectenerg-3144	944	5	then	then	ADV
fuelectenerg-3144	944	6	observe	observe	VERB
fuelectenerg-3144	944	7	that	that	SCONJ
fuelectenerg-3144	944	8	,	,	PUNCT
fuelectenerg-3144	944	9	since	since	SCONJ
fuelectenerg-3144	944	10	the	the	DET
fuelectenerg-3144	944	11	pairs	pair	NOUN
fuelectenerg-3144	944	12	of	of	ADP
fuelectenerg-3144	944	13	states	state	NOUN
fuelectenerg-3144	944	14	on	on	ADP
fuelectenerg-3144	944	15	the	the	DET
fuelectenerg-3144	944	16	right	right	ADJ
fuelectenerg-3144	944	17	-	-	PUNCT
fuelectenerg-3144	944	18	hand	hand	NOUN
fuelectenerg-3144	944	19	side	side	NOUN
fuelectenerg-3144	944	20	overlap	overlap	NOUN
fuelectenerg-3144	944	21	,	,	PUNCT
fuelectenerg-3144	944	22	the	the	DET
fuelectenerg-3144	944	23	entire	entire	ADJ
fuelectenerg-3144	944	24	right	right	ADJ
fuelectenerg-3144	944	25	-	-	PUNCT
fuelectenerg-3144	944	26	hand	hand	NOUN
fuelectenerg-3144	944	27	side	side	NOUN
fuelectenerg-3144	944	28	is	be	AUX
fuelectenerg-3144	944	29	equivalent	equivalent	ADJ
fuelectenerg-3144	944	30	to	to	ADP
fuelectenerg-3144	944	31	the	the	DET
fuelectenerg-3144	944	32	condition	condition	NOUN
fuelectenerg-3144	944	33	that	that	SCONJ
fuelectenerg-3144	944	34	the	the	DET
fuelectenerg-3144	944	35	encodings	encoding	NOUN
fuelectenerg-3144	944	36	of	of	ADP
fuelectenerg-3144	944	37	s2	s2	PROPN
fuelectenerg-3144	944	38	,	,	PUNCT
fuelectenerg-3144	944	39	s3	s3	PROPN
fuelectenerg-3144	944	40	,	,	PUNCT
fuelectenerg-3144	944	41	s4	s4	PROPN
fuelectenerg-3144	944	42	must	must	AUX
fuelectenerg-3144	944	43	all	all	ADV
fuelectenerg-3144	944	44	agree	agree	VERB
fuelectenerg-3144	944	45	in	in	ADP
fuelectenerg-3144	944	46	the	the	DET
fuelectenerg-3144	944	47	value	value	NOUN
fuelectenerg-3144	944	48	of	of	ADP
fuelectenerg-3144	944	49	q1	q1	PROPN
fuelectenerg-3144	944	50	.	.	PUNCT
fuelectenerg-3144	945	1	8	8	NUM
fuelectenerg-3144	945	2	we	we	PRON
fuelectenerg-3144	945	3	denote	denote	VERB
fuelectenerg-3144	945	4	this	this	DET
fuelectenerg-3144	945	5	condition	condition	NOUN
fuelectenerg-3144	945	6	by	by	ADP
fuelectenerg-3144	945	7	a1(s2	a1(s2	PROPN
fuelectenerg-3144	945	8	,	,	PUNCT
fuelectenerg-3144	945	9	s3	s3	PROPN
fuelectenerg-3144	945	10	,	,	PUNCT
fuelectenerg-3144	945	11	s4	s4	PROPN
fuelectenerg-3144	945	12	)	)	PUNCT
fuelectenerg-3144	945	13	,	,	PUNCT
fuelectenerg-3144	945	14	a	a	DET
fuelectenerg-3144	945	15	natural	natural	ADJ
fuelectenerg-3144	945	16	generalization	generalization	NOUN
fuelectenerg-3144	945	17	of	of	ADP
fuelectenerg-3144	945	18	our	our	PRON
fuelectenerg-3144	945	19	earlier	early	ADJ
fuelectenerg-3144	945	20	ai(s	ai(s	NUM
fuelectenerg-3144	945	21	,	,	PUNCT
fuelectenerg-3144	945	22	s	s	NOUN
fuelectenerg-3144	945	23	′	′	NOUN
fuelectenerg-3144	945	24	)	)	PUNCT
fuelectenerg-3144	945	25	notation	notation	NOUN
fuelectenerg-3144	945	26	for	for	ADP
fuelectenerg-3144	945	27	pairs	pair	NOUN
fuelectenerg-3144	945	28	of	of	ADP
fuelectenerg-3144	945	29	states	state	NOUN
fuelectenerg-3144	945	30	.	.	PUNCT
fuelectenerg-3144	946	1	figure	figure	VERB
fuelectenerg-3144	946	2	14	14	NUM
fuelectenerg-3144	946	3	illustrates	illustrate	VERB
fuelectenerg-3144	946	4	the	the	DET
fuelectenerg-3144	946	5	quantum	quantum	ADJ
fuelectenerg-3144	946	6	circuit	circuit	NOUN
fuelectenerg-3144	946	7	for	for	ADP
fuelectenerg-3144	946	8	evaluating	evaluate	VERB
fuelectenerg-3144	946	9	eq	eq	ADP
fuelectenerg-3144	946	10	.	.	PROPN
fuelectenerg-3144	946	11	2	2	NUM
fuelectenerg-3144	946	12	in	in	ADP
fuelectenerg-3144	946	13	this	this	DET
fuelectenerg-3144	946	14	case	case	NOUN
fuelectenerg-3144	946	15	.	.	PUNCT
fuelectenerg-3144	947	1	the	the	DET
fuelectenerg-3144	947	2	critical	critical	ADJ
fuelectenerg-3144	947	3	difference	difference	NOUN
fuelectenerg-3144	947	4	between	between	ADP
fuelectenerg-3144	947	5	figures	figure	NOUN
fuelectenerg-3144	947	6	13	13	NUM
fuelectenerg-3144	947	7	and	and	CCONJ
fuelectenerg-3144	947	8	14	14	NUM
fuelectenerg-3144	947	9	is	be	AUX
fuelectenerg-3144	947	10	that	that	SCONJ
fuelectenerg-3144	947	11	the	the	DET
fuelectenerg-3144	947	12	feynman	feynman	PROPN
fuelectenerg-3144	947	13	gates	gate	NOUN
fuelectenerg-3144	947	14	in	in	ADP
fuelectenerg-3144	947	15	the	the	DET
fuelectenerg-3144	947	16	upper	upper	ADJ
fuelectenerg-3144	947	17	portion	portion	NOUN
fuelectenerg-3144	947	18	of	of	ADP
fuelectenerg-3144	947	19	figure	figure	NOUN
fuelectenerg-3144	947	20	14	14	NUM
fuelectenerg-3144	947	21	operate	operate	NOUN
fuelectenerg-3144	947	22	on	on	ADP
fuelectenerg-3144	947	23	the	the	DET
fuelectenerg-3144	947	24	encodings	encoding	NOUN
fuelectenerg-3144	947	25	of	of	ADP
fuelectenerg-3144	947	26	overlapping	overlap	VERB
fuelectenerg-3144	947	27	pairs	pair	NOUN
fuelectenerg-3144	947	28	of	of	ADP
fuelectenerg-3144	947	29	states	state	NOUN
fuelectenerg-3144	947	30	,	,	PUNCT
fuelectenerg-3144	947	31	and	and	CCONJ
fuelectenerg-3144	947	32	must	must	AUX
fuelectenerg-3144	947	33	therefore	therefore	ADV
fuelectenerg-3144	947	34	be	be	AUX
fuelectenerg-3144	947	35	applied	apply	VERB
fuelectenerg-3144	947	36	in	in	ADP
fuelectenerg-3144	947	37	the	the	DET
fuelectenerg-3144	947	38	correct	correct	ADJ
fuelectenerg-3144	947	39	order	order	NOUN
fuelectenerg-3144	947	40	.	.	PUNCT
fuelectenerg-3144	948	1	additionally	additionally	ADV
fuelectenerg-3144	948	2	,	,	PUNCT
fuelectenerg-3144	948	3	although	although	SCONJ
fuelectenerg-3144	948	4	the	the	DET
fuelectenerg-3144	948	5	right	right	ADJ
fuelectenerg-3144	948	6	-	-	PUNCT
fuelectenerg-3144	948	7	hand	hand	NOUN
fuelectenerg-3144	948	8	side	side	NOUN
fuelectenerg-3144	948	9	of	of	ADP
fuelectenerg-3144	948	10	eq	eq	PROPN
fuelectenerg-3144	948	11	.	.	PROPN
fuelectenerg-3144	948	12	6	6	NUM
fuelectenerg-3144	948	13	contains	contain	VERB
fuelectenerg-3144	948	14	the	the	DET
fuelectenerg-3144	948	15	term	term	NOUN
fuelectenerg-3144	948	16	a1(s4	a1(s4	NOUN
fuelectenerg-3144	948	17	,	,	PUNCT
fuelectenerg-3144	948	18	s2	s2	PROPN
fuelectenerg-3144	948	19	)	)	PUNCT
fuelectenerg-3144	948	20	,	,	PUNCT
fuelectenerg-3144	948	21	the	the	DET
fuelectenerg-3144	948	22	circuit	circuit	NOUN
fuelectenerg-3144	948	23	in	in	ADP
fuelectenerg-3144	948	24	figure	figure	NOUN
fuelectenerg-3144	948	25	14	14	NUM
fuelectenerg-3144	948	26	does	do	AUX
fuelectenerg-3144	948	27	not	not	PART
fuelectenerg-3144	948	28	contain	contain	VERB
fuelectenerg-3144	948	29	a	a	DET
fuelectenerg-3144	948	30	corresponding	corresponding	ADJ
fuelectenerg-3144	948	31	feynman	feynman	PROPN
fuelectenerg-3144	948	32	gate	gate	PROPN
fuelectenerg-3144	948	33	to	to	PART
fuelectenerg-3144	948	34	evaluate	evaluate	VERB
fuelectenerg-3144	948	35	this	this	DET
fuelectenerg-3144	948	36	term	term	NOUN
fuelectenerg-3144	948	37	.	.	PUNCT
fuelectenerg-3144	949	1	such	such	DET
fuelectenerg-3144	949	2	a	a	DET
fuelectenerg-3144	949	3	gate	gate	NOUN
fuelectenerg-3144	949	4	is	be	AUX
fuelectenerg-3144	949	5	unnecessary	unnecessary	ADJ
fuelectenerg-3144	949	6	because	because	SCONJ
fuelectenerg-3144	949	7	of	of	ADP
fuelectenerg-3144	949	8	transitivity	transitivity	NOUN
fuelectenerg-3144	949	9	—	—	PUNCT
fuelectenerg-3144	949	10	it	it	PRON
fuelectenerg-3144	949	11	is	be	AUX
fuelectenerg-3144	949	12	enough	enough	ADJ
fuelectenerg-3144	949	13	to	to	PART
fuelectenerg-3144	949	14	check	check	VERB
fuelectenerg-3144	949	15	both	both	PRON
fuelectenerg-3144	949	16	a1(s2	a1(s2	NOUN
fuelectenerg-3144	949	17	,	,	PUNCT
fuelectenerg-3144	949	18	s3	s3	PROPN
fuelectenerg-3144	949	19	)	)	PUNCT
fuelectenerg-3144	949	20	and	and	CCONJ
fuelectenerg-3144	949	21	a1(s3	a1(s3	NOUN
fuelectenerg-3144	949	22	,	,	PUNCT
fuelectenerg-3144	949	23	s4	s4	PROPN
fuelectenerg-3144	949	24	)	)	PUNCT
fuelectenerg-3144	949	25	since	since	SCONJ
fuelectenerg-3144	949	26	they	they	PRON
fuelectenerg-3144	949	27	are	be	AUX
fuelectenerg-3144	949	28	together	together	ADV
fuelectenerg-3144	949	29	equivalent	equivalent	ADJ
fuelectenerg-3144	949	30	to	to	ADP
fuelectenerg-3144	949	31	a1(s2	a1(s2	PROPN
fuelectenerg-3144	949	32	,	,	PUNCT
fuelectenerg-3144	949	33	s3	s3	PROPN
fuelectenerg-3144	949	34	,	,	PUNCT
fuelectenerg-3144	949	35	s4	s4	PROPN
fuelectenerg-3144	949	36	)	)	PUNCT
fuelectenerg-3144	949	37	,	,	PUNCT
fuelectenerg-3144	949	38	which	which	PRON
fuelectenerg-3144	949	39	implies	imply	VERB
fuelectenerg-3144	949	40	a1(s4	a1(s4	NOUN
fuelectenerg-3144	949	41	,	,	PUNCT
fuelectenerg-3144	949	42	s2	s2	PROPN
fuelectenerg-3144	949	43	)	)	PUNCT
fuelectenerg-3144	949	44	.	.	PUNCT
fuelectenerg-3144	950	1	more	more	ADV
fuelectenerg-3144	950	2	generally	generally	ADV
fuelectenerg-3144	950	3	,	,	PUNCT
fuelectenerg-3144	950	4	one	one	PRON
fuelectenerg-3144	950	5	can	can	AUX
fuelectenerg-3144	950	6	construct	construct	VERB
fuelectenerg-3144	950	7	similar	similar	ADJ
fuelectenerg-3144	950	8	circuits	circuit	NOUN
fuelectenerg-3144	950	9	to	to	PART
fuelectenerg-3144	950	10	evaluate	evaluate	VERB
fuelectenerg-3144	950	11	ai(s	ai(s	PRON
fuelectenerg-3144	950	12	,	,	PUNCT
fuelectenerg-3144	950	13	s	s	NOUN
fuelectenerg-3144	950	14	′	′	NOUN
fuelectenerg-3144	950	15	)	)	PUNCT
fuelectenerg-3144	950	16	for	for	ADP
fuelectenerg-3144	950	17	any	any	DET
fuelectenerg-3144	950	18	number	number	NOUN
fuelectenerg-3144	950	19	of	of	ADP
fuelectenerg-3144	950	20	overlapping	overlap	VERB
fuelectenerg-3144	950	21	pairs	pair	NOUN
fuelectenerg-3144	950	22	of	of	ADP
fuelectenerg-3144	950	23	states	state	NOUN
fuelectenerg-3144	950	24	.	.	PUNCT
fuelectenerg-3144	951	1	one	one	NUM
fuelectenerg-3144	951	2	simply	simply	ADV
fuelectenerg-3144	951	3	takes	take	VERB
fuelectenerg-3144	951	4	the	the	DET
fuelectenerg-3144	951	5	union	union	NOUN
fuelectenerg-3144	951	6	of	of	ADP
fuelectenerg-3144	951	7	all	all	DET
fuelectenerg-3144	951	8	such	such	ADJ
fuelectenerg-3144	951	9	pairs	pair	NOUN
fuelectenerg-3144	951	10	to	to	PART
fuelectenerg-3144	951	11	obtain	obtain	VERB
fuelectenerg-3144	951	12	an	an	DET
fuelectenerg-3144	951	13	arbitrarily	arbitrarily	ADV
fuelectenerg-3144	951	14	-	-	PUNCT
fuelectenerg-3144	951	15	sized	sized	ADJ
fuelectenerg-3144	951	16	set	set	NOUN
fuelectenerg-3144	951	17	of	of	ADP
fuelectenerg-3144	951	18	states	state	NOUN
fuelectenerg-3144	951	19	and	and	CCONJ
fuelectenerg-3144	951	20	then	then	ADV
fuelectenerg-3144	951	21	constructs	construct	VERB
fuelectenerg-3144	951	22	a	a	DET
fuelectenerg-3144	951	23	quantum	quantum	ADJ
fuelectenerg-3144	951	24	circuit	circuit	NOUN
fuelectenerg-3144	951	25	according	accord	VERB
fuelectenerg-3144	951	26	to	to	ADP
fuelectenerg-3144	951	27	the	the	DET
fuelectenerg-3144	951	28	pattern	pattern	NOUN
fuelectenerg-3144	951	29	shown	show	VERB
fuelectenerg-3144	951	30	in	in	ADP
fuelectenerg-3144	951	31	figure	figure	NOUN
fuelectenerg-3144	951	32	15(a	15(a	NUM
fuelectenerg-3144	951	33	)	)	PUNCT
fuelectenerg-3144	951	34	.	.	PUNCT
fuelectenerg-3144	952	1	8for	8for	ADP
fuelectenerg-3144	952	2	this	this	DET
fuelectenerg-3144	952	3	particular	particular	ADJ
fuelectenerg-3144	952	4	example	example	NOUN
fuelectenerg-3144	952	5	,	,	PUNCT
fuelectenerg-3144	952	6	this	this	DET
fuelectenerg-3144	952	7	condition	condition	NOUN
fuelectenerg-3144	952	8	is	be	AUX
fuelectenerg-3144	952	9	impossible	impossible	ADJ
fuelectenerg-3144	952	10	because	because	SCONJ
fuelectenerg-3144	952	11	,	,	PUNCT
fuelectenerg-3144	952	12	since	since	SCONJ
fuelectenerg-3144	952	13	we	we	PRON
fuelectenerg-3144	952	14	require	require	VERB
fuelectenerg-3144	952	15	encodings	encoding	NOUN
fuelectenerg-3144	952	16	to	to	PART
fuelectenerg-3144	952	17	be	be	AUX
fuelectenerg-3144	952	18	bijective	bijective	ADJ
fuelectenerg-3144	952	19	,	,	PUNCT
fuelectenerg-3144	952	20	the	the	DET
fuelectenerg-3144	952	21	encodings	encoding	NOUN
fuelectenerg-3144	952	22	of	of	ADP
fuelectenerg-3144	952	23	at	at	ADP
fuelectenerg-3144	952	24	most	most	ADV
fuelectenerg-3144	952	25	two	two	NUM
fuelectenerg-3144	952	26	states	state	NOUN
fuelectenerg-3144	952	27	can	can	AUX
fuelectenerg-3144	952	28	agree	agree	VERB
fuelectenerg-3144	952	29	in	in	ADP
fuelectenerg-3144	952	30	the	the	DET
fuelectenerg-3144	952	31	value	value	NOUN
fuelectenerg-3144	952	32	of	of	ADP
fuelectenerg-3144	952	33	q1	q1	PROPN
fuelectenerg-3144	952	34	.	.	PUNCT
fuelectenerg-3144	953	1	however	however	ADV
fuelectenerg-3144	953	2	,	,	PUNCT
fuelectenerg-3144	953	3	this	this	DET
fuelectenerg-3144	953	4	condition	condition	NOUN
fuelectenerg-3144	953	5	could	could	AUX
fuelectenerg-3144	953	6	be	be	AUX
fuelectenerg-3144	953	7	satisfied	satisfied	ADJ
fuelectenerg-3144	953	8	in	in	ADP
fuelectenerg-3144	953	9	an	an	DET
fuelectenerg-3144	953	10	fsm	fsm	NOUN
fuelectenerg-3144	953	11	with	with	ADP
fuelectenerg-3144	953	12	more	more	ADJ
fuelectenerg-3144	953	13	states	state	NOUN
fuelectenerg-3144	953	14	.	.	PUNCT
fuelectenerg-3144	954	1	26	26	NUM
fuelectenerg-3144	954	2	q1(s1	q1(s1	NOUN
fuelectenerg-3144	954	3	)	)	PUNCT
fuelectenerg-3144	954	4	q2(s1	q2(s1	ADJ
fuelectenerg-3144	954	5	)	)	PUNCT
fuelectenerg-3144	954	6	q1(s2	q1(s2	NOUN
fuelectenerg-3144	954	7	)	)	PUNCT
fuelectenerg-3144	954	8	q2(s2	q2(s2	NOUN
fuelectenerg-3144	954	9	)	)	PUNCT
fuelectenerg-3144	954	10	q1(s3	q1(s3	NOUN
fuelectenerg-3144	954	11	)	)	PUNCT
fuelectenerg-3144	954	12	q2(s3	q2(s3	PROPN
fuelectenerg-3144	954	13	)	)	PUNCT
fuelectenerg-3144	954	14	q1(s4	q1(s4	PROPN
fuelectenerg-3144	954	15	)	)	PUNCT
fuelectenerg-3144	954	16	q2(s4	q2(s4	PROPN
fuelectenerg-3144	954	17	)	)	PUNCT
fuelectenerg-3144	954	18	x1(i1	x1(i1	PROPN
fuelectenerg-3144	954	19	)	)	PUNCT
fuelectenerg-3144	954	20	x2(i1	x2(i1	PROPN
fuelectenerg-3144	954	21	)	)	PUNCT
fuelectenerg-3144	954	22	x1(i3	x1(i3	NOUN
fuelectenerg-3144	954	23	)	)	PUNCT
fuelectenerg-3144	954	24	x2(i3	x2(i3	PROPN
fuelectenerg-3144	954	25	)	)	PUNCT
fuelectenerg-3144	954	26	x1(i4	x1(i4	PROPN
fuelectenerg-3144	954	27	)	)	PUNCT
fuelectenerg-3144	954	28	x2(i4	x2(i4	PROPN
fuelectenerg-3144	954	29	)	)	PUNCT
fuelectenerg-3144	954	30	x2(i2	x2(i2	NOUN
fuelectenerg-3144	954	31	)	)	PUNCT
fuelectenerg-3144	954	32	x1(i2	x1(i2	NUM
fuelectenerg-3144	954	33	)	)	PUNCT
fuelectenerg-3144	954	34	|0	|0	NUM
fuelectenerg-3144	954	35	〉	〉	NUM
fuelectenerg-3144	954	36	|0	|0	NUM
fuelectenerg-3144	954	37	〉	〉	PROPN
fuelectenerg-3144	954	38	|1	|1	X
fuelectenerg-3144	954	39	〉	〉	PROPN
fuelectenerg-3144	954	40	a1(s1	a1(s1	NOUN
fuelectenerg-3144	954	41	,	,	PUNCT
fuelectenerg-3144	954	42	s4	s4	NOUN
fuelectenerg-3144	954	43	)	)	PUNCT
fuelectenerg-3144	954	44	∧a1(s2	∧a1(s2	NOUN
fuelectenerg-3144	954	45	,	,	PUNCT
fuelectenerg-3144	954	46	s3	s3	PROPN
fuelectenerg-3144	954	47	)	)	PUNCT
fuelectenerg-3144	954	48	d2(i1	d2(i1	NOUN
fuelectenerg-3144	954	49	,	,	PUNCT
fuelectenerg-3144	954	50	i2	i2	PROPN
fuelectenerg-3144	954	51	)	)	PUNCT
fuelectenerg-3144	954	52	d2(i1	d2(i1	NOUN
fuelectenerg-3144	954	53	,	,	PUNCT
fuelectenerg-3144	954	54	i2	i2	PROPN
fuelectenerg-3144	954	55	)	)	PUNCT
fuelectenerg-3144	954	56	⇒	⇒	PROPN
fuelectenerg-3144	954	57	a1(s1	a1(s1	NOUN
fuelectenerg-3144	954	58	,	,	PUNCT
fuelectenerg-3144	954	59	s4	s4	NOUN
fuelectenerg-3144	954	60	)	)	PUNCT
fuelectenerg-3144	954	61	∧a1(s2	∧a1(s2	NOUN
fuelectenerg-3144	954	62	,	,	PUNCT
fuelectenerg-3144	954	63	s3	s3	NOUN
fuelectenerg-3144	954	64	)	)	PUNCT
fuelectenerg-3144	954	65	figure	figure	NOUN
fuelectenerg-3144	954	66	13	13	NUM
fuelectenerg-3144	954	67	:	:	PUNCT
fuelectenerg-3144	954	68	quantum	quantum	ADJ
fuelectenerg-3144	954	69	circuit	circuit	NOUN
fuelectenerg-3144	954	70	to	to	PART
fuelectenerg-3144	954	71	evaluate	evaluate	VERB
fuelectenerg-3144	954	72	eq	eq	ADP
fuelectenerg-3144	954	73	.	.	PROPN
fuelectenerg-3144	954	74	2	2	NUM
fuelectenerg-3144	954	75	for	for	ADP
fuelectenerg-3144	954	76	input	input	NOUN
fuelectenerg-3144	954	77	pair	pair	NOUN
fuelectenerg-3144	954	78	(	(	PUNCT
fuelectenerg-3144	954	79	i1	i1	PROPN
fuelectenerg-3144	954	80	,	,	PUNCT
fuelectenerg-3144	954	81	i2	i2	PROPN
fuelectenerg-3144	954	82	)	)	PUNCT
fuelectenerg-3144	954	83	.	.	PUNCT
fuelectenerg-3144	955	1	27	27	NUM
fuelectenerg-3144	955	2	194	194	NUM
fuelectenerg-3144	955	3	e.	e.	PROPN
fuelectenerg-3144	955	4	tsai	tsai	PROPN
fuelectenerg-3144	955	5	,	,	PUNCT
fuelectenerg-3144	955	6	m.	m.	PROPN
fuelectenerg-3144	955	7	perkowski	perkowski	PROPN
fuelectenerg-3144	955	8	a	a	DET
fuelectenerg-3144	955	9	quantum	quantum	ADJ
fuelectenerg-3144	955	10	algorithm	algorithm	NOUN
fuelectenerg-3144	955	11	for	for	ADP
fuelectenerg-3144	955	12	automata	automata	NOUN
fuelectenerg-3144	955	13	encoding	encode	VERB
fuelectenerg-3144	955	14	195	195	NUM
fuelectenerg-3144	955	15	many	many	ADJ
fuelectenerg-3144	955	16	pairs	pair	NOUN
fuelectenerg-3144	955	17	of	of	ADP
fuelectenerg-3144	955	18	states	state	NOUN
fuelectenerg-3144	955	19	.	.	PUNCT
fuelectenerg-3144	956	1	for	for	ADP
fuelectenerg-3144	956	2	instance	instance	NOUN
fuelectenerg-3144	956	3	,	,	PUNCT
fuelectenerg-3144	956	4	consider	consider	VERB
fuelectenerg-3144	956	5	the	the	DET
fuelectenerg-3144	956	6	state	state	NOUN
fuelectenerg-3144	956	7	machine	machine	NOUN
fuelectenerg-3144	956	8	from	from	ADP
fuelectenerg-3144	956	9	figure	figure	NOUN
fuelectenerg-3144	956	10	2	2	NUM
fuelectenerg-3144	956	11	,	,	PUNCT
fuelectenerg-3144	956	12	and	and	CCONJ
fuelectenerg-3144	956	13	suppose	suppose	VERB
fuelectenerg-3144	956	14	that	that	SCONJ
fuelectenerg-3144	956	15	we	we	PRON
fuelectenerg-3144	956	16	wish	wish	VERB
fuelectenerg-3144	956	17	to	to	PART
fuelectenerg-3144	956	18	design	design	VERB
fuelectenerg-3144	956	19	a	a	DET
fuelectenerg-3144	956	20	quantum	quantum	ADJ
fuelectenerg-3144	956	21	circuit	circuit	NOUN
fuelectenerg-3144	956	22	to	to	PART
fuelectenerg-3144	956	23	evaluate	evaluate	VERB
fuelectenerg-3144	956	24	eq	eq	ADP
fuelectenerg-3144	956	25	.	.	PROPN
fuelectenerg-3144	956	26	2	2	NUM
fuelectenerg-3144	956	27	for	for	ADP
fuelectenerg-3144	956	28	i	i	PRON
fuelectenerg-3144	956	29	=	=	NOUN
fuelectenerg-3144	956	30	1	1	NUM
fuelectenerg-3144	956	31	,	,	PUNCT
fuelectenerg-3144	956	32	j	j	PROPN
fuelectenerg-3144	956	33	=	=	SYM
fuelectenerg-3144	956	34	2	2	NUM
fuelectenerg-3144	956	35	,	,	PUNCT
fuelectenerg-3144	956	36	and	and	CCONJ
fuelectenerg-3144	956	37	the	the	DET
fuelectenerg-3144	956	38	pair	pair	NOUN
fuelectenerg-3144	956	39	of	of	ADP
fuelectenerg-3144	956	40	input	input	NOUN
fuelectenerg-3144	956	41	values	value	NOUN
fuelectenerg-3144	956	42	(	(	PUNCT
fuelectenerg-3144	956	43	i	i	NOUN
fuelectenerg-3144	956	44	,	,	PUNCT
fuelectenerg-3144	956	45	i′	i′	NOUN
fuelectenerg-3144	956	46	)	)	PUNCT
fuelectenerg-3144	957	1	=	=	SYM
fuelectenerg-3144	957	2	(	(	PUNCT
fuelectenerg-3144	957	3	i1	i1	PROPN
fuelectenerg-3144	957	4	,	,	PUNCT
fuelectenerg-3144	957	5	i2	i2	PROPN
fuelectenerg-3144	957	6	)	)	PUNCT
fuelectenerg-3144	957	7	.	.	PUNCT
fuelectenerg-3144	958	1	the	the	DET
fuelectenerg-3144	958	2	circuit	circuit	NOUN
fuelectenerg-3144	958	3	must	must	AUX
fuelectenerg-3144	958	4	then	then	ADV
fuelectenerg-3144	958	5	check	check	VERB
fuelectenerg-3144	958	6	whether	whether	SCONJ
fuelectenerg-3144	958	7	a1(δ(s	a1(δ(s	PROPN
fuelectenerg-3144	958	8	,	,	PUNCT
fuelectenerg-3144	958	9	i	i	NOUN
fuelectenerg-3144	958	10	)	)	PUNCT
fuelectenerg-3144	958	11	,	,	PUNCT
fuelectenerg-3144	958	12	δ(s	δ(s	PROPN
fuelectenerg-3144	958	13	,	,	PUNCT
fuelectenerg-3144	958	14	i	i	PRON
fuelectenerg-3144	958	15	′	′	NOUN
fuelectenerg-3144	958	16	)	)	PUNCT
fuelectenerg-3144	958	17	)	)	PUNCT
fuelectenerg-3144	959	1	holds	hold	VERB
fuelectenerg-3144	959	2	for	for	ADP
fuelectenerg-3144	959	3	all	all	DET
fuelectenerg-3144	959	4	states	state	NOUN
fuelectenerg-3144	959	5	s.	s.	PROPN
fuelectenerg-3144	959	6	in	in	ADP
fuelectenerg-3144	959	7	this	this	DET
fuelectenerg-3144	959	8	case	case	NOUN
fuelectenerg-3144	959	9	,	,	PUNCT
fuelectenerg-3144	959	10	given	give	VERB
fuelectenerg-3144	959	11	i	i	PROPN
fuelectenerg-3144	959	12	=	=	PROPN
fuelectenerg-3144	959	13	i1	i1	PROPN
fuelectenerg-3144	959	14	and	and	CCONJ
fuelectenerg-3144	959	15	i′	i′	NOUN
fuelectenerg-3144	959	16	=	=	SYM
fuelectenerg-3144	959	17	i2	i2	PROPN
fuelectenerg-3144	959	18	,	,	PUNCT
fuelectenerg-3144	959	19	the	the	DET
fuelectenerg-3144	959	20	corresponding	correspond	VERB
fuelectenerg-3144	959	21	pairs	pair	NOUN
fuelectenerg-3144	959	22	(	(	PUNCT
fuelectenerg-3144	959	23	δ(s	δ(s	PROPN
fuelectenerg-3144	959	24	,	,	PUNCT
fuelectenerg-3144	959	25	i	i	NOUN
fuelectenerg-3144	959	26	)	)	PUNCT
fuelectenerg-3144	959	27	,	,	PUNCT
fuelectenerg-3144	959	28	δ(s	δ(s	PROPN
fuelectenerg-3144	959	29	,	,	PUNCT
fuelectenerg-3144	959	30	i′	i′	NOUN
fuelectenerg-3144	959	31	)	)	PUNCT
fuelectenerg-3144	959	32	)	)	PUNCT
fuelectenerg-3144	959	33	of	of	ADP
fuelectenerg-3144	959	34	next	next	ADJ
fuelectenerg-3144	959	35	states	state	NOUN
fuelectenerg-3144	959	36	are	be	AUX
fuelectenerg-3144	959	37	(	(	PUNCT
fuelectenerg-3144	959	38	s2	s2	PROPN
fuelectenerg-3144	959	39	,	,	PUNCT
fuelectenerg-3144	959	40	s2	s2	PROPN
fuelectenerg-3144	959	41	)	)	PUNCT
fuelectenerg-3144	959	42	,	,	PUNCT
fuelectenerg-3144	959	43	(	(	PUNCT
fuelectenerg-3144	959	44	s4	s4	PROPN
fuelectenerg-3144	959	45	,	,	PUNCT
fuelectenerg-3144	959	46	s1	s1	NOUN
fuelectenerg-3144	959	47	)	)	PUNCT
fuelectenerg-3144	959	48	,	,	PUNCT
fuelectenerg-3144	959	49	(	(	PUNCT
fuelectenerg-3144	959	50	s2	s2	PROPN
fuelectenerg-3144	959	51	,	,	PUNCT
fuelectenerg-3144	959	52	s3	s3	PROPN
fuelectenerg-3144	959	53	)	)	PUNCT
fuelectenerg-3144	959	54	,	,	PUNCT
fuelectenerg-3144	959	55	and	and	CCONJ
fuelectenerg-3144	959	56	(	(	PUNCT
fuelectenerg-3144	959	57	s4	s4	PROPN
fuelectenerg-3144	959	58	,	,	PUNCT
fuelectenerg-3144	959	59	s4	s4	PROPN
fuelectenerg-3144	959	60	)	)	PUNCT
fuelectenerg-3144	959	61	for	for	ADP
fuelectenerg-3144	959	62	s	s	NOUN
fuelectenerg-3144	959	63	=	=	SYM
fuelectenerg-3144	959	64	s1	s1	PROPN
fuelectenerg-3144	959	65	,	,	PUNCT
fuelectenerg-3144	959	66	s2	s2	PROPN
fuelectenerg-3144	959	67	,	,	PUNCT
fuelectenerg-3144	959	68	s3	s3	PROPN
fuelectenerg-3144	959	69	,	,	PUNCT
fuelectenerg-3144	959	70	and	and	CCONJ
fuelectenerg-3144	959	71	s4	s4	PROPN
fuelectenerg-3144	959	72	,	,	PUNCT
fuelectenerg-3144	959	73	respectively	respectively	ADV
fuelectenerg-3144	959	74	.	.	PUNCT
fuelectenerg-3144	960	1	since	since	SCONJ
fuelectenerg-3144	960	2	a1(s2	a1(s2	NOUN
fuelectenerg-3144	960	3	,	,	PUNCT
fuelectenerg-3144	960	4	s2	s2	PROPN
fuelectenerg-3144	960	5	)	)	PUNCT
fuelectenerg-3144	960	6	and	and	CCONJ
fuelectenerg-3144	960	7	a1(s4	a1(s4	PROPN
fuelectenerg-3144	960	8	,	,	PUNCT
fuelectenerg-3144	960	9	s4	s4	PROPN
fuelectenerg-3144	960	10	)	)	PUNCT
fuelectenerg-3144	960	11	are	be	AUX
fuelectenerg-3144	960	12	trivially	trivially	ADV
fuelectenerg-3144	960	13	true	true	ADJ
fuelectenerg-3144	960	14	,	,	PUNCT
fuelectenerg-3144	960	15	we	we	PRON
fuelectenerg-3144	960	16	can	can	AUX
fuelectenerg-3144	960	17	ignore	ignore	VERB
fuelectenerg-3144	960	18	them	they	PRON
fuelectenerg-3144	960	19	.	.	PUNCT
fuelectenerg-3144	961	1	thus	thus	ADV
fuelectenerg-3144	961	2	,	,	PUNCT
fuelectenerg-3144	961	3	the	the	DET
fuelectenerg-3144	961	4	quantum	quantum	NOUN
fuelectenerg-3144	961	5	circuit	circuit	NOUN
fuelectenerg-3144	961	6	must	must	AUX
fuelectenerg-3144	961	7	check	check	VERB
fuelectenerg-3144	961	8	whether	whether	SCONJ
fuelectenerg-3144	961	9	a1(s4	a1(s4	NOUN
fuelectenerg-3144	961	10	,	,	PUNCT
fuelectenerg-3144	961	11	s1	s1	NOUN
fuelectenerg-3144	961	12	)	)	PUNCT
fuelectenerg-3144	961	13	and	and	CCONJ
fuelectenerg-3144	961	14	a1(s2	a1(s2	NOUN
fuelectenerg-3144	961	15	,	,	PUNCT
fuelectenerg-3144	961	16	s3	s3	PROPN
fuelectenerg-3144	961	17	)	)	PUNCT
fuelectenerg-3144	961	18	simultaneously	simultaneously	ADV
fuelectenerg-3144	961	19	hold	hold	VERB
fuelectenerg-3144	961	20	.	.	PUNCT
fuelectenerg-3144	962	1	the	the	DET
fuelectenerg-3144	962	2	upper	upper	ADJ
fuelectenerg-3144	962	3	portion	portion	NOUN
fuelectenerg-3144	962	4	of	of	ADP
fuelectenerg-3144	962	5	figure	figure	NOUN
fuelectenerg-3144	962	6	13	13	NUM
fuelectenerg-3144	962	7	demonstrates	demonstrate	VERB
fuelectenerg-3144	962	8	a	a	DET
fuelectenerg-3144	962	9	subcircuit	subcircuit	NOUN
fuelectenerg-3144	962	10	that	that	PRON
fuelectenerg-3144	962	11	accomplishes	accomplish	VERB
fuelectenerg-3144	962	12	this	this	DET
fuelectenerg-3144	962	13	task	task	NOUN
fuelectenerg-3144	962	14	.	.	PUNCT
fuelectenerg-3144	963	1	the	the	DET
fuelectenerg-3144	963	2	lower	low	ADJ
fuelectenerg-3144	963	3	portion	portion	NOUN
fuelectenerg-3144	963	4	of	of	ADP
fuelectenerg-3144	963	5	figure	figure	NOUN
fuelectenerg-3144	963	6	13	13	NUM
fuelectenerg-3144	963	7	then	then	ADV
fuelectenerg-3144	963	8	combines	combine	VERB
fuelectenerg-3144	963	9	this	this	DET
fuelectenerg-3144	963	10	subcircuit	subcircuit	NOUN
fuelectenerg-3144	963	11	with	with	ADP
fuelectenerg-3144	963	12	another	another	DET
fuelectenerg-3144	963	13	subcircuit	subcircuit	NOUN
fuelectenerg-3144	963	14	(	(	PUNCT
fuelectenerg-3144	963	15	from	from	ADP
fuelectenerg-3144	963	16	figure	figure	NOUN
fuelectenerg-3144	963	17	11(b	11(b	NUM
fuelectenerg-3144	963	18	)	)	PUNCT
fuelectenerg-3144	963	19	)	)	PUNCT
fuelectenerg-3144	963	20	to	to	PART
fuelectenerg-3144	963	21	evaluate	evaluate	VERB
fuelectenerg-3144	963	22	the	the	DET
fuelectenerg-3144	963	23	full	full	ADJ
fuelectenerg-3144	963	24	eq	eq	NOUN
fuelectenerg-3144	963	25	.	.	PROPN
fuelectenerg-3144	963	26	2	2	X
fuelectenerg-3144	963	27	.	.	X
fuelectenerg-3144	964	1	in	in	ADP
fuelectenerg-3144	964	2	other	other	ADJ
fuelectenerg-3144	964	3	words	word	NOUN
fuelectenerg-3144	964	4	,	,	PUNCT
fuelectenerg-3144	964	5	the	the	DET
fuelectenerg-3144	964	6	final	final	ADJ
fuelectenerg-3144	964	7	output	output	NOUN
fuelectenerg-3144	964	8	of	of	ADP
fuelectenerg-3144	964	9	this	this	DET
fuelectenerg-3144	964	10	circuit	circuit	NOUN
fuelectenerg-3144	964	11	,	,	PUNCT
fuelectenerg-3144	964	12	on	on	ADP
fuelectenerg-3144	964	13	the	the	DET
fuelectenerg-3144	964	14	bottommost	bottommost	ADJ
fuelectenerg-3144	964	15	qubit	qubit	NOUN
fuelectenerg-3144	964	16	,	,	PUNCT
fuelectenerg-3144	964	17	will	will	AUX
fuelectenerg-3144	964	18	be	be	AUX
fuelectenerg-3144	964	19	1	1	NUM
fuelectenerg-3144	964	20	if	if	SCONJ
fuelectenerg-3144	964	21	eq	eq	ADJ
fuelectenerg-3144	964	22	.	.	NOUN
fuelectenerg-3144	964	23	2	2	NUM
fuelectenerg-3144	964	24	is	be	AUX
fuelectenerg-3144	964	25	satisfied	satisfied	ADJ
fuelectenerg-3144	964	26	,	,	PUNCT
fuelectenerg-3144	964	27	and	and	CCONJ
fuelectenerg-3144	964	28	0	0	NUM
fuelectenerg-3144	964	29	if	if	SCONJ
fuelectenerg-3144	964	30	it	it	PRON
fuelectenerg-3144	964	31	is	be	AUX
fuelectenerg-3144	964	32	not	not	PART
fuelectenerg-3144	964	33	.	.	PUNCT
fuelectenerg-3144	965	1	we	we	PRON
fuelectenerg-3144	965	2	reiterate	reiterate	VERB
fuelectenerg-3144	965	3	that	that	SCONJ
fuelectenerg-3144	965	4	for	for	ADP
fuelectenerg-3144	965	5	an	an	DET
fuelectenerg-3144	965	6	fsm	fsm	NOUN
fuelectenerg-3144	965	7	with	with	ADP
fuelectenerg-3144	965	8	more	more	ADJ
fuelectenerg-3144	965	9	than	than	ADP
fuelectenerg-3144	965	10	four	four	NUM
fuelectenerg-3144	965	11	input	input	NOUN
fuelectenerg-3144	965	12	values	value	NOUN
fuelectenerg-3144	965	13	(	(	PUNCT
fuelectenerg-3144	965	14	so	so	SCONJ
fuelectenerg-3144	965	15	that	that	SCONJ
fuelectenerg-3144	965	16	each	each	DET
fuelectenerg-3144	965	17	input	input	NOUN
fuelectenerg-3144	965	18	value	value	NOUN
fuelectenerg-3144	965	19	is	be	AUX
fuelectenerg-3144	965	20	encoded	encode	VERB
fuelectenerg-3144	965	21	by	by	ADP
fuelectenerg-3144	965	22	at	at	ADV
fuelectenerg-3144	965	23	least	least	ADV
fuelectenerg-3144	965	24	three	three	NUM
fuelectenerg-3144	965	25	bits	bit	NOUN
fuelectenerg-3144	965	26	)	)	PUNCT
fuelectenerg-3144	965	27	,	,	PUNCT
fuelectenerg-3144	965	28	one	one	PRON
fuelectenerg-3144	965	29	would	would	AUX
fuelectenerg-3144	965	30	replace	replace	VERB
fuelectenerg-3144	965	31	the	the	DET
fuelectenerg-3144	965	32	simplified	simplified	ADJ
fuelectenerg-3144	965	33	circuit	circuit	NOUN
fuelectenerg-3144	965	34	for	for	ADP
fuelectenerg-3144	965	35	evaluating	evaluate	VERB
fuelectenerg-3144	965	36	d2(i1	d2(i1	NOUN
fuelectenerg-3144	965	37	,	,	PUNCT
fuelectenerg-3144	965	38	i2	i2	PROPN
fuelectenerg-3144	965	39	)	)	PUNCT
fuelectenerg-3144	965	40	with	with	ADP
fuelectenerg-3144	965	41	the	the	DET
fuelectenerg-3144	965	42	full	full	ADJ
fuelectenerg-3144	965	43	one	one	NUM
fuelectenerg-3144	965	44	from	from	ADP
fuelectenerg-3144	965	45	figure	figure	NOUN
fuelectenerg-3144	965	46	11(a	11(a	NUM
fuelectenerg-3144	965	47	)	)	PUNCT
fuelectenerg-3144	965	48	.	.	PUNCT
fuelectenerg-3144	966	1	in	in	ADP
fuelectenerg-3144	966	2	some	some	DET
fuelectenerg-3144	966	3	cases	case	NOUN
fuelectenerg-3144	966	4	,	,	PUNCT
fuelectenerg-3144	966	5	checking	check	VERB
fuelectenerg-3144	966	6	eq	eq	ADP
fuelectenerg-3144	966	7	.	.	PROPN
fuelectenerg-3144	966	8	1	1	NUM
fuelectenerg-3144	966	9	or	or	CCONJ
fuelectenerg-3144	966	10	2	2	NUM
fuelectenerg-3144	966	11	may	may	AUX
fuelectenerg-3144	966	12	involve	involve	VERB
fuelectenerg-3144	966	13	evaluating	evaluate	VERB
fuelectenerg-3144	966	14	ai(i	ai(i	NUM
fuelectenerg-3144	966	15	,	,	PUNCT
fuelectenerg-3144	966	16	i	i	PRON
fuelectenerg-3144	966	17	′	′	VERB
fuelectenerg-3144	966	18	)	)	PUNCT
fuelectenerg-3144	966	19	simultaneously	simultaneously	ADV
fuelectenerg-3144	966	20	for	for	ADP
fuelectenerg-3144	966	21	two	two	NUM
fuelectenerg-3144	966	22	or	or	CCONJ
fuelectenerg-3144	966	23	more	more	ADJ
fuelectenerg-3144	966	24	overlapping	overlap	VERB
fuelectenerg-3144	966	25	pairs	pair	NOUN
fuelectenerg-3144	966	26	of	of	ADP
fuelectenerg-3144	966	27	inputs	input	NOUN
fuelectenerg-3144	966	28	(	(	PUNCT
fuelectenerg-3144	966	29	or	or	CCONJ
fuelectenerg-3144	966	30	states	state	NOUN
fuelectenerg-3144	966	31	)	)	PUNCT
fuelectenerg-3144	966	32	.	.	PUNCT
fuelectenerg-3144	967	1	in	in	ADP
fuelectenerg-3144	967	2	these	these	DET
fuelectenerg-3144	967	3	scenarios	scenario	NOUN
fuelectenerg-3144	967	4	,	,	PUNCT
fuelectenerg-3144	967	5	one	one	PRON
fuelectenerg-3144	967	6	must	must	AUX
fuelectenerg-3144	967	7	construct	construct	VERB
fuelectenerg-3144	967	8	the	the	DET
fuelectenerg-3144	967	9	quantum	quantum	ADJ
fuelectenerg-3144	967	10	circuit	circuit	NOUN
fuelectenerg-3144	967	11	for	for	ADP
fuelectenerg-3144	967	12	checking	check	VERB
fuelectenerg-3144	967	13	eq	eq	ADP
fuelectenerg-3144	967	14	.	.	PROPN
fuelectenerg-3144	967	15	1	1	NUM
fuelectenerg-3144	967	16	or	or	CCONJ
fuelectenerg-3144	967	17	2	2	NUM
fuelectenerg-3144	967	18	using	use	VERB
fuelectenerg-3144	967	19	a	a	DET
fuelectenerg-3144	967	20	slightly	slightly	ADV
fuelectenerg-3144	967	21	different	different	ADJ
fuelectenerg-3144	967	22	design	design	NOUN
fuelectenerg-3144	967	23	.	.	PUNCT
fuelectenerg-3144	968	1	for	for	ADP
fuelectenerg-3144	968	2	example	example	NOUN
fuelectenerg-3144	968	3	,	,	PUNCT
fuelectenerg-3144	968	4	suppose	suppose	VERB
fuelectenerg-3144	968	5	that	that	SCONJ
fuelectenerg-3144	968	6	we	we	PRON
fuelectenerg-3144	968	7	now	now	ADV
fuelectenerg-3144	968	8	wish	wish	VERB
fuelectenerg-3144	968	9	to	to	PART
fuelectenerg-3144	968	10	design	design	VERB
fuelectenerg-3144	968	11	a	a	DET
fuelectenerg-3144	968	12	quantum	quantum	ADJ
fuelectenerg-3144	968	13	circuit	circuit	NOUN
fuelectenerg-3144	968	14	to	to	PART
fuelectenerg-3144	968	15	evaluate	evaluate	VERB
fuelectenerg-3144	968	16	eq	eq	ADP
fuelectenerg-3144	968	17	.	.	PROPN
fuelectenerg-3144	968	18	2	2	NUM
fuelectenerg-3144	968	19	for	for	ADP
fuelectenerg-3144	968	20	the	the	DET
fuelectenerg-3144	968	21	same	same	ADJ
fuelectenerg-3144	968	22	state	state	NOUN
fuelectenerg-3144	968	23	machine	machine	NOUN
fuelectenerg-3144	968	24	and	and	CCONJ
fuelectenerg-3144	968	25	i	i	NOUN
fuelectenerg-3144	968	26	=	=	NOUN
fuelectenerg-3144	968	27	1	1	NUM
fuelectenerg-3144	968	28	,	,	PUNCT
fuelectenerg-3144	968	29	j	j	NOUN
fuelectenerg-3144	969	1	=	=	SYM
fuelectenerg-3144	969	2	2	2	NUM
fuelectenerg-3144	969	3	as	as	ADP
fuelectenerg-3144	969	4	before	before	ADV
fuelectenerg-3144	969	5	,	,	PUNCT
fuelectenerg-3144	969	6	but	but	CCONJ
fuelectenerg-3144	969	7	a	a	DET
fuelectenerg-3144	969	8	different	different	ADJ
fuelectenerg-3144	969	9	pair	pair	NOUN
fuelectenerg-3144	969	10	of	of	ADP
fuelectenerg-3144	969	11	input	input	NOUN
fuelectenerg-3144	969	12	values	value	NOUN
fuelectenerg-3144	969	13	(	(	PUNCT
fuelectenerg-3144	969	14	i1	i1	NOUN
fuelectenerg-3144	969	15	,	,	PUNCT
fuelectenerg-3144	969	16	i3	i3	PROPN
fuelectenerg-3144	969	17	)	)	PUNCT
fuelectenerg-3144	969	18	.	.	PUNCT
fuelectenerg-3144	970	1	the	the	DET
fuelectenerg-3144	970	2	pairs	pair	NOUN
fuelectenerg-3144	970	3	of	of	ADP
fuelectenerg-3144	970	4	next	next	ADJ
fuelectenerg-3144	970	5	states	state	NOUN
fuelectenerg-3144	970	6	corresponding	correspond	VERB
fuelectenerg-3144	970	7	to	to	ADP
fuelectenerg-3144	970	8	current	current	ADJ
fuelectenerg-3144	970	9	states	state	NOUN
fuelectenerg-3144	970	10	of	of	ADP
fuelectenerg-3144	970	11	s1	s1	NOUN
fuelectenerg-3144	970	12	,	,	PUNCT
fuelectenerg-3144	970	13	s2	s2	PROPN
fuelectenerg-3144	970	14	,	,	PUNCT
fuelectenerg-3144	970	15	s3	s3	PROPN
fuelectenerg-3144	970	16	,	,	PUNCT
fuelectenerg-3144	970	17	and	and	CCONJ
fuelectenerg-3144	970	18	s4	s4	PROPN
fuelectenerg-3144	970	19	are	be	AUX
fuelectenerg-3144	970	20	(	(	PUNCT
fuelectenerg-3144	970	21	s2	s2	PROPN
fuelectenerg-3144	970	22	,	,	PUNCT
fuelectenerg-3144	970	23	s2	s2	PROPN
fuelectenerg-3144	970	24	)	)	PUNCT
fuelectenerg-3144	970	25	,	,	PUNCT
fuelectenerg-3144	970	26	(	(	PUNCT
fuelectenerg-3144	970	27	s4	s4	PROPN
fuelectenerg-3144	970	28	,	,	PUNCT
fuelectenerg-3144	970	29	s3	s3	PROPN
fuelectenerg-3144	970	30	)	)	PUNCT
fuelectenerg-3144	970	31	,	,	PUNCT
fuelectenerg-3144	970	32	(	(	PUNCT
fuelectenerg-3144	970	33	s2	s2	PROPN
fuelectenerg-3144	970	34	,	,	PUNCT
fuelectenerg-3144	970	35	s3	s3	PROPN
fuelectenerg-3144	970	36	)	)	PUNCT
fuelectenerg-3144	970	37	,	,	PUNCT
fuelectenerg-3144	970	38	and	and	CCONJ
fuelectenerg-3144	970	39	(	(	PUNCT
fuelectenerg-3144	970	40	s4	s4	PROPN
fuelectenerg-3144	970	41	,	,	PUNCT
fuelectenerg-3144	970	42	s2	s2	PROPN
fuelectenerg-3144	970	43	)	)	PUNCT
fuelectenerg-3144	970	44	,	,	PUNCT
fuelectenerg-3144	970	45	respectively	respectively	ADV
fuelectenerg-3144	970	46	.	.	PUNCT
fuelectenerg-3144	971	1	therefore	therefore	ADV
fuelectenerg-3144	971	2	,	,	PUNCT
fuelectenerg-3144	971	3	the	the	DET
fuelectenerg-3144	971	4	quantum	quantum	NOUN
fuelectenerg-3144	971	5	circuit	circuit	NOUN
fuelectenerg-3144	971	6	must	must	AUX
fuelectenerg-3144	971	7	evaluate	evaluate	VERB
fuelectenerg-3144	971	8	d2(i1	d2(i1	NOUN
fuelectenerg-3144	971	9	,	,	PUNCT
fuelectenerg-3144	971	10	i3	i3	NOUN
fuelectenerg-3144	971	11	)	)	PUNCT
fuelectenerg-3144	971	12	⇒	⇒	PROPN
fuelectenerg-3144	971	13	a1(s4	a1(s4	PROPN
fuelectenerg-3144	971	14	,	,	PUNCT
fuelectenerg-3144	971	15	s3	s3	PROPN
fuelectenerg-3144	971	16	)	)	PUNCT
fuelectenerg-3144	971	17	∧a1(s2	∧a1(s2	NOUN
fuelectenerg-3144	971	18	,	,	PUNCT
fuelectenerg-3144	971	19	s3	s3	PROPN
fuelectenerg-3144	971	20	)	)	PUNCT
fuelectenerg-3144	971	21	∧a1(s4	∧a1(s4	PROPN
fuelectenerg-3144	971	22	,	,	PUNCT
fuelectenerg-3144	971	23	s2	s2	PROPN
fuelectenerg-3144	971	24	)	)	PUNCT
fuelectenerg-3144	971	25	.	.	PUNCT
fuelectenerg-3144	972	1	(	(	PUNCT
fuelectenerg-3144	972	2	6	6	X
fuelectenerg-3144	972	3	)	)	PUNCT
fuelectenerg-3144	972	4	we	we	PRON
fuelectenerg-3144	972	5	then	then	ADV
fuelectenerg-3144	972	6	observe	observe	VERB
fuelectenerg-3144	972	7	that	that	SCONJ
fuelectenerg-3144	972	8	,	,	PUNCT
fuelectenerg-3144	972	9	since	since	SCONJ
fuelectenerg-3144	972	10	the	the	DET
fuelectenerg-3144	972	11	pairs	pair	NOUN
fuelectenerg-3144	972	12	of	of	ADP
fuelectenerg-3144	972	13	states	state	NOUN
fuelectenerg-3144	972	14	on	on	ADP
fuelectenerg-3144	972	15	the	the	DET
fuelectenerg-3144	972	16	right	right	ADJ
fuelectenerg-3144	972	17	-	-	PUNCT
fuelectenerg-3144	972	18	hand	hand	NOUN
fuelectenerg-3144	972	19	side	side	NOUN
fuelectenerg-3144	972	20	overlap	overlap	NOUN
fuelectenerg-3144	972	21	,	,	PUNCT
fuelectenerg-3144	972	22	the	the	DET
fuelectenerg-3144	972	23	entire	entire	ADJ
fuelectenerg-3144	972	24	right	right	ADJ
fuelectenerg-3144	972	25	-	-	PUNCT
fuelectenerg-3144	972	26	hand	hand	NOUN
fuelectenerg-3144	972	27	side	side	NOUN
fuelectenerg-3144	972	28	is	be	AUX
fuelectenerg-3144	972	29	equivalent	equivalent	ADJ
fuelectenerg-3144	972	30	to	to	ADP
fuelectenerg-3144	972	31	the	the	DET
fuelectenerg-3144	972	32	condition	condition	NOUN
fuelectenerg-3144	972	33	that	that	SCONJ
fuelectenerg-3144	972	34	the	the	DET
fuelectenerg-3144	972	35	encodings	encoding	NOUN
fuelectenerg-3144	972	36	of	of	ADP
fuelectenerg-3144	972	37	s2	s2	PROPN
fuelectenerg-3144	972	38	,	,	PUNCT
fuelectenerg-3144	972	39	s3	s3	PROPN
fuelectenerg-3144	972	40	,	,	PUNCT
fuelectenerg-3144	972	41	s4	s4	PROPN
fuelectenerg-3144	972	42	must	must	AUX
fuelectenerg-3144	972	43	all	all	ADV
fuelectenerg-3144	972	44	agree	agree	VERB
fuelectenerg-3144	972	45	in	in	ADP
fuelectenerg-3144	972	46	the	the	DET
fuelectenerg-3144	972	47	value	value	NOUN
fuelectenerg-3144	972	48	of	of	ADP
fuelectenerg-3144	972	49	q1	q1	PROPN
fuelectenerg-3144	972	50	.	.	PUNCT
fuelectenerg-3144	973	1	8	8	NUM
fuelectenerg-3144	973	2	we	we	PRON
fuelectenerg-3144	973	3	denote	denote	VERB
fuelectenerg-3144	973	4	this	this	DET
fuelectenerg-3144	973	5	condition	condition	NOUN
fuelectenerg-3144	973	6	by	by	ADP
fuelectenerg-3144	973	7	a1(s2	a1(s2	PROPN
fuelectenerg-3144	973	8	,	,	PUNCT
fuelectenerg-3144	973	9	s3	s3	PROPN
fuelectenerg-3144	973	10	,	,	PUNCT
fuelectenerg-3144	973	11	s4	s4	PROPN
fuelectenerg-3144	973	12	)	)	PUNCT
fuelectenerg-3144	973	13	,	,	PUNCT
fuelectenerg-3144	973	14	a	a	DET
fuelectenerg-3144	973	15	natural	natural	ADJ
fuelectenerg-3144	973	16	generalization	generalization	NOUN
fuelectenerg-3144	973	17	of	of	ADP
fuelectenerg-3144	973	18	our	our	PRON
fuelectenerg-3144	973	19	earlier	early	ADJ
fuelectenerg-3144	973	20	ai(s	ai(s	NUM
fuelectenerg-3144	973	21	,	,	PUNCT
fuelectenerg-3144	973	22	s	s	NOUN
fuelectenerg-3144	973	23	′	′	NOUN
fuelectenerg-3144	973	24	)	)	PUNCT
fuelectenerg-3144	973	25	notation	notation	NOUN
fuelectenerg-3144	973	26	for	for	ADP
fuelectenerg-3144	973	27	pairs	pair	NOUN
fuelectenerg-3144	973	28	of	of	ADP
fuelectenerg-3144	973	29	states	state	NOUN
fuelectenerg-3144	973	30	.	.	PUNCT
fuelectenerg-3144	974	1	figure	figure	VERB
fuelectenerg-3144	974	2	14	14	NUM
fuelectenerg-3144	974	3	illustrates	illustrate	VERB
fuelectenerg-3144	974	4	the	the	DET
fuelectenerg-3144	974	5	quantum	quantum	ADJ
fuelectenerg-3144	974	6	circuit	circuit	NOUN
fuelectenerg-3144	974	7	for	for	ADP
fuelectenerg-3144	974	8	evaluating	evaluate	VERB
fuelectenerg-3144	974	9	eq	eq	ADP
fuelectenerg-3144	974	10	.	.	PROPN
fuelectenerg-3144	974	11	2	2	NUM
fuelectenerg-3144	974	12	in	in	ADP
fuelectenerg-3144	974	13	this	this	DET
fuelectenerg-3144	974	14	case	case	NOUN
fuelectenerg-3144	974	15	.	.	PUNCT
fuelectenerg-3144	975	1	the	the	DET
fuelectenerg-3144	975	2	critical	critical	ADJ
fuelectenerg-3144	975	3	difference	difference	NOUN
fuelectenerg-3144	975	4	between	between	ADP
fuelectenerg-3144	975	5	figures	figure	NOUN
fuelectenerg-3144	975	6	13	13	NUM
fuelectenerg-3144	975	7	and	and	CCONJ
fuelectenerg-3144	975	8	14	14	NUM
fuelectenerg-3144	975	9	is	be	AUX
fuelectenerg-3144	975	10	that	that	SCONJ
fuelectenerg-3144	975	11	the	the	DET
fuelectenerg-3144	975	12	feynman	feynman	PROPN
fuelectenerg-3144	975	13	gates	gate	NOUN
fuelectenerg-3144	975	14	in	in	ADP
fuelectenerg-3144	975	15	the	the	DET
fuelectenerg-3144	975	16	upper	upper	ADJ
fuelectenerg-3144	975	17	portion	portion	NOUN
fuelectenerg-3144	975	18	of	of	ADP
fuelectenerg-3144	975	19	figure	figure	NOUN
fuelectenerg-3144	975	20	14	14	NUM
fuelectenerg-3144	975	21	operate	operate	NOUN
fuelectenerg-3144	975	22	on	on	ADP
fuelectenerg-3144	975	23	the	the	DET
fuelectenerg-3144	975	24	encodings	encoding	NOUN
fuelectenerg-3144	975	25	of	of	ADP
fuelectenerg-3144	975	26	overlapping	overlap	VERB
fuelectenerg-3144	975	27	pairs	pair	NOUN
fuelectenerg-3144	975	28	of	of	ADP
fuelectenerg-3144	975	29	states	state	NOUN
fuelectenerg-3144	975	30	,	,	PUNCT
fuelectenerg-3144	975	31	and	and	CCONJ
fuelectenerg-3144	975	32	must	must	AUX
fuelectenerg-3144	975	33	therefore	therefore	ADV
fuelectenerg-3144	975	34	be	be	AUX
fuelectenerg-3144	975	35	applied	apply	VERB
fuelectenerg-3144	975	36	in	in	ADP
fuelectenerg-3144	975	37	the	the	DET
fuelectenerg-3144	975	38	correct	correct	ADJ
fuelectenerg-3144	975	39	order	order	NOUN
fuelectenerg-3144	975	40	.	.	PUNCT
fuelectenerg-3144	976	1	additionally	additionally	ADV
fuelectenerg-3144	976	2	,	,	PUNCT
fuelectenerg-3144	976	3	although	although	SCONJ
fuelectenerg-3144	976	4	the	the	DET
fuelectenerg-3144	976	5	right	right	ADJ
fuelectenerg-3144	976	6	-	-	PUNCT
fuelectenerg-3144	976	7	hand	hand	NOUN
fuelectenerg-3144	976	8	side	side	NOUN
fuelectenerg-3144	976	9	of	of	ADP
fuelectenerg-3144	976	10	eq	eq	PROPN
fuelectenerg-3144	976	11	.	.	PROPN
fuelectenerg-3144	976	12	6	6	NUM
fuelectenerg-3144	976	13	contains	contain	VERB
fuelectenerg-3144	976	14	the	the	DET
fuelectenerg-3144	976	15	term	term	NOUN
fuelectenerg-3144	976	16	a1(s4	a1(s4	NOUN
fuelectenerg-3144	976	17	,	,	PUNCT
fuelectenerg-3144	976	18	s2	s2	PROPN
fuelectenerg-3144	976	19	)	)	PUNCT
fuelectenerg-3144	976	20	,	,	PUNCT
fuelectenerg-3144	976	21	the	the	DET
fuelectenerg-3144	976	22	circuit	circuit	NOUN
fuelectenerg-3144	976	23	in	in	ADP
fuelectenerg-3144	976	24	figure	figure	NOUN
fuelectenerg-3144	976	25	14	14	NUM
fuelectenerg-3144	976	26	does	do	AUX
fuelectenerg-3144	976	27	not	not	PART
fuelectenerg-3144	976	28	contain	contain	VERB
fuelectenerg-3144	976	29	a	a	DET
fuelectenerg-3144	976	30	corresponding	corresponding	ADJ
fuelectenerg-3144	976	31	feynman	feynman	PROPN
fuelectenerg-3144	976	32	gate	gate	PROPN
fuelectenerg-3144	976	33	to	to	PART
fuelectenerg-3144	976	34	evaluate	evaluate	VERB
fuelectenerg-3144	976	35	this	this	DET
fuelectenerg-3144	976	36	term	term	NOUN
fuelectenerg-3144	976	37	.	.	PUNCT
fuelectenerg-3144	977	1	such	such	DET
fuelectenerg-3144	977	2	a	a	DET
fuelectenerg-3144	977	3	gate	gate	NOUN
fuelectenerg-3144	977	4	is	be	AUX
fuelectenerg-3144	977	5	unnecessary	unnecessary	ADJ
fuelectenerg-3144	977	6	because	because	SCONJ
fuelectenerg-3144	977	7	of	of	ADP
fuelectenerg-3144	977	8	transitivity	transitivity	NOUN
fuelectenerg-3144	977	9	—	—	PUNCT
fuelectenerg-3144	977	10	it	it	PRON
fuelectenerg-3144	977	11	is	be	AUX
fuelectenerg-3144	977	12	enough	enough	ADJ
fuelectenerg-3144	977	13	to	to	PART
fuelectenerg-3144	977	14	check	check	VERB
fuelectenerg-3144	977	15	both	both	PRON
fuelectenerg-3144	977	16	a1(s2	a1(s2	NOUN
fuelectenerg-3144	977	17	,	,	PUNCT
fuelectenerg-3144	977	18	s3	s3	PROPN
fuelectenerg-3144	977	19	)	)	PUNCT
fuelectenerg-3144	977	20	and	and	CCONJ
fuelectenerg-3144	977	21	a1(s3	a1(s3	NOUN
fuelectenerg-3144	977	22	,	,	PUNCT
fuelectenerg-3144	977	23	s4	s4	PROPN
fuelectenerg-3144	977	24	)	)	PUNCT
fuelectenerg-3144	977	25	since	since	SCONJ
fuelectenerg-3144	977	26	they	they	PRON
fuelectenerg-3144	977	27	are	be	AUX
fuelectenerg-3144	977	28	together	together	ADV
fuelectenerg-3144	977	29	equivalent	equivalent	ADJ
fuelectenerg-3144	977	30	to	to	ADP
fuelectenerg-3144	977	31	a1(s2	a1(s2	PROPN
fuelectenerg-3144	977	32	,	,	PUNCT
fuelectenerg-3144	977	33	s3	s3	PROPN
fuelectenerg-3144	977	34	,	,	PUNCT
fuelectenerg-3144	977	35	s4	s4	PROPN
fuelectenerg-3144	977	36	)	)	PUNCT
fuelectenerg-3144	977	37	,	,	PUNCT
fuelectenerg-3144	977	38	which	which	PRON
fuelectenerg-3144	977	39	implies	imply	VERB
fuelectenerg-3144	977	40	a1(s4	a1(s4	NOUN
fuelectenerg-3144	977	41	,	,	PUNCT
fuelectenerg-3144	977	42	s2	s2	PROPN
fuelectenerg-3144	977	43	)	)	PUNCT
fuelectenerg-3144	977	44	.	.	PUNCT
fuelectenerg-3144	978	1	more	more	ADV
fuelectenerg-3144	978	2	generally	generally	ADV
fuelectenerg-3144	978	3	,	,	PUNCT
fuelectenerg-3144	978	4	one	one	PRON
fuelectenerg-3144	978	5	can	can	AUX
fuelectenerg-3144	978	6	construct	construct	VERB
fuelectenerg-3144	978	7	similar	similar	ADJ
fuelectenerg-3144	978	8	circuits	circuit	NOUN
fuelectenerg-3144	978	9	to	to	PART
fuelectenerg-3144	978	10	evaluate	evaluate	VERB
fuelectenerg-3144	978	11	ai(s	ai(s	PRON
fuelectenerg-3144	978	12	,	,	PUNCT
fuelectenerg-3144	978	13	s	s	NOUN
fuelectenerg-3144	978	14	′	′	NOUN
fuelectenerg-3144	978	15	)	)	PUNCT
fuelectenerg-3144	978	16	for	for	ADP
fuelectenerg-3144	978	17	any	any	DET
fuelectenerg-3144	978	18	number	number	NOUN
fuelectenerg-3144	978	19	of	of	ADP
fuelectenerg-3144	978	20	overlapping	overlap	VERB
fuelectenerg-3144	978	21	pairs	pair	NOUN
fuelectenerg-3144	978	22	of	of	ADP
fuelectenerg-3144	978	23	states	state	NOUN
fuelectenerg-3144	978	24	.	.	PUNCT
fuelectenerg-3144	979	1	one	one	NUM
fuelectenerg-3144	979	2	simply	simply	ADV
fuelectenerg-3144	979	3	takes	take	VERB
fuelectenerg-3144	979	4	the	the	DET
fuelectenerg-3144	979	5	union	union	NOUN
fuelectenerg-3144	979	6	of	of	ADP
fuelectenerg-3144	979	7	all	all	DET
fuelectenerg-3144	979	8	such	such	ADJ
fuelectenerg-3144	979	9	pairs	pair	NOUN
fuelectenerg-3144	979	10	to	to	PART
fuelectenerg-3144	979	11	obtain	obtain	VERB
fuelectenerg-3144	979	12	an	an	DET
fuelectenerg-3144	979	13	arbitrarily	arbitrarily	ADV
fuelectenerg-3144	979	14	-	-	PUNCT
fuelectenerg-3144	979	15	sized	sized	ADJ
fuelectenerg-3144	979	16	set	set	NOUN
fuelectenerg-3144	979	17	of	of	ADP
fuelectenerg-3144	979	18	states	state	NOUN
fuelectenerg-3144	979	19	and	and	CCONJ
fuelectenerg-3144	979	20	then	then	ADV
fuelectenerg-3144	979	21	constructs	construct	VERB
fuelectenerg-3144	979	22	a	a	DET
fuelectenerg-3144	979	23	quantum	quantum	ADJ
fuelectenerg-3144	979	24	circuit	circuit	NOUN
fuelectenerg-3144	979	25	according	accord	VERB
fuelectenerg-3144	979	26	to	to	ADP
fuelectenerg-3144	979	27	the	the	DET
fuelectenerg-3144	979	28	pattern	pattern	NOUN
fuelectenerg-3144	979	29	shown	show	VERB
fuelectenerg-3144	979	30	in	in	ADP
fuelectenerg-3144	979	31	figure	figure	NOUN
fuelectenerg-3144	979	32	15(a	15(a	NUM
fuelectenerg-3144	979	33	)	)	PUNCT
fuelectenerg-3144	979	34	.	.	PUNCT
fuelectenerg-3144	980	1	8for	8for	ADP
fuelectenerg-3144	980	2	this	this	DET
fuelectenerg-3144	980	3	particular	particular	ADJ
fuelectenerg-3144	980	4	example	example	NOUN
fuelectenerg-3144	980	5	,	,	PUNCT
fuelectenerg-3144	980	6	this	this	DET
fuelectenerg-3144	980	7	condition	condition	NOUN
fuelectenerg-3144	980	8	is	be	AUX
fuelectenerg-3144	980	9	impossible	impossible	ADJ
fuelectenerg-3144	980	10	because	because	SCONJ
fuelectenerg-3144	980	11	,	,	PUNCT
fuelectenerg-3144	980	12	since	since	SCONJ
fuelectenerg-3144	980	13	we	we	PRON
fuelectenerg-3144	980	14	require	require	VERB
fuelectenerg-3144	980	15	encodings	encoding	NOUN
fuelectenerg-3144	980	16	to	to	PART
fuelectenerg-3144	980	17	be	be	AUX
fuelectenerg-3144	980	18	bijective	bijective	ADJ
fuelectenerg-3144	980	19	,	,	PUNCT
fuelectenerg-3144	980	20	the	the	DET
fuelectenerg-3144	980	21	encodings	encoding	NOUN
fuelectenerg-3144	980	22	of	of	ADP
fuelectenerg-3144	980	23	at	at	ADP
fuelectenerg-3144	980	24	most	most	ADV
fuelectenerg-3144	980	25	two	two	NUM
fuelectenerg-3144	980	26	states	state	NOUN
fuelectenerg-3144	980	27	can	can	AUX
fuelectenerg-3144	980	28	agree	agree	VERB
fuelectenerg-3144	980	29	in	in	ADP
fuelectenerg-3144	980	30	the	the	DET
fuelectenerg-3144	980	31	value	value	NOUN
fuelectenerg-3144	980	32	of	of	ADP
fuelectenerg-3144	980	33	q1	q1	PROPN
fuelectenerg-3144	980	34	.	.	PUNCT
fuelectenerg-3144	981	1	however	however	ADV
fuelectenerg-3144	981	2	,	,	PUNCT
fuelectenerg-3144	981	3	this	this	DET
fuelectenerg-3144	981	4	condition	condition	NOUN
fuelectenerg-3144	981	5	could	could	AUX
fuelectenerg-3144	981	6	be	be	AUX
fuelectenerg-3144	981	7	satisfied	satisfied	ADJ
fuelectenerg-3144	981	8	in	in	ADP
fuelectenerg-3144	981	9	an	an	DET
fuelectenerg-3144	981	10	fsm	fsm	NOUN
fuelectenerg-3144	981	11	with	with	ADP
fuelectenerg-3144	981	12	more	more	ADJ
fuelectenerg-3144	981	13	states	state	NOUN
fuelectenerg-3144	981	14	.	.	PUNCT
fuelectenerg-3144	982	1	26	26	NUM
fuelectenerg-3144	982	2	q1(s1	q1(s1	NOUN
fuelectenerg-3144	982	3	)	)	PUNCT
fuelectenerg-3144	982	4	q2(s1	q2(s1	ADJ
fuelectenerg-3144	982	5	)	)	PUNCT
fuelectenerg-3144	982	6	q1(s2	q1(s2	NOUN
fuelectenerg-3144	982	7	)	)	PUNCT
fuelectenerg-3144	982	8	q2(s2	q2(s2	NOUN
fuelectenerg-3144	982	9	)	)	PUNCT
fuelectenerg-3144	982	10	q1(s3	q1(s3	NOUN
fuelectenerg-3144	982	11	)	)	PUNCT
fuelectenerg-3144	982	12	q2(s3	q2(s3	PROPN
fuelectenerg-3144	982	13	)	)	PUNCT
fuelectenerg-3144	982	14	q1(s4	q1(s4	PROPN
fuelectenerg-3144	982	15	)	)	PUNCT
fuelectenerg-3144	982	16	q2(s4	q2(s4	PROPN
fuelectenerg-3144	982	17	)	)	PUNCT
fuelectenerg-3144	982	18	x1(i1	x1(i1	PROPN
fuelectenerg-3144	982	19	)	)	PUNCT
fuelectenerg-3144	982	20	x2(i1	x2(i1	PROPN
fuelectenerg-3144	982	21	)	)	PUNCT
fuelectenerg-3144	982	22	x1(i3	x1(i3	NOUN
fuelectenerg-3144	982	23	)	)	PUNCT
fuelectenerg-3144	982	24	x2(i3	x2(i3	PROPN
fuelectenerg-3144	982	25	)	)	PUNCT
fuelectenerg-3144	982	26	x1(i4	x1(i4	PROPN
fuelectenerg-3144	982	27	)	)	PUNCT
fuelectenerg-3144	982	28	x2(i4	x2(i4	PROPN
fuelectenerg-3144	982	29	)	)	PUNCT
fuelectenerg-3144	982	30	x2(i2	x2(i2	NOUN
fuelectenerg-3144	982	31	)	)	PUNCT
fuelectenerg-3144	982	32	x1(i2	x1(i2	NUM
fuelectenerg-3144	982	33	)	)	PUNCT
fuelectenerg-3144	982	34	|0	|0	NUM
fuelectenerg-3144	982	35	〉	〉	NUM
fuelectenerg-3144	982	36	|0	|0	NUM
fuelectenerg-3144	982	37	〉	〉	PROPN
fuelectenerg-3144	982	38	|1	|1	X
fuelectenerg-3144	982	39	〉	〉	PROPN
fuelectenerg-3144	982	40	a1(s1	a1(s1	NOUN
fuelectenerg-3144	982	41	,	,	PUNCT
fuelectenerg-3144	982	42	s4	s4	NOUN
fuelectenerg-3144	982	43	)	)	PUNCT
fuelectenerg-3144	982	44	∧a1(s2	∧a1(s2	NOUN
fuelectenerg-3144	982	45	,	,	PUNCT
fuelectenerg-3144	982	46	s3	s3	PROPN
fuelectenerg-3144	982	47	)	)	PUNCT
fuelectenerg-3144	982	48	d2(i1	d2(i1	NOUN
fuelectenerg-3144	982	49	,	,	PUNCT
fuelectenerg-3144	982	50	i2	i2	PROPN
fuelectenerg-3144	982	51	)	)	PUNCT
fuelectenerg-3144	982	52	d2(i1	d2(i1	NOUN
fuelectenerg-3144	982	53	,	,	PUNCT
fuelectenerg-3144	982	54	i2	i2	PROPN
fuelectenerg-3144	982	55	)	)	PUNCT
fuelectenerg-3144	982	56	⇒	⇒	PROPN
fuelectenerg-3144	982	57	a1(s1	a1(s1	NOUN
fuelectenerg-3144	982	58	,	,	PUNCT
fuelectenerg-3144	982	59	s4	s4	NOUN
fuelectenerg-3144	982	60	)	)	PUNCT
fuelectenerg-3144	982	61	∧a1(s2	∧a1(s2	NOUN
fuelectenerg-3144	982	62	,	,	PUNCT
fuelectenerg-3144	982	63	s3	s3	NOUN
fuelectenerg-3144	982	64	)	)	PUNCT
fuelectenerg-3144	982	65	figure	figure	NOUN
fuelectenerg-3144	982	66	13	13	NUM
fuelectenerg-3144	982	67	:	:	PUNCT
fuelectenerg-3144	982	68	quantum	quantum	ADJ
fuelectenerg-3144	982	69	circuit	circuit	NOUN
fuelectenerg-3144	982	70	to	to	PART
fuelectenerg-3144	982	71	evaluate	evaluate	VERB
fuelectenerg-3144	982	72	eq	eq	ADP
fuelectenerg-3144	982	73	.	.	PROPN
fuelectenerg-3144	982	74	2	2	NUM
fuelectenerg-3144	982	75	for	for	ADP
fuelectenerg-3144	982	76	input	input	NOUN
fuelectenerg-3144	982	77	pair	pair	NOUN
fuelectenerg-3144	982	78	(	(	PUNCT
fuelectenerg-3144	982	79	i1	i1	PROPN
fuelectenerg-3144	982	80	,	,	PUNCT
fuelectenerg-3144	982	81	i2	i2	PROPN
fuelectenerg-3144	982	82	)	)	PUNCT
fuelectenerg-3144	982	83	.	.	PUNCT
fuelectenerg-3144	983	1	27	27	NUM
fuelectenerg-3144	983	2	194	194	NUM
fuelectenerg-3144	983	3	e.	e.	PROPN
fuelectenerg-3144	983	4	tsai	tsai	PROPN
fuelectenerg-3144	983	5	,	,	PUNCT
fuelectenerg-3144	983	6	m.	m.	PROPN
fuelectenerg-3144	983	7	perkowski	perkowski	PROPN
fuelectenerg-3144	983	8	a	a	DET
fuelectenerg-3144	983	9	quantum	quantum	ADJ
fuelectenerg-3144	983	10	algorithm	algorithm	NOUN
fuelectenerg-3144	983	11	for	for	ADP
fuelectenerg-3144	983	12	automata	automata	NOUN
fuelectenerg-3144	983	13	encoding	encode	VERB
fuelectenerg-3144	983	14	195	195	NUM
fuelectenerg-3144	983	15	q1(s1	q1(s1	NOUN
fuelectenerg-3144	983	16	)	)	PUNCT
fuelectenerg-3144	983	17	q2(s1	q2(s1	ADJ
fuelectenerg-3144	983	18	)	)	PUNCT
fuelectenerg-3144	983	19	q1(s2	q1(s2	NOUN
fuelectenerg-3144	983	20	)	)	PUNCT
fuelectenerg-3144	983	21	q2(s2	q2(s2	NOUN
fuelectenerg-3144	983	22	)	)	PUNCT
fuelectenerg-3144	983	23	q1(s3	q1(s3	NOUN
fuelectenerg-3144	983	24	)	)	PUNCT
fuelectenerg-3144	983	25	q2(s3	q2(s3	PROPN
fuelectenerg-3144	983	26	)	)	PUNCT
fuelectenerg-3144	983	27	q1(s4	q1(s4	PROPN
fuelectenerg-3144	983	28	)	)	PUNCT
fuelectenerg-3144	983	29	q2(s4	q2(s4	PROPN
fuelectenerg-3144	983	30	)	)	PUNCT
fuelectenerg-3144	983	31	x1(i1	x1(i1	PROPN
fuelectenerg-3144	983	32	)	)	PUNCT
fuelectenerg-3144	983	33	x2(i1	x2(i1	PROPN
fuelectenerg-3144	983	34	)	)	PUNCT
fuelectenerg-3144	983	35	x1(i2	x1(i2	NUM
fuelectenerg-3144	983	36	)	)	PUNCT
fuelectenerg-3144	983	37	x2(i2	x2(i2	PROPN
fuelectenerg-3144	983	38	)	)	PUNCT
fuelectenerg-3144	983	39	x1(i4	x1(i4	PROPN
fuelectenerg-3144	983	40	)	)	PUNCT
fuelectenerg-3144	983	41	x2(i4	x2(i4	PROPN
fuelectenerg-3144	983	42	)	)	PUNCT
fuelectenerg-3144	983	43	x2(i3	x2(i3	PROPN
fuelectenerg-3144	983	44	)	)	PUNCT
fuelectenerg-3144	983	45	x1(i3	x1(i3	NOUN
fuelectenerg-3144	983	46	)	)	PUNCT
fuelectenerg-3144	983	47	|0	|0	NUM
fuelectenerg-3144	984	1	〉	〉	NUM
fuelectenerg-3144	984	2	|0	|0	NUM
fuelectenerg-3144	984	3	〉	〉	PROPN
fuelectenerg-3144	984	4	|1	|1	NUM
fuelectenerg-3144	984	5	〉	〉	PROPN
fuelectenerg-3144	984	6	a1(s2	a1(s2	NOUN
fuelectenerg-3144	984	7	,	,	PUNCT
fuelectenerg-3144	984	8	s3	s3	PROPN
fuelectenerg-3144	984	9	,	,	PUNCT
fuelectenerg-3144	984	10	s4	s4	PROPN
fuelectenerg-3144	984	11	)	)	PUNCT
fuelectenerg-3144	984	12	d2(i1	d2(i1	NOUN
fuelectenerg-3144	984	13	,	,	PUNCT
fuelectenerg-3144	984	14	i3	i3	NOUN
fuelectenerg-3144	984	15	)	)	PUNCT
fuelectenerg-3144	984	16	d2(i1	d2(i1	NOUN
fuelectenerg-3144	984	17	,	,	PUNCT
fuelectenerg-3144	984	18	i3	i3	NOUN
fuelectenerg-3144	984	19	)	)	PUNCT
fuelectenerg-3144	984	20	⇒	⇒	VERB
fuelectenerg-3144	984	21	a1(s2	a1(s2	PROPN
fuelectenerg-3144	984	22	,	,	PUNCT
fuelectenerg-3144	984	23	s3	s3	PROPN
fuelectenerg-3144	984	24	,	,	PUNCT
fuelectenerg-3144	984	25	s4	s4	PROPN
fuelectenerg-3144	984	26	)	)	PUNCT
fuelectenerg-3144	984	27	figure	figure	NOUN
fuelectenerg-3144	984	28	14	14	NUM
fuelectenerg-3144	984	29	:	:	PUNCT
fuelectenerg-3144	984	30	quantum	quantum	ADJ
fuelectenerg-3144	984	31	circuit	circuit	NOUN
fuelectenerg-3144	984	32	to	to	PART
fuelectenerg-3144	984	33	evaluate	evaluate	VERB
fuelectenerg-3144	984	34	eq	eq	ADP
fuelectenerg-3144	984	35	.	.	PROPN
fuelectenerg-3144	984	36	2	2	NUM
fuelectenerg-3144	984	37	for	for	ADP
fuelectenerg-3144	984	38	input	input	NOUN
fuelectenerg-3144	984	39	pair	pair	NOUN
fuelectenerg-3144	984	40	(	(	PUNCT
fuelectenerg-3144	984	41	i1	i1	NOUN
fuelectenerg-3144	984	42	,	,	PUNCT
fuelectenerg-3144	984	43	i3	i3	PROPN
fuelectenerg-3144	984	44	)	)	PUNCT
fuelectenerg-3144	984	45	.	.	PUNCT
fuelectenerg-3144	985	1	28	28	NUM
fuelectenerg-3144	985	2	figure	figure	NOUN
fuelectenerg-3144	985	3	15(b	15(b	NUM
fuelectenerg-3144	985	4	)	)	PUNCT
fuelectenerg-3144	985	5	then	then	ADV
fuelectenerg-3144	985	6	shows	show	VERB
fuelectenerg-3144	985	7	a	a	DET
fuelectenerg-3144	985	8	circuit	circuit	NOUN
fuelectenerg-3144	985	9	that	that	PRON
fuelectenerg-3144	985	10	checks	check	VERB
fuelectenerg-3144	985	11	whether	whether	SCONJ
fuelectenerg-3144	985	12	ai	ai	VERB
fuelectenerg-3144	985	13	is	be	AUX
fuelectenerg-3144	985	14	simultaneously	simultaneously	ADV
fuelectenerg-3144	985	15	satisfied	satisfied	ADJ
fuelectenerg-3144	985	16	for	for	ADP
fuelectenerg-3144	985	17	multiple	multiple	ADJ
fuelectenerg-3144	985	18	sets	set	NOUN
fuelectenerg-3144	985	19	of	of	ADP
fuelectenerg-3144	985	20	states	state	NOUN
fuelectenerg-3144	985	21	.	.	PUNCT
fuelectenerg-3144	986	1	these	these	DET
fuelectenerg-3144	986	2	circuit	circuit	NOUN
fuelectenerg-3144	986	3	structures	structure	NOUN
fuelectenerg-3144	986	4	are	be	AUX
fuelectenerg-3144	986	5	sufficient	sufficient	ADJ
fuelectenerg-3144	986	6	to	to	PART
fuelectenerg-3144	986	7	algorithmically	algorithmically	ADV
fuelectenerg-3144	986	8	construct	construct	VERB
fuelectenerg-3144	986	9	a	a	DET
fuelectenerg-3144	986	10	quantum	quantum	ADJ
fuelectenerg-3144	986	11	circuit	circuit	NOUN
fuelectenerg-3144	986	12	for	for	ADP
fuelectenerg-3144	986	13	evaluating	evaluate	VERB
fuelectenerg-3144	986	14	eq	eq	ADP
fuelectenerg-3144	986	15	.	.	PROPN
fuelectenerg-3144	986	16	1	1	NUM
fuelectenerg-3144	986	17	or	or	CCONJ
fuelectenerg-3144	986	18	2	2	NUM
fuelectenerg-3144	986	19	in	in	ADP
fuelectenerg-3144	986	20	any	any	DET
fuelectenerg-3144	986	21	case	case	NOUN
fuelectenerg-3144	986	22	.	.	PUNCT
fuelectenerg-3144	987	1	specifically	specifically	ADV
fuelectenerg-3144	987	2	,	,	PUNCT
fuelectenerg-3144	987	3	given	give	VERB
fuelectenerg-3144	987	4	any	any	DET
fuelectenerg-3144	987	5	fsm	fsm	NOUN
fuelectenerg-3144	987	6	with	with	ADP
fuelectenerg-3144	987	7	any	any	DET
fuelectenerg-3144	987	8	number	number	NOUN
fuelectenerg-3144	987	9	of	of	ADP
fuelectenerg-3144	987	10	states	state	NOUN
fuelectenerg-3144	987	11	and	and	CCONJ
fuelectenerg-3144	987	12	input	input	NOUN
fuelectenerg-3144	987	13	values	value	NOUN
fuelectenerg-3144	987	14	,	,	PUNCT
fuelectenerg-3144	987	15	the	the	DET
fuelectenerg-3144	987	16	following	follow	VERB
fuelectenerg-3144	987	17	procedure	procedure	NOUN
fuelectenerg-3144	987	18	constructs	construct	VERB
fuelectenerg-3144	987	19	a	a	DET
fuelectenerg-3144	987	20	quantum	quantum	ADJ
fuelectenerg-3144	987	21	circuit	circuit	NOUN
fuelectenerg-3144	987	22	to	to	PART
fuelectenerg-3144	987	23	evaluate	evaluate	VERB
fuelectenerg-3144	987	24	eq	eq	ADP
fuelectenerg-3144	987	25	.	.	PROPN
fuelectenerg-3144	987	26	1	1	NUM
fuelectenerg-3144	987	27	for	for	ADP
fuelectenerg-3144	987	28	any	any	DET
fuelectenerg-3144	987	29	i	i	PROPN
fuelectenerg-3144	987	30	,	,	PUNCT
fuelectenerg-3144	987	31	j	j	PROPN
fuelectenerg-3144	987	32	,	,	PUNCT
fuelectenerg-3144	987	33	and	and	CCONJ
fuelectenerg-3144	987	34	pair	pair	NOUN
fuelectenerg-3144	987	35	of	of	ADP
fuelectenerg-3144	987	36	states9	states9	PROPN
fuelectenerg-3144	987	37	(	(	PUNCT
fuelectenerg-3144	987	38	s	s	PROPN
fuelectenerg-3144	987	39	,	,	PUNCT
fuelectenerg-3144	987	40	s′	s′	X
fuelectenerg-3144	987	41	):	):	PUNCT
fuelectenerg-3144	987	42	1	1	X
fuelectenerg-3144	987	43	.	.	X
fuelectenerg-3144	987	44	list	list	NOUN
fuelectenerg-3144	987	45	all	all	PRON
fuelectenerg-3144	987	46	of	of	ADP
fuelectenerg-3144	987	47	the	the	DET
fuelectenerg-3144	987	48	pairs	pair	NOUN
fuelectenerg-3144	987	49	of	of	ADP
fuelectenerg-3144	987	50	states	state	NOUN
fuelectenerg-3144	987	51	appearing	appear	VERB
fuelectenerg-3144	987	52	on	on	ADP
fuelectenerg-3144	987	53	the	the	DET
fuelectenerg-3144	987	54	right	right	ADJ
fuelectenerg-3144	987	55	-	-	PUNCT
fuelectenerg-3144	987	56	hand	hand	NOUN
fuelectenerg-3144	987	57	side	side	NOUN
fuelectenerg-3144	987	58	of	of	ADP
fuelectenerg-3144	987	59	eq	eq	PROPN
fuelectenerg-3144	987	60	.	.	PROPN
fuelectenerg-3144	987	61	1	1	NUM
fuelectenerg-3144	987	62	when	when	SCONJ
fuelectenerg-3144	987	63	expanded	expand	VERB
fuelectenerg-3144	987	64	.	.	PUNCT
fuelectenerg-3144	988	1	in	in	ADP
fuelectenerg-3144	988	2	other	other	ADJ
fuelectenerg-3144	988	3	words	word	NOUN
fuelectenerg-3144	988	4	,	,	PUNCT
fuelectenerg-3144	988	5	create	create	VERB
fuelectenerg-3144	988	6	a	a	DET
fuelectenerg-3144	988	7	list	list	NOUN
fuelectenerg-3144	988	8	containing	contain	VERB
fuelectenerg-3144	988	9	the	the	DET
fuelectenerg-3144	988	10	pair	pair	NOUN
fuelectenerg-3144	988	11	of	of	ADP
fuelectenerg-3144	988	12	states	state	NOUN
fuelectenerg-3144	988	13	(	(	PUNCT
fuelectenerg-3144	988	14	δ(s	δ(s	PROPN
fuelectenerg-3144	988	15	,	,	PUNCT
fuelectenerg-3144	988	16	i	i	PROPN
fuelectenerg-3144	988	17	)	)	PUNCT
fuelectenerg-3144	988	18	,	,	PUNCT
fuelectenerg-3144	988	19	δ(s′	δ(s′	PROPN
fuelectenerg-3144	988	20	,	,	PUNCT
fuelectenerg-3144	988	21	i	i	NOUN
fuelectenerg-3144	988	22	)	)	PUNCT
fuelectenerg-3144	988	23	)	)	PUNCT
fuelectenerg-3144	988	24	for	for	ADP
fuelectenerg-3144	988	25	every	every	DET
fuelectenerg-3144	988	26	possible	possible	ADJ
fuelectenerg-3144	988	27	input	input	NOUN
fuelectenerg-3144	988	28	value	value	NOUN
fuelectenerg-3144	988	29	i.	i.	NOUN
fuelectenerg-3144	988	30	2	2	NUM
fuelectenerg-3144	988	31	.	.	PUNCT
fuelectenerg-3144	989	1	in	in	ADP
fuelectenerg-3144	989	2	this	this	DET
fuelectenerg-3144	989	3	list	list	NOUN
fuelectenerg-3144	989	4	,	,	PUNCT
fuelectenerg-3144	989	5	merge	merge	VERB
fuelectenerg-3144	989	6	any	any	DET
fuelectenerg-3144	989	7	overlapping	overlap	VERB
fuelectenerg-3144	989	8	pairs	pair	NOUN
fuelectenerg-3144	989	9	of	of	ADP
fuelectenerg-3144	989	10	states	state	NOUN
fuelectenerg-3144	989	11	together	together	ADV
fuelectenerg-3144	989	12	to	to	PART
fuelectenerg-3144	989	13	obtain	obtain	VERB
fuelectenerg-3144	989	14	a	a	DET
fuelectenerg-3144	989	15	collection	collection	NOUN
fuelectenerg-3144	989	16	of	of	ADP
fuelectenerg-3144	989	17	mutually	mutually	ADV
fuelectenerg-3144	989	18	disjoint	disjoint	ADJ
fuelectenerg-3144	989	19	sets	set	NOUN
fuelectenerg-3144	989	20	of	of	ADP
fuelectenerg-3144	989	21	states	state	NOUN
fuelectenerg-3144	989	22	.	.	PUNCT
fuelectenerg-3144	990	1	3	3	X
fuelectenerg-3144	990	2	.	.	X
fuelectenerg-3144	990	3	using	use	VERB
fuelectenerg-3144	990	4	the	the	DET
fuelectenerg-3144	990	5	circuit	circuit	NOUN
fuelectenerg-3144	990	6	structures	structure	NOUN
fuelectenerg-3144	990	7	from	from	ADP
fuelectenerg-3144	990	8	figure	figure	NOUN
fuelectenerg-3144	990	9	15	15	NUM
fuelectenerg-3144	990	10	,	,	PUNCT
fuelectenerg-3144	990	11	construct	construct	VERB
fuelectenerg-3144	990	12	a	a	DET
fuelectenerg-3144	990	13	circuit	circuit	NOUN
fuelectenerg-3144	990	14	that	that	PRON
fuelectenerg-3144	990	15	checks	check	VERB
fuelectenerg-3144	990	16	whether	whether	SCONJ
fuelectenerg-3144	990	17	ai	ai	VERB
fuelectenerg-3144	990	18	is	be	AUX
fuelectenerg-3144	990	19	simultaneously	simultaneously	ADV
fuelectenerg-3144	990	20	satisfied	satisfied	ADJ
fuelectenerg-3144	990	21	for	for	ADP
fuelectenerg-3144	990	22	every	every	DET
fuelectenerg-3144	990	23	set	set	NOUN
fuelectenerg-3144	990	24	of	of	ADP
fuelectenerg-3144	990	25	states	state	NOUN
fuelectenerg-3144	990	26	produced	produce	VERB
fuelectenerg-3144	990	27	by	by	ADP
fuelectenerg-3144	990	28	the	the	DET
fuelectenerg-3144	990	29	previous	previous	ADJ
fuelectenerg-3144	990	30	step	step	NOUN
fuelectenerg-3144	990	31	.	.	PUNCT
fuelectenerg-3144	991	1	4	4	X
fuelectenerg-3144	991	2	.	.	X
fuelectenerg-3144	991	3	using	use	VERB
fuelectenerg-3144	991	4	the	the	DET
fuelectenerg-3144	991	5	circuit	circuit	NOUN
fuelectenerg-3144	991	6	created	create	VERB
fuelectenerg-3144	991	7	in	in	ADP
fuelectenerg-3144	991	8	step	step	NOUN
fuelectenerg-3144	991	9	3	3	NUM
fuelectenerg-3144	991	10	as	as	ADP
fuelectenerg-3144	991	11	a	a	DET
fuelectenerg-3144	991	12	subcircuit	subcircuit	NOUN
fuelectenerg-3144	991	13	,	,	PUNCT
fuelectenerg-3144	991	14	construct	construct	VERB
fuelectenerg-3144	991	15	a	a	DET
fuelectenerg-3144	991	16	circuit	circuit	NOUN
fuelectenerg-3144	991	17	that	that	PRON
fuelectenerg-3144	991	18	checks	check	VERB
fuelectenerg-3144	991	19	the	the	DET
fuelectenerg-3144	991	20	full	full	ADJ
fuelectenerg-3144	991	21	eq	eq	NOUN
fuelectenerg-3144	991	22	.	.	PROPN
fuelectenerg-3144	991	23	1	1	NUM
fuelectenerg-3144	991	24	,	,	PUNCT
fuelectenerg-3144	991	25	following	follow	VERB
fuelectenerg-3144	991	26	the	the	DET
fuelectenerg-3144	991	27	general	general	ADJ
fuelectenerg-3144	991	28	pattern	pattern	NOUN
fuelectenerg-3144	991	29	illustrated	illustrate	VERB
fuelectenerg-3144	991	30	in	in	ADP
fuelectenerg-3144	991	31	figures	figure	NOUN
fuelectenerg-3144	991	32	13	13	NUM
fuelectenerg-3144	991	33	and	and	CCONJ
fuelectenerg-3144	991	34	14	14	NUM
fuelectenerg-3144	991	35	.	.	PUNCT
fuelectenerg-3144	992	1	from	from	ADP
fuelectenerg-3144	992	2	now	now	ADV
fuelectenerg-3144	992	3	on	on	ADV
fuelectenerg-3144	992	4	,	,	PUNCT
fuelectenerg-3144	992	5	we	we	PRON
fuelectenerg-3144	992	6	will	will	AUX
fuelectenerg-3144	992	7	refer	refer	VERB
fuelectenerg-3144	992	8	to	to	ADP
fuelectenerg-3144	992	9	any	any	DET
fuelectenerg-3144	992	10	circuit	circuit	NOUN
fuelectenerg-3144	992	11	generated	generate	VERB
fuelectenerg-3144	992	12	by	by	ADP
fuelectenerg-3144	992	13	this	this	DET
fuelectenerg-3144	992	14	procedure	procedure	NOUN
fuelectenerg-3144	992	15	as	as	ADP
fuelectenerg-3144	992	16	a	a	DET
fuelectenerg-3144	992	17	partial	partial	ADJ
fuelectenerg-3144	992	18	dependency	dependency	NOUN
fuelectenerg-3144	992	19	checker	checker	NOUN
fuelectenerg-3144	992	20	for	for	ADP
fuelectenerg-3144	992	21	the	the	DET
fuelectenerg-3144	992	22	given	give	VERB
fuelectenerg-3144	992	23	pair	pair	NOUN
fuelectenerg-3144	992	24	of	of	ADP
fuelectenerg-3144	992	25	states	state	NOUN
fuelectenerg-3144	992	26	,	,	PUNCT
fuelectenerg-3144	992	27	because	because	SCONJ
fuelectenerg-3144	992	28	it	it	PRON
fuelectenerg-3144	992	29	checks	check	VERB
fuelectenerg-3144	992	30	eq	eq	NOUN
fuelectenerg-3144	992	31	.	.	PROPN
fuelectenerg-3144	992	32	1	1	NUM
fuelectenerg-3144	992	33	for	for	ADP
fuelectenerg-3144	992	34	a	a	DET
fuelectenerg-3144	992	35	single	single	ADJ
fuelectenerg-3144	992	36	pair	pair	NOUN
fuelectenerg-3144	992	37	of	of	ADP
fuelectenerg-3144	992	38	states	state	NOUN
fuelectenerg-3144	992	39	while	while	SCONJ
fuelectenerg-3144	992	40	the	the	DET
fuelectenerg-3144	992	41	existence	existence	NOUN
fuelectenerg-3144	992	42	of	of	ADP
fuelectenerg-3144	992	43	a	a	DET
fuelectenerg-3144	992	44	dependency	dependency	NOUN
fuelectenerg-3144	992	45	is	be	AUX
fuelectenerg-3144	992	46	determined	determine	VERB
fuelectenerg-3144	992	47	by	by	ADP
fuelectenerg-3144	992	48	checking	check	VERB
fuelectenerg-3144	992	49	eq	eq	ADP
fuelectenerg-3144	992	50	.	.	PROPN
fuelectenerg-3144	992	51	1	1	NUM
fuelectenerg-3144	992	52	for	for	ADP
fuelectenerg-3144	992	53	all	all	DET
fuelectenerg-3144	992	54	possible	possible	ADJ
fuelectenerg-3144	992	55	pairs	pair	NOUN
fuelectenerg-3144	992	56	of	of	ADP
fuelectenerg-3144	992	57	states	state	NOUN
fuelectenerg-3144	992	58	.	.	PUNCT
fuelectenerg-3144	993	1	we	we	PRON
fuelectenerg-3144	993	2	observe	observe	VERB
fuelectenerg-3144	993	3	that	that	SCONJ
fuelectenerg-3144	993	4	crucially	crucially	ADV
fuelectenerg-3144	993	5	,	,	PUNCT
fuelectenerg-3144	993	6	the	the	DET
fuelectenerg-3144	993	7	quantum	quantum	NOUN
fuelectenerg-3144	993	8	circuit	circuit	NOUN
fuelectenerg-3144	993	9	design	design	NOUN
fuelectenerg-3144	993	10	procedure	procedure	NOUN
fuelectenerg-3144	993	11	described	describe	VERB
fuelectenerg-3144	993	12	in	in	ADP
fuelectenerg-3144	993	13	this	this	DET
fuelectenerg-3144	993	14	section	section	NOUN
fuelectenerg-3144	993	15	requires	require	VERB
fuelectenerg-3144	993	16	at	at	ADP
fuelectenerg-3144	993	17	compile	compile	NOUN
fuelectenerg-3144	993	18	time	time	NOUN
fuelectenerg-3144	993	19	only	only	ADV
fuelectenerg-3144	993	20	knowledge	knowledge	NOUN
fuelectenerg-3144	993	21	of	of	ADP
fuelectenerg-3144	993	22	the	the	DET
fuelectenerg-3144	993	23	transition	transition	NOUN
fuelectenerg-3144	993	24	function	function	NOUN
fuelectenerg-3144	993	25	of	of	ADP
fuelectenerg-3144	993	26	the	the	DET
fuelectenerg-3144	993	27	fsm	fsm	PROPN
fuelectenerg-3144	993	28	being	be	AUX
fuelectenerg-3144	993	29	encoded	encode	VERB
fuelectenerg-3144	993	30	.	.	PUNCT
fuelectenerg-3144	994	1	in	in	ADP
fuelectenerg-3144	994	2	particular	particular	ADJ
fuelectenerg-3144	994	3	,	,	PUNCT
fuelectenerg-3144	994	4	the	the	DET
fuelectenerg-3144	994	5	quantum	quantum	NOUN
fuelectenerg-3144	994	6	circuit	circuit	NOUN
fuelectenerg-3144	994	7	can	can	AUX
fuelectenerg-3144	994	8	not	not	PART
fuelectenerg-3144	994	9	be	be	AUX
fuelectenerg-3144	994	10	modified	modify	VERB
fuelectenerg-3144	994	11	depending	depend	VERB
fuelectenerg-3144	994	12	on	on	ADP
fuelectenerg-3144	994	13	the	the	DET
fuelectenerg-3144	994	14	encoding	encoding	NOUN
fuelectenerg-3144	994	15	whose	whose	DET
fuelectenerg-3144	994	16	cost	cost	NOUN
fuelectenerg-3144	994	17	is	be	AUX
fuelectenerg-3144	994	18	being	be	AUX
fuelectenerg-3144	994	19	evaluated	evaluate	VERB
fuelectenerg-3144	994	20	,	,	PUNCT
fuelectenerg-3144	994	21	because	because	SCONJ
fuelectenerg-3144	994	22	individual	individual	ADJ
fuelectenerg-3144	994	23	encodings	encoding	NOUN
fuelectenerg-3144	994	24	are	be	AUX
fuelectenerg-3144	994	25	not	not	PART
fuelectenerg-3144	994	26	considered	consider	VERB
fuelectenerg-3144	994	27	at	at	ADP
fuelectenerg-3144	994	28	compile	compile	NOUN
fuelectenerg-3144	994	29	time	time	NOUN
fuelectenerg-3144	994	30	.	.	PUNCT
fuelectenerg-3144	995	1	individual	individual	ADJ
fuelectenerg-3144	995	2	encodings	encoding	NOUN
fuelectenerg-3144	995	3	are	be	AUX
fuelectenerg-3144	995	4	only	only	ADV
fuelectenerg-3144	995	5	considered	consider	VERB
fuelectenerg-3144	995	6	at	at	ADP
fuelectenerg-3144	995	7	run	run	NOUN
fuelectenerg-3144	995	8	time	time	NOUN
fuelectenerg-3144	995	9	,	,	PUNCT
fuelectenerg-3144	995	10	when	when	SCONJ
fuelectenerg-3144	995	11	grover	grover	PROPN
fuelectenerg-3144	995	12	’s	’s	PART
fuelectenerg-3144	995	13	algorithm	algorithm	NOUN
fuelectenerg-3144	995	14	is	be	AUX
fuelectenerg-3144	995	15	used	use	VERB
fuelectenerg-3144	995	16	to	to	PART
fuelectenerg-3144	995	17	simultaneously	simultaneously	ADV
fuelectenerg-3144	995	18	evaluate	evaluate	VERB
fuelectenerg-3144	995	19	the	the	DET
fuelectenerg-3144	995	20	cost	cost	NOUN
fuelectenerg-3144	995	21	of	of	ADP
fuelectenerg-3144	995	22	every	every	DET
fuelectenerg-3144	995	23	possible	possible	ADJ
fuelectenerg-3144	995	24	encoding	encoding	NOUN
fuelectenerg-3144	995	25	in	in	ADP
fuelectenerg-3144	995	26	the	the	DET
fuelectenerg-3144	995	27	search	search	NOUN
fuelectenerg-3144	995	28	space	space	NOUN
fuelectenerg-3144	995	29	.	.	PUNCT
fuelectenerg-3144	996	1	thus	thus	ADV
fuelectenerg-3144	996	2	,	,	PUNCT
fuelectenerg-3144	996	3	in	in	ADP
fuelectenerg-3144	996	4	a	a	DET
fuelectenerg-3144	996	5	single	single	ADJ
fuelectenerg-3144	996	6	run	run	NOUN
fuelectenerg-3144	996	7	of	of	ADP
fuelectenerg-3144	996	8	grover	grover	NOUN
fuelectenerg-3144	996	9	’s	’s	PART
fuelectenerg-3144	996	10	algorithm	algorithm	NOUN
fuelectenerg-3144	996	11	,	,	PUNCT
fuelectenerg-3144	996	12	the	the	DET
fuelectenerg-3144	996	13	same	same	ADJ
fuelectenerg-3144	996	14	quantum	quantum	NOUN
fuelectenerg-3144	996	15	circuit	circuit	NOUN
fuelectenerg-3144	996	16	must	must	AUX
fuelectenerg-3144	996	17	be	be	AUX
fuelectenerg-3144	996	18	able	able	ADJ
fuelectenerg-3144	996	19	to	to	PART
fuelectenerg-3144	996	20	evaluate	evaluate	VERB
fuelectenerg-3144	996	21	any	any	DET
fuelectenerg-3144	996	22	encoding	encoding	NOUN
fuelectenerg-3144	996	23	in	in	ADP
fuelectenerg-3144	996	24	the	the	DET
fuelectenerg-3144	996	25	search	search	NOUN
fuelectenerg-3144	996	26	space	space	NOUN
fuelectenerg-3144	996	27	without	without	ADP
fuelectenerg-3144	996	28	any	any	DET
fuelectenerg-3144	996	29	modifications	modification	NOUN
fuelectenerg-3144	996	30	.	.	PUNCT
fuelectenerg-3144	997	1	5.3	5.3	NUM
fuelectenerg-3144	997	2	quantum	quantum	NOUN
fuelectenerg-3144	997	3	circuit	circuit	NOUN
fuelectenerg-3144	997	4	to	to	PART
fuelectenerg-3144	997	5	calculate	calculate	VERB
fuelectenerg-3144	997	6	total	total	ADJ
fuelectenerg-3144	997	7	cost	cost	NOUN
fuelectenerg-3144	997	8	of	of	ADP
fuelectenerg-3144	997	9	an	an	DET
fuelectenerg-3144	997	10	encoding	encoding	NOUN
fuelectenerg-3144	997	11	with	with	ADP
fuelectenerg-3144	997	12	the	the	DET
fuelectenerg-3144	997	13	ability	ability	NOUN
fuelectenerg-3144	997	14	to	to	PART
fuelectenerg-3144	997	15	generate	generate	VERB
fuelectenerg-3144	997	16	a	a	DET
fuelectenerg-3144	997	17	quantum	quantum	ADJ
fuelectenerg-3144	997	18	circuit	circuit	NOUN
fuelectenerg-3144	997	19	to	to	PART
fuelectenerg-3144	997	20	evaluate	evaluate	VERB
fuelectenerg-3144	997	21	eq	eq	ADP
fuelectenerg-3144	997	22	.	.	PROPN
fuelectenerg-3144	997	23	1	1	NUM
fuelectenerg-3144	997	24	or	or	CCONJ
fuelectenerg-3144	997	25	2	2	NUM
fuelectenerg-3144	997	26	for	for	ADP
fuelectenerg-3144	997	27	any	any	DET
fuelectenerg-3144	997	28	i	i	PROPN
fuelectenerg-3144	997	29	,	,	PUNCT
fuelectenerg-3144	997	30	j	j	PROPN
fuelectenerg-3144	997	31	,	,	PUNCT
fuelectenerg-3144	997	32	and	and	CCONJ
fuelectenerg-3144	997	33	pair	pair	NOUN
fuelectenerg-3144	997	34	of	of	ADP
fuelectenerg-3144	997	35	states	state	NOUN
fuelectenerg-3144	997	36	or	or	CCONJ
fuelectenerg-3144	997	37	inputs	input	NOUN
fuelectenerg-3144	997	38	,	,	PUNCT
fuelectenerg-3144	997	39	we	we	PRON
fuelectenerg-3144	997	40	now	now	ADV
fuelectenerg-3144	997	41	consider	consider	VERB
fuelectenerg-3144	997	42	the	the	DET
fuelectenerg-3144	997	43	task	task	NOUN
fuelectenerg-3144	997	44	of	of	ADP
fuelectenerg-3144	997	45	designing	design	VERB
fuelectenerg-3144	997	46	a	a	DET
fuelectenerg-3144	997	47	quantum	quantum	ADJ
fuelectenerg-3144	997	48	circuit	circuit	NOUN
fuelectenerg-3144	997	49	to	to	PART
fuelectenerg-3144	997	50	calculate	calculate	VERB
fuelectenerg-3144	997	51	the	the	DET
fuelectenerg-3144	997	52	full	full	ADJ
fuelectenerg-3144	997	53	cost	cost	NOUN
fuelectenerg-3144	997	54	of	of	ADP
fuelectenerg-3144	997	55	a	a	DET
fuelectenerg-3144	997	56	given	give	VERB
fuelectenerg-3144	997	57	encoding	encoding	NOUN
fuelectenerg-3144	997	58	.	.	PUNCT
fuelectenerg-3144	998	1	following	follow	VERB
fuelectenerg-3144	998	2	the	the	DET
fuelectenerg-3144	998	3	procedure	procedure	NOUN
fuelectenerg-3144	998	4	from	from	ADP
fuelectenerg-3144	998	5	section	section	NOUN
fuelectenerg-3144	998	6	4.1	4.1	NUM
fuelectenerg-3144	998	7	,	,	PUNCT
fuelectenerg-3144	998	8	the	the	DET
fuelectenerg-3144	998	9	quantum	quantum	ADJ
fuelectenerg-3144	998	10	circuit	circuit	NOUN
fuelectenerg-3144	998	11	determines	determine	VERB
fuelectenerg-3144	998	12	whether	whether	SCONJ
fuelectenerg-3144	998	13	a	a	DET
fuelectenerg-3144	998	14	given	give	VERB
fuelectenerg-3144	998	15	q+	q+	ADV
fuelectenerg-3144	998	16	i	i	PRON
fuelectenerg-3144	998	17	depends	depend	VERB
fuelectenerg-3144	998	18	on	on	ADP
fuelectenerg-3144	998	19	qj	qj	PROPN
fuelectenerg-3144	998	20	by	by	ADP
fuelectenerg-3144	998	21	checking	check	VERB
fuelectenerg-3144	998	22	if	if	SCONJ
fuelectenerg-3144	998	23	eq	eq	NOUN
fuelectenerg-3144	998	24	.	.	PROPN
fuelectenerg-3144	998	25	1	1	NUM
fuelectenerg-3144	998	26	is	be	AUX
fuelectenerg-3144	998	27	satisfied	satisfied	ADJ
fuelectenerg-3144	998	28	for	for	ADP
fuelectenerg-3144	998	29	all	all	DET
fuelectenerg-3144	998	30	possible	possible	ADJ
fuelectenerg-3144	998	31	pairs	pair	NOUN
fuelectenerg-3144	998	32	of	of	ADP
fuelectenerg-3144	998	33	states.10	states.10	ADJ
fuelectenerg-3144	998	34	figure	figure	NOUN
fuelectenerg-3144	998	35	16	16	NUM
fuelectenerg-3144	998	36	shows	show	VERB
fuelectenerg-3144	998	37	a	a	DET
fuelectenerg-3144	998	38	circuit	circuit	NOUN
fuelectenerg-3144	998	39	structure	structure	NOUN
fuelectenerg-3144	998	40	that	that	PRON
fuelectenerg-3144	998	41	accomplishes	accomplish	VERB
fuelectenerg-3144	998	42	this	this	DET
fuelectenerg-3144	998	43	task	task	NOUN
fuelectenerg-3144	998	44	.	.	PUNCT
fuelectenerg-3144	999	1	from	from	ADP
fuelectenerg-3144	999	2	now	now	ADV
fuelectenerg-3144	999	3	on	on	ADV
fuelectenerg-3144	999	4	,	,	PUNCT
fuelectenerg-3144	999	5	we	we	PRON
fuelectenerg-3144	999	6	will	will	AUX
fuelectenerg-3144	999	7	refer	refer	VERB
fuelectenerg-3144	999	8	to	to	ADP
fuelectenerg-3144	999	9	this	this	DET
fuelectenerg-3144	999	10	circuit	circuit	NOUN
fuelectenerg-3144	999	11	as	as	ADP
fuelectenerg-3144	999	12	a	a	DET
fuelectenerg-3144	999	13	dependency	dependency	NOUN
fuelectenerg-3144	999	14	checker	checker	NOUN
fuelectenerg-3144	999	15	.	.	PUNCT
fuelectenerg-3144	1000	1	9we	9we	PROPN
fuelectenerg-3144	1000	2	describe	describe	VERB
fuelectenerg-3144	1000	3	the	the	DET
fuelectenerg-3144	1000	4	procedure	procedure	NOUN
fuelectenerg-3144	1000	5	here	here	ADV
fuelectenerg-3144	1000	6	using	use	VERB
fuelectenerg-3144	1000	7	eq	eq	ADP
fuelectenerg-3144	1000	8	.	.	PROPN
fuelectenerg-3144	1000	9	1	1	NUM
fuelectenerg-3144	1000	10	with	with	ADP
fuelectenerg-3144	1000	11	a	a	DET
fuelectenerg-3144	1000	12	pair	pair	NOUN
fuelectenerg-3144	1000	13	of	of	ADP
fuelectenerg-3144	1000	14	states	state	NOUN
fuelectenerg-3144	1000	15	,	,	PUNCT
fuelectenerg-3144	1000	16	but	but	CCONJ
fuelectenerg-3144	1000	17	it	it	PRON
fuelectenerg-3144	1000	18	functions	function	VERB
fuelectenerg-3144	1000	19	equally	equally	ADV
fuelectenerg-3144	1000	20	well	well	ADV
fuelectenerg-3144	1000	21	for	for	ADP
fuelectenerg-3144	1000	22	eq	eq	NOUN
fuelectenerg-3144	1000	23	.	.	PROPN
fuelectenerg-3144	1000	24	2	2	NUM
fuelectenerg-3144	1000	25	with	with	ADP
fuelectenerg-3144	1000	26	a	a	DET
fuelectenerg-3144	1000	27	pair	pair	NOUN
fuelectenerg-3144	1000	28	of	of	ADP
fuelectenerg-3144	1000	29	input	input	NOUN
fuelectenerg-3144	1000	30	values	value	NOUN
fuelectenerg-3144	1000	31	.	.	PUNCT
fuelectenerg-3144	1001	1	10once	10once	NUM
fuelectenerg-3144	1001	2	again	again	ADV
fuelectenerg-3144	1001	3	,	,	PUNCT
fuelectenerg-3144	1001	4	although	although	SCONJ
fuelectenerg-3144	1001	5	we	we	PRON
fuelectenerg-3144	1001	6	use	use	VERB
fuelectenerg-3144	1001	7	dependencies	dependency	NOUN
fuelectenerg-3144	1001	8	on	on	ADP
fuelectenerg-3144	1001	9	state	state	NOUN
fuelectenerg-3144	1001	10	variables	variable	NOUN
fuelectenerg-3144	1001	11	for	for	ADP
fuelectenerg-3144	1001	12	the	the	DET
fuelectenerg-3144	1001	13	sake	sake	NOUN
fuelectenerg-3144	1001	14	of	of	ADP
fuelectenerg-3144	1001	15	explanation	explanation	NOUN
fuelectenerg-3144	1001	16	,	,	PUNCT
fuelectenerg-3144	1001	17	the	the	DET
fuelectenerg-3144	1001	18	whole	whole	ADJ
fuelectenerg-3144	1001	19	discussion	discussion	NOUN
fuelectenerg-3144	1001	20	applies	apply	VERB
fuelectenerg-3144	1001	21	to	to	ADP
fuelectenerg-3144	1001	22	dependencies	dependency	NOUN
fuelectenerg-3144	1001	23	on	on	ADP
fuelectenerg-3144	1001	24	input	input	NOUN
fuelectenerg-3144	1001	25	variables	variable	NOUN
fuelectenerg-3144	1001	26	as	as	ADV
fuelectenerg-3144	1001	27	well	well	ADV
fuelectenerg-3144	1001	28	.	.	PUNCT
fuelectenerg-3144	1002	1	29	29	NUM
fuelectenerg-3144	1002	2	196	196	NUM
fuelectenerg-3144	1002	3	e.	e.	PROPN
fuelectenerg-3144	1002	4	tsai	tsai	PROPN
fuelectenerg-3144	1002	5	,	,	PUNCT
fuelectenerg-3144	1002	6	m.	m.	PROPN
fuelectenerg-3144	1002	7	perkowski	perkowski	PROPN
fuelectenerg-3144	1002	8	a	a	DET
fuelectenerg-3144	1002	9	quantum	quantum	ADJ
fuelectenerg-3144	1002	10	algorithm	algorithm	NOUN
fuelectenerg-3144	1002	11	for	for	ADP
fuelectenerg-3144	1002	12	automata	automata	NOUN
fuelectenerg-3144	1002	13	encoding	encode	VERB
fuelectenerg-3144	1002	14	197	197	NUM
fuelectenerg-3144	1002	15	q1(s1	q1(s1	NOUN
fuelectenerg-3144	1002	16	)	)	PUNCT
fuelectenerg-3144	1002	17	q2(s1	q2(s1	ADJ
fuelectenerg-3144	1002	18	)	)	PUNCT
fuelectenerg-3144	1002	19	q1(s2	q1(s2	NOUN
fuelectenerg-3144	1002	20	)	)	PUNCT
fuelectenerg-3144	1002	21	q2(s2	q2(s2	NOUN
fuelectenerg-3144	1002	22	)	)	PUNCT
fuelectenerg-3144	1002	23	q1(s3	q1(s3	NOUN
fuelectenerg-3144	1002	24	)	)	PUNCT
fuelectenerg-3144	1002	25	q2(s3	q2(s3	PROPN
fuelectenerg-3144	1002	26	)	)	PUNCT
fuelectenerg-3144	1002	27	q1(s4	q1(s4	PROPN
fuelectenerg-3144	1002	28	)	)	PUNCT
fuelectenerg-3144	1002	29	q2(s4	q2(s4	PROPN
fuelectenerg-3144	1002	30	)	)	PUNCT
fuelectenerg-3144	1002	31	x1(i1	x1(i1	PROPN
fuelectenerg-3144	1002	32	)	)	PUNCT
fuelectenerg-3144	1002	33	x2(i1	x2(i1	PROPN
fuelectenerg-3144	1002	34	)	)	PUNCT
fuelectenerg-3144	1002	35	x1(i2	x1(i2	NUM
fuelectenerg-3144	1002	36	)	)	PUNCT
fuelectenerg-3144	1002	37	x2(i2	x2(i2	PROPN
fuelectenerg-3144	1002	38	)	)	PUNCT
fuelectenerg-3144	1002	39	x1(i4	x1(i4	PROPN
fuelectenerg-3144	1002	40	)	)	PUNCT
fuelectenerg-3144	1002	41	x2(i4	x2(i4	PROPN
fuelectenerg-3144	1002	42	)	)	PUNCT
fuelectenerg-3144	1002	43	x2(i3	x2(i3	PROPN
fuelectenerg-3144	1002	44	)	)	PUNCT
fuelectenerg-3144	1002	45	x1(i3	x1(i3	NOUN
fuelectenerg-3144	1002	46	)	)	PUNCT
fuelectenerg-3144	1002	47	|0	|0	NUM
fuelectenerg-3144	1003	1	〉	〉	NUM
fuelectenerg-3144	1003	2	|0	|0	NUM
fuelectenerg-3144	1003	3	〉	〉	PROPN
fuelectenerg-3144	1003	4	|1	|1	NUM
fuelectenerg-3144	1003	5	〉	〉	PROPN
fuelectenerg-3144	1003	6	a1(s2	a1(s2	NOUN
fuelectenerg-3144	1003	7	,	,	PUNCT
fuelectenerg-3144	1003	8	s3	s3	PROPN
fuelectenerg-3144	1003	9	,	,	PUNCT
fuelectenerg-3144	1003	10	s4	s4	PROPN
fuelectenerg-3144	1003	11	)	)	PUNCT
fuelectenerg-3144	1003	12	d2(i1	d2(i1	NOUN
fuelectenerg-3144	1003	13	,	,	PUNCT
fuelectenerg-3144	1003	14	i3	i3	NOUN
fuelectenerg-3144	1003	15	)	)	PUNCT
fuelectenerg-3144	1003	16	d2(i1	d2(i1	NOUN
fuelectenerg-3144	1003	17	,	,	PUNCT
fuelectenerg-3144	1003	18	i3	i3	NOUN
fuelectenerg-3144	1003	19	)	)	PUNCT
fuelectenerg-3144	1003	20	⇒	⇒	VERB
fuelectenerg-3144	1003	21	a1(s2	a1(s2	PROPN
fuelectenerg-3144	1003	22	,	,	PUNCT
fuelectenerg-3144	1003	23	s3	s3	PROPN
fuelectenerg-3144	1003	24	,	,	PUNCT
fuelectenerg-3144	1003	25	s4	s4	PROPN
fuelectenerg-3144	1003	26	)	)	PUNCT
fuelectenerg-3144	1003	27	figure	figure	NOUN
fuelectenerg-3144	1003	28	14	14	NUM
fuelectenerg-3144	1003	29	:	:	PUNCT
fuelectenerg-3144	1003	30	quantum	quantum	ADJ
fuelectenerg-3144	1003	31	circuit	circuit	NOUN
fuelectenerg-3144	1003	32	to	to	PART
fuelectenerg-3144	1003	33	evaluate	evaluate	VERB
fuelectenerg-3144	1003	34	eq	eq	ADP
fuelectenerg-3144	1003	35	.	.	PROPN
fuelectenerg-3144	1003	36	2	2	NUM
fuelectenerg-3144	1003	37	for	for	ADP
fuelectenerg-3144	1003	38	input	input	NOUN
fuelectenerg-3144	1003	39	pair	pair	NOUN
fuelectenerg-3144	1003	40	(	(	PUNCT
fuelectenerg-3144	1003	41	i1	i1	NOUN
fuelectenerg-3144	1003	42	,	,	PUNCT
fuelectenerg-3144	1003	43	i3	i3	PROPN
fuelectenerg-3144	1003	44	)	)	PUNCT
fuelectenerg-3144	1003	45	.	.	PUNCT
fuelectenerg-3144	1004	1	28	28	NUM
fuelectenerg-3144	1004	2	figure	figure	NOUN
fuelectenerg-3144	1004	3	15(b	15(b	NUM
fuelectenerg-3144	1004	4	)	)	PUNCT
fuelectenerg-3144	1004	5	then	then	ADV
fuelectenerg-3144	1004	6	shows	show	VERB
fuelectenerg-3144	1004	7	a	a	DET
fuelectenerg-3144	1004	8	circuit	circuit	NOUN
fuelectenerg-3144	1004	9	that	that	PRON
fuelectenerg-3144	1004	10	checks	check	VERB
fuelectenerg-3144	1004	11	whether	whether	SCONJ
fuelectenerg-3144	1004	12	ai	ai	VERB
fuelectenerg-3144	1004	13	is	be	AUX
fuelectenerg-3144	1004	14	simultaneously	simultaneously	ADV
fuelectenerg-3144	1004	15	satisfied	satisfied	ADJ
fuelectenerg-3144	1004	16	for	for	ADP
fuelectenerg-3144	1004	17	multiple	multiple	ADJ
fuelectenerg-3144	1004	18	sets	set	NOUN
fuelectenerg-3144	1004	19	of	of	ADP
fuelectenerg-3144	1004	20	states	state	NOUN
fuelectenerg-3144	1004	21	.	.	PUNCT
fuelectenerg-3144	1005	1	these	these	DET
fuelectenerg-3144	1005	2	circuit	circuit	NOUN
fuelectenerg-3144	1005	3	structures	structure	NOUN
fuelectenerg-3144	1005	4	are	be	AUX
fuelectenerg-3144	1005	5	sufficient	sufficient	ADJ
fuelectenerg-3144	1005	6	to	to	PART
fuelectenerg-3144	1005	7	algorithmically	algorithmically	ADV
fuelectenerg-3144	1005	8	construct	construct	VERB
fuelectenerg-3144	1005	9	a	a	DET
fuelectenerg-3144	1005	10	quantum	quantum	ADJ
fuelectenerg-3144	1005	11	circuit	circuit	NOUN
fuelectenerg-3144	1005	12	for	for	ADP
fuelectenerg-3144	1005	13	evaluating	evaluate	VERB
fuelectenerg-3144	1005	14	eq	eq	ADP
fuelectenerg-3144	1005	15	.	.	PROPN
fuelectenerg-3144	1005	16	1	1	NUM
fuelectenerg-3144	1005	17	or	or	CCONJ
fuelectenerg-3144	1005	18	2	2	NUM
fuelectenerg-3144	1005	19	in	in	ADP
fuelectenerg-3144	1005	20	any	any	DET
fuelectenerg-3144	1005	21	case	case	NOUN
fuelectenerg-3144	1005	22	.	.	PUNCT
fuelectenerg-3144	1006	1	specifically	specifically	ADV
fuelectenerg-3144	1006	2	,	,	PUNCT
fuelectenerg-3144	1006	3	given	give	VERB
fuelectenerg-3144	1006	4	any	any	DET
fuelectenerg-3144	1006	5	fsm	fsm	NOUN
fuelectenerg-3144	1006	6	with	with	ADP
fuelectenerg-3144	1006	7	any	any	DET
fuelectenerg-3144	1006	8	number	number	NOUN
fuelectenerg-3144	1006	9	of	of	ADP
fuelectenerg-3144	1006	10	states	state	NOUN
fuelectenerg-3144	1006	11	and	and	CCONJ
fuelectenerg-3144	1006	12	input	input	NOUN
fuelectenerg-3144	1006	13	values	value	NOUN
fuelectenerg-3144	1006	14	,	,	PUNCT
fuelectenerg-3144	1006	15	the	the	DET
fuelectenerg-3144	1006	16	following	follow	VERB
fuelectenerg-3144	1006	17	procedure	procedure	NOUN
fuelectenerg-3144	1006	18	constructs	construct	VERB
fuelectenerg-3144	1006	19	a	a	DET
fuelectenerg-3144	1006	20	quantum	quantum	ADJ
fuelectenerg-3144	1006	21	circuit	circuit	NOUN
fuelectenerg-3144	1006	22	to	to	PART
fuelectenerg-3144	1006	23	evaluate	evaluate	VERB
fuelectenerg-3144	1006	24	eq	eq	ADP
fuelectenerg-3144	1006	25	.	.	PROPN
fuelectenerg-3144	1006	26	1	1	NUM
fuelectenerg-3144	1006	27	for	for	ADP
fuelectenerg-3144	1006	28	any	any	DET
fuelectenerg-3144	1006	29	i	i	PROPN
fuelectenerg-3144	1006	30	,	,	PUNCT
fuelectenerg-3144	1006	31	j	j	PROPN
fuelectenerg-3144	1006	32	,	,	PUNCT
fuelectenerg-3144	1006	33	and	and	CCONJ
fuelectenerg-3144	1006	34	pair	pair	NOUN
fuelectenerg-3144	1006	35	of	of	ADP
fuelectenerg-3144	1006	36	states9	states9	PROPN
fuelectenerg-3144	1006	37	(	(	PUNCT
fuelectenerg-3144	1006	38	s	s	PROPN
fuelectenerg-3144	1006	39	,	,	PUNCT
fuelectenerg-3144	1006	40	s′	s′	X
fuelectenerg-3144	1006	41	):	):	PUNCT
fuelectenerg-3144	1006	42	1	1	X
fuelectenerg-3144	1006	43	.	.	X
fuelectenerg-3144	1006	44	list	list	NOUN
fuelectenerg-3144	1006	45	all	all	PRON
fuelectenerg-3144	1006	46	of	of	ADP
fuelectenerg-3144	1006	47	the	the	DET
fuelectenerg-3144	1006	48	pairs	pair	NOUN
fuelectenerg-3144	1006	49	of	of	ADP
fuelectenerg-3144	1006	50	states	state	NOUN
fuelectenerg-3144	1006	51	appearing	appear	VERB
fuelectenerg-3144	1006	52	on	on	ADP
fuelectenerg-3144	1006	53	the	the	DET
fuelectenerg-3144	1006	54	right	right	ADJ
fuelectenerg-3144	1006	55	-	-	PUNCT
fuelectenerg-3144	1006	56	hand	hand	NOUN
fuelectenerg-3144	1006	57	side	side	NOUN
fuelectenerg-3144	1006	58	of	of	ADP
fuelectenerg-3144	1006	59	eq	eq	PROPN
fuelectenerg-3144	1006	60	.	.	PROPN
fuelectenerg-3144	1006	61	1	1	NUM
fuelectenerg-3144	1006	62	when	when	SCONJ
fuelectenerg-3144	1006	63	expanded	expand	VERB
fuelectenerg-3144	1006	64	.	.	PUNCT
fuelectenerg-3144	1007	1	in	in	ADP
fuelectenerg-3144	1007	2	other	other	ADJ
fuelectenerg-3144	1007	3	words	word	NOUN
fuelectenerg-3144	1007	4	,	,	PUNCT
fuelectenerg-3144	1007	5	create	create	VERB
fuelectenerg-3144	1007	6	a	a	DET
fuelectenerg-3144	1007	7	list	list	NOUN
fuelectenerg-3144	1007	8	containing	contain	VERB
fuelectenerg-3144	1007	9	the	the	DET
fuelectenerg-3144	1007	10	pair	pair	NOUN
fuelectenerg-3144	1007	11	of	of	ADP
fuelectenerg-3144	1007	12	states	state	NOUN
fuelectenerg-3144	1007	13	(	(	PUNCT
fuelectenerg-3144	1007	14	δ(s	δ(s	PROPN
fuelectenerg-3144	1007	15	,	,	PUNCT
fuelectenerg-3144	1007	16	i	i	PROPN
fuelectenerg-3144	1007	17	)	)	PUNCT
fuelectenerg-3144	1007	18	,	,	PUNCT
fuelectenerg-3144	1007	19	δ(s′	δ(s′	PROPN
fuelectenerg-3144	1007	20	,	,	PUNCT
fuelectenerg-3144	1007	21	i	i	NOUN
fuelectenerg-3144	1007	22	)	)	PUNCT
fuelectenerg-3144	1007	23	)	)	PUNCT
fuelectenerg-3144	1007	24	for	for	ADP
fuelectenerg-3144	1007	25	every	every	DET
fuelectenerg-3144	1007	26	possible	possible	ADJ
fuelectenerg-3144	1007	27	input	input	NOUN
fuelectenerg-3144	1007	28	value	value	NOUN
fuelectenerg-3144	1007	29	i.	i.	NOUN
fuelectenerg-3144	1007	30	2	2	NUM
fuelectenerg-3144	1007	31	.	.	PUNCT
fuelectenerg-3144	1008	1	in	in	ADP
fuelectenerg-3144	1008	2	this	this	DET
fuelectenerg-3144	1008	3	list	list	NOUN
fuelectenerg-3144	1008	4	,	,	PUNCT
fuelectenerg-3144	1008	5	merge	merge	VERB
fuelectenerg-3144	1008	6	any	any	DET
fuelectenerg-3144	1008	7	overlapping	overlap	VERB
fuelectenerg-3144	1008	8	pairs	pair	NOUN
fuelectenerg-3144	1008	9	of	of	ADP
fuelectenerg-3144	1008	10	states	state	NOUN
fuelectenerg-3144	1008	11	together	together	ADV
fuelectenerg-3144	1008	12	to	to	PART
fuelectenerg-3144	1008	13	obtain	obtain	VERB
fuelectenerg-3144	1008	14	a	a	DET
fuelectenerg-3144	1008	15	collection	collection	NOUN
fuelectenerg-3144	1008	16	of	of	ADP
fuelectenerg-3144	1008	17	mutually	mutually	ADV
fuelectenerg-3144	1008	18	disjoint	disjoint	ADJ
fuelectenerg-3144	1008	19	sets	set	NOUN
fuelectenerg-3144	1008	20	of	of	ADP
fuelectenerg-3144	1008	21	states	state	NOUN
fuelectenerg-3144	1008	22	.	.	PUNCT
fuelectenerg-3144	1009	1	3	3	X
fuelectenerg-3144	1009	2	.	.	X
fuelectenerg-3144	1009	3	using	use	VERB
fuelectenerg-3144	1009	4	the	the	DET
fuelectenerg-3144	1009	5	circuit	circuit	NOUN
fuelectenerg-3144	1009	6	structures	structure	NOUN
fuelectenerg-3144	1009	7	from	from	ADP
fuelectenerg-3144	1009	8	figure	figure	NOUN
fuelectenerg-3144	1009	9	15	15	NUM
fuelectenerg-3144	1009	10	,	,	PUNCT
fuelectenerg-3144	1009	11	construct	construct	VERB
fuelectenerg-3144	1009	12	a	a	DET
fuelectenerg-3144	1009	13	circuit	circuit	NOUN
fuelectenerg-3144	1009	14	that	that	PRON
fuelectenerg-3144	1009	15	checks	check	VERB
fuelectenerg-3144	1009	16	whether	whether	SCONJ
fuelectenerg-3144	1009	17	ai	ai	VERB
fuelectenerg-3144	1009	18	is	be	AUX
fuelectenerg-3144	1009	19	simultaneously	simultaneously	ADV
fuelectenerg-3144	1009	20	satisfied	satisfied	ADJ
fuelectenerg-3144	1009	21	for	for	ADP
fuelectenerg-3144	1009	22	every	every	DET
fuelectenerg-3144	1009	23	set	set	NOUN
fuelectenerg-3144	1009	24	of	of	ADP
fuelectenerg-3144	1009	25	states	state	NOUN
fuelectenerg-3144	1009	26	produced	produce	VERB
fuelectenerg-3144	1009	27	by	by	ADP
fuelectenerg-3144	1009	28	the	the	DET
fuelectenerg-3144	1009	29	previous	previous	ADJ
fuelectenerg-3144	1009	30	step	step	NOUN
fuelectenerg-3144	1009	31	.	.	PUNCT
fuelectenerg-3144	1010	1	4	4	X
fuelectenerg-3144	1010	2	.	.	X
fuelectenerg-3144	1010	3	using	use	VERB
fuelectenerg-3144	1010	4	the	the	DET
fuelectenerg-3144	1010	5	circuit	circuit	NOUN
fuelectenerg-3144	1010	6	created	create	VERB
fuelectenerg-3144	1010	7	in	in	ADP
fuelectenerg-3144	1010	8	step	step	NOUN
fuelectenerg-3144	1010	9	3	3	NUM
fuelectenerg-3144	1010	10	as	as	ADP
fuelectenerg-3144	1010	11	a	a	DET
fuelectenerg-3144	1010	12	subcircuit	subcircuit	NOUN
fuelectenerg-3144	1010	13	,	,	PUNCT
fuelectenerg-3144	1010	14	construct	construct	VERB
fuelectenerg-3144	1010	15	a	a	DET
fuelectenerg-3144	1010	16	circuit	circuit	NOUN
fuelectenerg-3144	1010	17	that	that	PRON
fuelectenerg-3144	1010	18	checks	check	VERB
fuelectenerg-3144	1010	19	the	the	DET
fuelectenerg-3144	1010	20	full	full	ADJ
fuelectenerg-3144	1010	21	eq	eq	NOUN
fuelectenerg-3144	1010	22	.	.	PROPN
fuelectenerg-3144	1010	23	1	1	NUM
fuelectenerg-3144	1010	24	,	,	PUNCT
fuelectenerg-3144	1010	25	following	follow	VERB
fuelectenerg-3144	1010	26	the	the	DET
fuelectenerg-3144	1010	27	general	general	ADJ
fuelectenerg-3144	1010	28	pattern	pattern	NOUN
fuelectenerg-3144	1010	29	illustrated	illustrate	VERB
fuelectenerg-3144	1010	30	in	in	ADP
fuelectenerg-3144	1010	31	figures	figure	NOUN
fuelectenerg-3144	1010	32	13	13	NUM
fuelectenerg-3144	1010	33	and	and	CCONJ
fuelectenerg-3144	1010	34	14	14	NUM
fuelectenerg-3144	1010	35	.	.	PUNCT
fuelectenerg-3144	1011	1	from	from	ADP
fuelectenerg-3144	1011	2	now	now	ADV
fuelectenerg-3144	1011	3	on	on	ADV
fuelectenerg-3144	1011	4	,	,	PUNCT
fuelectenerg-3144	1011	5	we	we	PRON
fuelectenerg-3144	1011	6	will	will	AUX
fuelectenerg-3144	1011	7	refer	refer	VERB
fuelectenerg-3144	1011	8	to	to	ADP
fuelectenerg-3144	1011	9	any	any	DET
fuelectenerg-3144	1011	10	circuit	circuit	NOUN
fuelectenerg-3144	1011	11	generated	generate	VERB
fuelectenerg-3144	1011	12	by	by	ADP
fuelectenerg-3144	1011	13	this	this	DET
fuelectenerg-3144	1011	14	procedure	procedure	NOUN
fuelectenerg-3144	1011	15	as	as	ADP
fuelectenerg-3144	1011	16	a	a	DET
fuelectenerg-3144	1011	17	partial	partial	ADJ
fuelectenerg-3144	1011	18	dependency	dependency	NOUN
fuelectenerg-3144	1011	19	checker	checker	NOUN
fuelectenerg-3144	1011	20	for	for	ADP
fuelectenerg-3144	1011	21	the	the	DET
fuelectenerg-3144	1011	22	given	give	VERB
fuelectenerg-3144	1011	23	pair	pair	NOUN
fuelectenerg-3144	1011	24	of	of	ADP
fuelectenerg-3144	1011	25	states	state	NOUN
fuelectenerg-3144	1011	26	,	,	PUNCT
fuelectenerg-3144	1011	27	because	because	SCONJ
fuelectenerg-3144	1011	28	it	it	PRON
fuelectenerg-3144	1011	29	checks	check	VERB
fuelectenerg-3144	1011	30	eq	eq	NOUN
fuelectenerg-3144	1011	31	.	.	PROPN
fuelectenerg-3144	1011	32	1	1	NUM
fuelectenerg-3144	1011	33	for	for	ADP
fuelectenerg-3144	1011	34	a	a	DET
fuelectenerg-3144	1011	35	single	single	ADJ
fuelectenerg-3144	1011	36	pair	pair	NOUN
fuelectenerg-3144	1011	37	of	of	ADP
fuelectenerg-3144	1011	38	states	state	NOUN
fuelectenerg-3144	1011	39	while	while	SCONJ
fuelectenerg-3144	1011	40	the	the	DET
fuelectenerg-3144	1011	41	existence	existence	NOUN
fuelectenerg-3144	1011	42	of	of	ADP
fuelectenerg-3144	1011	43	a	a	DET
fuelectenerg-3144	1011	44	dependency	dependency	NOUN
fuelectenerg-3144	1011	45	is	be	AUX
fuelectenerg-3144	1011	46	determined	determine	VERB
fuelectenerg-3144	1011	47	by	by	ADP
fuelectenerg-3144	1011	48	checking	check	VERB
fuelectenerg-3144	1011	49	eq	eq	ADP
fuelectenerg-3144	1011	50	.	.	PROPN
fuelectenerg-3144	1011	51	1	1	NUM
fuelectenerg-3144	1011	52	for	for	ADP
fuelectenerg-3144	1011	53	all	all	DET
fuelectenerg-3144	1011	54	possible	possible	ADJ
fuelectenerg-3144	1011	55	pairs	pair	NOUN
fuelectenerg-3144	1011	56	of	of	ADP
fuelectenerg-3144	1011	57	states	state	NOUN
fuelectenerg-3144	1011	58	.	.	PUNCT
fuelectenerg-3144	1012	1	we	we	PRON
fuelectenerg-3144	1012	2	observe	observe	VERB
fuelectenerg-3144	1012	3	that	that	SCONJ
fuelectenerg-3144	1012	4	crucially	crucially	ADV
fuelectenerg-3144	1012	5	,	,	PUNCT
fuelectenerg-3144	1012	6	the	the	DET
fuelectenerg-3144	1012	7	quantum	quantum	NOUN
fuelectenerg-3144	1012	8	circuit	circuit	NOUN
fuelectenerg-3144	1012	9	design	design	NOUN
fuelectenerg-3144	1012	10	procedure	procedure	NOUN
fuelectenerg-3144	1012	11	described	describe	VERB
fuelectenerg-3144	1012	12	in	in	ADP
fuelectenerg-3144	1012	13	this	this	DET
fuelectenerg-3144	1012	14	section	section	NOUN
fuelectenerg-3144	1012	15	requires	require	VERB
fuelectenerg-3144	1012	16	at	at	ADP
fuelectenerg-3144	1012	17	compile	compile	NOUN
fuelectenerg-3144	1012	18	time	time	NOUN
fuelectenerg-3144	1012	19	only	only	ADV
fuelectenerg-3144	1012	20	knowledge	knowledge	NOUN
fuelectenerg-3144	1012	21	of	of	ADP
fuelectenerg-3144	1012	22	the	the	DET
fuelectenerg-3144	1012	23	transition	transition	NOUN
fuelectenerg-3144	1012	24	function	function	NOUN
fuelectenerg-3144	1012	25	of	of	ADP
fuelectenerg-3144	1012	26	the	the	DET
fuelectenerg-3144	1012	27	fsm	fsm	PROPN
fuelectenerg-3144	1012	28	being	be	AUX
fuelectenerg-3144	1012	29	encoded	encode	VERB
fuelectenerg-3144	1012	30	.	.	PUNCT
fuelectenerg-3144	1013	1	in	in	ADP
fuelectenerg-3144	1013	2	particular	particular	ADJ
fuelectenerg-3144	1013	3	,	,	PUNCT
fuelectenerg-3144	1013	4	the	the	DET
fuelectenerg-3144	1013	5	quantum	quantum	NOUN
fuelectenerg-3144	1013	6	circuit	circuit	NOUN
fuelectenerg-3144	1013	7	can	can	AUX
fuelectenerg-3144	1013	8	not	not	PART
fuelectenerg-3144	1013	9	be	be	AUX
fuelectenerg-3144	1013	10	modified	modify	VERB
fuelectenerg-3144	1013	11	depending	depend	VERB
fuelectenerg-3144	1013	12	on	on	ADP
fuelectenerg-3144	1013	13	the	the	DET
fuelectenerg-3144	1013	14	encoding	encoding	NOUN
fuelectenerg-3144	1013	15	whose	whose	DET
fuelectenerg-3144	1013	16	cost	cost	NOUN
fuelectenerg-3144	1013	17	is	be	AUX
fuelectenerg-3144	1013	18	being	be	AUX
fuelectenerg-3144	1013	19	evaluated	evaluate	VERB
fuelectenerg-3144	1013	20	,	,	PUNCT
fuelectenerg-3144	1013	21	because	because	SCONJ
fuelectenerg-3144	1013	22	individual	individual	ADJ
fuelectenerg-3144	1013	23	encodings	encoding	NOUN
fuelectenerg-3144	1013	24	are	be	AUX
fuelectenerg-3144	1013	25	not	not	PART
fuelectenerg-3144	1013	26	considered	consider	VERB
fuelectenerg-3144	1013	27	at	at	ADP
fuelectenerg-3144	1013	28	compile	compile	NOUN
fuelectenerg-3144	1013	29	time	time	NOUN
fuelectenerg-3144	1013	30	.	.	PUNCT
fuelectenerg-3144	1014	1	individual	individual	ADJ
fuelectenerg-3144	1014	2	encodings	encoding	NOUN
fuelectenerg-3144	1014	3	are	be	AUX
fuelectenerg-3144	1014	4	only	only	ADV
fuelectenerg-3144	1014	5	considered	consider	VERB
fuelectenerg-3144	1014	6	at	at	ADP
fuelectenerg-3144	1014	7	run	run	NOUN
fuelectenerg-3144	1014	8	time	time	NOUN
fuelectenerg-3144	1014	9	,	,	PUNCT
fuelectenerg-3144	1014	10	when	when	SCONJ
fuelectenerg-3144	1014	11	grover	grover	PROPN
fuelectenerg-3144	1014	12	’s	’s	PART
fuelectenerg-3144	1014	13	algorithm	algorithm	NOUN
fuelectenerg-3144	1014	14	is	be	AUX
fuelectenerg-3144	1014	15	used	use	VERB
fuelectenerg-3144	1014	16	to	to	PART
fuelectenerg-3144	1014	17	simultaneously	simultaneously	ADV
fuelectenerg-3144	1014	18	evaluate	evaluate	VERB
fuelectenerg-3144	1014	19	the	the	DET
fuelectenerg-3144	1014	20	cost	cost	NOUN
fuelectenerg-3144	1014	21	of	of	ADP
fuelectenerg-3144	1014	22	every	every	DET
fuelectenerg-3144	1014	23	possible	possible	ADJ
fuelectenerg-3144	1014	24	encoding	encoding	NOUN
fuelectenerg-3144	1014	25	in	in	ADP
fuelectenerg-3144	1014	26	the	the	DET
fuelectenerg-3144	1014	27	search	search	NOUN
fuelectenerg-3144	1014	28	space	space	NOUN
fuelectenerg-3144	1014	29	.	.	PUNCT
fuelectenerg-3144	1015	1	thus	thus	ADV
fuelectenerg-3144	1015	2	,	,	PUNCT
fuelectenerg-3144	1015	3	in	in	ADP
fuelectenerg-3144	1015	4	a	a	DET
fuelectenerg-3144	1015	5	single	single	ADJ
fuelectenerg-3144	1015	6	run	run	NOUN
fuelectenerg-3144	1015	7	of	of	ADP
fuelectenerg-3144	1015	8	grover	grover	NOUN
fuelectenerg-3144	1015	9	’s	’s	PART
fuelectenerg-3144	1015	10	algorithm	algorithm	NOUN
fuelectenerg-3144	1015	11	,	,	PUNCT
fuelectenerg-3144	1015	12	the	the	DET
fuelectenerg-3144	1015	13	same	same	ADJ
fuelectenerg-3144	1015	14	quantum	quantum	NOUN
fuelectenerg-3144	1015	15	circuit	circuit	NOUN
fuelectenerg-3144	1015	16	must	must	AUX
fuelectenerg-3144	1015	17	be	be	AUX
fuelectenerg-3144	1015	18	able	able	ADJ
fuelectenerg-3144	1015	19	to	to	PART
fuelectenerg-3144	1015	20	evaluate	evaluate	VERB
fuelectenerg-3144	1015	21	any	any	DET
fuelectenerg-3144	1015	22	encoding	encoding	NOUN
fuelectenerg-3144	1015	23	in	in	ADP
fuelectenerg-3144	1015	24	the	the	DET
fuelectenerg-3144	1015	25	search	search	NOUN
fuelectenerg-3144	1015	26	space	space	NOUN
fuelectenerg-3144	1015	27	without	without	ADP
fuelectenerg-3144	1015	28	any	any	DET
fuelectenerg-3144	1015	29	modifications	modification	NOUN
fuelectenerg-3144	1015	30	.	.	PUNCT
fuelectenerg-3144	1016	1	5.3	5.3	NUM
fuelectenerg-3144	1016	2	quantum	quantum	NOUN
fuelectenerg-3144	1016	3	circuit	circuit	NOUN
fuelectenerg-3144	1016	4	to	to	PART
fuelectenerg-3144	1016	5	calculate	calculate	VERB
fuelectenerg-3144	1016	6	total	total	ADJ
fuelectenerg-3144	1016	7	cost	cost	NOUN
fuelectenerg-3144	1016	8	of	of	ADP
fuelectenerg-3144	1016	9	an	an	DET
fuelectenerg-3144	1016	10	encoding	encoding	NOUN
fuelectenerg-3144	1016	11	with	with	ADP
fuelectenerg-3144	1016	12	the	the	DET
fuelectenerg-3144	1016	13	ability	ability	NOUN
fuelectenerg-3144	1016	14	to	to	PART
fuelectenerg-3144	1016	15	generate	generate	VERB
fuelectenerg-3144	1016	16	a	a	DET
fuelectenerg-3144	1016	17	quantum	quantum	ADJ
fuelectenerg-3144	1016	18	circuit	circuit	NOUN
fuelectenerg-3144	1016	19	to	to	PART
fuelectenerg-3144	1016	20	evaluate	evaluate	VERB
fuelectenerg-3144	1016	21	eq	eq	ADP
fuelectenerg-3144	1016	22	.	.	PROPN
fuelectenerg-3144	1016	23	1	1	NUM
fuelectenerg-3144	1016	24	or	or	CCONJ
fuelectenerg-3144	1016	25	2	2	NUM
fuelectenerg-3144	1016	26	for	for	ADP
fuelectenerg-3144	1016	27	any	any	DET
fuelectenerg-3144	1016	28	i	i	PROPN
fuelectenerg-3144	1016	29	,	,	PUNCT
fuelectenerg-3144	1016	30	j	j	PROPN
fuelectenerg-3144	1016	31	,	,	PUNCT
fuelectenerg-3144	1016	32	and	and	CCONJ
fuelectenerg-3144	1016	33	pair	pair	NOUN
fuelectenerg-3144	1016	34	of	of	ADP
fuelectenerg-3144	1016	35	states	state	NOUN
fuelectenerg-3144	1016	36	or	or	CCONJ
fuelectenerg-3144	1016	37	inputs	input	NOUN
fuelectenerg-3144	1016	38	,	,	PUNCT
fuelectenerg-3144	1016	39	we	we	PRON
fuelectenerg-3144	1016	40	now	now	ADV
fuelectenerg-3144	1016	41	consider	consider	VERB
fuelectenerg-3144	1016	42	the	the	DET
fuelectenerg-3144	1016	43	task	task	NOUN
fuelectenerg-3144	1016	44	of	of	ADP
fuelectenerg-3144	1016	45	designing	design	VERB
fuelectenerg-3144	1016	46	a	a	DET
fuelectenerg-3144	1016	47	quantum	quantum	ADJ
fuelectenerg-3144	1016	48	circuit	circuit	NOUN
fuelectenerg-3144	1016	49	to	to	PART
fuelectenerg-3144	1016	50	calculate	calculate	VERB
fuelectenerg-3144	1016	51	the	the	DET
fuelectenerg-3144	1016	52	full	full	ADJ
fuelectenerg-3144	1016	53	cost	cost	NOUN
fuelectenerg-3144	1016	54	of	of	ADP
fuelectenerg-3144	1016	55	a	a	DET
fuelectenerg-3144	1016	56	given	give	VERB
fuelectenerg-3144	1016	57	encoding	encoding	NOUN
fuelectenerg-3144	1016	58	.	.	PUNCT
fuelectenerg-3144	1017	1	following	follow	VERB
fuelectenerg-3144	1017	2	the	the	DET
fuelectenerg-3144	1017	3	procedure	procedure	NOUN
fuelectenerg-3144	1017	4	from	from	ADP
fuelectenerg-3144	1017	5	section	section	NOUN
fuelectenerg-3144	1017	6	4.1	4.1	NUM
fuelectenerg-3144	1017	7	,	,	PUNCT
fuelectenerg-3144	1017	8	the	the	DET
fuelectenerg-3144	1017	9	quantum	quantum	ADJ
fuelectenerg-3144	1017	10	circuit	circuit	NOUN
fuelectenerg-3144	1017	11	determines	determine	VERB
fuelectenerg-3144	1017	12	whether	whether	SCONJ
fuelectenerg-3144	1017	13	a	a	DET
fuelectenerg-3144	1017	14	given	give	VERB
fuelectenerg-3144	1017	15	q+	q+	ADV
fuelectenerg-3144	1017	16	i	i	PRON
fuelectenerg-3144	1017	17	depends	depend	VERB
fuelectenerg-3144	1017	18	on	on	ADP
fuelectenerg-3144	1017	19	qj	qj	PROPN
fuelectenerg-3144	1017	20	by	by	ADP
fuelectenerg-3144	1017	21	checking	check	VERB
fuelectenerg-3144	1017	22	if	if	SCONJ
fuelectenerg-3144	1017	23	eq	eq	NOUN
fuelectenerg-3144	1017	24	.	.	PROPN
fuelectenerg-3144	1017	25	1	1	NUM
fuelectenerg-3144	1017	26	is	be	AUX
fuelectenerg-3144	1017	27	satisfied	satisfied	ADJ
fuelectenerg-3144	1017	28	for	for	ADP
fuelectenerg-3144	1017	29	all	all	DET
fuelectenerg-3144	1017	30	possible	possible	ADJ
fuelectenerg-3144	1017	31	pairs	pair	NOUN
fuelectenerg-3144	1017	32	of	of	ADP
fuelectenerg-3144	1017	33	states.10	states.10	ADJ
fuelectenerg-3144	1017	34	figure	figure	NOUN
fuelectenerg-3144	1017	35	16	16	NUM
fuelectenerg-3144	1017	36	shows	show	VERB
fuelectenerg-3144	1017	37	a	a	DET
fuelectenerg-3144	1017	38	circuit	circuit	NOUN
fuelectenerg-3144	1017	39	structure	structure	NOUN
fuelectenerg-3144	1017	40	that	that	PRON
fuelectenerg-3144	1017	41	accomplishes	accomplish	VERB
fuelectenerg-3144	1017	42	this	this	DET
fuelectenerg-3144	1017	43	task	task	NOUN
fuelectenerg-3144	1017	44	.	.	PUNCT
fuelectenerg-3144	1018	1	from	from	ADP
fuelectenerg-3144	1018	2	now	now	ADV
fuelectenerg-3144	1018	3	on	on	ADV
fuelectenerg-3144	1018	4	,	,	PUNCT
fuelectenerg-3144	1018	5	we	we	PRON
fuelectenerg-3144	1018	6	will	will	AUX
fuelectenerg-3144	1018	7	refer	refer	VERB
fuelectenerg-3144	1018	8	to	to	ADP
fuelectenerg-3144	1018	9	this	this	DET
fuelectenerg-3144	1018	10	circuit	circuit	NOUN
fuelectenerg-3144	1018	11	as	as	ADP
fuelectenerg-3144	1018	12	a	a	DET
fuelectenerg-3144	1018	13	dependency	dependency	NOUN
fuelectenerg-3144	1018	14	checker	checker	NOUN
fuelectenerg-3144	1018	15	.	.	PUNCT
fuelectenerg-3144	1019	1	9we	9we	PROPN
fuelectenerg-3144	1019	2	describe	describe	VERB
fuelectenerg-3144	1019	3	the	the	DET
fuelectenerg-3144	1019	4	procedure	procedure	NOUN
fuelectenerg-3144	1019	5	here	here	ADV
fuelectenerg-3144	1019	6	using	use	VERB
fuelectenerg-3144	1019	7	eq	eq	ADP
fuelectenerg-3144	1019	8	.	.	PROPN
fuelectenerg-3144	1019	9	1	1	NUM
fuelectenerg-3144	1019	10	with	with	ADP
fuelectenerg-3144	1019	11	a	a	DET
fuelectenerg-3144	1019	12	pair	pair	NOUN
fuelectenerg-3144	1019	13	of	of	ADP
fuelectenerg-3144	1019	14	states	state	NOUN
fuelectenerg-3144	1019	15	,	,	PUNCT
fuelectenerg-3144	1019	16	but	but	CCONJ
fuelectenerg-3144	1019	17	it	it	PRON
fuelectenerg-3144	1019	18	functions	function	VERB
fuelectenerg-3144	1019	19	equally	equally	ADV
fuelectenerg-3144	1019	20	well	well	ADV
fuelectenerg-3144	1019	21	for	for	ADP
fuelectenerg-3144	1019	22	eq	eq	NOUN
fuelectenerg-3144	1019	23	.	.	PROPN
fuelectenerg-3144	1019	24	2	2	NUM
fuelectenerg-3144	1019	25	with	with	ADP
fuelectenerg-3144	1019	26	a	a	DET
fuelectenerg-3144	1019	27	pair	pair	NOUN
fuelectenerg-3144	1019	28	of	of	ADP
fuelectenerg-3144	1019	29	input	input	NOUN
fuelectenerg-3144	1019	30	values	value	NOUN
fuelectenerg-3144	1019	31	.	.	PUNCT
fuelectenerg-3144	1020	1	10once	10once	NUM
fuelectenerg-3144	1020	2	again	again	ADV
fuelectenerg-3144	1020	3	,	,	PUNCT
fuelectenerg-3144	1020	4	although	although	SCONJ
fuelectenerg-3144	1020	5	we	we	PRON
fuelectenerg-3144	1020	6	use	use	VERB
fuelectenerg-3144	1020	7	dependencies	dependency	NOUN
fuelectenerg-3144	1020	8	on	on	ADP
fuelectenerg-3144	1020	9	state	state	NOUN
fuelectenerg-3144	1020	10	variables	variable	NOUN
fuelectenerg-3144	1020	11	for	for	ADP
fuelectenerg-3144	1020	12	the	the	DET
fuelectenerg-3144	1020	13	sake	sake	NOUN
fuelectenerg-3144	1020	14	of	of	ADP
fuelectenerg-3144	1020	15	explanation	explanation	NOUN
fuelectenerg-3144	1020	16	,	,	PUNCT
fuelectenerg-3144	1020	17	the	the	DET
fuelectenerg-3144	1020	18	whole	whole	ADJ
fuelectenerg-3144	1020	19	discussion	discussion	NOUN
fuelectenerg-3144	1020	20	applies	apply	VERB
fuelectenerg-3144	1020	21	to	to	ADP
fuelectenerg-3144	1020	22	dependencies	dependency	NOUN
fuelectenerg-3144	1020	23	on	on	ADP
fuelectenerg-3144	1020	24	input	input	NOUN
fuelectenerg-3144	1020	25	variables	variable	NOUN
fuelectenerg-3144	1020	26	as	as	ADV
fuelectenerg-3144	1020	27	well	well	ADV
fuelectenerg-3144	1020	28	.	.	PUNCT
fuelectenerg-3144	1021	1	29	29	NUM
fuelectenerg-3144	1021	2	196	196	NUM
fuelectenerg-3144	1021	3	e.	e.	PROPN
fuelectenerg-3144	1021	4	tsai	tsai	PROPN
fuelectenerg-3144	1021	5	,	,	PUNCT
fuelectenerg-3144	1021	6	m.	m.	PROPN
fuelectenerg-3144	1021	7	perkowski	perkowski	PROPN
fuelectenerg-3144	1021	8	a	a	DET
fuelectenerg-3144	1021	9	quantum	quantum	ADJ
fuelectenerg-3144	1021	10	algorithm	algorithm	NOUN
fuelectenerg-3144	1021	11	for	for	ADP
fuelectenerg-3144	1021	12	automata	automata	NOUN
fuelectenerg-3144	1021	13	encoding	encode	VERB
fuelectenerg-3144	1021	14	197	197	NUM
fuelectenerg-3144	1021	15	q1(s1	q1(s1	NOUN
fuelectenerg-3144	1021	16	)	)	PUNCT
fuelectenerg-3144	1021	17	q2(s1	q2(s1	ADJ
fuelectenerg-3144	1021	18	)	)	PUNCT
fuelectenerg-3144	1021	19	qn(s1	qn(s1	NOUN
fuelectenerg-3144	1021	20	)	)	PUNCT
fuelectenerg-3144	1021	21	q1(s2	q1(s2	NOUN
fuelectenerg-3144	1021	22	)	)	PUNCT
fuelectenerg-3144	1021	23	q2(s2	q2(s2	NOUN
fuelectenerg-3144	1021	24	)	)	PUNCT
fuelectenerg-3144	1021	25	qn(s2	qn(s2	NOUN
fuelectenerg-3144	1021	26	)	)	PUNCT
fuelectenerg-3144	1021	27	q1(s3	q1(s3	NOUN
fuelectenerg-3144	1021	28	)	)	PUNCT
fuelectenerg-3144	1021	29	q2(s3	q2(s3	PROPN
fuelectenerg-3144	1021	30	)	)	PUNCT
fuelectenerg-3144	1021	31	qn(s3	qn(s3	NOUN
fuelectenerg-3144	1021	32	)	)	PUNCT
fuelectenerg-3144	1021	33	q1(sn	q1(sn	PUNCT
fuelectenerg-3144	1021	34	)	)	PUNCT
fuelectenerg-3144	1021	35	q2(sn	q2(sn	PROPN
fuelectenerg-3144	1021	36	)	)	PUNCT
fuelectenerg-3144	1021	37	qn(sn	qn(sn	PROPN
fuelectenerg-3144	1021	38	)	)	PUNCT
fuelectenerg-3144	1022	1	|0	|0	NUM
fuelectenerg-3144	1022	2	〉	〉	NUM
fuelectenerg-3144	1022	3	a1(s1	a1(s1	NOUN
fuelectenerg-3144	1022	4	,	,	PUNCT
fuelectenerg-3144	1022	5	.	.	PUNCT
fuelectenerg-3144	1022	6	.	.	PUNCT
fuelectenerg-3144	1022	7	.	.	PUNCT
fuelectenerg-3144	1023	1	,	,	PUNCT
fuelectenerg-3144	1023	2	sn	sn	PROPN
fuelectenerg-3144	1023	3	)	)	PUNCT
fuelectenerg-3144	1023	4	(	(	PUNCT
fuelectenerg-3144	1023	5	a	a	X
fuelectenerg-3144	1023	6	)	)	PUNCT
fuelectenerg-3144	1023	7	qi(s1	qi(s1	NOUN
fuelectenerg-3144	1023	8	)	)	PUNCT
fuelectenerg-3144	1023	9	qi(s2	qi(s2	NOUN
fuelectenerg-3144	1023	10	)	)	PUNCT
fuelectenerg-3144	1023	11	qi(s3	qi(s3	NOUN
fuelectenerg-3144	1023	12	)	)	PUNCT
fuelectenerg-3144	1023	13	qi(s4	qi(s4	NOUN
fuelectenerg-3144	1023	14	)	)	PUNCT
fuelectenerg-3144	1023	15	qi(s5	qi(s5	NOUN
fuelectenerg-3144	1023	16	)	)	PUNCT
fuelectenerg-3144	1023	17	qi(s6	qi(s6	NOUN
fuelectenerg-3144	1023	18	)	)	PUNCT
fuelectenerg-3144	1023	19	qi(s7	qi(s7	NOUN
fuelectenerg-3144	1023	20	)	)	PUNCT
fuelectenerg-3144	1023	21	qi(s8	qi(s8	NOUN
fuelectenerg-3144	1023	22	)	)	PUNCT
fuelectenerg-3144	1023	23	|0	|0	NUM
fuelectenerg-3144	1023	24	〉	〉	PROPN
fuelectenerg-3144	1023	25	ai(s1	ai(s1	X
fuelectenerg-3144	1023	26	,	,	PUNCT
fuelectenerg-3144	1023	27	s2	s2	NOUN
fuelectenerg-3144	1023	28	,	,	PUNCT
fuelectenerg-3144	1023	29	s3	s3	PROPN
fuelectenerg-3144	1023	30	)	)	PUNCT
fuelectenerg-3144	1023	31	∧ai(s4	∧ai(s4	PROPN
fuelectenerg-3144	1023	32	,	,	PUNCT
fuelectenerg-3144	1023	33	s5	s5	PROPN
fuelectenerg-3144	1023	34	,	,	PUNCT
fuelectenerg-3144	1023	35	s6	s6	PROPN
fuelectenerg-3144	1023	36	)	)	PUNCT
fuelectenerg-3144	1023	37	∧ai(s7	∧ai(s7	PROPN
fuelectenerg-3144	1023	38	,	,	PUNCT
fuelectenerg-3144	1023	39	s8	s8	PROPN
fuelectenerg-3144	1023	40	)	)	PUNCT
fuelectenerg-3144	1023	41	(	(	PUNCT
fuelectenerg-3144	1023	42	b	b	X
fuelectenerg-3144	1023	43	)	)	PUNCT
fuelectenerg-3144	1023	44	figure	figure	NOUN
fuelectenerg-3144	1023	45	15	15	NUM
fuelectenerg-3144	1023	46	:	:	PUNCT
fuelectenerg-3144	1023	47	(	(	PUNCT
fuelectenerg-3144	1023	48	a	a	X
fuelectenerg-3144	1023	49	)	)	PUNCT
fuelectenerg-3144	1023	50	circuit	circuit	NOUN
fuelectenerg-3144	1023	51	to	to	PART
fuelectenerg-3144	1023	52	evaluate	evaluate	VERB
fuelectenerg-3144	1023	53	a1(s1	a1(s1	NOUN
fuelectenerg-3144	1023	54	,	,	PUNCT
fuelectenerg-3144	1023	55	.	.	PUNCT
fuelectenerg-3144	1023	56	.	.	PUNCT
fuelectenerg-3144	1023	57	.	.	PUNCT
fuelectenerg-3144	1024	1	,	,	PUNCT
fuelectenerg-3144	1024	2	sn	sn	PROPN
fuelectenerg-3144	1024	3	)	)	PUNCT
fuelectenerg-3144	1024	4	for	for	ADP
fuelectenerg-3144	1024	5	an	an	DET
fuelectenerg-3144	1024	6	arbitrary	arbitrary	ADJ
fuelectenerg-3144	1024	7	number	number	NOUN
fuelectenerg-3144	1024	8	of	of	ADP
fuelectenerg-3144	1024	9	states	state	NOUN
fuelectenerg-3144	1024	10	;	;	PUNCT
fuelectenerg-3144	1024	11	(	(	PUNCT
fuelectenerg-3144	1024	12	b	b	X
fuelectenerg-3144	1024	13	)	)	PUNCT
fuelectenerg-3144	1024	14	circuit	circuit	NOUN
fuelectenerg-3144	1024	15	for	for	ADP
fuelectenerg-3144	1024	16	multiple	multiple	ADJ
fuelectenerg-3144	1024	17	sets	set	NOUN
fuelectenerg-3144	1024	18	of	of	ADP
fuelectenerg-3144	1024	19	states	state	NOUN
fuelectenerg-3144	1024	20	.	.	PUNCT
fuelectenerg-3144	1025	1	30	30	NUM
fuelectenerg-3144	1025	2	input	input	NOUN
fuelectenerg-3144	1025	3	qubits	qubit	NOUN
fuelectenerg-3144	1025	4	ancilla	ancilla	NOUN
fuelectenerg-3144	1025	5	qubits	qubit	NOUN
fuelectenerg-3144	1025	6	|0	|0	NUM
fuelectenerg-3144	1025	7	〉	〉	NUM
fuelectenerg-3144	1025	8	|0	|0	NUM
fuelectenerg-3144	1025	9	〉	〉	PROPN
fuelectenerg-3144	1025	10	|0	|0	NUM
fuelectenerg-3144	1025	11	〉	〉	PROPN
fuelectenerg-3144	1025	12	|1	|1	NUM
fuelectenerg-3144	1025	13	〉	〉	PROPN
fuelectenerg-3144	1025	14	s1	s1	NOUN
fuelectenerg-3144	1025	15	,	,	PUNCT
fuelectenerg-3144	1025	16	s2	s2	NOUN
fuelectenerg-3144	1025	17	s1	s1	NOUN
fuelectenerg-3144	1025	18	,	,	PUNCT
fuelectenerg-3144	1025	19	s2s1	s2s1	PROPN
fuelectenerg-3144	1025	20	,	,	PUNCT
fuelectenerg-3144	1025	21	s3	s3	PROPN
fuelectenerg-3144	1025	22	s1	s1	NOUN
fuelectenerg-3144	1025	23	,	,	PUNCT
fuelectenerg-3144	1025	24	s3s3	s3s3	PROPN
fuelectenerg-3144	1025	25	,	,	PUNCT
fuelectenerg-3144	1025	26	s4	s4	PROPN
fuelectenerg-3144	1025	27	s3	s3	PROPN
fuelectenerg-3144	1025	28	,	,	PUNCT
fuelectenerg-3144	1025	29	s4	s4	PROPN
fuelectenerg-3144	1025	30	figure	figure	NOUN
fuelectenerg-3144	1025	31	16	16	NUM
fuelectenerg-3144	1025	32	:	:	PUNCT
fuelectenerg-3144	1025	33	quantum	quantum	ADJ
fuelectenerg-3144	1025	34	circuit	circuit	NOUN
fuelectenerg-3144	1025	35	to	to	PART
fuelectenerg-3144	1025	36	check	check	VERB
fuelectenerg-3144	1025	37	dependency	dependency	NOUN
fuelectenerg-3144	1025	38	of	of	ADP
fuelectenerg-3144	1025	39	q+	q+	PUNCT
fuelectenerg-3144	1025	40	i	i	PRON
fuelectenerg-3144	1025	41	on	on	ADP
fuelectenerg-3144	1025	42	a	a	DET
fuelectenerg-3144	1025	43	single	single	ADJ
fuelectenerg-3144	1025	44	state	state	NOUN
fuelectenerg-3144	1025	45	or	or	CCONJ
fuelectenerg-3144	1025	46	input	input	NOUN
fuelectenerg-3144	1025	47	variable	variable	NOUN
fuelectenerg-3144	1025	48	.	.	PUNCT
fuelectenerg-3144	1026	1	in	in	ADP
fuelectenerg-3144	1026	2	figure	figure	NOUN
fuelectenerg-3144	1026	3	16	16	NUM
fuelectenerg-3144	1026	4	,	,	PUNCT
fuelectenerg-3144	1026	5	the	the	DET
fuelectenerg-3144	1026	6	labeled	label	VERB
fuelectenerg-3144	1026	7	“	"	PUNCT
fuelectenerg-3144	1026	8	input	input	NOUN
fuelectenerg-3144	1026	9	qubits	qubit	NOUN
fuelectenerg-3144	1026	10	”	"	PUNCT
fuelectenerg-3144	1026	11	represent	represent	VERB
fuelectenerg-3144	1026	12	the	the	DET
fuelectenerg-3144	1026	13	entire	entire	ADJ
fuelectenerg-3144	1026	14	collection	collection	NOUN
fuelectenerg-3144	1026	15	of	of	ADP
fuelectenerg-3144	1026	16	qubits	qubit	NOUN
fuelectenerg-3144	1026	17	storing	store	VERB
fuelectenerg-3144	1026	18	the	the	DET
fuelectenerg-3144	1026	19	binary	binary	ADJ
fuelectenerg-3144	1026	20	representation	representation	NOUN
fuelectenerg-3144	1026	21	of	of	ADP
fuelectenerg-3144	1026	22	an	an	DET
fuelectenerg-3144	1026	23	encoding	encoding	NOUN
fuelectenerg-3144	1026	24	,	,	PUNCT
fuelectenerg-3144	1026	25	as	as	SCONJ
fuelectenerg-3144	1026	26	described	describe	VERB
fuelectenerg-3144	1026	27	in	in	ADP
fuelectenerg-3144	1026	28	section	section	NOUN
fuelectenerg-3144	1026	29	5.1	5.1	NUM
fuelectenerg-3144	1026	30	.	.	PUNCT
fuelectenerg-3144	1027	1	each	each	DET
fuelectenerg-3144	1027	2	block	block	NOUN
fuelectenerg-3144	1027	3	represents	represent	VERB
fuelectenerg-3144	1027	4	a	a	DET
fuelectenerg-3144	1027	5	partial	partial	ADJ
fuelectenerg-3144	1027	6	dependency	dependency	NOUN
fuelectenerg-3144	1027	7	checker	checker	NOUN
fuelectenerg-3144	1027	8	that	that	PRON
fuelectenerg-3144	1027	9	checks	check	VERB
fuelectenerg-3144	1027	10	eq	eq	NOUN
fuelectenerg-3144	1027	11	.	.	PROPN
fuelectenerg-3144	1027	12	1	1	NUM
fuelectenerg-3144	1027	13	for	for	ADP
fuelectenerg-3144	1027	14	the	the	DET
fuelectenerg-3144	1027	15	given	give	VERB
fuelectenerg-3144	1027	16	i	i	PROPN
fuelectenerg-3144	1027	17	,	,	PUNCT
fuelectenerg-3144	1027	18	j	j	PROPN
fuelectenerg-3144	1027	19	,	,	PUNCT
fuelectenerg-3144	1027	20	and	and	CCONJ
fuelectenerg-3144	1027	21	the	the	DET
fuelectenerg-3144	1027	22	pair	pair	NOUN
fuelectenerg-3144	1027	23	of	of	ADP
fuelectenerg-3144	1027	24	states	state	NOUN
fuelectenerg-3144	1027	25	with	with	ADP
fuelectenerg-3144	1027	26	which	which	PRON
fuelectenerg-3144	1027	27	it	it	PRON
fuelectenerg-3144	1027	28	is	be	AUX
fuelectenerg-3144	1027	29	labeled	label	VERB
fuelectenerg-3144	1027	30	.	.	PUNCT
fuelectenerg-3144	1028	1	“	"	PUNCT
fuelectenerg-3144	1028	2	ancilla	ancilla	NOUN
fuelectenerg-3144	1028	3	qubits	qubit	NOUN
fuelectenerg-3144	1028	4	”	"	PUNCT
fuelectenerg-3144	1028	5	represents	represent	VERB
fuelectenerg-3144	1028	6	the	the	DET
fuelectenerg-3144	1028	7	ancilla	ancilla	NOUN
fuelectenerg-3144	1028	8	qubits	qubit	NOUN
fuelectenerg-3144	1028	9	that	that	PRON
fuelectenerg-3144	1028	10	are	be	AUX
fuelectenerg-3144	1028	11	used	use	VERB
fuelectenerg-3144	1028	12	by	by	ADP
fuelectenerg-3144	1028	13	these	these	DET
fuelectenerg-3144	1028	14	partial	partial	ADJ
fuelectenerg-3144	1028	15	dependency	dependency	NOUN
fuelectenerg-3144	1028	16	checkers	checker	NOUN
fuelectenerg-3144	1028	17	,	,	PUNCT
fuelectenerg-3144	1028	18	as	as	SCONJ
fuelectenerg-3144	1028	19	shown	show	VERB
fuelectenerg-3144	1028	20	in	in	ADP
fuelectenerg-3144	1028	21	figures	figure	NOUN
fuelectenerg-3144	1028	22	13	13	NUM
fuelectenerg-3144	1028	23	and	and	CCONJ
fuelectenerg-3144	1028	24	14	14	NUM
fuelectenerg-3144	1028	25	.	.	PUNCT
fuelectenerg-3144	1029	1	for	for	ADP
fuelectenerg-3144	1029	2	illustrative	illustrative	ADJ
fuelectenerg-3144	1029	3	purposes	purpose	NOUN
fuelectenerg-3144	1029	4	,	,	PUNCT
fuelectenerg-3144	1029	5	we	we	PRON
fuelectenerg-3144	1029	6	have	have	AUX
fuelectenerg-3144	1029	7	assumed	assume	VERB
fuelectenerg-3144	1029	8	an	an	DET
fuelectenerg-3144	1029	9	fsm	fsm	NOUN
fuelectenerg-3144	1029	10	with	with	ADP
fuelectenerg-3144	1029	11	four	four	NUM
fuelectenerg-3144	1029	12	states	state	NOUN
fuelectenerg-3144	1029	13	,	,	PUNCT
fuelectenerg-3144	1029	14	resulting	result	VERB
fuelectenerg-3144	1029	15	in	in	ADP
fuelectenerg-3144	1029	16	six	six	NUM
fuelectenerg-3144	1029	17	possible	possible	ADJ
fuelectenerg-3144	1029	18	pairs	pair	NOUN
fuelectenerg-3144	1029	19	of	of	ADP
fuelectenerg-3144	1029	20	states	state	NOUN
fuelectenerg-3144	1029	21	;	;	PUNCT
fuelectenerg-3144	1029	22	partial	partial	ADJ
fuelectenerg-3144	1029	23	dependency	dependency	NOUN
fuelectenerg-3144	1029	24	checkers	checker	NOUN
fuelectenerg-3144	1029	25	for	for	ADP
fuelectenerg-3144	1029	26	three	three	NUM
fuelectenerg-3144	1029	27	of	of	ADP
fuelectenerg-3144	1029	28	them	they	PRON
fuelectenerg-3144	1029	29	are	be	AUX
fuelectenerg-3144	1029	30	shown	show	VERB
fuelectenerg-3144	1029	31	.	.	PUNCT
fuelectenerg-3144	1030	1	the	the	DET
fuelectenerg-3144	1030	2	same	same	ADJ
fuelectenerg-3144	1030	3	circuit	circuit	NOUN
fuelectenerg-3144	1030	4	structure	structure	NOUN
fuelectenerg-3144	1030	5	,	,	PUNCT
fuelectenerg-3144	1030	6	scaled	scale	VERB
fuelectenerg-3144	1030	7	up	up	ADP
fuelectenerg-3144	1030	8	to	to	PART
fuelectenerg-3144	1030	9	accommodate	accommodate	VERB
fuelectenerg-3144	1030	10	the	the	DET
fuelectenerg-3144	1030	11	correspondingly	correspondingly	ADV
fuelectenerg-3144	1030	12	larger	large	ADJ
fuelectenerg-3144	1030	13	number	number	NOUN
fuelectenerg-3144	1030	14	of	of	ADP
fuelectenerg-3144	1030	15	subcircuits	subcircuit	NOUN
fuelectenerg-3144	1030	16	,	,	PUNCT
fuelectenerg-3144	1030	17	would	would	AUX
fuelectenerg-3144	1030	18	be	be	AUX
fuelectenerg-3144	1030	19	used	use	VERB
fuelectenerg-3144	1030	20	for	for	ADP
fuelectenerg-3144	1030	21	an	an	DET
fuelectenerg-3144	1030	22	fsm	fsm	NOUN
fuelectenerg-3144	1030	23	with	with	ADP
fuelectenerg-3144	1030	24	more	more	ADJ
fuelectenerg-3144	1030	25	states	state	NOUN
fuelectenerg-3144	1030	26	.	.	PUNCT
fuelectenerg-3144	1031	1	the	the	DET
fuelectenerg-3144	1031	2	output	output	NOUN
fuelectenerg-3144	1031	3	from	from	ADP
fuelectenerg-3144	1031	4	each	each	DET
fuelectenerg-3144	1031	5	partial	partial	ADJ
fuelectenerg-3144	1031	6	dependency	dependency	NOUN
fuelectenerg-3144	1031	7	checker	checker	NOUN
fuelectenerg-3144	1031	8	is	be	AUX
fuelectenerg-3144	1031	9	stored	store	VERB
fuelectenerg-3144	1031	10	on	on	ADP
fuelectenerg-3144	1031	11	an	an	DET
fuelectenerg-3144	1031	12	ancilla	ancilla	NOUN
fuelectenerg-3144	1031	13	qubit	qubit	NOUN
fuelectenerg-3144	1031	14	so	so	SCONJ
fuelectenerg-3144	1031	15	that	that	SCONJ
fuelectenerg-3144	1031	16	the	the	DET
fuelectenerg-3144	1031	17	final	final	ADJ
fuelectenerg-3144	1031	18	result	result	NOUN
fuelectenerg-3144	1031	19	can	can	AUX
fuelectenerg-3144	1031	20	be	be	AUX
fuelectenerg-3144	1031	21	obtained	obtain	VERB
fuelectenerg-3144	1031	22	by	by	ADP
fuelectenerg-3144	1031	23	taking	take	VERB
fuelectenerg-3144	1031	24	their	their	PRON
fuelectenerg-3144	1031	25	logical	logical	ADJ
fuelectenerg-3144	1031	26	and	and	CCONJ
fuelectenerg-3144	1031	27	.	.	PUNCT
fuelectenerg-3144	1032	1	each	each	DET
fuelectenerg-3144	1032	2	partial	partial	ADJ
fuelectenerg-3144	1032	3	dependency	dependency	NOUN
fuelectenerg-3144	1032	4	checker	checker	NOUN
fuelectenerg-3144	1032	5	must	must	AUX
fuelectenerg-3144	1032	6	be	be	AUX
fuelectenerg-3144	1032	7	applied	apply	VERB
fuelectenerg-3144	1032	8	again	again	ADV
fuelectenerg-3144	1032	9	after	after	SCONJ
fuelectenerg-3144	1032	10	the	the	DET
fuelectenerg-3144	1032	11	result	result	NOUN
fuelectenerg-3144	1032	12	is	be	AUX
fuelectenerg-3144	1032	13	computed	compute	VERB
fuelectenerg-3144	1032	14	to	to	PART
fuelectenerg-3144	1032	15	restore	restore	VERB
fuelectenerg-3144	1032	16	the	the	DET
fuelectenerg-3144	1032	17	ancilla	ancilla	NOUN
fuelectenerg-3144	1032	18	qubits	qubit	NOUN
fuelectenerg-3144	1032	19	to	to	ADP
fuelectenerg-3144	1032	20	their	their	PRON
fuelectenerg-3144	1032	21	original	original	ADJ
fuelectenerg-3144	1032	22	states	state	NOUN
fuelectenerg-3144	1032	23	,	,	PUNCT
fuelectenerg-3144	1032	24	which	which	PRON
fuelectenerg-3144	1032	25	,	,	PUNCT
fuelectenerg-3144	1032	26	as	as	SCONJ
fuelectenerg-3144	1032	27	previously	previously	ADV
fuelectenerg-3144	1032	28	discussed	discuss	VERB
fuelectenerg-3144	1032	29	in	in	ADP
fuelectenerg-3144	1032	30	section	section	NOUN
fuelectenerg-3144	1032	31	3.1	3.1	NUM
fuelectenerg-3144	1032	32	,	,	PUNCT
fuelectenerg-3144	1032	33	is	be	AUX
fuelectenerg-3144	1032	34	required	require	VERB
fuelectenerg-3144	1032	35	for	for	ADP
fuelectenerg-3144	1032	36	grover	grover	NOUN
fuelectenerg-3144	1032	37	’s	’s	PART
fuelectenerg-3144	1032	38	algorithm	algorithm	NOUN
fuelectenerg-3144	1032	39	to	to	PART
fuelectenerg-3144	1032	40	work	work	VERB
fuelectenerg-3144	1032	41	correctly	correctly	ADV
fuelectenerg-3144	1032	42	.	.	PUNCT
fuelectenerg-3144	1033	1	the	the	DET
fuelectenerg-3144	1033	2	final	final	ADJ
fuelectenerg-3144	1033	3	output	output	NOUN
fuelectenerg-3144	1033	4	from	from	ADP
fuelectenerg-3144	1033	5	the	the	DET
fuelectenerg-3144	1033	6	dependency	dependency	NOUN
fuelectenerg-3144	1033	7	checker	checker	NOUN
fuelectenerg-3144	1033	8	is	be	AUX
fuelectenerg-3144	1033	9	1	1	NUM
fuelectenerg-3144	1033	10	if	if	SCONJ
fuelectenerg-3144	1033	11	and	and	CCONJ
fuelectenerg-3144	1033	12	only	only	ADV
fuelectenerg-3144	1033	13	if	if	SCONJ
fuelectenerg-3144	1033	14	q+	q+	VERB
fuelectenerg-3144	1033	15	i	i	PRON
fuelectenerg-3144	1033	16	depends	depend	VERB
fuelectenerg-3144	1033	17	on	on	ADP
fuelectenerg-3144	1033	18	qj	qj	PROPN
fuelectenerg-3144	1033	19	.	.	PUNCT
fuelectenerg-3144	1034	1	next	next	ADV
fuelectenerg-3144	1034	2	,	,	PUNCT
fuelectenerg-3144	1034	3	we	we	PRON
fuelectenerg-3144	1034	4	require	require	VERB
fuelectenerg-3144	1034	5	another	another	DET
fuelectenerg-3144	1034	6	quantum	quantum	ADJ
fuelectenerg-3144	1034	7	circuit	circuit	NOUN
fuelectenerg-3144	1034	8	to	to	PART
fuelectenerg-3144	1034	9	calculate	calculate	VERB
fuelectenerg-3144	1034	10	the	the	DET
fuelectenerg-3144	1034	11	total	total	ADJ
fuelectenerg-3144	1034	12	cost	cost	NOUN
fuelectenerg-3144	1034	13	of	of	ADP
fuelectenerg-3144	1034	14	the	the	DET
fuelectenerg-3144	1034	15	encoding	encoding	NOUN
fuelectenerg-3144	1034	16	by	by	ADP
fuelectenerg-3144	1034	17	counting	count	VERB
fuelectenerg-3144	1034	18	the	the	DET
fuelectenerg-3144	1034	19	total	total	ADJ
fuelectenerg-3144	1034	20	number	number	NOUN
fuelectenerg-3144	1034	21	of	of	ADP
fuelectenerg-3144	1034	22	dependencies	dependency	NOUN
fuelectenerg-3144	1034	23	over	over	ADP
fuelectenerg-3144	1034	24	all	all	PRON
fuelectenerg-3144	1034	25	q+	q+	ADP
fuelectenerg-3144	1034	26	i	i	PRON
fuelectenerg-3144	1034	27	.	.	PUNCT
fuelectenerg-3144	1035	1	we	we	PRON
fuelectenerg-3144	1035	2	introduce	introduce	VERB
fuelectenerg-3144	1035	3	a	a	DET
fuelectenerg-3144	1035	4	quantum	quantum	NOUN
fuelectenerg-3144	1035	5	counter	counter	NOUN
fuelectenerg-3144	1035	6	for	for	ADP
fuelectenerg-3144	1035	7	this	this	DET
fuelectenerg-3144	1035	8	purpose	purpose	NOUN
fuelectenerg-3144	1035	9	.	.	PUNCT
fuelectenerg-3144	1036	1	the	the	DET
fuelectenerg-3144	1036	2	quantum	quantum	PROPN
fuelectenerg-3144	1036	3	counter	counter	NOUN
fuelectenerg-3144	1036	4	consists	consist	VERB
fuelectenerg-3144	1036	5	of	of	ADP
fuelectenerg-3144	1036	6	a	a	DET
fuelectenerg-3144	1036	7	register	register	NOUN
fuelectenerg-3144	1036	8	of	of	ADP
fuelectenerg-3144	1036	9	qubits	qubit	NOUN
fuelectenerg-3144	1036	10	,	,	PUNCT
fuelectenerg-3144	1036	11	which	which	PRON
fuelectenerg-3144	1036	12	stores	store	VERB
fuelectenerg-3144	1036	13	an	an	DET
fuelectenerg-3144	1036	14	integer	integer	NOUN
fuelectenerg-3144	1036	15	in	in	ADP
fuelectenerg-3144	1036	16	basetwo	basetwo	PROPN
fuelectenerg-3144	1036	17	representation	representation	NOUN
fuelectenerg-3144	1036	18	,	,	PUNCT
fuelectenerg-3144	1036	19	together	together	ADV
fuelectenerg-3144	1036	20	with	with	ADP
fuelectenerg-3144	1036	21	incrementer	incrementer	NOUN
fuelectenerg-3144	1036	22	circuits	circuit	NOUN
fuelectenerg-3144	1036	23	that	that	PRON
fuelectenerg-3144	1036	24	add	add	VERB
fuelectenerg-3144	1036	25	one	one	NUM
fuelectenerg-3144	1036	26	to	to	ADP
fuelectenerg-3144	1036	27	this	this	DET
fuelectenerg-3144	1036	28	stored	store	VERB
fuelectenerg-3144	1036	29	integer	integer	NOUN
fuelectenerg-3144	1036	30	when	when	SCONJ
fuelectenerg-3144	1036	31	a	a	DET
fuelectenerg-3144	1036	32	control	control	NOUN
fuelectenerg-3144	1036	33	qubit	qubit	NOUN
fuelectenerg-3144	1036	34	is	be	AUX
fuelectenerg-3144	1036	35	in	in	ADP
fuelectenerg-3144	1036	36	the	the	DET
fuelectenerg-3144	1036	37	state	state	NOUN
fuelectenerg-3144	1036	38	|1	|1	PRON
fuelectenerg-3144	1036	39	〉	〉	PROPN
fuelectenerg-3144	1036	40	.	.	PUNCT
fuelectenerg-3144	1037	1	figure	figure	NOUN
fuelectenerg-3144	1037	2	17(a	17(a	NUM
fuelectenerg-3144	1037	3	)	)	PUNCT
fuelectenerg-3144	1037	4	shows	show	VERB
fuelectenerg-3144	1037	5	a	a	DET
fuelectenerg-3144	1037	6	three	three	NUM
fuelectenerg-3144	1037	7	-	-	PUNCT
fuelectenerg-3144	1037	8	qubit	qubit	NOUN
fuelectenerg-3144	1037	9	incrementer	incrementer	NOUN
fuelectenerg-3144	1037	10	.	.	PUNCT
fuelectenerg-3144	1038	1	if	if	SCONJ
fuelectenerg-3144	1038	2	the	the	DET
fuelectenerg-3144	1038	3	input	input	NOUN
fuelectenerg-3144	1038	4	qubits	qubit	NOUN
fuelectenerg-3144	1038	5	represent	represent	VERB
fuelectenerg-3144	1038	6	an	an	DET
fuelectenerg-3144	1038	7	integer	integer	NOUN
fuelectenerg-3144	1038	8	a2a1a0	a2a1a0	PROPN
fuelectenerg-3144	1038	9	,	,	PUNCT
fuelectenerg-3144	1038	10	with	with	ADP
fuelectenerg-3144	1038	11	a2	a2	PROPN
fuelectenerg-3144	1038	12	being	be	AUX
fuelectenerg-3144	1038	13	the	the	DET
fuelectenerg-3144	1038	14	most	most	ADV
fuelectenerg-3144	1038	15	significant	significant	ADJ
fuelectenerg-3144	1038	16	and	and	CCONJ
fuelectenerg-3144	1038	17	a0	a0	NOUN
fuelectenerg-3144	1038	18	being	be	AUX
fuelectenerg-3144	1038	19	the	the	DET
fuelectenerg-3144	1038	20	least	least	ADV
fuelectenerg-3144	1038	21	significant	significant	ADJ
fuelectenerg-3144	1038	22	bit	bit	NOUN
fuelectenerg-3144	1038	23	,	,	PUNCT
fuelectenerg-3144	1038	24	then	then	ADV
fuelectenerg-3144	1038	25	the	the	DET
fuelectenerg-3144	1038	26	output	output	NOUN
fuelectenerg-3144	1038	27	of	of	ADP
fuelectenerg-3144	1038	28	the	the	DET
fuelectenerg-3144	1038	29	incrementer	incrementer	NOUN
fuelectenerg-3144	1038	30	is	be	AUX
fuelectenerg-3144	1038	31	(	(	PUNCT
fuelectenerg-3144	1038	32	the	the	DET
fuelectenerg-3144	1038	33	basetwo	basetwo	PROPN
fuelectenerg-3144	1038	34	representation	representation	NOUN
fuelectenerg-3144	1038	35	of	of	ADP
fuelectenerg-3144	1038	36	)	)	PUNCT
fuelectenerg-3144	1038	37	a2a1a0	a2a1a0	PROPN
fuelectenerg-3144	1038	38	+	+	CCONJ
fuelectenerg-3144	1038	39	1	1	NUM
fuelectenerg-3144	1038	40	mod	mod	NOUN
fuelectenerg-3144	1038	41	23	23	NUM
fuelectenerg-3144	1038	42	.	.	PUNCT
fuelectenerg-3144	1039	1	the	the	DET
fuelectenerg-3144	1039	2	result	result	NOUN
fuelectenerg-3144	1039	3	is	be	AUX
fuelectenerg-3144	1039	4	taken	take	VERB
fuelectenerg-3144	1039	5	modulo	modulo	NOUN
fuelectenerg-3144	1039	6	23	23	NUM
fuelectenerg-3144	1039	7	because	because	SCONJ
fuelectenerg-3144	1039	8	due	due	ADP
fuelectenerg-3144	1039	9	to	to	ADP
fuelectenerg-3144	1039	10	reversibility	reversibility	NOUN
fuelectenerg-3144	1039	11	,	,	PUNCT
fuelectenerg-3144	1039	12	the	the	DET
fuelectenerg-3144	1039	13	maximum	maximum	ADJ
fuelectenerg-3144	1039	14	value	value	NOUN
fuelectenerg-3144	1039	15	of	of	ADP
fuelectenerg-3144	1039	16	23	23	NUM
fuelectenerg-3144	1039	17	−	−	NOUN
fuelectenerg-3144	1039	18	1	1	NUM
fuelectenerg-3144	1039	19	must	must	AUX
fuelectenerg-3144	1039	20	wrap	wrap	VERB
fuelectenerg-3144	1039	21	31	31	NUM
fuelectenerg-3144	1039	22	198	198	NUM
fuelectenerg-3144	1039	23	e.	e.	PROPN
fuelectenerg-3144	1039	24	tsai	tsai	PROPN
fuelectenerg-3144	1039	25	,	,	PUNCT
fuelectenerg-3144	1039	26	m.	m.	PROPN
fuelectenerg-3144	1039	27	perkowski	perkowski	PROPN
fuelectenerg-3144	1039	28	a	a	DET
fuelectenerg-3144	1039	29	quantum	quantum	ADJ
fuelectenerg-3144	1039	30	algorithm	algorithm	NOUN
fuelectenerg-3144	1039	31	for	for	ADP
fuelectenerg-3144	1039	32	automata	automata	NOUN
fuelectenerg-3144	1039	33	encoding	encode	VERB
fuelectenerg-3144	1039	34	199	199	NUM
fuelectenerg-3144	1039	35	q1(s1	q1(s1	NOUN
fuelectenerg-3144	1039	36	)	)	PUNCT
fuelectenerg-3144	1039	37	q2(s1	q2(s1	ADJ
fuelectenerg-3144	1039	38	)	)	PUNCT
fuelectenerg-3144	1039	39	qn(s1	qn(s1	NOUN
fuelectenerg-3144	1039	40	)	)	PUNCT
fuelectenerg-3144	1039	41	q1(s2	q1(s2	NOUN
fuelectenerg-3144	1039	42	)	)	PUNCT
fuelectenerg-3144	1039	43	q2(s2	q2(s2	NOUN
fuelectenerg-3144	1039	44	)	)	PUNCT
fuelectenerg-3144	1039	45	qn(s2	qn(s2	NOUN
fuelectenerg-3144	1039	46	)	)	PUNCT
fuelectenerg-3144	1039	47	q1(s3	q1(s3	NOUN
fuelectenerg-3144	1039	48	)	)	PUNCT
fuelectenerg-3144	1039	49	q2(s3	q2(s3	PROPN
fuelectenerg-3144	1039	50	)	)	PUNCT
fuelectenerg-3144	1039	51	qn(s3	qn(s3	NOUN
fuelectenerg-3144	1039	52	)	)	PUNCT
fuelectenerg-3144	1039	53	q1(sn	q1(sn	PUNCT
fuelectenerg-3144	1039	54	)	)	PUNCT
fuelectenerg-3144	1040	1	q2(sn	q2(sn	PROPN
fuelectenerg-3144	1040	2	)	)	PUNCT
fuelectenerg-3144	1040	3	qn(sn	qn(sn	PROPN
fuelectenerg-3144	1040	4	)	)	PUNCT
fuelectenerg-3144	1041	1	|0	|0	NUM
fuelectenerg-3144	1041	2	〉	〉	NUM
fuelectenerg-3144	1041	3	a1(s1	a1(s1	NOUN
fuelectenerg-3144	1041	4	,	,	PUNCT
fuelectenerg-3144	1041	5	.	.	PUNCT
fuelectenerg-3144	1041	6	.	.	PUNCT
fuelectenerg-3144	1041	7	.	.	PUNCT
fuelectenerg-3144	1042	1	,	,	PUNCT
fuelectenerg-3144	1042	2	sn	sn	PROPN
fuelectenerg-3144	1042	3	)	)	PUNCT
fuelectenerg-3144	1042	4	(	(	PUNCT
fuelectenerg-3144	1042	5	a	a	X
fuelectenerg-3144	1042	6	)	)	PUNCT
fuelectenerg-3144	1042	7	qi(s1	qi(s1	NOUN
fuelectenerg-3144	1042	8	)	)	PUNCT
fuelectenerg-3144	1042	9	qi(s2	qi(s2	NOUN
fuelectenerg-3144	1042	10	)	)	PUNCT
fuelectenerg-3144	1042	11	qi(s3	qi(s3	NOUN
fuelectenerg-3144	1042	12	)	)	PUNCT
fuelectenerg-3144	1042	13	qi(s4	qi(s4	NOUN
fuelectenerg-3144	1042	14	)	)	PUNCT
fuelectenerg-3144	1042	15	qi(s5	qi(s5	NOUN
fuelectenerg-3144	1042	16	)	)	PUNCT
fuelectenerg-3144	1042	17	qi(s6	qi(s6	NOUN
fuelectenerg-3144	1042	18	)	)	PUNCT
fuelectenerg-3144	1042	19	qi(s7	qi(s7	NOUN
fuelectenerg-3144	1042	20	)	)	PUNCT
fuelectenerg-3144	1042	21	qi(s8	qi(s8	NOUN
fuelectenerg-3144	1042	22	)	)	PUNCT
fuelectenerg-3144	1042	23	|0	|0	NUM
fuelectenerg-3144	1042	24	〉	〉	PROPN
fuelectenerg-3144	1042	25	ai(s1	ai(s1	X
fuelectenerg-3144	1042	26	,	,	PUNCT
fuelectenerg-3144	1042	27	s2	s2	NOUN
fuelectenerg-3144	1042	28	,	,	PUNCT
fuelectenerg-3144	1042	29	s3	s3	PROPN
fuelectenerg-3144	1042	30	)	)	PUNCT
fuelectenerg-3144	1042	31	∧ai(s4	∧ai(s4	PROPN
fuelectenerg-3144	1042	32	,	,	PUNCT
fuelectenerg-3144	1042	33	s5	s5	PROPN
fuelectenerg-3144	1042	34	,	,	PUNCT
fuelectenerg-3144	1042	35	s6	s6	PROPN
fuelectenerg-3144	1042	36	)	)	PUNCT
fuelectenerg-3144	1042	37	∧ai(s7	∧ai(s7	PROPN
fuelectenerg-3144	1042	38	,	,	PUNCT
fuelectenerg-3144	1042	39	s8	s8	PROPN
fuelectenerg-3144	1042	40	)	)	PUNCT
fuelectenerg-3144	1042	41	(	(	PUNCT
fuelectenerg-3144	1042	42	b	b	X
fuelectenerg-3144	1042	43	)	)	PUNCT
fuelectenerg-3144	1042	44	figure	figure	NOUN
fuelectenerg-3144	1042	45	15	15	NUM
fuelectenerg-3144	1042	46	:	:	PUNCT
fuelectenerg-3144	1042	47	(	(	PUNCT
fuelectenerg-3144	1042	48	a	a	X
fuelectenerg-3144	1042	49	)	)	PUNCT
fuelectenerg-3144	1042	50	circuit	circuit	NOUN
fuelectenerg-3144	1042	51	to	to	PART
fuelectenerg-3144	1042	52	evaluate	evaluate	VERB
fuelectenerg-3144	1042	53	a1(s1	a1(s1	NOUN
fuelectenerg-3144	1042	54	,	,	PUNCT
fuelectenerg-3144	1042	55	.	.	PUNCT
fuelectenerg-3144	1042	56	.	.	PUNCT
fuelectenerg-3144	1042	57	.	.	PUNCT
fuelectenerg-3144	1043	1	,	,	PUNCT
fuelectenerg-3144	1043	2	sn	sn	PROPN
fuelectenerg-3144	1043	3	)	)	PUNCT
fuelectenerg-3144	1043	4	for	for	ADP
fuelectenerg-3144	1043	5	an	an	DET
fuelectenerg-3144	1043	6	arbitrary	arbitrary	ADJ
fuelectenerg-3144	1043	7	number	number	NOUN
fuelectenerg-3144	1043	8	of	of	ADP
fuelectenerg-3144	1043	9	states	state	NOUN
fuelectenerg-3144	1043	10	;	;	PUNCT
fuelectenerg-3144	1043	11	(	(	PUNCT
fuelectenerg-3144	1043	12	b	b	X
fuelectenerg-3144	1043	13	)	)	PUNCT
fuelectenerg-3144	1043	14	circuit	circuit	NOUN
fuelectenerg-3144	1043	15	for	for	ADP
fuelectenerg-3144	1043	16	multiple	multiple	ADJ
fuelectenerg-3144	1043	17	sets	set	NOUN
fuelectenerg-3144	1043	18	of	of	ADP
fuelectenerg-3144	1043	19	states	state	NOUN
fuelectenerg-3144	1043	20	.	.	PUNCT
fuelectenerg-3144	1044	1	30	30	NUM
fuelectenerg-3144	1044	2	input	input	NOUN
fuelectenerg-3144	1044	3	qubits	qubit	NOUN
fuelectenerg-3144	1044	4	ancilla	ancilla	NOUN
fuelectenerg-3144	1044	5	qubits	qubit	NOUN
fuelectenerg-3144	1044	6	|0	|0	NUM
fuelectenerg-3144	1044	7	〉	〉	NUM
fuelectenerg-3144	1044	8	|0	|0	NUM
fuelectenerg-3144	1044	9	〉	〉	PROPN
fuelectenerg-3144	1044	10	|0	|0	NUM
fuelectenerg-3144	1044	11	〉	〉	PROPN
fuelectenerg-3144	1044	12	|1	|1	NUM
fuelectenerg-3144	1044	13	〉	〉	PROPN
fuelectenerg-3144	1044	14	s1	s1	NOUN
fuelectenerg-3144	1044	15	,	,	PUNCT
fuelectenerg-3144	1044	16	s2	s2	NOUN
fuelectenerg-3144	1044	17	s1	s1	NOUN
fuelectenerg-3144	1044	18	,	,	PUNCT
fuelectenerg-3144	1044	19	s2s1	s2s1	PROPN
fuelectenerg-3144	1044	20	,	,	PUNCT
fuelectenerg-3144	1044	21	s3	s3	PROPN
fuelectenerg-3144	1044	22	s1	s1	NOUN
fuelectenerg-3144	1044	23	,	,	PUNCT
fuelectenerg-3144	1044	24	s3s3	s3s3	PROPN
fuelectenerg-3144	1044	25	,	,	PUNCT
fuelectenerg-3144	1044	26	s4	s4	PROPN
fuelectenerg-3144	1044	27	s3	s3	PROPN
fuelectenerg-3144	1044	28	,	,	PUNCT
fuelectenerg-3144	1044	29	s4	s4	PROPN
fuelectenerg-3144	1044	30	figure	figure	NOUN
fuelectenerg-3144	1044	31	16	16	NUM
fuelectenerg-3144	1044	32	:	:	PUNCT
fuelectenerg-3144	1044	33	quantum	quantum	ADJ
fuelectenerg-3144	1044	34	circuit	circuit	NOUN
fuelectenerg-3144	1044	35	to	to	PART
fuelectenerg-3144	1044	36	check	check	VERB
fuelectenerg-3144	1044	37	dependency	dependency	NOUN
fuelectenerg-3144	1044	38	of	of	ADP
fuelectenerg-3144	1044	39	q+	q+	PUNCT
fuelectenerg-3144	1044	40	i	i	PRON
fuelectenerg-3144	1044	41	on	on	ADP
fuelectenerg-3144	1044	42	a	a	DET
fuelectenerg-3144	1044	43	single	single	ADJ
fuelectenerg-3144	1044	44	state	state	NOUN
fuelectenerg-3144	1044	45	or	or	CCONJ
fuelectenerg-3144	1044	46	input	input	NOUN
fuelectenerg-3144	1044	47	variable	variable	NOUN
fuelectenerg-3144	1044	48	.	.	PUNCT
fuelectenerg-3144	1045	1	in	in	ADP
fuelectenerg-3144	1045	2	figure	figure	NOUN
fuelectenerg-3144	1045	3	16	16	NUM
fuelectenerg-3144	1045	4	,	,	PUNCT
fuelectenerg-3144	1045	5	the	the	DET
fuelectenerg-3144	1045	6	labeled	label	VERB
fuelectenerg-3144	1045	7	“	"	PUNCT
fuelectenerg-3144	1045	8	input	input	NOUN
fuelectenerg-3144	1045	9	qubits	qubit	NOUN
fuelectenerg-3144	1045	10	”	"	PUNCT
fuelectenerg-3144	1045	11	represent	represent	VERB
fuelectenerg-3144	1045	12	the	the	DET
fuelectenerg-3144	1045	13	entire	entire	ADJ
fuelectenerg-3144	1045	14	collection	collection	NOUN
fuelectenerg-3144	1045	15	of	of	ADP
fuelectenerg-3144	1045	16	qubits	qubit	NOUN
fuelectenerg-3144	1045	17	storing	store	VERB
fuelectenerg-3144	1045	18	the	the	DET
fuelectenerg-3144	1045	19	binary	binary	ADJ
fuelectenerg-3144	1045	20	representation	representation	NOUN
fuelectenerg-3144	1045	21	of	of	ADP
fuelectenerg-3144	1045	22	an	an	DET
fuelectenerg-3144	1045	23	encoding	encoding	NOUN
fuelectenerg-3144	1045	24	,	,	PUNCT
fuelectenerg-3144	1045	25	as	as	SCONJ
fuelectenerg-3144	1045	26	described	describe	VERB
fuelectenerg-3144	1045	27	in	in	ADP
fuelectenerg-3144	1045	28	section	section	NOUN
fuelectenerg-3144	1045	29	5.1	5.1	NUM
fuelectenerg-3144	1045	30	.	.	PUNCT
fuelectenerg-3144	1046	1	each	each	DET
fuelectenerg-3144	1046	2	block	block	NOUN
fuelectenerg-3144	1046	3	represents	represent	VERB
fuelectenerg-3144	1046	4	a	a	DET
fuelectenerg-3144	1046	5	partial	partial	ADJ
fuelectenerg-3144	1046	6	dependency	dependency	NOUN
fuelectenerg-3144	1046	7	checker	checker	NOUN
fuelectenerg-3144	1046	8	that	that	PRON
fuelectenerg-3144	1046	9	checks	check	VERB
fuelectenerg-3144	1046	10	eq	eq	NOUN
fuelectenerg-3144	1046	11	.	.	PROPN
fuelectenerg-3144	1046	12	1	1	NUM
fuelectenerg-3144	1046	13	for	for	ADP
fuelectenerg-3144	1046	14	the	the	DET
fuelectenerg-3144	1046	15	given	give	VERB
fuelectenerg-3144	1046	16	i	i	PROPN
fuelectenerg-3144	1046	17	,	,	PUNCT
fuelectenerg-3144	1046	18	j	j	PROPN
fuelectenerg-3144	1046	19	,	,	PUNCT
fuelectenerg-3144	1046	20	and	and	CCONJ
fuelectenerg-3144	1046	21	the	the	DET
fuelectenerg-3144	1046	22	pair	pair	NOUN
fuelectenerg-3144	1046	23	of	of	ADP
fuelectenerg-3144	1046	24	states	state	NOUN
fuelectenerg-3144	1046	25	with	with	ADP
fuelectenerg-3144	1046	26	which	which	PRON
fuelectenerg-3144	1046	27	it	it	PRON
fuelectenerg-3144	1046	28	is	be	AUX
fuelectenerg-3144	1046	29	labeled	label	VERB
fuelectenerg-3144	1046	30	.	.	PUNCT
fuelectenerg-3144	1047	1	“	"	PUNCT
fuelectenerg-3144	1047	2	ancilla	ancilla	NOUN
fuelectenerg-3144	1047	3	qubits	qubit	NOUN
fuelectenerg-3144	1047	4	”	"	PUNCT
fuelectenerg-3144	1047	5	represents	represent	VERB
fuelectenerg-3144	1047	6	the	the	DET
fuelectenerg-3144	1047	7	ancilla	ancilla	NOUN
fuelectenerg-3144	1047	8	qubits	qubit	NOUN
fuelectenerg-3144	1047	9	that	that	PRON
fuelectenerg-3144	1047	10	are	be	AUX
fuelectenerg-3144	1047	11	used	use	VERB
fuelectenerg-3144	1047	12	by	by	ADP
fuelectenerg-3144	1047	13	these	these	DET
fuelectenerg-3144	1047	14	partial	partial	ADJ
fuelectenerg-3144	1047	15	dependency	dependency	NOUN
fuelectenerg-3144	1047	16	checkers	checker	NOUN
fuelectenerg-3144	1047	17	,	,	PUNCT
fuelectenerg-3144	1047	18	as	as	SCONJ
fuelectenerg-3144	1047	19	shown	show	VERB
fuelectenerg-3144	1047	20	in	in	ADP
fuelectenerg-3144	1047	21	figures	figure	NOUN
fuelectenerg-3144	1047	22	13	13	NUM
fuelectenerg-3144	1047	23	and	and	CCONJ
fuelectenerg-3144	1047	24	14	14	NUM
fuelectenerg-3144	1047	25	.	.	PUNCT
fuelectenerg-3144	1048	1	for	for	ADP
fuelectenerg-3144	1048	2	illustrative	illustrative	ADJ
fuelectenerg-3144	1048	3	purposes	purpose	NOUN
fuelectenerg-3144	1048	4	,	,	PUNCT
fuelectenerg-3144	1048	5	we	we	PRON
fuelectenerg-3144	1048	6	have	have	AUX
fuelectenerg-3144	1048	7	assumed	assume	VERB
fuelectenerg-3144	1048	8	an	an	DET
fuelectenerg-3144	1048	9	fsm	fsm	NOUN
fuelectenerg-3144	1048	10	with	with	ADP
fuelectenerg-3144	1048	11	four	four	NUM
fuelectenerg-3144	1048	12	states	state	NOUN
fuelectenerg-3144	1048	13	,	,	PUNCT
fuelectenerg-3144	1048	14	resulting	result	VERB
fuelectenerg-3144	1048	15	in	in	ADP
fuelectenerg-3144	1048	16	six	six	NUM
fuelectenerg-3144	1048	17	possible	possible	ADJ
fuelectenerg-3144	1048	18	pairs	pair	NOUN
fuelectenerg-3144	1048	19	of	of	ADP
fuelectenerg-3144	1048	20	states	state	NOUN
fuelectenerg-3144	1048	21	;	;	PUNCT
fuelectenerg-3144	1048	22	partial	partial	ADJ
fuelectenerg-3144	1048	23	dependency	dependency	NOUN
fuelectenerg-3144	1048	24	checkers	checker	NOUN
fuelectenerg-3144	1048	25	for	for	ADP
fuelectenerg-3144	1048	26	three	three	NUM
fuelectenerg-3144	1048	27	of	of	ADP
fuelectenerg-3144	1048	28	them	they	PRON
fuelectenerg-3144	1048	29	are	be	AUX
fuelectenerg-3144	1048	30	shown	show	VERB
fuelectenerg-3144	1048	31	.	.	PUNCT
fuelectenerg-3144	1049	1	the	the	DET
fuelectenerg-3144	1049	2	same	same	ADJ
fuelectenerg-3144	1049	3	circuit	circuit	NOUN
fuelectenerg-3144	1049	4	structure	structure	NOUN
fuelectenerg-3144	1049	5	,	,	PUNCT
fuelectenerg-3144	1049	6	scaled	scale	VERB
fuelectenerg-3144	1049	7	up	up	ADP
fuelectenerg-3144	1049	8	to	to	PART
fuelectenerg-3144	1049	9	accommodate	accommodate	VERB
fuelectenerg-3144	1049	10	the	the	DET
fuelectenerg-3144	1049	11	correspondingly	correspondingly	ADV
fuelectenerg-3144	1049	12	larger	large	ADJ
fuelectenerg-3144	1049	13	number	number	NOUN
fuelectenerg-3144	1049	14	of	of	ADP
fuelectenerg-3144	1049	15	subcircuits	subcircuit	NOUN
fuelectenerg-3144	1049	16	,	,	PUNCT
fuelectenerg-3144	1049	17	would	would	AUX
fuelectenerg-3144	1049	18	be	be	AUX
fuelectenerg-3144	1049	19	used	use	VERB
fuelectenerg-3144	1049	20	for	for	ADP
fuelectenerg-3144	1049	21	an	an	DET
fuelectenerg-3144	1049	22	fsm	fsm	NOUN
fuelectenerg-3144	1049	23	with	with	ADP
fuelectenerg-3144	1049	24	more	more	ADJ
fuelectenerg-3144	1049	25	states	state	NOUN
fuelectenerg-3144	1049	26	.	.	PUNCT
fuelectenerg-3144	1050	1	the	the	DET
fuelectenerg-3144	1050	2	output	output	NOUN
fuelectenerg-3144	1050	3	from	from	ADP
fuelectenerg-3144	1050	4	each	each	DET
fuelectenerg-3144	1050	5	partial	partial	ADJ
fuelectenerg-3144	1050	6	dependency	dependency	NOUN
fuelectenerg-3144	1050	7	checker	checker	NOUN
fuelectenerg-3144	1050	8	is	be	AUX
fuelectenerg-3144	1050	9	stored	store	VERB
fuelectenerg-3144	1050	10	on	on	ADP
fuelectenerg-3144	1050	11	an	an	DET
fuelectenerg-3144	1050	12	ancilla	ancilla	NOUN
fuelectenerg-3144	1050	13	qubit	qubit	NOUN
fuelectenerg-3144	1050	14	so	so	SCONJ
fuelectenerg-3144	1050	15	that	that	SCONJ
fuelectenerg-3144	1050	16	the	the	DET
fuelectenerg-3144	1050	17	final	final	ADJ
fuelectenerg-3144	1050	18	result	result	NOUN
fuelectenerg-3144	1050	19	can	can	AUX
fuelectenerg-3144	1050	20	be	be	AUX
fuelectenerg-3144	1050	21	obtained	obtain	VERB
fuelectenerg-3144	1050	22	by	by	ADP
fuelectenerg-3144	1050	23	taking	take	VERB
fuelectenerg-3144	1050	24	their	their	PRON
fuelectenerg-3144	1050	25	logical	logical	ADJ
fuelectenerg-3144	1050	26	and	and	CCONJ
fuelectenerg-3144	1050	27	.	.	PUNCT
fuelectenerg-3144	1051	1	each	each	DET
fuelectenerg-3144	1051	2	partial	partial	ADJ
fuelectenerg-3144	1051	3	dependency	dependency	NOUN
fuelectenerg-3144	1051	4	checker	checker	NOUN
fuelectenerg-3144	1051	5	must	must	AUX
fuelectenerg-3144	1051	6	be	be	AUX
fuelectenerg-3144	1051	7	applied	apply	VERB
fuelectenerg-3144	1051	8	again	again	ADV
fuelectenerg-3144	1051	9	after	after	SCONJ
fuelectenerg-3144	1051	10	the	the	DET
fuelectenerg-3144	1051	11	result	result	NOUN
fuelectenerg-3144	1051	12	is	be	AUX
fuelectenerg-3144	1051	13	computed	compute	VERB
fuelectenerg-3144	1051	14	to	to	PART
fuelectenerg-3144	1051	15	restore	restore	VERB
fuelectenerg-3144	1051	16	the	the	DET
fuelectenerg-3144	1051	17	ancilla	ancilla	NOUN
fuelectenerg-3144	1051	18	qubits	qubit	NOUN
fuelectenerg-3144	1051	19	to	to	ADP
fuelectenerg-3144	1051	20	their	their	PRON
fuelectenerg-3144	1051	21	original	original	ADJ
fuelectenerg-3144	1051	22	states	state	NOUN
fuelectenerg-3144	1051	23	,	,	PUNCT
fuelectenerg-3144	1051	24	which	which	PRON
fuelectenerg-3144	1051	25	,	,	PUNCT
fuelectenerg-3144	1051	26	as	as	SCONJ
fuelectenerg-3144	1051	27	previously	previously	ADV
fuelectenerg-3144	1051	28	discussed	discuss	VERB
fuelectenerg-3144	1051	29	in	in	ADP
fuelectenerg-3144	1051	30	section	section	NOUN
fuelectenerg-3144	1051	31	3.1	3.1	NUM
fuelectenerg-3144	1051	32	,	,	PUNCT
fuelectenerg-3144	1051	33	is	be	AUX
fuelectenerg-3144	1051	34	required	require	VERB
fuelectenerg-3144	1051	35	for	for	ADP
fuelectenerg-3144	1051	36	grover	grover	NOUN
fuelectenerg-3144	1051	37	’s	’s	PART
fuelectenerg-3144	1051	38	algorithm	algorithm	NOUN
fuelectenerg-3144	1051	39	to	to	PART
fuelectenerg-3144	1051	40	work	work	VERB
fuelectenerg-3144	1051	41	correctly	correctly	ADV
fuelectenerg-3144	1051	42	.	.	PUNCT
fuelectenerg-3144	1052	1	the	the	DET
fuelectenerg-3144	1052	2	final	final	ADJ
fuelectenerg-3144	1052	3	output	output	NOUN
fuelectenerg-3144	1052	4	from	from	ADP
fuelectenerg-3144	1052	5	the	the	DET
fuelectenerg-3144	1052	6	dependency	dependency	NOUN
fuelectenerg-3144	1052	7	checker	checker	NOUN
fuelectenerg-3144	1052	8	is	be	AUX
fuelectenerg-3144	1052	9	1	1	NUM
fuelectenerg-3144	1052	10	if	if	SCONJ
fuelectenerg-3144	1052	11	and	and	CCONJ
fuelectenerg-3144	1052	12	only	only	ADV
fuelectenerg-3144	1052	13	if	if	SCONJ
fuelectenerg-3144	1052	14	q+	q+	VERB
fuelectenerg-3144	1052	15	i	i	PRON
fuelectenerg-3144	1052	16	depends	depend	VERB
fuelectenerg-3144	1052	17	on	on	ADP
fuelectenerg-3144	1052	18	qj	qj	PROPN
fuelectenerg-3144	1052	19	.	.	PUNCT
fuelectenerg-3144	1053	1	next	next	ADV
fuelectenerg-3144	1053	2	,	,	PUNCT
fuelectenerg-3144	1053	3	we	we	PRON
fuelectenerg-3144	1053	4	require	require	VERB
fuelectenerg-3144	1053	5	another	another	DET
fuelectenerg-3144	1053	6	quantum	quantum	ADJ
fuelectenerg-3144	1053	7	circuit	circuit	NOUN
fuelectenerg-3144	1053	8	to	to	PART
fuelectenerg-3144	1053	9	calculate	calculate	VERB
fuelectenerg-3144	1053	10	the	the	DET
fuelectenerg-3144	1053	11	total	total	ADJ
fuelectenerg-3144	1053	12	cost	cost	NOUN
fuelectenerg-3144	1053	13	of	of	ADP
fuelectenerg-3144	1053	14	the	the	DET
fuelectenerg-3144	1053	15	encoding	encoding	NOUN
fuelectenerg-3144	1053	16	by	by	ADP
fuelectenerg-3144	1053	17	counting	count	VERB
fuelectenerg-3144	1053	18	the	the	DET
fuelectenerg-3144	1053	19	total	total	ADJ
fuelectenerg-3144	1053	20	number	number	NOUN
fuelectenerg-3144	1053	21	of	of	ADP
fuelectenerg-3144	1053	22	dependencies	dependency	NOUN
fuelectenerg-3144	1053	23	over	over	ADP
fuelectenerg-3144	1053	24	all	all	PRON
fuelectenerg-3144	1053	25	q+	q+	ADP
fuelectenerg-3144	1053	26	i	i	PRON
fuelectenerg-3144	1053	27	.	.	PUNCT
fuelectenerg-3144	1054	1	we	we	PRON
fuelectenerg-3144	1054	2	introduce	introduce	VERB
fuelectenerg-3144	1054	3	a	a	DET
fuelectenerg-3144	1054	4	quantum	quantum	NOUN
fuelectenerg-3144	1054	5	counter	counter	NOUN
fuelectenerg-3144	1054	6	for	for	ADP
fuelectenerg-3144	1054	7	this	this	DET
fuelectenerg-3144	1054	8	purpose	purpose	NOUN
fuelectenerg-3144	1054	9	.	.	PUNCT
fuelectenerg-3144	1055	1	the	the	DET
fuelectenerg-3144	1055	2	quantum	quantum	PROPN
fuelectenerg-3144	1055	3	counter	counter	NOUN
fuelectenerg-3144	1055	4	consists	consist	VERB
fuelectenerg-3144	1055	5	of	of	ADP
fuelectenerg-3144	1055	6	a	a	DET
fuelectenerg-3144	1055	7	register	register	NOUN
fuelectenerg-3144	1055	8	of	of	ADP
fuelectenerg-3144	1055	9	qubits	qubit	NOUN
fuelectenerg-3144	1055	10	,	,	PUNCT
fuelectenerg-3144	1055	11	which	which	PRON
fuelectenerg-3144	1055	12	stores	store	VERB
fuelectenerg-3144	1055	13	an	an	DET
fuelectenerg-3144	1055	14	integer	integer	NOUN
fuelectenerg-3144	1055	15	in	in	ADP
fuelectenerg-3144	1055	16	basetwo	basetwo	PROPN
fuelectenerg-3144	1055	17	representation	representation	NOUN
fuelectenerg-3144	1055	18	,	,	PUNCT
fuelectenerg-3144	1055	19	together	together	ADV
fuelectenerg-3144	1055	20	with	with	ADP
fuelectenerg-3144	1055	21	incrementer	incrementer	NOUN
fuelectenerg-3144	1055	22	circuits	circuit	NOUN
fuelectenerg-3144	1055	23	that	that	PRON
fuelectenerg-3144	1055	24	add	add	VERB
fuelectenerg-3144	1055	25	one	one	NUM
fuelectenerg-3144	1055	26	to	to	ADP
fuelectenerg-3144	1055	27	this	this	DET
fuelectenerg-3144	1055	28	stored	store	VERB
fuelectenerg-3144	1055	29	integer	integer	NOUN
fuelectenerg-3144	1055	30	when	when	SCONJ
fuelectenerg-3144	1055	31	a	a	DET
fuelectenerg-3144	1055	32	control	control	NOUN
fuelectenerg-3144	1055	33	qubit	qubit	NOUN
fuelectenerg-3144	1055	34	is	be	AUX
fuelectenerg-3144	1055	35	in	in	ADP
fuelectenerg-3144	1055	36	the	the	DET
fuelectenerg-3144	1055	37	state	state	NOUN
fuelectenerg-3144	1055	38	|1	|1	PRON
fuelectenerg-3144	1055	39	〉	〉	PROPN
fuelectenerg-3144	1055	40	.	.	PUNCT
fuelectenerg-3144	1056	1	figure	figure	NOUN
fuelectenerg-3144	1056	2	17(a	17(a	NUM
fuelectenerg-3144	1056	3	)	)	PUNCT
fuelectenerg-3144	1056	4	shows	show	VERB
fuelectenerg-3144	1056	5	a	a	DET
fuelectenerg-3144	1056	6	three	three	NUM
fuelectenerg-3144	1056	7	-	-	PUNCT
fuelectenerg-3144	1056	8	qubit	qubit	NOUN
fuelectenerg-3144	1056	9	incrementer	incrementer	NOUN
fuelectenerg-3144	1056	10	.	.	PUNCT
fuelectenerg-3144	1057	1	if	if	SCONJ
fuelectenerg-3144	1057	2	the	the	DET
fuelectenerg-3144	1057	3	input	input	NOUN
fuelectenerg-3144	1057	4	qubits	qubit	NOUN
fuelectenerg-3144	1057	5	represent	represent	VERB
fuelectenerg-3144	1057	6	an	an	DET
fuelectenerg-3144	1057	7	integer	integer	NOUN
fuelectenerg-3144	1057	8	a2a1a0	a2a1a0	PROPN
fuelectenerg-3144	1057	9	,	,	PUNCT
fuelectenerg-3144	1057	10	with	with	ADP
fuelectenerg-3144	1057	11	a2	a2	PROPN
fuelectenerg-3144	1057	12	being	be	AUX
fuelectenerg-3144	1057	13	the	the	DET
fuelectenerg-3144	1057	14	most	most	ADV
fuelectenerg-3144	1057	15	significant	significant	ADJ
fuelectenerg-3144	1057	16	and	and	CCONJ
fuelectenerg-3144	1057	17	a0	a0	NOUN
fuelectenerg-3144	1057	18	being	be	AUX
fuelectenerg-3144	1057	19	the	the	DET
fuelectenerg-3144	1057	20	least	least	ADV
fuelectenerg-3144	1057	21	significant	significant	ADJ
fuelectenerg-3144	1057	22	bit	bit	NOUN
fuelectenerg-3144	1057	23	,	,	PUNCT
fuelectenerg-3144	1057	24	then	then	ADV
fuelectenerg-3144	1057	25	the	the	DET
fuelectenerg-3144	1057	26	output	output	NOUN
fuelectenerg-3144	1057	27	of	of	ADP
fuelectenerg-3144	1057	28	the	the	DET
fuelectenerg-3144	1057	29	incrementer	incrementer	NOUN
fuelectenerg-3144	1057	30	is	be	AUX
fuelectenerg-3144	1057	31	(	(	PUNCT
fuelectenerg-3144	1057	32	the	the	DET
fuelectenerg-3144	1057	33	basetwo	basetwo	PROPN
fuelectenerg-3144	1057	34	representation	representation	NOUN
fuelectenerg-3144	1057	35	of	of	ADP
fuelectenerg-3144	1057	36	)	)	PUNCT
fuelectenerg-3144	1057	37	a2a1a0	a2a1a0	PROPN
fuelectenerg-3144	1057	38	+	+	CCONJ
fuelectenerg-3144	1057	39	1	1	NUM
fuelectenerg-3144	1057	40	mod	mod	NOUN
fuelectenerg-3144	1057	41	23	23	NUM
fuelectenerg-3144	1057	42	.	.	PUNCT
fuelectenerg-3144	1058	1	the	the	DET
fuelectenerg-3144	1058	2	result	result	NOUN
fuelectenerg-3144	1058	3	is	be	AUX
fuelectenerg-3144	1058	4	taken	take	VERB
fuelectenerg-3144	1058	5	modulo	modulo	NOUN
fuelectenerg-3144	1058	6	23	23	NUM
fuelectenerg-3144	1058	7	because	because	SCONJ
fuelectenerg-3144	1058	8	due	due	ADP
fuelectenerg-3144	1058	9	to	to	ADP
fuelectenerg-3144	1058	10	reversibility	reversibility	NOUN
fuelectenerg-3144	1058	11	,	,	PUNCT
fuelectenerg-3144	1058	12	the	the	DET
fuelectenerg-3144	1058	13	maximum	maximum	ADJ
fuelectenerg-3144	1058	14	value	value	NOUN
fuelectenerg-3144	1058	15	of	of	ADP
fuelectenerg-3144	1058	16	23	23	NUM
fuelectenerg-3144	1058	17	−	−	NOUN
fuelectenerg-3144	1058	18	1	1	NUM
fuelectenerg-3144	1058	19	must	must	AUX
fuelectenerg-3144	1058	20	wrap	wrap	VERB
fuelectenerg-3144	1058	21	31	31	NUM
fuelectenerg-3144	1058	22	198	198	NUM
fuelectenerg-3144	1058	23	e.	e.	PROPN
fuelectenerg-3144	1058	24	tsai	tsai	PROPN
fuelectenerg-3144	1058	25	,	,	PUNCT
fuelectenerg-3144	1058	26	m.	m.	PROPN
fuelectenerg-3144	1058	27	perkowski	perkowski	PROPN
fuelectenerg-3144	1058	28	a	a	DET
fuelectenerg-3144	1058	29	quantum	quantum	ADJ
fuelectenerg-3144	1058	30	algorithm	algorithm	NOUN
fuelectenerg-3144	1058	31	for	for	ADP
fuelectenerg-3144	1058	32	automata	automata	NOUN
fuelectenerg-3144	1058	33	encoding	encode	VERB
fuelectenerg-3144	1058	34	199	199	NUM
fuelectenerg-3144	1058	35	a2	a2	PROPN
fuelectenerg-3144	1058	36	a1	a1	NOUN
fuelectenerg-3144	1058	37	a0	a0	NOUN
fuelectenerg-3144	1058	38	(	(	PUNCT
fuelectenerg-3144	1058	39	a2a1a0)2	a2a1a0)2	PROPN
fuelectenerg-3144	1058	40	+	+	SYM
fuelectenerg-3144	1058	41	1	1	NUM
fuelectenerg-3144	1058	42	mod	mod	NOUN
fuelectenerg-3144	1058	43	23	23	NUM
fuelectenerg-3144	1058	44	(	(	PUNCT
fuelectenerg-3144	1058	45	a	a	PRON
fuelectenerg-3144	1058	46	)	)	PUNCT
fuelectenerg-3144	1058	47	a2	a2	PROPN
fuelectenerg-3144	1058	48	a1	a1	NOUN
fuelectenerg-3144	1058	49	a0	a0	PROPN
fuelectenerg-3144	1058	50	an	an	DET
fuelectenerg-3144	1058	51	(	(	PUNCT
fuelectenerg-3144	1058	52	b	b	NOUN
fuelectenerg-3144	1058	53	)	)	PUNCT
fuelectenerg-3144	1058	54	a2	a2	PROPN
fuelectenerg-3144	1058	55	a1	a1	NOUN
fuelectenerg-3144	1058	56	a0	a0	PROPN
fuelectenerg-3144	1058	57	an	an	DET
fuelectenerg-3144	1058	58	c	c	PROPN
fuelectenerg-3144	1058	59	(	(	PUNCT
fuelectenerg-3144	1058	60	c	c	NOUN
fuelectenerg-3144	1058	61	)	)	PUNCT
fuelectenerg-3144	1058	62	c	c	NOUN
fuelectenerg-3144	1058	63	anan−1	anan−1	PROPN
fuelectenerg-3144	1058	64	...	...	PUNCT
fuelectenerg-3144	1058	65	a1a0	a1a0	ADP
fuelectenerg-3144	1058	66	n	n	ADV
fuelectenerg-3144	1058	67	+1	+1	NOUN
fuelectenerg-3144	1058	68	(	(	PUNCT
fuelectenerg-3144	1058	69	d	d	NOUN
fuelectenerg-3144	1058	70	)	)	PUNCT
fuelectenerg-3144	1058	71	figure	figure	NOUN
fuelectenerg-3144	1058	72	17	17	NUM
fuelectenerg-3144	1058	73	:	:	PUNCT
fuelectenerg-3144	1058	74	(	(	PUNCT
fuelectenerg-3144	1058	75	a	a	X
fuelectenerg-3144	1058	76	)	)	PUNCT
fuelectenerg-3144	1058	77	a	a	DET
fuelectenerg-3144	1058	78	three	three	NUM
fuelectenerg-3144	1058	79	-	-	PUNCT
fuelectenerg-3144	1058	80	qubit	qubit	NOUN
fuelectenerg-3144	1058	81	incrementer	incrementer	NOUN
fuelectenerg-3144	1058	82	;	;	PUNCT
fuelectenerg-3144	1058	83	(	(	PUNCT
fuelectenerg-3144	1058	84	b	b	X
fuelectenerg-3144	1058	85	)	)	PUNCT
fuelectenerg-3144	1058	86	general	general	ADJ
fuelectenerg-3144	1058	87	n	n	CCONJ
fuelectenerg-3144	1058	88	-	-	PUNCT
fuelectenerg-3144	1058	89	qubit	qubit	NOUN
fuelectenerg-3144	1058	90	incrementer	incrementer	NOUN
fuelectenerg-3144	1058	91	;	;	PUNCT
fuelectenerg-3144	1058	92	(	(	PUNCT
fuelectenerg-3144	1058	93	c	c	X
fuelectenerg-3144	1058	94	)	)	PUNCT
fuelectenerg-3144	1058	95	controlled	control	VERB
fuelectenerg-3144	1058	96	three	three	NUM
fuelectenerg-3144	1058	97	-	-	PUNCT
fuelectenerg-3144	1058	98	qubit	qubit	NOUN
fuelectenerg-3144	1058	99	incrementer	incrementer	NOUN
fuelectenerg-3144	1058	100	;	;	PUNCT
fuelectenerg-3144	1058	101	(	(	PUNCT
fuelectenerg-3144	1058	102	d	d	X
fuelectenerg-3144	1058	103	)	)	PUNCT
fuelectenerg-3144	1058	104	schematic	schematic	ADJ
fuelectenerg-3144	1058	105	symbol	symbol	NOUN
fuelectenerg-3144	1058	106	for	for	ADP
fuelectenerg-3144	1058	107	the	the	DET
fuelectenerg-3144	1058	108	controlled	control	VERB
fuelectenerg-3144	1058	109	incrementer	incrementer	NOUN
fuelectenerg-3144	1058	110	.	.	PUNCT
fuelectenerg-3144	1059	1	around	around	ADV
fuelectenerg-3144	1059	2	to	to	ADP
fuelectenerg-3144	1059	3	0	0	NUM
fuelectenerg-3144	1059	4	upon	upon	SCONJ
fuelectenerg-3144	1059	5	increment	increment	NOUN
fuelectenerg-3144	1059	6	.	.	PUNCT
fuelectenerg-3144	1060	1	figure	figure	NOUN
fuelectenerg-3144	1060	2	17(b	17(b	NUM
fuelectenerg-3144	1060	3	)	)	PUNCT
fuelectenerg-3144	1060	4	illustrates	illustrate	VERB
fuelectenerg-3144	1060	5	how	how	SCONJ
fuelectenerg-3144	1060	6	the	the	DET
fuelectenerg-3144	1060	7	incrementer	incrementer	NOUN
fuelectenerg-3144	1060	8	is	be	AUX
fuelectenerg-3144	1060	9	extended	extend	VERB
fuelectenerg-3144	1060	10	to	to	ADP
fuelectenerg-3144	1060	11	any	any	DET
fuelectenerg-3144	1060	12	number	number	NOUN
fuelectenerg-3144	1060	13	of	of	ADP
fuelectenerg-3144	1060	14	qubits	qubit	NOUN
fuelectenerg-3144	1060	15	.	.	PUNCT
fuelectenerg-3144	1061	1	figure	figure	VERB
fuelectenerg-3144	1061	2	17(c	17(c	NUM
fuelectenerg-3144	1061	3	)	)	PUNCT
fuelectenerg-3144	1061	4	then	then	ADV
fuelectenerg-3144	1061	5	demonstrates	demonstrate	VERB
fuelectenerg-3144	1061	6	how	how	SCONJ
fuelectenerg-3144	1061	7	,	,	PUNCT
fuelectenerg-3144	1061	8	by	by	ADP
fuelectenerg-3144	1061	9	adding	add	VERB
fuelectenerg-3144	1061	10	an	an	DET
fuelectenerg-3144	1061	11	additional	additional	ADJ
fuelectenerg-3144	1061	12	control	control	NOUN
fuelectenerg-3144	1061	13	qubit	qubit	NOUN
fuelectenerg-3144	1061	14	to	to	ADP
fuelectenerg-3144	1061	15	each	each	DET
fuelectenerg-3144	1061	16	individual	individual	ADJ
fuelectenerg-3144	1061	17	gate	gate	NOUN
fuelectenerg-3144	1061	18	making	make	VERB
fuelectenerg-3144	1061	19	up	up	ADP
fuelectenerg-3144	1061	20	the	the	DET
fuelectenerg-3144	1061	21	incrementer	incrementer	NOUN
fuelectenerg-3144	1061	22	,	,	PUNCT
fuelectenerg-3144	1061	23	a	a	DET
fuelectenerg-3144	1061	24	controlled	control	VERB
fuelectenerg-3144	1061	25	incrementer	incrementer	NOUN
fuelectenerg-3144	1061	26	is	be	AUX
fuelectenerg-3144	1061	27	produced	produce	VERB
fuelectenerg-3144	1061	28	.	.	PUNCT
fuelectenerg-3144	1062	1	as	as	SCONJ
fuelectenerg-3144	1062	2	the	the	DET
fuelectenerg-3144	1062	3	name	name	NOUN
fuelectenerg-3144	1062	4	suggests	suggest	VERB
fuelectenerg-3144	1062	5	,	,	PUNCT
fuelectenerg-3144	1062	6	the	the	DET
fuelectenerg-3144	1062	7	controlled	control	VERB
fuelectenerg-3144	1062	8	incrementer	incrementer	NOUN
fuelectenerg-3144	1062	9	only	only	ADV
fuelectenerg-3144	1062	10	increments	increment	VERB
fuelectenerg-3144	1062	11	the	the	DET
fuelectenerg-3144	1062	12	register	register	NOUN
fuelectenerg-3144	1062	13	an	an	PRON
fuelectenerg-3144	1062	14	.	.	PUNCT
fuelectenerg-3144	1062	15	.	.	PUNCT
fuelectenerg-3144	1062	16	.	.	PUNCT
fuelectenerg-3144	1063	1	a2a1a0	a2a1a0	PRON
fuelectenerg-3144	1063	2	if	if	SCONJ
fuelectenerg-3144	1063	3	the	the	DET
fuelectenerg-3144	1063	4	control	control	NOUN
fuelectenerg-3144	1063	5	qubit	qubit	NOUN
fuelectenerg-3144	1063	6	c	c	PROPN
fuelectenerg-3144	1063	7	is	be	AUX
fuelectenerg-3144	1063	8	in	in	ADP
fuelectenerg-3144	1063	9	the	the	DET
fuelectenerg-3144	1063	10	state	state	NOUN
fuelectenerg-3144	1063	11	|1	|1	PRON
fuelectenerg-3144	1063	12	〉	〉	PROPN
fuelectenerg-3144	1063	13	.	.	PUNCT
fuelectenerg-3144	1064	1	figure	figure	NOUN
fuelectenerg-3144	1064	2	17(d	17(d	NUM
fuelectenerg-3144	1064	3	)	)	PUNCT
fuelectenerg-3144	1064	4	depicts	depict	VERB
fuelectenerg-3144	1064	5	the	the	DET
fuelectenerg-3144	1064	6	schematic	schematic	ADJ
fuelectenerg-3144	1064	7	symbol	symbol	NOUN
fuelectenerg-3144	1064	8	that	that	PRON
fuelectenerg-3144	1064	9	we	we	PRON
fuelectenerg-3144	1064	10	will	will	AUX
fuelectenerg-3144	1064	11	use	use	VERB
fuelectenerg-3144	1064	12	from	from	ADP
fuelectenerg-3144	1064	13	now	now	ADV
fuelectenerg-3144	1064	14	on	on	ADV
fuelectenerg-3144	1064	15	to	to	PART
fuelectenerg-3144	1064	16	compactly	compactly	ADV
fuelectenerg-3144	1064	17	represent	represent	VERB
fuelectenerg-3144	1064	18	a	a	DET
fuelectenerg-3144	1064	19	controlled	control	VERB
fuelectenerg-3144	1064	20	incrementer	incrementer	NOUN
fuelectenerg-3144	1064	21	.	.	PUNCT
fuelectenerg-3144	1065	1	observe	observe	VERB
fuelectenerg-3144	1065	2	that	that	SCONJ
fuelectenerg-3144	1065	3	the	the	DET
fuelectenerg-3144	1065	4	lower	low	ADJ
fuelectenerg-3144	1065	5	line	line	NOUN
fuelectenerg-3144	1065	6	in	in	ADP
fuelectenerg-3144	1065	7	this	this	DET
fuelectenerg-3144	1065	8	schematic	schematic	ADJ
fuelectenerg-3144	1065	9	represents	represent	VERB
fuelectenerg-3144	1065	10	not	not	PART
fuelectenerg-3144	1065	11	a	a	DET
fuelectenerg-3144	1065	12	single	single	ADJ
fuelectenerg-3144	1065	13	qubit	qubit	NOUN
fuelectenerg-3144	1065	14	but	but	CCONJ
fuelectenerg-3144	1065	15	an	an	DET
fuelectenerg-3144	1065	16	entire	entire	ADJ
fuelectenerg-3144	1065	17	register	register	NOUN
fuelectenerg-3144	1065	18	or	or	CCONJ
fuelectenerg-3144	1065	19	array	array	NOUN
fuelectenerg-3144	1065	20	of	of	ADP
fuelectenerg-3144	1065	21	n	n	DET
fuelectenerg-3144	1065	22	qubits	qubit	NOUN
fuelectenerg-3144	1065	23	.	.	PUNCT
fuelectenerg-3144	1066	1	using	use	VERB
fuelectenerg-3144	1066	2	controlled	control	VERB
fuelectenerg-3144	1066	3	incrementers	incrementer	NOUN
fuelectenerg-3144	1066	4	,	,	PUNCT
fuelectenerg-3144	1066	5	figure	figure	VERB
fuelectenerg-3144	1066	6	18	18	NUM
fuelectenerg-3144	1066	7	illustrates	illustrate	VERB
fuelectenerg-3144	1066	8	how	how	SCONJ
fuelectenerg-3144	1066	9	a	a	DET
fuelectenerg-3144	1066	10	quantum	quantum	NOUN
fuelectenerg-3144	1066	11	counter	counter	NOUN
fuelectenerg-3144	1066	12	is	be	AUX
fuelectenerg-3144	1066	13	formed	form	VERB
fuelectenerg-3144	1066	14	by	by	ADP
fuelectenerg-3144	1066	15	a	a	DET
fuelectenerg-3144	1066	16	sequence	sequence	NOUN
fuelectenerg-3144	1066	17	of	of	ADP
fuelectenerg-3144	1066	18	controlled	control	VERB
fuelectenerg-3144	1066	19	incrementers	incrementer	NOUN
fuelectenerg-3144	1066	20	all	all	PRON
fuelectenerg-3144	1066	21	acting	act	VERB
fuelectenerg-3144	1066	22	on	on	ADP
fuelectenerg-3144	1066	23	the	the	DET
fuelectenerg-3144	1066	24	same	same	ADJ
fuelectenerg-3144	1066	25	target	target	NOUN
fuelectenerg-3144	1066	26	register	register	NOUN
fuelectenerg-3144	1066	27	.	.	PUNCT
fuelectenerg-3144	1067	1	this	this	DET
fuelectenerg-3144	1067	2	register	register	PROPN
fuelectenerg-3144	1067	3	stores	store	NOUN
fuelectenerg-3144	1067	4	a	a	DET
fuelectenerg-3144	1067	5	running	running	NOUN
fuelectenerg-3144	1067	6	count	count	NOUN
fuelectenerg-3144	1067	7	which	which	PRON
fuelectenerg-3144	1067	8	will	will	AUX
fuelectenerg-3144	1067	9	be	be	AUX
fuelectenerg-3144	1067	10	incremented	incremente	VERB
fuelectenerg-3144	1067	11	once	once	ADV
fuelectenerg-3144	1067	12	for	for	ADP
fuelectenerg-3144	1067	13	each	each	DET
fuelectenerg-3144	1067	14	control	control	NOUN
fuelectenerg-3144	1067	15	qubit	qubit	NOUN
fuelectenerg-3144	1067	16	in	in	ADP
fuelectenerg-3144	1067	17	the	the	DET
fuelectenerg-3144	1067	18	state	state	NOUN
fuelectenerg-3144	1067	19	|1	|1	PRON
fuelectenerg-3144	1067	20	〉	〉	NOUN
fuelectenerg-3144	1067	21	.	.	PUNCT
fuelectenerg-3144	1068	1	since	since	SCONJ
fuelectenerg-3144	1068	2	the	the	DET
fuelectenerg-3144	1068	3	register	register	NOUN
fuelectenerg-3144	1068	4	is	be	AUX
fuelectenerg-3144	1068	5	initialized	initialize	VERB
fuelectenerg-3144	1068	6	to	to	ADP
fuelectenerg-3144	1068	7	|000	|000	PROPN
fuelectenerg-3144	1068	8	〉	〉	PROPN
fuelectenerg-3144	1068	9	,	,	PUNCT
fuelectenerg-3144	1068	10	the	the	DET
fuelectenerg-3144	1068	11	final	final	ADJ
fuelectenerg-3144	1068	12	value	value	NOUN
fuelectenerg-3144	1068	13	on	on	ADP
fuelectenerg-3144	1068	14	the	the	DET
fuelectenerg-3144	1068	15	register	register	NOUN
fuelectenerg-3144	1068	16	is	be	AUX
fuelectenerg-3144	1068	17	simply	simply	ADV
fuelectenerg-3144	1068	18	the	the	DET
fuelectenerg-3144	1068	19	total	total	ADJ
fuelectenerg-3144	1068	20	number	number	NOUN
fuelectenerg-3144	1068	21	of	of	ADP
fuelectenerg-3144	1068	22	control	control	NOUN
fuelectenerg-3144	1068	23	qubits	qubit	NOUN
fuelectenerg-3144	1068	24	in	in	ADP
fuelectenerg-3144	1068	25	the	the	DET
fuelectenerg-3144	1068	26	state	state	NOUN
fuelectenerg-3144	1068	27	|1	|1	PRON
fuelectenerg-3144	1068	28	〉	〉	NOUN
fuelectenerg-3144	1068	29	,	,	PUNCT
fuelectenerg-3144	1068	30	represented	represent	VERB
fuelectenerg-3144	1068	31	as	as	ADP
fuelectenerg-3144	1068	32	a	a	DET
fuelectenerg-3144	1068	33	base	base	NOUN
fuelectenerg-3144	1068	34	-	-	PUNCT
fuelectenerg-3144	1068	35	two	two	NUM
fuelectenerg-3144	1068	36	integer	integer	NOUN
fuelectenerg-3144	1068	37	as	as	ADP
fuelectenerg-3144	1068	38	before	before	ADV
fuelectenerg-3144	1068	39	.	.	PUNCT
fuelectenerg-3144	1069	1	we	we	PRON
fuelectenerg-3144	1069	2	observe	observe	VERB
fuelectenerg-3144	1069	3	that	that	SCONJ
fuelectenerg-3144	1069	4	the	the	DET
fuelectenerg-3144	1069	5	quantum	quantum	PROPN
fuelectenerg-3144	1069	6	counter	counter	NOUN
fuelectenerg-3144	1069	7	depicted	depict	VERB
fuelectenerg-3144	1069	8	here	here	ADV
fuelectenerg-3144	1069	9	is	be	AUX
fuelectenerg-3144	1069	10	limited	limit	VERB
fuelectenerg-3144	1069	11	to	to	ADP
fuelectenerg-3144	1069	12	a	a	DET
fuelectenerg-3144	1069	13	maximum	maximum	NOUN
fuelectenerg-3144	1069	14	of	of	ADP
fuelectenerg-3144	1069	15	seven	seven	NUM
fuelectenerg-3144	1069	16	control	control	NOUN
fuelectenerg-3144	1069	17	qubits	qubit	NOUN
fuelectenerg-3144	1069	18	because	because	SCONJ
fuelectenerg-3144	1069	19	the	the	DET
fuelectenerg-3144	1069	20	maximum	maximum	ADJ
fuelectenerg-3144	1069	21	value	value	NOUN
fuelectenerg-3144	1069	22	of	of	ADP
fuelectenerg-3144	1069	23	the	the	DET
fuelectenerg-3144	1069	24	three	three	NUM
fuelectenerg-3144	1069	25	-	-	PUNCT
fuelectenerg-3144	1069	26	qubit	qubit	NOUN
fuelectenerg-3144	1069	27	target	target	NOUN
fuelectenerg-3144	1069	28	register	register	NOUN
fuelectenerg-3144	1069	29	is	be	AUX
fuelectenerg-3144	1069	30	|111	|111	ADJ
fuelectenerg-3144	1069	31	〉	〉	NOUN
fuelectenerg-3144	1069	32	.	.	PUNCT
fuelectenerg-3144	1070	1	attempting	attempt	VERB
fuelectenerg-3144	1070	2	to	to	PART
fuelectenerg-3144	1070	3	count	count	VERB
fuelectenerg-3144	1070	4	further	far	ADV
fuelectenerg-3144	1070	5	than	than	ADP
fuelectenerg-3144	1070	6	this	this	PRON
fuelectenerg-3144	1070	7	would	would	AUX
fuelectenerg-3144	1070	8	simply	simply	ADV
fuelectenerg-3144	1070	9	result	result	VERB
fuelectenerg-3144	1070	10	in	in	ADP
fuelectenerg-3144	1070	11	the	the	DET
fuelectenerg-3144	1070	12	counter	counter	NOUN
fuelectenerg-3144	1070	13	wrapping	wrap	VERB
fuelectenerg-3144	1070	14	around	around	ADV
fuelectenerg-3144	1070	15	back	back	ADV
fuelectenerg-3144	1070	16	to	to	ADP
fuelectenerg-3144	1070	17	|000	|000	PROPN
fuelectenerg-3144	1070	18	〉	〉	PROPN
fuelectenerg-3144	1070	19	,	,	PUNCT
fuelectenerg-3144	1070	20	as	as	SCONJ
fuelectenerg-3144	1070	21	previously	previously	ADV
fuelectenerg-3144	1070	22	mentioned	mention	VERB
fuelectenerg-3144	1070	23	.	.	PUNCT
fuelectenerg-3144	1071	1	this	this	DET
fuelectenerg-3144	1071	2	limit	limit	NOUN
fuelectenerg-3144	1071	3	can	can	AUX
fuelectenerg-3144	1071	4	be	be	AUX
fuelectenerg-3144	1071	5	raised	raise	VERB
fuelectenerg-3144	1071	6	by	by	ADP
fuelectenerg-3144	1071	7	increasing	increase	VERB
fuelectenerg-3144	1071	8	the	the	DET
fuelectenerg-3144	1071	9	size	size	NOUN
fuelectenerg-3144	1071	10	of	of	ADP
fuelectenerg-3144	1071	11	the	the	DET
fuelectenerg-3144	1071	12	target	target	NOUN
fuelectenerg-3144	1071	13	register	register	VERB
fuelectenerg-3144	1071	14	;	;	PUNCT
fuelectenerg-3144	1071	15	a	a	DET
fuelectenerg-3144	1071	16	target	target	NOUN
fuelectenerg-3144	1071	17	register	register	NOUN
fuelectenerg-3144	1071	18	consisting	consist	VERB
fuelectenerg-3144	1071	19	of	of	ADP
fuelectenerg-3144	1071	20	n	n	DET
fuelectenerg-3144	1071	21	qubits	qubit	NOUN
fuelectenerg-3144	1071	22	will	will	AUX
fuelectenerg-3144	1071	23	allow	allow	VERB
fuelectenerg-3144	1071	24	the	the	DET
fuelectenerg-3144	1071	25	quantum	quantum	PROPN
fuelectenerg-3144	1071	26	counter	counter	NOUN
fuelectenerg-3144	1071	27	to	to	PART
fuelectenerg-3144	1071	28	count	count	VERB
fuelectenerg-3144	1071	29	up	up	ADP
fuelectenerg-3144	1071	30	a	a	DET
fuelectenerg-3144	1071	31	maximum	maximum	ADJ
fuelectenerg-3144	1071	32	value	value	NOUN
fuelectenerg-3144	1071	33	of	of	ADP
fuelectenerg-3144	1071	34	2n	2n	NUM
fuelectenerg-3144	1071	35	−	−	ADP
fuelectenerg-3144	1071	36	1	1	NUM
fuelectenerg-3144	1071	37	.	.	PUNCT
fuelectenerg-3144	1071	38	with	with	ADP
fuelectenerg-3144	1071	39	quantum	quantum	NOUN
fuelectenerg-3144	1071	40	counters	counter	NOUN
fuelectenerg-3144	1071	41	,	,	PUNCT
fuelectenerg-3144	1071	42	it	it	PRON
fuelectenerg-3144	1071	43	is	be	AUX
fuelectenerg-3144	1071	44	easy	easy	ADJ
fuelectenerg-3144	1071	45	to	to	PART
fuelectenerg-3144	1071	46	construct	construct	VERB
fuelectenerg-3144	1071	47	a	a	DET
fuelectenerg-3144	1071	48	quantum	quantum	ADJ
fuelectenerg-3144	1071	49	circuit	circuit	NOUN
fuelectenerg-3144	1071	50	that	that	PRON
fuelectenerg-3144	1071	51	calculates	calculate	VERB
fuelectenerg-3144	1071	52	the	the	DET
fuelectenerg-3144	1071	53	total	total	ADJ
fuelectenerg-3144	1071	54	cost	cost	NOUN
fuelectenerg-3144	1071	55	of	of	ADP
fuelectenerg-3144	1071	56	an	an	DET
fuelectenerg-3144	1071	57	encoding	encoding	NOUN
fuelectenerg-3144	1071	58	.	.	PUNCT
fuelectenerg-3144	1072	1	we	we	PRON
fuelectenerg-3144	1072	2	recall	recall	VERB
fuelectenerg-3144	1072	3	that	that	PRON
fuelectenerg-3144	1072	4	cost	cost	NOUN
fuelectenerg-3144	1072	5	is	be	AUX
fuelectenerg-3144	1072	6	equal	equal	ADJ
fuelectenerg-3144	1072	7	to	to	ADP
fuelectenerg-3144	1072	8	the	the	DET
fuelectenerg-3144	1072	9	total	total	ADJ
fuelectenerg-3144	1072	10	number	number	NOUN
fuelectenerg-3144	1072	11	of	of	ADP
fuelectenerg-3144	1072	12	dependencies	dependency	NOUN
fuelectenerg-3144	1072	13	of	of	ADP
fuelectenerg-3144	1072	14	each	each	PRON
fuelectenerg-3144	1072	15	q+	q+	PUNCT
fuelectenerg-3144	1072	16	i	i	PRON
fuelectenerg-3144	1072	17	on	on	ADP
fuelectenerg-3144	1072	18	state	state	NOUN
fuelectenerg-3144	1072	19	and	and	CCONJ
fuelectenerg-3144	1072	20	input	input	NOUN
fuelectenerg-3144	1072	21	variables	variable	NOUN
fuelectenerg-3144	1072	22	32	32	NUM
fuelectenerg-3144	1072	23	c1	c1	PROPN
fuelectenerg-3144	1072	24	c2	c2	PROPN
fuelectenerg-3144	1072	25	c7	c7	PROPN
fuelectenerg-3144	1072	26	|000	|000	PROPN
fuelectenerg-3144	1072	27	〉	〉	PROPN
fuelectenerg-3144	1072	28	∑	∑	PUNCT
fuelectenerg-3144	1072	29	ci3	ci3	PROPN
fuelectenerg-3144	1073	1	+1	+1	ADJ
fuelectenerg-3144	1073	2	+1	+1	ADJ
fuelectenerg-3144	1073	3	+1	+1	ADJ
fuelectenerg-3144	1073	4	figure	figure	NOUN
fuelectenerg-3144	1073	5	18	18	NUM
fuelectenerg-3144	1073	6	:	:	PUNCT
fuelectenerg-3144	1073	7	an	an	DET
fuelectenerg-3144	1073	8	example	example	NOUN
fuelectenerg-3144	1073	9	of	of	ADP
fuelectenerg-3144	1073	10	a	a	DET
fuelectenerg-3144	1073	11	quantum	quantum	PROPN
fuelectenerg-3144	1073	12	counter	counter	NOUN
fuelectenerg-3144	1073	13	.	.	PUNCT
fuelectenerg-3144	1074	1	|1	|1	NUM
fuelectenerg-3144	1074	2	〉	〉	NOUN
fuelectenerg-3144	1074	3	|00	|00	NOUN
fuelectenerg-3144	1074	4	.	.	PUNCT
fuelectenerg-3144	1074	5	.	.	PUNCT
fuelectenerg-3144	1075	1	.	.	PUNCT
fuelectenerg-3144	1076	1	0	0	NUM
fuelectenerg-3144	1076	2	〉	〉	NUM
fuelectenerg-3144	1076	3	input	input	NOUN
fuelectenerg-3144	1076	4	qubits	qubit	NOUN
fuelectenerg-3144	1076	5	ancilla	ancilla	PROPN
fuelectenerg-3144	1076	6	qubits	qubit	NOUN
fuelectenerg-3144	1076	7	d.c	d.c	PROPN
fuelectenerg-3144	1076	8	.	.	PROPN
fuelectenerg-3144	1077	1	q+	q+	ADP
fuelectenerg-3144	1077	2	1	1	NUM
fuelectenerg-3144	1077	3	,	,	PUNCT
fuelectenerg-3144	1077	4	q1	q1	PROPN
fuelectenerg-3144	1077	5	d.c	d.c	PROPN
fuelectenerg-3144	1077	6	.	.	PUNCT
fuelectenerg-3144	1078	1	q+	q+	ADP
fuelectenerg-3144	1078	2	1	1	NUM
fuelectenerg-3144	1078	3	,	,	PUNCT
fuelectenerg-3144	1078	4	q1	q1	VERB
fuelectenerg-3144	1078	5	+1	+1	PROPN
fuelectenerg-3144	1078	6	d.c	d.c	PROPN
fuelectenerg-3144	1078	7	.	.	PUNCT
fuelectenerg-3144	1079	1	q+	q+	ADP
fuelectenerg-3144	1079	2	1	1	NUM
fuelectenerg-3144	1079	3	,	,	PUNCT
fuelectenerg-3144	1079	4	q2	q2	PROPN
fuelectenerg-3144	1079	5	d.c	d.c	PROPN
fuelectenerg-3144	1079	6	.	.	PUNCT
fuelectenerg-3144	1080	1	q+	q+	ADP
fuelectenerg-3144	1080	2	1	1	NUM
fuelectenerg-3144	1080	3	,	,	PUNCT
fuelectenerg-3144	1080	4	q2	q2	NOUN
fuelectenerg-3144	1080	5	+1	+1	PROPN
fuelectenerg-3144	1080	6	d.c	d.c	PROPN
fuelectenerg-3144	1080	7	.	.	PROPN
fuelectenerg-3144	1081	1	q+	q+	NUM
fuelectenerg-3144	1081	2	n	n	PROPN
fuelectenerg-3144	1081	3	,	,	PUNCT
fuelectenerg-3144	1081	4	xm	xm	PROPN
fuelectenerg-3144	1081	5	d.c	d.c	PROPN
fuelectenerg-3144	1081	6	.	.	PROPN
fuelectenerg-3144	1082	1	q+	q+	NUM
fuelectenerg-3144	1082	2	n	n	PROPN
fuelectenerg-3144	1082	3	,	,	PUNCT
fuelectenerg-3144	1082	4	xm	xm	PROPN
fuelectenerg-3144	1082	5	+1	+1	PROPN
fuelectenerg-3144	1082	6	figure	figure	NOUN
fuelectenerg-3144	1082	7	19	19	NUM
fuelectenerg-3144	1082	8	:	:	PUNCT
fuelectenerg-3144	1082	9	quantum	quantum	ADJ
fuelectenerg-3144	1082	10	circuit	circuit	NOUN
fuelectenerg-3144	1082	11	to	to	PART
fuelectenerg-3144	1082	12	calculate	calculate	VERB
fuelectenerg-3144	1082	13	total	total	ADJ
fuelectenerg-3144	1082	14	cost	cost	NOUN
fuelectenerg-3144	1082	15	using	use	VERB
fuelectenerg-3144	1082	16	a	a	DET
fuelectenerg-3144	1082	17	quantum	quantum	ADJ
fuelectenerg-3144	1082	18	counter	counter	NOUN
fuelectenerg-3144	1082	19	.	.	PUNCT
fuelectenerg-3144	1083	1	qj	qj	PROPN
fuelectenerg-3144	1083	2	and	and	CCONJ
fuelectenerg-3144	1083	3	xk	xk	PROPN
fuelectenerg-3144	1083	4	,	,	PUNCT
fuelectenerg-3144	1083	5	summed	sum	VERB
fuelectenerg-3144	1083	6	over	over	ADP
fuelectenerg-3144	1083	7	all	all	DET
fuelectenerg-3144	1083	8	i.	i.	NOUN
fuelectenerg-3144	1083	9	therefore	therefore	ADV
fuelectenerg-3144	1083	10	,	,	PUNCT
fuelectenerg-3144	1083	11	we	we	PRON
fuelectenerg-3144	1083	12	create	create	VERB
fuelectenerg-3144	1083	13	a	a	DET
fuelectenerg-3144	1083	14	quantum	quantum	ADJ
fuelectenerg-3144	1083	15	circuit	circuit	NOUN
fuelectenerg-3144	1083	16	consisting	consist	VERB
fuelectenerg-3144	1083	17	of	of	ADP
fuelectenerg-3144	1083	18	many	many	ADJ
fuelectenerg-3144	1083	19	dependency	dependency	NOUN
fuelectenerg-3144	1083	20	checkers	checker	NOUN
fuelectenerg-3144	1083	21	,	,	PUNCT
fuelectenerg-3144	1083	22	one	one	NUM
fuelectenerg-3144	1083	23	to	to	PART
fuelectenerg-3144	1083	24	evaluate	evaluate	VERB
fuelectenerg-3144	1083	25	each	each	DET
fuelectenerg-3144	1083	26	possible	possible	ADJ
fuelectenerg-3144	1083	27	dependency	dependency	NOUN
fuelectenerg-3144	1083	28	,	,	PUNCT
fuelectenerg-3144	1083	29	where	where	SCONJ
fuelectenerg-3144	1083	30	the	the	DET
fuelectenerg-3144	1083	31	outputs	output	NOUN
fuelectenerg-3144	1083	32	of	of	ADP
fuelectenerg-3144	1083	33	the	the	DET
fuelectenerg-3144	1083	34	dependency	dependency	NOUN
fuelectenerg-3144	1083	35	checkers	checker	NOUN
fuelectenerg-3144	1083	36	are	be	AUX
fuelectenerg-3144	1083	37	fed	feed	VERB
fuelectenerg-3144	1083	38	to	to	ADP
fuelectenerg-3144	1083	39	a	a	DET
fuelectenerg-3144	1083	40	quantum	quantum	ADJ
fuelectenerg-3144	1083	41	counter	counter	NOUN
fuelectenerg-3144	1083	42	that	that	PRON
fuelectenerg-3144	1083	43	counts	count	VERB
fuelectenerg-3144	1083	44	the	the	DET
fuelectenerg-3144	1083	45	total	total	ADJ
fuelectenerg-3144	1083	46	number	number	NOUN
fuelectenerg-3144	1083	47	of	of	ADP
fuelectenerg-3144	1083	48	dependencies	dependency	NOUN
fuelectenerg-3144	1083	49	.	.	PUNCT
fuelectenerg-3144	1084	1	the	the	DET
fuelectenerg-3144	1084	2	final	final	ADJ
fuelectenerg-3144	1084	3	value	value	NOUN
fuelectenerg-3144	1084	4	of	of	ADP
fuelectenerg-3144	1084	5	the	the	DET
fuelectenerg-3144	1084	6	quantum	quantum	PROPN
fuelectenerg-3144	1084	7	counter	counter	NOUN
fuelectenerg-3144	1084	8	then	then	ADV
fuelectenerg-3144	1084	9	gives	give	VERB
fuelectenerg-3144	1084	10	the	the	DET
fuelectenerg-3144	1084	11	cost	cost	NOUN
fuelectenerg-3144	1084	12	of	of	ADP
fuelectenerg-3144	1084	13	the	the	DET
fuelectenerg-3144	1084	14	encoding	encoding	NOUN
fuelectenerg-3144	1084	15	represented	represent	VERB
fuelectenerg-3144	1084	16	by	by	ADP
fuelectenerg-3144	1084	17	the	the	DET
fuelectenerg-3144	1084	18	input	input	NOUN
fuelectenerg-3144	1084	19	qubits	qubit	NOUN
fuelectenerg-3144	1084	20	.	.	PUNCT
fuelectenerg-3144	1085	1	figure	figure	VERB
fuelectenerg-3144	1085	2	19	19	NUM
fuelectenerg-3144	1085	3	depicts	depict	VERB
fuelectenerg-3144	1085	4	the	the	DET
fuelectenerg-3144	1085	5	structure	structure	NOUN
fuelectenerg-3144	1085	6	of	of	ADP
fuelectenerg-3144	1085	7	the	the	DET
fuelectenerg-3144	1085	8	resulting	result	VERB
fuelectenerg-3144	1085	9	circuit	circuit	NOUN
fuelectenerg-3144	1085	10	.	.	PUNCT
fuelectenerg-3144	1086	1	in	in	ADP
fuelectenerg-3144	1086	2	figure	figure	NOUN
fuelectenerg-3144	1086	3	19	19	NUM
fuelectenerg-3144	1086	4	,	,	PUNCT
fuelectenerg-3144	1086	5	each	each	DET
fuelectenerg-3144	1086	6	block	block	NOUN
fuelectenerg-3144	1086	7	labeled	label	VERB
fuelectenerg-3144	1086	8	“	"	PUNCT
fuelectenerg-3144	1086	9	d.c	d.c	PROPN
fuelectenerg-3144	1086	10	.	.	PROPN
fuelectenerg-3144	1087	1	q+	q+	NUM
fuelectenerg-3144	1087	2	i	i	PRON
fuelectenerg-3144	1087	3	,	,	PUNCT
fuelectenerg-3144	1087	4	qj	qj	PROPN
fuelectenerg-3144	1087	5	”	"	PUNCT
fuelectenerg-3144	1087	6	or	or	CCONJ
fuelectenerg-3144	1087	7	“	"	PUNCT
fuelectenerg-3144	1087	8	d.c	d.c	PROPN
fuelectenerg-3144	1087	9	.	.	PROPN
fuelectenerg-3144	1088	1	q+	q+	NUM
fuelectenerg-3144	1088	2	i	i	PRON
fuelectenerg-3144	1088	3	,	,	PUNCT
fuelectenerg-3144	1088	4	xj	xj	PROPN
fuelectenerg-3144	1088	5	”	"	PUNCT
fuelectenerg-3144	1088	6	represents	represent	VERB
fuelectenerg-3144	1088	7	a	a	DET
fuelectenerg-3144	1088	8	dependency	dependency	NOUN
fuelectenerg-3144	1088	9	checker	checker	NOUN
fuelectenerg-3144	1088	10	that	that	PRON
fuelectenerg-3144	1088	11	checks	check	VERB
fuelectenerg-3144	1088	12	whether	whether	SCONJ
fuelectenerg-3144	1088	13	q+	q+	ADV
fuelectenerg-3144	1088	14	i	i	PRON
fuelectenerg-3144	1088	15	depends	depend	VERB
fuelectenerg-3144	1088	16	on	on	ADP
fuelectenerg-3144	1088	17	qj	qj	PROPN
fuelectenerg-3144	1088	18	or	or	CCONJ
fuelectenerg-3144	1088	19	xj	xj	PROPN
fuelectenerg-3144	1088	20	,	,	PUNCT
fuelectenerg-3144	1088	21	respectively	respectively	ADV
fuelectenerg-3144	1088	22	.	.	PUNCT
fuelectenerg-3144	1089	1	due	due	ADP
fuelectenerg-3144	1089	2	to	to	ADP
fuelectenerg-3144	1089	3	space	space	NOUN
fuelectenerg-3144	1089	4	constraints	constraint	NOUN
fuelectenerg-3144	1089	5	,	,	PUNCT
fuelectenerg-3144	1089	6	only	only	ADV
fuelectenerg-3144	1089	7	a	a	DET
fuelectenerg-3144	1089	8	few	few	ADJ
fuelectenerg-3144	1089	9	checkers	checker	NOUN
fuelectenerg-3144	1089	10	are	be	AUX
fuelectenerg-3144	1089	11	shown	show	VERB
fuelectenerg-3144	1089	12	in	in	ADP
fuelectenerg-3144	1089	13	figure	figure	NOUN
fuelectenerg-3144	1089	14	19	19	NUM
fuelectenerg-3144	1089	15	,	,	PUNCT
fuelectenerg-3144	1089	16	but	but	CCONJ
fuelectenerg-3144	1089	17	the	the	DET
fuelectenerg-3144	1089	18	full	full	ADJ
fuelectenerg-3144	1089	19	circuit	circuit	NOUN
fuelectenerg-3144	1089	20	requires	require	VERB
fuelectenerg-3144	1089	21	dependency	dependency	NOUN
fuelectenerg-3144	1089	22	checkers	checker	NOUN
fuelectenerg-3144	1089	23	for	for	ADP
fuelectenerg-3144	1089	24	every	every	DET
fuelectenerg-3144	1089	25	possible	possible	ADJ
fuelectenerg-3144	1089	26	combination	combination	NOUN
fuelectenerg-3144	1089	27	of	of	ADP
fuelectenerg-3144	1089	28	a	a	DET
fuelectenerg-3144	1089	29	q+	q+	NOUN
fuelectenerg-3144	1089	30	i	i	PRON
fuelectenerg-3144	1089	31	and	and	CCONJ
fuelectenerg-3144	1089	32	a	a	DET
fuelectenerg-3144	1089	33	qj	qj	PROPN
fuelectenerg-3144	1089	34	or	or	CCONJ
fuelectenerg-3144	1089	35	xj	xj	PROPN
fuelectenerg-3144	1089	36	.	.	PUNCT
fuelectenerg-3144	1090	1	in	in	ADP
fuelectenerg-3144	1090	2	other	other	ADJ
fuelectenerg-3144	1090	3	words	word	NOUN
fuelectenerg-3144	1090	4	,	,	PUNCT
fuelectenerg-3144	1090	5	the	the	DET
fuelectenerg-3144	1090	6	circuit	circuit	NOUN
fuelectenerg-3144	1090	7	contains	contain	VERB
fuelectenerg-3144	1090	8	dependency	dependency	NOUN
fuelectenerg-3144	1090	9	checkers	checker	NOUN
fuelectenerg-3144	1090	10	for	for	ADP
fuelectenerg-3144	1090	11	q+	q+	ADP
fuelectenerg-3144	1090	12	1	1	NUM
fuelectenerg-3144	1090	13	depending	depend	VERB
fuelectenerg-3144	1090	14	on	on	ADP
fuelectenerg-3144	1090	15	each	each	PRON
fuelectenerg-3144	1090	16	of	of	ADP
fuelectenerg-3144	1090	17	q1	q1	PROPN
fuelectenerg-3144	1090	18	through	through	ADP
fuelectenerg-3144	1090	19	qn	qn	PROPN
fuelectenerg-3144	1090	20	and	and	CCONJ
fuelectenerg-3144	1090	21	x1	x1	PROPN
fuelectenerg-3144	1090	22	through	through	ADP
fuelectenerg-3144	1090	23	xm	xm	PROPN
fuelectenerg-3144	1090	24	,	,	PUNCT
fuelectenerg-3144	1090	25	q+	q+	ADP
fuelectenerg-3144	1090	26	2	2	NUM
fuelectenerg-3144	1090	27	depending	depend	VERB
fuelectenerg-3144	1090	28	on	on	ADP
fuelectenerg-3144	1090	29	each	each	PRON
fuelectenerg-3144	1090	30	of	of	ADP
fuelectenerg-3144	1090	31	q1	q1	PROPN
fuelectenerg-3144	1090	32	through	through	ADP
fuelectenerg-3144	1090	33	qn	qn	PROPN
fuelectenerg-3144	1090	34	and	and	CCONJ
fuelectenerg-3144	1090	35	x1	x1	NUM
fuelectenerg-3144	1090	36	through	through	ADP
fuelectenerg-3144	1090	37	xm	xm	PROPN
fuelectenerg-3144	1090	38	,	,	PUNCT
fuelectenerg-3144	1090	39	and	and	CCONJ
fuelectenerg-3144	1090	40	so	so	ADV
fuelectenerg-3144	1090	41	on	on	ADP
fuelectenerg-3144	1090	42	up	up	ADP
fuelectenerg-3144	1090	43	to	to	PART
fuelectenerg-3144	1090	44	q+	q+	ADJ
fuelectenerg-3144	1090	45	n	n	X
fuelectenerg-3144	1090	46	depending	depend	VERB
fuelectenerg-3144	1090	47	on	on	ADP
fuelectenerg-3144	1090	48	each	each	PRON
fuelectenerg-3144	1090	49	of	of	ADP
fuelectenerg-3144	1090	50	q1	q1	PROPN
fuelectenerg-3144	1090	51	through	through	ADP
fuelectenerg-3144	1090	52	qn	qn	PROPN
fuelectenerg-3144	1090	53	and	and	CCONJ
fuelectenerg-3144	1090	54	x1	x1	PROPN
fuelectenerg-3144	1090	55	through	through	ADP
fuelectenerg-3144	1090	56	xm	xm	PROPN
fuelectenerg-3144	1090	57	,	,	PUNCT
fuelectenerg-3144	1090	58	where	where	SCONJ
fuelectenerg-3144	1090	59	n	n	X
fuelectenerg-3144	1090	60	is	be	AUX
fuelectenerg-3144	1090	61	the	the	DET
fuelectenerg-3144	1090	62	number	number	NOUN
fuelectenerg-3144	1090	63	of	of	ADP
fuelectenerg-3144	1090	64	state	state	NOUN
fuelectenerg-3144	1090	65	variables	variable	NOUN
fuelectenerg-3144	1090	66	and	and	CCONJ
fuelectenerg-3144	1090	67	m	m	NOUN
fuelectenerg-3144	1090	68	is	be	AUX
fuelectenerg-3144	1090	69	the	the	DET
fuelectenerg-3144	1090	70	number	number	NOUN
fuelectenerg-3144	1090	71	of	of	ADP
fuelectenerg-3144	1090	72	input	input	NOUN
fuelectenerg-3144	1090	73	variables	variable	NOUN
fuelectenerg-3144	1090	74	.	.	PUNCT
fuelectenerg-3144	1091	1	thus	thus	ADV
fuelectenerg-3144	1091	2	,	,	PUNCT
fuelectenerg-3144	1091	3	the	the	DET
fuelectenerg-3144	1091	4	total	total	ADJ
fuelectenerg-3144	1091	5	number	number	NOUN
fuelectenerg-3144	1091	6	of	of	ADP
fuelectenerg-3144	1091	7	dependency	dependency	NOUN
fuelectenerg-3144	1091	8	checkers	checker	NOUN
fuelectenerg-3144	1091	9	is	be	AUX
fuelectenerg-3144	1091	10	n(n+m	n(n+m	NOUN
fuelectenerg-3144	1091	11	)	)	PUNCT
fuelectenerg-3144	1091	12	.	.	PUNCT
fuelectenerg-3144	1092	1	this	this	DET
fuelectenerg-3144	1092	2	number	number	NOUN
fuelectenerg-3144	1092	3	is	be	AUX
fuelectenerg-3144	1092	4	actually	actually	ADV
fuelectenerg-3144	1092	5	quite	quite	ADV
fuelectenerg-3144	1092	6	small	small	ADJ
fuelectenerg-3144	1092	7	relative	relative	ADJ
fuelectenerg-3144	1092	8	to	to	ADP
fuelectenerg-3144	1092	9	the	the	DET
fuelectenerg-3144	1092	10	size	size	NOUN
fuelectenerg-3144	1092	11	of	of	ADP
fuelectenerg-3144	1092	12	the	the	DET
fuelectenerg-3144	1092	13	state	state	NOUN
fuelectenerg-3144	1092	14	machine	machine	NOUN
fuelectenerg-3144	1092	15	being	be	AUX
fuelectenerg-3144	1092	16	encoded	encode	VERB
fuelectenerg-3144	1092	17	,	,	PUNCT
fuelectenerg-3144	1092	18	since	since	SCONJ
fuelectenerg-3144	1092	19	the	the	DET
fuelectenerg-3144	1092	20	number	number	NOUN
fuelectenerg-3144	1092	21	of	of	ADP
fuelectenerg-3144	1092	22	state	state	NOUN
fuelectenerg-3144	1092	23	and	and	CCONJ
fuelectenerg-3144	1092	24	input	input	NOUN
fuelectenerg-3144	1092	25	variables	variable	NOUN
fuelectenerg-3144	1092	26	grow	grow	VERB
fuelectenerg-3144	1092	27	only	only	ADV
fuelectenerg-3144	1092	28	logarithmically	logarithmically	ADV
fuelectenerg-3144	1092	29	with	with	ADP
fuelectenerg-3144	1092	30	the	the	DET
fuelectenerg-3144	1092	31	number	number	NOUN
fuelectenerg-3144	1092	32	of	of	ADP
fuelectenerg-3144	1092	33	states	state	NOUN
fuelectenerg-3144	1092	34	and	and	CCONJ
fuelectenerg-3144	1092	35	input	input	NOUN
fuelectenerg-3144	1092	36	values	value	NOUN
fuelectenerg-3144	1092	37	,	,	PUNCT
fuelectenerg-3144	1092	38	respectively	respectively	ADV
fuelectenerg-3144	1092	39	,	,	PUNCT
fuelectenerg-3144	1092	40	in	in	ADP
fuelectenerg-3144	1092	41	the	the	DET
fuelectenerg-3144	1092	42	fsm	fsm	PROPN
fuelectenerg-3144	1092	43	.	.	PUNCT
fuelectenerg-3144	1093	1	we	we	PRON
fuelectenerg-3144	1093	2	additionally	additionally	ADV
fuelectenerg-3144	1093	3	observe	observe	VERB
fuelectenerg-3144	1093	4	that	that	SCONJ
fuelectenerg-3144	1093	5	the	the	DET
fuelectenerg-3144	1093	6	quantum	quantum	PROPN
fuelectenerg-3144	1093	7	counter	counter	NOUN
fuelectenerg-3144	1093	8	used	use	VERB
fuelectenerg-3144	1093	9	in	in	ADP
fuelectenerg-3144	1093	10	figure	figure	NOUN
fuelectenerg-3144	1093	11	19	19	NUM
fuelectenerg-3144	1093	12	is	be	AUX
fuelectenerg-3144	1093	13	constructed	construct	VERB
fuelectenerg-3144	1093	14	slightly	slightly	ADV
fuelectenerg-3144	1093	15	differently	differently	ADV
fuelectenerg-3144	1093	16	from	from	ADP
fuelectenerg-3144	1093	17	the	the	DET
fuelectenerg-3144	1093	18	example	example	NOUN
fuelectenerg-3144	1093	19	shown	show	VERB
fuelectenerg-3144	1093	20	in	in	ADP
fuelectenerg-3144	1093	21	figure	figure	NOUN
fuelectenerg-3144	1093	22	18	18	NUM
fuelectenerg-3144	1093	23	.	.	PUNCT
fuelectenerg-3144	1094	1	33	33	NUM
fuelectenerg-3144	1094	2	200	200	NUM
fuelectenerg-3144	1094	3	e.	e.	PROPN
fuelectenerg-3144	1094	4	tsai	tsai	PROPN
fuelectenerg-3144	1094	5	,	,	PUNCT
fuelectenerg-3144	1094	6	m.	m.	PROPN
fuelectenerg-3144	1094	7	perkowski	perkowski	PROPN
fuelectenerg-3144	1094	8	a	a	DET
fuelectenerg-3144	1094	9	quantum	quantum	ADJ
fuelectenerg-3144	1094	10	algorithm	algorithm	NOUN
fuelectenerg-3144	1094	11	for	for	ADP
fuelectenerg-3144	1094	12	automata	automata	NOUN
fuelectenerg-3144	1094	13	encoding	encode	VERB
fuelectenerg-3144	1094	14	201	201	NUM
fuelectenerg-3144	1094	15	a2	a2	PROPN
fuelectenerg-3144	1094	16	a1	a1	NOUN
fuelectenerg-3144	1094	17	a0	a0	NOUN
fuelectenerg-3144	1094	18	(	(	PUNCT
fuelectenerg-3144	1094	19	a2a1a0)2	a2a1a0)2	PROPN
fuelectenerg-3144	1094	20	+	+	SYM
fuelectenerg-3144	1094	21	1	1	NUM
fuelectenerg-3144	1094	22	mod	mod	NOUN
fuelectenerg-3144	1094	23	23	23	NUM
fuelectenerg-3144	1094	24	(	(	PUNCT
fuelectenerg-3144	1094	25	a	a	PRON
fuelectenerg-3144	1094	26	)	)	PUNCT
fuelectenerg-3144	1094	27	a2	a2	PROPN
fuelectenerg-3144	1094	28	a1	a1	NOUN
fuelectenerg-3144	1094	29	a0	a0	PROPN
fuelectenerg-3144	1094	30	an	an	DET
fuelectenerg-3144	1094	31	(	(	PUNCT
fuelectenerg-3144	1094	32	b	b	NOUN
fuelectenerg-3144	1094	33	)	)	PUNCT
fuelectenerg-3144	1094	34	a2	a2	PROPN
fuelectenerg-3144	1094	35	a1	a1	NOUN
fuelectenerg-3144	1094	36	a0	a0	PROPN
fuelectenerg-3144	1094	37	an	an	DET
fuelectenerg-3144	1094	38	c	c	PROPN
fuelectenerg-3144	1094	39	(	(	PUNCT
fuelectenerg-3144	1094	40	c	c	NOUN
fuelectenerg-3144	1094	41	)	)	PUNCT
fuelectenerg-3144	1094	42	c	c	NOUN
fuelectenerg-3144	1094	43	anan−1	anan−1	PROPN
fuelectenerg-3144	1094	44	...	...	PUNCT
fuelectenerg-3144	1094	45	a1a0	a1a0	ADP
fuelectenerg-3144	1094	46	n	n	ADV
fuelectenerg-3144	1094	47	+1	+1	NOUN
fuelectenerg-3144	1094	48	(	(	PUNCT
fuelectenerg-3144	1094	49	d	d	NOUN
fuelectenerg-3144	1094	50	)	)	PUNCT
fuelectenerg-3144	1094	51	figure	figure	NOUN
fuelectenerg-3144	1094	52	17	17	NUM
fuelectenerg-3144	1094	53	:	:	PUNCT
fuelectenerg-3144	1094	54	(	(	PUNCT
fuelectenerg-3144	1094	55	a	a	X
fuelectenerg-3144	1094	56	)	)	PUNCT
fuelectenerg-3144	1094	57	a	a	DET
fuelectenerg-3144	1094	58	three	three	NUM
fuelectenerg-3144	1094	59	-	-	PUNCT
fuelectenerg-3144	1094	60	qubit	qubit	NOUN
fuelectenerg-3144	1094	61	incrementer	incrementer	NOUN
fuelectenerg-3144	1094	62	;	;	PUNCT
fuelectenerg-3144	1094	63	(	(	PUNCT
fuelectenerg-3144	1094	64	b	b	X
fuelectenerg-3144	1094	65	)	)	PUNCT
fuelectenerg-3144	1094	66	general	general	ADJ
fuelectenerg-3144	1094	67	n	n	CCONJ
fuelectenerg-3144	1094	68	-	-	PUNCT
fuelectenerg-3144	1094	69	qubit	qubit	NOUN
fuelectenerg-3144	1094	70	incrementer	incrementer	NOUN
fuelectenerg-3144	1094	71	;	;	PUNCT
fuelectenerg-3144	1094	72	(	(	PUNCT
fuelectenerg-3144	1094	73	c	c	X
fuelectenerg-3144	1094	74	)	)	PUNCT
fuelectenerg-3144	1094	75	controlled	control	VERB
fuelectenerg-3144	1094	76	three	three	NUM
fuelectenerg-3144	1094	77	-	-	PUNCT
fuelectenerg-3144	1094	78	qubit	qubit	NOUN
fuelectenerg-3144	1094	79	incrementer	incrementer	NOUN
fuelectenerg-3144	1094	80	;	;	PUNCT
fuelectenerg-3144	1094	81	(	(	PUNCT
fuelectenerg-3144	1094	82	d	d	X
fuelectenerg-3144	1094	83	)	)	PUNCT
fuelectenerg-3144	1094	84	schematic	schematic	ADJ
fuelectenerg-3144	1094	85	symbol	symbol	NOUN
fuelectenerg-3144	1094	86	for	for	ADP
fuelectenerg-3144	1094	87	the	the	DET
fuelectenerg-3144	1094	88	controlled	control	VERB
fuelectenerg-3144	1094	89	incrementer	incrementer	NOUN
fuelectenerg-3144	1094	90	.	.	PUNCT
fuelectenerg-3144	1095	1	around	around	ADV
fuelectenerg-3144	1095	2	to	to	ADP
fuelectenerg-3144	1095	3	0	0	NUM
fuelectenerg-3144	1095	4	upon	upon	SCONJ
fuelectenerg-3144	1095	5	increment	increment	NOUN
fuelectenerg-3144	1095	6	.	.	PUNCT
fuelectenerg-3144	1096	1	figure	figure	NOUN
fuelectenerg-3144	1096	2	17(b	17(b	NUM
fuelectenerg-3144	1096	3	)	)	PUNCT
fuelectenerg-3144	1096	4	illustrates	illustrate	VERB
fuelectenerg-3144	1096	5	how	how	SCONJ
fuelectenerg-3144	1096	6	the	the	DET
fuelectenerg-3144	1096	7	incrementer	incrementer	NOUN
fuelectenerg-3144	1096	8	is	be	AUX
fuelectenerg-3144	1096	9	extended	extend	VERB
fuelectenerg-3144	1096	10	to	to	ADP
fuelectenerg-3144	1096	11	any	any	DET
fuelectenerg-3144	1096	12	number	number	NOUN
fuelectenerg-3144	1096	13	of	of	ADP
fuelectenerg-3144	1096	14	qubits	qubit	NOUN
fuelectenerg-3144	1096	15	.	.	PUNCT
fuelectenerg-3144	1097	1	figure	figure	VERB
fuelectenerg-3144	1097	2	17(c	17(c	NUM
fuelectenerg-3144	1097	3	)	)	PUNCT
fuelectenerg-3144	1097	4	then	then	ADV
fuelectenerg-3144	1097	5	demonstrates	demonstrate	VERB
fuelectenerg-3144	1097	6	how	how	SCONJ
fuelectenerg-3144	1097	7	,	,	PUNCT
fuelectenerg-3144	1097	8	by	by	ADP
fuelectenerg-3144	1097	9	adding	add	VERB
fuelectenerg-3144	1097	10	an	an	DET
fuelectenerg-3144	1097	11	additional	additional	ADJ
fuelectenerg-3144	1097	12	control	control	NOUN
fuelectenerg-3144	1097	13	qubit	qubit	NOUN
fuelectenerg-3144	1097	14	to	to	ADP
fuelectenerg-3144	1097	15	each	each	DET
fuelectenerg-3144	1097	16	individual	individual	ADJ
fuelectenerg-3144	1097	17	gate	gate	NOUN
fuelectenerg-3144	1097	18	making	make	VERB
fuelectenerg-3144	1097	19	up	up	ADP
fuelectenerg-3144	1097	20	the	the	DET
fuelectenerg-3144	1097	21	incrementer	incrementer	NOUN
fuelectenerg-3144	1097	22	,	,	PUNCT
fuelectenerg-3144	1097	23	a	a	DET
fuelectenerg-3144	1097	24	controlled	control	VERB
fuelectenerg-3144	1097	25	incrementer	incrementer	NOUN
fuelectenerg-3144	1097	26	is	be	AUX
fuelectenerg-3144	1097	27	produced	produce	VERB
fuelectenerg-3144	1097	28	.	.	PUNCT
fuelectenerg-3144	1098	1	as	as	SCONJ
fuelectenerg-3144	1098	2	the	the	DET
fuelectenerg-3144	1098	3	name	name	NOUN
fuelectenerg-3144	1098	4	suggests	suggest	VERB
fuelectenerg-3144	1098	5	,	,	PUNCT
fuelectenerg-3144	1098	6	the	the	DET
fuelectenerg-3144	1098	7	controlled	control	VERB
fuelectenerg-3144	1098	8	incrementer	incrementer	NOUN
fuelectenerg-3144	1098	9	only	only	ADV
fuelectenerg-3144	1098	10	increments	increment	VERB
fuelectenerg-3144	1098	11	the	the	DET
fuelectenerg-3144	1098	12	register	register	NOUN
fuelectenerg-3144	1098	13	an	an	PRON
fuelectenerg-3144	1098	14	.	.	PUNCT
fuelectenerg-3144	1098	15	.	.	PUNCT
fuelectenerg-3144	1098	16	.	.	PUNCT
fuelectenerg-3144	1099	1	a2a1a0	a2a1a0	PRON
fuelectenerg-3144	1099	2	if	if	SCONJ
fuelectenerg-3144	1099	3	the	the	DET
fuelectenerg-3144	1099	4	control	control	NOUN
fuelectenerg-3144	1099	5	qubit	qubit	NOUN
fuelectenerg-3144	1099	6	c	c	PROPN
fuelectenerg-3144	1099	7	is	be	AUX
fuelectenerg-3144	1099	8	in	in	ADP
fuelectenerg-3144	1099	9	the	the	DET
fuelectenerg-3144	1099	10	state	state	NOUN
fuelectenerg-3144	1099	11	|1	|1	PRON
fuelectenerg-3144	1099	12	〉	〉	PROPN
fuelectenerg-3144	1099	13	.	.	PUNCT
fuelectenerg-3144	1100	1	figure	figure	NOUN
fuelectenerg-3144	1100	2	17(d	17(d	NUM
fuelectenerg-3144	1100	3	)	)	PUNCT
fuelectenerg-3144	1100	4	depicts	depict	VERB
fuelectenerg-3144	1100	5	the	the	DET
fuelectenerg-3144	1100	6	schematic	schematic	ADJ
fuelectenerg-3144	1100	7	symbol	symbol	NOUN
fuelectenerg-3144	1100	8	that	that	PRON
fuelectenerg-3144	1100	9	we	we	PRON
fuelectenerg-3144	1100	10	will	will	AUX
fuelectenerg-3144	1100	11	use	use	VERB
fuelectenerg-3144	1100	12	from	from	ADP
fuelectenerg-3144	1100	13	now	now	ADV
fuelectenerg-3144	1100	14	on	on	ADV
fuelectenerg-3144	1100	15	to	to	PART
fuelectenerg-3144	1100	16	compactly	compactly	ADV
fuelectenerg-3144	1100	17	represent	represent	VERB
fuelectenerg-3144	1100	18	a	a	DET
fuelectenerg-3144	1100	19	controlled	control	VERB
fuelectenerg-3144	1100	20	incrementer	incrementer	NOUN
fuelectenerg-3144	1100	21	.	.	PUNCT
fuelectenerg-3144	1101	1	observe	observe	VERB
fuelectenerg-3144	1101	2	that	that	SCONJ
fuelectenerg-3144	1101	3	the	the	DET
fuelectenerg-3144	1101	4	lower	low	ADJ
fuelectenerg-3144	1101	5	line	line	NOUN
fuelectenerg-3144	1101	6	in	in	ADP
fuelectenerg-3144	1101	7	this	this	DET
fuelectenerg-3144	1101	8	schematic	schematic	ADJ
fuelectenerg-3144	1101	9	represents	represent	VERB
fuelectenerg-3144	1101	10	not	not	PART
fuelectenerg-3144	1101	11	a	a	DET
fuelectenerg-3144	1101	12	single	single	ADJ
fuelectenerg-3144	1101	13	qubit	qubit	NOUN
fuelectenerg-3144	1101	14	but	but	CCONJ
fuelectenerg-3144	1101	15	an	an	DET
fuelectenerg-3144	1101	16	entire	entire	ADJ
fuelectenerg-3144	1101	17	register	register	NOUN
fuelectenerg-3144	1101	18	or	or	CCONJ
fuelectenerg-3144	1101	19	array	array	NOUN
fuelectenerg-3144	1101	20	of	of	ADP
fuelectenerg-3144	1101	21	n	n	DET
fuelectenerg-3144	1101	22	qubits	qubit	NOUN
fuelectenerg-3144	1101	23	.	.	PUNCT
fuelectenerg-3144	1102	1	using	use	VERB
fuelectenerg-3144	1102	2	controlled	control	VERB
fuelectenerg-3144	1102	3	incrementers	incrementer	NOUN
fuelectenerg-3144	1102	4	,	,	PUNCT
fuelectenerg-3144	1102	5	figure	figure	VERB
fuelectenerg-3144	1102	6	18	18	NUM
fuelectenerg-3144	1102	7	illustrates	illustrate	VERB
fuelectenerg-3144	1102	8	how	how	SCONJ
fuelectenerg-3144	1102	9	a	a	DET
fuelectenerg-3144	1102	10	quantum	quantum	NOUN
fuelectenerg-3144	1102	11	counter	counter	NOUN
fuelectenerg-3144	1102	12	is	be	AUX
fuelectenerg-3144	1102	13	formed	form	VERB
fuelectenerg-3144	1102	14	by	by	ADP
fuelectenerg-3144	1102	15	a	a	DET
fuelectenerg-3144	1102	16	sequence	sequence	NOUN
fuelectenerg-3144	1102	17	of	of	ADP
fuelectenerg-3144	1102	18	controlled	control	VERB
fuelectenerg-3144	1102	19	incrementers	incrementer	NOUN
fuelectenerg-3144	1102	20	all	all	PRON
fuelectenerg-3144	1102	21	acting	act	VERB
fuelectenerg-3144	1102	22	on	on	ADP
fuelectenerg-3144	1102	23	the	the	DET
fuelectenerg-3144	1102	24	same	same	ADJ
fuelectenerg-3144	1102	25	target	target	NOUN
fuelectenerg-3144	1102	26	register	register	NOUN
fuelectenerg-3144	1102	27	.	.	PUNCT
fuelectenerg-3144	1103	1	this	this	DET
fuelectenerg-3144	1103	2	register	register	PROPN
fuelectenerg-3144	1103	3	stores	store	NOUN
fuelectenerg-3144	1103	4	a	a	DET
fuelectenerg-3144	1103	5	running	running	NOUN
fuelectenerg-3144	1103	6	count	count	NOUN
fuelectenerg-3144	1103	7	which	which	PRON
fuelectenerg-3144	1103	8	will	will	AUX
fuelectenerg-3144	1103	9	be	be	AUX
fuelectenerg-3144	1103	10	incremented	incremente	VERB
fuelectenerg-3144	1103	11	once	once	ADV
fuelectenerg-3144	1103	12	for	for	ADP
fuelectenerg-3144	1103	13	each	each	DET
fuelectenerg-3144	1103	14	control	control	NOUN
fuelectenerg-3144	1103	15	qubit	qubit	NOUN
fuelectenerg-3144	1103	16	in	in	ADP
fuelectenerg-3144	1103	17	the	the	DET
fuelectenerg-3144	1103	18	state	state	NOUN
fuelectenerg-3144	1103	19	|1	|1	PRON
fuelectenerg-3144	1103	20	〉	〉	NOUN
fuelectenerg-3144	1103	21	.	.	PUNCT
fuelectenerg-3144	1104	1	since	since	SCONJ
fuelectenerg-3144	1104	2	the	the	DET
fuelectenerg-3144	1104	3	register	register	NOUN
fuelectenerg-3144	1104	4	is	be	AUX
fuelectenerg-3144	1104	5	initialized	initialize	VERB
fuelectenerg-3144	1104	6	to	to	ADP
fuelectenerg-3144	1104	7	|000	|000	PROPN
fuelectenerg-3144	1104	8	〉	〉	PROPN
fuelectenerg-3144	1104	9	,	,	PUNCT
fuelectenerg-3144	1104	10	the	the	DET
fuelectenerg-3144	1104	11	final	final	ADJ
fuelectenerg-3144	1104	12	value	value	NOUN
fuelectenerg-3144	1104	13	on	on	ADP
fuelectenerg-3144	1104	14	the	the	DET
fuelectenerg-3144	1104	15	register	register	NOUN
fuelectenerg-3144	1104	16	is	be	AUX
fuelectenerg-3144	1104	17	simply	simply	ADV
fuelectenerg-3144	1104	18	the	the	DET
fuelectenerg-3144	1104	19	total	total	ADJ
fuelectenerg-3144	1104	20	number	number	NOUN
fuelectenerg-3144	1104	21	of	of	ADP
fuelectenerg-3144	1104	22	control	control	NOUN
fuelectenerg-3144	1104	23	qubits	qubit	NOUN
fuelectenerg-3144	1104	24	in	in	ADP
fuelectenerg-3144	1104	25	the	the	DET
fuelectenerg-3144	1104	26	state	state	NOUN
fuelectenerg-3144	1104	27	|1	|1	PRON
fuelectenerg-3144	1104	28	〉	〉	NOUN
fuelectenerg-3144	1104	29	,	,	PUNCT
fuelectenerg-3144	1104	30	represented	represent	VERB
fuelectenerg-3144	1104	31	as	as	ADP
fuelectenerg-3144	1104	32	a	a	DET
fuelectenerg-3144	1104	33	base	base	NOUN
fuelectenerg-3144	1104	34	-	-	PUNCT
fuelectenerg-3144	1104	35	two	two	NUM
fuelectenerg-3144	1104	36	integer	integer	NOUN
fuelectenerg-3144	1104	37	as	as	ADP
fuelectenerg-3144	1104	38	before	before	ADV
fuelectenerg-3144	1104	39	.	.	PUNCT
fuelectenerg-3144	1105	1	we	we	PRON
fuelectenerg-3144	1105	2	observe	observe	VERB
fuelectenerg-3144	1105	3	that	that	SCONJ
fuelectenerg-3144	1105	4	the	the	DET
fuelectenerg-3144	1105	5	quantum	quantum	PROPN
fuelectenerg-3144	1105	6	counter	counter	NOUN
fuelectenerg-3144	1105	7	depicted	depict	VERB
fuelectenerg-3144	1105	8	here	here	ADV
fuelectenerg-3144	1105	9	is	be	AUX
fuelectenerg-3144	1105	10	limited	limit	VERB
fuelectenerg-3144	1105	11	to	to	ADP
fuelectenerg-3144	1105	12	a	a	DET
fuelectenerg-3144	1105	13	maximum	maximum	NOUN
fuelectenerg-3144	1105	14	of	of	ADP
fuelectenerg-3144	1105	15	seven	seven	NUM
fuelectenerg-3144	1105	16	control	control	NOUN
fuelectenerg-3144	1105	17	qubits	qubit	NOUN
fuelectenerg-3144	1105	18	because	because	SCONJ
fuelectenerg-3144	1105	19	the	the	DET
fuelectenerg-3144	1105	20	maximum	maximum	ADJ
fuelectenerg-3144	1105	21	value	value	NOUN
fuelectenerg-3144	1105	22	of	of	ADP
fuelectenerg-3144	1105	23	the	the	DET
fuelectenerg-3144	1105	24	three	three	NUM
fuelectenerg-3144	1105	25	-	-	PUNCT
fuelectenerg-3144	1105	26	qubit	qubit	NOUN
fuelectenerg-3144	1105	27	target	target	NOUN
fuelectenerg-3144	1105	28	register	register	NOUN
fuelectenerg-3144	1105	29	is	be	AUX
fuelectenerg-3144	1105	30	|111	|111	ADJ
fuelectenerg-3144	1105	31	〉	〉	NOUN
fuelectenerg-3144	1105	32	.	.	PUNCT
fuelectenerg-3144	1106	1	attempting	attempt	VERB
fuelectenerg-3144	1106	2	to	to	PART
fuelectenerg-3144	1106	3	count	count	VERB
fuelectenerg-3144	1106	4	further	far	ADV
fuelectenerg-3144	1106	5	than	than	ADP
fuelectenerg-3144	1106	6	this	this	PRON
fuelectenerg-3144	1106	7	would	would	AUX
fuelectenerg-3144	1106	8	simply	simply	ADV
fuelectenerg-3144	1106	9	result	result	VERB
fuelectenerg-3144	1106	10	in	in	ADP
fuelectenerg-3144	1106	11	the	the	DET
fuelectenerg-3144	1106	12	counter	counter	NOUN
fuelectenerg-3144	1106	13	wrapping	wrap	VERB
fuelectenerg-3144	1106	14	around	around	ADV
fuelectenerg-3144	1106	15	back	back	ADV
fuelectenerg-3144	1106	16	to	to	ADP
fuelectenerg-3144	1106	17	|000	|000	PROPN
fuelectenerg-3144	1106	18	〉	〉	PROPN
fuelectenerg-3144	1106	19	,	,	PUNCT
fuelectenerg-3144	1106	20	as	as	SCONJ
fuelectenerg-3144	1106	21	previously	previously	ADV
fuelectenerg-3144	1106	22	mentioned	mention	VERB
fuelectenerg-3144	1106	23	.	.	PUNCT
fuelectenerg-3144	1107	1	this	this	DET
fuelectenerg-3144	1107	2	limit	limit	NOUN
fuelectenerg-3144	1107	3	can	can	AUX
fuelectenerg-3144	1107	4	be	be	AUX
fuelectenerg-3144	1107	5	raised	raise	VERB
fuelectenerg-3144	1107	6	by	by	ADP
fuelectenerg-3144	1107	7	increasing	increase	VERB
fuelectenerg-3144	1107	8	the	the	DET
fuelectenerg-3144	1107	9	size	size	NOUN
fuelectenerg-3144	1107	10	of	of	ADP
fuelectenerg-3144	1107	11	the	the	DET
fuelectenerg-3144	1107	12	target	target	NOUN
fuelectenerg-3144	1107	13	register	register	VERB
fuelectenerg-3144	1107	14	;	;	PUNCT
fuelectenerg-3144	1107	15	a	a	DET
fuelectenerg-3144	1107	16	target	target	NOUN
fuelectenerg-3144	1107	17	register	register	NOUN
fuelectenerg-3144	1107	18	consisting	consist	VERB
fuelectenerg-3144	1107	19	of	of	ADP
fuelectenerg-3144	1107	20	n	n	DET
fuelectenerg-3144	1107	21	qubits	qubit	NOUN
fuelectenerg-3144	1107	22	will	will	AUX
fuelectenerg-3144	1107	23	allow	allow	VERB
fuelectenerg-3144	1107	24	the	the	DET
fuelectenerg-3144	1107	25	quantum	quantum	PROPN
fuelectenerg-3144	1107	26	counter	counter	NOUN
fuelectenerg-3144	1107	27	to	to	PART
fuelectenerg-3144	1107	28	count	count	VERB
fuelectenerg-3144	1107	29	up	up	ADP
fuelectenerg-3144	1107	30	a	a	DET
fuelectenerg-3144	1107	31	maximum	maximum	ADJ
fuelectenerg-3144	1107	32	value	value	NOUN
fuelectenerg-3144	1107	33	of	of	ADP
fuelectenerg-3144	1107	34	2n	2n	NUM
fuelectenerg-3144	1107	35	−	−	ADP
fuelectenerg-3144	1107	36	1	1	NUM
fuelectenerg-3144	1107	37	.	.	PUNCT
fuelectenerg-3144	1107	38	with	with	ADP
fuelectenerg-3144	1107	39	quantum	quantum	NOUN
fuelectenerg-3144	1107	40	counters	counter	NOUN
fuelectenerg-3144	1107	41	,	,	PUNCT
fuelectenerg-3144	1107	42	it	it	PRON
fuelectenerg-3144	1107	43	is	be	AUX
fuelectenerg-3144	1107	44	easy	easy	ADJ
fuelectenerg-3144	1107	45	to	to	PART
fuelectenerg-3144	1107	46	construct	construct	VERB
fuelectenerg-3144	1107	47	a	a	DET
fuelectenerg-3144	1107	48	quantum	quantum	ADJ
fuelectenerg-3144	1107	49	circuit	circuit	NOUN
fuelectenerg-3144	1107	50	that	that	PRON
fuelectenerg-3144	1107	51	calculates	calculate	VERB
fuelectenerg-3144	1107	52	the	the	DET
fuelectenerg-3144	1107	53	total	total	ADJ
fuelectenerg-3144	1107	54	cost	cost	NOUN
fuelectenerg-3144	1107	55	of	of	ADP
fuelectenerg-3144	1107	56	an	an	DET
fuelectenerg-3144	1107	57	encoding	encoding	NOUN
fuelectenerg-3144	1107	58	.	.	PUNCT
fuelectenerg-3144	1108	1	we	we	PRON
fuelectenerg-3144	1108	2	recall	recall	VERB
fuelectenerg-3144	1108	3	that	that	PRON
fuelectenerg-3144	1108	4	cost	cost	NOUN
fuelectenerg-3144	1108	5	is	be	AUX
fuelectenerg-3144	1108	6	equal	equal	ADJ
fuelectenerg-3144	1108	7	to	to	ADP
fuelectenerg-3144	1108	8	the	the	DET
fuelectenerg-3144	1108	9	total	total	ADJ
fuelectenerg-3144	1108	10	number	number	NOUN
fuelectenerg-3144	1108	11	of	of	ADP
fuelectenerg-3144	1108	12	dependencies	dependency	NOUN
fuelectenerg-3144	1108	13	of	of	ADP
fuelectenerg-3144	1108	14	each	each	PRON
fuelectenerg-3144	1108	15	q+	q+	PUNCT
fuelectenerg-3144	1108	16	i	i	PRON
fuelectenerg-3144	1108	17	on	on	ADP
fuelectenerg-3144	1108	18	state	state	NOUN
fuelectenerg-3144	1108	19	and	and	CCONJ
fuelectenerg-3144	1108	20	input	input	NOUN
fuelectenerg-3144	1108	21	variables	variable	NOUN
fuelectenerg-3144	1108	22	32	32	NUM
fuelectenerg-3144	1108	23	c1	c1	PROPN
fuelectenerg-3144	1108	24	c2	c2	PROPN
fuelectenerg-3144	1108	25	c7	c7	PROPN
fuelectenerg-3144	1108	26	|000	|000	PROPN
fuelectenerg-3144	1108	27	〉	〉	PROPN
fuelectenerg-3144	1108	28	∑	∑	PUNCT
fuelectenerg-3144	1108	29	ci3	ci3	PROPN
fuelectenerg-3144	1109	1	+1	+1	ADJ
fuelectenerg-3144	1109	2	+1	+1	ADJ
fuelectenerg-3144	1109	3	+1	+1	ADJ
fuelectenerg-3144	1109	4	figure	figure	NOUN
fuelectenerg-3144	1109	5	18	18	NUM
fuelectenerg-3144	1109	6	:	:	PUNCT
fuelectenerg-3144	1109	7	an	an	DET
fuelectenerg-3144	1109	8	example	example	NOUN
fuelectenerg-3144	1109	9	of	of	ADP
fuelectenerg-3144	1109	10	a	a	DET
fuelectenerg-3144	1109	11	quantum	quantum	PROPN
fuelectenerg-3144	1109	12	counter	counter	NOUN
fuelectenerg-3144	1109	13	.	.	PUNCT
fuelectenerg-3144	1110	1	|1	|1	NUM
fuelectenerg-3144	1110	2	〉	〉	NOUN
fuelectenerg-3144	1110	3	|00	|00	NOUN
fuelectenerg-3144	1110	4	.	.	PUNCT
fuelectenerg-3144	1110	5	.	.	PUNCT
fuelectenerg-3144	1111	1	.	.	PUNCT
fuelectenerg-3144	1112	1	0	0	NUM
fuelectenerg-3144	1112	2	〉	〉	NUM
fuelectenerg-3144	1112	3	input	input	NOUN
fuelectenerg-3144	1112	4	qubits	qubit	NOUN
fuelectenerg-3144	1112	5	ancilla	ancilla	PROPN
fuelectenerg-3144	1112	6	qubits	qubit	NOUN
fuelectenerg-3144	1112	7	d.c	d.c	PROPN
fuelectenerg-3144	1112	8	.	.	PROPN
fuelectenerg-3144	1113	1	q+	q+	ADP
fuelectenerg-3144	1113	2	1	1	NUM
fuelectenerg-3144	1113	3	,	,	PUNCT
fuelectenerg-3144	1113	4	q1	q1	PROPN
fuelectenerg-3144	1113	5	d.c	d.c	PROPN
fuelectenerg-3144	1113	6	.	.	PUNCT
fuelectenerg-3144	1114	1	q+	q+	ADP
fuelectenerg-3144	1114	2	1	1	NUM
fuelectenerg-3144	1114	3	,	,	PUNCT
fuelectenerg-3144	1114	4	q1	q1	VERB
fuelectenerg-3144	1114	5	+1	+1	PROPN
fuelectenerg-3144	1114	6	d.c	d.c	PROPN
fuelectenerg-3144	1114	7	.	.	PUNCT
fuelectenerg-3144	1115	1	q+	q+	ADP
fuelectenerg-3144	1115	2	1	1	NUM
fuelectenerg-3144	1115	3	,	,	PUNCT
fuelectenerg-3144	1115	4	q2	q2	PROPN
fuelectenerg-3144	1115	5	d.c	d.c	PROPN
fuelectenerg-3144	1115	6	.	.	PUNCT
fuelectenerg-3144	1116	1	q+	q+	ADP
fuelectenerg-3144	1116	2	1	1	NUM
fuelectenerg-3144	1116	3	,	,	PUNCT
fuelectenerg-3144	1116	4	q2	q2	NOUN
fuelectenerg-3144	1116	5	+1	+1	PROPN
fuelectenerg-3144	1116	6	d.c	d.c	PROPN
fuelectenerg-3144	1116	7	.	.	PROPN
fuelectenerg-3144	1117	1	q+	q+	NUM
fuelectenerg-3144	1117	2	n	n	PROPN
fuelectenerg-3144	1117	3	,	,	PUNCT
fuelectenerg-3144	1117	4	xm	xm	PROPN
fuelectenerg-3144	1117	5	d.c	d.c	PROPN
fuelectenerg-3144	1117	6	.	.	PROPN
fuelectenerg-3144	1118	1	q+	q+	NUM
fuelectenerg-3144	1118	2	n	n	PROPN
fuelectenerg-3144	1118	3	,	,	PUNCT
fuelectenerg-3144	1118	4	xm	xm	PROPN
fuelectenerg-3144	1118	5	+1	+1	PROPN
fuelectenerg-3144	1118	6	figure	figure	NOUN
fuelectenerg-3144	1118	7	19	19	NUM
fuelectenerg-3144	1118	8	:	:	PUNCT
fuelectenerg-3144	1118	9	quantum	quantum	ADJ
fuelectenerg-3144	1118	10	circuit	circuit	NOUN
fuelectenerg-3144	1118	11	to	to	PART
fuelectenerg-3144	1118	12	calculate	calculate	VERB
fuelectenerg-3144	1118	13	total	total	ADJ
fuelectenerg-3144	1118	14	cost	cost	NOUN
fuelectenerg-3144	1118	15	using	use	VERB
fuelectenerg-3144	1118	16	a	a	DET
fuelectenerg-3144	1118	17	quantum	quantum	ADJ
fuelectenerg-3144	1118	18	counter	counter	NOUN
fuelectenerg-3144	1118	19	.	.	PUNCT
fuelectenerg-3144	1119	1	qj	qj	PROPN
fuelectenerg-3144	1119	2	and	and	CCONJ
fuelectenerg-3144	1119	3	xk	xk	PROPN
fuelectenerg-3144	1119	4	,	,	PUNCT
fuelectenerg-3144	1119	5	summed	sum	VERB
fuelectenerg-3144	1119	6	over	over	ADP
fuelectenerg-3144	1119	7	all	all	DET
fuelectenerg-3144	1119	8	i.	i.	NOUN
fuelectenerg-3144	1119	9	therefore	therefore	ADV
fuelectenerg-3144	1119	10	,	,	PUNCT
fuelectenerg-3144	1119	11	we	we	PRON
fuelectenerg-3144	1119	12	create	create	VERB
fuelectenerg-3144	1119	13	a	a	DET
fuelectenerg-3144	1119	14	quantum	quantum	ADJ
fuelectenerg-3144	1119	15	circuit	circuit	NOUN
fuelectenerg-3144	1119	16	consisting	consist	VERB
fuelectenerg-3144	1119	17	of	of	ADP
fuelectenerg-3144	1119	18	many	many	ADJ
fuelectenerg-3144	1119	19	dependency	dependency	NOUN
fuelectenerg-3144	1119	20	checkers	checker	NOUN
fuelectenerg-3144	1119	21	,	,	PUNCT
fuelectenerg-3144	1119	22	one	one	NUM
fuelectenerg-3144	1119	23	to	to	PART
fuelectenerg-3144	1119	24	evaluate	evaluate	VERB
fuelectenerg-3144	1119	25	each	each	DET
fuelectenerg-3144	1119	26	possible	possible	ADJ
fuelectenerg-3144	1119	27	dependency	dependency	NOUN
fuelectenerg-3144	1119	28	,	,	PUNCT
fuelectenerg-3144	1119	29	where	where	SCONJ
fuelectenerg-3144	1119	30	the	the	DET
fuelectenerg-3144	1119	31	outputs	output	NOUN
fuelectenerg-3144	1119	32	of	of	ADP
fuelectenerg-3144	1119	33	the	the	DET
fuelectenerg-3144	1119	34	dependency	dependency	NOUN
fuelectenerg-3144	1119	35	checkers	checker	NOUN
fuelectenerg-3144	1119	36	are	be	AUX
fuelectenerg-3144	1119	37	fed	feed	VERB
fuelectenerg-3144	1119	38	to	to	ADP
fuelectenerg-3144	1119	39	a	a	DET
fuelectenerg-3144	1119	40	quantum	quantum	ADJ
fuelectenerg-3144	1119	41	counter	counter	NOUN
fuelectenerg-3144	1119	42	that	that	PRON
fuelectenerg-3144	1119	43	counts	count	VERB
fuelectenerg-3144	1119	44	the	the	DET
fuelectenerg-3144	1119	45	total	total	ADJ
fuelectenerg-3144	1119	46	number	number	NOUN
fuelectenerg-3144	1119	47	of	of	ADP
fuelectenerg-3144	1119	48	dependencies	dependency	NOUN
fuelectenerg-3144	1119	49	.	.	PUNCT
fuelectenerg-3144	1120	1	the	the	DET
fuelectenerg-3144	1120	2	final	final	ADJ
fuelectenerg-3144	1120	3	value	value	NOUN
fuelectenerg-3144	1120	4	of	of	ADP
fuelectenerg-3144	1120	5	the	the	DET
fuelectenerg-3144	1120	6	quantum	quantum	PROPN
fuelectenerg-3144	1120	7	counter	counter	NOUN
fuelectenerg-3144	1120	8	then	then	ADV
fuelectenerg-3144	1120	9	gives	give	VERB
fuelectenerg-3144	1120	10	the	the	DET
fuelectenerg-3144	1120	11	cost	cost	NOUN
fuelectenerg-3144	1120	12	of	of	ADP
fuelectenerg-3144	1120	13	the	the	DET
fuelectenerg-3144	1120	14	encoding	encoding	NOUN
fuelectenerg-3144	1120	15	represented	represent	VERB
fuelectenerg-3144	1120	16	by	by	ADP
fuelectenerg-3144	1120	17	the	the	DET
fuelectenerg-3144	1120	18	input	input	NOUN
fuelectenerg-3144	1120	19	qubits	qubit	NOUN
fuelectenerg-3144	1120	20	.	.	PUNCT
fuelectenerg-3144	1121	1	figure	figure	VERB
fuelectenerg-3144	1121	2	19	19	NUM
fuelectenerg-3144	1121	3	depicts	depict	VERB
fuelectenerg-3144	1121	4	the	the	DET
fuelectenerg-3144	1121	5	structure	structure	NOUN
fuelectenerg-3144	1121	6	of	of	ADP
fuelectenerg-3144	1121	7	the	the	DET
fuelectenerg-3144	1121	8	resulting	result	VERB
fuelectenerg-3144	1121	9	circuit	circuit	NOUN
fuelectenerg-3144	1121	10	.	.	PUNCT
fuelectenerg-3144	1122	1	in	in	ADP
fuelectenerg-3144	1122	2	figure	figure	NOUN
fuelectenerg-3144	1122	3	19	19	NUM
fuelectenerg-3144	1122	4	,	,	PUNCT
fuelectenerg-3144	1122	5	each	each	DET
fuelectenerg-3144	1122	6	block	block	NOUN
fuelectenerg-3144	1122	7	labeled	label	VERB
fuelectenerg-3144	1122	8	“	"	PUNCT
fuelectenerg-3144	1122	9	d.c	d.c	PROPN
fuelectenerg-3144	1122	10	.	.	PROPN
fuelectenerg-3144	1123	1	q+	q+	NUM
fuelectenerg-3144	1123	2	i	i	PRON
fuelectenerg-3144	1123	3	,	,	PUNCT
fuelectenerg-3144	1123	4	qj	qj	PROPN
fuelectenerg-3144	1123	5	”	"	PUNCT
fuelectenerg-3144	1123	6	or	or	CCONJ
fuelectenerg-3144	1123	7	“	"	PUNCT
fuelectenerg-3144	1123	8	d.c	d.c	PROPN
fuelectenerg-3144	1123	9	.	.	PROPN
fuelectenerg-3144	1124	1	q+	q+	NUM
fuelectenerg-3144	1124	2	i	i	PRON
fuelectenerg-3144	1124	3	,	,	PUNCT
fuelectenerg-3144	1124	4	xj	xj	PROPN
fuelectenerg-3144	1124	5	”	"	PUNCT
fuelectenerg-3144	1124	6	represents	represent	VERB
fuelectenerg-3144	1124	7	a	a	DET
fuelectenerg-3144	1124	8	dependency	dependency	NOUN
fuelectenerg-3144	1124	9	checker	checker	NOUN
fuelectenerg-3144	1124	10	that	that	PRON
fuelectenerg-3144	1124	11	checks	check	VERB
fuelectenerg-3144	1124	12	whether	whether	SCONJ
fuelectenerg-3144	1124	13	q+	q+	ADV
fuelectenerg-3144	1124	14	i	i	PRON
fuelectenerg-3144	1124	15	depends	depend	VERB
fuelectenerg-3144	1124	16	on	on	ADP
fuelectenerg-3144	1124	17	qj	qj	PROPN
fuelectenerg-3144	1124	18	or	or	CCONJ
fuelectenerg-3144	1124	19	xj	xj	PROPN
fuelectenerg-3144	1124	20	,	,	PUNCT
fuelectenerg-3144	1124	21	respectively	respectively	ADV
fuelectenerg-3144	1124	22	.	.	PUNCT
fuelectenerg-3144	1125	1	due	due	ADP
fuelectenerg-3144	1125	2	to	to	ADP
fuelectenerg-3144	1125	3	space	space	NOUN
fuelectenerg-3144	1125	4	constraints	constraint	NOUN
fuelectenerg-3144	1125	5	,	,	PUNCT
fuelectenerg-3144	1125	6	only	only	ADV
fuelectenerg-3144	1125	7	a	a	DET
fuelectenerg-3144	1125	8	few	few	ADJ
fuelectenerg-3144	1125	9	checkers	checker	NOUN
fuelectenerg-3144	1125	10	are	be	AUX
fuelectenerg-3144	1125	11	shown	show	VERB
fuelectenerg-3144	1125	12	in	in	ADP
fuelectenerg-3144	1125	13	figure	figure	NOUN
fuelectenerg-3144	1125	14	19	19	NUM
fuelectenerg-3144	1125	15	,	,	PUNCT
fuelectenerg-3144	1125	16	but	but	CCONJ
fuelectenerg-3144	1125	17	the	the	DET
fuelectenerg-3144	1125	18	full	full	ADJ
fuelectenerg-3144	1125	19	circuit	circuit	NOUN
fuelectenerg-3144	1125	20	requires	require	VERB
fuelectenerg-3144	1125	21	dependency	dependency	NOUN
fuelectenerg-3144	1125	22	checkers	checker	NOUN
fuelectenerg-3144	1125	23	for	for	ADP
fuelectenerg-3144	1125	24	every	every	DET
fuelectenerg-3144	1125	25	possible	possible	ADJ
fuelectenerg-3144	1125	26	combination	combination	NOUN
fuelectenerg-3144	1125	27	of	of	ADP
fuelectenerg-3144	1125	28	a	a	DET
fuelectenerg-3144	1125	29	q+	q+	NOUN
fuelectenerg-3144	1125	30	i	i	PRON
fuelectenerg-3144	1125	31	and	and	CCONJ
fuelectenerg-3144	1125	32	a	a	DET
fuelectenerg-3144	1125	33	qj	qj	PROPN
fuelectenerg-3144	1125	34	or	or	CCONJ
fuelectenerg-3144	1125	35	xj	xj	PROPN
fuelectenerg-3144	1125	36	.	.	PUNCT
fuelectenerg-3144	1126	1	in	in	ADP
fuelectenerg-3144	1126	2	other	other	ADJ
fuelectenerg-3144	1126	3	words	word	NOUN
fuelectenerg-3144	1126	4	,	,	PUNCT
fuelectenerg-3144	1126	5	the	the	DET
fuelectenerg-3144	1126	6	circuit	circuit	NOUN
fuelectenerg-3144	1126	7	contains	contain	VERB
fuelectenerg-3144	1126	8	dependency	dependency	NOUN
fuelectenerg-3144	1126	9	checkers	checker	NOUN
fuelectenerg-3144	1126	10	for	for	ADP
fuelectenerg-3144	1126	11	q+	q+	ADP
fuelectenerg-3144	1126	12	1	1	NUM
fuelectenerg-3144	1126	13	depending	depend	VERB
fuelectenerg-3144	1126	14	on	on	ADP
fuelectenerg-3144	1126	15	each	each	PRON
fuelectenerg-3144	1126	16	of	of	ADP
fuelectenerg-3144	1126	17	q1	q1	PROPN
fuelectenerg-3144	1126	18	through	through	ADP
fuelectenerg-3144	1126	19	qn	qn	PROPN
fuelectenerg-3144	1126	20	and	and	CCONJ
fuelectenerg-3144	1126	21	x1	x1	PROPN
fuelectenerg-3144	1126	22	through	through	ADP
fuelectenerg-3144	1126	23	xm	xm	PROPN
fuelectenerg-3144	1126	24	,	,	PUNCT
fuelectenerg-3144	1126	25	q+	q+	ADP
fuelectenerg-3144	1126	26	2	2	NUM
fuelectenerg-3144	1126	27	depending	depend	VERB
fuelectenerg-3144	1126	28	on	on	ADP
fuelectenerg-3144	1126	29	each	each	PRON
fuelectenerg-3144	1126	30	of	of	ADP
fuelectenerg-3144	1126	31	q1	q1	PROPN
fuelectenerg-3144	1126	32	through	through	ADP
fuelectenerg-3144	1126	33	qn	qn	PROPN
fuelectenerg-3144	1126	34	and	and	CCONJ
fuelectenerg-3144	1126	35	x1	x1	NUM
fuelectenerg-3144	1126	36	through	through	ADP
fuelectenerg-3144	1126	37	xm	xm	PROPN
fuelectenerg-3144	1126	38	,	,	PUNCT
fuelectenerg-3144	1126	39	and	and	CCONJ
fuelectenerg-3144	1126	40	so	so	ADV
fuelectenerg-3144	1126	41	on	on	ADP
fuelectenerg-3144	1126	42	up	up	ADP
fuelectenerg-3144	1126	43	to	to	PART
fuelectenerg-3144	1126	44	q+	q+	ADJ
fuelectenerg-3144	1126	45	n	n	X
fuelectenerg-3144	1126	46	depending	depend	VERB
fuelectenerg-3144	1126	47	on	on	ADP
fuelectenerg-3144	1126	48	each	each	PRON
fuelectenerg-3144	1126	49	of	of	ADP
fuelectenerg-3144	1126	50	q1	q1	PROPN
fuelectenerg-3144	1126	51	through	through	ADP
fuelectenerg-3144	1126	52	qn	qn	PROPN
fuelectenerg-3144	1126	53	and	and	CCONJ
fuelectenerg-3144	1126	54	x1	x1	PROPN
fuelectenerg-3144	1126	55	through	through	ADP
fuelectenerg-3144	1126	56	xm	xm	PROPN
fuelectenerg-3144	1126	57	,	,	PUNCT
fuelectenerg-3144	1126	58	where	where	SCONJ
fuelectenerg-3144	1126	59	n	n	X
fuelectenerg-3144	1126	60	is	be	AUX
fuelectenerg-3144	1126	61	the	the	DET
fuelectenerg-3144	1126	62	number	number	NOUN
fuelectenerg-3144	1126	63	of	of	ADP
fuelectenerg-3144	1126	64	state	state	NOUN
fuelectenerg-3144	1126	65	variables	variable	NOUN
fuelectenerg-3144	1126	66	and	and	CCONJ
fuelectenerg-3144	1126	67	m	m	NOUN
fuelectenerg-3144	1126	68	is	be	AUX
fuelectenerg-3144	1126	69	the	the	DET
fuelectenerg-3144	1126	70	number	number	NOUN
fuelectenerg-3144	1126	71	of	of	ADP
fuelectenerg-3144	1126	72	input	input	NOUN
fuelectenerg-3144	1126	73	variables	variable	NOUN
fuelectenerg-3144	1126	74	.	.	PUNCT
fuelectenerg-3144	1127	1	thus	thus	ADV
fuelectenerg-3144	1127	2	,	,	PUNCT
fuelectenerg-3144	1127	3	the	the	DET
fuelectenerg-3144	1127	4	total	total	ADJ
fuelectenerg-3144	1127	5	number	number	NOUN
fuelectenerg-3144	1127	6	of	of	ADP
fuelectenerg-3144	1127	7	dependency	dependency	NOUN
fuelectenerg-3144	1127	8	checkers	checker	NOUN
fuelectenerg-3144	1127	9	is	be	AUX
fuelectenerg-3144	1127	10	n(n+m	n(n+m	NOUN
fuelectenerg-3144	1127	11	)	)	PUNCT
fuelectenerg-3144	1127	12	.	.	PUNCT
fuelectenerg-3144	1128	1	this	this	DET
fuelectenerg-3144	1128	2	number	number	NOUN
fuelectenerg-3144	1128	3	is	be	AUX
fuelectenerg-3144	1128	4	actually	actually	ADV
fuelectenerg-3144	1128	5	quite	quite	ADV
fuelectenerg-3144	1128	6	small	small	ADJ
fuelectenerg-3144	1128	7	relative	relative	ADJ
fuelectenerg-3144	1128	8	to	to	ADP
fuelectenerg-3144	1128	9	the	the	DET
fuelectenerg-3144	1128	10	size	size	NOUN
fuelectenerg-3144	1128	11	of	of	ADP
fuelectenerg-3144	1128	12	the	the	DET
fuelectenerg-3144	1128	13	state	state	NOUN
fuelectenerg-3144	1128	14	machine	machine	NOUN
fuelectenerg-3144	1128	15	being	be	AUX
fuelectenerg-3144	1128	16	encoded	encode	VERB
fuelectenerg-3144	1128	17	,	,	PUNCT
fuelectenerg-3144	1128	18	since	since	SCONJ
fuelectenerg-3144	1128	19	the	the	DET
fuelectenerg-3144	1128	20	number	number	NOUN
fuelectenerg-3144	1128	21	of	of	ADP
fuelectenerg-3144	1128	22	state	state	NOUN
fuelectenerg-3144	1128	23	and	and	CCONJ
fuelectenerg-3144	1128	24	input	input	NOUN
fuelectenerg-3144	1128	25	variables	variable	NOUN
fuelectenerg-3144	1128	26	grow	grow	VERB
fuelectenerg-3144	1128	27	only	only	ADV
fuelectenerg-3144	1128	28	logarithmically	logarithmically	ADV
fuelectenerg-3144	1128	29	with	with	ADP
fuelectenerg-3144	1128	30	the	the	DET
fuelectenerg-3144	1128	31	number	number	NOUN
fuelectenerg-3144	1128	32	of	of	ADP
fuelectenerg-3144	1128	33	states	state	NOUN
fuelectenerg-3144	1128	34	and	and	CCONJ
fuelectenerg-3144	1128	35	input	input	NOUN
fuelectenerg-3144	1128	36	values	value	NOUN
fuelectenerg-3144	1128	37	,	,	PUNCT
fuelectenerg-3144	1128	38	respectively	respectively	ADV
fuelectenerg-3144	1128	39	,	,	PUNCT
fuelectenerg-3144	1128	40	in	in	ADP
fuelectenerg-3144	1128	41	the	the	DET
fuelectenerg-3144	1128	42	fsm	fsm	PROPN
fuelectenerg-3144	1128	43	.	.	PUNCT
fuelectenerg-3144	1129	1	we	we	PRON
fuelectenerg-3144	1129	2	additionally	additionally	ADV
fuelectenerg-3144	1129	3	observe	observe	VERB
fuelectenerg-3144	1129	4	that	that	SCONJ
fuelectenerg-3144	1129	5	the	the	DET
fuelectenerg-3144	1129	6	quantum	quantum	PROPN
fuelectenerg-3144	1129	7	counter	counter	NOUN
fuelectenerg-3144	1129	8	used	use	VERB
fuelectenerg-3144	1129	9	in	in	ADP
fuelectenerg-3144	1129	10	figure	figure	NOUN
fuelectenerg-3144	1129	11	19	19	NUM
fuelectenerg-3144	1129	12	is	be	AUX
fuelectenerg-3144	1129	13	constructed	construct	VERB
fuelectenerg-3144	1129	14	slightly	slightly	ADV
fuelectenerg-3144	1129	15	differently	differently	ADV
fuelectenerg-3144	1129	16	from	from	ADP
fuelectenerg-3144	1129	17	the	the	DET
fuelectenerg-3144	1129	18	example	example	NOUN
fuelectenerg-3144	1129	19	shown	show	VERB
fuelectenerg-3144	1129	20	in	in	ADP
fuelectenerg-3144	1129	21	figure	figure	NOUN
fuelectenerg-3144	1129	22	18	18	NUM
fuelectenerg-3144	1129	23	.	.	PUNCT
fuelectenerg-3144	1130	1	33	33	NUM
fuelectenerg-3144	1130	2	200	200	NUM
fuelectenerg-3144	1130	3	e.	e.	PROPN
fuelectenerg-3144	1130	4	tsai	tsai	PROPN
fuelectenerg-3144	1130	5	,	,	PUNCT
fuelectenerg-3144	1130	6	m.	m.	PROPN
fuelectenerg-3144	1130	7	perkowski	perkowski	PROPN
fuelectenerg-3144	1130	8	a	a	DET
fuelectenerg-3144	1130	9	quantum	quantum	ADJ
fuelectenerg-3144	1130	10	algorithm	algorithm	NOUN
fuelectenerg-3144	1130	11	for	for	ADP
fuelectenerg-3144	1130	12	automata	automata	NOUN
fuelectenerg-3144	1130	13	encoding	encode	VERB
fuelectenerg-3144	1130	14	201	201	NUM
fuelectenerg-3144	1130	15	specifically	specifically	ADV
fuelectenerg-3144	1130	16	,	,	PUNCT
fuelectenerg-3144	1130	17	the	the	DET
fuelectenerg-3144	1130	18	quantum	quantum	ADJ
fuelectenerg-3144	1130	19	counter	counter	NOUN
fuelectenerg-3144	1130	20	in	in	ADP
fuelectenerg-3144	1130	21	figure	figure	NOUN
fuelectenerg-3144	1130	22	19	19	NUM
fuelectenerg-3144	1130	23	is	be	AUX
fuelectenerg-3144	1130	24	able	able	ADJ
fuelectenerg-3144	1130	25	to	to	PART
fuelectenerg-3144	1130	26	count	count	VERB
fuelectenerg-3144	1130	27	using	use	VERB
fuelectenerg-3144	1130	28	only	only	ADV
fuelectenerg-3144	1130	29	one	one	NUM
fuelectenerg-3144	1130	30	control	control	NOUN
fuelectenerg-3144	1130	31	qubit	qubit	NOUN
fuelectenerg-3144	1130	32	,	,	PUNCT
fuelectenerg-3144	1130	33	while	while	SCONJ
fuelectenerg-3144	1130	34	the	the	DET
fuelectenerg-3144	1130	35	one	one	NUM
fuelectenerg-3144	1130	36	in	in	ADP
fuelectenerg-3144	1130	37	figure	figure	NOUN
fuelectenerg-3144	1130	38	18	18	NUM
fuelectenerg-3144	1130	39	counts	count	VERB
fuelectenerg-3144	1130	40	the	the	DET
fuelectenerg-3144	1130	41	number	number	NOUN
fuelectenerg-3144	1130	42	of	of	ADP
fuelectenerg-3144	1130	43	ones	one	NOUN
fuelectenerg-3144	1130	44	present	present	ADJ
fuelectenerg-3144	1130	45	in	in	ADP
fuelectenerg-3144	1130	46	a	a	DET
fuelectenerg-3144	1130	47	whole	whole	ADJ
fuelectenerg-3144	1130	48	collection	collection	NOUN
fuelectenerg-3144	1130	49	of	of	ADP
fuelectenerg-3144	1130	50	control	control	NOUN
fuelectenerg-3144	1130	51	qubits	qubit	NOUN
fuelectenerg-3144	1130	52	.	.	PUNCT
fuelectenerg-3144	1131	1	the	the	DET
fuelectenerg-3144	1131	2	reason	reason	NOUN
fuelectenerg-3144	1131	3	for	for	ADP
fuelectenerg-3144	1131	4	this	this	DET
fuelectenerg-3144	1131	5	difference	difference	NOUN
fuelectenerg-3144	1131	6	is	be	AUX
fuelectenerg-3144	1131	7	that	that	SCONJ
fuelectenerg-3144	1131	8	the	the	DET
fuelectenerg-3144	1131	9	circuit	circuit	NOUN
fuelectenerg-3144	1131	10	in	in	ADP
fuelectenerg-3144	1131	11	figure	figure	NOUN
fuelectenerg-3144	1131	12	19	19	NUM
fuelectenerg-3144	1131	13	counts	count	VERB
fuelectenerg-3144	1131	14	the	the	DET
fuelectenerg-3144	1131	15	number	number	NOUN
fuelectenerg-3144	1131	16	of	of	ADP
fuelectenerg-3144	1131	17	ones	one	NOUN
fuelectenerg-3144	1131	18	not	not	PART
fuelectenerg-3144	1131	19	in	in	ADP
fuelectenerg-3144	1131	20	a	a	DET
fuelectenerg-3144	1131	21	collection	collection	NOUN
fuelectenerg-3144	1131	22	of	of	ADP
fuelectenerg-3144	1131	23	qubits	qubit	NOUN
fuelectenerg-3144	1131	24	,	,	PUNCT
fuelectenerg-3144	1131	25	but	but	CCONJ
fuelectenerg-3144	1131	26	appearing	appear	VERB
fuelectenerg-3144	1131	27	on	on	ADP
fuelectenerg-3144	1131	28	a	a	DET
fuelectenerg-3144	1131	29	single	single	ADJ
fuelectenerg-3144	1131	30	qubit	qubit	NOUN
fuelectenerg-3144	1131	31	at	at	ADP
fuelectenerg-3144	1131	32	different	different	ADJ
fuelectenerg-3144	1131	33	times	time	NOUN
fuelectenerg-3144	1131	34	.	.	PUNCT
fuelectenerg-3144	1132	1	in	in	ADP
fuelectenerg-3144	1132	2	other	other	ADJ
fuelectenerg-3144	1132	3	words	word	NOUN
fuelectenerg-3144	1132	4	,	,	PUNCT
fuelectenerg-3144	1132	5	the	the	DET
fuelectenerg-3144	1132	6	circuit	circuit	NOUN
fuelectenerg-3144	1132	7	places	place	VERB
fuelectenerg-3144	1132	8	the	the	DET
fuelectenerg-3144	1132	9	result	result	NOUN
fuelectenerg-3144	1132	10	of	of	ADP
fuelectenerg-3144	1132	11	a	a	DET
fuelectenerg-3144	1132	12	given	give	VERB
fuelectenerg-3144	1132	13	dependency	dependency	NOUN
fuelectenerg-3144	1132	14	checker	checker	NOUN
fuelectenerg-3144	1132	15	onto	onto	ADP
fuelectenerg-3144	1132	16	the	the	DET
fuelectenerg-3144	1132	17	single	single	ADJ
fuelectenerg-3144	1132	18	counter	counter	PROPN
fuelectenerg-3144	1132	19	control	control	NOUN
fuelectenerg-3144	1132	20	qubit	qubit	NOUN
fuelectenerg-3144	1132	21	and	and	CCONJ
fuelectenerg-3144	1132	22	uses	use	VERB
fuelectenerg-3144	1132	23	it	it	PRON
fuelectenerg-3144	1132	24	to	to	PART
fuelectenerg-3144	1132	25	update	update	VERB
fuelectenerg-3144	1132	26	the	the	DET
fuelectenerg-3144	1132	27	counter	counter	NOUN
fuelectenerg-3144	1132	28	,	,	PUNCT
fuelectenerg-3144	1132	29	but	but	CCONJ
fuelectenerg-3144	1132	30	crucially	crucially	ADV
fuelectenerg-3144	1132	31	,	,	PUNCT
fuelectenerg-3144	1132	32	the	the	DET
fuelectenerg-3144	1132	33	circuit	circuit	NOUN
fuelectenerg-3144	1132	34	then	then	ADV
fuelectenerg-3144	1132	35	applies	apply	VERB
fuelectenerg-3144	1132	36	the	the	DET
fuelectenerg-3144	1132	37	dependency	dependency	NOUN
fuelectenerg-3144	1132	38	checker	checker	NOUN
fuelectenerg-3144	1132	39	again	again	ADV
fuelectenerg-3144	1132	40	to	to	PART
fuelectenerg-3144	1132	41	restore	restore	VERB
fuelectenerg-3144	1132	42	that	that	DET
fuelectenerg-3144	1132	43	control	control	NOUN
fuelectenerg-3144	1132	44	qubit	qubit	NOUN
fuelectenerg-3144	1132	45	to	to	ADP
fuelectenerg-3144	1132	46	its	its	PRON
fuelectenerg-3144	1132	47	original	original	ADJ
fuelectenerg-3144	1132	48	state	state	NOUN
fuelectenerg-3144	1132	49	so	so	SCONJ
fuelectenerg-3144	1132	50	that	that	SCONJ
fuelectenerg-3144	1132	51	the	the	DET
fuelectenerg-3144	1132	52	next	next	ADJ
fuelectenerg-3144	1132	53	dependency	dependency	NOUN
fuelectenerg-3144	1132	54	checker	checker	NOUN
fuelectenerg-3144	1132	55	can	can	AUX
fuelectenerg-3144	1132	56	also	also	ADV
fuelectenerg-3144	1132	57	use	use	VERB
fuelectenerg-3144	1132	58	it	it	PRON
fuelectenerg-3144	1132	59	to	to	PART
fuelectenerg-3144	1132	60	update	update	VERB
fuelectenerg-3144	1132	61	the	the	DET
fuelectenerg-3144	1132	62	counter	counter	NOUN
fuelectenerg-3144	1132	63	as	as	ADV
fuelectenerg-3144	1132	64	well	well	ADV
fuelectenerg-3144	1132	65	.	.	PUNCT
fuelectenerg-3144	1133	1	in	in	ADP
fuelectenerg-3144	1133	2	this	this	DET
fuelectenerg-3144	1133	3	way	way	NOUN
fuelectenerg-3144	1133	4	,	,	PUNCT
fuelectenerg-3144	1133	5	the	the	DET
fuelectenerg-3144	1133	6	circuit	circuit	NOUN
fuelectenerg-3144	1133	7	is	be	AUX
fuelectenerg-3144	1133	8	able	able	ADJ
fuelectenerg-3144	1133	9	to	to	PART
fuelectenerg-3144	1133	10	count	count	VERB
fuelectenerg-3144	1133	11	dependencies	dependency	NOUN
fuelectenerg-3144	1133	12	without	without	ADP
fuelectenerg-3144	1133	13	using	use	VERB
fuelectenerg-3144	1133	14	a	a	DET
fuelectenerg-3144	1133	15	separate	separate	ADJ
fuelectenerg-3144	1133	16	ancilla	ancilla	NOUN
fuelectenerg-3144	1133	17	qubit	qubit	NOUN
fuelectenerg-3144	1133	18	to	to	PART
fuelectenerg-3144	1133	19	store	store	VERB
fuelectenerg-3144	1133	20	the	the	DET
fuelectenerg-3144	1133	21	result	result	NOUN
fuelectenerg-3144	1133	22	of	of	ADP
fuelectenerg-3144	1133	23	each	each	DET
fuelectenerg-3144	1133	24	dependency	dependency	NOUN
fuelectenerg-3144	1133	25	checker	checker	NOUN
fuelectenerg-3144	1133	26	.	.	PUNCT
fuelectenerg-3144	1134	1	as	as	SCONJ
fuelectenerg-3144	1134	2	previously	previously	ADV
fuelectenerg-3144	1134	3	mentioned	mention	VERB
fuelectenerg-3144	1134	4	,	,	PUNCT
fuelectenerg-3144	1134	5	the	the	DET
fuelectenerg-3144	1134	6	maximum	maximum	ADJ
fuelectenerg-3144	1134	7	value	value	NOUN
fuelectenerg-3144	1134	8	that	that	PRON
fuelectenerg-3144	1134	9	a	a	DET
fuelectenerg-3144	1134	10	quantum	quantum	NOUN
fuelectenerg-3144	1134	11	counter	counter	NOUN
fuelectenerg-3144	1134	12	can	can	AUX
fuelectenerg-3144	1134	13	reach	reach	VERB
fuelectenerg-3144	1134	14	before	before	ADP
fuelectenerg-3144	1134	15	wrapping	wrap	VERB
fuelectenerg-3144	1134	16	around	around	ADV
fuelectenerg-3144	1134	17	to	to	ADP
fuelectenerg-3144	1134	18	zero	zero	NUM
fuelectenerg-3144	1134	19	is	be	AUX
fuelectenerg-3144	1134	20	determined	determine	VERB
fuelectenerg-3144	1134	21	by	by	ADP
fuelectenerg-3144	1134	22	the	the	DET
fuelectenerg-3144	1134	23	number	number	NOUN
fuelectenerg-3144	1134	24	of	of	ADP
fuelectenerg-3144	1134	25	qubits	qubit	NOUN
fuelectenerg-3144	1134	26	in	in	ADP
fuelectenerg-3144	1134	27	the	the	DET
fuelectenerg-3144	1134	28	counter	counter	NOUN
fuelectenerg-3144	1134	29	’s	’s	PART
fuelectenerg-3144	1134	30	target	target	NOUN
fuelectenerg-3144	1134	31	register	register	VERB
fuelectenerg-3144	1134	32	.	.	PUNCT
fuelectenerg-3144	1135	1	in	in	ADP
fuelectenerg-3144	1135	2	figure	figure	NOUN
fuelectenerg-3144	1135	3	19	19	NUM
fuelectenerg-3144	1135	4	,	,	PUNCT
fuelectenerg-3144	1135	5	the	the	DET
fuelectenerg-3144	1135	6	size	size	NOUN
fuelectenerg-3144	1135	7	of	of	ADP
fuelectenerg-3144	1135	8	the	the	DET
fuelectenerg-3144	1135	9	quantum	quantum	PROPN
fuelectenerg-3144	1135	10	counter	counter	PROPN
fuelectenerg-3144	1135	11	’s	’s	PART
fuelectenerg-3144	1135	12	target	target	NOUN
fuelectenerg-3144	1135	13	register	register	NOUN
fuelectenerg-3144	1135	14	is	be	AUX
fuelectenerg-3144	1135	15	not	not	PART
fuelectenerg-3144	1135	16	explicitly	explicitly	ADV
fuelectenerg-3144	1135	17	indicated	indicate	VERB
fuelectenerg-3144	1135	18	because	because	SCONJ
fuelectenerg-3144	1135	19	it	it	PRON
fuelectenerg-3144	1135	20	depends	depend	VERB
fuelectenerg-3144	1135	21	on	on	ADP
fuelectenerg-3144	1135	22	the	the	DET
fuelectenerg-3144	1135	23	maximum	maximum	ADJ
fuelectenerg-3144	1135	24	possible	possible	ADJ
fuelectenerg-3144	1135	25	cost	cost	NOUN
fuelectenerg-3144	1135	26	.	.	PUNCT
fuelectenerg-3144	1136	1	the	the	DET
fuelectenerg-3144	1136	2	maximum	maximum	ADJ
fuelectenerg-3144	1136	3	possible	possible	ADJ
fuelectenerg-3144	1136	4	cost	cost	NOUN
fuelectenerg-3144	1136	5	is	be	AUX
fuelectenerg-3144	1136	6	equal	equal	ADJ
fuelectenerg-3144	1136	7	to	to	ADP
fuelectenerg-3144	1136	8	the	the	DET
fuelectenerg-3144	1136	9	total	total	ADJ
fuelectenerg-3144	1136	10	number	number	NOUN
fuelectenerg-3144	1136	11	of	of	ADP
fuelectenerg-3144	1136	12	possible	possible	ADJ
fuelectenerg-3144	1136	13	dependencies	dependency	NOUN
fuelectenerg-3144	1136	14	,	,	PUNCT
fuelectenerg-3144	1136	15	which	which	PRON
fuelectenerg-3144	1136	16	as	as	SCONJ
fuelectenerg-3144	1136	17	we	we	PRON
fuelectenerg-3144	1136	18	previously	previously	ADV
fuelectenerg-3144	1136	19	saw	see	VERB
fuelectenerg-3144	1136	20	is	be	AUX
fuelectenerg-3144	1136	21	n(n	n(n	PROPN
fuelectenerg-3144	1136	22	+	+	NOUN
fuelectenerg-3144	1136	23	m	m	NOUN
fuelectenerg-3144	1136	24	)	)	PUNCT
fuelectenerg-3144	1136	25	where	where	SCONJ
fuelectenerg-3144	1136	26	n	n	NUM
fuelectenerg-3144	1136	27	and	and	CCONJ
fuelectenerg-3144	1136	28	m	m	PROPN
fuelectenerg-3144	1136	29	are	be	AUX
fuelectenerg-3144	1136	30	the	the	DET
fuelectenerg-3144	1136	31	number	number	NOUN
fuelectenerg-3144	1136	32	of	of	ADP
fuelectenerg-3144	1136	33	states	state	NOUN
fuelectenerg-3144	1136	34	and	and	CCONJ
fuelectenerg-3144	1136	35	input	input	NOUN
fuelectenerg-3144	1136	36	values	value	NOUN
fuelectenerg-3144	1136	37	,	,	PUNCT
fuelectenerg-3144	1136	38	respectively	respectively	ADV
fuelectenerg-3144	1136	39	.	.	PUNCT
fuelectenerg-3144	1137	1	therefore	therefore	ADV
fuelectenerg-3144	1137	2	,	,	PUNCT
fuelectenerg-3144	1137	3	the	the	DET
fuelectenerg-3144	1137	4	quantum	quantum	PROPN
fuelectenerg-3144	1137	5	counter	counter	PROPN
fuelectenerg-3144	1137	6	’s	’s	PART
fuelectenerg-3144	1137	7	target	target	NOUN
fuelectenerg-3144	1137	8	register	register	NOUN
fuelectenerg-3144	1137	9	must	must	AUX
fuelectenerg-3144	1137	10	contain	contain	VERB
fuelectenerg-3144	1137	11	at	at	ADP
fuelectenerg-3144	1137	12	least	least	ADJ
fuelectenerg-3144	1137	13	�	�	NOUN
fuelectenerg-3144	1137	14	log2(n(n+m	log2(n(n+m	NOUN
fuelectenerg-3144	1137	15	)	)	PUNCT
fuelectenerg-3144	1137	16	+	+	NUM
fuelectenerg-3144	1137	17	1	1	X
fuelectenerg-3144	1137	18	)	)	PUNCT
fuelectenerg-3144	1137	19	�	�	NOUN
fuelectenerg-3144	1137	20	qubits	qubit	NOUN
fuelectenerg-3144	1137	21	to	to	PART
fuelectenerg-3144	1137	22	guarantee	guarantee	VERB
fuelectenerg-3144	1137	23	that	that	SCONJ
fuelectenerg-3144	1137	24	no	no	DET
fuelectenerg-3144	1137	25	wrap	wrap	NOUN
fuelectenerg-3144	1137	26	-	-	PUNCT
fuelectenerg-3144	1137	27	around	around	ADV
fuelectenerg-3144	1137	28	can	can	AUX
fuelectenerg-3144	1137	29	occur	occur	VERB
fuelectenerg-3144	1137	30	,	,	PUNCT
fuelectenerg-3144	1137	31	which	which	PRON
fuelectenerg-3144	1137	32	would	would	AUX
fuelectenerg-3144	1137	33	cause	cause	VERB
fuelectenerg-3144	1137	34	the	the	DET
fuelectenerg-3144	1137	35	circuit	circuit	NOUN
fuelectenerg-3144	1137	36	to	to	PART
fuelectenerg-3144	1137	37	produce	produce	VERB
fuelectenerg-3144	1137	38	an	an	DET
fuelectenerg-3144	1137	39	incorrect	incorrect	ADJ
fuelectenerg-3144	1137	40	result	result	NOUN
fuelectenerg-3144	1137	41	.	.	PUNCT
fuelectenerg-3144	1138	1	5.4	5.4	NUM
fuelectenerg-3144	1138	2	quantum	quantum	NOUN
fuelectenerg-3144	1138	3	threshold	threshold	NOUN
fuelectenerg-3144	1138	4	circuit	circuit	NOUN
fuelectenerg-3144	1138	5	with	with	ADP
fuelectenerg-3144	1138	6	a	a	DET
fuelectenerg-3144	1138	7	quantum	quantum	ADJ
fuelectenerg-3144	1138	8	circuit	circuit	NOUN
fuelectenerg-3144	1138	9	for	for	ADP
fuelectenerg-3144	1138	10	calculating	calculate	VERB
fuelectenerg-3144	1138	11	the	the	DET
fuelectenerg-3144	1138	12	cost	cost	NOUN
fuelectenerg-3144	1138	13	of	of	ADP
fuelectenerg-3144	1138	14	an	an	DET
fuelectenerg-3144	1138	15	encoding	encoding	NOUN
fuelectenerg-3144	1138	16	,	,	PUNCT
fuelectenerg-3144	1138	17	we	we	PRON
fuelectenerg-3144	1138	18	now	now	ADV
fuelectenerg-3144	1138	19	add	add	VERB
fuelectenerg-3144	1138	20	a	a	DET
fuelectenerg-3144	1138	21	threshold	threshold	NOUN
fuelectenerg-3144	1138	22	circuit	circuit	NOUN
fuelectenerg-3144	1138	23	to	to	PART
fuelectenerg-3144	1138	24	create	create	VERB
fuelectenerg-3144	1138	25	a	a	DET
fuelectenerg-3144	1138	26	quantum	quantum	ADJ
fuelectenerg-3144	1138	27	oracle	oracle	NOUN
fuelectenerg-3144	1138	28	that	that	PRON
fuelectenerg-3144	1138	29	determines	determine	VERB
fuelectenerg-3144	1138	30	whether	whether	SCONJ
fuelectenerg-3144	1138	31	the	the	DET
fuelectenerg-3144	1138	32	cost	cost	NOUN
fuelectenerg-3144	1138	33	of	of	ADP
fuelectenerg-3144	1138	34	the	the	DET
fuelectenerg-3144	1138	35	encoding	encoding	NOUN
fuelectenerg-3144	1138	36	is	be	AUX
fuelectenerg-3144	1138	37	less	less	ADJ
fuelectenerg-3144	1138	38	than	than	ADP
fuelectenerg-3144	1138	39	r	r	NOUN
fuelectenerg-3144	1138	40	,	,	PUNCT
fuelectenerg-3144	1138	41	where	where	SCONJ
fuelectenerg-3144	1138	42	r	r	NOUN
fuelectenerg-3144	1138	43	is	be	AUX
fuelectenerg-3144	1138	44	the	the	DET
fuelectenerg-3144	1138	45	threshold	threshold	NOUN
fuelectenerg-3144	1138	46	for	for	ADP
fuelectenerg-3144	1138	47	which	which	PRON
fuelectenerg-3144	1138	48	the	the	DET
fuelectenerg-3144	1138	49	oracle	oracle	NOUN
fuelectenerg-3144	1138	50	is	be	AUX
fuelectenerg-3144	1138	51	being	be	AUX
fuelectenerg-3144	1138	52	generated	generate	VERB
fuelectenerg-3144	1138	53	.	.	PUNCT
fuelectenerg-3144	1139	1	the	the	DET
fuelectenerg-3144	1139	2	threshold	threshold	NOUN
fuelectenerg-3144	1139	3	circuit	circuit	NOUN
fuelectenerg-3144	1139	4	accepts	accept	VERB
fuelectenerg-3144	1139	5	a	a	DET
fuelectenerg-3144	1139	6	set	set	NOUN
fuelectenerg-3144	1139	7	of	of	ADP
fuelectenerg-3144	1139	8	qubits	qubit	NOUN
fuelectenerg-3144	1139	9	representing	represent	VERB
fuelectenerg-3144	1139	10	a	a	DET
fuelectenerg-3144	1139	11	base	base	NOUN
fuelectenerg-3144	1139	12	-	-	PUNCT
fuelectenerg-3144	1139	13	two	two	NUM
fuelectenerg-3144	1139	14	integer	integer	NOUN
fuelectenerg-3144	1139	15	as	as	ADP
fuelectenerg-3144	1139	16	input	input	NOUN
fuelectenerg-3144	1139	17	and	and	CCONJ
fuelectenerg-3144	1139	18	produces	produce	VERB
fuelectenerg-3144	1139	19	an	an	DET
fuelectenerg-3144	1139	20	output	output	NOUN
fuelectenerg-3144	1139	21	that	that	PRON
fuelectenerg-3144	1139	22	depends	depend	VERB
fuelectenerg-3144	1139	23	on	on	ADP
fuelectenerg-3144	1139	24	whether	whether	SCONJ
fuelectenerg-3144	1139	25	the	the	DET
fuelectenerg-3144	1139	26	input	input	NOUN
fuelectenerg-3144	1139	27	is	be	AUX
fuelectenerg-3144	1139	28	less	less	ADJ
fuelectenerg-3144	1139	29	than	than	ADP
fuelectenerg-3144	1139	30	or	or	CCONJ
fuelectenerg-3144	1139	31	equal	equal	ADJ
fuelectenerg-3144	1139	32	to	to	ADP
fuelectenerg-3144	1139	33	r.	r.	NOUN
fuelectenerg-3144	1139	34	designing	design	VERB
fuelectenerg-3144	1139	35	such	such	ADJ
fuelectenerg-3144	1139	36	threshold	threshold	NOUN
fuelectenerg-3144	1139	37	circuits	circuit	NOUN
fuelectenerg-3144	1139	38	is	be	AUX
fuelectenerg-3144	1139	39	a	a	DET
fuelectenerg-3144	1139	40	well	well	ADV
fuelectenerg-3144	1139	41	-	-	PUNCT
fuelectenerg-3144	1139	42	known	know	VERB
fuelectenerg-3144	1139	43	and	and	CCONJ
fuelectenerg-3144	1139	44	solved	solve	VERB
fuelectenerg-3144	1139	45	problem	problem	NOUN
fuelectenerg-3144	1139	46	in	in	ADP
fuelectenerg-3144	1139	47	classical	classical	ADJ
fuelectenerg-3144	1139	48	digital	digital	ADJ
fuelectenerg-3144	1139	49	logic	logic	NOUN
fuelectenerg-3144	1139	50	.	.	PUNCT
fuelectenerg-3144	1140	1	for	for	ADP
fuelectenerg-3144	1140	2	instance	instance	NOUN
fuelectenerg-3144	1140	3	,	,	PUNCT
fuelectenerg-3144	1140	4	the	the	DET
fuelectenerg-3144	1140	5	following	follow	VERB
fuelectenerg-3144	1140	6	recursive	recursive	ADJ
fuelectenerg-3144	1140	7	procedure	procedure	NOUN
fuelectenerg-3144	1140	8	allows	allow	VERB
fuelectenerg-3144	1140	9	one	one	NUM
fuelectenerg-3144	1140	10	to	to	PART
fuelectenerg-3144	1140	11	generate	generate	VERB
fuelectenerg-3144	1140	12	a	a	DET
fuelectenerg-3144	1140	13	logical	logical	ADJ
fuelectenerg-3144	1140	14	expression	expression	NOUN
fuelectenerg-3144	1140	15	that	that	PRON
fuelectenerg-3144	1140	16	determines	determine	VERB
fuelectenerg-3144	1140	17	whether	whether	SCONJ
fuelectenerg-3144	1140	18	a	a	DET
fuelectenerg-3144	1140	19	given	give	VERB
fuelectenerg-3144	1140	20	base	base	NOUN
fuelectenerg-3144	1140	21	-	-	PUNCT
fuelectenerg-3144	1140	22	two	two	NUM
fuelectenerg-3144	1140	23	integer	integer	NOUN
fuelectenerg-3144	1140	24	(	(	PUNCT
fuelectenerg-3144	1140	25	anan−1	anan−1	PROPN
fuelectenerg-3144	1140	26	.	.	PUNCT
fuelectenerg-3144	1140	27	.	.	PUNCT
fuelectenerg-3144	1140	28	.	.	PUNCT
fuelectenerg-3144	1141	1	a1a0)2	a1a0)2	PROPN
fuelectenerg-3144	1141	2	is	be	AUX
fuelectenerg-3144	1141	3	less	less	ADJ
fuelectenerg-3144	1141	4	than	than	ADP
fuelectenerg-3144	1141	5	or	or	CCONJ
fuelectenerg-3144	1141	6	equal	equal	ADJ
fuelectenerg-3144	1141	7	to	to	ADP
fuelectenerg-3144	1141	8	a	a	DET
fuelectenerg-3144	1141	9	threshold	threshold	NOUN
fuelectenerg-3144	1141	10	(	(	PUNCT
fuelectenerg-3144	1141	11	rnrn−1	rnrn−1	PROPN
fuelectenerg-3144	1141	12	.	.	PUNCT
fuelectenerg-3144	1141	13	.	.	PUNCT
fuelectenerg-3144	1141	14	.	.	PUNCT
fuelectenerg-3144	1142	1	r1r0)2	r1r0)2	NOUN
fuelectenerg-3144	1142	2	:	:	PUNCT
fuelectenerg-3144	1143	1	1	1	X
fuelectenerg-3144	1143	2	.	.	X
fuelectenerg-3144	1143	3	if	if	SCONJ
fuelectenerg-3144	1143	4	the	the	DET
fuelectenerg-3144	1143	5	threshold	threshold	NOUN
fuelectenerg-3144	1143	6	and	and	CCONJ
fuelectenerg-3144	1143	7	value	value	NOUN
fuelectenerg-3144	1143	8	to	to	PART
fuelectenerg-3144	1143	9	be	be	AUX
fuelectenerg-3144	1143	10	compared	compare	VERB
fuelectenerg-3144	1143	11	against	against	ADP
fuelectenerg-3144	1143	12	it	it	PRON
fuelectenerg-3144	1143	13	consist	consist	VERB
fuelectenerg-3144	1143	14	of	of	ADP
fuelectenerg-3144	1143	15	only	only	ADV
fuelectenerg-3144	1143	16	a	a	DET
fuelectenerg-3144	1143	17	single	single	ADJ
fuelectenerg-3144	1143	18	bit	bit	NOUN
fuelectenerg-3144	1143	19	,	,	PUNCT
fuelectenerg-3144	1143	20	the	the	DET
fuelectenerg-3144	1143	21	expression	expression	NOUN
fuelectenerg-3144	1143	22	is	be	AUX
fuelectenerg-3144	1143	23	¬a0	¬a0	ADJ
fuelectenerg-3144	1143	24	if	if	SCONJ
fuelectenerg-3144	1143	25	r0	r0	NOUN
fuelectenerg-3144	1143	26	=	=	SYM
fuelectenerg-3144	1143	27	0	0	PUNCT
fuelectenerg-3144	1143	28	and	and	CCONJ
fuelectenerg-3144	1143	29	a	a	DET
fuelectenerg-3144	1143	30	constant	constant	ADJ
fuelectenerg-3144	1143	31	1	1	NUM
fuelectenerg-3144	1143	32	if	if	SCONJ
fuelectenerg-3144	1143	33	r0	r0	NOUN
fuelectenerg-3144	1143	34	=	=	NOUN
fuelectenerg-3144	1144	1	1	1	X
fuelectenerg-3144	1144	2	.	.	PUNCT
fuelectenerg-3144	1145	1	in	in	ADP
fuelectenerg-3144	1145	2	this	this	DET
fuelectenerg-3144	1145	3	case	case	NOUN
fuelectenerg-3144	1145	4	,	,	PUNCT
fuelectenerg-3144	1145	5	stop	stop	VERB
fuelectenerg-3144	1145	6	immediately	immediately	ADV
fuelectenerg-3144	1145	7	as	as	SCONJ
fuelectenerg-3144	1145	8	we	we	PRON
fuelectenerg-3144	1145	9	are	be	AUX
fuelectenerg-3144	1145	10	finished	finish	VERB
fuelectenerg-3144	1145	11	.	.	PUNCT
fuelectenerg-3144	1146	1	2	2	X
fuelectenerg-3144	1146	2	.	.	X
fuelectenerg-3144	1146	3	otherwise	otherwise	ADV
fuelectenerg-3144	1146	4	,	,	PUNCT
fuelectenerg-3144	1146	5	recursively	recursively	ADV
fuelectenerg-3144	1146	6	use	use	VERB
fuelectenerg-3144	1146	7	this	this	DET
fuelectenerg-3144	1146	8	procedure	procedure	NOUN
fuelectenerg-3144	1146	9	to	to	PART
fuelectenerg-3144	1146	10	generate	generate	VERB
fuelectenerg-3144	1146	11	a	a	DET
fuelectenerg-3144	1146	12	logical	logical	ADJ
fuelectenerg-3144	1146	13	expression	expression	NOUN
fuelectenerg-3144	1146	14	that	that	PRON
fuelectenerg-3144	1146	15	determines	determine	VERB
fuelectenerg-3144	1146	16	whether	whether	SCONJ
fuelectenerg-3144	1146	17	(	(	PUNCT
fuelectenerg-3144	1146	18	an−1	an−1	ADJ
fuelectenerg-3144	1146	19	.	.	PUNCT
fuelectenerg-3144	1146	20	.	.	PUNCT
fuelectenerg-3144	1146	21	.	.	PUNCT
fuelectenerg-3144	1147	1	a0)2	a0)2	PRON
fuelectenerg-3144	1147	2	≤	≤	NOUN
fuelectenerg-3144	1147	3	(	(	PUNCT
fuelectenerg-3144	1147	4	rn−1	rn−1	PROPN
fuelectenerg-3144	1147	5	.	.	PUNCT
fuelectenerg-3144	1147	6	.	.	PUNCT
fuelectenerg-3144	1147	7	.	.	PUNCT
fuelectenerg-3144	1148	1	r0)2	r0)2	X
fuelectenerg-3144	1148	2	.	.	PUNCT
fuelectenerg-3144	1149	1	3	3	X
fuelectenerg-3144	1149	2	.	.	X
fuelectenerg-3144	1150	1	if	if	SCONJ
fuelectenerg-3144	1150	2	rn	rn	PROPN
fuelectenerg-3144	1150	3	=	=	SYM
fuelectenerg-3144	1150	4	1	1	NUM
fuelectenerg-3144	1150	5	,	,	PUNCT
fuelectenerg-3144	1150	6	take	take	VERB
fuelectenerg-3144	1150	7	the	the	DET
fuelectenerg-3144	1150	8	logical	logical	ADJ
fuelectenerg-3144	1150	9	or	or	CCONJ
fuelectenerg-3144	1150	10	of	of	ADP
fuelectenerg-3144	1150	11	¬an	¬an	PROPN
fuelectenerg-3144	1150	12	with	with	ADP
fuelectenerg-3144	1150	13	the	the	DET
fuelectenerg-3144	1150	14	expression	expression	NOUN
fuelectenerg-3144	1150	15	generated	generate	VERB
fuelectenerg-3144	1150	16	in	in	ADP
fuelectenerg-3144	1150	17	step	step	NOUN
fuelectenerg-3144	1150	18	2	2	NUM
fuelectenerg-3144	1150	19	.	.	PUNCT
fuelectenerg-3144	1151	1	otherwise	otherwise	ADV
fuelectenerg-3144	1151	2	,	,	PUNCT
fuelectenerg-3144	1151	3	if	if	SCONJ
fuelectenerg-3144	1151	4	rn	rn	PROPN
fuelectenerg-3144	1151	5	=	=	SYM
fuelectenerg-3144	1151	6	0	0	NUM
fuelectenerg-3144	1151	7	,	,	PUNCT
fuelectenerg-3144	1151	8	take	take	VERB
fuelectenerg-3144	1151	9	the	the	DET
fuelectenerg-3144	1151	10	logical	logical	ADJ
fuelectenerg-3144	1151	11	and	and	CCONJ
fuelectenerg-3144	1151	12	.	.	PUNCT
fuelectenerg-3144	1152	1	return	return	VERB
fuelectenerg-3144	1152	2	the	the	DET
fuelectenerg-3144	1152	3	resulting	result	VERB
fuelectenerg-3144	1152	4	expression	expression	NOUN
fuelectenerg-3144	1152	5	as	as	ADP
fuelectenerg-3144	1152	6	the	the	DET
fuelectenerg-3144	1152	7	output	output	NOUN
fuelectenerg-3144	1152	8	of	of	ADP
fuelectenerg-3144	1152	9	this	this	DET
fuelectenerg-3144	1152	10	procedure	procedure	NOUN
fuelectenerg-3144	1152	11	.	.	PUNCT
fuelectenerg-3144	1153	1	4	4	X
fuelectenerg-3144	1153	2	.	.	X
fuelectenerg-3144	1153	3	at	at	ADP
fuelectenerg-3144	1153	4	the	the	DET
fuelectenerg-3144	1153	5	very	very	ADJ
fuelectenerg-3144	1153	6	end	end	NOUN
fuelectenerg-3144	1153	7	,	,	PUNCT
fuelectenerg-3144	1153	8	when	when	SCONJ
fuelectenerg-3144	1153	9	all	all	DET
fuelectenerg-3144	1153	10	recursive	recursive	ADJ
fuelectenerg-3144	1153	11	steps	step	NOUN
fuelectenerg-3144	1153	12	are	be	AUX
fuelectenerg-3144	1153	13	complete	complete	ADJ
fuelectenerg-3144	1153	14	,	,	PUNCT
fuelectenerg-3144	1153	15	it	it	PRON
fuelectenerg-3144	1153	16	may	may	AUX
fuelectenerg-3144	1153	17	be	be	AUX
fuelectenerg-3144	1153	18	possible	possible	ADJ
fuelectenerg-3144	1153	19	to	to	PART
fuelectenerg-3144	1153	20	simplify	simplify	VERB
fuelectenerg-3144	1153	21	the	the	DET
fuelectenerg-3144	1153	22	expression	expression	NOUN
fuelectenerg-3144	1153	23	using	use	VERB
fuelectenerg-3144	1153	24	the	the	DET
fuelectenerg-3144	1153	25	identities	identity	NOUN
fuelectenerg-3144	1153	26	x∨	x∨	PROPN
fuelectenerg-3144	1153	27	1	1	NUM
fuelectenerg-3144	1153	28	=	=	SYM
fuelectenerg-3144	1153	29	1	1	NUM
fuelectenerg-3144	1153	30	and	and	CCONJ
fuelectenerg-3144	1153	31	x	x	ADJ
fuelectenerg-3144	1153	32	∧	∧	NOUN
fuelectenerg-3144	1153	33	1	1	NUM
fuelectenerg-3144	1153	34	=	=	SYM
fuelectenerg-3144	1153	35	x.	x.	NOUN
fuelectenerg-3144	1153	36	for	for	ADP
fuelectenerg-3144	1153	37	example	example	NOUN
fuelectenerg-3144	1153	38	,	,	PUNCT
fuelectenerg-3144	1153	39	suppose	suppose	VERB
fuelectenerg-3144	1153	40	we	we	PRON
fuelectenerg-3144	1153	41	wish	wish	VERB
fuelectenerg-3144	1153	42	to	to	PART
fuelectenerg-3144	1153	43	generate	generate	VERB
fuelectenerg-3144	1153	44	a	a	DET
fuelectenerg-3144	1153	45	logical	logical	ADJ
fuelectenerg-3144	1153	46	expression	expression	NOUN
fuelectenerg-3144	1153	47	that	that	PRON
fuelectenerg-3144	1153	48	determines	determine	VERB
fuelectenerg-3144	1153	49	whether	whether	SCONJ
fuelectenerg-3144	1153	50	a2a1a0	a2a1a0	NOUN
fuelectenerg-3144	1153	51	is	be	AUX
fuelectenerg-3144	1153	52	less	less	ADJ
fuelectenerg-3144	1153	53	than	than	ADP
fuelectenerg-3144	1153	54	or	or	CCONJ
fuelectenerg-3144	1153	55	equal	equal	ADJ
fuelectenerg-3144	1153	56	to	to	ADP
fuelectenerg-3144	1153	57	5	5	NUM
fuelectenerg-3144	1153	58	,	,	PUNCT
fuelectenerg-3144	1153	59	whose	whose	DET
fuelectenerg-3144	1153	60	base	base	NOUN
fuelectenerg-3144	1153	61	-	-	PUNCT
fuelectenerg-3144	1153	62	two	two	NUM
fuelectenerg-3144	1153	63	34	34	NUM
fuelectenerg-3144	1153	64	a0	a0	NOUN
fuelectenerg-3144	1153	65	a1	a1	PROPN
fuelectenerg-3144	1153	66	a2	a2	PROPN
fuelectenerg-3144	1153	67	a3	a3	PROPN
fuelectenerg-3144	1153	68	a4	a4	PROPN
fuelectenerg-3144	1153	69	a5	a5	PROPN
fuelectenerg-3144	1153	70	|1	|1	PRON
fuelectenerg-3144	1153	71	〉	〉	PROPN
fuelectenerg-3144	1153	72	|0	|0	NUM
fuelectenerg-3144	1153	73	〉	〉	PROPN
fuelectenerg-3144	1153	74	|1	|1	NUM
fuelectenerg-3144	1153	75	〉	〉	NOUN
fuelectenerg-3144	1153	76	y	y	PROPN
fuelectenerg-3144	1153	77	figure	figure	NOUN
fuelectenerg-3144	1153	78	20	20	NUM
fuelectenerg-3144	1153	79	:	:	PUNCT
fuelectenerg-3144	1153	80	quantum	quantum	NOUN
fuelectenerg-3144	1153	81	circuit	circuit	NOUN
fuelectenerg-3144	1153	82	implementing	implement	VERB
fuelectenerg-3144	1153	83	the	the	DET
fuelectenerg-3144	1153	84	expression	expression	NOUN
fuelectenerg-3144	1153	85	y	y	NOUN
fuelectenerg-3144	1153	86	=	=	PUNCT
fuelectenerg-3144	1153	87	¬a5∨(¬a4∧¬a3∧	¬a5∨(¬a4∧¬a3∧	ADJ
fuelectenerg-3144	1153	88	¬a2	¬a2	NOUN
fuelectenerg-3144	1153	89	∧	∧	PROPN
fuelectenerg-3144	1153	90	(	(	PUNCT
fuelectenerg-3144	1153	91	¬a1	¬a1	NOUN
fuelectenerg-3144	1153	92	∨	∨	NUM
fuelectenerg-3144	1153	93	¬a0	¬a0	NOUN
fuelectenerg-3144	1153	94	)	)	PUNCT
fuelectenerg-3144	1153	95	)	)	PUNCT
fuelectenerg-3144	1153	96	.	.	PUNCT
fuelectenerg-3144	1154	1	representation	representation	NOUN
fuelectenerg-3144	1154	2	is	be	AUX
fuelectenerg-3144	1154	3	101	101	NUM
fuelectenerg-3144	1154	4	.	.	PUNCT
fuelectenerg-3144	1155	1	then	then	ADV
fuelectenerg-3144	1155	2	,	,	PUNCT
fuelectenerg-3144	1155	3	since	since	SCONJ
fuelectenerg-3144	1155	4	r2	r2	PROPN
fuelectenerg-3144	1155	5	=	=	SYM
fuelectenerg-3144	1155	6	1	1	NUM
fuelectenerg-3144	1155	7	,	,	PUNCT
fuelectenerg-3144	1155	8	we	we	PRON
fuelectenerg-3144	1155	9	take	take	VERB
fuelectenerg-3144	1155	10	the	the	DET
fuelectenerg-3144	1155	11	logical	logical	ADJ
fuelectenerg-3144	1155	12	or	or	CCONJ
fuelectenerg-3144	1155	13	of	of	ADP
fuelectenerg-3144	1155	14	¬a2	¬a2	NOUN
fuelectenerg-3144	1155	15	with	with	ADP
fuelectenerg-3144	1155	16	an	an	DET
fuelectenerg-3144	1155	17	expression	expression	NOUN
fuelectenerg-3144	1155	18	recursively	recursively	ADV
fuelectenerg-3144	1155	19	generated	generate	VERB
fuelectenerg-3144	1155	20	to	to	PART
fuelectenerg-3144	1155	21	determine	determine	VERB
fuelectenerg-3144	1155	22	whether	whether	SCONJ
fuelectenerg-3144	1155	23	a1a0	a1a0	NOUN
fuelectenerg-3144	1155	24	is	be	AUX
fuelectenerg-3144	1155	25	less	less	ADJ
fuelectenerg-3144	1155	26	than	than	ADP
fuelectenerg-3144	1155	27	or	or	CCONJ
fuelectenerg-3144	1155	28	equal	equal	ADJ
fuelectenerg-3144	1155	29	to	to	ADP
fuelectenerg-3144	1155	30	(	(	PUNCT
fuelectenerg-3144	1155	31	01)2	01)2	NUM
fuelectenerg-3144	1155	32	=	=	SYM
fuelectenerg-3144	1155	33	1	1	NUM
fuelectenerg-3144	1155	34	.	.	PUNCT
fuelectenerg-3144	1156	1	since	since	SCONJ
fuelectenerg-3144	1156	2	r1	r1	PROPN
fuelectenerg-3144	1156	3	=	=	SYM
fuelectenerg-3144	1156	4	0	0	NUM
fuelectenerg-3144	1156	5	,	,	PUNCT
fuelectenerg-3144	1156	6	we	we	PRON
fuelectenerg-3144	1156	7	take	take	VERB
fuelectenerg-3144	1156	8	the	the	DET
fuelectenerg-3144	1156	9	logical	logical	ADJ
fuelectenerg-3144	1156	10	and	and	CCONJ
fuelectenerg-3144	1156	11	of	of	ADP
fuelectenerg-3144	1156	12	¬a1	¬a1	NOUN
fuelectenerg-3144	1156	13	with	with	ADP
fuelectenerg-3144	1156	14	the	the	DET
fuelectenerg-3144	1156	15	expression	expression	NOUN
fuelectenerg-3144	1156	16	that	that	PRON
fuelectenerg-3144	1156	17	determines	determine	VERB
fuelectenerg-3144	1156	18	whether	whether	SCONJ
fuelectenerg-3144	1156	19	a0	a0	NOUN
fuelectenerg-3144	1156	20	is	be	AUX
fuelectenerg-3144	1156	21	less	less	ADJ
fuelectenerg-3144	1156	22	than	than	ADP
fuelectenerg-3144	1156	23	1	1	NUM
fuelectenerg-3144	1156	24	.	.	PUNCT
fuelectenerg-3144	1157	1	this	this	PRON
fuelectenerg-3144	1157	2	is	be	AUX
fuelectenerg-3144	1157	3	the	the	DET
fuelectenerg-3144	1157	4	base	base	NOUN
fuelectenerg-3144	1157	5	case	case	NOUN
fuelectenerg-3144	1157	6	for	for	ADP
fuelectenerg-3144	1157	7	which	which	PRON
fuelectenerg-3144	1157	8	the	the	DET
fuelectenerg-3144	1157	9	procedure	procedure	NOUN
fuelectenerg-3144	1157	10	above	above	ADP
fuelectenerg-3144	1157	11	returns	return	VERB
fuelectenerg-3144	1157	12	a	a	DET
fuelectenerg-3144	1157	13	constant	constant	ADJ
fuelectenerg-3144	1157	14	1	1	NUM
fuelectenerg-3144	1157	15	.	.	PUNCT
fuelectenerg-3144	1158	1	therefore	therefore	ADV
fuelectenerg-3144	1158	2	,	,	PUNCT
fuelectenerg-3144	1158	3	the	the	DET
fuelectenerg-3144	1158	4	complete	complete	ADJ
fuelectenerg-3144	1158	5	generated	generate	VERB
fuelectenerg-3144	1158	6	expression	expression	NOUN
fuelectenerg-3144	1158	7	is	be	AUX
fuelectenerg-3144	1158	8	¬a2	¬a2	NOUN
fuelectenerg-3144	1158	9	∨	∨	NOUN
fuelectenerg-3144	1158	10	(	(	PUNCT
fuelectenerg-3144	1158	11	¬a1	¬a1	VERB
fuelectenerg-3144	1158	12	∧	∧	PROPN
fuelectenerg-3144	1158	13	1	1	NUM
fuelectenerg-3144	1158	14	)	)	PUNCT
fuelectenerg-3144	1158	15	,	,	PUNCT
fuelectenerg-3144	1158	16	which	which	PRON
fuelectenerg-3144	1158	17	simplifies	simplifie	NOUN
fuelectenerg-3144	1158	18	to	to	ADP
fuelectenerg-3144	1158	19	¬a2	¬a2	PROPN
fuelectenerg-3144	1158	20	∨	∨	NUM
fuelectenerg-3144	1158	21	¬a1	¬a1	NOUN
fuelectenerg-3144	1158	22	.	.	PUNCT
fuelectenerg-3144	1159	1	once	once	ADV
fuelectenerg-3144	1159	2	a	a	DET
fuelectenerg-3144	1159	3	logical	logical	ADJ
fuelectenerg-3144	1159	4	expression	expression	NOUN
fuelectenerg-3144	1159	5	is	be	AUX
fuelectenerg-3144	1159	6	obtained	obtain	VERB
fuelectenerg-3144	1159	7	,	,	PUNCT
fuelectenerg-3144	1159	8	constructing	construct	VERB
fuelectenerg-3144	1159	9	a	a	DET
fuelectenerg-3144	1159	10	quantum	quantum	ADJ
fuelectenerg-3144	1159	11	threshold	threshold	NOUN
fuelectenerg-3144	1159	12	circuit	circuit	NOUN
fuelectenerg-3144	1159	13	is	be	AUX
fuelectenerg-3144	1159	14	simply	simply	ADV
fuelectenerg-3144	1159	15	a	a	DET
fuelectenerg-3144	1159	16	matter	matter	NOUN
fuelectenerg-3144	1159	17	of	of	ADP
fuelectenerg-3144	1159	18	implementing	implement	VERB
fuelectenerg-3144	1159	19	that	that	DET
fuelectenerg-3144	1159	20	logical	logical	ADJ
fuelectenerg-3144	1159	21	expression	expression	NOUN
fuelectenerg-3144	1159	22	with	with	ADP
fuelectenerg-3144	1159	23	quantum	quantum	ADJ
fuelectenerg-3144	1159	24	gates	gate	NOUN
fuelectenerg-3144	1159	25	.	.	PUNCT
fuelectenerg-3144	1160	1	this	this	PRON
fuelectenerg-3144	1160	2	can	can	AUX
fuelectenerg-3144	1160	3	be	be	AUX
fuelectenerg-3144	1160	4	achieved	achieve	VERB
fuelectenerg-3144	1160	5	using	use	VERB
fuelectenerg-3144	1160	6	a	a	DET
fuelectenerg-3144	1160	7	cascade	cascade	NOUN
fuelectenerg-3144	1160	8	of	of	ADP
fuelectenerg-3144	1160	9	toffoli	toffoli	PROPN
fuelectenerg-3144	1160	10	gates	gate	NOUN
fuelectenerg-3144	1160	11	as	as	SCONJ
fuelectenerg-3144	1160	12	shown	show	VERB
fuelectenerg-3144	1160	13	in	in	ADP
fuelectenerg-3144	1160	14	figure	figure	NOUN
fuelectenerg-3144	1160	15	20	20	NUM
fuelectenerg-3144	1160	16	,	,	PUNCT
fuelectenerg-3144	1160	17	where	where	SCONJ
fuelectenerg-3144	1160	18	consecutive	consecutive	ADJ
fuelectenerg-3144	1160	19	logical	logical	ADJ
fuelectenerg-3144	1160	20	operations	operation	NOUN
fuelectenerg-3144	1160	21	of	of	ADP
fuelectenerg-3144	1160	22	the	the	DET
fuelectenerg-3144	1160	23	same	same	ADJ
fuelectenerg-3144	1160	24	type	type	NOUN
fuelectenerg-3144	1160	25	(	(	PUNCT
fuelectenerg-3144	1160	26	either	either	CCONJ
fuelectenerg-3144	1160	27	and	and	CCONJ
fuelectenerg-3144	1160	28	or	or	CCONJ
fuelectenerg-3144	1160	29	or	or	CCONJ
fuelectenerg-3144	1160	30	)	)	PUNCT
fuelectenerg-3144	1160	31	can	can	AUX
fuelectenerg-3144	1160	32	be	be	AUX
fuelectenerg-3144	1160	33	combined	combine	VERB
fuelectenerg-3144	1160	34	into	into	ADP
fuelectenerg-3144	1160	35	a	a	DET
fuelectenerg-3144	1160	36	single	single	ADJ
fuelectenerg-3144	1160	37	toffoli	toffoli	NOUN
fuelectenerg-3144	1160	38	gate	gate	NOUN
fuelectenerg-3144	1160	39	to	to	PART
fuelectenerg-3144	1160	40	reduce	reduce	VERB
fuelectenerg-3144	1160	41	the	the	DET
fuelectenerg-3144	1160	42	number	number	NOUN
fuelectenerg-3144	1160	43	of	of	ADP
fuelectenerg-3144	1160	44	ancilla	ancilla	PROPN
fuelectenerg-3144	1160	45	qubits	qubit	NOUN
fuelectenerg-3144	1160	46	required	require	VERB
fuelectenerg-3144	1160	47	.	.	PUNCT
fuelectenerg-3144	1161	1	we	we	PRON
fuelectenerg-3144	1161	2	observe	observe	VERB
fuelectenerg-3144	1161	3	that	that	SCONJ
fuelectenerg-3144	1161	4	the	the	DET
fuelectenerg-3144	1161	5	threshold	threshold	NOUN
fuelectenerg-3144	1161	6	is	be	AUX
fuelectenerg-3144	1161	7	“	"	PUNCT
fuelectenerg-3144	1161	8	hard	hard	ADV
fuelectenerg-3144	1161	9	-	-	PUNCT
fuelectenerg-3144	1161	10	coded	code	VERB
fuelectenerg-3144	1161	11	”	"	PUNCT
fuelectenerg-3144	1161	12	into	into	ADP
fuelectenerg-3144	1161	13	the	the	DET
fuelectenerg-3144	1161	14	circuit	circuit	NOUN
fuelectenerg-3144	1161	15	(	(	PUNCT
fuelectenerg-3144	1161	16	i.e.	i.e.	X
fuelectenerg-3144	1161	17	,	,	PUNCT
fuelectenerg-3144	1161	18	it	it	PRON
fuelectenerg-3144	1161	19	is	be	AUX
fuelectenerg-3144	1161	20	built	build	VERB
fuelectenerg-3144	1161	21	into	into	ADP
fuelectenerg-3144	1161	22	the	the	DET
fuelectenerg-3144	1161	23	circuit	circuit	NOUN
fuelectenerg-3144	1161	24	structure	structure	NOUN
fuelectenerg-3144	1161	25	itself	itself	PRON
fuelectenerg-3144	1161	26	and	and	CCONJ
fuelectenerg-3144	1161	27	can	can	AUX
fuelectenerg-3144	1161	28	only	only	ADV
fuelectenerg-3144	1161	29	be	be	AUX
fuelectenerg-3144	1161	30	changed	change	VERB
fuelectenerg-3144	1161	31	by	by	ADP
fuelectenerg-3144	1161	32	changing	change	VERB
fuelectenerg-3144	1161	33	the	the	DET
fuelectenerg-3144	1161	34	circuit	circuit	NOUN
fuelectenerg-3144	1161	35	)	)	PUNCT
fuelectenerg-3144	1161	36	and	and	CCONJ
fuelectenerg-3144	1161	37	therefore	therefore	ADV
fuelectenerg-3144	1161	38	,	,	PUNCT
fuelectenerg-3144	1161	39	generating	generate	VERB
fuelectenerg-3144	1161	40	a	a	DET
fuelectenerg-3144	1161	41	quantum	quantum	ADJ
fuelectenerg-3144	1161	42	oracle	oracle	NOUN
fuelectenerg-3144	1161	43	for	for	ADP
fuelectenerg-3144	1161	44	a	a	DET
fuelectenerg-3144	1161	45	different	different	ADJ
fuelectenerg-3144	1161	46	threshold	threshold	NOUN
fuelectenerg-3144	1161	47	involves	involve	VERB
fuelectenerg-3144	1161	48	generating	generate	VERB
fuelectenerg-3144	1161	49	a	a	DET
fuelectenerg-3144	1161	50	new	new	ADJ
fuelectenerg-3144	1161	51	threshold	threshold	NOUN
fuelectenerg-3144	1161	52	circuit	circuit	NOUN
fuelectenerg-3144	1161	53	,	,	PUNCT
fuelectenerg-3144	1161	54	as	as	SCONJ
fuelectenerg-3144	1161	55	discussed	discuss	VERB
fuelectenerg-3144	1161	56	in	in	ADP
fuelectenerg-3144	1161	57	section	section	NOUN
fuelectenerg-3144	1161	58	3.2	3.2	NUM
fuelectenerg-3144	1161	59	.	.	PUNCT
fuelectenerg-3144	1161	60	5.5	5.5	NUM
fuelectenerg-3144	1161	61	quantum	quantum	NOUN
fuelectenerg-3144	1161	62	circuit	circuit	NOUN
fuelectenerg-3144	1161	63	to	to	PART
fuelectenerg-3144	1161	64	enforce	enforce	VERB
fuelectenerg-3144	1161	65	bijectivity	bijectivity	NOUN
fuelectenerg-3144	1161	66	of	of	ADP
fuelectenerg-3144	1161	67	encodings	encoding	NOUN
fuelectenerg-3144	1161	68	in	in	ADP
fuelectenerg-3144	1161	69	section	section	NOUN
fuelectenerg-3144	1161	70	4.2	4.2	NUM
fuelectenerg-3144	1161	71	,	,	PUNCT
fuelectenerg-3144	1161	72	we	we	PRON
fuelectenerg-3144	1161	73	saw	see	VERB
fuelectenerg-3144	1161	74	that	that	SCONJ
fuelectenerg-3144	1161	75	it	it	PRON
fuelectenerg-3144	1161	76	is	be	AUX
fuelectenerg-3144	1161	77	necessary	necessary	ADJ
fuelectenerg-3144	1161	78	for	for	SCONJ
fuelectenerg-3144	1161	79	all	all	DET
fuelectenerg-3144	1161	80	encodings	encoding	NOUN
fuelectenerg-3144	1161	81	to	to	PART
fuelectenerg-3144	1161	82	be	be	AUX
fuelectenerg-3144	1161	83	bijective	bijective	ADJ
fuelectenerg-3144	1161	84	,	,	PUNCT
fuelectenerg-3144	1161	85	which	which	PRON
fuelectenerg-3144	1161	86	implies	imply	VERB
fuelectenerg-3144	1161	87	that	that	SCONJ
fuelectenerg-3144	1161	88	no	no	DET
fuelectenerg-3144	1161	89	two	two	NUM
fuelectenerg-3144	1161	90	states	state	NOUN
fuelectenerg-3144	1161	91	or	or	CCONJ
fuelectenerg-3144	1161	92	inputs	input	NOUN
fuelectenerg-3144	1161	93	of	of	ADP
fuelectenerg-3144	1161	94	an	an	DET
fuelectenerg-3144	1161	95	fsm	fsm	PROPN
fuelectenerg-3144	1161	96	may	may	AUX
fuelectenerg-3144	1161	97	be	be	AUX
fuelectenerg-3144	1161	98	encoded	encode	VERB
fuelectenerg-3144	1161	99	by	by	ADP
fuelectenerg-3144	1161	100	the	the	DET
fuelectenerg-3144	1161	101	same	same	ADJ
fuelectenerg-3144	1161	102	value	value	NOUN
fuelectenerg-3144	1161	103	.	.	PUNCT
fuelectenerg-3144	1162	1	therefore	therefore	ADV
fuelectenerg-3144	1162	2	,	,	PUNCT
fuelectenerg-3144	1162	3	the	the	DET
fuelectenerg-3144	1162	4	quantum	quantum	ADJ
fuelectenerg-3144	1162	5	oracle	oracle	NOUN
fuelectenerg-3144	1162	6	must	must	AUX
fuelectenerg-3144	1162	7	include	include	VERB
fuelectenerg-3144	1162	8	a	a	DET
fuelectenerg-3144	1162	9	circuit	circuit	NOUN
fuelectenerg-3144	1162	10	to	to	PART
fuelectenerg-3144	1162	11	check	check	VERB
fuelectenerg-3144	1162	12	for	for	ADP
fuelectenerg-3144	1162	13	and	and	CCONJ
fuelectenerg-3144	1162	14	rule	rule	VERB
fuelectenerg-3144	1162	15	out	out	ADP
fuelectenerg-3144	1162	16	encodings	encoding	NOUN
fuelectenerg-3144	1162	17	where	where	SCONJ
fuelectenerg-3144	1162	18	the	the	DET
fuelectenerg-3144	1162	19	same	same	ADJ
fuelectenerg-3144	1162	20	encoded	encode	VERB
fuelectenerg-3144	1162	21	value	value	NOUN
fuelectenerg-3144	1162	22	is	be	AUX
fuelectenerg-3144	1162	23	used	use	VERB
fuelectenerg-3144	1162	24	more	more	ADJ
fuelectenerg-3144	1162	25	than	than	ADP
fuelectenerg-3144	1162	26	once	once	ADV
fuelectenerg-3144	1162	27	.	.	PUNCT
fuelectenerg-3144	1163	1	this	this	PRON
fuelectenerg-3144	1163	2	can	can	AUX
fuelectenerg-3144	1163	3	be	be	AUX
fuelectenerg-3144	1163	4	achieved	achieve	VERB
fuelectenerg-3144	1163	5	by	by	ADP
fuelectenerg-3144	1163	6	comparing	compare	VERB
fuelectenerg-3144	1163	7	the	the	DET
fuelectenerg-3144	1163	8	encoded	encode	VERB
fuelectenerg-3144	1163	9	values	value	NOUN
fuelectenerg-3144	1163	10	for	for	ADP
fuelectenerg-3144	1163	11	every	every	DET
fuelectenerg-3144	1163	12	possible	possible	ADJ
fuelectenerg-3144	1163	13	pair	pair	NOUN
fuelectenerg-3144	1163	14	of	of	ADP
fuelectenerg-3144	1163	15	states	state	NOUN
fuelectenerg-3144	1163	16	/	/	SYM
fuelectenerg-3144	1163	17	inputs	input	NOUN
fuelectenerg-3144	1163	18	and	and	CCONJ
fuelectenerg-3144	1163	19	verifying	verifying	NOUN
fuelectenerg-3144	1163	20	that	that	SCONJ
fuelectenerg-3144	1163	21	the	the	DET
fuelectenerg-3144	1163	22	encoded	encode	VERB
fuelectenerg-3144	1163	23	values	value	NOUN
fuelectenerg-3144	1163	24	are	be	AUX
fuelectenerg-3144	1163	25	different	different	ADJ
fuelectenerg-3144	1163	26	for	for	ADP
fuelectenerg-3144	1163	27	every	every	DET
fuelectenerg-3144	1163	28	such	such	ADJ
fuelectenerg-3144	1163	29	pair	pair	NOUN
fuelectenerg-3144	1163	30	.	.	PUNCT
fuelectenerg-3144	1164	1	we	we	PRON
fuelectenerg-3144	1164	2	therefore	therefore	ADV
fuelectenerg-3144	1164	3	construct	construct	VERB
fuelectenerg-3144	1164	4	the	the	DET
fuelectenerg-3144	1164	5	circuit	circuit	NOUN
fuelectenerg-3144	1164	6	shown	show	VERB
fuelectenerg-3144	1164	7	in	in	ADP
fuelectenerg-3144	1164	8	figure	figure	NOUN
fuelectenerg-3144	1164	9	21	21	NUM
fuelectenerg-3144	1164	10	.	.	PUNCT
fuelectenerg-3144	1165	1	since	since	SCONJ
fuelectenerg-3144	1165	2	there	there	PRON
fuelectenerg-3144	1165	3	are	be	VERB
fuelectenerg-3144	1165	4	four	four	NUM
fuelectenerg-3144	1165	5	states	state	NOUN
fuelectenerg-3144	1165	6	in	in	ADP
fuelectenerg-3144	1165	7	this	this	DET
fuelectenerg-3144	1165	8	figure	figure	NOUN
fuelectenerg-3144	1165	9	,	,	PUNCT
fuelectenerg-3144	1165	10	six	six	NUM
fuelectenerg-3144	1165	11	pairs	pair	NOUN
fuelectenerg-3144	1165	12	of	of	ADP
fuelectenerg-3144	1165	13	states	state	NOUN
fuelectenerg-3144	1165	14	must	must	AUX
fuelectenerg-3144	1165	15	be	be	AUX
fuelectenerg-3144	1165	16	checked	check	VERB
fuelectenerg-3144	1165	17	,	,	PUNCT
fuelectenerg-3144	1165	18	of	of	ADP
fuelectenerg-3144	1165	19	which	which	PRON
fuelectenerg-3144	1165	20	three	three	NUM
fuelectenerg-3144	1165	21	are	be	AUX
fuelectenerg-3144	1165	22	shown	show	VERB
fuelectenerg-3144	1165	23	.	.	PUNCT
fuelectenerg-3144	1166	1	similarly	similarly	ADV
fuelectenerg-3144	1166	2	,	,	PUNCT
fuelectenerg-3144	1166	3	checks	check	NOUN
fuelectenerg-3144	1166	4	for	for	ADP
fuelectenerg-3144	1166	5	three	three	NUM
fuelectenerg-3144	1166	6	out	out	ADP
fuelectenerg-3144	1166	7	of	of	ADP
fuelectenerg-3144	1166	8	the	the	DET
fuelectenerg-3144	1166	9	six	six	NUM
fuelectenerg-3144	1166	10	pairs	pair	NOUN
fuelectenerg-3144	1166	11	of	of	ADP
fuelectenerg-3144	1166	12	inputs	input	NOUN
fuelectenerg-3144	1166	13	are	be	AUX
fuelectenerg-3144	1166	14	shown	show	VERB
fuelectenerg-3144	1166	15	,	,	PUNCT
fuelectenerg-3144	1166	16	with	with	ADP
fuelectenerg-3144	1166	17	the	the	DET
fuelectenerg-3144	1166	18	understanding	understanding	NOUN
fuelectenerg-3144	1166	19	that	that	PRON
fuelectenerg-3144	1166	20	the	the	DET
fuelectenerg-3144	1166	21	35	35	NUM
fuelectenerg-3144	1166	22	202	202	NUM
fuelectenerg-3144	1166	23	e.	e.	PROPN
fuelectenerg-3144	1166	24	tsai	tsai	PROPN
fuelectenerg-3144	1166	25	,	,	PUNCT
fuelectenerg-3144	1166	26	m.	m.	PROPN
fuelectenerg-3144	1166	27	perkowski	perkowski	PROPN
fuelectenerg-3144	1166	28	a	a	DET
fuelectenerg-3144	1166	29	quantum	quantum	ADJ
fuelectenerg-3144	1166	30	algorithm	algorithm	NOUN
fuelectenerg-3144	1166	31	for	for	ADP
fuelectenerg-3144	1166	32	automata	automata	NOUN
fuelectenerg-3144	1166	33	encoding	encode	VERB
fuelectenerg-3144	1166	34	203	203	NUM
fuelectenerg-3144	1166	35	specifically	specifically	ADV
fuelectenerg-3144	1166	36	,	,	PUNCT
fuelectenerg-3144	1166	37	the	the	DET
fuelectenerg-3144	1166	38	quantum	quantum	ADJ
fuelectenerg-3144	1166	39	counter	counter	NOUN
fuelectenerg-3144	1166	40	in	in	ADP
fuelectenerg-3144	1166	41	figure	figure	NOUN
fuelectenerg-3144	1166	42	19	19	NUM
fuelectenerg-3144	1166	43	is	be	AUX
fuelectenerg-3144	1166	44	able	able	ADJ
fuelectenerg-3144	1166	45	to	to	PART
fuelectenerg-3144	1166	46	count	count	VERB
fuelectenerg-3144	1166	47	using	use	VERB
fuelectenerg-3144	1166	48	only	only	ADV
fuelectenerg-3144	1166	49	one	one	NUM
fuelectenerg-3144	1166	50	control	control	NOUN
fuelectenerg-3144	1166	51	qubit	qubit	NOUN
fuelectenerg-3144	1166	52	,	,	PUNCT
fuelectenerg-3144	1166	53	while	while	SCONJ
fuelectenerg-3144	1166	54	the	the	DET
fuelectenerg-3144	1166	55	one	one	NUM
fuelectenerg-3144	1166	56	in	in	ADP
fuelectenerg-3144	1166	57	figure	figure	NOUN
fuelectenerg-3144	1166	58	18	18	NUM
fuelectenerg-3144	1166	59	counts	count	VERB
fuelectenerg-3144	1166	60	the	the	DET
fuelectenerg-3144	1166	61	number	number	NOUN
fuelectenerg-3144	1166	62	of	of	ADP
fuelectenerg-3144	1166	63	ones	one	NOUN
fuelectenerg-3144	1166	64	present	present	ADJ
fuelectenerg-3144	1166	65	in	in	ADP
fuelectenerg-3144	1166	66	a	a	DET
fuelectenerg-3144	1166	67	whole	whole	ADJ
fuelectenerg-3144	1166	68	collection	collection	NOUN
fuelectenerg-3144	1166	69	of	of	ADP
fuelectenerg-3144	1166	70	control	control	NOUN
fuelectenerg-3144	1166	71	qubits	qubit	NOUN
fuelectenerg-3144	1166	72	.	.	PUNCT
fuelectenerg-3144	1167	1	the	the	DET
fuelectenerg-3144	1167	2	reason	reason	NOUN
fuelectenerg-3144	1167	3	for	for	ADP
fuelectenerg-3144	1167	4	this	this	DET
fuelectenerg-3144	1167	5	difference	difference	NOUN
fuelectenerg-3144	1167	6	is	be	AUX
fuelectenerg-3144	1167	7	that	that	SCONJ
fuelectenerg-3144	1167	8	the	the	DET
fuelectenerg-3144	1167	9	circuit	circuit	NOUN
fuelectenerg-3144	1167	10	in	in	ADP
fuelectenerg-3144	1167	11	figure	figure	NOUN
fuelectenerg-3144	1167	12	19	19	NUM
fuelectenerg-3144	1167	13	counts	count	VERB
fuelectenerg-3144	1167	14	the	the	DET
fuelectenerg-3144	1167	15	number	number	NOUN
fuelectenerg-3144	1167	16	of	of	ADP
fuelectenerg-3144	1167	17	ones	one	NOUN
fuelectenerg-3144	1167	18	not	not	PART
fuelectenerg-3144	1167	19	in	in	ADP
fuelectenerg-3144	1167	20	a	a	DET
fuelectenerg-3144	1167	21	collection	collection	NOUN
fuelectenerg-3144	1167	22	of	of	ADP
fuelectenerg-3144	1167	23	qubits	qubit	NOUN
fuelectenerg-3144	1167	24	,	,	PUNCT
fuelectenerg-3144	1167	25	but	but	CCONJ
fuelectenerg-3144	1167	26	appearing	appear	VERB
fuelectenerg-3144	1167	27	on	on	ADP
fuelectenerg-3144	1167	28	a	a	DET
fuelectenerg-3144	1167	29	single	single	ADJ
fuelectenerg-3144	1167	30	qubit	qubit	NOUN
fuelectenerg-3144	1167	31	at	at	ADP
fuelectenerg-3144	1167	32	different	different	ADJ
fuelectenerg-3144	1167	33	times	time	NOUN
fuelectenerg-3144	1167	34	.	.	PUNCT
fuelectenerg-3144	1168	1	in	in	ADP
fuelectenerg-3144	1168	2	other	other	ADJ
fuelectenerg-3144	1168	3	words	word	NOUN
fuelectenerg-3144	1168	4	,	,	PUNCT
fuelectenerg-3144	1168	5	the	the	DET
fuelectenerg-3144	1168	6	circuit	circuit	NOUN
fuelectenerg-3144	1168	7	places	place	VERB
fuelectenerg-3144	1168	8	the	the	DET
fuelectenerg-3144	1168	9	result	result	NOUN
fuelectenerg-3144	1168	10	of	of	ADP
fuelectenerg-3144	1168	11	a	a	DET
fuelectenerg-3144	1168	12	given	give	VERB
fuelectenerg-3144	1168	13	dependency	dependency	NOUN
fuelectenerg-3144	1168	14	checker	checker	NOUN
fuelectenerg-3144	1168	15	onto	onto	ADP
fuelectenerg-3144	1168	16	the	the	DET
fuelectenerg-3144	1168	17	single	single	ADJ
fuelectenerg-3144	1168	18	counter	counter	PROPN
fuelectenerg-3144	1168	19	control	control	NOUN
fuelectenerg-3144	1168	20	qubit	qubit	NOUN
fuelectenerg-3144	1168	21	and	and	CCONJ
fuelectenerg-3144	1168	22	uses	use	VERB
fuelectenerg-3144	1168	23	it	it	PRON
fuelectenerg-3144	1168	24	to	to	PART
fuelectenerg-3144	1168	25	update	update	VERB
fuelectenerg-3144	1168	26	the	the	DET
fuelectenerg-3144	1168	27	counter	counter	NOUN
fuelectenerg-3144	1168	28	,	,	PUNCT
fuelectenerg-3144	1168	29	but	but	CCONJ
fuelectenerg-3144	1168	30	crucially	crucially	ADV
fuelectenerg-3144	1168	31	,	,	PUNCT
fuelectenerg-3144	1168	32	the	the	DET
fuelectenerg-3144	1168	33	circuit	circuit	NOUN
fuelectenerg-3144	1168	34	then	then	ADV
fuelectenerg-3144	1168	35	applies	apply	VERB
fuelectenerg-3144	1168	36	the	the	DET
fuelectenerg-3144	1168	37	dependency	dependency	NOUN
fuelectenerg-3144	1168	38	checker	checker	NOUN
fuelectenerg-3144	1168	39	again	again	ADV
fuelectenerg-3144	1168	40	to	to	PART
fuelectenerg-3144	1168	41	restore	restore	VERB
fuelectenerg-3144	1168	42	that	that	DET
fuelectenerg-3144	1168	43	control	control	NOUN
fuelectenerg-3144	1168	44	qubit	qubit	NOUN
fuelectenerg-3144	1168	45	to	to	ADP
fuelectenerg-3144	1168	46	its	its	PRON
fuelectenerg-3144	1168	47	original	original	ADJ
fuelectenerg-3144	1168	48	state	state	NOUN
fuelectenerg-3144	1168	49	so	so	SCONJ
fuelectenerg-3144	1168	50	that	that	SCONJ
fuelectenerg-3144	1168	51	the	the	DET
fuelectenerg-3144	1168	52	next	next	ADJ
fuelectenerg-3144	1168	53	dependency	dependency	NOUN
fuelectenerg-3144	1168	54	checker	checker	NOUN
fuelectenerg-3144	1168	55	can	can	AUX
fuelectenerg-3144	1168	56	also	also	ADV
fuelectenerg-3144	1168	57	use	use	VERB
fuelectenerg-3144	1168	58	it	it	PRON
fuelectenerg-3144	1168	59	to	to	PART
fuelectenerg-3144	1168	60	update	update	VERB
fuelectenerg-3144	1168	61	the	the	DET
fuelectenerg-3144	1168	62	counter	counter	NOUN
fuelectenerg-3144	1168	63	as	as	ADV
fuelectenerg-3144	1168	64	well	well	ADV
fuelectenerg-3144	1168	65	.	.	PUNCT
fuelectenerg-3144	1169	1	in	in	ADP
fuelectenerg-3144	1169	2	this	this	DET
fuelectenerg-3144	1169	3	way	way	NOUN
fuelectenerg-3144	1169	4	,	,	PUNCT
fuelectenerg-3144	1169	5	the	the	DET
fuelectenerg-3144	1169	6	circuit	circuit	NOUN
fuelectenerg-3144	1169	7	is	be	AUX
fuelectenerg-3144	1169	8	able	able	ADJ
fuelectenerg-3144	1169	9	to	to	PART
fuelectenerg-3144	1169	10	count	count	VERB
fuelectenerg-3144	1169	11	dependencies	dependency	NOUN
fuelectenerg-3144	1169	12	without	without	ADP
fuelectenerg-3144	1169	13	using	use	VERB
fuelectenerg-3144	1169	14	a	a	DET
fuelectenerg-3144	1169	15	separate	separate	ADJ
fuelectenerg-3144	1169	16	ancilla	ancilla	NOUN
fuelectenerg-3144	1169	17	qubit	qubit	NOUN
fuelectenerg-3144	1169	18	to	to	PART
fuelectenerg-3144	1169	19	store	store	VERB
fuelectenerg-3144	1169	20	the	the	DET
fuelectenerg-3144	1169	21	result	result	NOUN
fuelectenerg-3144	1169	22	of	of	ADP
fuelectenerg-3144	1169	23	each	each	DET
fuelectenerg-3144	1169	24	dependency	dependency	NOUN
fuelectenerg-3144	1169	25	checker	checker	NOUN
fuelectenerg-3144	1169	26	.	.	PUNCT
fuelectenerg-3144	1170	1	as	as	SCONJ
fuelectenerg-3144	1170	2	previously	previously	ADV
fuelectenerg-3144	1170	3	mentioned	mention	VERB
fuelectenerg-3144	1170	4	,	,	PUNCT
fuelectenerg-3144	1170	5	the	the	DET
fuelectenerg-3144	1170	6	maximum	maximum	ADJ
fuelectenerg-3144	1170	7	value	value	NOUN
fuelectenerg-3144	1170	8	that	that	PRON
fuelectenerg-3144	1170	9	a	a	DET
fuelectenerg-3144	1170	10	quantum	quantum	NOUN
fuelectenerg-3144	1170	11	counter	counter	NOUN
fuelectenerg-3144	1170	12	can	can	AUX
fuelectenerg-3144	1170	13	reach	reach	VERB
fuelectenerg-3144	1170	14	before	before	ADP
fuelectenerg-3144	1170	15	wrapping	wrap	VERB
fuelectenerg-3144	1170	16	around	around	ADV
fuelectenerg-3144	1170	17	to	to	ADP
fuelectenerg-3144	1170	18	zero	zero	NUM
fuelectenerg-3144	1170	19	is	be	AUX
fuelectenerg-3144	1170	20	determined	determine	VERB
fuelectenerg-3144	1170	21	by	by	ADP
fuelectenerg-3144	1170	22	the	the	DET
fuelectenerg-3144	1170	23	number	number	NOUN
fuelectenerg-3144	1170	24	of	of	ADP
fuelectenerg-3144	1170	25	qubits	qubit	NOUN
fuelectenerg-3144	1170	26	in	in	ADP
fuelectenerg-3144	1170	27	the	the	DET
fuelectenerg-3144	1170	28	counter	counter	NOUN
fuelectenerg-3144	1170	29	’s	’s	PART
fuelectenerg-3144	1170	30	target	target	NOUN
fuelectenerg-3144	1170	31	register	register	VERB
fuelectenerg-3144	1170	32	.	.	PUNCT
fuelectenerg-3144	1171	1	in	in	ADP
fuelectenerg-3144	1171	2	figure	figure	NOUN
fuelectenerg-3144	1171	3	19	19	NUM
fuelectenerg-3144	1171	4	,	,	PUNCT
fuelectenerg-3144	1171	5	the	the	DET
fuelectenerg-3144	1171	6	size	size	NOUN
fuelectenerg-3144	1171	7	of	of	ADP
fuelectenerg-3144	1171	8	the	the	DET
fuelectenerg-3144	1171	9	quantum	quantum	PROPN
fuelectenerg-3144	1171	10	counter	counter	PROPN
fuelectenerg-3144	1171	11	’s	’s	PART
fuelectenerg-3144	1171	12	target	target	NOUN
fuelectenerg-3144	1171	13	register	register	NOUN
fuelectenerg-3144	1171	14	is	be	AUX
fuelectenerg-3144	1171	15	not	not	PART
fuelectenerg-3144	1171	16	explicitly	explicitly	ADV
fuelectenerg-3144	1171	17	indicated	indicate	VERB
fuelectenerg-3144	1171	18	because	because	SCONJ
fuelectenerg-3144	1171	19	it	it	PRON
fuelectenerg-3144	1171	20	depends	depend	VERB
fuelectenerg-3144	1171	21	on	on	ADP
fuelectenerg-3144	1171	22	the	the	DET
fuelectenerg-3144	1171	23	maximum	maximum	ADJ
fuelectenerg-3144	1171	24	possible	possible	ADJ
fuelectenerg-3144	1171	25	cost	cost	NOUN
fuelectenerg-3144	1171	26	.	.	PUNCT
fuelectenerg-3144	1172	1	the	the	DET
fuelectenerg-3144	1172	2	maximum	maximum	ADJ
fuelectenerg-3144	1172	3	possible	possible	ADJ
fuelectenerg-3144	1172	4	cost	cost	NOUN
fuelectenerg-3144	1172	5	is	be	AUX
fuelectenerg-3144	1172	6	equal	equal	ADJ
fuelectenerg-3144	1172	7	to	to	ADP
fuelectenerg-3144	1172	8	the	the	DET
fuelectenerg-3144	1172	9	total	total	ADJ
fuelectenerg-3144	1172	10	number	number	NOUN
fuelectenerg-3144	1172	11	of	of	ADP
fuelectenerg-3144	1172	12	possible	possible	ADJ
fuelectenerg-3144	1172	13	dependencies	dependency	NOUN
fuelectenerg-3144	1172	14	,	,	PUNCT
fuelectenerg-3144	1172	15	which	which	PRON
fuelectenerg-3144	1172	16	as	as	SCONJ
fuelectenerg-3144	1172	17	we	we	PRON
fuelectenerg-3144	1172	18	previously	previously	ADV
fuelectenerg-3144	1172	19	saw	see	VERB
fuelectenerg-3144	1172	20	is	be	AUX
fuelectenerg-3144	1172	21	n(n	n(n	PROPN
fuelectenerg-3144	1172	22	+	+	NOUN
fuelectenerg-3144	1172	23	m	m	NOUN
fuelectenerg-3144	1172	24	)	)	PUNCT
fuelectenerg-3144	1172	25	where	where	SCONJ
fuelectenerg-3144	1172	26	n	n	NUM
fuelectenerg-3144	1172	27	and	and	CCONJ
fuelectenerg-3144	1172	28	m	m	PROPN
fuelectenerg-3144	1172	29	are	be	AUX
fuelectenerg-3144	1172	30	the	the	DET
fuelectenerg-3144	1172	31	number	number	NOUN
fuelectenerg-3144	1172	32	of	of	ADP
fuelectenerg-3144	1172	33	states	state	NOUN
fuelectenerg-3144	1172	34	and	and	CCONJ
fuelectenerg-3144	1172	35	input	input	NOUN
fuelectenerg-3144	1172	36	values	value	NOUN
fuelectenerg-3144	1172	37	,	,	PUNCT
fuelectenerg-3144	1172	38	respectively	respectively	ADV
fuelectenerg-3144	1172	39	.	.	PUNCT
fuelectenerg-3144	1173	1	therefore	therefore	ADV
fuelectenerg-3144	1173	2	,	,	PUNCT
fuelectenerg-3144	1173	3	the	the	DET
fuelectenerg-3144	1173	4	quantum	quantum	PROPN
fuelectenerg-3144	1173	5	counter	counter	PROPN
fuelectenerg-3144	1173	6	’s	’s	PART
fuelectenerg-3144	1173	7	target	target	NOUN
fuelectenerg-3144	1173	8	register	register	NOUN
fuelectenerg-3144	1173	9	must	must	AUX
fuelectenerg-3144	1173	10	contain	contain	VERB
fuelectenerg-3144	1173	11	at	at	ADP
fuelectenerg-3144	1173	12	least	least	ADJ
fuelectenerg-3144	1173	13	�	�	NOUN
fuelectenerg-3144	1173	14	log2(n(n+m	log2(n(n+m	NOUN
fuelectenerg-3144	1173	15	)	)	PUNCT
fuelectenerg-3144	1173	16	+	+	NUM
fuelectenerg-3144	1173	17	1	1	X
fuelectenerg-3144	1173	18	)	)	PUNCT
fuelectenerg-3144	1173	19	�	�	NOUN
fuelectenerg-3144	1173	20	qubits	qubit	NOUN
fuelectenerg-3144	1173	21	to	to	PART
fuelectenerg-3144	1173	22	guarantee	guarantee	VERB
fuelectenerg-3144	1173	23	that	that	SCONJ
fuelectenerg-3144	1173	24	no	no	DET
fuelectenerg-3144	1173	25	wrap	wrap	NOUN
fuelectenerg-3144	1173	26	-	-	PUNCT
fuelectenerg-3144	1173	27	around	around	ADV
fuelectenerg-3144	1173	28	can	can	AUX
fuelectenerg-3144	1173	29	occur	occur	VERB
fuelectenerg-3144	1173	30	,	,	PUNCT
fuelectenerg-3144	1173	31	which	which	PRON
fuelectenerg-3144	1173	32	would	would	AUX
fuelectenerg-3144	1173	33	cause	cause	VERB
fuelectenerg-3144	1173	34	the	the	DET
fuelectenerg-3144	1173	35	circuit	circuit	NOUN
fuelectenerg-3144	1173	36	to	to	PART
fuelectenerg-3144	1173	37	produce	produce	VERB
fuelectenerg-3144	1173	38	an	an	DET
fuelectenerg-3144	1173	39	incorrect	incorrect	ADJ
fuelectenerg-3144	1173	40	result	result	NOUN
fuelectenerg-3144	1173	41	.	.	PUNCT
fuelectenerg-3144	1174	1	5.4	5.4	NUM
fuelectenerg-3144	1174	2	quantum	quantum	NOUN
fuelectenerg-3144	1174	3	threshold	threshold	NOUN
fuelectenerg-3144	1174	4	circuit	circuit	NOUN
fuelectenerg-3144	1174	5	with	with	ADP
fuelectenerg-3144	1174	6	a	a	DET
fuelectenerg-3144	1174	7	quantum	quantum	ADJ
fuelectenerg-3144	1174	8	circuit	circuit	NOUN
fuelectenerg-3144	1174	9	for	for	ADP
fuelectenerg-3144	1174	10	calculating	calculate	VERB
fuelectenerg-3144	1174	11	the	the	DET
fuelectenerg-3144	1174	12	cost	cost	NOUN
fuelectenerg-3144	1174	13	of	of	ADP
fuelectenerg-3144	1174	14	an	an	DET
fuelectenerg-3144	1174	15	encoding	encoding	NOUN
fuelectenerg-3144	1174	16	,	,	PUNCT
fuelectenerg-3144	1174	17	we	we	PRON
fuelectenerg-3144	1174	18	now	now	ADV
fuelectenerg-3144	1174	19	add	add	VERB
fuelectenerg-3144	1174	20	a	a	DET
fuelectenerg-3144	1174	21	threshold	threshold	NOUN
fuelectenerg-3144	1174	22	circuit	circuit	NOUN
fuelectenerg-3144	1174	23	to	to	PART
fuelectenerg-3144	1174	24	create	create	VERB
fuelectenerg-3144	1174	25	a	a	DET
fuelectenerg-3144	1174	26	quantum	quantum	ADJ
fuelectenerg-3144	1174	27	oracle	oracle	NOUN
fuelectenerg-3144	1174	28	that	that	PRON
fuelectenerg-3144	1174	29	determines	determine	VERB
fuelectenerg-3144	1174	30	whether	whether	SCONJ
fuelectenerg-3144	1174	31	the	the	DET
fuelectenerg-3144	1174	32	cost	cost	NOUN
fuelectenerg-3144	1174	33	of	of	ADP
fuelectenerg-3144	1174	34	the	the	DET
fuelectenerg-3144	1174	35	encoding	encoding	NOUN
fuelectenerg-3144	1174	36	is	be	AUX
fuelectenerg-3144	1174	37	less	less	ADJ
fuelectenerg-3144	1174	38	than	than	ADP
fuelectenerg-3144	1174	39	r	r	NOUN
fuelectenerg-3144	1174	40	,	,	PUNCT
fuelectenerg-3144	1174	41	where	where	SCONJ
fuelectenerg-3144	1174	42	r	r	NOUN
fuelectenerg-3144	1174	43	is	be	AUX
fuelectenerg-3144	1174	44	the	the	DET
fuelectenerg-3144	1174	45	threshold	threshold	NOUN
fuelectenerg-3144	1174	46	for	for	ADP
fuelectenerg-3144	1174	47	which	which	PRON
fuelectenerg-3144	1174	48	the	the	DET
fuelectenerg-3144	1174	49	oracle	oracle	NOUN
fuelectenerg-3144	1174	50	is	be	AUX
fuelectenerg-3144	1174	51	being	be	AUX
fuelectenerg-3144	1174	52	generated	generate	VERB
fuelectenerg-3144	1174	53	.	.	PUNCT
fuelectenerg-3144	1175	1	the	the	DET
fuelectenerg-3144	1175	2	threshold	threshold	NOUN
fuelectenerg-3144	1175	3	circuit	circuit	NOUN
fuelectenerg-3144	1175	4	accepts	accept	VERB
fuelectenerg-3144	1175	5	a	a	DET
fuelectenerg-3144	1175	6	set	set	NOUN
fuelectenerg-3144	1175	7	of	of	ADP
fuelectenerg-3144	1175	8	qubits	qubit	NOUN
fuelectenerg-3144	1175	9	representing	represent	VERB
fuelectenerg-3144	1175	10	a	a	DET
fuelectenerg-3144	1175	11	base	base	NOUN
fuelectenerg-3144	1175	12	-	-	PUNCT
fuelectenerg-3144	1175	13	two	two	NUM
fuelectenerg-3144	1175	14	integer	integer	NOUN
fuelectenerg-3144	1175	15	as	as	ADP
fuelectenerg-3144	1175	16	input	input	NOUN
fuelectenerg-3144	1175	17	and	and	CCONJ
fuelectenerg-3144	1175	18	produces	produce	VERB
fuelectenerg-3144	1175	19	an	an	DET
fuelectenerg-3144	1175	20	output	output	NOUN
fuelectenerg-3144	1175	21	that	that	PRON
fuelectenerg-3144	1175	22	depends	depend	VERB
fuelectenerg-3144	1175	23	on	on	ADP
fuelectenerg-3144	1175	24	whether	whether	SCONJ
fuelectenerg-3144	1175	25	the	the	DET
fuelectenerg-3144	1175	26	input	input	NOUN
fuelectenerg-3144	1175	27	is	be	AUX
fuelectenerg-3144	1175	28	less	less	ADJ
fuelectenerg-3144	1175	29	than	than	ADP
fuelectenerg-3144	1175	30	or	or	CCONJ
fuelectenerg-3144	1175	31	equal	equal	ADJ
fuelectenerg-3144	1175	32	to	to	ADP
fuelectenerg-3144	1175	33	r.	r.	NOUN
fuelectenerg-3144	1175	34	designing	design	VERB
fuelectenerg-3144	1175	35	such	such	ADJ
fuelectenerg-3144	1175	36	threshold	threshold	NOUN
fuelectenerg-3144	1175	37	circuits	circuit	NOUN
fuelectenerg-3144	1175	38	is	be	AUX
fuelectenerg-3144	1175	39	a	a	DET
fuelectenerg-3144	1175	40	well	well	ADV
fuelectenerg-3144	1175	41	-	-	PUNCT
fuelectenerg-3144	1175	42	known	know	VERB
fuelectenerg-3144	1175	43	and	and	CCONJ
fuelectenerg-3144	1175	44	solved	solve	VERB
fuelectenerg-3144	1175	45	problem	problem	NOUN
fuelectenerg-3144	1175	46	in	in	ADP
fuelectenerg-3144	1175	47	classical	classical	ADJ
fuelectenerg-3144	1175	48	digital	digital	ADJ
fuelectenerg-3144	1175	49	logic	logic	NOUN
fuelectenerg-3144	1175	50	.	.	PUNCT
fuelectenerg-3144	1176	1	for	for	ADP
fuelectenerg-3144	1176	2	instance	instance	NOUN
fuelectenerg-3144	1176	3	,	,	PUNCT
fuelectenerg-3144	1176	4	the	the	DET
fuelectenerg-3144	1176	5	following	follow	VERB
fuelectenerg-3144	1176	6	recursive	recursive	ADJ
fuelectenerg-3144	1176	7	procedure	procedure	NOUN
fuelectenerg-3144	1176	8	allows	allow	VERB
fuelectenerg-3144	1176	9	one	one	NUM
fuelectenerg-3144	1176	10	to	to	PART
fuelectenerg-3144	1176	11	generate	generate	VERB
fuelectenerg-3144	1176	12	a	a	DET
fuelectenerg-3144	1176	13	logical	logical	ADJ
fuelectenerg-3144	1176	14	expression	expression	NOUN
fuelectenerg-3144	1176	15	that	that	PRON
fuelectenerg-3144	1176	16	determines	determine	VERB
fuelectenerg-3144	1176	17	whether	whether	SCONJ
fuelectenerg-3144	1176	18	a	a	DET
fuelectenerg-3144	1176	19	given	give	VERB
fuelectenerg-3144	1176	20	base	base	NOUN
fuelectenerg-3144	1176	21	-	-	PUNCT
fuelectenerg-3144	1176	22	two	two	NUM
fuelectenerg-3144	1176	23	integer	integer	NOUN
fuelectenerg-3144	1176	24	(	(	PUNCT
fuelectenerg-3144	1176	25	anan−1	anan−1	PROPN
fuelectenerg-3144	1176	26	.	.	PUNCT
fuelectenerg-3144	1176	27	.	.	PUNCT
fuelectenerg-3144	1176	28	.	.	PUNCT
fuelectenerg-3144	1177	1	a1a0)2	a1a0)2	PROPN
fuelectenerg-3144	1177	2	is	be	AUX
fuelectenerg-3144	1177	3	less	less	ADJ
fuelectenerg-3144	1177	4	than	than	ADP
fuelectenerg-3144	1177	5	or	or	CCONJ
fuelectenerg-3144	1177	6	equal	equal	ADJ
fuelectenerg-3144	1177	7	to	to	ADP
fuelectenerg-3144	1177	8	a	a	DET
fuelectenerg-3144	1177	9	threshold	threshold	NOUN
fuelectenerg-3144	1177	10	(	(	PUNCT
fuelectenerg-3144	1177	11	rnrn−1	rnrn−1	PROPN
fuelectenerg-3144	1177	12	.	.	PUNCT
fuelectenerg-3144	1177	13	.	.	PUNCT
fuelectenerg-3144	1177	14	.	.	PUNCT
fuelectenerg-3144	1178	1	r1r0)2	r1r0)2	NOUN
fuelectenerg-3144	1178	2	:	:	PUNCT
fuelectenerg-3144	1179	1	1	1	X
fuelectenerg-3144	1179	2	.	.	X
fuelectenerg-3144	1179	3	if	if	SCONJ
fuelectenerg-3144	1179	4	the	the	DET
fuelectenerg-3144	1179	5	threshold	threshold	NOUN
fuelectenerg-3144	1179	6	and	and	CCONJ
fuelectenerg-3144	1179	7	value	value	NOUN
fuelectenerg-3144	1179	8	to	to	PART
fuelectenerg-3144	1179	9	be	be	AUX
fuelectenerg-3144	1179	10	compared	compare	VERB
fuelectenerg-3144	1179	11	against	against	ADP
fuelectenerg-3144	1179	12	it	it	PRON
fuelectenerg-3144	1179	13	consist	consist	VERB
fuelectenerg-3144	1179	14	of	of	ADP
fuelectenerg-3144	1179	15	only	only	ADV
fuelectenerg-3144	1179	16	a	a	DET
fuelectenerg-3144	1179	17	single	single	ADJ
fuelectenerg-3144	1179	18	bit	bit	NOUN
fuelectenerg-3144	1179	19	,	,	PUNCT
fuelectenerg-3144	1179	20	the	the	DET
fuelectenerg-3144	1179	21	expression	expression	NOUN
fuelectenerg-3144	1179	22	is	be	AUX
fuelectenerg-3144	1179	23	¬a0	¬a0	ADJ
fuelectenerg-3144	1179	24	if	if	SCONJ
fuelectenerg-3144	1179	25	r0	r0	NOUN
fuelectenerg-3144	1179	26	=	=	SYM
fuelectenerg-3144	1179	27	0	0	PUNCT
fuelectenerg-3144	1179	28	and	and	CCONJ
fuelectenerg-3144	1179	29	a	a	DET
fuelectenerg-3144	1179	30	constant	constant	ADJ
fuelectenerg-3144	1179	31	1	1	NUM
fuelectenerg-3144	1179	32	if	if	SCONJ
fuelectenerg-3144	1179	33	r0	r0	NOUN
fuelectenerg-3144	1179	34	=	=	NOUN
fuelectenerg-3144	1180	1	1	1	X
fuelectenerg-3144	1180	2	.	.	PUNCT
fuelectenerg-3144	1181	1	in	in	ADP
fuelectenerg-3144	1181	2	this	this	DET
fuelectenerg-3144	1181	3	case	case	NOUN
fuelectenerg-3144	1181	4	,	,	PUNCT
fuelectenerg-3144	1181	5	stop	stop	VERB
fuelectenerg-3144	1181	6	immediately	immediately	ADV
fuelectenerg-3144	1181	7	as	as	SCONJ
fuelectenerg-3144	1181	8	we	we	PRON
fuelectenerg-3144	1181	9	are	be	AUX
fuelectenerg-3144	1181	10	finished	finish	VERB
fuelectenerg-3144	1181	11	.	.	PUNCT
fuelectenerg-3144	1182	1	2	2	X
fuelectenerg-3144	1182	2	.	.	X
fuelectenerg-3144	1182	3	otherwise	otherwise	ADV
fuelectenerg-3144	1182	4	,	,	PUNCT
fuelectenerg-3144	1182	5	recursively	recursively	ADV
fuelectenerg-3144	1182	6	use	use	VERB
fuelectenerg-3144	1182	7	this	this	DET
fuelectenerg-3144	1182	8	procedure	procedure	NOUN
fuelectenerg-3144	1182	9	to	to	PART
fuelectenerg-3144	1182	10	generate	generate	VERB
fuelectenerg-3144	1182	11	a	a	DET
fuelectenerg-3144	1182	12	logical	logical	ADJ
fuelectenerg-3144	1182	13	expression	expression	NOUN
fuelectenerg-3144	1182	14	that	that	PRON
fuelectenerg-3144	1182	15	determines	determine	VERB
fuelectenerg-3144	1182	16	whether	whether	SCONJ
fuelectenerg-3144	1182	17	(	(	PUNCT
fuelectenerg-3144	1182	18	an−1	an−1	ADJ
fuelectenerg-3144	1182	19	.	.	PUNCT
fuelectenerg-3144	1182	20	.	.	PUNCT
fuelectenerg-3144	1182	21	.	.	PUNCT
fuelectenerg-3144	1183	1	a0)2	a0)2	PRON
fuelectenerg-3144	1183	2	≤	≤	NOUN
fuelectenerg-3144	1183	3	(	(	PUNCT
fuelectenerg-3144	1183	4	rn−1	rn−1	PROPN
fuelectenerg-3144	1183	5	.	.	PUNCT
fuelectenerg-3144	1183	6	.	.	PUNCT
fuelectenerg-3144	1183	7	.	.	PUNCT
fuelectenerg-3144	1184	1	r0)2	r0)2	X
fuelectenerg-3144	1184	2	.	.	PUNCT
fuelectenerg-3144	1185	1	3	3	X
fuelectenerg-3144	1185	2	.	.	X
fuelectenerg-3144	1186	1	if	if	SCONJ
fuelectenerg-3144	1186	2	rn	rn	PROPN
fuelectenerg-3144	1186	3	=	=	SYM
fuelectenerg-3144	1186	4	1	1	NUM
fuelectenerg-3144	1186	5	,	,	PUNCT
fuelectenerg-3144	1186	6	take	take	VERB
fuelectenerg-3144	1186	7	the	the	DET
fuelectenerg-3144	1186	8	logical	logical	ADJ
fuelectenerg-3144	1186	9	or	or	CCONJ
fuelectenerg-3144	1186	10	of	of	ADP
fuelectenerg-3144	1186	11	¬an	¬an	PROPN
fuelectenerg-3144	1186	12	with	with	ADP
fuelectenerg-3144	1186	13	the	the	DET
fuelectenerg-3144	1186	14	expression	expression	NOUN
fuelectenerg-3144	1186	15	generated	generate	VERB
fuelectenerg-3144	1186	16	in	in	ADP
fuelectenerg-3144	1186	17	step	step	NOUN
fuelectenerg-3144	1186	18	2	2	NUM
fuelectenerg-3144	1186	19	.	.	PUNCT
fuelectenerg-3144	1187	1	otherwise	otherwise	ADV
fuelectenerg-3144	1187	2	,	,	PUNCT
fuelectenerg-3144	1187	3	if	if	SCONJ
fuelectenerg-3144	1187	4	rn	rn	PROPN
fuelectenerg-3144	1187	5	=	=	SYM
fuelectenerg-3144	1187	6	0	0	NUM
fuelectenerg-3144	1187	7	,	,	PUNCT
fuelectenerg-3144	1187	8	take	take	VERB
fuelectenerg-3144	1187	9	the	the	DET
fuelectenerg-3144	1187	10	logical	logical	ADJ
fuelectenerg-3144	1187	11	and	and	CCONJ
fuelectenerg-3144	1187	12	.	.	PUNCT
fuelectenerg-3144	1188	1	return	return	VERB
fuelectenerg-3144	1188	2	the	the	DET
fuelectenerg-3144	1188	3	resulting	result	VERB
fuelectenerg-3144	1188	4	expression	expression	NOUN
fuelectenerg-3144	1188	5	as	as	ADP
fuelectenerg-3144	1188	6	the	the	DET
fuelectenerg-3144	1188	7	output	output	NOUN
fuelectenerg-3144	1188	8	of	of	ADP
fuelectenerg-3144	1188	9	this	this	DET
fuelectenerg-3144	1188	10	procedure	procedure	NOUN
fuelectenerg-3144	1188	11	.	.	PUNCT
fuelectenerg-3144	1189	1	4	4	X
fuelectenerg-3144	1189	2	.	.	X
fuelectenerg-3144	1189	3	at	at	ADP
fuelectenerg-3144	1189	4	the	the	DET
fuelectenerg-3144	1189	5	very	very	ADJ
fuelectenerg-3144	1189	6	end	end	NOUN
fuelectenerg-3144	1189	7	,	,	PUNCT
fuelectenerg-3144	1189	8	when	when	SCONJ
fuelectenerg-3144	1189	9	all	all	DET
fuelectenerg-3144	1189	10	recursive	recursive	ADJ
fuelectenerg-3144	1189	11	steps	step	NOUN
fuelectenerg-3144	1189	12	are	be	AUX
fuelectenerg-3144	1189	13	complete	complete	ADJ
fuelectenerg-3144	1189	14	,	,	PUNCT
fuelectenerg-3144	1189	15	it	it	PRON
fuelectenerg-3144	1189	16	may	may	AUX
fuelectenerg-3144	1189	17	be	be	AUX
fuelectenerg-3144	1189	18	possible	possible	ADJ
fuelectenerg-3144	1189	19	to	to	PART
fuelectenerg-3144	1189	20	simplify	simplify	VERB
fuelectenerg-3144	1189	21	the	the	DET
fuelectenerg-3144	1189	22	expression	expression	NOUN
fuelectenerg-3144	1189	23	using	use	VERB
fuelectenerg-3144	1189	24	the	the	DET
fuelectenerg-3144	1189	25	identities	identity	NOUN
fuelectenerg-3144	1189	26	x∨	x∨	PROPN
fuelectenerg-3144	1189	27	1	1	NUM
fuelectenerg-3144	1189	28	=	=	SYM
fuelectenerg-3144	1189	29	1	1	NUM
fuelectenerg-3144	1189	30	and	and	CCONJ
fuelectenerg-3144	1189	31	x	x	ADJ
fuelectenerg-3144	1189	32	∧	∧	NOUN
fuelectenerg-3144	1189	33	1	1	NUM
fuelectenerg-3144	1189	34	=	=	SYM
fuelectenerg-3144	1189	35	x.	x.	NOUN
fuelectenerg-3144	1189	36	for	for	ADP
fuelectenerg-3144	1189	37	example	example	NOUN
fuelectenerg-3144	1189	38	,	,	PUNCT
fuelectenerg-3144	1189	39	suppose	suppose	VERB
fuelectenerg-3144	1189	40	we	we	PRON
fuelectenerg-3144	1189	41	wish	wish	VERB
fuelectenerg-3144	1189	42	to	to	PART
fuelectenerg-3144	1189	43	generate	generate	VERB
fuelectenerg-3144	1189	44	a	a	DET
fuelectenerg-3144	1189	45	logical	logical	ADJ
fuelectenerg-3144	1189	46	expression	expression	NOUN
fuelectenerg-3144	1189	47	that	that	PRON
fuelectenerg-3144	1189	48	determines	determine	VERB
fuelectenerg-3144	1189	49	whether	whether	SCONJ
fuelectenerg-3144	1189	50	a2a1a0	a2a1a0	NOUN
fuelectenerg-3144	1189	51	is	be	AUX
fuelectenerg-3144	1189	52	less	less	ADJ
fuelectenerg-3144	1189	53	than	than	ADP
fuelectenerg-3144	1189	54	or	or	CCONJ
fuelectenerg-3144	1189	55	equal	equal	ADJ
fuelectenerg-3144	1189	56	to	to	ADP
fuelectenerg-3144	1189	57	5	5	NUM
fuelectenerg-3144	1189	58	,	,	PUNCT
fuelectenerg-3144	1189	59	whose	whose	DET
fuelectenerg-3144	1189	60	base	base	NOUN
fuelectenerg-3144	1189	61	-	-	PUNCT
fuelectenerg-3144	1189	62	two	two	NUM
fuelectenerg-3144	1189	63	34	34	NUM
fuelectenerg-3144	1189	64	a0	a0	NOUN
fuelectenerg-3144	1189	65	a1	a1	PROPN
fuelectenerg-3144	1189	66	a2	a2	PROPN
fuelectenerg-3144	1189	67	a3	a3	PROPN
fuelectenerg-3144	1189	68	a4	a4	PROPN
fuelectenerg-3144	1189	69	a5	a5	PROPN
fuelectenerg-3144	1189	70	|1	|1	PRON
fuelectenerg-3144	1189	71	〉	〉	PROPN
fuelectenerg-3144	1189	72	|0	|0	NUM
fuelectenerg-3144	1189	73	〉	〉	PROPN
fuelectenerg-3144	1189	74	|1	|1	NUM
fuelectenerg-3144	1189	75	〉	〉	NOUN
fuelectenerg-3144	1189	76	y	y	PROPN
fuelectenerg-3144	1189	77	figure	figure	NOUN
fuelectenerg-3144	1189	78	20	20	NUM
fuelectenerg-3144	1189	79	:	:	PUNCT
fuelectenerg-3144	1189	80	quantum	quantum	NOUN
fuelectenerg-3144	1189	81	circuit	circuit	NOUN
fuelectenerg-3144	1189	82	implementing	implement	VERB
fuelectenerg-3144	1189	83	the	the	DET
fuelectenerg-3144	1189	84	expression	expression	NOUN
fuelectenerg-3144	1189	85	y	y	NOUN
fuelectenerg-3144	1189	86	=	=	PUNCT
fuelectenerg-3144	1189	87	¬a5∨(¬a4∧¬a3∧	¬a5∨(¬a4∧¬a3∧	ADJ
fuelectenerg-3144	1189	88	¬a2	¬a2	NOUN
fuelectenerg-3144	1189	89	∧	∧	PROPN
fuelectenerg-3144	1189	90	(	(	PUNCT
fuelectenerg-3144	1189	91	¬a1	¬a1	NOUN
fuelectenerg-3144	1189	92	∨	∨	NUM
fuelectenerg-3144	1189	93	¬a0	¬a0	NOUN
fuelectenerg-3144	1189	94	)	)	PUNCT
fuelectenerg-3144	1189	95	)	)	PUNCT
fuelectenerg-3144	1189	96	.	.	PUNCT
fuelectenerg-3144	1190	1	representation	representation	NOUN
fuelectenerg-3144	1190	2	is	be	AUX
fuelectenerg-3144	1190	3	101	101	NUM
fuelectenerg-3144	1190	4	.	.	PUNCT
fuelectenerg-3144	1191	1	then	then	ADV
fuelectenerg-3144	1191	2	,	,	PUNCT
fuelectenerg-3144	1191	3	since	since	SCONJ
fuelectenerg-3144	1191	4	r2	r2	PROPN
fuelectenerg-3144	1191	5	=	=	SYM
fuelectenerg-3144	1191	6	1	1	NUM
fuelectenerg-3144	1191	7	,	,	PUNCT
fuelectenerg-3144	1191	8	we	we	PRON
fuelectenerg-3144	1191	9	take	take	VERB
fuelectenerg-3144	1191	10	the	the	DET
fuelectenerg-3144	1191	11	logical	logical	ADJ
fuelectenerg-3144	1191	12	or	or	CCONJ
fuelectenerg-3144	1191	13	of	of	ADP
fuelectenerg-3144	1191	14	¬a2	¬a2	NOUN
fuelectenerg-3144	1191	15	with	with	ADP
fuelectenerg-3144	1191	16	an	an	DET
fuelectenerg-3144	1191	17	expression	expression	NOUN
fuelectenerg-3144	1191	18	recursively	recursively	ADV
fuelectenerg-3144	1191	19	generated	generate	VERB
fuelectenerg-3144	1191	20	to	to	PART
fuelectenerg-3144	1191	21	determine	determine	VERB
fuelectenerg-3144	1191	22	whether	whether	SCONJ
fuelectenerg-3144	1191	23	a1a0	a1a0	NOUN
fuelectenerg-3144	1191	24	is	be	AUX
fuelectenerg-3144	1191	25	less	less	ADJ
fuelectenerg-3144	1191	26	than	than	ADP
fuelectenerg-3144	1191	27	or	or	CCONJ
fuelectenerg-3144	1191	28	equal	equal	ADJ
fuelectenerg-3144	1191	29	to	to	ADP
fuelectenerg-3144	1191	30	(	(	PUNCT
fuelectenerg-3144	1191	31	01)2	01)2	NUM
fuelectenerg-3144	1191	32	=	=	SYM
fuelectenerg-3144	1191	33	1	1	NUM
fuelectenerg-3144	1191	34	.	.	PUNCT
fuelectenerg-3144	1192	1	since	since	SCONJ
fuelectenerg-3144	1192	2	r1	r1	PROPN
fuelectenerg-3144	1192	3	=	=	SYM
fuelectenerg-3144	1192	4	0	0	NUM
fuelectenerg-3144	1192	5	,	,	PUNCT
fuelectenerg-3144	1192	6	we	we	PRON
fuelectenerg-3144	1192	7	take	take	VERB
fuelectenerg-3144	1192	8	the	the	DET
fuelectenerg-3144	1192	9	logical	logical	ADJ
fuelectenerg-3144	1192	10	and	and	CCONJ
fuelectenerg-3144	1192	11	of	of	ADP
fuelectenerg-3144	1192	12	¬a1	¬a1	NOUN
fuelectenerg-3144	1192	13	with	with	ADP
fuelectenerg-3144	1192	14	the	the	DET
fuelectenerg-3144	1192	15	expression	expression	NOUN
fuelectenerg-3144	1192	16	that	that	PRON
fuelectenerg-3144	1192	17	determines	determine	VERB
fuelectenerg-3144	1192	18	whether	whether	SCONJ
fuelectenerg-3144	1192	19	a0	a0	NOUN
fuelectenerg-3144	1192	20	is	be	AUX
fuelectenerg-3144	1192	21	less	less	ADJ
fuelectenerg-3144	1192	22	than	than	ADP
fuelectenerg-3144	1192	23	1	1	NUM
fuelectenerg-3144	1192	24	.	.	PUNCT
fuelectenerg-3144	1193	1	this	this	PRON
fuelectenerg-3144	1193	2	is	be	AUX
fuelectenerg-3144	1193	3	the	the	DET
fuelectenerg-3144	1193	4	base	base	NOUN
fuelectenerg-3144	1193	5	case	case	NOUN
fuelectenerg-3144	1193	6	for	for	ADP
fuelectenerg-3144	1193	7	which	which	PRON
fuelectenerg-3144	1193	8	the	the	DET
fuelectenerg-3144	1193	9	procedure	procedure	NOUN
fuelectenerg-3144	1193	10	above	above	ADP
fuelectenerg-3144	1193	11	returns	return	VERB
fuelectenerg-3144	1193	12	a	a	DET
fuelectenerg-3144	1193	13	constant	constant	ADJ
fuelectenerg-3144	1193	14	1	1	NUM
fuelectenerg-3144	1193	15	.	.	PUNCT
fuelectenerg-3144	1194	1	therefore	therefore	ADV
fuelectenerg-3144	1194	2	,	,	PUNCT
fuelectenerg-3144	1194	3	the	the	DET
fuelectenerg-3144	1194	4	complete	complete	ADJ
fuelectenerg-3144	1194	5	generated	generate	VERB
fuelectenerg-3144	1194	6	expression	expression	NOUN
fuelectenerg-3144	1194	7	is	be	AUX
fuelectenerg-3144	1194	8	¬a2	¬a2	NOUN
fuelectenerg-3144	1194	9	∨	∨	NOUN
fuelectenerg-3144	1194	10	(	(	PUNCT
fuelectenerg-3144	1194	11	¬a1	¬a1	VERB
fuelectenerg-3144	1194	12	∧	∧	PROPN
fuelectenerg-3144	1194	13	1	1	NUM
fuelectenerg-3144	1194	14	)	)	PUNCT
fuelectenerg-3144	1194	15	,	,	PUNCT
fuelectenerg-3144	1194	16	which	which	PRON
fuelectenerg-3144	1194	17	simplifies	simplifie	NOUN
fuelectenerg-3144	1194	18	to	to	ADP
fuelectenerg-3144	1194	19	¬a2	¬a2	PROPN
fuelectenerg-3144	1194	20	∨	∨	NUM
fuelectenerg-3144	1194	21	¬a1	¬a1	NOUN
fuelectenerg-3144	1194	22	.	.	PUNCT
fuelectenerg-3144	1195	1	once	once	ADV
fuelectenerg-3144	1195	2	a	a	DET
fuelectenerg-3144	1195	3	logical	logical	ADJ
fuelectenerg-3144	1195	4	expression	expression	NOUN
fuelectenerg-3144	1195	5	is	be	AUX
fuelectenerg-3144	1195	6	obtained	obtain	VERB
fuelectenerg-3144	1195	7	,	,	PUNCT
fuelectenerg-3144	1195	8	constructing	construct	VERB
fuelectenerg-3144	1195	9	a	a	DET
fuelectenerg-3144	1195	10	quantum	quantum	ADJ
fuelectenerg-3144	1195	11	threshold	threshold	NOUN
fuelectenerg-3144	1195	12	circuit	circuit	NOUN
fuelectenerg-3144	1195	13	is	be	AUX
fuelectenerg-3144	1195	14	simply	simply	ADV
fuelectenerg-3144	1195	15	a	a	DET
fuelectenerg-3144	1195	16	matter	matter	NOUN
fuelectenerg-3144	1195	17	of	of	ADP
fuelectenerg-3144	1195	18	implementing	implement	VERB
fuelectenerg-3144	1195	19	that	that	DET
fuelectenerg-3144	1195	20	logical	logical	ADJ
fuelectenerg-3144	1195	21	expression	expression	NOUN
fuelectenerg-3144	1195	22	with	with	ADP
fuelectenerg-3144	1195	23	quantum	quantum	ADJ
fuelectenerg-3144	1195	24	gates	gate	NOUN
fuelectenerg-3144	1195	25	.	.	PUNCT
fuelectenerg-3144	1196	1	this	this	PRON
fuelectenerg-3144	1196	2	can	can	AUX
fuelectenerg-3144	1196	3	be	be	AUX
fuelectenerg-3144	1196	4	achieved	achieve	VERB
fuelectenerg-3144	1196	5	using	use	VERB
fuelectenerg-3144	1196	6	a	a	DET
fuelectenerg-3144	1196	7	cascade	cascade	NOUN
fuelectenerg-3144	1196	8	of	of	ADP
fuelectenerg-3144	1196	9	toffoli	toffoli	PROPN
fuelectenerg-3144	1196	10	gates	gate	NOUN
fuelectenerg-3144	1196	11	as	as	SCONJ
fuelectenerg-3144	1196	12	shown	show	VERB
fuelectenerg-3144	1196	13	in	in	ADP
fuelectenerg-3144	1196	14	figure	figure	NOUN
fuelectenerg-3144	1196	15	20	20	NUM
fuelectenerg-3144	1196	16	,	,	PUNCT
fuelectenerg-3144	1196	17	where	where	SCONJ
fuelectenerg-3144	1196	18	consecutive	consecutive	ADJ
fuelectenerg-3144	1196	19	logical	logical	ADJ
fuelectenerg-3144	1196	20	operations	operation	NOUN
fuelectenerg-3144	1196	21	of	of	ADP
fuelectenerg-3144	1196	22	the	the	DET
fuelectenerg-3144	1196	23	same	same	ADJ
fuelectenerg-3144	1196	24	type	type	NOUN
fuelectenerg-3144	1196	25	(	(	PUNCT
fuelectenerg-3144	1196	26	either	either	CCONJ
fuelectenerg-3144	1196	27	and	and	CCONJ
fuelectenerg-3144	1196	28	or	or	CCONJ
fuelectenerg-3144	1196	29	or	or	CCONJ
fuelectenerg-3144	1196	30	)	)	PUNCT
fuelectenerg-3144	1196	31	can	can	AUX
fuelectenerg-3144	1196	32	be	be	AUX
fuelectenerg-3144	1196	33	combined	combine	VERB
fuelectenerg-3144	1196	34	into	into	ADP
fuelectenerg-3144	1196	35	a	a	DET
fuelectenerg-3144	1196	36	single	single	ADJ
fuelectenerg-3144	1196	37	toffoli	toffoli	NOUN
fuelectenerg-3144	1196	38	gate	gate	NOUN
fuelectenerg-3144	1196	39	to	to	PART
fuelectenerg-3144	1196	40	reduce	reduce	VERB
fuelectenerg-3144	1196	41	the	the	DET
fuelectenerg-3144	1196	42	number	number	NOUN
fuelectenerg-3144	1196	43	of	of	ADP
fuelectenerg-3144	1196	44	ancilla	ancilla	PROPN
fuelectenerg-3144	1196	45	qubits	qubit	NOUN
fuelectenerg-3144	1196	46	required	require	VERB
fuelectenerg-3144	1196	47	.	.	PUNCT
fuelectenerg-3144	1197	1	we	we	PRON
fuelectenerg-3144	1197	2	observe	observe	VERB
fuelectenerg-3144	1197	3	that	that	SCONJ
fuelectenerg-3144	1197	4	the	the	DET
fuelectenerg-3144	1197	5	threshold	threshold	NOUN
fuelectenerg-3144	1197	6	is	be	AUX
fuelectenerg-3144	1197	7	“	"	PUNCT
fuelectenerg-3144	1197	8	hard	hard	ADV
fuelectenerg-3144	1197	9	-	-	PUNCT
fuelectenerg-3144	1197	10	coded	code	VERB
fuelectenerg-3144	1197	11	”	"	PUNCT
fuelectenerg-3144	1197	12	into	into	ADP
fuelectenerg-3144	1197	13	the	the	DET
fuelectenerg-3144	1197	14	circuit	circuit	NOUN
fuelectenerg-3144	1197	15	(	(	PUNCT
fuelectenerg-3144	1197	16	i.e.	i.e.	X
fuelectenerg-3144	1197	17	,	,	PUNCT
fuelectenerg-3144	1197	18	it	it	PRON
fuelectenerg-3144	1197	19	is	be	AUX
fuelectenerg-3144	1197	20	built	build	VERB
fuelectenerg-3144	1197	21	into	into	ADP
fuelectenerg-3144	1197	22	the	the	DET
fuelectenerg-3144	1197	23	circuit	circuit	NOUN
fuelectenerg-3144	1197	24	structure	structure	NOUN
fuelectenerg-3144	1197	25	itself	itself	PRON
fuelectenerg-3144	1197	26	and	and	CCONJ
fuelectenerg-3144	1197	27	can	can	AUX
fuelectenerg-3144	1197	28	only	only	ADV
fuelectenerg-3144	1197	29	be	be	AUX
fuelectenerg-3144	1197	30	changed	change	VERB
fuelectenerg-3144	1197	31	by	by	ADP
fuelectenerg-3144	1197	32	changing	change	VERB
fuelectenerg-3144	1197	33	the	the	DET
fuelectenerg-3144	1197	34	circuit	circuit	NOUN
fuelectenerg-3144	1197	35	)	)	PUNCT
fuelectenerg-3144	1197	36	and	and	CCONJ
fuelectenerg-3144	1197	37	therefore	therefore	ADV
fuelectenerg-3144	1197	38	,	,	PUNCT
fuelectenerg-3144	1197	39	generating	generate	VERB
fuelectenerg-3144	1197	40	a	a	DET
fuelectenerg-3144	1197	41	quantum	quantum	ADJ
fuelectenerg-3144	1197	42	oracle	oracle	NOUN
fuelectenerg-3144	1197	43	for	for	ADP
fuelectenerg-3144	1197	44	a	a	DET
fuelectenerg-3144	1197	45	different	different	ADJ
fuelectenerg-3144	1197	46	threshold	threshold	NOUN
fuelectenerg-3144	1197	47	involves	involve	VERB
fuelectenerg-3144	1197	48	generating	generate	VERB
fuelectenerg-3144	1197	49	a	a	DET
fuelectenerg-3144	1197	50	new	new	ADJ
fuelectenerg-3144	1197	51	threshold	threshold	NOUN
fuelectenerg-3144	1197	52	circuit	circuit	NOUN
fuelectenerg-3144	1197	53	,	,	PUNCT
fuelectenerg-3144	1197	54	as	as	SCONJ
fuelectenerg-3144	1197	55	discussed	discuss	VERB
fuelectenerg-3144	1197	56	in	in	ADP
fuelectenerg-3144	1197	57	section	section	NOUN
fuelectenerg-3144	1197	58	3.2	3.2	NUM
fuelectenerg-3144	1197	59	.	.	PUNCT
fuelectenerg-3144	1197	60	5.5	5.5	NUM
fuelectenerg-3144	1197	61	quantum	quantum	NOUN
fuelectenerg-3144	1197	62	circuit	circuit	NOUN
fuelectenerg-3144	1197	63	to	to	PART
fuelectenerg-3144	1197	64	enforce	enforce	VERB
fuelectenerg-3144	1197	65	bijectivity	bijectivity	NOUN
fuelectenerg-3144	1197	66	of	of	ADP
fuelectenerg-3144	1197	67	encodings	encoding	NOUN
fuelectenerg-3144	1197	68	in	in	ADP
fuelectenerg-3144	1197	69	section	section	NOUN
fuelectenerg-3144	1197	70	4.2	4.2	NUM
fuelectenerg-3144	1197	71	,	,	PUNCT
fuelectenerg-3144	1197	72	we	we	PRON
fuelectenerg-3144	1197	73	saw	see	VERB
fuelectenerg-3144	1197	74	that	that	SCONJ
fuelectenerg-3144	1197	75	it	it	PRON
fuelectenerg-3144	1197	76	is	be	AUX
fuelectenerg-3144	1197	77	necessary	necessary	ADJ
fuelectenerg-3144	1197	78	for	for	SCONJ
fuelectenerg-3144	1197	79	all	all	DET
fuelectenerg-3144	1197	80	encodings	encoding	NOUN
fuelectenerg-3144	1197	81	to	to	PART
fuelectenerg-3144	1197	82	be	be	AUX
fuelectenerg-3144	1197	83	bijective	bijective	ADJ
fuelectenerg-3144	1197	84	,	,	PUNCT
fuelectenerg-3144	1197	85	which	which	PRON
fuelectenerg-3144	1197	86	implies	imply	VERB
fuelectenerg-3144	1197	87	that	that	SCONJ
fuelectenerg-3144	1197	88	no	no	DET
fuelectenerg-3144	1197	89	two	two	NUM
fuelectenerg-3144	1197	90	states	state	NOUN
fuelectenerg-3144	1197	91	or	or	CCONJ
fuelectenerg-3144	1197	92	inputs	input	NOUN
fuelectenerg-3144	1197	93	of	of	ADP
fuelectenerg-3144	1197	94	an	an	DET
fuelectenerg-3144	1197	95	fsm	fsm	PROPN
fuelectenerg-3144	1197	96	may	may	AUX
fuelectenerg-3144	1197	97	be	be	AUX
fuelectenerg-3144	1197	98	encoded	encode	VERB
fuelectenerg-3144	1197	99	by	by	ADP
fuelectenerg-3144	1197	100	the	the	DET
fuelectenerg-3144	1197	101	same	same	ADJ
fuelectenerg-3144	1197	102	value	value	NOUN
fuelectenerg-3144	1197	103	.	.	PUNCT
fuelectenerg-3144	1198	1	therefore	therefore	ADV
fuelectenerg-3144	1198	2	,	,	PUNCT
fuelectenerg-3144	1198	3	the	the	DET
fuelectenerg-3144	1198	4	quantum	quantum	ADJ
fuelectenerg-3144	1198	5	oracle	oracle	NOUN
fuelectenerg-3144	1198	6	must	must	AUX
fuelectenerg-3144	1198	7	include	include	VERB
fuelectenerg-3144	1198	8	a	a	DET
fuelectenerg-3144	1198	9	circuit	circuit	NOUN
fuelectenerg-3144	1198	10	to	to	PART
fuelectenerg-3144	1198	11	check	check	VERB
fuelectenerg-3144	1198	12	for	for	ADP
fuelectenerg-3144	1198	13	and	and	CCONJ
fuelectenerg-3144	1198	14	rule	rule	VERB
fuelectenerg-3144	1198	15	out	out	ADP
fuelectenerg-3144	1198	16	encodings	encoding	NOUN
fuelectenerg-3144	1198	17	where	where	SCONJ
fuelectenerg-3144	1198	18	the	the	DET
fuelectenerg-3144	1198	19	same	same	ADJ
fuelectenerg-3144	1198	20	encoded	encode	VERB
fuelectenerg-3144	1198	21	value	value	NOUN
fuelectenerg-3144	1198	22	is	be	AUX
fuelectenerg-3144	1198	23	used	use	VERB
fuelectenerg-3144	1198	24	more	more	ADJ
fuelectenerg-3144	1198	25	than	than	ADP
fuelectenerg-3144	1198	26	once	once	ADV
fuelectenerg-3144	1198	27	.	.	PUNCT
fuelectenerg-3144	1199	1	this	this	PRON
fuelectenerg-3144	1199	2	can	can	AUX
fuelectenerg-3144	1199	3	be	be	AUX
fuelectenerg-3144	1199	4	achieved	achieve	VERB
fuelectenerg-3144	1199	5	by	by	ADP
fuelectenerg-3144	1199	6	comparing	compare	VERB
fuelectenerg-3144	1199	7	the	the	DET
fuelectenerg-3144	1199	8	encoded	encode	VERB
fuelectenerg-3144	1199	9	values	value	NOUN
fuelectenerg-3144	1199	10	for	for	ADP
fuelectenerg-3144	1199	11	every	every	DET
fuelectenerg-3144	1199	12	possible	possible	ADJ
fuelectenerg-3144	1199	13	pair	pair	NOUN
fuelectenerg-3144	1199	14	of	of	ADP
fuelectenerg-3144	1199	15	states	state	NOUN
fuelectenerg-3144	1199	16	/	/	SYM
fuelectenerg-3144	1199	17	inputs	input	NOUN
fuelectenerg-3144	1199	18	and	and	CCONJ
fuelectenerg-3144	1199	19	verifying	verifying	NOUN
fuelectenerg-3144	1199	20	that	that	SCONJ
fuelectenerg-3144	1199	21	the	the	DET
fuelectenerg-3144	1199	22	encoded	encode	VERB
fuelectenerg-3144	1199	23	values	value	NOUN
fuelectenerg-3144	1199	24	are	be	AUX
fuelectenerg-3144	1199	25	different	different	ADJ
fuelectenerg-3144	1199	26	for	for	ADP
fuelectenerg-3144	1199	27	every	every	DET
fuelectenerg-3144	1199	28	such	such	ADJ
fuelectenerg-3144	1199	29	pair	pair	NOUN
fuelectenerg-3144	1199	30	.	.	PUNCT
fuelectenerg-3144	1200	1	we	we	PRON
fuelectenerg-3144	1200	2	therefore	therefore	ADV
fuelectenerg-3144	1200	3	construct	construct	VERB
fuelectenerg-3144	1200	4	the	the	DET
fuelectenerg-3144	1200	5	circuit	circuit	NOUN
fuelectenerg-3144	1200	6	shown	show	VERB
fuelectenerg-3144	1200	7	in	in	ADP
fuelectenerg-3144	1200	8	figure	figure	NOUN
fuelectenerg-3144	1200	9	21	21	NUM
fuelectenerg-3144	1200	10	.	.	PUNCT
fuelectenerg-3144	1201	1	since	since	SCONJ
fuelectenerg-3144	1201	2	there	there	PRON
fuelectenerg-3144	1201	3	are	be	VERB
fuelectenerg-3144	1201	4	four	four	NUM
fuelectenerg-3144	1201	5	states	state	NOUN
fuelectenerg-3144	1201	6	in	in	ADP
fuelectenerg-3144	1201	7	this	this	DET
fuelectenerg-3144	1201	8	figure	figure	NOUN
fuelectenerg-3144	1201	9	,	,	PUNCT
fuelectenerg-3144	1201	10	six	six	NUM
fuelectenerg-3144	1201	11	pairs	pair	NOUN
fuelectenerg-3144	1201	12	of	of	ADP
fuelectenerg-3144	1201	13	states	state	NOUN
fuelectenerg-3144	1201	14	must	must	AUX
fuelectenerg-3144	1201	15	be	be	AUX
fuelectenerg-3144	1201	16	checked	check	VERB
fuelectenerg-3144	1201	17	,	,	PUNCT
fuelectenerg-3144	1201	18	of	of	ADP
fuelectenerg-3144	1201	19	which	which	PRON
fuelectenerg-3144	1201	20	three	three	NUM
fuelectenerg-3144	1201	21	are	be	AUX
fuelectenerg-3144	1201	22	shown	show	VERB
fuelectenerg-3144	1201	23	.	.	PUNCT
fuelectenerg-3144	1202	1	similarly	similarly	ADV
fuelectenerg-3144	1202	2	,	,	PUNCT
fuelectenerg-3144	1202	3	checks	check	NOUN
fuelectenerg-3144	1202	4	for	for	ADP
fuelectenerg-3144	1202	5	three	three	NUM
fuelectenerg-3144	1202	6	out	out	ADP
fuelectenerg-3144	1202	7	of	of	ADP
fuelectenerg-3144	1202	8	the	the	DET
fuelectenerg-3144	1202	9	six	six	NUM
fuelectenerg-3144	1202	10	pairs	pair	NOUN
fuelectenerg-3144	1202	11	of	of	ADP
fuelectenerg-3144	1202	12	inputs	input	NOUN
fuelectenerg-3144	1202	13	are	be	AUX
fuelectenerg-3144	1202	14	shown	show	VERB
fuelectenerg-3144	1202	15	,	,	PUNCT
fuelectenerg-3144	1202	16	with	with	SCONJ
fuelectenerg-3144	1202	17	the	the	DET
fuelectenerg-3144	1202	18	understanding	understanding	NOUN
fuelectenerg-3144	1202	19	that	that	PRON
fuelectenerg-3144	1202	20	the	the	DET
fuelectenerg-3144	1202	21	35	35	NUM
fuelectenerg-3144	1202	22	202	202	NUM
fuelectenerg-3144	1202	23	e.	e.	PROPN
fuelectenerg-3144	1202	24	tsai	tsai	PROPN
fuelectenerg-3144	1202	25	,	,	PUNCT
fuelectenerg-3144	1202	26	m.	m.	PROPN
fuelectenerg-3144	1202	27	perkowski	perkowski	PROPN
fuelectenerg-3144	1202	28	a	a	DET
fuelectenerg-3144	1202	29	quantum	quantum	ADJ
fuelectenerg-3144	1202	30	algorithm	algorithm	NOUN
fuelectenerg-3144	1202	31	for	for	ADP
fuelectenerg-3144	1202	32	automata	automata	NOUN
fuelectenerg-3144	1202	33	encoding	encode	VERB
fuelectenerg-3144	1202	34	203	203	NUM
fuelectenerg-3144	1202	35	full	full	ADJ
fuelectenerg-3144	1202	36	circuit	circuit	NOUN
fuelectenerg-3144	1202	37	requires	require	VERB
fuelectenerg-3144	1202	38	checks	check	NOUN
fuelectenerg-3144	1202	39	on	on	ADP
fuelectenerg-3144	1202	40	all	all	DET
fuelectenerg-3144	1202	41	six	six	NUM
fuelectenerg-3144	1202	42	.	.	PUNCT
fuelectenerg-3144	1203	1	observe	observe	VERB
fuelectenerg-3144	1203	2	that	that	SCONJ
fuelectenerg-3144	1203	3	the	the	DET
fuelectenerg-3144	1203	4	exact	exact	ADJ
fuelectenerg-3144	1203	5	same	same	ADJ
fuelectenerg-3144	1203	6	circuit	circuit	NOUN
fuelectenerg-3144	1203	7	applies	apply	VERB
fuelectenerg-3144	1203	8	for	for	ADP
fuelectenerg-3144	1203	9	checking	check	VERB
fuelectenerg-3144	1203	10	both	both	DET
fuelectenerg-3144	1203	11	state	state	NOUN
fuelectenerg-3144	1203	12	and	and	CCONJ
fuelectenerg-3144	1203	13	input	input	NOUN
fuelectenerg-3144	1203	14	encodings	encoding	NOUN
fuelectenerg-3144	1203	15	,	,	PUNCT
fuelectenerg-3144	1203	16	and	and	CCONJ
fuelectenerg-3144	1203	17	that	that	SCONJ
fuelectenerg-3144	1203	18	although	although	SCONJ
fuelectenerg-3144	1203	19	figure	figure	NOUN
fuelectenerg-3144	1203	20	21	21	NUM
fuelectenerg-3144	1203	21	assumes	assume	VERB
fuelectenerg-3144	1203	22	four	four	NUM
fuelectenerg-3144	1203	23	states	state	NOUN
fuelectenerg-3144	1203	24	,	,	PUNCT
fuelectenerg-3144	1203	25	the	the	DET
fuelectenerg-3144	1203	26	same	same	ADJ
fuelectenerg-3144	1203	27	structure	structure	NOUN
fuelectenerg-3144	1203	28	may	may	AUX
fuelectenerg-3144	1203	29	of	of	ADP
fuelectenerg-3144	1203	30	course	course	NOUN
fuelectenerg-3144	1203	31	be	be	AUX
fuelectenerg-3144	1203	32	scaled	scale	VERB
fuelectenerg-3144	1203	33	up	up	ADP
fuelectenerg-3144	1203	34	for	for	ADP
fuelectenerg-3144	1203	35	fsms	fsm	NOUN
fuelectenerg-3144	1203	36	with	with	ADP
fuelectenerg-3144	1203	37	any	any	DET
fuelectenerg-3144	1203	38	number	number	NOUN
fuelectenerg-3144	1203	39	of	of	ADP
fuelectenerg-3144	1203	40	states	state	NOUN
fuelectenerg-3144	1203	41	or	or	CCONJ
fuelectenerg-3144	1203	42	inputs	input	NOUN
fuelectenerg-3144	1203	43	.	.	PUNCT
fuelectenerg-3144	1204	1	5.6	5.6	NUM
fuelectenerg-3144	1204	2	the	the	DET
fuelectenerg-3144	1204	3	complete	complete	ADJ
fuelectenerg-3144	1204	4	quantum	quantum	ADJ
fuelectenerg-3144	1204	5	oracle	oracle	NOUN
fuelectenerg-3144	1204	6	finally	finally	ADV
fuelectenerg-3144	1204	7	,	,	PUNCT
fuelectenerg-3144	1204	8	we	we	PRON
fuelectenerg-3144	1204	9	consider	consider	VERB
fuelectenerg-3144	1204	10	how	how	SCONJ
fuelectenerg-3144	1204	11	the	the	DET
fuelectenerg-3144	1204	12	quantum	quantum	ADJ
fuelectenerg-3144	1204	13	circuits	circuit	NOUN
fuelectenerg-3144	1204	14	we	we	PRON
fuelectenerg-3144	1204	15	have	have	AUX
fuelectenerg-3144	1204	16	demonstrated	demonstrate	VERB
fuelectenerg-3144	1204	17	thus	thus	ADV
fuelectenerg-3144	1204	18	far	far	ADV
fuelectenerg-3144	1204	19	are	be	AUX
fuelectenerg-3144	1204	20	assembled	assemble	VERB
fuelectenerg-3144	1204	21	to	to	PART
fuelectenerg-3144	1204	22	form	form	VERB
fuelectenerg-3144	1204	23	a	a	DET
fuelectenerg-3144	1204	24	complete	complete	ADJ
fuelectenerg-3144	1204	25	quantum	quantum	ADJ
fuelectenerg-3144	1204	26	oracle	oracle	NOUN
fuelectenerg-3144	1204	27	.	.	PUNCT
fuelectenerg-3144	1205	1	recall	recall	VERB
fuelectenerg-3144	1205	2	that	that	SCONJ
fuelectenerg-3144	1205	3	the	the	DET
fuelectenerg-3144	1205	4	cost	cost	NOUN
fuelectenerg-3144	1205	5	calculation	calculation	NOUN
fuelectenerg-3144	1205	6	circuit	circuit	NOUN
fuelectenerg-3144	1205	7	(	(	PUNCT
fuelectenerg-3144	1205	8	section	section	NOUN
fuelectenerg-3144	1205	9	5.3	5.3	NUM
fuelectenerg-3144	1205	10	)	)	PUNCT
fuelectenerg-3144	1205	11	,	,	PUNCT
fuelectenerg-3144	1205	12	which	which	PRON
fuelectenerg-3144	1205	13	is	be	AUX
fuelectenerg-3144	1205	14	itself	itself	PRON
fuelectenerg-3144	1205	15	assembled	assemble	VERB
fuelectenerg-3144	1205	16	using	use	VERB
fuelectenerg-3144	1205	17	a	a	DET
fuelectenerg-3144	1205	18	quantum	quantum	ADJ
fuelectenerg-3144	1205	19	counter	counter	NOUN
fuelectenerg-3144	1205	20	and	and	CCONJ
fuelectenerg-3144	1205	21	dependency	dependency	NOUN
fuelectenerg-3144	1205	22	checkers	checker	NOUN
fuelectenerg-3144	1205	23	outputs	output	VERB
fuelectenerg-3144	1205	24	the	the	DET
fuelectenerg-3144	1205	25	cost	cost	NOUN
fuelectenerg-3144	1205	26	of	of	ADP
fuelectenerg-3144	1205	27	an	an	DET
fuelectenerg-3144	1205	28	encoding	encoding	NOUN
fuelectenerg-3144	1205	29	expressed	express	VERB
fuelectenerg-3144	1205	30	as	as	ADP
fuelectenerg-3144	1205	31	a	a	DET
fuelectenerg-3144	1205	32	base	base	NOUN
fuelectenerg-3144	1205	33	-	-	PUNCT
fuelectenerg-3144	1205	34	two	two	NUM
fuelectenerg-3144	1205	35	integer	integer	NOUN
fuelectenerg-3144	1205	36	,	,	PUNCT
fuelectenerg-3144	1205	37	which	which	PRON
fuelectenerg-3144	1205	38	is	be	AUX
fuelectenerg-3144	1205	39	then	then	ADV
fuelectenerg-3144	1205	40	passed	pass	VERB
fuelectenerg-3144	1205	41	to	to	ADP
fuelectenerg-3144	1205	42	the	the	DET
fuelectenerg-3144	1205	43	threshold	threshold	NOUN
fuelectenerg-3144	1205	44	circuit	circuit	NOUN
fuelectenerg-3144	1205	45	(	(	PUNCT
fuelectenerg-3144	1205	46	section	section	NOUN
fuelectenerg-3144	1205	47	5.4	5.4	NUM
fuelectenerg-3144	1205	48	)	)	PUNCT
fuelectenerg-3144	1205	49	.	.	PUNCT
fuelectenerg-3144	1206	1	the	the	DET
fuelectenerg-3144	1206	2	threshold	threshold	NOUN
fuelectenerg-3144	1206	3	circuit	circuit	NOUN
fuelectenerg-3144	1206	4	produces	produce	VERB
fuelectenerg-3144	1206	5	a	a	DET
fuelectenerg-3144	1206	6	single	single	ADJ
fuelectenerg-3144	1206	7	-	-	PUNCT
fuelectenerg-3144	1206	8	qubit	qubit	NOUN
fuelectenerg-3144	1206	9	answer	answer	NOUN
fuelectenerg-3144	1206	10	indicating	indicate	VERB
fuelectenerg-3144	1206	11	whether	whether	SCONJ
fuelectenerg-3144	1206	12	the	the	DET
fuelectenerg-3144	1206	13	calculated	calculate	VERB
fuelectenerg-3144	1206	14	cost	cost	NOUN
fuelectenerg-3144	1206	15	is	be	AUX
fuelectenerg-3144	1206	16	below	below	ADP
fuelectenerg-3144	1206	17	the	the	DET
fuelectenerg-3144	1206	18	threshold	threshold	NOUN
fuelectenerg-3144	1206	19	or	or	CCONJ
fuelectenerg-3144	1206	20	not	not	PART
fuelectenerg-3144	1206	21	.	.	PUNCT
fuelectenerg-3144	1207	1	at	at	ADP
fuelectenerg-3144	1207	2	the	the	DET
fuelectenerg-3144	1207	3	same	same	ADJ
fuelectenerg-3144	1207	4	time	time	NOUN
fuelectenerg-3144	1207	5	,	,	PUNCT
fuelectenerg-3144	1207	6	an	an	DET
fuelectenerg-3144	1207	7	encoding	encoding	NOUN
fuelectenerg-3144	1207	8	must	must	AUX
fuelectenerg-3144	1207	9	be	be	AUX
fuelectenerg-3144	1207	10	bijective	bijective	ADJ
fuelectenerg-3144	1207	11	in	in	ADP
fuelectenerg-3144	1207	12	order	order	NOUN
fuelectenerg-3144	1207	13	to	to	PART
fuelectenerg-3144	1207	14	be	be	AUX
fuelectenerg-3144	1207	15	considered	consider	VERB
fuelectenerg-3144	1207	16	at	at	ADV
fuelectenerg-3144	1207	17	all	all	ADV
fuelectenerg-3144	1207	18	.	.	PUNCT
fuelectenerg-3144	1208	1	this	this	DET
fuelectenerg-3144	1208	2	condition	condition	NOUN
fuelectenerg-3144	1208	3	is	be	AUX
fuelectenerg-3144	1208	4	enforced	enforce	VERB
fuelectenerg-3144	1208	5	by	by	ADP
fuelectenerg-3144	1208	6	a	a	DET
fuelectenerg-3144	1208	7	circuit	circuit	NOUN
fuelectenerg-3144	1208	8	that	that	PRON
fuelectenerg-3144	1208	9	checks	check	VERB
fuelectenerg-3144	1208	10	uniqueness	uniqueness	NOUN
fuelectenerg-3144	1208	11	of	of	ADP
fuelectenerg-3144	1208	12	each	each	DET
fuelectenerg-3144	1208	13	state	state	NOUN
fuelectenerg-3144	1208	14	or	or	CCONJ
fuelectenerg-3144	1208	15	input	input	NOUN
fuelectenerg-3144	1208	16	’s	’s	PART
fuelectenerg-3144	1208	17	encoding	encoding	NOUN
fuelectenerg-3144	1208	18	(	(	PUNCT
fuelectenerg-3144	1208	19	section	section	NOUN
fuelectenerg-3144	1208	20	5.5	5.5	NUM
fuelectenerg-3144	1208	21	)	)	PUNCT
fuelectenerg-3144	1208	22	.	.	PUNCT
fuelectenerg-3144	1209	1	we	we	PRON
fuelectenerg-3144	1209	2	therefore	therefore	ADV
fuelectenerg-3144	1209	3	see	see	VERB
fuelectenerg-3144	1209	4	that	that	SCONJ
fuelectenerg-3144	1209	5	our	our	PRON
fuelectenerg-3144	1209	6	quantum	quantum	ADJ
fuelectenerg-3144	1209	7	oracle	oracle	NOUN
fuelectenerg-3144	1209	8	should	should	AUX
fuelectenerg-3144	1209	9	only	only	ADV
fuelectenerg-3144	1209	10	output	output	VERB
fuelectenerg-3144	1209	11	1	1	NUM
fuelectenerg-3144	1209	12	(	(	PUNCT
fuelectenerg-3144	1209	13	true	true	ADJ
fuelectenerg-3144	1209	14	)	)	PUNCT
fuelectenerg-3144	1209	15	if	if	SCONJ
fuelectenerg-3144	1209	16	both	both	PRON
fuelectenerg-3144	1209	17	the	the	DET
fuelectenerg-3144	1209	18	threshold	threshold	NOUN
fuelectenerg-3144	1209	19	and	and	CCONJ
fuelectenerg-3144	1209	20	uniqueness	uniqueness	NOUN
fuelectenerg-3144	1209	21	checking	checking	NOUN
fuelectenerg-3144	1209	22	circuits	circuit	NOUN
fuelectenerg-3144	1209	23	output	output	VERB
fuelectenerg-3144	1209	24	1	1	NUM
fuelectenerg-3144	1209	25	.	.	PUNCT
fuelectenerg-3144	1210	1	the	the	DET
fuelectenerg-3144	1210	2	complete	complete	ADJ
fuelectenerg-3144	1210	3	quantum	quantum	NOUN
fuelectenerg-3144	1210	4	oracle	oracle	NOUN
fuelectenerg-3144	1210	5	therefore	therefore	ADV
fuelectenerg-3144	1210	6	requires	require	VERB
fuelectenerg-3144	1210	7	one	one	NUM
fuelectenerg-3144	1210	8	additional	additional	ADJ
fuelectenerg-3144	1210	9	toffoli	toffoli	PROPN
fuelectenerg-3144	1210	10	gate	gate	NOUN
fuelectenerg-3144	1210	11	to	to	PART
fuelectenerg-3144	1210	12	produce	produce	VERB
fuelectenerg-3144	1210	13	its	its	PRON
fuelectenerg-3144	1210	14	final	final	ADJ
fuelectenerg-3144	1210	15	output	output	NOUN
fuelectenerg-3144	1210	16	,	,	PUNCT
fuelectenerg-3144	1210	17	as	as	SCONJ
fuelectenerg-3144	1210	18	shown	show	VERB
fuelectenerg-3144	1210	19	in	in	ADP
fuelectenerg-3144	1210	20	figure	figure	NOUN
fuelectenerg-3144	1210	21	22	22	NUM
fuelectenerg-3144	1210	22	.	.	PUNCT
fuelectenerg-3144	1211	1	in	in	ADP
fuelectenerg-3144	1211	2	figure	figure	NOUN
fuelectenerg-3144	1211	3	22	22	NUM
fuelectenerg-3144	1211	4	,	,	PUNCT
fuelectenerg-3144	1211	5	the	the	DET
fuelectenerg-3144	1211	6	block	block	NOUN
fuelectenerg-3144	1211	7	labeled	label	VERB
fuelectenerg-3144	1211	8	“	"	PUNCT
fuelectenerg-3144	1211	9	cost	cost	NOUN
fuelectenerg-3144	1211	10	”	"	PUNCT
fuelectenerg-3144	1211	11	denotes	denote	NOUN
fuelectenerg-3144	1211	12	the	the	DET
fuelectenerg-3144	1211	13	cost	cost	NOUN
fuelectenerg-3144	1211	14	calculation	calculation	NOUN
fuelectenerg-3144	1211	15	circuit	circuit	NOUN
fuelectenerg-3144	1211	16	,	,	PUNCT
fuelectenerg-3144	1211	17	“	"	PUNCT
fuelectenerg-3144	1211	18	th(r	th(r	NOUN
fuelectenerg-3144	1211	19	)	)	PUNCT
fuelectenerg-3144	1211	20	”	"	PUNCT
fuelectenerg-3144	1211	21	denotes	denote	VERB
fuelectenerg-3144	1211	22	a	a	DET
fuelectenerg-3144	1211	23	threshold	threshold	NOUN
fuelectenerg-3144	1211	24	circuit	circuit	NOUN
fuelectenerg-3144	1211	25	with	with	ADP
fuelectenerg-3144	1211	26	threshold	threshold	NOUN
fuelectenerg-3144	1211	27	r	r	NOUN
fuelectenerg-3144	1211	28	,	,	PUNCT
fuelectenerg-3144	1211	29	and	and	CCONJ
fuelectenerg-3144	1211	30	“	"	PUNCT
fuelectenerg-3144	1211	31	u.c	u.c	PROPN
fuelectenerg-3144	1211	32	.	.	PUNCT
fuelectenerg-3144	1211	33	”	"	PUNCT
fuelectenerg-3144	1212	1	(	(	PUNCT
fuelectenerg-3144	1212	2	“	"	PUNCT
fuelectenerg-3144	1212	3	uniqueness	uniqueness	NOUN
fuelectenerg-3144	1212	4	checker	checker	NOUN
fuelectenerg-3144	1212	5	”	"	PUNCT
fuelectenerg-3144	1212	6	)	)	PUNCT
fuelectenerg-3144	1212	7	denotes	denote	VERB
fuelectenerg-3144	1212	8	the	the	DET
fuelectenerg-3144	1212	9	uniqueness	uniqueness	NOUN
fuelectenerg-3144	1212	10	checking	checking	NOUN
fuelectenerg-3144	1212	11	circuit	circuit	NOUN
fuelectenerg-3144	1212	12	.	.	PUNCT
fuelectenerg-3144	1213	1	the	the	DET
fuelectenerg-3144	1213	2	oracle	oracle	NOUN
fuelectenerg-3144	1213	3	also	also	ADV
fuelectenerg-3144	1213	4	requires	require	VERB
fuelectenerg-3144	1213	5	additional	additional	ADJ
fuelectenerg-3144	1213	6	mirror	mirror	NOUN
fuelectenerg-3144	1213	7	circuits	circuit	NOUN
fuelectenerg-3144	1213	8	to	to	PART
fuelectenerg-3144	1213	9	restore	restore	VERB
fuelectenerg-3144	1213	10	the	the	DET
fuelectenerg-3144	1213	11	ancilla	ancilla	NOUN
fuelectenerg-3144	1213	12	qubits	qubit	NOUN
fuelectenerg-3144	1213	13	to	to	ADP
fuelectenerg-3144	1213	14	their	their	PRON
fuelectenerg-3144	1213	15	original	original	ADJ
fuelectenerg-3144	1213	16	values	value	NOUN
fuelectenerg-3144	1213	17	.	.	PUNCT
fuelectenerg-3144	1214	1	these	these	PRON
fuelectenerg-3144	1214	2	are	be	AUX
fuelectenerg-3144	1214	3	denoted	denote	VERB
fuelectenerg-3144	1214	4	by	by	ADP
fuelectenerg-3144	1214	5	overbars	overbar	NOUN
fuelectenerg-3144	1214	6	;	;	PUNCT
fuelectenerg-3144	1214	7	e.g.	e.g.	ADV
fuelectenerg-3144	1214	8	,	,	PUNCT
fuelectenerg-3144	1214	9	“	"	PUNCT
fuelectenerg-3144	1214	10	u.c	u.c	PROPN
fuelectenerg-3144	1214	11	”	"	PUNCT
fuelectenerg-3144	1214	12	denotes	denote	VERB
fuelectenerg-3144	1214	13	the	the	DET
fuelectenerg-3144	1214	14	mirror	mirror	NOUN
fuelectenerg-3144	1214	15	circuit	circuit	NOUN
fuelectenerg-3144	1214	16	for	for	ADP
fuelectenerg-3144	1214	17	the	the	DET
fuelectenerg-3144	1214	18	uniqueness	uniqueness	NOUN
fuelectenerg-3144	1214	19	checker	checker	NOUN
fuelectenerg-3144	1214	20	.	.	PUNCT
fuelectenerg-3144	1215	1	in	in	ADP
fuelectenerg-3144	1215	2	particular	particular	ADJ
fuelectenerg-3144	1215	3	,	,	PUNCT
fuelectenerg-3144	1215	4	the	the	DET
fuelectenerg-3144	1215	5	mirror	mirror	NOUN
fuelectenerg-3144	1215	6	of	of	ADP
fuelectenerg-3144	1215	7	the	the	DET
fuelectenerg-3144	1215	8	cost	cost	NOUN
fuelectenerg-3144	1215	9	calculation	calculation	NOUN
fuelectenerg-3144	1215	10	circuit	circuit	NOUN
fuelectenerg-3144	1215	11	contains	contain	VERB
fuelectenerg-3144	1215	12	decrementer	decrementer	NOUN
fuelectenerg-3144	1215	13	instead	instead	ADV
fuelectenerg-3144	1215	14	of	of	ADP
fuelectenerg-3144	1215	15	incrementer	incrementer	NOUN
fuelectenerg-3144	1215	16	circuits	circuit	NOUN
fuelectenerg-3144	1215	17	;	;	PUNCT
fuelectenerg-3144	1215	18	these	these	DET
fuelectenerg-3144	1215	19	decrementer	decrementer	NOUN
fuelectenerg-3144	1215	20	circuits	circuit	NOUN
fuelectenerg-3144	1215	21	naturally	naturally	ADV
fuelectenerg-3144	1215	22	arise	arise	VERB
fuelectenerg-3144	1215	23	from	from	ADP
fuelectenerg-3144	1215	24	reversing	reverse	VERB
fuelectenerg-3144	1215	25	the	the	DET
fuelectenerg-3144	1215	26	order	order	NOUN
fuelectenerg-3144	1215	27	of	of	ADP
fuelectenerg-3144	1215	28	the	the	DET
fuelectenerg-3144	1215	29	gates	gate	NOUN
fuelectenerg-3144	1215	30	in	in	ADP
fuelectenerg-3144	1215	31	the	the	DET
fuelectenerg-3144	1215	32	incrementer	incrementer	NOUN
fuelectenerg-3144	1215	33	circuits	circuit	NOUN
fuelectenerg-3144	1215	34	from	from	ADP
fuelectenerg-3144	1215	35	figure	figure	NOUN
fuelectenerg-3144	1215	36	17	17	NUM
fuelectenerg-3144	1215	37	.	.	PUNCT
fuelectenerg-3144	1216	1	observe	observe	VERB
fuelectenerg-3144	1216	2	that	that	SCONJ
fuelectenerg-3144	1216	3	the	the	DET
fuelectenerg-3144	1216	4	design	design	NOUN
fuelectenerg-3144	1216	5	of	of	ADP
fuelectenerg-3144	1216	6	the	the	DET
fuelectenerg-3144	1216	7	oracle	oracle	NOUN
fuelectenerg-3144	1216	8	allows	allow	VERB
fuelectenerg-3144	1216	9	us	we	PRON
fuelectenerg-3144	1216	10	to	to	PART
fuelectenerg-3144	1216	11	omit	omit	VERB
fuelectenerg-3144	1216	12	additional	additional	ADJ
fuelectenerg-3144	1216	13	mirror	mirror	NOUN
fuelectenerg-3144	1216	14	circuits	circuit	NOUN
fuelectenerg-3144	1216	15	that	that	PRON
fuelectenerg-3144	1216	16	would	would	AUX
fuelectenerg-3144	1216	17	be	be	AUX
fuelectenerg-3144	1216	18	necessary	necessary	ADJ
fuelectenerg-3144	1216	19	if	if	SCONJ
fuelectenerg-3144	1216	20	these	these	DET
fuelectenerg-3144	1216	21	subcircuits	subcircuit	NOUN
fuelectenerg-3144	1216	22	were	be	AUX
fuelectenerg-3144	1216	23	being	be	AUX
fuelectenerg-3144	1216	24	used	use	VERB
fuelectenerg-3144	1216	25	as	as	ADP
fuelectenerg-3144	1216	26	stand	stand	VERB
fuelectenerg-3144	1216	27	-	-	PUNCT
fuelectenerg-3144	1216	28	alone	alone	ADJ
fuelectenerg-3144	1216	29	circuits	circuit	NOUN
fuelectenerg-3144	1216	30	.	.	PUNCT
fuelectenerg-3144	1217	1	for	for	ADP
fuelectenerg-3144	1217	2	instance	instance	NOUN
fuelectenerg-3144	1217	3	,	,	PUNCT
fuelectenerg-3144	1217	4	as	as	ADP
fuelectenerg-3144	1217	5	a	a	DET
fuelectenerg-3144	1217	6	stand	stand	VERB
fuelectenerg-3144	1217	7	-	-	PUNCT
fuelectenerg-3144	1217	8	alone	alone	ADJ
fuelectenerg-3144	1217	9	circuit	circuit	NOUN
fuelectenerg-3144	1217	10	,	,	PUNCT
fuelectenerg-3144	1217	11	the	the	DET
fuelectenerg-3144	1217	12	threshold	threshold	NOUN
fuelectenerg-3144	1217	13	circuit	circuit	NOUN
fuelectenerg-3144	1217	14	shown	show	VERB
fuelectenerg-3144	1217	15	in	in	ADP
fuelectenerg-3144	1217	16	figure	figure	NOUN
fuelectenerg-3144	1217	17	20	20	NUM
fuelectenerg-3144	1217	18	would	would	AUX
fuelectenerg-3144	1217	19	require	require	VERB
fuelectenerg-3144	1217	20	additional	additional	ADJ
fuelectenerg-3144	1217	21	mirror	mirror	NOUN
fuelectenerg-3144	1217	22	gates	gate	NOUN
fuelectenerg-3144	1217	23	(	(	PUNCT
fuelectenerg-3144	1217	24	as	as	SCONJ
fuelectenerg-3144	1217	25	shown	show	VERB
fuelectenerg-3144	1217	26	in	in	ADP
fuelectenerg-3144	1217	27	figure	figure	NOUN
fuelectenerg-3144	1217	28	23	23	NUM
fuelectenerg-3144	1217	29	)	)	PUNCT
fuelectenerg-3144	1217	30	if	if	SCONJ
fuelectenerg-3144	1217	31	one	one	PRON
fuelectenerg-3144	1217	32	wished	wish	VERB
fuelectenerg-3144	1217	33	to	to	PART
fuelectenerg-3144	1217	34	preserve	preserve	VERB
fuelectenerg-3144	1217	35	the	the	DET
fuelectenerg-3144	1217	36	states	state	NOUN
fuelectenerg-3144	1217	37	of	of	ADP
fuelectenerg-3144	1217	38	the	the	DET
fuelectenerg-3144	1217	39	two	two	NUM
fuelectenerg-3144	1217	40	ancilla	ancilla	NOUN
fuelectenerg-3144	1217	41	qubits	qubit	NOUN
fuelectenerg-3144	1217	42	for	for	ADP
fuelectenerg-3144	1217	43	later	later	ADJ
fuelectenerg-3144	1217	44	reuse	reuse	NOUN
fuelectenerg-3144	1217	45	.	.	PUNCT
fuelectenerg-3144	1218	1	however	however	ADV
fuelectenerg-3144	1218	2	,	,	PUNCT
fuelectenerg-3144	1218	3	when	when	SCONJ
fuelectenerg-3144	1218	4	used	use	VERB
fuelectenerg-3144	1218	5	in	in	ADP
fuelectenerg-3144	1218	6	the	the	DET
fuelectenerg-3144	1218	7	quantum	quantum	NOUN
fuelectenerg-3144	1218	8	oracle	oracle	NOUN
fuelectenerg-3144	1218	9	,	,	PUNCT
fuelectenerg-3144	1218	10	these	these	DET
fuelectenerg-3144	1218	11	additional	additional	ADJ
fuelectenerg-3144	1218	12	mirror	mirror	NOUN
fuelectenerg-3144	1218	13	gates	gate	NOUN
fuelectenerg-3144	1218	14	become	become	VERB
fuelectenerg-3144	1218	15	unnecessary	unnecessary	ADJ
fuelectenerg-3144	1218	16	because	because	SCONJ
fuelectenerg-3144	1218	17	the	the	DET
fuelectenerg-3144	1218	18	th(r	th(r	NOUN
fuelectenerg-3144	1218	19	)	)	PUNCT
fuelectenerg-3144	1218	20	and	and	CCONJ
fuelectenerg-3144	1218	21	th(r	th(r	NUM
fuelectenerg-3144	1218	22	)	)	PUNCT
fuelectenerg-3144	1218	23	subcircuits	subcircuit	NOUN
fuelectenerg-3144	1218	24	already	already	ADV
fuelectenerg-3144	1218	25	act	act	VERB
fuelectenerg-3144	1218	26	as	as	ADP
fuelectenerg-3144	1218	27	mirrors	mirror	NOUN
fuelectenerg-3144	1218	28	to	to	ADP
fuelectenerg-3144	1218	29	each	each	DET
fuelectenerg-3144	1218	30	other	other	ADJ
fuelectenerg-3144	1218	31	.	.	PUNCT
fuelectenerg-3144	1219	1	hence	hence	ADV
fuelectenerg-3144	1219	2	,	,	PUNCT
fuelectenerg-3144	1219	3	the	the	DET
fuelectenerg-3144	1219	4	circuit	circuit	NOUN
fuelectenerg-3144	1219	5	structure	structure	NOUN
fuelectenerg-3144	1219	6	shown	show	VERB
fuelectenerg-3144	1219	7	in	in	ADP
fuelectenerg-3144	1219	8	figure	figure	NOUN
fuelectenerg-3144	1219	9	20	20	NUM
fuelectenerg-3144	1219	10	,	,	PUNCT
fuelectenerg-3144	1219	11	without	without	ADP
fuelectenerg-3144	1219	12	additional	additional	ADJ
fuelectenerg-3144	1219	13	mirror	mirror	NOUN
fuelectenerg-3144	1219	14	gates	gate	NOUN
fuelectenerg-3144	1219	15	,	,	PUNCT
fuelectenerg-3144	1219	16	can	can	AUX
fuelectenerg-3144	1219	17	be	be	AUX
fuelectenerg-3144	1219	18	used	use	VERB
fuelectenerg-3144	1219	19	for	for	ADP
fuelectenerg-3144	1219	20	both	both	PRON
fuelectenerg-3144	1219	21	of	of	ADP
fuelectenerg-3144	1219	22	these	these	DET
fuelectenerg-3144	1219	23	subcircuits	subcircuit	NOUN
fuelectenerg-3144	1219	24	(	(	PUNCT
fuelectenerg-3144	1219	25	except	except	SCONJ
fuelectenerg-3144	1219	26	,	,	PUNCT
fuelectenerg-3144	1219	27	of	of	ADP
fuelectenerg-3144	1219	28	course	course	NOUN
fuelectenerg-3144	1219	29	,	,	PUNCT
fuelectenerg-3144	1219	30	that	that	SCONJ
fuelectenerg-3144	1219	31	the	the	DET
fuelectenerg-3144	1219	32	th(r	th(r	NOUN
fuelectenerg-3144	1219	33	)	)	PUNCT
fuelectenerg-3144	1219	34	subcircuit	subcircuit	NOUN
fuelectenerg-3144	1219	35	is	be	AUX
fuelectenerg-3144	1219	36	reversed	reverse	VERB
fuelectenerg-3144	1219	37	compared	compare	VERB
fuelectenerg-3144	1219	38	to	to	ADP
fuelectenerg-3144	1219	39	its	its	PRON
fuelectenerg-3144	1219	40	counterpart	counterpart	NOUN
fuelectenerg-3144	1219	41	)	)	PUNCT
fuelectenerg-3144	1219	42	.	.	PUNCT
fuelectenerg-3144	1220	1	this	this	DET
fuelectenerg-3144	1220	2	simplification	simplification	NOUN
fuelectenerg-3144	1220	3	effectively	effectively	ADV
fuelectenerg-3144	1220	4	halves	halve	VERB
fuelectenerg-3144	1220	5	the	the	DET
fuelectenerg-3144	1220	6	size	size	NOUN
fuelectenerg-3144	1220	7	of	of	ADP
fuelectenerg-3144	1220	8	both	both	PRON
fuelectenerg-3144	1220	9	of	of	ADP
fuelectenerg-3144	1220	10	these	these	DET
fuelectenerg-3144	1220	11	subcircuits	subcircuit	NOUN
fuelectenerg-3144	1220	12	,	,	PUNCT
fuelectenerg-3144	1220	13	as	as	SCONJ
fuelectenerg-3144	1220	14	compared	compare	VERB
fuelectenerg-3144	1220	15	with	with	ADP
fuelectenerg-3144	1220	16	their	their	PRON
fuelectenerg-3144	1220	17	standalone	standalone	NOUN
fuelectenerg-3144	1220	18	form	form	NOUN
fuelectenerg-3144	1220	19	as	as	SCONJ
fuelectenerg-3144	1220	20	seen	see	VERB
fuelectenerg-3144	1220	21	in	in	ADP
fuelectenerg-3144	1220	22	figure	figure	NOUN
fuelectenerg-3144	1220	23	23	23	NUM
fuelectenerg-3144	1220	24	.	.	PUNCT
fuelectenerg-3144	1221	1	the	the	DET
fuelectenerg-3144	1221	2	exact	exact	ADJ
fuelectenerg-3144	1221	3	same	same	ADJ
fuelectenerg-3144	1221	4	observation	observation	NOUN
fuelectenerg-3144	1221	5	also	also	ADV
fuelectenerg-3144	1221	6	applies	apply	VERB
fuelectenerg-3144	1221	7	to	to	ADP
fuelectenerg-3144	1221	8	the	the	DET
fuelectenerg-3144	1221	9	uniqueness	uniqueness	NOUN
fuelectenerg-3144	1221	10	checking	checking	NOUN
fuelectenerg-3144	1221	11	subcircuits	subcircuit	NOUN
fuelectenerg-3144	1221	12	u.c	u.c	PROPN
fuelectenerg-3144	1221	13	.	.	PUNCT
fuelectenerg-3144	1221	14	and	and	CCONJ
fuelectenerg-3144	1221	15	u.c.—their	u.c.—their	VERB
fuelectenerg-3144	1221	16	stand	stand	VERB
fuelectenerg-3144	1221	17	-	-	PUNCT
fuelectenerg-3144	1221	18	alone	alone	ADJ
fuelectenerg-3144	1221	19	forms	form	NOUN
fuelectenerg-3144	1221	20	would	would	AUX
fuelectenerg-3144	1221	21	require	require	VERB
fuelectenerg-3144	1221	22	additional	additional	ADJ
fuelectenerg-3144	1221	23	mirror	mirror	NOUN
fuelectenerg-3144	1221	24	gates	gate	NOUN
fuelectenerg-3144	1221	25	on	on	ADP
fuelectenerg-3144	1221	26	top	top	NOUN
fuelectenerg-3144	1221	27	of	of	ADP
fuelectenerg-3144	1221	28	the	the	DET
fuelectenerg-3144	1221	29	circuit	circuit	NOUN
fuelectenerg-3144	1221	30	structure	structure	NOUN
fuelectenerg-3144	1221	31	shown	show	VERB
fuelectenerg-3144	1221	32	in	in	ADP
fuelectenerg-3144	1221	33	figure	figure	NOUN
fuelectenerg-3144	1221	34	21	21	NUM
fuelectenerg-3144	1221	35	,	,	PUNCT
fuelectenerg-3144	1221	36	which	which	PRON
fuelectenerg-3144	1221	37	become	become	VERB
fuelectenerg-3144	1221	38	unnecessary	unnecessary	ADJ
fuelectenerg-3144	1221	39	when	when	SCONJ
fuelectenerg-3144	1221	40	the	the	DET
fuelectenerg-3144	1221	41	subcircuits	subcircuit	NOUN
fuelectenerg-3144	1221	42	are	be	AUX
fuelectenerg-3144	1221	43	used	use	VERB
fuelectenerg-3144	1221	44	as	as	ADP
fuelectenerg-3144	1221	45	components	component	NOUN
fuelectenerg-3144	1221	46	of	of	ADP
fuelectenerg-3144	1221	47	the	the	DET
fuelectenerg-3144	1221	48	oracle	oracle	NOUN
fuelectenerg-3144	1221	49	in	in	ADP
fuelectenerg-3144	1221	50	figure	figure	NOUN
fuelectenerg-3144	1221	51	22	22	NUM
fuelectenerg-3144	1221	52	.	.	PUNCT
fuelectenerg-3144	1222	1	we	we	PRON
fuelectenerg-3144	1222	2	observe	observe	VERB
fuelectenerg-3144	1222	3	that	that	SCONJ
fuelectenerg-3144	1222	4	the	the	DET
fuelectenerg-3144	1222	5	threshold	threshold	NOUN
fuelectenerg-3144	1222	6	circuit	circuit	NOUN
fuelectenerg-3144	1222	7	is	be	AUX
fuelectenerg-3144	1222	8	the	the	DET
fuelectenerg-3144	1222	9	only	only	ADJ
fuelectenerg-3144	1222	10	part	part	NOUN
fuelectenerg-3144	1222	11	of	of	ADP
fuelectenerg-3144	1222	12	the	the	DET
fuelectenerg-3144	1222	13	oracle	oracle	NOUN
fuelectenerg-3144	1222	14	that	that	PRON
fuelectenerg-3144	1222	15	must	must	AUX
fuelectenerg-3144	1222	16	be	be	AUX
fuelectenerg-3144	1222	17	regenerated	regenerate	VERB
fuelectenerg-3144	1222	18	for	for	ADP
fuelectenerg-3144	1222	19	each	each	DET
fuelectenerg-3144	1222	20	run	run	NOUN
fuelectenerg-3144	1222	21	of	of	ADP
fuelectenerg-3144	1222	22	grover	grover	NOUN
fuelectenerg-3144	1222	23	’s	’s	PART
fuelectenerg-3144	1222	24	algorithm	algorithm	NOUN
fuelectenerg-3144	1222	25	as	as	SCONJ
fuelectenerg-3144	1222	26	described	describe	VERB
fuelectenerg-3144	1222	27	in	in	ADP
fuelectenerg-3144	1222	28	section	section	NOUN
fuelectenerg-3144	1222	29	3.2	3.2	NUM
fuelectenerg-3144	1222	30	.	.	PUNCT
fuelectenerg-3144	1223	1	the	the	DET
fuelectenerg-3144	1223	2	other	other	ADJ
fuelectenerg-3144	1223	3	parts	part	NOUN
fuelectenerg-3144	1223	4	of	of	ADP
fuelectenerg-3144	1223	5	the	the	DET
fuelectenerg-3144	1223	6	oracle	oracle	NOUN
fuelectenerg-3144	1223	7	are	be	AUX
fuelectenerg-3144	1223	8	generated	generate	VERB
fuelectenerg-3144	1223	9	depending	depend	VERB
fuelectenerg-3144	1223	10	on	on	ADP
fuelectenerg-3144	1223	11	the	the	DET
fuelectenerg-3144	1223	12	36	36	NUM
fuelectenerg-3144	1223	13	q1(s1	q1(s1	NOUN
fuelectenerg-3144	1223	14	)	)	PUNCT
fuelectenerg-3144	1223	15	q2(s1	q2(s1	ADJ
fuelectenerg-3144	1223	16	)	)	PUNCT
fuelectenerg-3144	1223	17	q1(s2	q1(s2	NOUN
fuelectenerg-3144	1223	18	)	)	PUNCT
fuelectenerg-3144	1223	19	q2(s2	q2(s2	NOUN
fuelectenerg-3144	1223	20	)	)	PUNCT
fuelectenerg-3144	1223	21	q1(s3	q1(s3	NOUN
fuelectenerg-3144	1223	22	)	)	PUNCT
fuelectenerg-3144	1223	23	q2(s3	q2(s3	PROPN
fuelectenerg-3144	1223	24	)	)	PUNCT
fuelectenerg-3144	1223	25	q1(s4	q1(s4	PROPN
fuelectenerg-3144	1223	26	)	)	PUNCT
fuelectenerg-3144	1223	27	q2(s4	q2(s4	PROPN
fuelectenerg-3144	1223	28	)	)	PUNCT
fuelectenerg-3144	1223	29	x1(i1	x1(i1	PROPN
fuelectenerg-3144	1223	30	)	)	PUNCT
fuelectenerg-3144	1223	31	x2(i1	x2(i1	PROPN
fuelectenerg-3144	1223	32	)	)	PUNCT
fuelectenerg-3144	1223	33	x1(i2	x1(i2	NUM
fuelectenerg-3144	1223	34	)	)	PUNCT
fuelectenerg-3144	1223	35	x2(i2	x2(i2	NOUN
fuelectenerg-3144	1223	36	)	)	PUNCT
fuelectenerg-3144	1223	37	x1(i3	x1(i3	PROPN
fuelectenerg-3144	1223	38	)	)	PUNCT
fuelectenerg-3144	1223	39	x2(i3	x2(i3	PROPN
fuelectenerg-3144	1223	40	)	)	PUNCT
fuelectenerg-3144	1223	41	x1(i4	x1(i4	PROPN
fuelectenerg-3144	1223	42	)	)	PUNCT
fuelectenerg-3144	1223	43	x2(i4	x2(i4	PROPN
fuelectenerg-3144	1223	44	)	)	PUNCT
fuelectenerg-3144	1223	45	|1	|1	NUM
fuelectenerg-3144	1223	46	〉	〉	PROPN
fuelectenerg-3144	1223	47	|1	|1	NUM
fuelectenerg-3144	1223	48	〉	〉	PROPN
fuelectenerg-3144	1223	49	|1	|1	NUM
fuelectenerg-3144	1223	50	〉	〉	PROPN
fuelectenerg-3144	1223	51	|1	|1	NUM
fuelectenerg-3144	1223	52	〉	〉	PROPN
fuelectenerg-3144	1223	53	|1	|1	NUM
fuelectenerg-3144	1223	54	〉	〉	PROPN
fuelectenerg-3144	1223	55	|1	|1	NUM
fuelectenerg-3144	1224	1	〉	〉	PROPN
fuelectenerg-3144	1224	2	|0	|0	NUM
fuelectenerg-3144	1224	3	〉	〉	PROPN
fuelectenerg-3144	1224	4	figure	figure	NOUN
fuelectenerg-3144	1224	5	21	21	NUM
fuelectenerg-3144	1224	6	:	:	PUNCT
fuelectenerg-3144	1224	7	quantum	quantum	ADJ
fuelectenerg-3144	1224	8	circuit	circuit	NOUN
fuelectenerg-3144	1224	9	to	to	PART
fuelectenerg-3144	1224	10	verify	verify	VERB
fuelectenerg-3144	1224	11	uniqueness	uniqueness	NOUN
fuelectenerg-3144	1224	12	of	of	ADP
fuelectenerg-3144	1224	13	encoding	encode	VERB
fuelectenerg-3144	1224	14	for	for	ADP
fuelectenerg-3144	1224	15	each	each	DET
fuelectenerg-3144	1224	16	state	state	NOUN
fuelectenerg-3144	1224	17	/	/	SYM
fuelectenerg-3144	1224	18	input	input	NOUN
fuelectenerg-3144	1224	19	.	.	PUNCT
fuelectenerg-3144	1225	1	|00	|00	NOUN
fuelectenerg-3144	1225	2	.	.	PUNCT
fuelectenerg-3144	1225	3	.	.	PUNCT
fuelectenerg-3144	1225	4	.	.	PUNCT
fuelectenerg-3144	1226	1	0	0	NUM
fuelectenerg-3144	1226	2	〉	〉	NUM
fuelectenerg-3144	1226	3	|0	|0	NUM
fuelectenerg-3144	1226	4	〉	〉	PROPN
fuelectenerg-3144	1226	5	|0	|0	NUM
fuelectenerg-3144	1226	6	〉	〉	PROPN
fuelectenerg-3144	1226	7	output	output	NOUN
fuelectenerg-3144	1226	8	qubit	qubit	NOUN
fuelectenerg-3144	1226	9	input/	input/	VERB
fuelectenerg-3144	1226	10	ancilla	ancilla	NOUN
fuelectenerg-3144	1226	11	qubits	qubit	NOUN
fuelectenerg-3144	1226	12	cost	cost	VERB
fuelectenerg-3144	1226	13	th(r	th(r	NOUN
fuelectenerg-3144	1226	14	)	)	PUNCT
fuelectenerg-3144	1227	1	u.c	u.c	PROPN
fuelectenerg-3144	1227	2	.	.	PUNCT
fuelectenerg-3144	1228	1	u.c	u.c	PROPN
fuelectenerg-3144	1228	2	.	.	PROPN
fuelectenerg-3144	1228	3	th(r	th(r	NOUN
fuelectenerg-3144	1228	4	)	)	PUNCT
fuelectenerg-3144	1228	5	cost	cost	NOUN
fuelectenerg-3144	1228	6	figure	figure	NOUN
fuelectenerg-3144	1228	7	22	22	NUM
fuelectenerg-3144	1228	8	:	:	PUNCT
fuelectenerg-3144	1228	9	high	high	ADJ
fuelectenerg-3144	1228	10	-	-	PUNCT
fuelectenerg-3144	1228	11	level	level	NOUN
fuelectenerg-3144	1228	12	view	view	NOUN
fuelectenerg-3144	1228	13	of	of	ADP
fuelectenerg-3144	1228	14	the	the	DET
fuelectenerg-3144	1228	15	quantum	quantum	NOUN
fuelectenerg-3144	1228	16	oracle	oracle	NOUN
fuelectenerg-3144	1228	17	.	.	PUNCT
fuelectenerg-3144	1229	1	37	37	NUM
fuelectenerg-3144	1229	2	204	204	NUM
fuelectenerg-3144	1229	3	e.	e.	PROPN
fuelectenerg-3144	1229	4	tsai	tsai	PROPN
fuelectenerg-3144	1229	5	,	,	PUNCT
fuelectenerg-3144	1229	6	m.	m.	PROPN
fuelectenerg-3144	1229	7	perkowski	perkowski	PROPN
fuelectenerg-3144	1229	8	a	a	DET
fuelectenerg-3144	1229	9	quantum	quantum	ADJ
fuelectenerg-3144	1229	10	algorithm	algorithm	NOUN
fuelectenerg-3144	1229	11	for	for	ADP
fuelectenerg-3144	1229	12	automata	automata	NOUN
fuelectenerg-3144	1229	13	encoding	encode	VERB
fuelectenerg-3144	1229	14	205	205	NUM
fuelectenerg-3144	1229	15	full	full	ADJ
fuelectenerg-3144	1229	16	circuit	circuit	NOUN
fuelectenerg-3144	1229	17	requires	require	VERB
fuelectenerg-3144	1229	18	checks	check	NOUN
fuelectenerg-3144	1229	19	on	on	ADP
fuelectenerg-3144	1229	20	all	all	DET
fuelectenerg-3144	1229	21	six	six	NUM
fuelectenerg-3144	1229	22	.	.	PUNCT
fuelectenerg-3144	1230	1	observe	observe	VERB
fuelectenerg-3144	1230	2	that	that	SCONJ
fuelectenerg-3144	1230	3	the	the	DET
fuelectenerg-3144	1230	4	exact	exact	ADJ
fuelectenerg-3144	1230	5	same	same	ADJ
fuelectenerg-3144	1230	6	circuit	circuit	NOUN
fuelectenerg-3144	1230	7	applies	apply	VERB
fuelectenerg-3144	1230	8	for	for	ADP
fuelectenerg-3144	1230	9	checking	check	VERB
fuelectenerg-3144	1230	10	both	both	DET
fuelectenerg-3144	1230	11	state	state	NOUN
fuelectenerg-3144	1230	12	and	and	CCONJ
fuelectenerg-3144	1230	13	input	input	NOUN
fuelectenerg-3144	1230	14	encodings	encoding	NOUN
fuelectenerg-3144	1230	15	,	,	PUNCT
fuelectenerg-3144	1230	16	and	and	CCONJ
fuelectenerg-3144	1230	17	that	that	SCONJ
fuelectenerg-3144	1230	18	although	although	SCONJ
fuelectenerg-3144	1230	19	figure	figure	NOUN
fuelectenerg-3144	1230	20	21	21	NUM
fuelectenerg-3144	1230	21	assumes	assume	VERB
fuelectenerg-3144	1230	22	four	four	NUM
fuelectenerg-3144	1230	23	states	state	NOUN
fuelectenerg-3144	1230	24	,	,	PUNCT
fuelectenerg-3144	1230	25	the	the	DET
fuelectenerg-3144	1230	26	same	same	ADJ
fuelectenerg-3144	1230	27	structure	structure	NOUN
fuelectenerg-3144	1230	28	may	may	AUX
fuelectenerg-3144	1230	29	of	of	ADP
fuelectenerg-3144	1230	30	course	course	NOUN
fuelectenerg-3144	1230	31	be	be	AUX
fuelectenerg-3144	1230	32	scaled	scale	VERB
fuelectenerg-3144	1230	33	up	up	ADP
fuelectenerg-3144	1230	34	for	for	ADP
fuelectenerg-3144	1230	35	fsms	fsm	NOUN
fuelectenerg-3144	1230	36	with	with	ADP
fuelectenerg-3144	1230	37	any	any	DET
fuelectenerg-3144	1230	38	number	number	NOUN
fuelectenerg-3144	1230	39	of	of	ADP
fuelectenerg-3144	1230	40	states	state	NOUN
fuelectenerg-3144	1230	41	or	or	CCONJ
fuelectenerg-3144	1230	42	inputs	input	NOUN
fuelectenerg-3144	1230	43	.	.	PUNCT
fuelectenerg-3144	1231	1	5.6	5.6	NUM
fuelectenerg-3144	1231	2	the	the	DET
fuelectenerg-3144	1231	3	complete	complete	ADJ
fuelectenerg-3144	1231	4	quantum	quantum	ADJ
fuelectenerg-3144	1231	5	oracle	oracle	NOUN
fuelectenerg-3144	1231	6	finally	finally	ADV
fuelectenerg-3144	1231	7	,	,	PUNCT
fuelectenerg-3144	1231	8	we	we	PRON
fuelectenerg-3144	1231	9	consider	consider	VERB
fuelectenerg-3144	1231	10	how	how	SCONJ
fuelectenerg-3144	1231	11	the	the	DET
fuelectenerg-3144	1231	12	quantum	quantum	ADJ
fuelectenerg-3144	1231	13	circuits	circuit	NOUN
fuelectenerg-3144	1231	14	we	we	PRON
fuelectenerg-3144	1231	15	have	have	AUX
fuelectenerg-3144	1231	16	demonstrated	demonstrate	VERB
fuelectenerg-3144	1231	17	thus	thus	ADV
fuelectenerg-3144	1231	18	far	far	ADV
fuelectenerg-3144	1231	19	are	be	AUX
fuelectenerg-3144	1231	20	assembled	assemble	VERB
fuelectenerg-3144	1231	21	to	to	PART
fuelectenerg-3144	1231	22	form	form	VERB
fuelectenerg-3144	1231	23	a	a	DET
fuelectenerg-3144	1231	24	complete	complete	ADJ
fuelectenerg-3144	1231	25	quantum	quantum	ADJ
fuelectenerg-3144	1231	26	oracle	oracle	NOUN
fuelectenerg-3144	1231	27	.	.	PUNCT
fuelectenerg-3144	1232	1	recall	recall	VERB
fuelectenerg-3144	1232	2	that	that	SCONJ
fuelectenerg-3144	1232	3	the	the	DET
fuelectenerg-3144	1232	4	cost	cost	NOUN
fuelectenerg-3144	1232	5	calculation	calculation	NOUN
fuelectenerg-3144	1232	6	circuit	circuit	NOUN
fuelectenerg-3144	1232	7	(	(	PUNCT
fuelectenerg-3144	1232	8	section	section	NOUN
fuelectenerg-3144	1232	9	5.3	5.3	NUM
fuelectenerg-3144	1232	10	)	)	PUNCT
fuelectenerg-3144	1232	11	,	,	PUNCT
fuelectenerg-3144	1232	12	which	which	PRON
fuelectenerg-3144	1232	13	is	be	AUX
fuelectenerg-3144	1232	14	itself	itself	PRON
fuelectenerg-3144	1232	15	assembled	assemble	VERB
fuelectenerg-3144	1232	16	using	use	VERB
fuelectenerg-3144	1232	17	a	a	DET
fuelectenerg-3144	1232	18	quantum	quantum	ADJ
fuelectenerg-3144	1232	19	counter	counter	NOUN
fuelectenerg-3144	1232	20	and	and	CCONJ
fuelectenerg-3144	1232	21	dependency	dependency	NOUN
fuelectenerg-3144	1232	22	checkers	checker	NOUN
fuelectenerg-3144	1232	23	outputs	output	VERB
fuelectenerg-3144	1232	24	the	the	DET
fuelectenerg-3144	1232	25	cost	cost	NOUN
fuelectenerg-3144	1232	26	of	of	ADP
fuelectenerg-3144	1232	27	an	an	DET
fuelectenerg-3144	1232	28	encoding	encoding	NOUN
fuelectenerg-3144	1232	29	expressed	express	VERB
fuelectenerg-3144	1232	30	as	as	ADP
fuelectenerg-3144	1232	31	a	a	DET
fuelectenerg-3144	1232	32	base	base	NOUN
fuelectenerg-3144	1232	33	-	-	PUNCT
fuelectenerg-3144	1232	34	two	two	NUM
fuelectenerg-3144	1232	35	integer	integer	NOUN
fuelectenerg-3144	1232	36	,	,	PUNCT
fuelectenerg-3144	1232	37	which	which	PRON
fuelectenerg-3144	1232	38	is	be	AUX
fuelectenerg-3144	1232	39	then	then	ADV
fuelectenerg-3144	1232	40	passed	pass	VERB
fuelectenerg-3144	1232	41	to	to	ADP
fuelectenerg-3144	1232	42	the	the	DET
fuelectenerg-3144	1232	43	threshold	threshold	NOUN
fuelectenerg-3144	1232	44	circuit	circuit	NOUN
fuelectenerg-3144	1232	45	(	(	PUNCT
fuelectenerg-3144	1232	46	section	section	NOUN
fuelectenerg-3144	1232	47	5.4	5.4	NUM
fuelectenerg-3144	1232	48	)	)	PUNCT
fuelectenerg-3144	1232	49	.	.	PUNCT
fuelectenerg-3144	1233	1	the	the	DET
fuelectenerg-3144	1233	2	threshold	threshold	NOUN
fuelectenerg-3144	1233	3	circuit	circuit	NOUN
fuelectenerg-3144	1233	4	produces	produce	VERB
fuelectenerg-3144	1233	5	a	a	DET
fuelectenerg-3144	1233	6	single	single	ADJ
fuelectenerg-3144	1233	7	-	-	PUNCT
fuelectenerg-3144	1233	8	qubit	qubit	NOUN
fuelectenerg-3144	1233	9	answer	answer	NOUN
fuelectenerg-3144	1233	10	indicating	indicate	VERB
fuelectenerg-3144	1233	11	whether	whether	SCONJ
fuelectenerg-3144	1233	12	the	the	DET
fuelectenerg-3144	1233	13	calculated	calculate	VERB
fuelectenerg-3144	1233	14	cost	cost	NOUN
fuelectenerg-3144	1233	15	is	be	AUX
fuelectenerg-3144	1233	16	below	below	ADP
fuelectenerg-3144	1233	17	the	the	DET
fuelectenerg-3144	1233	18	threshold	threshold	NOUN
fuelectenerg-3144	1233	19	or	or	CCONJ
fuelectenerg-3144	1233	20	not	not	PART
fuelectenerg-3144	1233	21	.	.	PUNCT
fuelectenerg-3144	1234	1	at	at	ADP
fuelectenerg-3144	1234	2	the	the	DET
fuelectenerg-3144	1234	3	same	same	ADJ
fuelectenerg-3144	1234	4	time	time	NOUN
fuelectenerg-3144	1234	5	,	,	PUNCT
fuelectenerg-3144	1234	6	an	an	DET
fuelectenerg-3144	1234	7	encoding	encoding	NOUN
fuelectenerg-3144	1234	8	must	must	AUX
fuelectenerg-3144	1234	9	be	be	AUX
fuelectenerg-3144	1234	10	bijective	bijective	ADJ
fuelectenerg-3144	1234	11	in	in	ADP
fuelectenerg-3144	1234	12	order	order	NOUN
fuelectenerg-3144	1234	13	to	to	PART
fuelectenerg-3144	1234	14	be	be	AUX
fuelectenerg-3144	1234	15	considered	consider	VERB
fuelectenerg-3144	1234	16	at	at	ADV
fuelectenerg-3144	1234	17	all	all	ADV
fuelectenerg-3144	1234	18	.	.	PUNCT
fuelectenerg-3144	1235	1	this	this	DET
fuelectenerg-3144	1235	2	condition	condition	NOUN
fuelectenerg-3144	1235	3	is	be	AUX
fuelectenerg-3144	1235	4	enforced	enforce	VERB
fuelectenerg-3144	1235	5	by	by	ADP
fuelectenerg-3144	1235	6	a	a	DET
fuelectenerg-3144	1235	7	circuit	circuit	NOUN
fuelectenerg-3144	1235	8	that	that	PRON
fuelectenerg-3144	1235	9	checks	check	VERB
fuelectenerg-3144	1235	10	uniqueness	uniqueness	NOUN
fuelectenerg-3144	1235	11	of	of	ADP
fuelectenerg-3144	1235	12	each	each	DET
fuelectenerg-3144	1235	13	state	state	NOUN
fuelectenerg-3144	1235	14	or	or	CCONJ
fuelectenerg-3144	1235	15	input	input	NOUN
fuelectenerg-3144	1235	16	’s	’s	PART
fuelectenerg-3144	1235	17	encoding	encoding	NOUN
fuelectenerg-3144	1235	18	(	(	PUNCT
fuelectenerg-3144	1235	19	section	section	NOUN
fuelectenerg-3144	1235	20	5.5	5.5	NUM
fuelectenerg-3144	1235	21	)	)	PUNCT
fuelectenerg-3144	1235	22	.	.	PUNCT
fuelectenerg-3144	1236	1	we	we	PRON
fuelectenerg-3144	1236	2	therefore	therefore	ADV
fuelectenerg-3144	1236	3	see	see	VERB
fuelectenerg-3144	1236	4	that	that	SCONJ
fuelectenerg-3144	1236	5	our	our	PRON
fuelectenerg-3144	1236	6	quantum	quantum	ADJ
fuelectenerg-3144	1236	7	oracle	oracle	NOUN
fuelectenerg-3144	1236	8	should	should	AUX
fuelectenerg-3144	1236	9	only	only	ADV
fuelectenerg-3144	1236	10	output	output	VERB
fuelectenerg-3144	1236	11	1	1	NUM
fuelectenerg-3144	1236	12	(	(	PUNCT
fuelectenerg-3144	1236	13	true	true	ADJ
fuelectenerg-3144	1236	14	)	)	PUNCT
fuelectenerg-3144	1236	15	if	if	SCONJ
fuelectenerg-3144	1236	16	both	both	PRON
fuelectenerg-3144	1236	17	the	the	DET
fuelectenerg-3144	1236	18	threshold	threshold	NOUN
fuelectenerg-3144	1236	19	and	and	CCONJ
fuelectenerg-3144	1236	20	uniqueness	uniqueness	NOUN
fuelectenerg-3144	1236	21	checking	checking	NOUN
fuelectenerg-3144	1236	22	circuits	circuit	NOUN
fuelectenerg-3144	1236	23	output	output	VERB
fuelectenerg-3144	1236	24	1	1	NUM
fuelectenerg-3144	1236	25	.	.	PUNCT
fuelectenerg-3144	1237	1	the	the	DET
fuelectenerg-3144	1237	2	complete	complete	ADJ
fuelectenerg-3144	1237	3	quantum	quantum	NOUN
fuelectenerg-3144	1237	4	oracle	oracle	NOUN
fuelectenerg-3144	1237	5	therefore	therefore	ADV
fuelectenerg-3144	1237	6	requires	require	VERB
fuelectenerg-3144	1237	7	one	one	NUM
fuelectenerg-3144	1237	8	additional	additional	ADJ
fuelectenerg-3144	1237	9	toffoli	toffoli	PROPN
fuelectenerg-3144	1237	10	gate	gate	NOUN
fuelectenerg-3144	1237	11	to	to	PART
fuelectenerg-3144	1237	12	produce	produce	VERB
fuelectenerg-3144	1237	13	its	its	PRON
fuelectenerg-3144	1237	14	final	final	ADJ
fuelectenerg-3144	1237	15	output	output	NOUN
fuelectenerg-3144	1237	16	,	,	PUNCT
fuelectenerg-3144	1237	17	as	as	SCONJ
fuelectenerg-3144	1237	18	shown	show	VERB
fuelectenerg-3144	1237	19	in	in	ADP
fuelectenerg-3144	1237	20	figure	figure	NOUN
fuelectenerg-3144	1237	21	22	22	NUM
fuelectenerg-3144	1237	22	.	.	PUNCT
fuelectenerg-3144	1238	1	in	in	ADP
fuelectenerg-3144	1238	2	figure	figure	NOUN
fuelectenerg-3144	1238	3	22	22	NUM
fuelectenerg-3144	1238	4	,	,	PUNCT
fuelectenerg-3144	1238	5	the	the	DET
fuelectenerg-3144	1238	6	block	block	NOUN
fuelectenerg-3144	1238	7	labeled	label	VERB
fuelectenerg-3144	1238	8	“	"	PUNCT
fuelectenerg-3144	1238	9	cost	cost	NOUN
fuelectenerg-3144	1238	10	”	"	PUNCT
fuelectenerg-3144	1238	11	denotes	denote	NOUN
fuelectenerg-3144	1238	12	the	the	DET
fuelectenerg-3144	1238	13	cost	cost	NOUN
fuelectenerg-3144	1238	14	calculation	calculation	NOUN
fuelectenerg-3144	1238	15	circuit	circuit	NOUN
fuelectenerg-3144	1238	16	,	,	PUNCT
fuelectenerg-3144	1238	17	“	"	PUNCT
fuelectenerg-3144	1238	18	th(r	th(r	NOUN
fuelectenerg-3144	1238	19	)	)	PUNCT
fuelectenerg-3144	1238	20	”	"	PUNCT
fuelectenerg-3144	1238	21	denotes	denote	VERB
fuelectenerg-3144	1238	22	a	a	DET
fuelectenerg-3144	1238	23	threshold	threshold	NOUN
fuelectenerg-3144	1238	24	circuit	circuit	NOUN
fuelectenerg-3144	1238	25	with	with	ADP
fuelectenerg-3144	1238	26	threshold	threshold	NOUN
fuelectenerg-3144	1238	27	r	r	NOUN
fuelectenerg-3144	1238	28	,	,	PUNCT
fuelectenerg-3144	1238	29	and	and	CCONJ
fuelectenerg-3144	1238	30	“	"	PUNCT
fuelectenerg-3144	1238	31	u.c	u.c	PROPN
fuelectenerg-3144	1238	32	.	.	PUNCT
fuelectenerg-3144	1238	33	”	"	PUNCT
fuelectenerg-3144	1239	1	(	(	PUNCT
fuelectenerg-3144	1239	2	“	"	PUNCT
fuelectenerg-3144	1239	3	uniqueness	uniqueness	NOUN
fuelectenerg-3144	1239	4	checker	checker	NOUN
fuelectenerg-3144	1239	5	”	"	PUNCT
fuelectenerg-3144	1239	6	)	)	PUNCT
fuelectenerg-3144	1239	7	denotes	denote	VERB
fuelectenerg-3144	1239	8	the	the	DET
fuelectenerg-3144	1239	9	uniqueness	uniqueness	NOUN
fuelectenerg-3144	1239	10	checking	checking	NOUN
fuelectenerg-3144	1239	11	circuit	circuit	NOUN
fuelectenerg-3144	1239	12	.	.	PUNCT
fuelectenerg-3144	1240	1	the	the	DET
fuelectenerg-3144	1240	2	oracle	oracle	NOUN
fuelectenerg-3144	1240	3	also	also	ADV
fuelectenerg-3144	1240	4	requires	require	VERB
fuelectenerg-3144	1240	5	additional	additional	ADJ
fuelectenerg-3144	1240	6	mirror	mirror	NOUN
fuelectenerg-3144	1240	7	circuits	circuit	NOUN
fuelectenerg-3144	1240	8	to	to	PART
fuelectenerg-3144	1240	9	restore	restore	VERB
fuelectenerg-3144	1240	10	the	the	DET
fuelectenerg-3144	1240	11	ancilla	ancilla	NOUN
fuelectenerg-3144	1240	12	qubits	qubit	NOUN
fuelectenerg-3144	1240	13	to	to	ADP
fuelectenerg-3144	1240	14	their	their	PRON
fuelectenerg-3144	1240	15	original	original	ADJ
fuelectenerg-3144	1240	16	values	value	NOUN
fuelectenerg-3144	1240	17	.	.	PUNCT
fuelectenerg-3144	1241	1	these	these	PRON
fuelectenerg-3144	1241	2	are	be	AUX
fuelectenerg-3144	1241	3	denoted	denote	VERB
fuelectenerg-3144	1241	4	by	by	ADP
fuelectenerg-3144	1241	5	overbars	overbar	NOUN
fuelectenerg-3144	1241	6	;	;	PUNCT
fuelectenerg-3144	1241	7	e.g.	e.g.	ADV
fuelectenerg-3144	1241	8	,	,	PUNCT
fuelectenerg-3144	1241	9	“	"	PUNCT
fuelectenerg-3144	1241	10	u.c	u.c	PROPN
fuelectenerg-3144	1241	11	”	"	PUNCT
fuelectenerg-3144	1241	12	denotes	denote	VERB
fuelectenerg-3144	1241	13	the	the	DET
fuelectenerg-3144	1241	14	mirror	mirror	NOUN
fuelectenerg-3144	1241	15	circuit	circuit	NOUN
fuelectenerg-3144	1241	16	for	for	ADP
fuelectenerg-3144	1241	17	the	the	DET
fuelectenerg-3144	1241	18	uniqueness	uniqueness	NOUN
fuelectenerg-3144	1241	19	checker	checker	NOUN
fuelectenerg-3144	1241	20	.	.	PUNCT
fuelectenerg-3144	1242	1	in	in	ADP
fuelectenerg-3144	1242	2	particular	particular	ADJ
fuelectenerg-3144	1242	3	,	,	PUNCT
fuelectenerg-3144	1242	4	the	the	DET
fuelectenerg-3144	1242	5	mirror	mirror	NOUN
fuelectenerg-3144	1242	6	of	of	ADP
fuelectenerg-3144	1242	7	the	the	DET
fuelectenerg-3144	1242	8	cost	cost	NOUN
fuelectenerg-3144	1242	9	calculation	calculation	NOUN
fuelectenerg-3144	1242	10	circuit	circuit	NOUN
fuelectenerg-3144	1242	11	contains	contain	VERB
fuelectenerg-3144	1242	12	decrementer	decrementer	NOUN
fuelectenerg-3144	1242	13	instead	instead	ADV
fuelectenerg-3144	1242	14	of	of	ADP
fuelectenerg-3144	1242	15	incrementer	incrementer	NOUN
fuelectenerg-3144	1242	16	circuits	circuit	NOUN
fuelectenerg-3144	1242	17	;	;	PUNCT
fuelectenerg-3144	1242	18	these	these	DET
fuelectenerg-3144	1242	19	decrementer	decrementer	NOUN
fuelectenerg-3144	1242	20	circuits	circuit	NOUN
fuelectenerg-3144	1242	21	naturally	naturally	ADV
fuelectenerg-3144	1242	22	arise	arise	VERB
fuelectenerg-3144	1242	23	from	from	ADP
fuelectenerg-3144	1242	24	reversing	reverse	VERB
fuelectenerg-3144	1242	25	the	the	DET
fuelectenerg-3144	1242	26	order	order	NOUN
fuelectenerg-3144	1242	27	of	of	ADP
fuelectenerg-3144	1242	28	the	the	DET
fuelectenerg-3144	1242	29	gates	gate	NOUN
fuelectenerg-3144	1242	30	in	in	ADP
fuelectenerg-3144	1242	31	the	the	DET
fuelectenerg-3144	1242	32	incrementer	incrementer	NOUN
fuelectenerg-3144	1242	33	circuits	circuit	NOUN
fuelectenerg-3144	1242	34	from	from	ADP
fuelectenerg-3144	1242	35	figure	figure	NOUN
fuelectenerg-3144	1242	36	17	17	NUM
fuelectenerg-3144	1242	37	.	.	PUNCT
fuelectenerg-3144	1243	1	observe	observe	VERB
fuelectenerg-3144	1243	2	that	that	SCONJ
fuelectenerg-3144	1243	3	the	the	DET
fuelectenerg-3144	1243	4	design	design	NOUN
fuelectenerg-3144	1243	5	of	of	ADP
fuelectenerg-3144	1243	6	the	the	DET
fuelectenerg-3144	1243	7	oracle	oracle	NOUN
fuelectenerg-3144	1243	8	allows	allow	VERB
fuelectenerg-3144	1243	9	us	we	PRON
fuelectenerg-3144	1243	10	to	to	PART
fuelectenerg-3144	1243	11	omit	omit	VERB
fuelectenerg-3144	1243	12	additional	additional	ADJ
fuelectenerg-3144	1243	13	mirror	mirror	NOUN
fuelectenerg-3144	1243	14	circuits	circuit	NOUN
fuelectenerg-3144	1243	15	that	that	PRON
fuelectenerg-3144	1243	16	would	would	AUX
fuelectenerg-3144	1243	17	be	be	AUX
fuelectenerg-3144	1243	18	necessary	necessary	ADJ
fuelectenerg-3144	1243	19	if	if	SCONJ
fuelectenerg-3144	1243	20	these	these	DET
fuelectenerg-3144	1243	21	subcircuits	subcircuit	NOUN
fuelectenerg-3144	1243	22	were	be	AUX
fuelectenerg-3144	1243	23	being	be	AUX
fuelectenerg-3144	1243	24	used	use	VERB
fuelectenerg-3144	1243	25	as	as	ADP
fuelectenerg-3144	1243	26	stand	stand	VERB
fuelectenerg-3144	1243	27	-	-	PUNCT
fuelectenerg-3144	1243	28	alone	alone	ADJ
fuelectenerg-3144	1243	29	circuits	circuit	NOUN
fuelectenerg-3144	1243	30	.	.	PUNCT
fuelectenerg-3144	1244	1	for	for	ADP
fuelectenerg-3144	1244	2	instance	instance	NOUN
fuelectenerg-3144	1244	3	,	,	PUNCT
fuelectenerg-3144	1244	4	as	as	ADP
fuelectenerg-3144	1244	5	a	a	DET
fuelectenerg-3144	1244	6	stand	stand	VERB
fuelectenerg-3144	1244	7	-	-	PUNCT
fuelectenerg-3144	1244	8	alone	alone	ADJ
fuelectenerg-3144	1244	9	circuit	circuit	NOUN
fuelectenerg-3144	1244	10	,	,	PUNCT
fuelectenerg-3144	1244	11	the	the	DET
fuelectenerg-3144	1244	12	threshold	threshold	NOUN
fuelectenerg-3144	1244	13	circuit	circuit	NOUN
fuelectenerg-3144	1244	14	shown	show	VERB
fuelectenerg-3144	1244	15	in	in	ADP
fuelectenerg-3144	1244	16	figure	figure	NOUN
fuelectenerg-3144	1244	17	20	20	NUM
fuelectenerg-3144	1244	18	would	would	AUX
fuelectenerg-3144	1244	19	require	require	VERB
fuelectenerg-3144	1244	20	additional	additional	ADJ
fuelectenerg-3144	1244	21	mirror	mirror	NOUN
fuelectenerg-3144	1244	22	gates	gate	NOUN
fuelectenerg-3144	1244	23	(	(	PUNCT
fuelectenerg-3144	1244	24	as	as	SCONJ
fuelectenerg-3144	1244	25	shown	show	VERB
fuelectenerg-3144	1244	26	in	in	ADP
fuelectenerg-3144	1244	27	figure	figure	NOUN
fuelectenerg-3144	1244	28	23	23	NUM
fuelectenerg-3144	1244	29	)	)	PUNCT
fuelectenerg-3144	1244	30	if	if	SCONJ
fuelectenerg-3144	1244	31	one	one	PRON
fuelectenerg-3144	1244	32	wished	wish	VERB
fuelectenerg-3144	1244	33	to	to	PART
fuelectenerg-3144	1244	34	preserve	preserve	VERB
fuelectenerg-3144	1244	35	the	the	DET
fuelectenerg-3144	1244	36	states	state	NOUN
fuelectenerg-3144	1244	37	of	of	ADP
fuelectenerg-3144	1244	38	the	the	DET
fuelectenerg-3144	1244	39	two	two	NUM
fuelectenerg-3144	1244	40	ancilla	ancilla	NOUN
fuelectenerg-3144	1244	41	qubits	qubit	NOUN
fuelectenerg-3144	1244	42	for	for	ADP
fuelectenerg-3144	1244	43	later	later	ADJ
fuelectenerg-3144	1244	44	reuse	reuse	NOUN
fuelectenerg-3144	1244	45	.	.	PUNCT
fuelectenerg-3144	1245	1	however	however	ADV
fuelectenerg-3144	1245	2	,	,	PUNCT
fuelectenerg-3144	1245	3	when	when	SCONJ
fuelectenerg-3144	1245	4	used	use	VERB
fuelectenerg-3144	1245	5	in	in	ADP
fuelectenerg-3144	1245	6	the	the	DET
fuelectenerg-3144	1245	7	quantum	quantum	NOUN
fuelectenerg-3144	1245	8	oracle	oracle	NOUN
fuelectenerg-3144	1245	9	,	,	PUNCT
fuelectenerg-3144	1245	10	these	these	DET
fuelectenerg-3144	1245	11	additional	additional	ADJ
fuelectenerg-3144	1245	12	mirror	mirror	NOUN
fuelectenerg-3144	1245	13	gates	gate	NOUN
fuelectenerg-3144	1245	14	become	become	VERB
fuelectenerg-3144	1245	15	unnecessary	unnecessary	ADJ
fuelectenerg-3144	1245	16	because	because	SCONJ
fuelectenerg-3144	1245	17	the	the	DET
fuelectenerg-3144	1245	18	th(r	th(r	NOUN
fuelectenerg-3144	1245	19	)	)	PUNCT
fuelectenerg-3144	1245	20	and	and	CCONJ
fuelectenerg-3144	1245	21	th(r	th(r	NUM
fuelectenerg-3144	1245	22	)	)	PUNCT
fuelectenerg-3144	1245	23	subcircuits	subcircuit	NOUN
fuelectenerg-3144	1245	24	already	already	ADV
fuelectenerg-3144	1245	25	act	act	VERB
fuelectenerg-3144	1245	26	as	as	ADP
fuelectenerg-3144	1245	27	mirrors	mirror	NOUN
fuelectenerg-3144	1245	28	to	to	ADP
fuelectenerg-3144	1245	29	each	each	DET
fuelectenerg-3144	1245	30	other	other	ADJ
fuelectenerg-3144	1245	31	.	.	PUNCT
fuelectenerg-3144	1246	1	hence	hence	ADV
fuelectenerg-3144	1246	2	,	,	PUNCT
fuelectenerg-3144	1246	3	the	the	DET
fuelectenerg-3144	1246	4	circuit	circuit	NOUN
fuelectenerg-3144	1246	5	structure	structure	NOUN
fuelectenerg-3144	1246	6	shown	show	VERB
fuelectenerg-3144	1246	7	in	in	ADP
fuelectenerg-3144	1246	8	figure	figure	NOUN
fuelectenerg-3144	1246	9	20	20	NUM
fuelectenerg-3144	1246	10	,	,	PUNCT
fuelectenerg-3144	1246	11	without	without	ADP
fuelectenerg-3144	1246	12	additional	additional	ADJ
fuelectenerg-3144	1246	13	mirror	mirror	NOUN
fuelectenerg-3144	1246	14	gates	gate	NOUN
fuelectenerg-3144	1246	15	,	,	PUNCT
fuelectenerg-3144	1246	16	can	can	AUX
fuelectenerg-3144	1246	17	be	be	AUX
fuelectenerg-3144	1246	18	used	use	VERB
fuelectenerg-3144	1246	19	for	for	ADP
fuelectenerg-3144	1246	20	both	both	PRON
fuelectenerg-3144	1246	21	of	of	ADP
fuelectenerg-3144	1246	22	these	these	DET
fuelectenerg-3144	1246	23	subcircuits	subcircuit	NOUN
fuelectenerg-3144	1246	24	(	(	PUNCT
fuelectenerg-3144	1246	25	except	except	SCONJ
fuelectenerg-3144	1246	26	,	,	PUNCT
fuelectenerg-3144	1246	27	of	of	ADP
fuelectenerg-3144	1246	28	course	course	NOUN
fuelectenerg-3144	1246	29	,	,	PUNCT
fuelectenerg-3144	1246	30	that	that	SCONJ
fuelectenerg-3144	1246	31	the	the	DET
fuelectenerg-3144	1246	32	th(r	th(r	NOUN
fuelectenerg-3144	1246	33	)	)	PUNCT
fuelectenerg-3144	1246	34	subcircuit	subcircuit	NOUN
fuelectenerg-3144	1246	35	is	be	AUX
fuelectenerg-3144	1246	36	reversed	reverse	VERB
fuelectenerg-3144	1246	37	compared	compare	VERB
fuelectenerg-3144	1246	38	to	to	ADP
fuelectenerg-3144	1246	39	its	its	PRON
fuelectenerg-3144	1246	40	counterpart	counterpart	NOUN
fuelectenerg-3144	1246	41	)	)	PUNCT
fuelectenerg-3144	1246	42	.	.	PUNCT
fuelectenerg-3144	1247	1	this	this	DET
fuelectenerg-3144	1247	2	simplification	simplification	NOUN
fuelectenerg-3144	1247	3	effectively	effectively	ADV
fuelectenerg-3144	1247	4	halves	halve	VERB
fuelectenerg-3144	1247	5	the	the	DET
fuelectenerg-3144	1247	6	size	size	NOUN
fuelectenerg-3144	1247	7	of	of	ADP
fuelectenerg-3144	1247	8	both	both	PRON
fuelectenerg-3144	1247	9	of	of	ADP
fuelectenerg-3144	1247	10	these	these	DET
fuelectenerg-3144	1247	11	subcircuits	subcircuit	NOUN
fuelectenerg-3144	1247	12	,	,	PUNCT
fuelectenerg-3144	1247	13	as	as	SCONJ
fuelectenerg-3144	1247	14	compared	compare	VERB
fuelectenerg-3144	1247	15	with	with	ADP
fuelectenerg-3144	1247	16	their	their	PRON
fuelectenerg-3144	1247	17	standalone	standalone	NOUN
fuelectenerg-3144	1247	18	form	form	NOUN
fuelectenerg-3144	1247	19	as	as	SCONJ
fuelectenerg-3144	1247	20	seen	see	VERB
fuelectenerg-3144	1247	21	in	in	ADP
fuelectenerg-3144	1247	22	figure	figure	NOUN
fuelectenerg-3144	1247	23	23	23	NUM
fuelectenerg-3144	1247	24	.	.	PUNCT
fuelectenerg-3144	1248	1	the	the	DET
fuelectenerg-3144	1248	2	exact	exact	ADJ
fuelectenerg-3144	1248	3	same	same	ADJ
fuelectenerg-3144	1248	4	observation	observation	NOUN
fuelectenerg-3144	1248	5	also	also	ADV
fuelectenerg-3144	1248	6	applies	apply	VERB
fuelectenerg-3144	1248	7	to	to	ADP
fuelectenerg-3144	1248	8	the	the	DET
fuelectenerg-3144	1248	9	uniqueness	uniqueness	NOUN
fuelectenerg-3144	1248	10	checking	checking	NOUN
fuelectenerg-3144	1248	11	subcircuits	subcircuit	NOUN
fuelectenerg-3144	1248	12	u.c	u.c	PROPN
fuelectenerg-3144	1248	13	.	.	PUNCT
fuelectenerg-3144	1248	14	and	and	CCONJ
fuelectenerg-3144	1248	15	u.c.—their	u.c.—their	VERB
fuelectenerg-3144	1248	16	stand	stand	VERB
fuelectenerg-3144	1248	17	-	-	PUNCT
fuelectenerg-3144	1248	18	alone	alone	ADJ
fuelectenerg-3144	1248	19	forms	form	NOUN
fuelectenerg-3144	1248	20	would	would	AUX
fuelectenerg-3144	1248	21	require	require	VERB
fuelectenerg-3144	1248	22	additional	additional	ADJ
fuelectenerg-3144	1248	23	mirror	mirror	NOUN
fuelectenerg-3144	1248	24	gates	gate	NOUN
fuelectenerg-3144	1248	25	on	on	ADP
fuelectenerg-3144	1248	26	top	top	NOUN
fuelectenerg-3144	1248	27	of	of	ADP
fuelectenerg-3144	1248	28	the	the	DET
fuelectenerg-3144	1248	29	circuit	circuit	NOUN
fuelectenerg-3144	1248	30	structure	structure	NOUN
fuelectenerg-3144	1248	31	shown	show	VERB
fuelectenerg-3144	1248	32	in	in	ADP
fuelectenerg-3144	1248	33	figure	figure	NOUN
fuelectenerg-3144	1248	34	21	21	NUM
fuelectenerg-3144	1248	35	,	,	PUNCT
fuelectenerg-3144	1248	36	which	which	PRON
fuelectenerg-3144	1248	37	become	become	VERB
fuelectenerg-3144	1248	38	unnecessary	unnecessary	ADJ
fuelectenerg-3144	1248	39	when	when	SCONJ
fuelectenerg-3144	1248	40	the	the	DET
fuelectenerg-3144	1248	41	subcircuits	subcircuit	NOUN
fuelectenerg-3144	1248	42	are	be	AUX
fuelectenerg-3144	1248	43	used	use	VERB
fuelectenerg-3144	1248	44	as	as	ADP
fuelectenerg-3144	1248	45	components	component	NOUN
fuelectenerg-3144	1248	46	of	of	ADP
fuelectenerg-3144	1248	47	the	the	DET
fuelectenerg-3144	1248	48	oracle	oracle	NOUN
fuelectenerg-3144	1248	49	in	in	ADP
fuelectenerg-3144	1248	50	figure	figure	NOUN
fuelectenerg-3144	1248	51	22	22	NUM
fuelectenerg-3144	1248	52	.	.	PUNCT
fuelectenerg-3144	1249	1	we	we	PRON
fuelectenerg-3144	1249	2	observe	observe	VERB
fuelectenerg-3144	1249	3	that	that	SCONJ
fuelectenerg-3144	1249	4	the	the	DET
fuelectenerg-3144	1249	5	threshold	threshold	NOUN
fuelectenerg-3144	1249	6	circuit	circuit	NOUN
fuelectenerg-3144	1249	7	is	be	AUX
fuelectenerg-3144	1249	8	the	the	DET
fuelectenerg-3144	1249	9	only	only	ADJ
fuelectenerg-3144	1249	10	part	part	NOUN
fuelectenerg-3144	1249	11	of	of	ADP
fuelectenerg-3144	1249	12	the	the	DET
fuelectenerg-3144	1249	13	oracle	oracle	NOUN
fuelectenerg-3144	1249	14	that	that	PRON
fuelectenerg-3144	1249	15	must	must	AUX
fuelectenerg-3144	1249	16	be	be	AUX
fuelectenerg-3144	1249	17	regenerated	regenerate	VERB
fuelectenerg-3144	1249	18	for	for	ADP
fuelectenerg-3144	1249	19	each	each	DET
fuelectenerg-3144	1249	20	run	run	NOUN
fuelectenerg-3144	1249	21	of	of	ADP
fuelectenerg-3144	1249	22	grover	grover	NOUN
fuelectenerg-3144	1249	23	’s	’s	PART
fuelectenerg-3144	1249	24	algorithm	algorithm	NOUN
fuelectenerg-3144	1249	25	as	as	SCONJ
fuelectenerg-3144	1249	26	described	describe	VERB
fuelectenerg-3144	1249	27	in	in	ADP
fuelectenerg-3144	1249	28	section	section	NOUN
fuelectenerg-3144	1249	29	3.2	3.2	NUM
fuelectenerg-3144	1249	30	.	.	PUNCT
fuelectenerg-3144	1250	1	the	the	DET
fuelectenerg-3144	1250	2	other	other	ADJ
fuelectenerg-3144	1250	3	parts	part	NOUN
fuelectenerg-3144	1250	4	of	of	ADP
fuelectenerg-3144	1250	5	the	the	DET
fuelectenerg-3144	1250	6	oracle	oracle	NOUN
fuelectenerg-3144	1250	7	are	be	AUX
fuelectenerg-3144	1250	8	generated	generate	VERB
fuelectenerg-3144	1250	9	depending	depend	VERB
fuelectenerg-3144	1250	10	on	on	ADP
fuelectenerg-3144	1250	11	the	the	DET
fuelectenerg-3144	1250	12	36	36	NUM
fuelectenerg-3144	1250	13	q1(s1	q1(s1	NOUN
fuelectenerg-3144	1250	14	)	)	PUNCT
fuelectenerg-3144	1250	15	q2(s1	q2(s1	ADJ
fuelectenerg-3144	1250	16	)	)	PUNCT
fuelectenerg-3144	1250	17	q1(s2	q1(s2	NOUN
fuelectenerg-3144	1250	18	)	)	PUNCT
fuelectenerg-3144	1250	19	q2(s2	q2(s2	NOUN
fuelectenerg-3144	1250	20	)	)	PUNCT
fuelectenerg-3144	1250	21	q1(s3	q1(s3	NOUN
fuelectenerg-3144	1250	22	)	)	PUNCT
fuelectenerg-3144	1250	23	q2(s3	q2(s3	PROPN
fuelectenerg-3144	1250	24	)	)	PUNCT
fuelectenerg-3144	1250	25	q1(s4	q1(s4	PROPN
fuelectenerg-3144	1250	26	)	)	PUNCT
fuelectenerg-3144	1250	27	q2(s4	q2(s4	PROPN
fuelectenerg-3144	1250	28	)	)	PUNCT
fuelectenerg-3144	1250	29	x1(i1	x1(i1	PROPN
fuelectenerg-3144	1250	30	)	)	PUNCT
fuelectenerg-3144	1250	31	x2(i1	x2(i1	PROPN
fuelectenerg-3144	1250	32	)	)	PUNCT
fuelectenerg-3144	1250	33	x1(i2	x1(i2	NUM
fuelectenerg-3144	1250	34	)	)	PUNCT
fuelectenerg-3144	1250	35	x2(i2	x2(i2	NOUN
fuelectenerg-3144	1250	36	)	)	PUNCT
fuelectenerg-3144	1250	37	x1(i3	x1(i3	PROPN
fuelectenerg-3144	1250	38	)	)	PUNCT
fuelectenerg-3144	1250	39	x2(i3	x2(i3	PROPN
fuelectenerg-3144	1250	40	)	)	PUNCT
fuelectenerg-3144	1250	41	x1(i4	x1(i4	PROPN
fuelectenerg-3144	1250	42	)	)	PUNCT
fuelectenerg-3144	1250	43	x2(i4	x2(i4	PROPN
fuelectenerg-3144	1250	44	)	)	PUNCT
fuelectenerg-3144	1250	45	|1	|1	NUM
fuelectenerg-3144	1250	46	〉	〉	PROPN
fuelectenerg-3144	1250	47	|1	|1	NUM
fuelectenerg-3144	1250	48	〉	〉	PROPN
fuelectenerg-3144	1250	49	|1	|1	NUM
fuelectenerg-3144	1250	50	〉	〉	PROPN
fuelectenerg-3144	1250	51	|1	|1	NUM
fuelectenerg-3144	1250	52	〉	〉	PROPN
fuelectenerg-3144	1250	53	|1	|1	NUM
fuelectenerg-3144	1250	54	〉	〉	PROPN
fuelectenerg-3144	1250	55	|1	|1	NUM
fuelectenerg-3144	1251	1	〉	〉	PROPN
fuelectenerg-3144	1251	2	|0	|0	NUM
fuelectenerg-3144	1251	3	〉	〉	PROPN
fuelectenerg-3144	1251	4	figure	figure	NOUN
fuelectenerg-3144	1251	5	21	21	NUM
fuelectenerg-3144	1251	6	:	:	PUNCT
fuelectenerg-3144	1251	7	quantum	quantum	ADJ
fuelectenerg-3144	1251	8	circuit	circuit	NOUN
fuelectenerg-3144	1251	9	to	to	PART
fuelectenerg-3144	1251	10	verify	verify	VERB
fuelectenerg-3144	1251	11	uniqueness	uniqueness	NOUN
fuelectenerg-3144	1251	12	of	of	ADP
fuelectenerg-3144	1251	13	encoding	encode	VERB
fuelectenerg-3144	1251	14	for	for	ADP
fuelectenerg-3144	1251	15	each	each	DET
fuelectenerg-3144	1251	16	state	state	NOUN
fuelectenerg-3144	1251	17	/	/	SYM
fuelectenerg-3144	1251	18	input	input	NOUN
fuelectenerg-3144	1251	19	.	.	PUNCT
fuelectenerg-3144	1252	1	|00	|00	NOUN
fuelectenerg-3144	1252	2	.	.	PUNCT
fuelectenerg-3144	1252	3	.	.	PUNCT
fuelectenerg-3144	1252	4	.	.	PUNCT
fuelectenerg-3144	1253	1	0	0	NUM
fuelectenerg-3144	1253	2	〉	〉	NUM
fuelectenerg-3144	1253	3	|0	|0	NUM
fuelectenerg-3144	1253	4	〉	〉	PROPN
fuelectenerg-3144	1253	5	|0	|0	NUM
fuelectenerg-3144	1253	6	〉	〉	PROPN
fuelectenerg-3144	1253	7	output	output	NOUN
fuelectenerg-3144	1253	8	qubit	qubit	NOUN
fuelectenerg-3144	1253	9	input/	input/	VERB
fuelectenerg-3144	1253	10	ancilla	ancilla	NOUN
fuelectenerg-3144	1253	11	qubits	qubit	NOUN
fuelectenerg-3144	1253	12	cost	cost	VERB
fuelectenerg-3144	1253	13	th(r	th(r	NOUN
fuelectenerg-3144	1253	14	)	)	PUNCT
fuelectenerg-3144	1254	1	u.c	u.c	PROPN
fuelectenerg-3144	1254	2	.	.	PUNCT
fuelectenerg-3144	1255	1	u.c	u.c	PROPN
fuelectenerg-3144	1255	2	.	.	PROPN
fuelectenerg-3144	1255	3	th(r	th(r	NOUN
fuelectenerg-3144	1255	4	)	)	PUNCT
fuelectenerg-3144	1255	5	cost	cost	NOUN
fuelectenerg-3144	1255	6	figure	figure	NOUN
fuelectenerg-3144	1255	7	22	22	NUM
fuelectenerg-3144	1255	8	:	:	PUNCT
fuelectenerg-3144	1255	9	high	high	ADJ
fuelectenerg-3144	1255	10	-	-	PUNCT
fuelectenerg-3144	1255	11	level	level	NOUN
fuelectenerg-3144	1255	12	view	view	NOUN
fuelectenerg-3144	1255	13	of	of	ADP
fuelectenerg-3144	1255	14	the	the	DET
fuelectenerg-3144	1255	15	quantum	quantum	NOUN
fuelectenerg-3144	1255	16	oracle	oracle	NOUN
fuelectenerg-3144	1255	17	.	.	PUNCT
fuelectenerg-3144	1256	1	37	37	NUM
fuelectenerg-3144	1256	2	204	204	NUM
fuelectenerg-3144	1256	3	e.	e.	PROPN
fuelectenerg-3144	1256	4	tsai	tsai	PROPN
fuelectenerg-3144	1256	5	,	,	PUNCT
fuelectenerg-3144	1256	6	m.	m.	PROPN
fuelectenerg-3144	1256	7	perkowski	perkowski	PROPN
fuelectenerg-3144	1256	8	a	a	DET
fuelectenerg-3144	1256	9	quantum	quantum	ADJ
fuelectenerg-3144	1256	10	algorithm	algorithm	NOUN
fuelectenerg-3144	1256	11	for	for	ADP
fuelectenerg-3144	1256	12	automata	automata	NOUN
fuelectenerg-3144	1256	13	encoding	encode	VERB
fuelectenerg-3144	1256	14	205	205	NUM
fuelectenerg-3144	1256	15	a0	a0	NOUN
fuelectenerg-3144	1256	16	a1	a1	NOUN
fuelectenerg-3144	1256	17	a2	a2	PROPN
fuelectenerg-3144	1256	18	a3	a3	PROPN
fuelectenerg-3144	1256	19	a4	a4	PROPN
fuelectenerg-3144	1256	20	a5	a5	PROPN
fuelectenerg-3144	1256	21	|1	|1	PRON
fuelectenerg-3144	1256	22	〉	〉	PROPN
fuelectenerg-3144	1256	23	|0	|0	NUM
fuelectenerg-3144	1256	24	〉	〉	PROPN
fuelectenerg-3144	1256	25	|1	|1	X
fuelectenerg-3144	1256	26	〉	〉	NUM
fuelectenerg-3144	1256	27	figure	figure	NOUN
fuelectenerg-3144	1256	28	23	23	NUM
fuelectenerg-3144	1256	29	:	:	PUNCT
fuelectenerg-3144	1256	30	threshold	threshold	NOUN
fuelectenerg-3144	1256	31	circuit	circuit	NOUN
fuelectenerg-3144	1256	32	from	from	ADP
fuelectenerg-3144	1256	33	figure	figure	NOUN
fuelectenerg-3144	1256	34	20	20	NUM
fuelectenerg-3144	1256	35	with	with	ADP
fuelectenerg-3144	1256	36	mirror	mirror	NOUN
fuelectenerg-3144	1256	37	gates	gate	NOUN
fuelectenerg-3144	1256	38	.	.	PUNCT
fuelectenerg-3144	1257	1	the	the	DET
fuelectenerg-3144	1257	2	mirror	mirror	NOUN
fuelectenerg-3144	1257	3	gates	gate	NOUN
fuelectenerg-3144	1257	4	turn	turn	VERB
fuelectenerg-3144	1257	5	out	out	ADP
fuelectenerg-3144	1257	6	to	to	PART
fuelectenerg-3144	1257	7	be	be	AUX
fuelectenerg-3144	1257	8	unnecessary	unnecessary	ADJ
fuelectenerg-3144	1257	9	as	as	SCONJ
fuelectenerg-3144	1257	10	explained	explain	VERB
fuelectenerg-3144	1257	11	in	in	ADP
fuelectenerg-3144	1257	12	the	the	DET
fuelectenerg-3144	1257	13	main	main	ADJ
fuelectenerg-3144	1257	14	text	text	NOUN
fuelectenerg-3144	1257	15	.	.	PUNCT
fuelectenerg-3144	1258	1	fsm	fsm	PROPN
fuelectenerg-3144	1258	2	being	be	AUX
fuelectenerg-3144	1258	3	encoded	encode	VERB
fuelectenerg-3144	1258	4	,	,	PUNCT
fuelectenerg-3144	1258	5	but	but	CCONJ
fuelectenerg-3144	1258	6	are	be	AUX
fuelectenerg-3144	1258	7	independent	independent	ADJ
fuelectenerg-3144	1258	8	of	of	ADP
fuelectenerg-3144	1258	9	the	the	DET
fuelectenerg-3144	1258	10	chosen	choose	VERB
fuelectenerg-3144	1258	11	threshold	threshold	NOUN
fuelectenerg-3144	1258	12	;	;	PUNCT
fuelectenerg-3144	1258	13	thus	thus	ADV
fuelectenerg-3144	1258	14	,	,	PUNCT
fuelectenerg-3144	1258	15	they	they	PRON
fuelectenerg-3144	1258	16	remain	remain	VERB
fuelectenerg-3144	1258	17	unchanged	unchanged	ADJ
fuelectenerg-3144	1258	18	throughout	throughout	ADP
fuelectenerg-3144	1258	19	the	the	DET
fuelectenerg-3144	1258	20	entire	entire	ADJ
fuelectenerg-3144	1258	21	search	search	NOUN
fuelectenerg-3144	1258	22	procedure	procedure	NOUN
fuelectenerg-3144	1258	23	described	describe	VERB
fuelectenerg-3144	1258	24	in	in	ADP
fuelectenerg-3144	1258	25	section	section	NOUN
fuelectenerg-3144	1258	26	3.2	3.2	NUM
fuelectenerg-3144	1258	27	.	.	PUNCT
fuelectenerg-3144	1259	1	with	with	ADP
fuelectenerg-3144	1259	2	this	this	DET
fuelectenerg-3144	1259	3	oracle,11	oracle,11	NOUN
fuelectenerg-3144	1259	4	we	we	PRON
fuelectenerg-3144	1259	5	have	have	AUX
fuelectenerg-3144	1259	6	met	meet	VERB
fuelectenerg-3144	1259	7	the	the	DET
fuelectenerg-3144	1259	8	objective	objective	NOUN
fuelectenerg-3144	1259	9	stated	state	VERB
fuelectenerg-3144	1259	10	at	at	ADP
fuelectenerg-3144	1259	11	the	the	DET
fuelectenerg-3144	1259	12	end	end	NOUN
fuelectenerg-3144	1259	13	of	of	ADP
fuelectenerg-3144	1259	14	section	section	NOUN
fuelectenerg-3144	1259	15	3.2	3.2	NUM
fuelectenerg-3144	1259	16	and	and	CCONJ
fuelectenerg-3144	1259	17	therefore	therefore	ADV
fuelectenerg-3144	1259	18	,	,	PUNCT
fuelectenerg-3144	1259	19	the	the	DET
fuelectenerg-3144	1259	20	procedure	procedure	NOUN
fuelectenerg-3144	1259	21	described	describe	VERB
fuelectenerg-3144	1259	22	in	in	ADP
fuelectenerg-3144	1259	23	section	section	NOUN
fuelectenerg-3144	1259	24	3.2	3.2	NUM
fuelectenerg-3144	1259	25	gives	give	VERB
fuelectenerg-3144	1259	26	a	a	DET
fuelectenerg-3144	1259	27	complete	complete	ADJ
fuelectenerg-3144	1259	28	algorithm	algorithm	NOUN
fuelectenerg-3144	1259	29	for	for	ADP
fuelectenerg-3144	1259	30	finding	find	VERB
fuelectenerg-3144	1259	31	an	an	DET
fuelectenerg-3144	1259	32	exact	exact	ADJ
fuelectenerg-3144	1259	33	optimal	optimal	ADJ
fuelectenerg-3144	1259	34	encoding	encoding	NOUN
fuelectenerg-3144	1259	35	of	of	ADP
fuelectenerg-3144	1259	36	an	an	DET
fuelectenerg-3144	1259	37	fsm	fsm	NOUN
fuelectenerg-3144	1259	38	with	with	ADP
fuelectenerg-3144	1259	39	the	the	DET
fuelectenerg-3144	1259	40	help	help	NOUN
fuelectenerg-3144	1259	41	of	of	ADP
fuelectenerg-3144	1259	42	grover	grover	PROPN
fuelectenerg-3144	1259	43	’s	’s	PART
fuelectenerg-3144	1259	44	algorithm	algorithm	NOUN
fuelectenerg-3144	1259	45	.	.	PUNCT
fuelectenerg-3144	1260	1	6	6	NUM
fuelectenerg-3144	1260	2	run	run	NOUN
fuelectenerg-3144	1260	3	time	time	NOUN
fuelectenerg-3144	1260	4	complexity	complexity	NOUN
fuelectenerg-3144	1260	5	analysis	analysis	NOUN
fuelectenerg-3144	1260	6	6.1	6.1	NUM
fuelectenerg-3144	1260	7	run	run	NOUN
fuelectenerg-3144	1260	8	time	time	NOUN
fuelectenerg-3144	1260	9	complexity	complexity	NOUN
fuelectenerg-3144	1260	10	of	of	ADP
fuelectenerg-3144	1260	11	the	the	DET
fuelectenerg-3144	1260	12	proposed	propose	VERB
fuelectenerg-3144	1260	13	quantum	quantum	NOUN
fuelectenerg-3144	1260	14	algorithm	algorithm	NOUN
fuelectenerg-3144	1260	15	we	we	PRON
fuelectenerg-3144	1260	16	now	now	ADV
fuelectenerg-3144	1260	17	wish	wish	VERB
fuelectenerg-3144	1260	18	to	to	PART
fuelectenerg-3144	1260	19	determine	determine	VERB
fuelectenerg-3144	1260	20	the	the	DET
fuelectenerg-3144	1260	21	run	run	NOUN
fuelectenerg-3144	1260	22	time	time	NOUN
fuelectenerg-3144	1260	23	complexity	complexity	NOUN
fuelectenerg-3144	1260	24	of	of	ADP
fuelectenerg-3144	1260	25	our	our	PRON
fuelectenerg-3144	1260	26	proposed	propose	VERB
fuelectenerg-3144	1260	27	quantum	quantum	NOUN
fuelectenerg-3144	1260	28	algorithm	algorithm	NOUN
fuelectenerg-3144	1260	29	,	,	PUNCT
fuelectenerg-3144	1260	30	in	in	ADP
fuelectenerg-3144	1260	31	order	order	NOUN
fuelectenerg-3144	1260	32	to	to	PART
fuelectenerg-3144	1260	33	compare	compare	VERB
fuelectenerg-3144	1260	34	its	its	PRON
fuelectenerg-3144	1260	35	performance	performance	NOUN
fuelectenerg-3144	1260	36	against	against	ADP
fuelectenerg-3144	1260	37	that	that	PRON
fuelectenerg-3144	1260	38	of	of	ADP
fuelectenerg-3144	1260	39	an	an	DET
fuelectenerg-3144	1260	40	analogous	analogous	ADJ
fuelectenerg-3144	1260	41	exhaustive	exhaustive	ADJ
fuelectenerg-3144	1260	42	search	search	NOUN
fuelectenerg-3144	1260	43	-	-	PUNCT
fuelectenerg-3144	1260	44	based	base	VERB
fuelectenerg-3144	1260	45	classical	classical	ADJ
fuelectenerg-3144	1260	46	algorithm	algorithm	NOUN
fuelectenerg-3144	1260	47	for	for	ADP
fuelectenerg-3144	1260	48	the	the	DET
fuelectenerg-3144	1260	49	same	same	ADJ
fuelectenerg-3144	1260	50	problem	problem	NOUN
fuelectenerg-3144	1260	51	.	.	PUNCT
fuelectenerg-3144	1261	1	in	in	ADP
fuelectenerg-3144	1261	2	this	this	DET
fuelectenerg-3144	1261	3	determination	determination	NOUN
fuelectenerg-3144	1261	4	,	,	PUNCT
fuelectenerg-3144	1261	5	we	we	PRON
fuelectenerg-3144	1261	6	make	make	VERB
fuelectenerg-3144	1261	7	certain	certain	ADJ
fuelectenerg-3144	1261	8	simplifying	simplifying	NOUN
fuelectenerg-3144	1261	9	assumptions	assumption	NOUN
fuelectenerg-3144	1261	10	,	,	PUNCT
fuelectenerg-3144	1261	11	as	as	SCONJ
fuelectenerg-3144	1261	12	described	describe	VERB
fuelectenerg-3144	1261	13	below	below	ADV
fuelectenerg-3144	1261	14	.	.	PUNCT
fuelectenerg-3144	1262	1	these	these	DET
fuelectenerg-3144	1262	2	simplifications	simplification	NOUN
fuelectenerg-3144	1262	3	are	be	AUX
fuelectenerg-3144	1262	4	justified	justify	VERB
fuelectenerg-3144	1262	5	because	because	SCONJ
fuelectenerg-3144	1262	6	our	our	PRON
fuelectenerg-3144	1262	7	goal	goal	NOUN
fuelectenerg-3144	1262	8	is	be	AUX
fuelectenerg-3144	1262	9	not	not	PART
fuelectenerg-3144	1262	10	to	to	PART
fuelectenerg-3144	1262	11	perform	perform	VERB
fuelectenerg-3144	1262	12	the	the	DET
fuelectenerg-3144	1262	13	most	most	ADV
fuelectenerg-3144	1262	14	detailed	detailed	ADJ
fuelectenerg-3144	1262	15	and	and	CCONJ
fuelectenerg-3144	1262	16	nuanced	nuanced	ADJ
fuelectenerg-3144	1262	17	analysis	analysis	NOUN
fuelectenerg-3144	1262	18	possible	possible	ADJ
fuelectenerg-3144	1262	19	,	,	PUNCT
fuelectenerg-3144	1262	20	but	but	CCONJ
fuelectenerg-3144	1262	21	rather	rather	ADV
fuelectenerg-3144	1262	22	to	to	PART
fuelectenerg-3144	1262	23	show	show	VERB
fuelectenerg-3144	1262	24	that	that	SCONJ
fuelectenerg-3144	1262	25	our	our	PRON
fuelectenerg-3144	1262	26	proposed	propose	VERB
fuelectenerg-3144	1262	27	algorithm	algorithm	NOUN
fuelectenerg-3144	1262	28	can	can	AUX
fuelectenerg-3144	1262	29	reasonably	reasonably	ADV
fuelectenerg-3144	1262	30	be	be	AUX
fuelectenerg-3144	1262	31	expected	expect	VERB
fuelectenerg-3144	1262	32	to	to	PART
fuelectenerg-3144	1262	33	outperform	outperform	VERB
fuelectenerg-3144	1262	34	the	the	DET
fuelectenerg-3144	1262	35	classical	classical	ADJ
fuelectenerg-3144	1262	36	algorithm	algorithm	NOUN
fuelectenerg-3144	1262	37	.	.	PUNCT
fuelectenerg-3144	1263	1	when	when	SCONJ
fuelectenerg-3144	1263	2	computing	compute	VERB
fuelectenerg-3144	1263	3	the	the	DET
fuelectenerg-3144	1263	4	run	run	NOUN
fuelectenerg-3144	1263	5	time	time	NOUN
fuelectenerg-3144	1263	6	complexity	complexity	NOUN
fuelectenerg-3144	1263	7	of	of	ADP
fuelectenerg-3144	1263	8	a	a	DET
fuelectenerg-3144	1263	9	quantum	quantum	ADJ
fuelectenerg-3144	1263	10	circuit	circuit	NOUN
fuelectenerg-3144	1263	11	,	,	PUNCT
fuelectenerg-3144	1263	12	we	we	PRON
fuelectenerg-3144	1263	13	must	must	AUX
fuelectenerg-3144	1263	14	take	take	VERB
fuelectenerg-3144	1263	15	into	into	ADP
fuelectenerg-3144	1263	16	account	account	NOUN
fuelectenerg-3144	1263	17	the	the	DET
fuelectenerg-3144	1263	18	differing	differ	VERB
fuelectenerg-3144	1263	19	quantum	quantum	ADJ
fuelectenerg-3144	1263	20	cost	cost	NOUN
fuelectenerg-3144	1263	21	[	[	X
fuelectenerg-3144	1263	22	19	19	NUM
fuelectenerg-3144	1263	23	]	]	PUNCT
fuelectenerg-3144	1263	24	of	of	ADP
fuelectenerg-3144	1263	25	the	the	DET
fuelectenerg-3144	1263	26	various	various	ADJ
fuelectenerg-3144	1263	27	quantum	quantum	NOUN
fuelectenerg-3144	1263	28	gates	gate	NOUN
fuelectenerg-3144	1263	29	used	use	VERB
fuelectenerg-3144	1263	30	in	in	ADP
fuelectenerg-3144	1263	31	the	the	DET
fuelectenerg-3144	1263	32	circuit	circuit	NOUN
fuelectenerg-3144	1263	33	—	—	PUNCT
fuelectenerg-3144	1263	34	in	in	ADP
fuelectenerg-3144	1263	35	our	our	PRON
fuelectenerg-3144	1263	36	case	case	NOUN
fuelectenerg-3144	1263	37	,	,	PUNCT
fuelectenerg-3144	1263	38	these	these	PRON
fuelectenerg-3144	1263	39	are	be	AUX
fuelectenerg-3144	1263	40	feynman	feynman	PROPN
fuelectenerg-3144	1263	41	,	,	PUNCT
fuelectenerg-3144	1263	42	toffoli	toffoli	PROPN
fuelectenerg-3144	1263	43	,	,	PUNCT
fuelectenerg-3144	1263	44	and	and	CCONJ
fuelectenerg-3144	1263	45	multiple	multiple	ADJ
fuelectenerg-3144	1263	46	-	-	PUNCT
fuelectenerg-3144	1263	47	control	control	NOUN
fuelectenerg-3144	1263	48	toffoli	toffoli	NOUN
fuelectenerg-3144	1263	49	gates	gate	VERB
fuelectenerg-3144	1263	50	.	.	PUNCT
fuelectenerg-3144	1264	1	we	we	PRON
fuelectenerg-3144	1264	2	recall	recall	VERB
fuelectenerg-3144	1264	3	that	that	SCONJ
fuelectenerg-3144	1264	4	quantum	quantum	NOUN
fuelectenerg-3144	1264	5	gates	gate	NOUN
fuelectenerg-3144	1264	6	are	be	AUX
fuelectenerg-3144	1264	7	not	not	PART
fuelectenerg-3144	1264	8	physical	physical	ADJ
fuelectenerg-3144	1264	9	hardware	hardware	NOUN
fuelectenerg-3144	1264	10	components	component	NOUN
fuelectenerg-3144	1264	11	like	like	ADP
fuelectenerg-3144	1264	12	classical	classical	ADJ
fuelectenerg-3144	1264	13	digital	digital	ADJ
fuelectenerg-3144	1264	14	logic	logic	NOUN
fuelectenerg-3144	1264	15	gates	gate	NOUN
fuelectenerg-3144	1264	16	;	;	PUNCT
fuelectenerg-3144	1264	17	instead	instead	ADV
fuelectenerg-3144	1264	18	,	,	PUNCT
fuelectenerg-3144	1264	19	they	they	PRON
fuelectenerg-3144	1264	20	are	be	AUX
fuelectenerg-3144	1264	21	manipulations	manipulation	NOUN
fuelectenerg-3144	1264	22	of	of	ADP
fuelectenerg-3144	1264	23	the	the	DET
fuelectenerg-3144	1264	24	physical	physical	ADJ
fuelectenerg-3144	1264	25	qubits	qubit	NOUN
fuelectenerg-3144	1264	26	,	,	PUNCT
fuelectenerg-3144	1264	27	consisting	consist	VERB
fuelectenerg-3144	1264	28	of	of	ADP
fuelectenerg-3144	1264	29	sequences	sequence	NOUN
fuelectenerg-3144	1264	30	of	of	ADP
fuelectenerg-3144	1264	31	fundamental	fundamental	ADJ
fuelectenerg-3144	1264	32	physical	physical	ADJ
fuelectenerg-3144	1264	33	operations	operation	NOUN
fuelectenerg-3144	1264	34	on	on	ADP
fuelectenerg-3144	1264	35	those	those	DET
fuelectenerg-3144	1264	36	qubits	qubit	NOUN
fuelectenerg-3144	1264	37	.	.	PUNCT
fuelectenerg-3144	1265	1	the	the	DET
fuelectenerg-3144	1265	2	quantum	quantum	ADJ
fuelectenerg-3144	1265	3	cost	cost	NOUN
fuelectenerg-3144	1265	4	of	of	ADP
fuelectenerg-3144	1265	5	a	a	DET
fuelectenerg-3144	1265	6	11to	11to	NOUN
fuelectenerg-3144	1265	7	be	be	AUX
fuelectenerg-3144	1265	8	more	more	ADV
fuelectenerg-3144	1265	9	precise	precise	ADJ
fuelectenerg-3144	1265	10	,	,	PUNCT
fuelectenerg-3144	1265	11	we	we	PRON
fuelectenerg-3144	1265	12	have	have	AUX
fuelectenerg-3144	1265	13	described	describe	VERB
fuelectenerg-3144	1265	14	not	not	PART
fuelectenerg-3144	1265	15	a	a	DET
fuelectenerg-3144	1265	16	single	single	ADJ
fuelectenerg-3144	1265	17	oracle	oracle	NOUN
fuelectenerg-3144	1265	18	but	but	CCONJ
fuelectenerg-3144	1265	19	a	a	DET
fuelectenerg-3144	1265	20	design	design	NOUN
fuelectenerg-3144	1265	21	according	accord	VERB
fuelectenerg-3144	1265	22	to	to	ADP
fuelectenerg-3144	1265	23	which	which	PRON
fuelectenerg-3144	1265	24	a	a	DET
fuelectenerg-3144	1265	25	whole	whole	ADJ
fuelectenerg-3144	1265	26	sequence	sequence	NOUN
fuelectenerg-3144	1265	27	of	of	ADP
fuelectenerg-3144	1265	28	oracles	oracle	NOUN
fuelectenerg-3144	1265	29	(	(	PUNCT
fuelectenerg-3144	1265	30	for	for	ADP
fuelectenerg-3144	1265	31	different	different	ADJ
fuelectenerg-3144	1265	32	thresholds	threshold	NOUN
fuelectenerg-3144	1265	33	)	)	PUNCT
fuelectenerg-3144	1265	34	can	can	AUX
fuelectenerg-3144	1265	35	be	be	AUX
fuelectenerg-3144	1265	36	generated	generate	VERB
fuelectenerg-3144	1265	37	for	for	ADP
fuelectenerg-3144	1265	38	any	any	DET
fuelectenerg-3144	1265	39	given	give	VERB
fuelectenerg-3144	1265	40	fsm	fsm	PROPN
fuelectenerg-3144	1265	41	.	.	PUNCT
fuelectenerg-3144	1266	1	this	this	DET
fuelectenerg-3144	1266	2	ability	ability	NOUN
fuelectenerg-3144	1266	3	to	to	PART
fuelectenerg-3144	1266	4	generate	generate	VERB
fuelectenerg-3144	1266	5	a	a	DET
fuelectenerg-3144	1266	6	sequence	sequence	NOUN
fuelectenerg-3144	1266	7	of	of	ADP
fuelectenerg-3144	1266	8	oracles	oracle	NOUN
fuelectenerg-3144	1266	9	is	be	AUX
fuelectenerg-3144	1266	10	exactly	exactly	ADV
fuelectenerg-3144	1266	11	what	what	PRON
fuelectenerg-3144	1266	12	we	we	PRON
fuelectenerg-3144	1266	13	need	need	VERB
fuelectenerg-3144	1266	14	,	,	PUNCT
fuelectenerg-3144	1266	15	as	as	SCONJ
fuelectenerg-3144	1266	16	discussed	discuss	VERB
fuelectenerg-3144	1266	17	in	in	ADP
fuelectenerg-3144	1266	18	section	section	NOUN
fuelectenerg-3144	1266	19	3.2	3.2	NUM
fuelectenerg-3144	1266	20	.	.	PUNCT
fuelectenerg-3144	1267	1	38	38	NUM
fuelectenerg-3144	1267	2	a	a	DET
fuelectenerg-3144	1267	3	b	b	NOUN
fuelectenerg-3144	1267	4	c	c	NOUN
fuelectenerg-3144	1267	5	d	d	NOUN
fuelectenerg-3144	1267	6	|0	|0	NUM
fuelectenerg-3144	1268	1	〉	〉	NUM
fuelectenerg-3144	1268	2	|0	|0	NUM
fuelectenerg-3144	1268	3	〉	〉	PROPN
fuelectenerg-3144	1268	4	|0	|0	NUM
fuelectenerg-3144	1268	5	〉	〉	PROPN
fuelectenerg-3144	1268	6	a	a	DET
fuelectenerg-3144	1268	7	∧	∧	PROPN
fuelectenerg-3144	1268	8	b	b	PROPN
fuelectenerg-3144	1268	9	∧	∧	PROPN
fuelectenerg-3144	1268	10	c	c	PROPN
fuelectenerg-3144	1268	11	∧	∧	PROPN
fuelectenerg-3144	1268	12	d	d	PROPN
fuelectenerg-3144	1268	13	figure	figure	NOUN
fuelectenerg-3144	1268	14	24	24	NUM
fuelectenerg-3144	1268	15	:	:	PUNCT
fuelectenerg-3144	1268	16	implementation	implementation	NOUN
fuelectenerg-3144	1268	17	of	of	ADP
fuelectenerg-3144	1268	18	a	a	DET
fuelectenerg-3144	1268	19	multiple	multiple	ADJ
fuelectenerg-3144	1268	20	-	-	PUNCT
fuelectenerg-3144	1268	21	control	control	NOUN
fuelectenerg-3144	1268	22	toffoli	toffoli	PROPN
fuelectenerg-3144	1268	23	gate	gate	VERB
fuelectenerg-3144	1268	24	with	with	ADP
fuelectenerg-3144	1268	25	quantum	quantum	NOUN
fuelectenerg-3144	1268	26	cost	cost	NOUN
fuelectenerg-3144	1268	27	scaling	scaling	NOUN
fuelectenerg-3144	1268	28	linearly	linearly	ADV
fuelectenerg-3144	1268	29	with	with	ADP
fuelectenerg-3144	1268	30	gate	gate	NOUN
fuelectenerg-3144	1268	31	size	size	NOUN
fuelectenerg-3144	1268	32	.	.	PUNCT
fuelectenerg-3144	1269	1	quantum	quantum	PROPN
fuelectenerg-3144	1269	2	gate	gate	NOUN
fuelectenerg-3144	1269	3	is	be	AUX
fuelectenerg-3144	1269	4	then	then	ADV
fuelectenerg-3144	1269	5	the	the	DET
fuelectenerg-3144	1269	6	number	number	NOUN
fuelectenerg-3144	1269	7	of	of	ADP
fuelectenerg-3144	1269	8	physical	physical	ADJ
fuelectenerg-3144	1269	9	operations	operation	NOUN
fuelectenerg-3144	1269	10	required	require	VERB
fuelectenerg-3144	1269	11	to	to	PART
fuelectenerg-3144	1269	12	implement	implement	VERB
fuelectenerg-3144	1269	13	that	that	DET
fuelectenerg-3144	1269	14	gate	gate	NOUN
fuelectenerg-3144	1269	15	,	,	PUNCT
fuelectenerg-3144	1269	16	which	which	PRON
fuelectenerg-3144	1269	17	roughly	roughly	ADV
fuelectenerg-3144	1269	18	corresponds	correspond	VERB
fuelectenerg-3144	1269	19	to	to	ADP
fuelectenerg-3144	1269	20	the	the	DET
fuelectenerg-3144	1269	21	run	run	NOUN
fuelectenerg-3144	1269	22	time	time	NOUN
fuelectenerg-3144	1269	23	complexity	complexity	NOUN
fuelectenerg-3144	1269	24	of	of	ADP
fuelectenerg-3144	1269	25	the	the	DET
fuelectenerg-3144	1269	26	gate	gate	NOUN
fuelectenerg-3144	1269	27	if	if	SCONJ
fuelectenerg-3144	1269	28	we	we	PRON
fuelectenerg-3144	1269	29	assume	assume	VERB
fuelectenerg-3144	1269	30	that	that	SCONJ
fuelectenerg-3144	1269	31	each	each	DET
fuelectenerg-3144	1269	32	fundamental	fundamental	ADJ
fuelectenerg-3144	1269	33	physical	physical	ADJ
fuelectenerg-3144	1269	34	operation	operation	NOUN
fuelectenerg-3144	1269	35	requires	require	VERB
fuelectenerg-3144	1269	36	approximately	approximately	ADV
fuelectenerg-3144	1269	37	the	the	DET
fuelectenerg-3144	1269	38	same	same	ADJ
fuelectenerg-3144	1269	39	amount	amount	NOUN
fuelectenerg-3144	1269	40	of	of	ADP
fuelectenerg-3144	1269	41	time	time	NOUN
fuelectenerg-3144	1269	42	.	.	PUNCT
fuelectenerg-3144	1270	1	authors	author	NOUN
fuelectenerg-3144	1270	2	in	in	ADP
fuelectenerg-3144	1270	3	the	the	DET
fuelectenerg-3144	1270	4	quantum	quantum	NOUN
fuelectenerg-3144	1270	5	computing	compute	VERB
fuelectenerg-3144	1270	6	literature	literature	NOUN
fuelectenerg-3144	1270	7	have	have	AUX
fuelectenerg-3144	1270	8	proposed	propose	VERB
fuelectenerg-3144	1270	9	a	a	DET
fuelectenerg-3144	1270	10	variety	variety	NOUN
fuelectenerg-3144	1270	11	of	of	ADP
fuelectenerg-3144	1270	12	quantum	quantum	ADJ
fuelectenerg-3144	1270	13	cost	cost	NOUN
fuelectenerg-3144	1270	14	models	model	NOUN
fuelectenerg-3144	1270	15	,	,	PUNCT
fuelectenerg-3144	1270	16	based	base	VERB
fuelectenerg-3144	1270	17	on	on	ADP
fuelectenerg-3144	1270	18	differing	differ	VERB
fuelectenerg-3144	1270	19	assumptions	assumption	NOUN
fuelectenerg-3144	1270	20	about	about	ADP
fuelectenerg-3144	1270	21	the	the	DET
fuelectenerg-3144	1270	22	physical	physical	ADJ
fuelectenerg-3144	1270	23	implementation	implementation	NOUN
fuelectenerg-3144	1270	24	of	of	ADP
fuelectenerg-3144	1270	25	a	a	DET
fuelectenerg-3144	1270	26	quantum	quantum	NOUN
fuelectenerg-3144	1270	27	computing	computing	NOUN
fuelectenerg-3144	1270	28	system	system	NOUN
fuelectenerg-3144	1270	29	and	and	CCONJ
fuelectenerg-3144	1270	30	the	the	DET
fuelectenerg-3144	1270	31	fundamental	fundamental	ADJ
fuelectenerg-3144	1270	32	operations	operation	NOUN
fuelectenerg-3144	1270	33	available	available	ADJ
fuelectenerg-3144	1270	34	therein	therein	ADV
fuelectenerg-3144	1270	35	.	.	PUNCT
fuelectenerg-3144	1271	1	for	for	ADP
fuelectenerg-3144	1271	2	instance	instance	NOUN
fuelectenerg-3144	1271	3	,	,	PUNCT
fuelectenerg-3144	1271	4	a	a	DET
fuelectenerg-3144	1271	5	well	well	ADV
fuelectenerg-3144	1271	6	-	-	PUNCT
fuelectenerg-3144	1271	7	known	know	VERB
fuelectenerg-3144	1271	8	result	result	NOUN
fuelectenerg-3144	1271	9	due	due	ADP
fuelectenerg-3144	1271	10	to	to	PART
fuelectenerg-3144	1271	11	barenco	barenco	VERB
fuelectenerg-3144	1271	12	et	et	NOUN
fuelectenerg-3144	1271	13	al	al	PROPN
fuelectenerg-3144	1271	14	.	.	PUNCT
fuelectenerg-3144	1272	1	[	[	X
fuelectenerg-3144	1272	2	20	20	NUM
fuelectenerg-3144	1272	3	]	]	PUNCT
fuelectenerg-3144	1272	4	suggests12	suggests12	NOUN
fuelectenerg-3144	1272	5	that	that	SCONJ
fuelectenerg-3144	1272	6	the	the	DET
fuelectenerg-3144	1272	7	quantum	quantum	ADJ
fuelectenerg-3144	1272	8	cost	cost	NOUN
fuelectenerg-3144	1272	9	of	of	ADP
fuelectenerg-3144	1272	10	a	a	DET
fuelectenerg-3144	1272	11	multiple	multiple	ADJ
fuelectenerg-3144	1272	12	-	-	PUNCT
fuelectenerg-3144	1272	13	control	control	NOUN
fuelectenerg-3144	1272	14	toffoli	toffoli	NOUN
fuelectenerg-3144	1272	15	may	may	AUX
fuelectenerg-3144	1272	16	be	be	AUX
fuelectenerg-3144	1272	17	up	up	ADP
fuelectenerg-3144	1272	18	to	to	ADP
fuelectenerg-3144	1272	19	o(2n	o(2n	NUM
fuelectenerg-3144	1272	20	)	)	PUNCT
fuelectenerg-3144	1272	21	,	,	PUNCT
fuelectenerg-3144	1272	22	where	where	SCONJ
fuelectenerg-3144	1272	23	n	n	PRON
fuelectenerg-3144	1272	24	is	be	AUX
fuelectenerg-3144	1272	25	the	the	DET
fuelectenerg-3144	1272	26	size	size	NOUN
fuelectenerg-3144	1272	27	of	of	ADP
fuelectenerg-3144	1272	28	the	the	DET
fuelectenerg-3144	1272	29	gate	gate	NOUN
fuelectenerg-3144	1272	30	.	.	PUNCT
fuelectenerg-3144	1273	1	however	however	ADV
fuelectenerg-3144	1273	2	,	,	PUNCT
fuelectenerg-3144	1273	3	this	this	DET
fuelectenerg-3144	1273	4	result	result	NOUN
fuelectenerg-3144	1273	5	assumes	assume	VERB
fuelectenerg-3144	1273	6	that	that	SCONJ
fuelectenerg-3144	1273	7	no	no	DET
fuelectenerg-3144	1273	8	ancilla	ancilla	NOUN
fuelectenerg-3144	1273	9	qubits	qubit	NOUN
fuelectenerg-3144	1273	10	are	be	AUX
fuelectenerg-3144	1273	11	used	use	VERB
fuelectenerg-3144	1273	12	.	.	PUNCT
fuelectenerg-3144	1274	1	with	with	ADP
fuelectenerg-3144	1274	2	the	the	DET
fuelectenerg-3144	1274	3	use	use	NOUN
fuelectenerg-3144	1274	4	of	of	ADP
fuelectenerg-3144	1274	5	ancilla	ancilla	NOUN
fuelectenerg-3144	1274	6	qubits	qubit	NOUN
fuelectenerg-3144	1274	7	,	,	PUNCT
fuelectenerg-3144	1274	8	it	it	PRON
fuelectenerg-3144	1274	9	is	be	AUX
fuelectenerg-3144	1274	10	easy	easy	ADJ
fuelectenerg-3144	1274	11	to	to	PART
fuelectenerg-3144	1274	12	see	see	VERB
fuelectenerg-3144	1274	13	that	that	DET
fuelectenerg-3144	1274	14	multiple	multiple	ADJ
fuelectenerg-3144	1274	15	-	-	PUNCT
fuelectenerg-3144	1274	16	control	control	NOUN
fuelectenerg-3144	1274	17	toffoli	toffoli	NOUN
fuelectenerg-3144	1274	18	gates	gate	NOUN
fuelectenerg-3144	1274	19	of	of	ADP
fuelectenerg-3144	1274	20	arbitrary	arbitrary	ADJ
fuelectenerg-3144	1274	21	size	size	NOUN
fuelectenerg-3144	1274	22	may	may	AUX
fuelectenerg-3144	1274	23	be	be	AUX
fuelectenerg-3144	1274	24	implemented	implement	VERB
fuelectenerg-3144	1274	25	with	with	ADP
fuelectenerg-3144	1274	26	a	a	DET
fuelectenerg-3144	1274	27	quantum	quantum	ADJ
fuelectenerg-3144	1274	28	cost	cost	NOUN
fuelectenerg-3144	1274	29	that	that	PRON
fuelectenerg-3144	1274	30	is	be	AUX
fuelectenerg-3144	1274	31	linear	linear	ADJ
fuelectenerg-3144	1274	32	with	with	ADP
fuelectenerg-3144	1274	33	respect	respect	NOUN
fuelectenerg-3144	1274	34	to	to	ADP
fuelectenerg-3144	1274	35	the	the	DET
fuelectenerg-3144	1274	36	size	size	NOUN
fuelectenerg-3144	1274	37	of	of	ADP
fuelectenerg-3144	1274	38	the	the	DET
fuelectenerg-3144	1274	39	gate	gate	NOUN
fuelectenerg-3144	1274	40	.	.	PUNCT
fuelectenerg-3144	1275	1	a	a	DET
fuelectenerg-3144	1275	2	cascade	cascade	NOUN
fuelectenerg-3144	1275	3	of	of	ADP
fuelectenerg-3144	1275	4	toffoli	toffoli	PROPN
fuelectenerg-3144	1275	5	gates	gate	NOUN
fuelectenerg-3144	1275	6	,	,	PUNCT
fuelectenerg-3144	1275	7	as	as	SCONJ
fuelectenerg-3144	1275	8	shown	show	VERB
fuelectenerg-3144	1275	9	in	in	ADP
fuelectenerg-3144	1275	10	figure	figure	NOUN
fuelectenerg-3144	1275	11	24	24	NUM
fuelectenerg-3144	1275	12	,	,	PUNCT
fuelectenerg-3144	1275	13	accomplishes	accomplish	VERB
fuelectenerg-3144	1275	14	this	this	DET
fuelectenerg-3144	1275	15	task	task	NOUN
fuelectenerg-3144	1275	16	.	.	PUNCT
fuelectenerg-3144	1276	1	throughout	throughout	ADP
fuelectenerg-3144	1276	2	the	the	DET
fuelectenerg-3144	1276	3	following	follow	VERB
fuelectenerg-3144	1276	4	analysis	analysis	NOUN
fuelectenerg-3144	1276	5	,	,	PUNCT
fuelectenerg-3144	1276	6	we	we	PRON
fuelectenerg-3144	1276	7	will	will	AUX
fuelectenerg-3144	1276	8	assume	assume	VERB
fuelectenerg-3144	1276	9	that	that	SCONJ
fuelectenerg-3144	1276	10	an	an	DET
fuelectenerg-3144	1276	11	arbitrary	arbitrary	ADJ
fuelectenerg-3144	1276	12	number	number	NOUN
fuelectenerg-3144	1276	13	of	of	ADP
fuelectenerg-3144	1276	14	ancilla	ancilla	PROPN
fuelectenerg-3144	1276	15	qubits	qubit	NOUN
fuelectenerg-3144	1276	16	are	be	AUX
fuelectenerg-3144	1276	17	available	available	ADJ
fuelectenerg-3144	1276	18	,	,	PUNCT
fuelectenerg-3144	1276	19	and	and	CCONJ
fuelectenerg-3144	1276	20	therefore	therefore	ADV
fuelectenerg-3144	1276	21	the	the	DET
fuelectenerg-3144	1276	22	quantum	quantum	ADJ
fuelectenerg-3144	1276	23	cost	cost	NOUN
fuelectenerg-3144	1276	24	of	of	ADP
fuelectenerg-3144	1276	25	a	a	DET
fuelectenerg-3144	1276	26	multiple	multiple	ADJ
fuelectenerg-3144	1276	27	-	-	PUNCT
fuelectenerg-3144	1276	28	control	control	NOUN
fuelectenerg-3144	1276	29	toffoli	toffoli	PROPN
fuelectenerg-3144	1276	30	gate	gate	NOUN
fuelectenerg-3144	1276	31	is	be	AUX
fuelectenerg-3144	1276	32	linear	linear	ADJ
fuelectenerg-3144	1276	33	with	with	ADP
fuelectenerg-3144	1276	34	respect	respect	NOUN
fuelectenerg-3144	1276	35	to	to	ADP
fuelectenerg-3144	1276	36	the	the	DET
fuelectenerg-3144	1276	37	gate	gate	NOUN
fuelectenerg-3144	1276	38	’s	’s	PART
fuelectenerg-3144	1276	39	size	size	NOUN
fuelectenerg-3144	1276	40	.	.	PUNCT
fuelectenerg-3144	1277	1	we	we	PRON
fuelectenerg-3144	1277	2	make	make	VERB
fuelectenerg-3144	1277	3	this	this	DET
fuelectenerg-3144	1277	4	assumption	assumption	NOUN
fuelectenerg-3144	1277	5	as	as	SCONJ
fuelectenerg-3144	1277	6	it	it	PRON
fuelectenerg-3144	1277	7	simplifies	simplify	VERB
fuelectenerg-3144	1277	8	our	our	PRON
fuelectenerg-3144	1277	9	calculations	calculation	NOUN
fuelectenerg-3144	1277	10	and	and	CCONJ
fuelectenerg-3144	1277	11	is	be	AUX
fuelectenerg-3144	1277	12	most	most	ADV
fuelectenerg-3144	1277	13	conducive	conducive	ADJ
fuelectenerg-3144	1277	14	to	to	ADP
fuelectenerg-3144	1277	15	our	our	PRON
fuelectenerg-3144	1277	16	goal	goal	NOUN
fuelectenerg-3144	1277	17	of	of	ADP
fuelectenerg-3144	1277	18	obtaining	obtain	VERB
fuelectenerg-3144	1277	19	a	a	DET
fuelectenerg-3144	1277	20	rough	rough	ADJ
fuelectenerg-3144	1277	21	estimate	estimate	NOUN
fuelectenerg-3144	1277	22	of	of	ADP
fuelectenerg-3144	1277	23	the	the	DET
fuelectenerg-3144	1277	24	run	run	NOUN
fuelectenerg-3144	1277	25	time	time	NOUN
fuelectenerg-3144	1277	26	complexity	complexity	NOUN
fuelectenerg-3144	1277	27	of	of	ADP
fuelectenerg-3144	1277	28	our	our	PRON
fuelectenerg-3144	1277	29	proposed	propose	VERB
fuelectenerg-3144	1277	30	quantum	quantum	ADJ
fuelectenerg-3144	1277	31	algorithm	algorithm	NOUN
fuelectenerg-3144	1277	32	.	.	PUNCT
fuelectenerg-3144	1278	1	the	the	DET
fuelectenerg-3144	1278	2	question	question	NOUN
fuelectenerg-3144	1278	3	of	of	ADP
fuelectenerg-3144	1278	4	how	how	SCONJ
fuelectenerg-3144	1278	5	the	the	DET
fuelectenerg-3144	1278	6	run	run	NOUN
fuelectenerg-3144	1278	7	time	time	NOUN
fuelectenerg-3144	1278	8	complexity	complexity	NOUN
fuelectenerg-3144	1278	9	varies	vary	VERB
fuelectenerg-3144	1278	10	in	in	ADP
fuelectenerg-3144	1278	11	other	other	ADJ
fuelectenerg-3144	1278	12	quantum	quantum	ADJ
fuelectenerg-3144	1278	13	cost	cost	NOUN
fuelectenerg-3144	1278	14	models	model	NOUN
fuelectenerg-3144	1278	15	is	be	AUX
fuelectenerg-3144	1278	16	an	an	DET
fuelectenerg-3144	1278	17	interesting	interesting	ADJ
fuelectenerg-3144	1278	18	one	one	NOUN
fuelectenerg-3144	1278	19	,	,	PUNCT
fuelectenerg-3144	1278	20	but	but	CCONJ
fuelectenerg-3144	1278	21	outside	outside	ADP
fuelectenerg-3144	1278	22	the	the	DET
fuelectenerg-3144	1278	23	scope	scope	NOUN
fuelectenerg-3144	1278	24	of	of	ADP
fuelectenerg-3144	1278	25	the	the	DET
fuelectenerg-3144	1278	26	present	present	ADJ
fuelectenerg-3144	1278	27	paper	paper	NOUN
fuelectenerg-3144	1278	28	.	.	PUNCT
fuelectenerg-3144	1279	1	we	we	PRON
fuelectenerg-3144	1279	2	leave	leave	VERB
fuelectenerg-3144	1279	3	further	further	ADJ
fuelectenerg-3144	1279	4	investigation	investigation	NOUN
fuelectenerg-3144	1279	5	of	of	ADP
fuelectenerg-3144	1279	6	this	this	DET
fuelectenerg-3144	1279	7	question	question	NOUN
fuelectenerg-3144	1279	8	open	open	ADJ
fuelectenerg-3144	1279	9	for	for	ADP
fuelectenerg-3144	1279	10	future	future	ADJ
fuelectenerg-3144	1279	11	work	work	NOUN
fuelectenerg-3144	1279	12	.	.	PUNCT
fuelectenerg-3144	1280	1	our	our	PRON
fuelectenerg-3144	1280	2	algorithm	algorithm	NOUN
fuelectenerg-3144	1280	3	operates	operate	VERB
fuelectenerg-3144	1280	4	under	under	ADP
fuelectenerg-3144	1280	5	the	the	DET
fuelectenerg-3144	1280	6	condition	condition	NOUN
fuelectenerg-3144	1280	7	that	that	SCONJ
fuelectenerg-3144	1280	8	the	the	DET
fuelectenerg-3144	1280	9	numbers	number	NOUN
fuelectenerg-3144	1280	10	of	of	ADP
fuelectenerg-3144	1280	11	states	state	NOUN
fuelectenerg-3144	1280	12	and	and	CCONJ
fuelectenerg-3144	1280	13	input	input	NOUN
fuelectenerg-3144	1280	14	values	value	NOUN
fuelectenerg-3144	1280	15	of	of	ADP
fuelectenerg-3144	1280	16	the	the	DET
fuelectenerg-3144	1280	17	fsm	fsm	PROPN
fuelectenerg-3144	1280	18	must	must	AUX
fuelectenerg-3144	1280	19	both	both	PRON
fuelectenerg-3144	1280	20	be	be	AUX
fuelectenerg-3144	1280	21	powers	power	NOUN
fuelectenerg-3144	1280	22	of	of	ADP
fuelectenerg-3144	1280	23	two	two	NUM
fuelectenerg-3144	1280	24	.	.	PUNCT
fuelectenerg-3144	1281	1	let	let	VERB
fuelectenerg-3144	1281	2	us	we	PRON
fuelectenerg-3144	1281	3	denote	denote	VERB
fuelectenerg-3144	1281	4	the	the	DET
fuelectenerg-3144	1281	5	number	number	NOUN
fuelectenerg-3144	1281	6	of	of	ADP
fuelectenerg-3144	1281	7	states	state	NOUN
fuelectenerg-3144	1281	8	by	by	ADP
fuelectenerg-3144	1281	9	ns	ns	ADJ
fuelectenerg-3144	1281	10	and	and	CCONJ
fuelectenerg-3144	1281	11	the	the	DET
fuelectenerg-3144	1281	12	number	number	NOUN
fuelectenerg-3144	1281	13	of	of	ADP
fuelectenerg-3144	1281	14	input	input	NOUN
fuelectenerg-3144	1281	15	values	value	NOUN
fuelectenerg-3144	1281	16	by	by	ADP
fuelectenerg-3144	1281	17	ni	ni	PROPN
fuelectenerg-3144	1281	18	.	.	PROPN
fuelectenerg-3144	1281	19	then	then	ADV
fuelectenerg-3144	1281	20	,	,	PUNCT
fuelectenerg-3144	1281	21	ns	ns	PROPN
fuelectenerg-3144	1281	22	=	=	PROPN
fuelectenerg-3144	1281	23	2ns	2ns	NOUN
fuelectenerg-3144	1281	24	and	and	CCONJ
fuelectenerg-3144	1281	25	ni	ni	PROPN
fuelectenerg-3144	1281	26	=	=	PROPN
fuelectenerg-3144	1281	27	2ni	2ni	PROPN
fuelectenerg-3144	1281	28	for	for	ADP
fuelectenerg-3144	1281	29	some	some	DET
fuelectenerg-3144	1281	30	nonnegative	nonnegative	ADJ
fuelectenerg-3144	1281	31	integers	integer	NOUN
fuelectenerg-3144	1281	32	ns	ns	ADJ
fuelectenerg-3144	1281	33	and	and	CCONJ
fuelectenerg-3144	1281	34	ni	ni	NOUN
fuelectenerg-3144	1281	35	,	,	PUNCT
fuelectenerg-3144	1281	36	where	where	SCONJ
fuelectenerg-3144	1281	37	ns	ns	NUM
fuelectenerg-3144	1281	38	and	and	CCONJ
fuelectenerg-3144	1281	39	ni	ni	PROPN
fuelectenerg-3144	1281	40	are	be	AUX
fuelectenerg-3144	1281	41	respectively	respectively	ADV
fuelectenerg-3144	1281	42	the	the	DET
fuelectenerg-3144	1281	43	number	number	NOUN
fuelectenerg-3144	1281	44	of	of	ADP
fuelectenerg-3144	1281	45	state	state	NOUN
fuelectenerg-3144	1281	46	and	and	CCONJ
fuelectenerg-3144	1281	47	input	input	NOUN
fuelectenerg-3144	1281	48	variables	variable	NOUN
fuelectenerg-3144	1281	49	.	.	PUNCT
fuelectenerg-3144	1282	1	conversely	conversely	ADV
fuelectenerg-3144	1282	2	,	,	PUNCT
fuelectenerg-3144	1282	3	ns	ns	NUM
fuelectenerg-3144	1282	4	=	=	NOUN
fuelectenerg-3144	1282	5	log2	log2	PROPN
fuelectenerg-3144	1282	6	ns	ns	NUM
fuelectenerg-3144	1282	7	=	=	NOUN
fuelectenerg-3144	1282	8	o(logns	o(logn	NOUN
fuelectenerg-3144	1282	9	)	)	PUNCT
fuelectenerg-3144	1282	10	andni	andni	PROPN
fuelectenerg-3144	1282	11	=	=	SYM
fuelectenerg-3144	1282	12	log2	log2	PROPN
fuelectenerg-3144	1282	13	ni	ni	PROPN
fuelectenerg-3144	1282	14	=	=	PROPN
fuelectenerg-3144	1282	15	o(logni	o(logni	NOUN
fuelectenerg-3144	1282	16	)	)	PUNCT
fuelectenerg-3144	1282	17	.	.	PUNCT
fuelectenerg-3144	1283	1	we	we	PRON
fuelectenerg-3144	1283	2	first	first	PROPN
fuelectenerg-3144	1283	3	12we	12we	NUM
fuelectenerg-3144	1283	4	say	say	VERB
fuelectenerg-3144	1283	5	“	"	PUNCT
fuelectenerg-3144	1283	6	suggests	suggest	VERB
fuelectenerg-3144	1283	7	”	"	PUNCT
fuelectenerg-3144	1283	8	because	because	SCONJ
fuelectenerg-3144	1283	9	,	,	PUNCT
fuelectenerg-3144	1283	10	although	although	SCONJ
fuelectenerg-3144	1283	11	the	the	DET
fuelectenerg-3144	1283	12	results	result	NOUN
fuelectenerg-3144	1283	13	of	of	ADP
fuelectenerg-3144	1283	14	barenco	barenco	NOUN
fuelectenerg-3144	1283	15	et	et	PROPN
fuelectenerg-3144	1283	16	al	al	PROPN
fuelectenerg-3144	1283	17	.	.	PROPN
fuelectenerg-3144	1283	18	are	be	AUX
fuelectenerg-3144	1283	19	widely	widely	ADV
fuelectenerg-3144	1283	20	used	use	VERB
fuelectenerg-3144	1283	21	throughout	throughout	ADP
fuelectenerg-3144	1283	22	the	the	DET
fuelectenerg-3144	1283	23	literature	literature	NOUN
fuelectenerg-3144	1283	24	as	as	ADP
fuelectenerg-3144	1283	25	a	a	DET
fuelectenerg-3144	1283	26	standard	standard	ADJ
fuelectenerg-3144	1283	27	quantum	quantum	ADJ
fuelectenerg-3144	1283	28	cost	cost	NOUN
fuelectenerg-3144	1283	29	function	function	NOUN
fuelectenerg-3144	1283	30	for	for	ADP
fuelectenerg-3144	1283	31	multiple	multiple	ADJ
fuelectenerg-3144	1283	32	-	-	PUNCT
fuelectenerg-3144	1283	33	control	control	NOUN
fuelectenerg-3144	1283	34	toffoli	toffoli	PROPN
fuelectenerg-3144	1283	35	gates	gate	NOUN
fuelectenerg-3144	1283	36	,	,	PUNCT
fuelectenerg-3144	1283	37	we	we	PRON
fuelectenerg-3144	1283	38	do	do	AUX
fuelectenerg-3144	1283	39	not	not	PART
fuelectenerg-3144	1283	40	know	know	VERB
fuelectenerg-3144	1283	41	of	of	ADP
fuelectenerg-3144	1283	42	a	a	DET
fuelectenerg-3144	1283	43	conclusive	conclusive	ADJ
fuelectenerg-3144	1283	44	proof	proof	NOUN
fuelectenerg-3144	1283	45	that	that	SCONJ
fuelectenerg-3144	1283	46	it	it	PRON
fuelectenerg-3144	1283	47	is	be	AUX
fuelectenerg-3144	1283	48	impossible	impossible	ADJ
fuelectenerg-3144	1283	49	to	to	PART
fuelectenerg-3144	1283	50	implement	implement	VERB
fuelectenerg-3144	1283	51	a	a	DET
fuelectenerg-3144	1283	52	multiple	multiple	ADJ
fuelectenerg-3144	1283	53	-	-	PUNCT
fuelectenerg-3144	1283	54	control	control	NOUN
fuelectenerg-3144	1283	55	toffoli	toffoli	PROPN
fuelectenerg-3144	1283	56	gate	gate	VERB
fuelectenerg-3144	1283	57	with	with	ADP
fuelectenerg-3144	1283	58	lower	low	ADJ
fuelectenerg-3144	1283	59	cost	cost	NOUN
fuelectenerg-3144	1283	60	complexity	complexity	NOUN
fuelectenerg-3144	1283	61	(	(	PUNCT
fuelectenerg-3144	1283	62	assuming	assume	VERB
fuelectenerg-3144	1283	63	that	that	SCONJ
fuelectenerg-3144	1283	64	no	no	DET
fuelectenerg-3144	1283	65	ancilla	ancilla	NOUN
fuelectenerg-3144	1283	66	qubits	qubit	NOUN
fuelectenerg-3144	1283	67	are	be	AUX
fuelectenerg-3144	1283	68	used	use	VERB
fuelectenerg-3144	1283	69	)	)	PUNCT
fuelectenerg-3144	1283	70	.	.	PUNCT
fuelectenerg-3144	1284	1	in	in	ADP
fuelectenerg-3144	1284	2	any	any	DET
fuelectenerg-3144	1284	3	case	case	NOUN
fuelectenerg-3144	1284	4	,	,	PUNCT
fuelectenerg-3144	1284	5	our	our	PRON
fuelectenerg-3144	1284	6	results	result	NOUN
fuelectenerg-3144	1284	7	are	be	AUX
fuelectenerg-3144	1284	8	unaffected	unaffected	ADJ
fuelectenerg-3144	1284	9	since	since	SCONJ
fuelectenerg-3144	1284	10	we	we	PRON
fuelectenerg-3144	1284	11	assume	assume	VERB
fuelectenerg-3144	1284	12	instead	instead	ADV
fuelectenerg-3144	1284	13	that	that	SCONJ
fuelectenerg-3144	1284	14	ancilla	ancilla	PROPN
fuelectenerg-3144	1284	15	qubits	qubit	NOUN
fuelectenerg-3144	1284	16	are	be	AUX
fuelectenerg-3144	1284	17	used	use	VERB
fuelectenerg-3144	1284	18	to	to	PART
fuelectenerg-3144	1284	19	implement	implement	VERB
fuelectenerg-3144	1284	20	multiple	multiple	ADJ
fuelectenerg-3144	1284	21	-	-	PUNCT
fuelectenerg-3144	1284	22	control	control	NOUN
fuelectenerg-3144	1284	23	toffoli	toffoli	NOUN
fuelectenerg-3144	1284	24	gates	gate	VERB
fuelectenerg-3144	1284	25	with	with	ADP
fuelectenerg-3144	1284	26	o(n	o(n	NOUN
fuelectenerg-3144	1284	27	)	)	PUNCT
fuelectenerg-3144	1284	28	quantum	quantum	ADJ
fuelectenerg-3144	1284	29	cost	cost	NOUN
fuelectenerg-3144	1284	30	,	,	PUNCT
fuelectenerg-3144	1284	31	as	as	SCONJ
fuelectenerg-3144	1284	32	illustrated	illustrate	VERB
fuelectenerg-3144	1284	33	in	in	ADP
fuelectenerg-3144	1284	34	the	the	DET
fuelectenerg-3144	1284	35	main	main	ADJ
fuelectenerg-3144	1284	36	text	text	NOUN
fuelectenerg-3144	1284	37	.	.	PUNCT
fuelectenerg-3144	1285	1	39	39	NUM
fuelectenerg-3144	1285	2	206	206	NUM
fuelectenerg-3144	1285	3	e.	e.	PROPN
fuelectenerg-3144	1285	4	tsai	tsai	PROPN
fuelectenerg-3144	1285	5	,	,	PUNCT
fuelectenerg-3144	1285	6	m.	m.	PROPN
fuelectenerg-3144	1285	7	perkowski	perkowski	PROPN
fuelectenerg-3144	1285	8	a	a	DET
fuelectenerg-3144	1285	9	quantum	quantum	ADJ
fuelectenerg-3144	1285	10	algorithm	algorithm	NOUN
fuelectenerg-3144	1285	11	for	for	ADP
fuelectenerg-3144	1285	12	automata	automata	NOUN
fuelectenerg-3144	1285	13	encoding	encode	VERB
fuelectenerg-3144	1285	14	207	207	NUM
fuelectenerg-3144	1285	15	a0	a0	NOUN
fuelectenerg-3144	1285	16	a1	a1	PROPN
fuelectenerg-3144	1285	17	a2	a2	PROPN
fuelectenerg-3144	1285	18	a3	a3	PROPN
fuelectenerg-3144	1285	19	a4	a4	PROPN
fuelectenerg-3144	1285	20	a5	a5	PROPN
fuelectenerg-3144	1285	21	|1	|1	PRON
fuelectenerg-3144	1285	22	〉	〉	PROPN
fuelectenerg-3144	1285	23	|0	|0	NUM
fuelectenerg-3144	1285	24	〉	〉	PROPN
fuelectenerg-3144	1285	25	|1	|1	X
fuelectenerg-3144	1285	26	〉	〉	NUM
fuelectenerg-3144	1285	27	figure	figure	NOUN
fuelectenerg-3144	1285	28	23	23	NUM
fuelectenerg-3144	1285	29	:	:	PUNCT
fuelectenerg-3144	1285	30	threshold	threshold	NOUN
fuelectenerg-3144	1285	31	circuit	circuit	NOUN
fuelectenerg-3144	1285	32	from	from	ADP
fuelectenerg-3144	1285	33	figure	figure	NOUN
fuelectenerg-3144	1285	34	20	20	NUM
fuelectenerg-3144	1285	35	with	with	ADP
fuelectenerg-3144	1285	36	mirror	mirror	NOUN
fuelectenerg-3144	1285	37	gates	gate	NOUN
fuelectenerg-3144	1285	38	.	.	PUNCT
fuelectenerg-3144	1286	1	the	the	DET
fuelectenerg-3144	1286	2	mirror	mirror	NOUN
fuelectenerg-3144	1286	3	gates	gate	NOUN
fuelectenerg-3144	1286	4	turn	turn	VERB
fuelectenerg-3144	1286	5	out	out	ADP
fuelectenerg-3144	1286	6	to	to	PART
fuelectenerg-3144	1286	7	be	be	AUX
fuelectenerg-3144	1286	8	unnecessary	unnecessary	ADJ
fuelectenerg-3144	1286	9	as	as	SCONJ
fuelectenerg-3144	1286	10	explained	explain	VERB
fuelectenerg-3144	1286	11	in	in	ADP
fuelectenerg-3144	1286	12	the	the	DET
fuelectenerg-3144	1286	13	main	main	ADJ
fuelectenerg-3144	1286	14	text	text	NOUN
fuelectenerg-3144	1286	15	.	.	PUNCT
fuelectenerg-3144	1287	1	fsm	fsm	PROPN
fuelectenerg-3144	1287	2	being	be	AUX
fuelectenerg-3144	1287	3	encoded	encode	VERB
fuelectenerg-3144	1287	4	,	,	PUNCT
fuelectenerg-3144	1287	5	but	but	CCONJ
fuelectenerg-3144	1287	6	are	be	AUX
fuelectenerg-3144	1287	7	independent	independent	ADJ
fuelectenerg-3144	1287	8	of	of	ADP
fuelectenerg-3144	1287	9	the	the	DET
fuelectenerg-3144	1287	10	chosen	choose	VERB
fuelectenerg-3144	1287	11	threshold	threshold	NOUN
fuelectenerg-3144	1287	12	;	;	PUNCT
fuelectenerg-3144	1287	13	thus	thus	ADV
fuelectenerg-3144	1287	14	,	,	PUNCT
fuelectenerg-3144	1287	15	they	they	PRON
fuelectenerg-3144	1287	16	remain	remain	VERB
fuelectenerg-3144	1287	17	unchanged	unchanged	ADJ
fuelectenerg-3144	1287	18	throughout	throughout	ADP
fuelectenerg-3144	1287	19	the	the	DET
fuelectenerg-3144	1287	20	entire	entire	ADJ
fuelectenerg-3144	1287	21	search	search	NOUN
fuelectenerg-3144	1287	22	procedure	procedure	NOUN
fuelectenerg-3144	1287	23	described	describe	VERB
fuelectenerg-3144	1287	24	in	in	ADP
fuelectenerg-3144	1287	25	section	section	NOUN
fuelectenerg-3144	1287	26	3.2	3.2	NUM
fuelectenerg-3144	1287	27	.	.	PUNCT
fuelectenerg-3144	1288	1	with	with	ADP
fuelectenerg-3144	1288	2	this	this	DET
fuelectenerg-3144	1288	3	oracle,11	oracle,11	NOUN
fuelectenerg-3144	1288	4	we	we	PRON
fuelectenerg-3144	1288	5	have	have	AUX
fuelectenerg-3144	1288	6	met	meet	VERB
fuelectenerg-3144	1288	7	the	the	DET
fuelectenerg-3144	1288	8	objective	objective	NOUN
fuelectenerg-3144	1288	9	stated	state	VERB
fuelectenerg-3144	1288	10	at	at	ADP
fuelectenerg-3144	1288	11	the	the	DET
fuelectenerg-3144	1288	12	end	end	NOUN
fuelectenerg-3144	1288	13	of	of	ADP
fuelectenerg-3144	1288	14	section	section	NOUN
fuelectenerg-3144	1288	15	3.2	3.2	NUM
fuelectenerg-3144	1288	16	and	and	CCONJ
fuelectenerg-3144	1288	17	therefore	therefore	ADV
fuelectenerg-3144	1288	18	,	,	PUNCT
fuelectenerg-3144	1288	19	the	the	DET
fuelectenerg-3144	1288	20	procedure	procedure	NOUN
fuelectenerg-3144	1288	21	described	describe	VERB
fuelectenerg-3144	1288	22	in	in	ADP
fuelectenerg-3144	1288	23	section	section	NOUN
fuelectenerg-3144	1288	24	3.2	3.2	NUM
fuelectenerg-3144	1288	25	gives	give	VERB
fuelectenerg-3144	1288	26	a	a	DET
fuelectenerg-3144	1288	27	complete	complete	ADJ
fuelectenerg-3144	1288	28	algorithm	algorithm	NOUN
fuelectenerg-3144	1288	29	for	for	ADP
fuelectenerg-3144	1288	30	finding	find	VERB
fuelectenerg-3144	1288	31	an	an	DET
fuelectenerg-3144	1288	32	exact	exact	ADJ
fuelectenerg-3144	1288	33	optimal	optimal	ADJ
fuelectenerg-3144	1288	34	encoding	encoding	NOUN
fuelectenerg-3144	1288	35	of	of	ADP
fuelectenerg-3144	1288	36	an	an	DET
fuelectenerg-3144	1288	37	fsm	fsm	NOUN
fuelectenerg-3144	1288	38	with	with	ADP
fuelectenerg-3144	1288	39	the	the	DET
fuelectenerg-3144	1288	40	help	help	NOUN
fuelectenerg-3144	1288	41	of	of	ADP
fuelectenerg-3144	1288	42	grover	grover	PROPN
fuelectenerg-3144	1288	43	’s	’s	PART
fuelectenerg-3144	1288	44	algorithm	algorithm	NOUN
fuelectenerg-3144	1288	45	.	.	PUNCT
fuelectenerg-3144	1289	1	6	6	NUM
fuelectenerg-3144	1289	2	run	run	NOUN
fuelectenerg-3144	1289	3	time	time	NOUN
fuelectenerg-3144	1289	4	complexity	complexity	NOUN
fuelectenerg-3144	1289	5	analysis	analysis	NOUN
fuelectenerg-3144	1289	6	6.1	6.1	NUM
fuelectenerg-3144	1289	7	run	run	NOUN
fuelectenerg-3144	1289	8	time	time	NOUN
fuelectenerg-3144	1289	9	complexity	complexity	NOUN
fuelectenerg-3144	1289	10	of	of	ADP
fuelectenerg-3144	1289	11	the	the	DET
fuelectenerg-3144	1289	12	proposed	propose	VERB
fuelectenerg-3144	1289	13	quantum	quantum	NOUN
fuelectenerg-3144	1289	14	algorithm	algorithm	NOUN
fuelectenerg-3144	1289	15	we	we	PRON
fuelectenerg-3144	1289	16	now	now	ADV
fuelectenerg-3144	1289	17	wish	wish	VERB
fuelectenerg-3144	1289	18	to	to	PART
fuelectenerg-3144	1289	19	determine	determine	VERB
fuelectenerg-3144	1289	20	the	the	DET
fuelectenerg-3144	1289	21	run	run	NOUN
fuelectenerg-3144	1289	22	time	time	NOUN
fuelectenerg-3144	1289	23	complexity	complexity	NOUN
fuelectenerg-3144	1289	24	of	of	ADP
fuelectenerg-3144	1289	25	our	our	PRON
fuelectenerg-3144	1289	26	proposed	propose	VERB
fuelectenerg-3144	1289	27	quantum	quantum	NOUN
fuelectenerg-3144	1289	28	algorithm	algorithm	NOUN
fuelectenerg-3144	1289	29	,	,	PUNCT
fuelectenerg-3144	1289	30	in	in	ADP
fuelectenerg-3144	1289	31	order	order	NOUN
fuelectenerg-3144	1289	32	to	to	PART
fuelectenerg-3144	1289	33	compare	compare	VERB
fuelectenerg-3144	1289	34	its	its	PRON
fuelectenerg-3144	1289	35	performance	performance	NOUN
fuelectenerg-3144	1289	36	against	against	ADP
fuelectenerg-3144	1289	37	that	that	PRON
fuelectenerg-3144	1289	38	of	of	ADP
fuelectenerg-3144	1289	39	an	an	DET
fuelectenerg-3144	1289	40	analogous	analogous	ADJ
fuelectenerg-3144	1289	41	exhaustive	exhaustive	ADJ
fuelectenerg-3144	1289	42	search	search	NOUN
fuelectenerg-3144	1289	43	-	-	PUNCT
fuelectenerg-3144	1289	44	based	base	VERB
fuelectenerg-3144	1289	45	classical	classical	ADJ
fuelectenerg-3144	1289	46	algorithm	algorithm	NOUN
fuelectenerg-3144	1289	47	for	for	ADP
fuelectenerg-3144	1289	48	the	the	DET
fuelectenerg-3144	1289	49	same	same	ADJ
fuelectenerg-3144	1289	50	problem	problem	NOUN
fuelectenerg-3144	1289	51	.	.	PUNCT
fuelectenerg-3144	1290	1	in	in	ADP
fuelectenerg-3144	1290	2	this	this	DET
fuelectenerg-3144	1290	3	determination	determination	NOUN
fuelectenerg-3144	1290	4	,	,	PUNCT
fuelectenerg-3144	1290	5	we	we	PRON
fuelectenerg-3144	1290	6	make	make	VERB
fuelectenerg-3144	1290	7	certain	certain	ADJ
fuelectenerg-3144	1290	8	simplifying	simplifying	NOUN
fuelectenerg-3144	1290	9	assumptions	assumption	NOUN
fuelectenerg-3144	1290	10	,	,	PUNCT
fuelectenerg-3144	1290	11	as	as	SCONJ
fuelectenerg-3144	1290	12	described	describe	VERB
fuelectenerg-3144	1290	13	below	below	ADV
fuelectenerg-3144	1290	14	.	.	PUNCT
fuelectenerg-3144	1291	1	these	these	DET
fuelectenerg-3144	1291	2	simplifications	simplification	NOUN
fuelectenerg-3144	1291	3	are	be	AUX
fuelectenerg-3144	1291	4	justified	justify	VERB
fuelectenerg-3144	1291	5	because	because	SCONJ
fuelectenerg-3144	1291	6	our	our	PRON
fuelectenerg-3144	1291	7	goal	goal	NOUN
fuelectenerg-3144	1291	8	is	be	AUX
fuelectenerg-3144	1291	9	not	not	PART
fuelectenerg-3144	1291	10	to	to	PART
fuelectenerg-3144	1291	11	perform	perform	VERB
fuelectenerg-3144	1291	12	the	the	DET
fuelectenerg-3144	1291	13	most	most	ADV
fuelectenerg-3144	1291	14	detailed	detailed	ADJ
fuelectenerg-3144	1291	15	and	and	CCONJ
fuelectenerg-3144	1291	16	nuanced	nuanced	ADJ
fuelectenerg-3144	1291	17	analysis	analysis	NOUN
fuelectenerg-3144	1291	18	possible	possible	ADJ
fuelectenerg-3144	1291	19	,	,	PUNCT
fuelectenerg-3144	1291	20	but	but	CCONJ
fuelectenerg-3144	1291	21	rather	rather	ADV
fuelectenerg-3144	1291	22	to	to	PART
fuelectenerg-3144	1291	23	show	show	VERB
fuelectenerg-3144	1291	24	that	that	SCONJ
fuelectenerg-3144	1291	25	our	our	PRON
fuelectenerg-3144	1291	26	proposed	propose	VERB
fuelectenerg-3144	1291	27	algorithm	algorithm	NOUN
fuelectenerg-3144	1291	28	can	can	AUX
fuelectenerg-3144	1291	29	reasonably	reasonably	ADV
fuelectenerg-3144	1291	30	be	be	AUX
fuelectenerg-3144	1291	31	expected	expect	VERB
fuelectenerg-3144	1291	32	to	to	PART
fuelectenerg-3144	1291	33	outperform	outperform	VERB
fuelectenerg-3144	1291	34	the	the	DET
fuelectenerg-3144	1291	35	classical	classical	ADJ
fuelectenerg-3144	1291	36	algorithm	algorithm	NOUN
fuelectenerg-3144	1291	37	.	.	PUNCT
fuelectenerg-3144	1292	1	when	when	SCONJ
fuelectenerg-3144	1292	2	computing	compute	VERB
fuelectenerg-3144	1292	3	the	the	DET
fuelectenerg-3144	1292	4	run	run	NOUN
fuelectenerg-3144	1292	5	time	time	NOUN
fuelectenerg-3144	1292	6	complexity	complexity	NOUN
fuelectenerg-3144	1292	7	of	of	ADP
fuelectenerg-3144	1292	8	a	a	DET
fuelectenerg-3144	1292	9	quantum	quantum	ADJ
fuelectenerg-3144	1292	10	circuit	circuit	NOUN
fuelectenerg-3144	1292	11	,	,	PUNCT
fuelectenerg-3144	1292	12	we	we	PRON
fuelectenerg-3144	1292	13	must	must	AUX
fuelectenerg-3144	1292	14	take	take	VERB
fuelectenerg-3144	1292	15	into	into	ADP
fuelectenerg-3144	1292	16	account	account	NOUN
fuelectenerg-3144	1292	17	the	the	DET
fuelectenerg-3144	1292	18	differing	differ	VERB
fuelectenerg-3144	1292	19	quantum	quantum	ADJ
fuelectenerg-3144	1292	20	cost	cost	NOUN
fuelectenerg-3144	1292	21	[	[	X
fuelectenerg-3144	1292	22	19	19	NUM
fuelectenerg-3144	1292	23	]	]	PUNCT
fuelectenerg-3144	1292	24	of	of	ADP
fuelectenerg-3144	1292	25	the	the	DET
fuelectenerg-3144	1292	26	various	various	ADJ
fuelectenerg-3144	1292	27	quantum	quantum	NOUN
fuelectenerg-3144	1292	28	gates	gate	NOUN
fuelectenerg-3144	1292	29	used	use	VERB
fuelectenerg-3144	1292	30	in	in	ADP
fuelectenerg-3144	1292	31	the	the	DET
fuelectenerg-3144	1292	32	circuit	circuit	NOUN
fuelectenerg-3144	1292	33	—	—	PUNCT
fuelectenerg-3144	1292	34	in	in	ADP
fuelectenerg-3144	1292	35	our	our	PRON
fuelectenerg-3144	1292	36	case	case	NOUN
fuelectenerg-3144	1292	37	,	,	PUNCT
fuelectenerg-3144	1292	38	these	these	PRON
fuelectenerg-3144	1292	39	are	be	AUX
fuelectenerg-3144	1292	40	feynman	feynman	PROPN
fuelectenerg-3144	1292	41	,	,	PUNCT
fuelectenerg-3144	1292	42	toffoli	toffoli	PROPN
fuelectenerg-3144	1292	43	,	,	PUNCT
fuelectenerg-3144	1292	44	and	and	CCONJ
fuelectenerg-3144	1292	45	multiple	multiple	ADJ
fuelectenerg-3144	1292	46	-	-	PUNCT
fuelectenerg-3144	1292	47	control	control	NOUN
fuelectenerg-3144	1292	48	toffoli	toffoli	NOUN
fuelectenerg-3144	1292	49	gates	gate	VERB
fuelectenerg-3144	1292	50	.	.	PUNCT
fuelectenerg-3144	1293	1	we	we	PRON
fuelectenerg-3144	1293	2	recall	recall	VERB
fuelectenerg-3144	1293	3	that	that	SCONJ
fuelectenerg-3144	1293	4	quantum	quantum	NOUN
fuelectenerg-3144	1293	5	gates	gate	NOUN
fuelectenerg-3144	1293	6	are	be	AUX
fuelectenerg-3144	1293	7	not	not	PART
fuelectenerg-3144	1293	8	physical	physical	ADJ
fuelectenerg-3144	1293	9	hardware	hardware	NOUN
fuelectenerg-3144	1293	10	components	component	NOUN
fuelectenerg-3144	1293	11	like	like	ADP
fuelectenerg-3144	1293	12	classical	classical	ADJ
fuelectenerg-3144	1293	13	digital	digital	ADJ
fuelectenerg-3144	1293	14	logic	logic	NOUN
fuelectenerg-3144	1293	15	gates	gate	NOUN
fuelectenerg-3144	1293	16	;	;	PUNCT
fuelectenerg-3144	1293	17	instead	instead	ADV
fuelectenerg-3144	1293	18	,	,	PUNCT
fuelectenerg-3144	1293	19	they	they	PRON
fuelectenerg-3144	1293	20	are	be	AUX
fuelectenerg-3144	1293	21	manipulations	manipulation	NOUN
fuelectenerg-3144	1293	22	of	of	ADP
fuelectenerg-3144	1293	23	the	the	DET
fuelectenerg-3144	1293	24	physical	physical	ADJ
fuelectenerg-3144	1293	25	qubits	qubit	NOUN
fuelectenerg-3144	1293	26	,	,	PUNCT
fuelectenerg-3144	1293	27	consisting	consist	VERB
fuelectenerg-3144	1293	28	of	of	ADP
fuelectenerg-3144	1293	29	sequences	sequence	NOUN
fuelectenerg-3144	1293	30	of	of	ADP
fuelectenerg-3144	1293	31	fundamental	fundamental	ADJ
fuelectenerg-3144	1293	32	physical	physical	ADJ
fuelectenerg-3144	1293	33	operations	operation	NOUN
fuelectenerg-3144	1293	34	on	on	ADP
fuelectenerg-3144	1293	35	those	those	DET
fuelectenerg-3144	1293	36	qubits	qubit	NOUN
fuelectenerg-3144	1293	37	.	.	PUNCT
fuelectenerg-3144	1294	1	the	the	DET
fuelectenerg-3144	1294	2	quantum	quantum	ADJ
fuelectenerg-3144	1294	3	cost	cost	NOUN
fuelectenerg-3144	1294	4	of	of	ADP
fuelectenerg-3144	1294	5	a	a	DET
fuelectenerg-3144	1294	6	11to	11to	NOUN
fuelectenerg-3144	1294	7	be	be	AUX
fuelectenerg-3144	1294	8	more	more	ADV
fuelectenerg-3144	1294	9	precise	precise	ADJ
fuelectenerg-3144	1294	10	,	,	PUNCT
fuelectenerg-3144	1294	11	we	we	PRON
fuelectenerg-3144	1294	12	have	have	AUX
fuelectenerg-3144	1294	13	described	describe	VERB
fuelectenerg-3144	1294	14	not	not	PART
fuelectenerg-3144	1294	15	a	a	DET
fuelectenerg-3144	1294	16	single	single	ADJ
fuelectenerg-3144	1294	17	oracle	oracle	NOUN
fuelectenerg-3144	1294	18	but	but	CCONJ
fuelectenerg-3144	1294	19	a	a	DET
fuelectenerg-3144	1294	20	design	design	NOUN
fuelectenerg-3144	1294	21	according	accord	VERB
fuelectenerg-3144	1294	22	to	to	ADP
fuelectenerg-3144	1294	23	which	which	PRON
fuelectenerg-3144	1294	24	a	a	DET
fuelectenerg-3144	1294	25	whole	whole	ADJ
fuelectenerg-3144	1294	26	sequence	sequence	NOUN
fuelectenerg-3144	1294	27	of	of	ADP
fuelectenerg-3144	1294	28	oracles	oracle	NOUN
fuelectenerg-3144	1294	29	(	(	PUNCT
fuelectenerg-3144	1294	30	for	for	ADP
fuelectenerg-3144	1294	31	different	different	ADJ
fuelectenerg-3144	1294	32	thresholds	threshold	NOUN
fuelectenerg-3144	1294	33	)	)	PUNCT
fuelectenerg-3144	1294	34	can	can	AUX
fuelectenerg-3144	1294	35	be	be	AUX
fuelectenerg-3144	1294	36	generated	generate	VERB
fuelectenerg-3144	1294	37	for	for	ADP
fuelectenerg-3144	1294	38	any	any	DET
fuelectenerg-3144	1294	39	given	give	VERB
fuelectenerg-3144	1294	40	fsm	fsm	PROPN
fuelectenerg-3144	1294	41	.	.	PUNCT
fuelectenerg-3144	1295	1	this	this	DET
fuelectenerg-3144	1295	2	ability	ability	NOUN
fuelectenerg-3144	1295	3	to	to	PART
fuelectenerg-3144	1295	4	generate	generate	VERB
fuelectenerg-3144	1295	5	a	a	DET
fuelectenerg-3144	1295	6	sequence	sequence	NOUN
fuelectenerg-3144	1295	7	of	of	ADP
fuelectenerg-3144	1295	8	oracles	oracle	NOUN
fuelectenerg-3144	1295	9	is	be	AUX
fuelectenerg-3144	1295	10	exactly	exactly	ADV
fuelectenerg-3144	1295	11	what	what	PRON
fuelectenerg-3144	1295	12	we	we	PRON
fuelectenerg-3144	1295	13	need	need	VERB
fuelectenerg-3144	1295	14	,	,	PUNCT
fuelectenerg-3144	1295	15	as	as	SCONJ
fuelectenerg-3144	1295	16	discussed	discuss	VERB
fuelectenerg-3144	1295	17	in	in	ADP
fuelectenerg-3144	1295	18	section	section	NOUN
fuelectenerg-3144	1295	19	3.2	3.2	NUM
fuelectenerg-3144	1295	20	.	.	PUNCT
fuelectenerg-3144	1296	1	38	38	NUM
fuelectenerg-3144	1296	2	a	a	DET
fuelectenerg-3144	1296	3	b	b	NOUN
fuelectenerg-3144	1296	4	c	c	NOUN
fuelectenerg-3144	1296	5	d	d	NOUN
fuelectenerg-3144	1296	6	|0	|0	NUM
fuelectenerg-3144	1297	1	〉	〉	NUM
fuelectenerg-3144	1297	2	|0	|0	NUM
fuelectenerg-3144	1297	3	〉	〉	PROPN
fuelectenerg-3144	1297	4	|0	|0	NUM
fuelectenerg-3144	1297	5	〉	〉	PROPN
fuelectenerg-3144	1297	6	a	a	DET
fuelectenerg-3144	1297	7	∧	∧	PROPN
fuelectenerg-3144	1297	8	b	b	PROPN
fuelectenerg-3144	1297	9	∧	∧	PROPN
fuelectenerg-3144	1297	10	c	c	PROPN
fuelectenerg-3144	1297	11	∧	∧	PROPN
fuelectenerg-3144	1297	12	d	d	PROPN
fuelectenerg-3144	1297	13	figure	figure	NOUN
fuelectenerg-3144	1297	14	24	24	NUM
fuelectenerg-3144	1297	15	:	:	PUNCT
fuelectenerg-3144	1297	16	implementation	implementation	NOUN
fuelectenerg-3144	1297	17	of	of	ADP
fuelectenerg-3144	1297	18	a	a	DET
fuelectenerg-3144	1297	19	multiple	multiple	ADJ
fuelectenerg-3144	1297	20	-	-	PUNCT
fuelectenerg-3144	1297	21	control	control	NOUN
fuelectenerg-3144	1297	22	toffoli	toffoli	PROPN
fuelectenerg-3144	1297	23	gate	gate	VERB
fuelectenerg-3144	1297	24	with	with	ADP
fuelectenerg-3144	1297	25	quantum	quantum	NOUN
fuelectenerg-3144	1297	26	cost	cost	NOUN
fuelectenerg-3144	1297	27	scaling	scaling	NOUN
fuelectenerg-3144	1297	28	linearly	linearly	ADV
fuelectenerg-3144	1297	29	with	with	ADP
fuelectenerg-3144	1297	30	gate	gate	NOUN
fuelectenerg-3144	1297	31	size	size	NOUN
fuelectenerg-3144	1297	32	.	.	PUNCT
fuelectenerg-3144	1298	1	quantum	quantum	PROPN
fuelectenerg-3144	1298	2	gate	gate	NOUN
fuelectenerg-3144	1298	3	is	be	AUX
fuelectenerg-3144	1298	4	then	then	ADV
fuelectenerg-3144	1298	5	the	the	DET
fuelectenerg-3144	1298	6	number	number	NOUN
fuelectenerg-3144	1298	7	of	of	ADP
fuelectenerg-3144	1298	8	physical	physical	ADJ
fuelectenerg-3144	1298	9	operations	operation	NOUN
fuelectenerg-3144	1298	10	required	require	VERB
fuelectenerg-3144	1298	11	to	to	PART
fuelectenerg-3144	1298	12	implement	implement	VERB
fuelectenerg-3144	1298	13	that	that	DET
fuelectenerg-3144	1298	14	gate	gate	NOUN
fuelectenerg-3144	1298	15	,	,	PUNCT
fuelectenerg-3144	1298	16	which	which	PRON
fuelectenerg-3144	1298	17	roughly	roughly	ADV
fuelectenerg-3144	1298	18	corresponds	correspond	VERB
fuelectenerg-3144	1298	19	to	to	ADP
fuelectenerg-3144	1298	20	the	the	DET
fuelectenerg-3144	1298	21	run	run	NOUN
fuelectenerg-3144	1298	22	time	time	NOUN
fuelectenerg-3144	1298	23	complexity	complexity	NOUN
fuelectenerg-3144	1298	24	of	of	ADP
fuelectenerg-3144	1298	25	the	the	DET
fuelectenerg-3144	1298	26	gate	gate	NOUN
fuelectenerg-3144	1298	27	if	if	SCONJ
fuelectenerg-3144	1298	28	we	we	PRON
fuelectenerg-3144	1298	29	assume	assume	VERB
fuelectenerg-3144	1298	30	that	that	SCONJ
fuelectenerg-3144	1298	31	each	each	DET
fuelectenerg-3144	1298	32	fundamental	fundamental	ADJ
fuelectenerg-3144	1298	33	physical	physical	ADJ
fuelectenerg-3144	1298	34	operation	operation	NOUN
fuelectenerg-3144	1298	35	requires	require	VERB
fuelectenerg-3144	1298	36	approximately	approximately	ADV
fuelectenerg-3144	1298	37	the	the	DET
fuelectenerg-3144	1298	38	same	same	ADJ
fuelectenerg-3144	1298	39	amount	amount	NOUN
fuelectenerg-3144	1298	40	of	of	ADP
fuelectenerg-3144	1298	41	time	time	NOUN
fuelectenerg-3144	1298	42	.	.	PUNCT
fuelectenerg-3144	1299	1	authors	author	NOUN
fuelectenerg-3144	1299	2	in	in	ADP
fuelectenerg-3144	1299	3	the	the	DET
fuelectenerg-3144	1299	4	quantum	quantum	NOUN
fuelectenerg-3144	1299	5	computing	compute	VERB
fuelectenerg-3144	1299	6	literature	literature	NOUN
fuelectenerg-3144	1299	7	have	have	AUX
fuelectenerg-3144	1299	8	proposed	propose	VERB
fuelectenerg-3144	1299	9	a	a	DET
fuelectenerg-3144	1299	10	variety	variety	NOUN
fuelectenerg-3144	1299	11	of	of	ADP
fuelectenerg-3144	1299	12	quantum	quantum	ADJ
fuelectenerg-3144	1299	13	cost	cost	NOUN
fuelectenerg-3144	1299	14	models	model	NOUN
fuelectenerg-3144	1299	15	,	,	PUNCT
fuelectenerg-3144	1299	16	based	base	VERB
fuelectenerg-3144	1299	17	on	on	ADP
fuelectenerg-3144	1299	18	differing	differ	VERB
fuelectenerg-3144	1299	19	assumptions	assumption	NOUN
fuelectenerg-3144	1299	20	about	about	ADP
fuelectenerg-3144	1299	21	the	the	DET
fuelectenerg-3144	1299	22	physical	physical	ADJ
fuelectenerg-3144	1299	23	implementation	implementation	NOUN
fuelectenerg-3144	1299	24	of	of	ADP
fuelectenerg-3144	1299	25	a	a	DET
fuelectenerg-3144	1299	26	quantum	quantum	NOUN
fuelectenerg-3144	1299	27	computing	computing	NOUN
fuelectenerg-3144	1299	28	system	system	NOUN
fuelectenerg-3144	1299	29	and	and	CCONJ
fuelectenerg-3144	1299	30	the	the	DET
fuelectenerg-3144	1299	31	fundamental	fundamental	ADJ
fuelectenerg-3144	1299	32	operations	operation	NOUN
fuelectenerg-3144	1299	33	available	available	ADJ
fuelectenerg-3144	1299	34	therein	therein	ADV
fuelectenerg-3144	1299	35	.	.	PUNCT
fuelectenerg-3144	1300	1	for	for	ADP
fuelectenerg-3144	1300	2	instance	instance	NOUN
fuelectenerg-3144	1300	3	,	,	PUNCT
fuelectenerg-3144	1300	4	a	a	DET
fuelectenerg-3144	1300	5	well	well	ADV
fuelectenerg-3144	1300	6	-	-	PUNCT
fuelectenerg-3144	1300	7	known	know	VERB
fuelectenerg-3144	1300	8	result	result	NOUN
fuelectenerg-3144	1300	9	due	due	ADP
fuelectenerg-3144	1300	10	to	to	PART
fuelectenerg-3144	1300	11	barenco	barenco	VERB
fuelectenerg-3144	1300	12	et	et	NOUN
fuelectenerg-3144	1300	13	al	al	PROPN
fuelectenerg-3144	1300	14	.	.	PUNCT
fuelectenerg-3144	1301	1	[	[	X
fuelectenerg-3144	1301	2	20	20	NUM
fuelectenerg-3144	1301	3	]	]	PUNCT
fuelectenerg-3144	1301	4	suggests12	suggests12	NOUN
fuelectenerg-3144	1301	5	that	that	SCONJ
fuelectenerg-3144	1301	6	the	the	DET
fuelectenerg-3144	1301	7	quantum	quantum	ADJ
fuelectenerg-3144	1301	8	cost	cost	NOUN
fuelectenerg-3144	1301	9	of	of	ADP
fuelectenerg-3144	1301	10	a	a	DET
fuelectenerg-3144	1301	11	multiple	multiple	ADJ
fuelectenerg-3144	1301	12	-	-	PUNCT
fuelectenerg-3144	1301	13	control	control	NOUN
fuelectenerg-3144	1301	14	toffoli	toffoli	NOUN
fuelectenerg-3144	1301	15	may	may	AUX
fuelectenerg-3144	1301	16	be	be	AUX
fuelectenerg-3144	1301	17	up	up	ADP
fuelectenerg-3144	1301	18	to	to	ADP
fuelectenerg-3144	1301	19	o(2n	o(2n	NUM
fuelectenerg-3144	1301	20	)	)	PUNCT
fuelectenerg-3144	1301	21	,	,	PUNCT
fuelectenerg-3144	1301	22	where	where	SCONJ
fuelectenerg-3144	1301	23	n	n	PRON
fuelectenerg-3144	1301	24	is	be	AUX
fuelectenerg-3144	1301	25	the	the	DET
fuelectenerg-3144	1301	26	size	size	NOUN
fuelectenerg-3144	1301	27	of	of	ADP
fuelectenerg-3144	1301	28	the	the	DET
fuelectenerg-3144	1301	29	gate	gate	NOUN
fuelectenerg-3144	1301	30	.	.	PUNCT
fuelectenerg-3144	1302	1	however	however	ADV
fuelectenerg-3144	1302	2	,	,	PUNCT
fuelectenerg-3144	1302	3	this	this	DET
fuelectenerg-3144	1302	4	result	result	NOUN
fuelectenerg-3144	1302	5	assumes	assume	VERB
fuelectenerg-3144	1302	6	that	that	SCONJ
fuelectenerg-3144	1302	7	no	no	DET
fuelectenerg-3144	1302	8	ancilla	ancilla	NOUN
fuelectenerg-3144	1302	9	qubits	qubit	NOUN
fuelectenerg-3144	1302	10	are	be	AUX
fuelectenerg-3144	1302	11	used	use	VERB
fuelectenerg-3144	1302	12	.	.	PUNCT
fuelectenerg-3144	1303	1	with	with	ADP
fuelectenerg-3144	1303	2	the	the	DET
fuelectenerg-3144	1303	3	use	use	NOUN
fuelectenerg-3144	1303	4	of	of	ADP
fuelectenerg-3144	1303	5	ancilla	ancilla	NOUN
fuelectenerg-3144	1303	6	qubits	qubit	NOUN
fuelectenerg-3144	1303	7	,	,	PUNCT
fuelectenerg-3144	1303	8	it	it	PRON
fuelectenerg-3144	1303	9	is	be	AUX
fuelectenerg-3144	1303	10	easy	easy	ADJ
fuelectenerg-3144	1303	11	to	to	PART
fuelectenerg-3144	1303	12	see	see	VERB
fuelectenerg-3144	1303	13	that	that	DET
fuelectenerg-3144	1303	14	multiple	multiple	ADJ
fuelectenerg-3144	1303	15	-	-	PUNCT
fuelectenerg-3144	1303	16	control	control	NOUN
fuelectenerg-3144	1303	17	toffoli	toffoli	NOUN
fuelectenerg-3144	1303	18	gates	gate	NOUN
fuelectenerg-3144	1303	19	of	of	ADP
fuelectenerg-3144	1303	20	arbitrary	arbitrary	ADJ
fuelectenerg-3144	1303	21	size	size	NOUN
fuelectenerg-3144	1303	22	may	may	AUX
fuelectenerg-3144	1303	23	be	be	AUX
fuelectenerg-3144	1303	24	implemented	implement	VERB
fuelectenerg-3144	1303	25	with	with	ADP
fuelectenerg-3144	1303	26	a	a	DET
fuelectenerg-3144	1303	27	quantum	quantum	ADJ
fuelectenerg-3144	1303	28	cost	cost	NOUN
fuelectenerg-3144	1303	29	that	that	PRON
fuelectenerg-3144	1303	30	is	be	AUX
fuelectenerg-3144	1303	31	linear	linear	ADJ
fuelectenerg-3144	1303	32	with	with	ADP
fuelectenerg-3144	1303	33	respect	respect	NOUN
fuelectenerg-3144	1303	34	to	to	ADP
fuelectenerg-3144	1303	35	the	the	DET
fuelectenerg-3144	1303	36	size	size	NOUN
fuelectenerg-3144	1303	37	of	of	ADP
fuelectenerg-3144	1303	38	the	the	DET
fuelectenerg-3144	1303	39	gate	gate	NOUN
fuelectenerg-3144	1303	40	.	.	PUNCT
fuelectenerg-3144	1304	1	a	a	DET
fuelectenerg-3144	1304	2	cascade	cascade	NOUN
fuelectenerg-3144	1304	3	of	of	ADP
fuelectenerg-3144	1304	4	toffoli	toffoli	PROPN
fuelectenerg-3144	1304	5	gates	gate	NOUN
fuelectenerg-3144	1304	6	,	,	PUNCT
fuelectenerg-3144	1304	7	as	as	SCONJ
fuelectenerg-3144	1304	8	shown	show	VERB
fuelectenerg-3144	1304	9	in	in	ADP
fuelectenerg-3144	1304	10	figure	figure	NOUN
fuelectenerg-3144	1304	11	24	24	NUM
fuelectenerg-3144	1304	12	,	,	PUNCT
fuelectenerg-3144	1304	13	accomplishes	accomplish	VERB
fuelectenerg-3144	1304	14	this	this	DET
fuelectenerg-3144	1304	15	task	task	NOUN
fuelectenerg-3144	1304	16	.	.	PUNCT
fuelectenerg-3144	1305	1	throughout	throughout	ADP
fuelectenerg-3144	1305	2	the	the	DET
fuelectenerg-3144	1305	3	following	follow	VERB
fuelectenerg-3144	1305	4	analysis	analysis	NOUN
fuelectenerg-3144	1305	5	,	,	PUNCT
fuelectenerg-3144	1305	6	we	we	PRON
fuelectenerg-3144	1305	7	will	will	AUX
fuelectenerg-3144	1305	8	assume	assume	VERB
fuelectenerg-3144	1305	9	that	that	SCONJ
fuelectenerg-3144	1305	10	an	an	DET
fuelectenerg-3144	1305	11	arbitrary	arbitrary	ADJ
fuelectenerg-3144	1305	12	number	number	NOUN
fuelectenerg-3144	1305	13	of	of	ADP
fuelectenerg-3144	1305	14	ancilla	ancilla	PROPN
fuelectenerg-3144	1305	15	qubits	qubit	NOUN
fuelectenerg-3144	1305	16	are	be	AUX
fuelectenerg-3144	1305	17	available	available	ADJ
fuelectenerg-3144	1305	18	,	,	PUNCT
fuelectenerg-3144	1305	19	and	and	CCONJ
fuelectenerg-3144	1305	20	therefore	therefore	ADV
fuelectenerg-3144	1305	21	the	the	DET
fuelectenerg-3144	1305	22	quantum	quantum	ADJ
fuelectenerg-3144	1305	23	cost	cost	NOUN
fuelectenerg-3144	1305	24	of	of	ADP
fuelectenerg-3144	1305	25	a	a	DET
fuelectenerg-3144	1305	26	multiple	multiple	ADJ
fuelectenerg-3144	1305	27	-	-	PUNCT
fuelectenerg-3144	1305	28	control	control	NOUN
fuelectenerg-3144	1305	29	toffoli	toffoli	PROPN
fuelectenerg-3144	1305	30	gate	gate	NOUN
fuelectenerg-3144	1305	31	is	be	AUX
fuelectenerg-3144	1305	32	linear	linear	ADJ
fuelectenerg-3144	1305	33	with	with	ADP
fuelectenerg-3144	1305	34	respect	respect	NOUN
fuelectenerg-3144	1305	35	to	to	ADP
fuelectenerg-3144	1305	36	the	the	DET
fuelectenerg-3144	1305	37	gate	gate	NOUN
fuelectenerg-3144	1305	38	’s	’s	PART
fuelectenerg-3144	1305	39	size	size	NOUN
fuelectenerg-3144	1305	40	.	.	PUNCT
fuelectenerg-3144	1306	1	we	we	PRON
fuelectenerg-3144	1306	2	make	make	VERB
fuelectenerg-3144	1306	3	this	this	DET
fuelectenerg-3144	1306	4	assumption	assumption	NOUN
fuelectenerg-3144	1306	5	as	as	SCONJ
fuelectenerg-3144	1306	6	it	it	PRON
fuelectenerg-3144	1306	7	simplifies	simplify	VERB
fuelectenerg-3144	1306	8	our	our	PRON
fuelectenerg-3144	1306	9	calculations	calculation	NOUN
fuelectenerg-3144	1306	10	and	and	CCONJ
fuelectenerg-3144	1306	11	is	be	AUX
fuelectenerg-3144	1306	12	most	most	ADV
fuelectenerg-3144	1306	13	conducive	conducive	ADJ
fuelectenerg-3144	1306	14	to	to	ADP
fuelectenerg-3144	1306	15	our	our	PRON
fuelectenerg-3144	1306	16	goal	goal	NOUN
fuelectenerg-3144	1306	17	of	of	ADP
fuelectenerg-3144	1306	18	obtaining	obtain	VERB
fuelectenerg-3144	1306	19	a	a	DET
fuelectenerg-3144	1306	20	rough	rough	ADJ
fuelectenerg-3144	1306	21	estimate	estimate	NOUN
fuelectenerg-3144	1306	22	of	of	ADP
fuelectenerg-3144	1306	23	the	the	DET
fuelectenerg-3144	1306	24	run	run	NOUN
fuelectenerg-3144	1306	25	time	time	NOUN
fuelectenerg-3144	1306	26	complexity	complexity	NOUN
fuelectenerg-3144	1306	27	of	of	ADP
fuelectenerg-3144	1306	28	our	our	PRON
fuelectenerg-3144	1306	29	proposed	propose	VERB
fuelectenerg-3144	1306	30	quantum	quantum	ADJ
fuelectenerg-3144	1306	31	algorithm	algorithm	NOUN
fuelectenerg-3144	1306	32	.	.	PUNCT
fuelectenerg-3144	1307	1	the	the	DET
fuelectenerg-3144	1307	2	question	question	NOUN
fuelectenerg-3144	1307	3	of	of	ADP
fuelectenerg-3144	1307	4	how	how	SCONJ
fuelectenerg-3144	1307	5	the	the	DET
fuelectenerg-3144	1307	6	run	run	NOUN
fuelectenerg-3144	1307	7	time	time	NOUN
fuelectenerg-3144	1307	8	complexity	complexity	NOUN
fuelectenerg-3144	1307	9	varies	vary	VERB
fuelectenerg-3144	1307	10	in	in	ADP
fuelectenerg-3144	1307	11	other	other	ADJ
fuelectenerg-3144	1307	12	quantum	quantum	ADJ
fuelectenerg-3144	1307	13	cost	cost	NOUN
fuelectenerg-3144	1307	14	models	model	NOUN
fuelectenerg-3144	1307	15	is	be	AUX
fuelectenerg-3144	1307	16	an	an	DET
fuelectenerg-3144	1307	17	interesting	interesting	ADJ
fuelectenerg-3144	1307	18	one	one	NOUN
fuelectenerg-3144	1307	19	,	,	PUNCT
fuelectenerg-3144	1307	20	but	but	CCONJ
fuelectenerg-3144	1307	21	outside	outside	ADP
fuelectenerg-3144	1307	22	the	the	DET
fuelectenerg-3144	1307	23	scope	scope	NOUN
fuelectenerg-3144	1307	24	of	of	ADP
fuelectenerg-3144	1307	25	the	the	DET
fuelectenerg-3144	1307	26	present	present	ADJ
fuelectenerg-3144	1307	27	paper	paper	NOUN
fuelectenerg-3144	1307	28	.	.	PUNCT
fuelectenerg-3144	1308	1	we	we	PRON
fuelectenerg-3144	1308	2	leave	leave	VERB
fuelectenerg-3144	1308	3	further	further	ADJ
fuelectenerg-3144	1308	4	investigation	investigation	NOUN
fuelectenerg-3144	1308	5	of	of	ADP
fuelectenerg-3144	1308	6	this	this	DET
fuelectenerg-3144	1308	7	question	question	NOUN
fuelectenerg-3144	1308	8	open	open	ADJ
fuelectenerg-3144	1308	9	for	for	ADP
fuelectenerg-3144	1308	10	future	future	ADJ
fuelectenerg-3144	1308	11	work	work	NOUN
fuelectenerg-3144	1308	12	.	.	PUNCT
fuelectenerg-3144	1309	1	our	our	PRON
fuelectenerg-3144	1309	2	algorithm	algorithm	NOUN
fuelectenerg-3144	1309	3	operates	operate	VERB
fuelectenerg-3144	1309	4	under	under	ADP
fuelectenerg-3144	1309	5	the	the	DET
fuelectenerg-3144	1309	6	condition	condition	NOUN
fuelectenerg-3144	1309	7	that	that	SCONJ
fuelectenerg-3144	1309	8	the	the	DET
fuelectenerg-3144	1309	9	numbers	number	NOUN
fuelectenerg-3144	1309	10	of	of	ADP
fuelectenerg-3144	1309	11	states	state	NOUN
fuelectenerg-3144	1309	12	and	and	CCONJ
fuelectenerg-3144	1309	13	input	input	NOUN
fuelectenerg-3144	1309	14	values	value	NOUN
fuelectenerg-3144	1309	15	of	of	ADP
fuelectenerg-3144	1309	16	the	the	DET
fuelectenerg-3144	1309	17	fsm	fsm	PROPN
fuelectenerg-3144	1309	18	must	must	AUX
fuelectenerg-3144	1309	19	both	both	PRON
fuelectenerg-3144	1309	20	be	be	AUX
fuelectenerg-3144	1309	21	powers	power	NOUN
fuelectenerg-3144	1309	22	of	of	ADP
fuelectenerg-3144	1309	23	two	two	NUM
fuelectenerg-3144	1309	24	.	.	PUNCT
fuelectenerg-3144	1310	1	let	let	VERB
fuelectenerg-3144	1310	2	us	we	PRON
fuelectenerg-3144	1310	3	denote	denote	VERB
fuelectenerg-3144	1310	4	the	the	DET
fuelectenerg-3144	1310	5	number	number	NOUN
fuelectenerg-3144	1310	6	of	of	ADP
fuelectenerg-3144	1310	7	states	state	NOUN
fuelectenerg-3144	1310	8	by	by	ADP
fuelectenerg-3144	1310	9	ns	ns	ADJ
fuelectenerg-3144	1310	10	and	and	CCONJ
fuelectenerg-3144	1310	11	the	the	DET
fuelectenerg-3144	1310	12	number	number	NOUN
fuelectenerg-3144	1310	13	of	of	ADP
fuelectenerg-3144	1310	14	input	input	NOUN
fuelectenerg-3144	1310	15	values	value	NOUN
fuelectenerg-3144	1310	16	by	by	ADP
fuelectenerg-3144	1310	17	ni	ni	PROPN
fuelectenerg-3144	1310	18	.	.	PROPN
fuelectenerg-3144	1310	19	then	then	ADV
fuelectenerg-3144	1310	20	,	,	PUNCT
fuelectenerg-3144	1310	21	ns	ns	PROPN
fuelectenerg-3144	1310	22	=	=	PROPN
fuelectenerg-3144	1310	23	2ns	2ns	NOUN
fuelectenerg-3144	1310	24	and	and	CCONJ
fuelectenerg-3144	1310	25	ni	ni	PROPN
fuelectenerg-3144	1310	26	=	=	PROPN
fuelectenerg-3144	1310	27	2ni	2ni	PROPN
fuelectenerg-3144	1310	28	for	for	ADP
fuelectenerg-3144	1310	29	some	some	DET
fuelectenerg-3144	1310	30	nonnegative	nonnegative	ADJ
fuelectenerg-3144	1310	31	integers	integer	NOUN
fuelectenerg-3144	1310	32	ns	ns	ADJ
fuelectenerg-3144	1310	33	and	and	CCONJ
fuelectenerg-3144	1310	34	ni	ni	NOUN
fuelectenerg-3144	1310	35	,	,	PUNCT
fuelectenerg-3144	1310	36	where	where	SCONJ
fuelectenerg-3144	1310	37	ns	ns	NUM
fuelectenerg-3144	1310	38	and	and	CCONJ
fuelectenerg-3144	1310	39	ni	ni	PROPN
fuelectenerg-3144	1310	40	are	be	AUX
fuelectenerg-3144	1310	41	respectively	respectively	ADV
fuelectenerg-3144	1310	42	the	the	DET
fuelectenerg-3144	1310	43	number	number	NOUN
fuelectenerg-3144	1310	44	of	of	ADP
fuelectenerg-3144	1310	45	state	state	NOUN
fuelectenerg-3144	1310	46	and	and	CCONJ
fuelectenerg-3144	1310	47	input	input	NOUN
fuelectenerg-3144	1310	48	variables	variable	NOUN
fuelectenerg-3144	1310	49	.	.	PUNCT
fuelectenerg-3144	1311	1	conversely	conversely	ADV
fuelectenerg-3144	1311	2	,	,	PUNCT
fuelectenerg-3144	1311	3	ns	ns	NUM
fuelectenerg-3144	1311	4	=	=	NOUN
fuelectenerg-3144	1311	5	log2	log2	PROPN
fuelectenerg-3144	1311	6	ns	ns	NUM
fuelectenerg-3144	1311	7	=	=	NOUN
fuelectenerg-3144	1311	8	o(logns	o(logn	NOUN
fuelectenerg-3144	1311	9	)	)	PUNCT
fuelectenerg-3144	1311	10	andni	andni	PROPN
fuelectenerg-3144	1311	11	=	=	SYM
fuelectenerg-3144	1311	12	log2	log2	PROPN
fuelectenerg-3144	1311	13	ni	ni	PROPN
fuelectenerg-3144	1311	14	=	=	PROPN
fuelectenerg-3144	1311	15	o(logni	o(logni	NOUN
fuelectenerg-3144	1311	16	)	)	PUNCT
fuelectenerg-3144	1311	17	.	.	PUNCT
fuelectenerg-3144	1312	1	we	we	PRON
fuelectenerg-3144	1312	2	first	first	PROPN
fuelectenerg-3144	1312	3	12we	12we	NUM
fuelectenerg-3144	1312	4	say	say	VERB
fuelectenerg-3144	1312	5	“	"	PUNCT
fuelectenerg-3144	1312	6	suggests	suggest	VERB
fuelectenerg-3144	1312	7	”	"	PUNCT
fuelectenerg-3144	1312	8	because	because	SCONJ
fuelectenerg-3144	1312	9	,	,	PUNCT
fuelectenerg-3144	1312	10	although	although	SCONJ
fuelectenerg-3144	1312	11	the	the	DET
fuelectenerg-3144	1312	12	results	result	NOUN
fuelectenerg-3144	1312	13	of	of	ADP
fuelectenerg-3144	1312	14	barenco	barenco	NOUN
fuelectenerg-3144	1312	15	et	et	PROPN
fuelectenerg-3144	1312	16	al	al	PROPN
fuelectenerg-3144	1312	17	.	.	PROPN
fuelectenerg-3144	1312	18	are	be	AUX
fuelectenerg-3144	1312	19	widely	widely	ADV
fuelectenerg-3144	1312	20	used	use	VERB
fuelectenerg-3144	1312	21	throughout	throughout	ADP
fuelectenerg-3144	1312	22	the	the	DET
fuelectenerg-3144	1312	23	literature	literature	NOUN
fuelectenerg-3144	1312	24	as	as	ADP
fuelectenerg-3144	1312	25	a	a	DET
fuelectenerg-3144	1312	26	standard	standard	ADJ
fuelectenerg-3144	1312	27	quantum	quantum	ADJ
fuelectenerg-3144	1312	28	cost	cost	NOUN
fuelectenerg-3144	1312	29	function	function	NOUN
fuelectenerg-3144	1312	30	for	for	ADP
fuelectenerg-3144	1312	31	multiple	multiple	ADJ
fuelectenerg-3144	1312	32	-	-	PUNCT
fuelectenerg-3144	1312	33	control	control	NOUN
fuelectenerg-3144	1312	34	toffoli	toffoli	PROPN
fuelectenerg-3144	1312	35	gates	gate	NOUN
fuelectenerg-3144	1312	36	,	,	PUNCT
fuelectenerg-3144	1312	37	we	we	PRON
fuelectenerg-3144	1312	38	do	do	AUX
fuelectenerg-3144	1312	39	not	not	PART
fuelectenerg-3144	1312	40	know	know	VERB
fuelectenerg-3144	1312	41	of	of	ADP
fuelectenerg-3144	1312	42	a	a	DET
fuelectenerg-3144	1312	43	conclusive	conclusive	ADJ
fuelectenerg-3144	1312	44	proof	proof	NOUN
fuelectenerg-3144	1312	45	that	that	SCONJ
fuelectenerg-3144	1312	46	it	it	PRON
fuelectenerg-3144	1312	47	is	be	AUX
fuelectenerg-3144	1312	48	impossible	impossible	ADJ
fuelectenerg-3144	1312	49	to	to	PART
fuelectenerg-3144	1312	50	implement	implement	VERB
fuelectenerg-3144	1312	51	a	a	DET
fuelectenerg-3144	1312	52	multiple	multiple	ADJ
fuelectenerg-3144	1312	53	-	-	PUNCT
fuelectenerg-3144	1312	54	control	control	NOUN
fuelectenerg-3144	1312	55	toffoli	toffoli	PROPN
fuelectenerg-3144	1312	56	gate	gate	VERB
fuelectenerg-3144	1312	57	with	with	ADP
fuelectenerg-3144	1312	58	lower	low	ADJ
fuelectenerg-3144	1312	59	cost	cost	NOUN
fuelectenerg-3144	1312	60	complexity	complexity	NOUN
fuelectenerg-3144	1312	61	(	(	PUNCT
fuelectenerg-3144	1312	62	assuming	assume	VERB
fuelectenerg-3144	1312	63	that	that	SCONJ
fuelectenerg-3144	1312	64	no	no	DET
fuelectenerg-3144	1312	65	ancilla	ancilla	NOUN
fuelectenerg-3144	1312	66	qubits	qubit	NOUN
fuelectenerg-3144	1312	67	are	be	AUX
fuelectenerg-3144	1312	68	used	use	VERB
fuelectenerg-3144	1312	69	)	)	PUNCT
fuelectenerg-3144	1312	70	.	.	PUNCT
fuelectenerg-3144	1313	1	in	in	ADP
fuelectenerg-3144	1313	2	any	any	DET
fuelectenerg-3144	1313	3	case	case	NOUN
fuelectenerg-3144	1313	4	,	,	PUNCT
fuelectenerg-3144	1313	5	our	our	PRON
fuelectenerg-3144	1313	6	results	result	NOUN
fuelectenerg-3144	1313	7	are	be	AUX
fuelectenerg-3144	1313	8	unaffected	unaffected	ADJ
fuelectenerg-3144	1313	9	since	since	SCONJ
fuelectenerg-3144	1313	10	we	we	PRON
fuelectenerg-3144	1313	11	assume	assume	VERB
fuelectenerg-3144	1313	12	instead	instead	ADV
fuelectenerg-3144	1313	13	that	that	SCONJ
fuelectenerg-3144	1313	14	ancilla	ancilla	PROPN
fuelectenerg-3144	1313	15	qubits	qubit	NOUN
fuelectenerg-3144	1313	16	are	be	AUX
fuelectenerg-3144	1313	17	used	use	VERB
fuelectenerg-3144	1313	18	to	to	PART
fuelectenerg-3144	1313	19	implement	implement	VERB
fuelectenerg-3144	1313	20	multiple	multiple	ADJ
fuelectenerg-3144	1313	21	-	-	PUNCT
fuelectenerg-3144	1313	22	control	control	NOUN
fuelectenerg-3144	1313	23	toffoli	toffoli	NOUN
fuelectenerg-3144	1313	24	gates	gate	VERB
fuelectenerg-3144	1313	25	with	with	ADP
fuelectenerg-3144	1313	26	o(n	o(n	NOUN
fuelectenerg-3144	1313	27	)	)	PUNCT
fuelectenerg-3144	1313	28	quantum	quantum	ADJ
fuelectenerg-3144	1313	29	cost	cost	NOUN
fuelectenerg-3144	1313	30	,	,	PUNCT
fuelectenerg-3144	1313	31	as	as	SCONJ
fuelectenerg-3144	1313	32	illustrated	illustrate	VERB
fuelectenerg-3144	1313	33	in	in	ADP
fuelectenerg-3144	1313	34	the	the	DET
fuelectenerg-3144	1313	35	main	main	ADJ
fuelectenerg-3144	1313	36	text	text	NOUN
fuelectenerg-3144	1313	37	.	.	PUNCT
fuelectenerg-3144	1314	1	39	39	NUM
fuelectenerg-3144	1314	2	206	206	NUM
fuelectenerg-3144	1314	3	e.	e.	PROPN
fuelectenerg-3144	1314	4	tsai	tsai	PROPN
fuelectenerg-3144	1314	5	,	,	PUNCT
fuelectenerg-3144	1314	6	m.	m.	PROPN
fuelectenerg-3144	1314	7	perkowski	perkowski	PROPN
fuelectenerg-3144	1314	8	a	a	DET
fuelectenerg-3144	1314	9	quantum	quantum	ADJ
fuelectenerg-3144	1314	10	algorithm	algorithm	NOUN
fuelectenerg-3144	1314	11	for	for	ADP
fuelectenerg-3144	1314	12	automata	automata	NOUN
fuelectenerg-3144	1314	13	encoding	encode	VERB
fuelectenerg-3144	1314	14	207	207	NUM
fuelectenerg-3144	1314	15	consider	consider	VERB
fuelectenerg-3144	1314	16	the	the	DET
fuelectenerg-3144	1314	17	run	run	NOUN
fuelectenerg-3144	1314	18	time	time	NOUN
fuelectenerg-3144	1314	19	complexity	complexity	NOUN
fuelectenerg-3144	1314	20	for	for	ADP
fuelectenerg-3144	1314	21	the	the	DET
fuelectenerg-3144	1314	22	dependency	dependency	NOUN
fuelectenerg-3144	1314	23	checking	check	VERB
fuelectenerg-3144	1314	24	quantum	quantum	ADJ
fuelectenerg-3144	1314	25	circuits	circuit	NOUN
fuelectenerg-3144	1314	26	described	describe	VERB
fuelectenerg-3144	1314	27	in	in	ADP
fuelectenerg-3144	1314	28	sections	section	NOUN
fuelectenerg-3144	1314	29	5.2	5.2	NUM
fuelectenerg-3144	1314	30	and	and	CCONJ
fuelectenerg-3144	1314	31	5.3	5.3	NUM
fuelectenerg-3144	1314	32	.	.	PUNCT
fuelectenerg-3144	1315	1	calculation	calculation	NOUN
fuelectenerg-3144	1315	2	of	of	ADP
fuelectenerg-3144	1315	3	this	this	DET
fuelectenerg-3144	1315	4	complexity	complexity	NOUN
fuelectenerg-3144	1315	5	is	be	AUX
fuelectenerg-3144	1315	6	complicated	complicate	VERB
fuelectenerg-3144	1315	7	by	by	ADP
fuelectenerg-3144	1315	8	the	the	DET
fuelectenerg-3144	1315	9	fact	fact	NOUN
fuelectenerg-3144	1315	10	that	that	SCONJ
fuelectenerg-3144	1315	11	the	the	DET
fuelectenerg-3144	1315	12	partial	partial	ADJ
fuelectenerg-3144	1315	13	dependency	dependency	NOUN
fuelectenerg-3144	1315	14	checkers	checker	NOUN
fuelectenerg-3144	1315	15	described	describe	VERB
fuelectenerg-3144	1315	16	in	in	ADP
fuelectenerg-3144	1315	17	section	section	NOUN
fuelectenerg-3144	1315	18	5.2	5.2	NUM
fuelectenerg-3144	1315	19	do	do	AUX
fuelectenerg-3144	1315	20	not	not	PART
fuelectenerg-3144	1315	21	have	have	AUX
fuelectenerg-3144	1315	22	a	a	DET
fuelectenerg-3144	1315	23	fixed	fix	VERB
fuelectenerg-3144	1315	24	complexity	complexity	NOUN
fuelectenerg-3144	1315	25	;	;	PUNCT
fuelectenerg-3144	1315	26	rather	rather	ADV
fuelectenerg-3144	1315	27	,	,	PUNCT
fuelectenerg-3144	1315	28	as	as	SCONJ
fuelectenerg-3144	1315	29	discussed	discuss	VERB
fuelectenerg-3144	1315	30	in	in	ADP
fuelectenerg-3144	1315	31	that	that	DET
fuelectenerg-3144	1315	32	section	section	NOUN
fuelectenerg-3144	1315	33	,	,	PUNCT
fuelectenerg-3144	1315	34	their	their	PRON
fuelectenerg-3144	1315	35	internal	internal	ADJ
fuelectenerg-3144	1315	36	structure	structure	NOUN
fuelectenerg-3144	1315	37	depends	depend	VERB
fuelectenerg-3144	1315	38	on	on	ADP
fuelectenerg-3144	1315	39	the	the	DET
fuelectenerg-3144	1315	40	particular	particular	ADJ
fuelectenerg-3144	1315	41	details	detail	NOUN
fuelectenerg-3144	1315	42	of	of	ADP
fuelectenerg-3144	1315	43	the	the	DET
fuelectenerg-3144	1315	44	state	state	NOUN
fuelectenerg-3144	1315	45	machine	machine	NOUN
fuelectenerg-3144	1315	46	under	under	ADP
fuelectenerg-3144	1315	47	consideration	consideration	NOUN
fuelectenerg-3144	1315	48	.	.	PUNCT
fuelectenerg-3144	1316	1	however	however	ADV
fuelectenerg-3144	1316	2	,	,	PUNCT
fuelectenerg-3144	1316	3	we	we	PRON
fuelectenerg-3144	1316	4	may	may	AUX
fuelectenerg-3144	1316	5	still	still	ADV
fuelectenerg-3144	1316	6	calculate	calculate	VERB
fuelectenerg-3144	1316	7	an	an	DET
fuelectenerg-3144	1316	8	upper	upper	ADJ
fuelectenerg-3144	1316	9	bound	bind	VERB
fuelectenerg-3144	1316	10	for	for	ADP
fuelectenerg-3144	1316	11	the	the	DET
fuelectenerg-3144	1316	12	complexity	complexity	NOUN
fuelectenerg-3144	1316	13	of	of	ADP
fuelectenerg-3144	1316	14	each	each	DET
fuelectenerg-3144	1316	15	partial	partial	ADJ
fuelectenerg-3144	1316	16	dependency	dependency	NOUN
fuelectenerg-3144	1316	17	checker	checker	NOUN
fuelectenerg-3144	1316	18	.	.	PUNCT
fuelectenerg-3144	1317	1	in	in	ADP
fuelectenerg-3144	1317	2	the	the	DET
fuelectenerg-3144	1317	3	following	follow	VERB
fuelectenerg-3144	1317	4	paragraph	paragraph	NOUN
fuelectenerg-3144	1317	5	,	,	PUNCT
fuelectenerg-3144	1317	6	we	we	PRON
fuelectenerg-3144	1317	7	use	use	VERB
fuelectenerg-3144	1317	8	the	the	DET
fuelectenerg-3144	1317	9	example	example	NOUN
fuelectenerg-3144	1317	10	circuits	circuit	NOUN
fuelectenerg-3144	1317	11	shown	show	VERB
fuelectenerg-3144	1317	12	in	in	ADP
fuelectenerg-3144	1317	13	figures	figure	NOUN
fuelectenerg-3144	1317	14	11	11	NUM
fuelectenerg-3144	1317	15	,	,	PUNCT
fuelectenerg-3144	1317	16	13	13	NUM
fuelectenerg-3144	1317	17	,	,	PUNCT
fuelectenerg-3144	1317	18	and	and	CCONJ
fuelectenerg-3144	1317	19	14	14	NUM
fuelectenerg-3144	1317	20	as	as	ADP
fuelectenerg-3144	1317	21	a	a	DET
fuelectenerg-3144	1317	22	reference	reference	NOUN
fuelectenerg-3144	1317	23	.	.	PUNCT
fuelectenerg-3144	1318	1	evaluating	evaluate	VERB
fuelectenerg-3144	1318	2	dj(s	dj(s	PROPN
fuelectenerg-3144	1318	3	,	,	PUNCT
fuelectenerg-3144	1318	4	s	s	NOUN
fuelectenerg-3144	1318	5	′	′	NOUN
fuelectenerg-3144	1318	6	)	)	PUNCT
fuelectenerg-3144	1318	7	for	for	ADP
fuelectenerg-3144	1318	8	a	a	DET
fuelectenerg-3144	1318	9	pair	pair	NOUN
fuelectenerg-3144	1318	10	of	of	ADP
fuelectenerg-3144	1318	11	states	state	NOUN
fuelectenerg-3144	1318	12	requires	require	VERB
fuelectenerg-3144	1318	13	o(ns	o(ns	ADJ
fuelectenerg-3144	1318	14	)	)	PUNCT
fuelectenerg-3144	1318	15	=	=	SYM
fuelectenerg-3144	1318	16	o(logns	o(logns	ADJ
fuelectenerg-3144	1318	17	)	)	PUNCT
fuelectenerg-3144	1318	18	time	time	NOUN
fuelectenerg-3144	1318	19	,	,	PUNCT
fuelectenerg-3144	1318	20	since	since	SCONJ
fuelectenerg-3144	1318	21	ns	ns	ADJ
fuelectenerg-3144	1318	22	−	−	PROPN
fuelectenerg-3144	1318	23	1	1	NUM
fuelectenerg-3144	1318	24	feynman	feynman	PROPN
fuelectenerg-3144	1318	25	gates	gate	NOUN
fuelectenerg-3144	1318	26	are	be	AUX
fuelectenerg-3144	1318	27	required	require	VERB
fuelectenerg-3144	1318	28	together	together	ADV
fuelectenerg-3144	1318	29	with	with	ADP
fuelectenerg-3144	1318	30	a	a	DET
fuelectenerg-3144	1318	31	multiple	multiple	ADJ
fuelectenerg-3144	1318	32	-	-	PUNCT
fuelectenerg-3144	1318	33	control	control	NOUN
fuelectenerg-3144	1318	34	toffoli	toffoli	PROPN
fuelectenerg-3144	1318	35	gate	gate	NOUN
fuelectenerg-3144	1318	36	of	of	ADP
fuelectenerg-3144	1318	37	size	size	NOUN
fuelectenerg-3144	1318	38	ns	ns	INTJ
fuelectenerg-3144	1318	39	(	(	PUNCT
fuelectenerg-3144	1318	40	ns	ns	NOUN
fuelectenerg-3144	1318	41	−	−	PROPN
fuelectenerg-3144	1318	42	1	1	NUM
fuelectenerg-3144	1318	43	control	control	NOUN
fuelectenerg-3144	1318	44	qubits	qubit	NOUN
fuelectenerg-3144	1318	45	and	and	CCONJ
fuelectenerg-3144	1318	46	one	one	NUM
fuelectenerg-3144	1318	47	target	target	NOUN
fuelectenerg-3144	1318	48	qubit	qubit	NOUN
fuelectenerg-3144	1318	49	)	)	PUNCT
fuelectenerg-3144	1318	50	.	.	PUNCT
fuelectenerg-3144	1319	1	by	by	ADP
fuelectenerg-3144	1319	2	analogous	analogous	ADJ
fuelectenerg-3144	1319	3	reasoning	reasoning	NOUN
fuelectenerg-3144	1319	4	,	,	PUNCT
fuelectenerg-3144	1319	5	evaluating	evaluate	VERB
fuelectenerg-3144	1319	6	dj(i	dj(i	NOUN
fuelectenerg-3144	1319	7	,	,	PUNCT
fuelectenerg-3144	1319	8	i	i	PRON
fuelectenerg-3144	1319	9	′	′	NOUN
fuelectenerg-3144	1319	10	)	)	PUNCT
fuelectenerg-3144	1319	11	requireso(ni	requireso(ni	VERB
fuelectenerg-3144	1319	12	)	)	PUNCT
fuelectenerg-3144	1319	13	=	=	SYM
fuelectenerg-3144	1319	14	o(logni	o(logni	NOUN
fuelectenerg-3144	1319	15	)	)	PUNCT
fuelectenerg-3144	1319	16	time	time	NOUN
fuelectenerg-3144	1319	17	.	.	PUNCT
fuelectenerg-3144	1320	1	meanwhile	meanwhile	ADV
fuelectenerg-3144	1320	2	,	,	PUNCT
fuelectenerg-3144	1320	3	evaluatingai(s	evaluatingai(s	NOUN
fuelectenerg-3144	1320	4	,	,	PUNCT
fuelectenerg-3144	1320	5	s	s	PART
fuelectenerg-3144	1320	6	′	′	NOUN
fuelectenerg-3144	1320	7	)	)	PUNCT
fuelectenerg-3144	1320	8	is	be	AUX
fuelectenerg-3144	1320	9	an	an	DET
fuelectenerg-3144	1320	10	o(1	o(1	NOUN
fuelectenerg-3144	1320	11	)	)	PUNCT
fuelectenerg-3144	1320	12	operation	operation	NOUN
fuelectenerg-3144	1320	13	,	,	PUNCT
fuelectenerg-3144	1320	14	since	since	SCONJ
fuelectenerg-3144	1320	15	only	only	ADV
fuelectenerg-3144	1320	16	a	a	DET
fuelectenerg-3144	1320	17	single	single	ADJ
fuelectenerg-3144	1320	18	feynman	feynman	PROPN
fuelectenerg-3144	1320	19	gate	gate	PROPN
fuelectenerg-3144	1320	20	is	be	AUX
fuelectenerg-3144	1320	21	needed	need	VERB
fuelectenerg-3144	1320	22	.	.	PUNCT
fuelectenerg-3144	1321	1	observe	observe	VERB
fuelectenerg-3144	1321	2	that	that	SCONJ
fuelectenerg-3144	1321	3	the	the	DET
fuelectenerg-3144	1321	4	upper	upper	ADJ
fuelectenerg-3144	1321	5	portion	portion	NOUN
fuelectenerg-3144	1321	6	of	of	ADP
fuelectenerg-3144	1321	7	every	every	DET
fuelectenerg-3144	1321	8	partial	partial	ADJ
fuelectenerg-3144	1321	9	dependency	dependency	NOUN
fuelectenerg-3144	1321	10	checker	checker	NOUN
fuelectenerg-3144	1321	11	(	(	PUNCT
fuelectenerg-3144	1321	12	as	as	ADP
fuelectenerg-3144	1321	13	in	in	ADP
fuelectenerg-3144	1321	14	figures	figure	NOUN
fuelectenerg-3144	1321	15	13	13	NUM
fuelectenerg-3144	1321	16	and	and	CCONJ
fuelectenerg-3144	1321	17	14	14	NUM
fuelectenerg-3144	1321	18	)	)	PUNCT
fuelectenerg-3144	1321	19	must	must	AUX
fuelectenerg-3144	1321	20	evaluate	evaluate	VERB
fuelectenerg-3144	1321	21	ai(s	ai(s	NUM
fuelectenerg-3144	1321	22	,	,	PUNCT
fuelectenerg-3144	1321	23	s	s	NOUN
fuelectenerg-3144	1321	24	′	′	NOUN
fuelectenerg-3144	1321	25	)	)	PUNCT
fuelectenerg-3144	1321	26	for	for	ADP
fuelectenerg-3144	1321	27	up	up	ADP
fuelectenerg-3144	1321	28	to	to	PART
fuelectenerg-3144	1321	29	ns	ns	NUM
fuelectenerg-3144	1321	30	−	−	NUM
fuelectenerg-3144	1321	31	1	1	NUM
fuelectenerg-3144	1321	32	state	state	NOUN
fuelectenerg-3144	1321	33	pairs	pair	NOUN
fuelectenerg-3144	1321	34	,	,	PUNCT
fuelectenerg-3144	1321	35	with	with	ADP
fuelectenerg-3144	1321	36	this	this	DET
fuelectenerg-3144	1321	37	maximum	maximum	NOUN
fuelectenerg-3144	1321	38	being	be	AUX
fuelectenerg-3144	1321	39	obtained	obtain	VERB
fuelectenerg-3144	1321	40	when	when	SCONJ
fuelectenerg-3144	1321	41	all	all	DET
fuelectenerg-3144	1321	42	state	state	NOUN
fuelectenerg-3144	1321	43	pairs	pair	NOUN
fuelectenerg-3144	1321	44	are	be	AUX
fuelectenerg-3144	1321	45	overlapping	overlap	VERB
fuelectenerg-3144	1321	46	,	,	PUNCT
fuelectenerg-3144	1321	47	as	as	ADP
fuelectenerg-3144	1321	48	in	in	ADP
fuelectenerg-3144	1321	49	(	(	PUNCT
fuelectenerg-3144	1321	50	s1	s1	NOUN
fuelectenerg-3144	1321	51	,	,	PUNCT
fuelectenerg-3144	1321	52	s2	s2	PROPN
fuelectenerg-3144	1321	53	)	)	PUNCT
fuelectenerg-3144	1321	54	,	,	PUNCT
fuelectenerg-3144	1321	55	(	(	PUNCT
fuelectenerg-3144	1321	56	s2	s2	PROPN
fuelectenerg-3144	1321	57	,	,	PUNCT
fuelectenerg-3144	1321	58	s3	s3	PROPN
fuelectenerg-3144	1321	59	)	)	PUNCT
fuelectenerg-3144	1321	60	,	,	PUNCT
fuelectenerg-3144	1321	61	(	(	PUNCT
fuelectenerg-3144	1321	62	s3	s3	PROPN
fuelectenerg-3144	1321	63	,	,	PUNCT
fuelectenerg-3144	1321	64	s4	s4	PROPN
fuelectenerg-3144	1321	65	)	)	PUNCT
fuelectenerg-3144	1321	66	,	,	PUNCT
fuelectenerg-3144	1321	67	etc	etc	X
fuelectenerg-3144	1321	68	.	.	X
fuelectenerg-3144	1322	1	the	the	DET
fuelectenerg-3144	1322	2	lower	low	ADJ
fuelectenerg-3144	1322	3	portion	portion	NOUN
fuelectenerg-3144	1322	4	of	of	ADP
fuelectenerg-3144	1322	5	each	each	DET
fuelectenerg-3144	1322	6	partial	partial	ADJ
fuelectenerg-3144	1322	7	dependency	dependency	NOUN
fuelectenerg-3144	1322	8	checker	checker	NOUN
fuelectenerg-3144	1322	9	always	always	ADV
fuelectenerg-3144	1322	10	evaluates	evaluate	VERB
fuelectenerg-3144	1322	11	dj(s	dj(s	NOUN
fuelectenerg-3144	1322	12	,	,	PUNCT
fuelectenerg-3144	1322	13	s	s	NOUN
fuelectenerg-3144	1322	14	′	′	NOUN
fuelectenerg-3144	1322	15	)	)	PUNCT
fuelectenerg-3144	1322	16	or	or	CCONJ
fuelectenerg-3144	1322	17	dj(i	dj(i	NOUN
fuelectenerg-3144	1322	18	,	,	PUNCT
fuelectenerg-3144	1322	19	i	i	PRON
fuelectenerg-3144	1322	20	′	′	VERB
fuelectenerg-3144	1322	21	)	)	PUNCT
fuelectenerg-3144	1322	22	for	for	ADP
fuelectenerg-3144	1322	23	only	only	ADV
fuelectenerg-3144	1322	24	one	one	NUM
fuelectenerg-3144	1322	25	pair	pair	NOUN
fuelectenerg-3144	1322	26	of	of	ADP
fuelectenerg-3144	1322	27	inputs	input	NOUN
fuelectenerg-3144	1322	28	/	/	SYM
fuelectenerg-3144	1322	29	states	state	NOUN
fuelectenerg-3144	1322	30	.	.	PUNCT
fuelectenerg-3144	1323	1	the	the	DET
fuelectenerg-3144	1323	2	total	total	ADJ
fuelectenerg-3144	1323	3	complexity	complexity	NOUN
fuelectenerg-3144	1323	4	of	of	ADP
fuelectenerg-3144	1323	5	a	a	DET
fuelectenerg-3144	1323	6	partial	partial	ADJ
fuelectenerg-3144	1323	7	dependency	dependency	NOUN
fuelectenerg-3144	1323	8	checker	checker	NOUN
fuelectenerg-3144	1323	9	is	be	AUX
fuelectenerg-3144	1323	10	therefore	therefore	ADV
fuelectenerg-3144	1323	11	(	(	PUNCT
fuelectenerg-3144	1323	12	ns	ns	INTJ
fuelectenerg-3144	1323	13	−	−	NOUN
fuelectenerg-3144	1323	14	1	1	NUM
fuelectenerg-3144	1323	15	)	)	PUNCT
fuelectenerg-3144	1323	16	·	·	PUNCT
fuelectenerg-3144	1324	1	o(1	o(1	NOUN
fuelectenerg-3144	1324	2	)	)	PUNCT
fuelectenerg-3144	1324	3	+	+	CCONJ
fuelectenerg-3144	1324	4	1	1	NUM
fuelectenerg-3144	1324	5	·	·	PUNCT
fuelectenerg-3144	1324	6	o(logns	o(logns	ADJ
fuelectenerg-3144	1324	7	)	)	PUNCT
fuelectenerg-3144	1324	8	=	=	SYM
fuelectenerg-3144	1324	9	o(ns	o(ns	PROPN
fuelectenerg-3144	1324	10	+	+	SYM
fuelectenerg-3144	1324	11	logns	logn	NOUN
fuelectenerg-3144	1324	12	)	)	PUNCT
fuelectenerg-3144	1324	13	=	=	SYM
fuelectenerg-3144	1324	14	o(ns	o(ns	NOUN
fuelectenerg-3144	1324	15	)	)	PUNCT
fuelectenerg-3144	1324	16	,	,	PUNCT
fuelectenerg-3144	1324	17	for	for	ADP
fuelectenerg-3144	1324	18	a	a	DET
fuelectenerg-3144	1324	19	partial	partial	ADJ
fuelectenerg-3144	1324	20	dependency	dependency	NOUN
fuelectenerg-3144	1324	21	checker	checker	NOUN
fuelectenerg-3144	1324	22	that	that	PRON
fuelectenerg-3144	1324	23	evaluates	evaluate	VERB
fuelectenerg-3144	1324	24	dj(s	dj(s	NOUN
fuelectenerg-3144	1324	25	,	,	PUNCT
fuelectenerg-3144	1324	26	s	s	NOUN
fuelectenerg-3144	1324	27	′	′	NOUN
fuelectenerg-3144	1324	28	)	)	PUNCT
fuelectenerg-3144	1324	29	for	for	ADP
fuelectenerg-3144	1324	30	a	a	DET
fuelectenerg-3144	1324	31	pair	pair	NOUN
fuelectenerg-3144	1324	32	of	of	ADP
fuelectenerg-3144	1324	33	states	state	NOUN
fuelectenerg-3144	1324	34	and	and	CCONJ
fuelectenerg-3144	1324	35	checks	check	NOUN
fuelectenerg-3144	1324	36	eq	eq	ADP
fuelectenerg-3144	1324	37	.	.	PROPN
fuelectenerg-3144	1324	38	1	1	NUM
fuelectenerg-3144	1324	39	,	,	PUNCT
fuelectenerg-3144	1324	40	or	or	CCONJ
fuelectenerg-3144	1324	41	(	(	PUNCT
fuelectenerg-3144	1324	42	ns	ns	INTJ
fuelectenerg-3144	1324	43	−	−	NOUN
fuelectenerg-3144	1324	44	1	1	NUM
fuelectenerg-3144	1324	45	)	)	PUNCT
fuelectenerg-3144	1324	46	·	·	PUNCT
fuelectenerg-3144	1325	1	o(1	o(1	NOUN
fuelectenerg-3144	1325	2	)	)	PUNCT
fuelectenerg-3144	1325	3	+	+	CCONJ
fuelectenerg-3144	1325	4	1	1	NUM
fuelectenerg-3144	1325	5	·	·	PUNCT
fuelectenerg-3144	1325	6	o(logns	o(logns	ADJ
fuelectenerg-3144	1325	7	)	)	PUNCT
fuelectenerg-3144	1325	8	=	=	SYM
fuelectenerg-3144	1325	9	o(ns	o(ns	PROPN
fuelectenerg-3144	1325	10	+	+	NUM
fuelectenerg-3144	1325	11	logni	logni	NOUN
fuelectenerg-3144	1325	12	)	)	PUNCT
fuelectenerg-3144	1325	13	,	,	PUNCT
fuelectenerg-3144	1325	14	for	for	ADP
fuelectenerg-3144	1325	15	a	a	DET
fuelectenerg-3144	1325	16	partial	partial	ADJ
fuelectenerg-3144	1325	17	dependency	dependency	NOUN
fuelectenerg-3144	1325	18	checker	checker	NOUN
fuelectenerg-3144	1325	19	that	that	PRON
fuelectenerg-3144	1325	20	evaluates	evaluate	VERB
fuelectenerg-3144	1325	21	dj(i	dj(i	PROPN
fuelectenerg-3144	1325	22	,	,	PUNCT
fuelectenerg-3144	1325	23	i	i	PRON
fuelectenerg-3144	1325	24	′	′	VERB
fuelectenerg-3144	1325	25	)	)	PUNCT
fuelectenerg-3144	1325	26	for	for	ADP
fuelectenerg-3144	1325	27	a	a	DET
fuelectenerg-3144	1325	28	pair	pair	NOUN
fuelectenerg-3144	1325	29	of	of	ADP
fuelectenerg-3144	1325	30	inputs	input	NOUN
fuelectenerg-3144	1325	31	and	and	CCONJ
fuelectenerg-3144	1325	32	checks	check	NOUN
fuelectenerg-3144	1325	33	eq	eq	ADP
fuelectenerg-3144	1325	34	.	.	PROPN
fuelectenerg-3144	1325	35	2	2	X
fuelectenerg-3144	1325	36	.	.	X
fuelectenerg-3144	1325	37	from	from	ADP
fuelectenerg-3144	1325	38	figure	figure	NOUN
fuelectenerg-3144	1325	39	16	16	NUM
fuelectenerg-3144	1325	40	we	we	PRON
fuelectenerg-3144	1325	41	can	can	AUX
fuelectenerg-3144	1325	42	see	see	VERB
fuelectenerg-3144	1325	43	that	that	PRON
fuelectenerg-3144	1325	44	checking	check	VERB
fuelectenerg-3144	1325	45	the	the	DET
fuelectenerg-3144	1325	46	dependencies	dependency	NOUN
fuelectenerg-3144	1325	47	of	of	ADP
fuelectenerg-3144	1325	48	the	the	DET
fuelectenerg-3144	1325	49	next	next	ADJ
fuelectenerg-3144	1325	50	state	state	NOUN
fuelectenerg-3144	1325	51	of	of	ADP
fuelectenerg-3144	1325	52	a	a	DET
fuelectenerg-3144	1325	53	single	single	ADJ
fuelectenerg-3144	1325	54	flip	flip	NOUN
fuelectenerg-3144	1325	55	-	-	PUNCT
fuelectenerg-3144	1325	56	flop	flop	NOUN
fuelectenerg-3144	1325	57	on	on	ADP
fuelectenerg-3144	1325	58	a	a	DET
fuelectenerg-3144	1325	59	single	single	ADJ
fuelectenerg-3144	1325	60	state	state	NOUN
fuelectenerg-3144	1325	61	or	or	CCONJ
fuelectenerg-3144	1325	62	input	input	NOUN
fuelectenerg-3144	1325	63	variable	variable	NOUN
fuelectenerg-3144	1325	64	requires	require	VERB
fuelectenerg-3144	1325	65	either	either	CCONJ
fuelectenerg-3144	1325	66	ns(ns	ns(ns	ADJ
fuelectenerg-3144	1325	67	−	−	PROPN
fuelectenerg-3144	1325	68	1)/2	1)/2	NUM
fuelectenerg-3144	1325	69	(	(	PUNCT
fuelectenerg-3144	1325	70	for	for	ADP
fuelectenerg-3144	1325	71	a	a	DET
fuelectenerg-3144	1325	72	state	state	NOUN
fuelectenerg-3144	1325	73	variable	variable	NOUN
fuelectenerg-3144	1325	74	)	)	PUNCT
fuelectenerg-3144	1325	75	or	or	CCONJ
fuelectenerg-3144	1325	76	ni(ni	ni(ni	PROPN
fuelectenerg-3144	1325	77	−	−	PROPN
fuelectenerg-3144	1325	78	1)/2	1)/2	NUM
fuelectenerg-3144	1325	79	(	(	PUNCT
fuelectenerg-3144	1325	80	for	for	ADP
fuelectenerg-3144	1325	81	an	an	DET
fuelectenerg-3144	1325	82	input	input	NOUN
fuelectenerg-3144	1325	83	variable	variable	NOUN
fuelectenerg-3144	1325	84	)	)	PUNCT
fuelectenerg-3144	1325	85	partial	partial	ADJ
fuelectenerg-3144	1325	86	dependency	dependency	NOUN
fuelectenerg-3144	1325	87	checkers	checker	NOUN
fuelectenerg-3144	1325	88	.	.	PUNCT
fuelectenerg-3144	1326	1	combining	combine	VERB
fuelectenerg-3144	1326	2	with	with	ADP
fuelectenerg-3144	1326	3	the	the	DET
fuelectenerg-3144	1326	4	previously	previously	ADV
fuelectenerg-3144	1326	5	derived	derive	VERB
fuelectenerg-3144	1326	6	complexity	complexity	NOUN
fuelectenerg-3144	1326	7	for	for	ADP
fuelectenerg-3144	1326	8	a	a	DET
fuelectenerg-3144	1326	9	single	single	ADJ
fuelectenerg-3144	1326	10	partial	partial	ADJ
fuelectenerg-3144	1326	11	dependency	dependency	NOUN
fuelectenerg-3144	1326	12	checker	checker	NOUN
fuelectenerg-3144	1326	13	gives	give	VERB
fuelectenerg-3144	1326	14	o(ns	o(ns	PROPN
fuelectenerg-3144	1326	15	3	3	NUM
fuelectenerg-3144	1326	16	)	)	PUNCT
fuelectenerg-3144	1326	17	(	(	PUNCT
fuelectenerg-3144	1326	18	for	for	ADP
fuelectenerg-3144	1326	19	a	a	DET
fuelectenerg-3144	1326	20	state	state	NOUN
fuelectenerg-3144	1326	21	variable	variable	NOUN
fuelectenerg-3144	1326	22	)	)	PUNCT
fuelectenerg-3144	1326	23	or	or	CCONJ
fuelectenerg-3144	1326	24	o(ni	o(ni	NUM
fuelectenerg-3144	1326	25	2(ns	2(ns	NOUN
fuelectenerg-3144	1326	26	+	+	CCONJ
fuelectenerg-3144	1326	27	logni	logni	NOUN
fuelectenerg-3144	1326	28	)	)	PUNCT
fuelectenerg-3144	1326	29	)	)	PUNCT
fuelectenerg-3144	1326	30	(	(	PUNCT
fuelectenerg-3144	1326	31	for	for	ADP
fuelectenerg-3144	1326	32	an	an	DET
fuelectenerg-3144	1326	33	input	input	NOUN
fuelectenerg-3144	1326	34	variable	variable	NOUN
fuelectenerg-3144	1326	35	)	)	PUNCT
fuelectenerg-3144	1326	36	.	.	PUNCT
fuelectenerg-3144	1327	1	the	the	DET
fuelectenerg-3144	1327	2	central	central	ADJ
fuelectenerg-3144	1327	3	toffoli	toffoli	PROPN
fuelectenerg-3144	1327	4	gate	gate	NOUN
fuelectenerg-3144	1327	5	in	in	ADP
fuelectenerg-3144	1327	6	figure	figure	NOUN
fuelectenerg-3144	1327	7	16	16	NUM
fuelectenerg-3144	1327	8	has	have	VERB
fuelectenerg-3144	1327	9	either	either	CCONJ
fuelectenerg-3144	1327	10	ns(ns	ns(ns	ADJ
fuelectenerg-3144	1327	11	−	−	PROPN
fuelectenerg-3144	1327	12	1)/2	1)/2	NUM
fuelectenerg-3144	1327	13	or	or	CCONJ
fuelectenerg-3144	1327	14	ni(ni	ni(ni	PROPN
fuelectenerg-3144	1327	15	−	−	PROPN
fuelectenerg-3144	1327	16	1)/2	1)/2	NUM
fuelectenerg-3144	1327	17	control	control	NOUN
fuelectenerg-3144	1327	18	qubits	qubit	NOUN
fuelectenerg-3144	1327	19	,	,	PUNCT
fuelectenerg-3144	1327	20	so	so	SCONJ
fuelectenerg-3144	1327	21	its	its	PRON
fuelectenerg-3144	1327	22	time	time	NOUN
fuelectenerg-3144	1327	23	complexity	complexity	NOUN
fuelectenerg-3144	1327	24	is	be	AUX
fuelectenerg-3144	1327	25	dominated	dominate	VERB
fuelectenerg-3144	1327	26	by	by	ADP
fuelectenerg-3144	1327	27	that	that	PRON
fuelectenerg-3144	1327	28	of	of	ADP
fuelectenerg-3144	1327	29	the	the	DET
fuelectenerg-3144	1327	30	partial	partial	ADJ
fuelectenerg-3144	1327	31	dependency	dependency	NOUN
fuelectenerg-3144	1327	32	checkers	checker	NOUN
fuelectenerg-3144	1327	33	.	.	PUNCT
fuelectenerg-3144	1328	1	in	in	ADP
fuelectenerg-3144	1328	2	figure	figure	NOUN
fuelectenerg-3144	1328	3	19	19	NUM
fuelectenerg-3144	1328	4	,	,	PUNCT
fuelectenerg-3144	1328	5	we	we	PRON
fuelectenerg-3144	1328	6	can	can	AUX
fuelectenerg-3144	1328	7	see	see	VERB
fuelectenerg-3144	1328	8	that	that	SCONJ
fuelectenerg-3144	1328	9	there	there	PRON
fuelectenerg-3144	1328	10	are	be	VERB
fuelectenerg-3144	1328	11	ns	ns	NUM
fuelectenerg-3144	1328	12	2	2	NUM
fuelectenerg-3144	1328	13	=	=	SYM
fuelectenerg-3144	1328	14	(	(	PUNCT
fuelectenerg-3144	1328	15	logns	logns	PROPN
fuelectenerg-3144	1328	16	)	)	PUNCT
fuelectenerg-3144	1328	17	2	2	NUM
fuelectenerg-3144	1328	18	checks	check	NOUN
fuelectenerg-3144	1328	19	for	for	ADP
fuelectenerg-3144	1328	20	dependency	dependency	NOUN
fuelectenerg-3144	1328	21	of	of	ADP
fuelectenerg-3144	1328	22	q+	q+	ADP
fuelectenerg-3144	1328	23	i	i	PRON
fuelectenerg-3144	1328	24	(	(	PUNCT
fuelectenerg-3144	1328	25	for	for	ADP
fuelectenerg-3144	1328	26	any	any	DET
fuelectenerg-3144	1328	27	i	i	NOUN
fuelectenerg-3144	1328	28	)	)	PUNCT
fuelectenerg-3144	1328	29	on	on	ADP
fuelectenerg-3144	1328	30	a	a	DET
fuelectenerg-3144	1328	31	state	state	NOUN
fuelectenerg-3144	1328	32	variable	variable	NOUN
fuelectenerg-3144	1328	33	,	,	PUNCT
fuelectenerg-3144	1328	34	and	and	CCONJ
fuelectenerg-3144	1328	35	nsni	nsni	NOUN
fuelectenerg-3144	1328	36	=	=	SYM
fuelectenerg-3144	1328	37	logns	logn	VERB
fuelectenerg-3144	1328	38	logni	logni	NOUN
fuelectenerg-3144	1328	39	checks	check	NOUN
fuelectenerg-3144	1328	40	for	for	ADP
fuelectenerg-3144	1328	41	dependency	dependency	NOUN
fuelectenerg-3144	1328	42	on	on	ADP
fuelectenerg-3144	1328	43	an	an	DET
fuelectenerg-3144	1328	44	input	input	NOUN
fuelectenerg-3144	1328	45	variable	variable	NOUN
fuelectenerg-3144	1328	46	.	.	PUNCT
fuelectenerg-3144	1329	1	therefore	therefore	ADV
fuelectenerg-3144	1329	2	,	,	PUNCT
fuelectenerg-3144	1329	3	the	the	DET
fuelectenerg-3144	1329	4	total	total	ADJ
fuelectenerg-3144	1329	5	complexity	complexity	NOUN
fuelectenerg-3144	1329	6	of	of	ADP
fuelectenerg-3144	1329	7	all	all	DET
fuelectenerg-3144	1329	8	the	the	DET
fuelectenerg-3144	1329	9	dependency	dependency	NOUN
fuelectenerg-3144	1329	10	checkers	checker	NOUN
fuelectenerg-3144	1329	11	in	in	ADP
fuelectenerg-3144	1329	12	the	the	DET
fuelectenerg-3144	1329	13	circuit	circuit	NOUN
fuelectenerg-3144	1329	14	from	from	ADP
fuelectenerg-3144	1329	15	figure	figure	NOUN
fuelectenerg-3144	1329	16	19	19	NUM
fuelectenerg-3144	1329	17	is	be	AUX
fuelectenerg-3144	1329	18	(	(	PUNCT
fuelectenerg-3144	1329	19	logns	logn	NOUN
fuelectenerg-3144	1329	20	)	)	PUNCT
fuelectenerg-3144	1329	21	2	2	NUM
fuelectenerg-3144	1329	22	·	·	PUNCT
fuelectenerg-3144	1329	23	o(ns	o(ns	NUM
fuelectenerg-3144	1329	24	3	3	NUM
fuelectenerg-3144	1329	25	)	)	PUNCT
fuelectenerg-3144	1329	26	+	+	NUM
fuelectenerg-3144	1329	27	logns	logn	VERB
fuelectenerg-3144	1329	28	logni	logni	NOUN
fuelectenerg-3144	1329	29	·	·	PUNCT
fuelectenerg-3144	1329	30	o(ni	o(ni	NUM
fuelectenerg-3144	1329	31	2(ns	2(ns	NOUN
fuelectenerg-3144	1329	32	+	+	CCONJ
fuelectenerg-3144	1329	33	logni	logni	NOUN
fuelectenerg-3144	1329	34	)	)	PUNCT
fuelectenerg-3144	1329	35	)	)	PUNCT
fuelectenerg-3144	1330	1	=	=	PUNCT
fuelectenerg-3144	1330	2	o(ns	o(ns	PROPN
fuelectenerg-3144	1330	3	3(logns	3(logns	NUM
fuelectenerg-3144	1330	4	)	)	PUNCT
fuelectenerg-3144	1330	5	2	2	NUM
fuelectenerg-3144	1331	1	+	+	NOUN
fuelectenerg-3144	1331	2	ni	ni	NOUN
fuelectenerg-3144	1331	3	2(ns	2(ns	NOUN
fuelectenerg-3144	1331	4	+	+	CCONJ
fuelectenerg-3144	1331	5	logni)(logns	logni)(logns	ADJ
fuelectenerg-3144	1331	6	logni	logni	NOUN
fuelectenerg-3144	1331	7	)	)	PUNCT
fuelectenerg-3144	1331	8	)	)	PUNCT
fuelectenerg-3144	1331	9	.	.	PUNCT
fuelectenerg-3144	1332	1	(	(	PUNCT
fuelectenerg-3144	1332	2	7	7	X
fuelectenerg-3144	1332	3	)	)	PUNCT
fuelectenerg-3144	1332	4	the	the	DET
fuelectenerg-3144	1332	5	complexity	complexity	NOUN
fuelectenerg-3144	1332	6	of	of	ADP
fuelectenerg-3144	1332	7	the	the	DET
fuelectenerg-3144	1332	8	incrementer	incrementer	NOUN
fuelectenerg-3144	1332	9	circuits	circuit	NOUN
fuelectenerg-3144	1332	10	in	in	ADP
fuelectenerg-3144	1332	11	figure	figure	NOUN
fuelectenerg-3144	1332	12	19	19	NUM
fuelectenerg-3144	1332	13	is	be	AUX
fuelectenerg-3144	1332	14	clearly	clearly	ADV
fuelectenerg-3144	1332	15	dominated	dominate	VERB
fuelectenerg-3144	1332	16	by	by	ADP
fuelectenerg-3144	1332	17	that	that	PRON
fuelectenerg-3144	1332	18	of	of	ADP
fuelectenerg-3144	1332	19	the	the	DET
fuelectenerg-3144	1332	20	dependency	dependency	NOUN
fuelectenerg-3144	1332	21	checkers	checker	NOUN
fuelectenerg-3144	1332	22	,	,	PUNCT
fuelectenerg-3144	1332	23	so	so	ADV
fuelectenerg-3144	1332	24	the	the	DET
fuelectenerg-3144	1332	25	preceding	precede	VERB
fuelectenerg-3144	1332	26	expression	expression	NOUN
fuelectenerg-3144	1332	27	gives	give	VERB
fuelectenerg-3144	1332	28	the	the	DET
fuelectenerg-3144	1332	29	time	time	NOUN
fuelectenerg-3144	1332	30	complexity	complexity	NOUN
fuelectenerg-3144	1332	31	for	for	ADP
fuelectenerg-3144	1332	32	the	the	DET
fuelectenerg-3144	1332	33	entire	entire	ADJ
fuelectenerg-3144	1332	34	cost	cost	NOUN
fuelectenerg-3144	1332	35	-	-	PUNCT
fuelectenerg-3144	1332	36	calculating	calculate	VERB
fuelectenerg-3144	1332	37	portion	portion	NOUN
fuelectenerg-3144	1332	38	of	of	ADP
fuelectenerg-3144	1332	39	the	the	DET
fuelectenerg-3144	1332	40	quantum	quantum	ADJ
fuelectenerg-3144	1332	41	oracle	oracle	NOUN
fuelectenerg-3144	1332	42	.	.	PUNCT
fuelectenerg-3144	1333	1	finally	finally	ADV
fuelectenerg-3144	1333	2	,	,	PUNCT
fuelectenerg-3144	1333	3	we	we	PRON
fuelectenerg-3144	1333	4	must	must	AUX
fuelectenerg-3144	1333	5	consider	consider	VERB
fuelectenerg-3144	1333	6	the	the	DET
fuelectenerg-3144	1333	7	complexity	complexity	NOUN
fuelectenerg-3144	1333	8	of	of	ADP
fuelectenerg-3144	1333	9	the	the	DET
fuelectenerg-3144	1333	10	two	two	NUM
fuelectenerg-3144	1333	11	other	other	ADJ
fuelectenerg-3144	1333	12	components	component	NOUN
fuelectenerg-3144	1333	13	of	of	ADP
fuelectenerg-3144	1333	14	the	the	DET
fuelectenerg-3144	1333	15	oracle	oracle	NOUN
fuelectenerg-3144	1333	16	,	,	PUNCT
fuelectenerg-3144	1333	17	as	as	SCONJ
fuelectenerg-3144	1333	18	shown	show	VERB
fuelectenerg-3144	1333	19	in	in	ADP
fuelectenerg-3144	1333	20	figure	figure	NOUN
fuelectenerg-3144	1333	21	22	22	NUM
fuelectenerg-3144	1333	22	—	—	PUNCT
fuelectenerg-3144	1333	23	the	the	DET
fuelectenerg-3144	1333	24	threshold	threshold	NOUN
fuelectenerg-3144	1333	25	circuit	circuit	NOUN
fuelectenerg-3144	1333	26	and	and	CCONJ
fuelectenerg-3144	1333	27	uniquenesschecking	uniquenesschecke	VERB
fuelectenerg-3144	1333	28	circuit	circuit	NOUN
fuelectenerg-3144	1333	29	.	.	PUNCT
fuelectenerg-3144	1334	1	the	the	DET
fuelectenerg-3144	1334	2	complexity	complexity	NOUN
fuelectenerg-3144	1334	3	of	of	ADP
fuelectenerg-3144	1334	4	the	the	DET
fuelectenerg-3144	1334	5	cost	cost	NOUN
fuelectenerg-3144	1334	6	-	-	PUNCT
fuelectenerg-3144	1334	7	calculating	calculate	VERB
fuelectenerg-3144	1334	8	circuit	circuit	NOUN
fuelectenerg-3144	1334	9	clearly	clearly	ADV
fuelectenerg-3144	1334	10	dominates	dominate	VERB
fuelectenerg-3144	1334	11	that	that	PRON
fuelectenerg-3144	1334	12	of	of	ADP
fuelectenerg-3144	1334	13	the	the	DET
fuelectenerg-3144	1334	14	threshold	threshold	NOUN
fuelectenerg-3144	1334	15	circuit	circuit	NOUN
fuelectenerg-3144	1334	16	,	,	PUNCT
fuelectenerg-3144	1334	17	but	but	CCONJ
fuelectenerg-3144	1334	18	the	the	DET
fuelectenerg-3144	1334	19	situation	situation	NOUN
fuelectenerg-3144	1334	20	with	with	ADP
fuelectenerg-3144	1334	21	respect	respect	NOUN
fuelectenerg-3144	1334	22	to	to	ADP
fuelectenerg-3144	1334	23	40	40	NUM
fuelectenerg-3144	1334	24	the	the	DET
fuelectenerg-3144	1334	25	uniqueness	uniqueness	NOUN
fuelectenerg-3144	1334	26	-	-	PUNCT
fuelectenerg-3144	1334	27	checking	check	VERB
fuelectenerg-3144	1334	28	circuit	circuit	NOUN
fuelectenerg-3144	1334	29	is	be	AUX
fuelectenerg-3144	1334	30	less	less	ADV
fuelectenerg-3144	1334	31	clear	clear	ADJ
fuelectenerg-3144	1334	32	.	.	PUNCT
fuelectenerg-3144	1335	1	as	as	SCONJ
fuelectenerg-3144	1335	2	seen	see	VERB
fuelectenerg-3144	1335	3	in	in	ADP
fuelectenerg-3144	1335	4	figure	figure	NOUN
fuelectenerg-3144	1335	5	21	21	NUM
fuelectenerg-3144	1335	6	,	,	PUNCT
fuelectenerg-3144	1335	7	the	the	DET
fuelectenerg-3144	1335	8	uniqueness	uniqueness	NOUN
fuelectenerg-3144	1335	9	-	-	PUNCT
fuelectenerg-3144	1335	10	checking	check	VERB
fuelectenerg-3144	1335	11	circuit	circuit	NOUN
fuelectenerg-3144	1335	12	performs	perform	VERB
fuelectenerg-3144	1335	13	a	a	DET
fuelectenerg-3144	1335	14	comparison	comparison	NOUN
fuelectenerg-3144	1335	15	for	for	ADP
fuelectenerg-3144	1335	16	every	every	DET
fuelectenerg-3144	1335	17	possible	possible	ADJ
fuelectenerg-3144	1335	18	pair	pair	NOUN
fuelectenerg-3144	1335	19	of	of	ADP
fuelectenerg-3144	1335	20	states	state	NOUN
fuelectenerg-3144	1335	21	,	,	PUNCT
fuelectenerg-3144	1335	22	of	of	ADP
fuelectenerg-3144	1335	23	which	which	PRON
fuelectenerg-3144	1335	24	there	there	PRON
fuelectenerg-3144	1335	25	are	be	VERB
fuelectenerg-3144	1335	26	ns(ns−1)/2	ns(ns−1)/2	PROPN
fuelectenerg-3144	1335	27	,	,	PUNCT
fuelectenerg-3144	1335	28	and	and	CCONJ
fuelectenerg-3144	1335	29	every	every	DET
fuelectenerg-3144	1335	30	possible	possible	ADJ
fuelectenerg-3144	1335	31	pair	pair	NOUN
fuelectenerg-3144	1335	32	of	of	ADP
fuelectenerg-3144	1335	33	input	input	NOUN
fuelectenerg-3144	1335	34	values	value	NOUN
fuelectenerg-3144	1335	35	,	,	PUNCT
fuelectenerg-3144	1335	36	of	of	ADP
fuelectenerg-3144	1335	37	which	which	PRON
fuelectenerg-3144	1335	38	there	there	PRON
fuelectenerg-3144	1335	39	are	be	VERB
fuelectenerg-3144	1335	40	ni(ni	ni(ni	PROPN
fuelectenerg-3144	1335	41	−	−	PROPN
fuelectenerg-3144	1335	42	1)/2	1)/2	NUM
fuelectenerg-3144	1335	43	.	.	PUNCT
fuelectenerg-3144	1336	1	furthermore	furthermore	ADV
fuelectenerg-3144	1336	2	,	,	PUNCT
fuelectenerg-3144	1336	3	a	a	DET
fuelectenerg-3144	1336	4	comparison	comparison	NOUN
fuelectenerg-3144	1336	5	of	of	ADP
fuelectenerg-3144	1336	6	a	a	DET
fuelectenerg-3144	1336	7	pair	pair	NOUN
fuelectenerg-3144	1336	8	of	of	ADP
fuelectenerg-3144	1336	9	states	state	NOUN
fuelectenerg-3144	1336	10	has	have	VERB
fuelectenerg-3144	1336	11	complexity	complexity	NOUN
fuelectenerg-3144	1336	12	o(ns	o(ns	NOUN
fuelectenerg-3144	1336	13	)	)	PUNCT
fuelectenerg-3144	1336	14	=	=	SYM
fuelectenerg-3144	1336	15	o(logns	o(logn	NOUN
fuelectenerg-3144	1336	16	)	)	PUNCT
fuelectenerg-3144	1336	17	,	,	PUNCT
fuelectenerg-3144	1336	18	since	since	SCONJ
fuelectenerg-3144	1336	19	each	each	DET
fuelectenerg-3144	1336	20	individual	individual	ADJ
fuelectenerg-3144	1336	21	state	state	NOUN
fuelectenerg-3144	1336	22	variable	variable	ADJ
fuelectenerg-3144	1336	23	assignment	assignment	NOUN
fuelectenerg-3144	1336	24	must	must	AUX
fuelectenerg-3144	1336	25	be	be	AUX
fuelectenerg-3144	1336	26	compared	compare	VERB
fuelectenerg-3144	1336	27	between	between	ADP
fuelectenerg-3144	1336	28	the	the	DET
fuelectenerg-3144	1336	29	two	two	NUM
fuelectenerg-3144	1336	30	states	state	NOUN
fuelectenerg-3144	1336	31	,	,	PUNCT
fuelectenerg-3144	1336	32	and	and	CCONJ
fuelectenerg-3144	1336	33	a	a	DET
fuelectenerg-3144	1336	34	comparison	comparison	NOUN
fuelectenerg-3144	1336	35	of	of	ADP
fuelectenerg-3144	1336	36	a	a	DET
fuelectenerg-3144	1336	37	pair	pair	NOUN
fuelectenerg-3144	1336	38	of	of	ADP
fuelectenerg-3144	1336	39	inputs	input	NOUN
fuelectenerg-3144	1336	40	similarly	similarly	ADV
fuelectenerg-3144	1336	41	has	have	AUX
fuelectenerg-3144	1336	42	complexityo(ni	complexityo(ni	PROPN
fuelectenerg-3144	1336	43	)	)	PUNCT
fuelectenerg-3144	1336	44	=	=	SYM
fuelectenerg-3144	1336	45	o(logni	o(logni	NOUN
fuelectenerg-3144	1336	46	)	)	PUNCT
fuelectenerg-3144	1336	47	.	.	PUNCT
fuelectenerg-3144	1337	1	the	the	DET
fuelectenerg-3144	1337	2	final	final	ADJ
fuelectenerg-3144	1337	3	toffoli	toffoli	PROPN
fuelectenerg-3144	1337	4	gate	gate	NOUN
fuelectenerg-3144	1337	5	in	in	ADP
fuelectenerg-3144	1337	6	figure	figure	NOUN
fuelectenerg-3144	1337	7	21	21	NUM
fuelectenerg-3144	1337	8	has	have	VERB
fuelectenerg-3144	1337	9	ns(ns−1)/2+ni(ni−1)/2	ns(ns−1)/2+ni(ni−1)/2	NOUN
fuelectenerg-3144	1337	10	control	control	NOUN
fuelectenerg-3144	1337	11	qubits	qubit	NOUN
fuelectenerg-3144	1337	12	,	,	PUNCT
fuelectenerg-3144	1337	13	giving	give	VERB
fuelectenerg-3144	1337	14	the	the	DET
fuelectenerg-3144	1337	15	entire	entire	ADJ
fuelectenerg-3144	1337	16	uniqueness	uniqueness	NOUN
fuelectenerg-3144	1337	17	-	-	PUNCT
fuelectenerg-3144	1337	18	checking	check	VERB
fuelectenerg-3144	1337	19	circuit	circuit	NOUN
fuelectenerg-3144	1337	20	a	a	DET
fuelectenerg-3144	1337	21	complexity	complexity	NOUN
fuelectenerg-3144	1337	22	of	of	ADP
fuelectenerg-3144	1337	23	ns(ns	ns(ns	ADJ
fuelectenerg-3144	1337	24	−	−	PROPN
fuelectenerg-3144	1337	25	1	1	NUM
fuelectenerg-3144	1337	26	)	)	SYM
fuelectenerg-3144	1337	27	2	2	NUM
fuelectenerg-3144	1337	28	·	·	PUNCT
fuelectenerg-3144	1337	29	o(logns	o(logn	VERB
fuelectenerg-3144	1337	30	)	)	PUNCT
fuelectenerg-3144	1337	31	+	+	CCONJ
fuelectenerg-3144	1337	32	ni(ni	ni(ni	PROPN
fuelectenerg-3144	1337	33	−	−	NOUN
fuelectenerg-3144	1337	34	1	1	NUM
fuelectenerg-3144	1337	35	)	)	SYM
fuelectenerg-3144	1337	36	2	2	NUM
fuelectenerg-3144	1337	37	·	·	PUNCT
fuelectenerg-3144	1337	38	o(logni	o(logni	NOUN
fuelectenerg-3144	1337	39	)	)	PUNCT
fuelectenerg-3144	1338	1	+	+	NOUN
fuelectenerg-3144	1338	2	o	o	X
fuelectenerg-3144	1338	3	(	(	PUNCT
fuelectenerg-3144	1338	4	ns(ns	ns(ns	ADJ
fuelectenerg-3144	1338	5	−	−	ADP
fuelectenerg-3144	1338	6	1	1	NUM
fuelectenerg-3144	1338	7	)	)	SYM
fuelectenerg-3144	1338	8	2	2	NUM
fuelectenerg-3144	1338	9	+	+	CCONJ
fuelectenerg-3144	1338	10	ni(ni	ni(ni	PROPN
fuelectenerg-3144	1338	11	−	−	NOUN
fuelectenerg-3144	1338	12	1	1	NUM
fuelectenerg-3144	1338	13	)	)	PUNCT
fuelectenerg-3144	1338	14	2	2	NUM
fuelectenerg-3144	1338	15	)	)	PUNCT
fuelectenerg-3144	1338	16	=	=	VERB
fuelectenerg-3144	1338	17	o(n2	o(n2	ADV
fuelectenerg-3144	1338	18	s	s	AUX
fuelectenerg-3144	1338	19	logns	logn	NOUN
fuelectenerg-3144	1338	20	+	+	SYM
fuelectenerg-3144	1338	21	n2	n2	ADJ
fuelectenerg-3144	1338	22	i	i	PRON
fuelectenerg-3144	1338	23	logni	logni	NOUN
fuelectenerg-3144	1338	24	)	)	PUNCT
fuelectenerg-3144	1338	25	.	.	PUNCT
fuelectenerg-3144	1339	1	comparison	comparison	NOUN
fuelectenerg-3144	1339	2	with	with	ADP
fuelectenerg-3144	1339	3	eq	eq	NOUN
fuelectenerg-3144	1339	4	.	.	PROPN
fuelectenerg-3144	1339	5	7	7	NUM
fuelectenerg-3144	1339	6	shows	show	VERB
fuelectenerg-3144	1339	7	that	that	SCONJ
fuelectenerg-3144	1339	8	the	the	DET
fuelectenerg-3144	1339	9	cost	cost	NOUN
fuelectenerg-3144	1339	10	-	-	PUNCT
fuelectenerg-3144	1339	11	calculating	calculate	VERB
fuelectenerg-3144	1339	12	circuit	circuit	NOUN
fuelectenerg-3144	1339	13	dominates	dominate	VERB
fuelectenerg-3144	1339	14	the	the	DET
fuelectenerg-3144	1339	15	uniqueness	uniqueness	NOUN
fuelectenerg-3144	1339	16	-	-	PUNCT
fuelectenerg-3144	1339	17	checking	check	VERB
fuelectenerg-3144	1339	18	circuit	circuit	NOUN
fuelectenerg-3144	1339	19	in	in	ADP
fuelectenerg-3144	1339	20	terms	term	NOUN
fuelectenerg-3144	1339	21	of	of	ADP
fuelectenerg-3144	1339	22	complexity	complexity	NOUN
fuelectenerg-3144	1339	23	.	.	PUNCT
fuelectenerg-3144	1340	1	therefore	therefore	ADV
fuelectenerg-3144	1340	2	,	,	PUNCT
fuelectenerg-3144	1340	3	the	the	DET
fuelectenerg-3144	1340	4	run	run	NOUN
fuelectenerg-3144	1340	5	time	time	NOUN
fuelectenerg-3144	1340	6	complexity	complexity	NOUN
fuelectenerg-3144	1340	7	of	of	ADP
fuelectenerg-3144	1340	8	the	the	DET
fuelectenerg-3144	1340	9	entire	entire	ADJ
fuelectenerg-3144	1340	10	quantum	quantum	NOUN
fuelectenerg-3144	1340	11	oracle	oracle	NOUN
fuelectenerg-3144	1340	12	is	be	AUX
fuelectenerg-3144	1340	13	still	still	ADV
fuelectenerg-3144	1340	14	given	give	VERB
fuelectenerg-3144	1340	15	by	by	ADP
fuelectenerg-3144	1340	16	eq	eq	ADJ
fuelectenerg-3144	1340	17	.	.	PROPN
fuelectenerg-3144	1340	18	7	7	X
fuelectenerg-3144	1340	19	.	.	X
fuelectenerg-3144	1341	1	as	as	SCONJ
fuelectenerg-3144	1341	2	we	we	PRON
fuelectenerg-3144	1341	3	recall	recall	VERB
fuelectenerg-3144	1341	4	from	from	ADP
fuelectenerg-3144	1341	5	section	section	NOUN
fuelectenerg-3144	1341	6	3.2	3.2	NUM
fuelectenerg-3144	1341	7	,	,	PUNCT
fuelectenerg-3144	1341	8	our	our	PRON
fuelectenerg-3144	1341	9	proposed	propose	VERB
fuelectenerg-3144	1341	10	quantum	quantum	ADJ
fuelectenerg-3144	1341	11	algorithm	algorithm	NOUN
fuelectenerg-3144	1341	12	involves	involve	VERB
fuelectenerg-3144	1341	13	executing	execute	VERB
fuelectenerg-3144	1341	14	grover	grover	PROPN
fuelectenerg-3144	1341	15	’s	’s	PART
fuelectenerg-3144	1341	16	algorithm	algorithm	PROPN
fuelectenerg-3144	1341	17	multiple	multiple	ADJ
fuelectenerg-3144	1341	18	times	time	NOUN
fuelectenerg-3144	1341	19	to	to	PART
fuelectenerg-3144	1341	20	find	find	VERB
fuelectenerg-3144	1341	21	an	an	DET
fuelectenerg-3144	1341	22	optimal	optimal	ADJ
fuelectenerg-3144	1341	23	encoding	encoding	NOUN
fuelectenerg-3144	1341	24	for	for	ADP
fuelectenerg-3144	1341	25	an	an	DET
fuelectenerg-3144	1341	26	fsm	fsm	PROPN
fuelectenerg-3144	1341	27	.	.	PUNCT
fuelectenerg-3144	1342	1	it	it	PRON
fuelectenerg-3144	1342	2	is	be	AUX
fuelectenerg-3144	1342	3	uncertain	uncertain	ADJ
fuelectenerg-3144	1342	4	exactly	exactly	ADV
fuelectenerg-3144	1342	5	how	how	SCONJ
fuelectenerg-3144	1342	6	many	many	ADJ
fuelectenerg-3144	1342	7	executions	execution	NOUN
fuelectenerg-3144	1342	8	of	of	ADP
fuelectenerg-3144	1342	9	grover	grover	NOUN
fuelectenerg-3144	1342	10	’s	’s	PART
fuelectenerg-3144	1342	11	algorithm	algorithm	NOUN
fuelectenerg-3144	1342	12	are	be	AUX
fuelectenerg-3144	1342	13	required	require	VERB
fuelectenerg-3144	1342	14	,	,	PUNCT
fuelectenerg-3144	1342	15	as	as	SCONJ
fuelectenerg-3144	1342	16	we	we	PRON
fuelectenerg-3144	1342	17	do	do	AUX
fuelectenerg-3144	1342	18	not	not	PART
fuelectenerg-3144	1342	19	consider	consider	VERB
fuelectenerg-3144	1342	20	the	the	DET
fuelectenerg-3144	1342	21	details	detail	NOUN
fuelectenerg-3144	1342	22	of	of	ADP
fuelectenerg-3144	1342	23	the	the	DET
fuelectenerg-3144	1342	24	search	search	NOUN
fuelectenerg-3144	1342	25	procedure	procedure	NOUN
fuelectenerg-3144	1342	26	used	use	VERB
fuelectenerg-3144	1342	27	to	to	PART
fuelectenerg-3144	1342	28	find	find	VERB
fuelectenerg-3144	1342	29	the	the	DET
fuelectenerg-3144	1342	30	minimum	minimum	ADJ
fuelectenerg-3144	1342	31	cost	cost	NOUN
fuelectenerg-3144	1342	32	.	.	PUNCT
fuelectenerg-3144	1343	1	however	however	ADV
fuelectenerg-3144	1343	2	,	,	PUNCT
fuelectenerg-3144	1343	3	we	we	PRON
fuelectenerg-3144	1343	4	may	may	AUX
fuelectenerg-3144	1343	5	consider	consider	VERB
fuelectenerg-3144	1343	6	the	the	DET
fuelectenerg-3144	1343	7	time	time	NOUN
fuelectenerg-3144	1343	8	complexity	complexity	NOUN
fuelectenerg-3144	1343	9	of	of	ADP
fuelectenerg-3144	1343	10	just	just	ADV
fuelectenerg-3144	1343	11	a	a	DET
fuelectenerg-3144	1343	12	single	single	ADJ
fuelectenerg-3144	1343	13	execution	execution	NOUN
fuelectenerg-3144	1343	14	of	of	ADP
fuelectenerg-3144	1343	15	grover	grover	NOUN
fuelectenerg-3144	1343	16	’s	’s	PART
fuelectenerg-3144	1343	17	algorithm	algorithm	NOUN
fuelectenerg-3144	1343	18	.	.	PUNCT
fuelectenerg-3144	1344	1	this	this	PRON
fuelectenerg-3144	1344	2	does	do	AUX
fuelectenerg-3144	1344	3	not	not	PART
fuelectenerg-3144	1344	4	affect	affect	VERB
fuelectenerg-3144	1344	5	our	our	PRON
fuelectenerg-3144	1344	6	ability	ability	NOUN
fuelectenerg-3144	1344	7	to	to	PART
fuelectenerg-3144	1344	8	compare	compare	VERB
fuelectenerg-3144	1344	9	the	the	DET
fuelectenerg-3144	1344	10	performance	performance	NOUN
fuelectenerg-3144	1344	11	of	of	ADP
fuelectenerg-3144	1344	12	quantum	quantum	NOUN
fuelectenerg-3144	1344	13	and	and	CCONJ
fuelectenerg-3144	1344	14	classical	classical	ADJ
fuelectenerg-3144	1344	15	algorithms	algorithm	NOUN
fuelectenerg-3144	1344	16	because	because	SCONJ
fuelectenerg-3144	1344	17	they	they	PRON
fuelectenerg-3144	1344	18	both	both	PRON
fuelectenerg-3144	1344	19	must	must	AUX
fuelectenerg-3144	1344	20	perform	perform	VERB
fuelectenerg-3144	1344	21	a	a	DET
fuelectenerg-3144	1344	22	search	search	NOUN
fuelectenerg-3144	1344	23	procedure	procedure	NOUN
fuelectenerg-3144	1344	24	as	as	SCONJ
fuelectenerg-3144	1344	25	described	describe	VERB
fuelectenerg-3144	1344	26	in	in	ADP
fuelectenerg-3144	1344	27	section	section	NOUN
fuelectenerg-3144	1344	28	3.2	3.2	NUM
fuelectenerg-3144	1344	29	in	in	ADP
fuelectenerg-3144	1344	30	order	order	NOUN
fuelectenerg-3144	1344	31	to	to	PART
fuelectenerg-3144	1344	32	find	find	VERB
fuelectenerg-3144	1344	33	the	the	DET
fuelectenerg-3144	1344	34	minimum	minimum	ADJ
fuelectenerg-3144	1344	35	possible	possible	ADJ
fuelectenerg-3144	1344	36	cost	cost	NOUN
fuelectenerg-3144	1344	37	.	.	PUNCT
fuelectenerg-3144	1345	1	we	we	PRON
fuelectenerg-3144	1345	2	discussed	discuss	VERB
fuelectenerg-3144	1345	3	in	in	ADP
fuelectenerg-3144	1345	4	section	section	NOUN
fuelectenerg-3144	1345	5	3.1	3.1	NUM
fuelectenerg-3144	1345	6	how	how	SCONJ
fuelectenerg-3144	1345	7	grover	grover	NOUN
fuelectenerg-3144	1345	8	’s	’s	PART
fuelectenerg-3144	1345	9	algorithm	algorithm	NOUN
fuelectenerg-3144	1345	10	(	(	PUNCT
fuelectenerg-3144	1345	11	together	together	ADV
fuelectenerg-3144	1345	12	with	with	ADP
fuelectenerg-3144	1345	13	its	its	PRON
fuelectenerg-3144	1345	14	extensions	extension	NOUN
fuelectenerg-3144	1345	15	for	for	ADP
fuelectenerg-3144	1345	16	the	the	DET
fuelectenerg-3144	1345	17	case	case	NOUN
fuelectenerg-3144	1345	18	of	of	ADP
fuelectenerg-3144	1345	19	multiple	multiple	ADJ
fuelectenerg-3144	1345	20	solutions	solution	NOUN
fuelectenerg-3144	1345	21	)	)	PUNCT
fuelectenerg-3144	1345	22	is	be	AUX
fuelectenerg-3144	1345	23	able	able	ADJ
fuelectenerg-3144	1345	24	to	to	PART
fuelectenerg-3144	1345	25	find	find	VERB
fuelectenerg-3144	1345	26	a	a	DET
fuelectenerg-3144	1345	27	solution	solution	NOUN
fuelectenerg-3144	1345	28	to	to	ADP
fuelectenerg-3144	1345	29	a	a	DET
fuelectenerg-3144	1345	30	satisfaction	satisfaction	NOUN
fuelectenerg-3144	1345	31	problem	problem	NOUN
fuelectenerg-3144	1345	32	,	,	PUNCT
fuelectenerg-3144	1345	33	or	or	CCONJ
fuelectenerg-3144	1345	34	detect	detect	VERB
fuelectenerg-3144	1345	35	the	the	DET
fuelectenerg-3144	1345	36	non	non	NOUN
fuelectenerg-3144	1345	37	-	-	NOUN
fuelectenerg-3144	1345	38	existence	existence	NOUN
fuelectenerg-3144	1345	39	of	of	ADP
fuelectenerg-3144	1345	40	a	a	DET
fuelectenerg-3144	1345	41	solution	solution	NOUN
fuelectenerg-3144	1345	42	,	,	PUNCT
fuelectenerg-3144	1345	43	with	with	ADP
fuelectenerg-3144	1345	44	o	o	PROPN
fuelectenerg-3144	1345	45	(	(	PUNCT
fuelectenerg-3144	1345	46	√	√	NUM
fuelectenerg-3144	1345	47	m	m	NOUN
fuelectenerg-3144	1345	48	)	)	PUNCT
fuelectenerg-3144	1345	49	executions	execution	NOUN
fuelectenerg-3144	1345	50	of	of	ADP
fuelectenerg-3144	1345	51	the	the	DET
fuelectenerg-3144	1345	52	quantum	quantum	NOUN
fuelectenerg-3144	1345	53	oracle	oracle	NOUN
fuelectenerg-3144	1345	54	,	,	PUNCT
fuelectenerg-3144	1345	55	where	where	SCONJ
fuelectenerg-3144	1345	56	m	m	PROPN
fuelectenerg-3144	1345	57	is	be	AUX
fuelectenerg-3144	1345	58	the	the	DET
fuelectenerg-3144	1345	59	size	size	NOUN
fuelectenerg-3144	1345	60	of	of	ADP
fuelectenerg-3144	1345	61	the	the	DET
fuelectenerg-3144	1345	62	search	search	NOUN
fuelectenerg-3144	1345	63	space	space	NOUN
fuelectenerg-3144	1345	64	.	.	PUNCT
fuelectenerg-3144	1346	1	(	(	PUNCT
fuelectenerg-3144	1346	2	we	we	PRON
fuelectenerg-3144	1346	3	have	have	AUX
fuelectenerg-3144	1346	4	used	use	VERB
fuelectenerg-3144	1346	5	m	m	NOUN
fuelectenerg-3144	1346	6	to	to	PART
fuelectenerg-3144	1346	7	avoid	avoid	VERB
fuelectenerg-3144	1346	8	confusion	confusion	NOUN
fuelectenerg-3144	1346	9	with	with	ADP
fuelectenerg-3144	1346	10	the	the	DET
fuelectenerg-3144	1346	11	numbers	number	NOUN
fuelectenerg-3144	1346	12	of	of	ADP
fuelectenerg-3144	1346	13	states	state	NOUN
fuelectenerg-3144	1346	14	and	and	CCONJ
fuelectenerg-3144	1346	15	input	input	NOUN
fuelectenerg-3144	1346	16	values	value	NOUN
fuelectenerg-3144	1346	17	.	.	PUNCT
fuelectenerg-3144	1346	18	)	)	PUNCT
fuelectenerg-3144	1347	1	as	as	SCONJ
fuelectenerg-3144	1347	2	discussed	discuss	VERB
fuelectenerg-3144	1347	3	in	in	ADP
fuelectenerg-3144	1347	4	section	section	NOUN
fuelectenerg-3144	1347	5	5.1	5.1	NUM
fuelectenerg-3144	1347	6	and	and	CCONJ
fuelectenerg-3144	1347	7	shown	show	VERB
fuelectenerg-3144	1347	8	in	in	ADP
fuelectenerg-3144	1347	9	figure	figure	NOUN
fuelectenerg-3144	1347	10	10(b	10(b	NUM
fuelectenerg-3144	1347	11	)	)	PUNCT
fuelectenerg-3144	1347	12	,	,	PUNCT
fuelectenerg-3144	1347	13	our	our	PRON
fuelectenerg-3144	1347	14	proposed	propose	VERB
fuelectenerg-3144	1347	15	oracle	oracle	NOUN
fuelectenerg-3144	1347	16	requires	require	VERB
fuelectenerg-3144	1347	17	nsns	nsns	NOUN
fuelectenerg-3144	1348	1	+	+	PROPN
fuelectenerg-3144	1348	2	nini	nini	X
fuelectenerg-3144	1348	3	=	=	SYM
fuelectenerg-3144	1348	4	o(ns	o(ns	NOUN
fuelectenerg-3144	1348	5	logns	logn	VERB
fuelectenerg-3144	1348	6	+	+	PROPN
fuelectenerg-3144	1348	7	ni	ni	ADJ
fuelectenerg-3144	1348	8	+	+	ADJ
fuelectenerg-3144	1348	9	logni	logni	NOUN
fuelectenerg-3144	1348	10	)	)	PUNCT
fuelectenerg-3144	1348	11	input	input	NOUN
fuelectenerg-3144	1348	12	qubits	qubit	NOUN
fuelectenerg-3144	1348	13	,	,	PUNCT
fuelectenerg-3144	1348	14	corresponding	correspond	VERB
fuelectenerg-3144	1348	15	to	to	ADP
fuelectenerg-3144	1348	16	a	a	DET
fuelectenerg-3144	1348	17	search	search	NOUN
fuelectenerg-3144	1348	18	space	space	NOUN
fuelectenerg-3144	1348	19	of	of	ADP
fuelectenerg-3144	1348	20	size	size	NOUN
fuelectenerg-3144	1348	21	o(2ns	o(2ns	PROPN
fuelectenerg-3144	1348	22	logns+ni+logni	logns+ni+logni	NOUN
fuelectenerg-3144	1348	23	)	)	PUNCT
fuelectenerg-3144	1348	24	=	=	SYM
fuelectenerg-3144	1348	25	o(ns	o(ns	PROPN
fuelectenerg-3144	1348	26	nsni	nsni	NOUN
fuelectenerg-3144	1348	27	ni	ni	NOUN
fuelectenerg-3144	1348	28	)	)	PUNCT
fuelectenerg-3144	1348	29	.	.	PUNCT
fuelectenerg-3144	1349	1	hence	hence	ADV
fuelectenerg-3144	1349	2	,	,	PUNCT
fuelectenerg-3144	1349	3	a	a	DET
fuelectenerg-3144	1349	4	single	single	ADJ
fuelectenerg-3144	1349	5	execution	execution	NOUN
fuelectenerg-3144	1349	6	of	of	ADP
fuelectenerg-3144	1349	7	grover	grover	PROPN
fuelectenerg-3144	1349	8	’s	’s	PART
fuelectenerg-3144	1349	9	algorithm	algorithm	NOUN
fuelectenerg-3144	1349	10	requires	require	VERB
fuelectenerg-3144	1349	11	o	o	NOUN
fuelectenerg-3144	1349	12	(	(	PUNCT
fuelectenerg-3144	1349	13	√	√	PROPN
fuelectenerg-3144	1349	14	ns	ns	PROPN
fuelectenerg-3144	1349	15	nsni	nsni	PROPN
fuelectenerg-3144	1349	16	ni	ni	PROPN
fuelectenerg-3144	1349	17	)	)	PUNCT
fuelectenerg-3144	1349	18	executions	execution	NOUN
fuelectenerg-3144	1349	19	of	of	ADP
fuelectenerg-3144	1349	20	the	the	DET
fuelectenerg-3144	1349	21	quantum	quantum	ADJ
fuelectenerg-3144	1349	22	oracle	oracle	NOUN
fuelectenerg-3144	1349	23	.	.	PUNCT
fuelectenerg-3144	1350	1	the	the	DET
fuelectenerg-3144	1350	2	total	total	ADJ
fuelectenerg-3144	1350	3	complexity	complexity	NOUN
fuelectenerg-3144	1350	4	of	of	ADP
fuelectenerg-3144	1350	5	one	one	NUM
fuelectenerg-3144	1350	6	execution	execution	NOUN
fuelectenerg-3144	1350	7	of	of	ADP
fuelectenerg-3144	1350	8	grover	grover	PROPN
fuelectenerg-3144	1350	9	’s	’s	PART
fuelectenerg-3144	1350	10	algorithm	algorithm	NOUN
fuelectenerg-3144	1350	11	,	,	PUNCT
fuelectenerg-3144	1350	12	taking	take	VERB
fuelectenerg-3144	1350	13	into	into	ADP
fuelectenerg-3144	1350	14	account	account	NOUN
fuelectenerg-3144	1350	15	the	the	DET
fuelectenerg-3144	1350	16	previously	previously	ADV
fuelectenerg-3144	1350	17	determined	determine	VERB
fuelectenerg-3144	1350	18	complexity	complexity	NOUN
fuelectenerg-3144	1350	19	of	of	ADP
fuelectenerg-3144	1350	20	the	the	DET
fuelectenerg-3144	1350	21	oracle	oracle	NOUN
fuelectenerg-3144	1350	22	,	,	PUNCT
fuelectenerg-3144	1350	23	is	be	AUX
fuelectenerg-3144	1350	24	then	then	ADV
fuelectenerg-3144	1350	25	o	o	NOUN
fuelectenerg-3144	1350	26	(	(	PUNCT
fuelectenerg-3144	1350	27	√	√	NUM
fuelectenerg-3144	1350	28	ns	ns	NUM
fuelectenerg-3144	1350	29	nsni	nsni	NOUN
fuelectenerg-3144	1350	30	ni(ns	ni(ns	PROPN
fuelectenerg-3144	1350	31	3(logns	3(logns	NUM
fuelectenerg-3144	1350	32	)	)	PUNCT
fuelectenerg-3144	1350	33	2	2	NUM
fuelectenerg-3144	1351	1	+	+	NOUN
fuelectenerg-3144	1351	2	ni	ni	NOUN
fuelectenerg-3144	1351	3	2(ns	2(ns	NOUN
fuelectenerg-3144	1351	4	+	+	CCONJ
fuelectenerg-3144	1351	5	logni)(logns	logni)(logns	ADJ
fuelectenerg-3144	1351	6	logni	logni	NOUN
fuelectenerg-3144	1351	7	)	)	PUNCT
fuelectenerg-3144	1351	8	)	)	PUNCT
fuelectenerg-3144	1351	9	)	)	PUNCT
fuelectenerg-3144	1351	10	.	.	PUNCT
fuelectenerg-3144	1352	1	(	(	PUNCT
fuelectenerg-3144	1352	2	8)	8)	NUM
fuelectenerg-3144	1352	3	eq	eq	NOUN
fuelectenerg-3144	1352	4	.	.	NOUN
fuelectenerg-3144	1352	5	8	8	NUM
fuelectenerg-3144	1352	6	is	be	AUX
fuelectenerg-3144	1352	7	rather	rather	ADV
fuelectenerg-3144	1352	8	unwieldy	unwieldy	ADJ
fuelectenerg-3144	1352	9	for	for	ADP
fuelectenerg-3144	1352	10	a	a	DET
fuelectenerg-3144	1352	11	simple	simple	ADJ
fuelectenerg-3144	1352	12	,	,	PUNCT
fuelectenerg-3144	1352	13	rough	rough	ADJ
fuelectenerg-3144	1352	14	comparison	comparison	NOUN
fuelectenerg-3144	1352	15	between	between	ADP
fuelectenerg-3144	1352	16	the	the	DET
fuelectenerg-3144	1352	17	performance	performance	NOUN
fuelectenerg-3144	1352	18	of	of	ADP
fuelectenerg-3144	1352	19	quantum	quantum	ADJ
fuelectenerg-3144	1352	20	and	and	CCONJ
fuelectenerg-3144	1352	21	classical	classical	ADJ
fuelectenerg-3144	1352	22	algorithms	algorithm	NOUN
fuelectenerg-3144	1352	23	.	.	PUNCT
fuelectenerg-3144	1353	1	if	if	SCONJ
fuelectenerg-3144	1353	2	we	we	PRON
fuelectenerg-3144	1353	3	assume	assume	VERB
fuelectenerg-3144	1353	4	that	that	SCONJ
fuelectenerg-3144	1353	5	ns	ns	PROPN
fuelectenerg-3144	1353	6	=	=	SYM
fuelectenerg-3144	1353	7	ni	ni	PROPN
fuelectenerg-3144	1353	8	,	,	PUNCT
fuelectenerg-3144	1353	9	that	that	ADV
fuelectenerg-3144	1353	10	is	is	ADV
fuelectenerg-3144	1353	11	,	,	PUNCT
fuelectenerg-3144	1353	12	the	the	DET
fuelectenerg-3144	1353	13	fsm	fsm	PROPN
fuelectenerg-3144	1353	14	has	have	VERB
fuelectenerg-3144	1353	15	the	the	DET
fuelectenerg-3144	1353	16	same	same	ADJ
fuelectenerg-3144	1353	17	number	number	NOUN
fuelectenerg-3144	1353	18	of	of	ADP
fuelectenerg-3144	1353	19	states	state	NOUN
fuelectenerg-3144	1353	20	as	as	ADP
fuelectenerg-3144	1353	21	input	input	NOUN
fuelectenerg-3144	1353	22	values	value	NOUN
fuelectenerg-3144	1353	23	,	,	PUNCT
fuelectenerg-3144	1353	24	then	then	ADV
fuelectenerg-3144	1353	25	41	41	NUM
fuelectenerg-3144	1353	26	208	208	NUM
fuelectenerg-3144	1353	27	e.	e.	PROPN
fuelectenerg-3144	1353	28	tsai	tsai	PROPN
fuelectenerg-3144	1353	29	,	,	PUNCT
fuelectenerg-3144	1353	30	m.	m.	PROPN
fuelectenerg-3144	1353	31	perkowski	perkowski	PROPN
fuelectenerg-3144	1353	32	a	a	DET
fuelectenerg-3144	1353	33	quantum	quantum	ADJ
fuelectenerg-3144	1353	34	algorithm	algorithm	NOUN
fuelectenerg-3144	1353	35	for	for	ADP
fuelectenerg-3144	1353	36	automata	automata	NOUN
fuelectenerg-3144	1353	37	encoding	encode	VERB
fuelectenerg-3144	1353	38	209	209	NUM
fuelectenerg-3144	1353	39	consider	consider	VERB
fuelectenerg-3144	1353	40	the	the	DET
fuelectenerg-3144	1353	41	run	run	NOUN
fuelectenerg-3144	1353	42	time	time	NOUN
fuelectenerg-3144	1353	43	complexity	complexity	NOUN
fuelectenerg-3144	1353	44	for	for	ADP
fuelectenerg-3144	1353	45	the	the	DET
fuelectenerg-3144	1353	46	dependency	dependency	NOUN
fuelectenerg-3144	1353	47	checking	check	VERB
fuelectenerg-3144	1353	48	quantum	quantum	ADJ
fuelectenerg-3144	1353	49	circuits	circuit	NOUN
fuelectenerg-3144	1353	50	described	describe	VERB
fuelectenerg-3144	1353	51	in	in	ADP
fuelectenerg-3144	1353	52	sections	section	NOUN
fuelectenerg-3144	1353	53	5.2	5.2	NUM
fuelectenerg-3144	1353	54	and	and	CCONJ
fuelectenerg-3144	1353	55	5.3	5.3	NUM
fuelectenerg-3144	1353	56	.	.	PUNCT
fuelectenerg-3144	1354	1	calculation	calculation	NOUN
fuelectenerg-3144	1354	2	of	of	ADP
fuelectenerg-3144	1354	3	this	this	DET
fuelectenerg-3144	1354	4	complexity	complexity	NOUN
fuelectenerg-3144	1354	5	is	be	AUX
fuelectenerg-3144	1354	6	complicated	complicate	VERB
fuelectenerg-3144	1354	7	by	by	ADP
fuelectenerg-3144	1354	8	the	the	DET
fuelectenerg-3144	1354	9	fact	fact	NOUN
fuelectenerg-3144	1354	10	that	that	SCONJ
fuelectenerg-3144	1354	11	the	the	DET
fuelectenerg-3144	1354	12	partial	partial	ADJ
fuelectenerg-3144	1354	13	dependency	dependency	NOUN
fuelectenerg-3144	1354	14	checkers	checker	NOUN
fuelectenerg-3144	1354	15	described	describe	VERB
fuelectenerg-3144	1354	16	in	in	ADP
fuelectenerg-3144	1354	17	section	section	NOUN
fuelectenerg-3144	1354	18	5.2	5.2	NUM
fuelectenerg-3144	1354	19	do	do	AUX
fuelectenerg-3144	1354	20	not	not	PART
fuelectenerg-3144	1354	21	have	have	AUX
fuelectenerg-3144	1354	22	a	a	DET
fuelectenerg-3144	1354	23	fixed	fix	VERB
fuelectenerg-3144	1354	24	complexity	complexity	NOUN
fuelectenerg-3144	1354	25	;	;	PUNCT
fuelectenerg-3144	1354	26	rather	rather	ADV
fuelectenerg-3144	1354	27	,	,	PUNCT
fuelectenerg-3144	1354	28	as	as	SCONJ
fuelectenerg-3144	1354	29	discussed	discuss	VERB
fuelectenerg-3144	1354	30	in	in	ADP
fuelectenerg-3144	1354	31	that	that	DET
fuelectenerg-3144	1354	32	section	section	NOUN
fuelectenerg-3144	1354	33	,	,	PUNCT
fuelectenerg-3144	1354	34	their	their	PRON
fuelectenerg-3144	1354	35	internal	internal	ADJ
fuelectenerg-3144	1354	36	structure	structure	NOUN
fuelectenerg-3144	1354	37	depends	depend	VERB
fuelectenerg-3144	1354	38	on	on	ADP
fuelectenerg-3144	1354	39	the	the	DET
fuelectenerg-3144	1354	40	particular	particular	ADJ
fuelectenerg-3144	1354	41	details	detail	NOUN
fuelectenerg-3144	1354	42	of	of	ADP
fuelectenerg-3144	1354	43	the	the	DET
fuelectenerg-3144	1354	44	state	state	NOUN
fuelectenerg-3144	1354	45	machine	machine	NOUN
fuelectenerg-3144	1354	46	under	under	ADP
fuelectenerg-3144	1354	47	consideration	consideration	NOUN
fuelectenerg-3144	1354	48	.	.	PUNCT
fuelectenerg-3144	1355	1	however	however	ADV
fuelectenerg-3144	1355	2	,	,	PUNCT
fuelectenerg-3144	1355	3	we	we	PRON
fuelectenerg-3144	1355	4	may	may	AUX
fuelectenerg-3144	1355	5	still	still	ADV
fuelectenerg-3144	1355	6	calculate	calculate	VERB
fuelectenerg-3144	1355	7	an	an	DET
fuelectenerg-3144	1355	8	upper	upper	ADJ
fuelectenerg-3144	1355	9	bound	bind	VERB
fuelectenerg-3144	1355	10	for	for	ADP
fuelectenerg-3144	1355	11	the	the	DET
fuelectenerg-3144	1355	12	complexity	complexity	NOUN
fuelectenerg-3144	1355	13	of	of	ADP
fuelectenerg-3144	1355	14	each	each	DET
fuelectenerg-3144	1355	15	partial	partial	ADJ
fuelectenerg-3144	1355	16	dependency	dependency	NOUN
fuelectenerg-3144	1355	17	checker	checker	NOUN
fuelectenerg-3144	1355	18	.	.	PUNCT
fuelectenerg-3144	1356	1	in	in	ADP
fuelectenerg-3144	1356	2	the	the	DET
fuelectenerg-3144	1356	3	following	follow	VERB
fuelectenerg-3144	1356	4	paragraph	paragraph	NOUN
fuelectenerg-3144	1356	5	,	,	PUNCT
fuelectenerg-3144	1356	6	we	we	PRON
fuelectenerg-3144	1356	7	use	use	VERB
fuelectenerg-3144	1356	8	the	the	DET
fuelectenerg-3144	1356	9	example	example	NOUN
fuelectenerg-3144	1356	10	circuits	circuit	NOUN
fuelectenerg-3144	1356	11	shown	show	VERB
fuelectenerg-3144	1356	12	in	in	ADP
fuelectenerg-3144	1356	13	figures	figure	NOUN
fuelectenerg-3144	1356	14	11	11	NUM
fuelectenerg-3144	1356	15	,	,	PUNCT
fuelectenerg-3144	1356	16	13	13	NUM
fuelectenerg-3144	1356	17	,	,	PUNCT
fuelectenerg-3144	1356	18	and	and	CCONJ
fuelectenerg-3144	1356	19	14	14	NUM
fuelectenerg-3144	1356	20	as	as	ADP
fuelectenerg-3144	1356	21	a	a	DET
fuelectenerg-3144	1356	22	reference	reference	NOUN
fuelectenerg-3144	1356	23	.	.	PUNCT
fuelectenerg-3144	1357	1	evaluating	evaluate	VERB
fuelectenerg-3144	1357	2	dj(s	dj(s	PROPN
fuelectenerg-3144	1357	3	,	,	PUNCT
fuelectenerg-3144	1357	4	s	s	NOUN
fuelectenerg-3144	1357	5	′	′	NOUN
fuelectenerg-3144	1357	6	)	)	PUNCT
fuelectenerg-3144	1357	7	for	for	ADP
fuelectenerg-3144	1357	8	a	a	DET
fuelectenerg-3144	1357	9	pair	pair	NOUN
fuelectenerg-3144	1357	10	of	of	ADP
fuelectenerg-3144	1357	11	states	state	NOUN
fuelectenerg-3144	1357	12	requires	require	VERB
fuelectenerg-3144	1357	13	o(ns	o(ns	ADJ
fuelectenerg-3144	1357	14	)	)	PUNCT
fuelectenerg-3144	1357	15	=	=	SYM
fuelectenerg-3144	1357	16	o(logns	o(logns	ADJ
fuelectenerg-3144	1357	17	)	)	PUNCT
fuelectenerg-3144	1357	18	time	time	NOUN
fuelectenerg-3144	1357	19	,	,	PUNCT
fuelectenerg-3144	1357	20	since	since	SCONJ
fuelectenerg-3144	1357	21	ns	ns	ADJ
fuelectenerg-3144	1357	22	−	−	PROPN
fuelectenerg-3144	1357	23	1	1	NUM
fuelectenerg-3144	1357	24	feynman	feynman	PROPN
fuelectenerg-3144	1357	25	gates	gate	NOUN
fuelectenerg-3144	1357	26	are	be	AUX
fuelectenerg-3144	1357	27	required	require	VERB
fuelectenerg-3144	1357	28	together	together	ADV
fuelectenerg-3144	1357	29	with	with	ADP
fuelectenerg-3144	1357	30	a	a	DET
fuelectenerg-3144	1357	31	multiple	multiple	ADJ
fuelectenerg-3144	1357	32	-	-	PUNCT
fuelectenerg-3144	1357	33	control	control	NOUN
fuelectenerg-3144	1357	34	toffoli	toffoli	PROPN
fuelectenerg-3144	1357	35	gate	gate	NOUN
fuelectenerg-3144	1357	36	of	of	ADP
fuelectenerg-3144	1357	37	size	size	NOUN
fuelectenerg-3144	1357	38	ns	ns	INTJ
fuelectenerg-3144	1357	39	(	(	PUNCT
fuelectenerg-3144	1357	40	ns	ns	NOUN
fuelectenerg-3144	1357	41	−	−	PROPN
fuelectenerg-3144	1357	42	1	1	NUM
fuelectenerg-3144	1357	43	control	control	NOUN
fuelectenerg-3144	1357	44	qubits	qubit	NOUN
fuelectenerg-3144	1357	45	and	and	CCONJ
fuelectenerg-3144	1357	46	one	one	NUM
fuelectenerg-3144	1357	47	target	target	NOUN
fuelectenerg-3144	1357	48	qubit	qubit	NOUN
fuelectenerg-3144	1357	49	)	)	PUNCT
fuelectenerg-3144	1357	50	.	.	PUNCT
fuelectenerg-3144	1358	1	by	by	ADP
fuelectenerg-3144	1358	2	analogous	analogous	ADJ
fuelectenerg-3144	1358	3	reasoning	reasoning	NOUN
fuelectenerg-3144	1358	4	,	,	PUNCT
fuelectenerg-3144	1358	5	evaluating	evaluate	VERB
fuelectenerg-3144	1358	6	dj(i	dj(i	NOUN
fuelectenerg-3144	1358	7	,	,	PUNCT
fuelectenerg-3144	1358	8	i	i	PRON
fuelectenerg-3144	1358	9	′	′	NOUN
fuelectenerg-3144	1358	10	)	)	PUNCT
fuelectenerg-3144	1358	11	requireso(ni	requireso(ni	VERB
fuelectenerg-3144	1358	12	)	)	PUNCT
fuelectenerg-3144	1358	13	=	=	SYM
fuelectenerg-3144	1358	14	o(logni	o(logni	NOUN
fuelectenerg-3144	1358	15	)	)	PUNCT
fuelectenerg-3144	1358	16	time	time	NOUN
fuelectenerg-3144	1358	17	.	.	PUNCT
fuelectenerg-3144	1359	1	meanwhile	meanwhile	ADV
fuelectenerg-3144	1359	2	,	,	PUNCT
fuelectenerg-3144	1359	3	evaluatingai(s	evaluatingai(s	NOUN
fuelectenerg-3144	1359	4	,	,	PUNCT
fuelectenerg-3144	1359	5	s	s	PART
fuelectenerg-3144	1359	6	′	′	NOUN
fuelectenerg-3144	1359	7	)	)	PUNCT
fuelectenerg-3144	1359	8	is	be	AUX
fuelectenerg-3144	1359	9	an	an	DET
fuelectenerg-3144	1359	10	o(1	o(1	NOUN
fuelectenerg-3144	1359	11	)	)	PUNCT
fuelectenerg-3144	1359	12	operation	operation	NOUN
fuelectenerg-3144	1359	13	,	,	PUNCT
fuelectenerg-3144	1359	14	since	since	SCONJ
fuelectenerg-3144	1359	15	only	only	ADV
fuelectenerg-3144	1359	16	a	a	DET
fuelectenerg-3144	1359	17	single	single	ADJ
fuelectenerg-3144	1359	18	feynman	feynman	PROPN
fuelectenerg-3144	1359	19	gate	gate	PROPN
fuelectenerg-3144	1359	20	is	be	AUX
fuelectenerg-3144	1359	21	needed	need	VERB
fuelectenerg-3144	1359	22	.	.	PUNCT
fuelectenerg-3144	1360	1	observe	observe	VERB
fuelectenerg-3144	1360	2	that	that	SCONJ
fuelectenerg-3144	1360	3	the	the	DET
fuelectenerg-3144	1360	4	upper	upper	ADJ
fuelectenerg-3144	1360	5	portion	portion	NOUN
fuelectenerg-3144	1360	6	of	of	ADP
fuelectenerg-3144	1360	7	every	every	DET
fuelectenerg-3144	1360	8	partial	partial	ADJ
fuelectenerg-3144	1360	9	dependency	dependency	NOUN
fuelectenerg-3144	1360	10	checker	checker	NOUN
fuelectenerg-3144	1360	11	(	(	PUNCT
fuelectenerg-3144	1360	12	as	as	ADP
fuelectenerg-3144	1360	13	in	in	ADP
fuelectenerg-3144	1360	14	figures	figure	NOUN
fuelectenerg-3144	1360	15	13	13	NUM
fuelectenerg-3144	1360	16	and	and	CCONJ
fuelectenerg-3144	1360	17	14	14	NUM
fuelectenerg-3144	1360	18	)	)	PUNCT
fuelectenerg-3144	1360	19	must	must	AUX
fuelectenerg-3144	1360	20	evaluate	evaluate	VERB
fuelectenerg-3144	1360	21	ai(s	ai(s	NUM
fuelectenerg-3144	1360	22	,	,	PUNCT
fuelectenerg-3144	1360	23	s	s	NOUN
fuelectenerg-3144	1360	24	′	′	NOUN
fuelectenerg-3144	1360	25	)	)	PUNCT
fuelectenerg-3144	1360	26	for	for	ADP
fuelectenerg-3144	1360	27	up	up	ADP
fuelectenerg-3144	1360	28	to	to	PART
fuelectenerg-3144	1360	29	ns	ns	NUM
fuelectenerg-3144	1360	30	−	−	NUM
fuelectenerg-3144	1360	31	1	1	NUM
fuelectenerg-3144	1360	32	state	state	NOUN
fuelectenerg-3144	1360	33	pairs	pair	NOUN
fuelectenerg-3144	1360	34	,	,	PUNCT
fuelectenerg-3144	1360	35	with	with	ADP
fuelectenerg-3144	1360	36	this	this	DET
fuelectenerg-3144	1360	37	maximum	maximum	NOUN
fuelectenerg-3144	1360	38	being	be	AUX
fuelectenerg-3144	1360	39	obtained	obtain	VERB
fuelectenerg-3144	1360	40	when	when	SCONJ
fuelectenerg-3144	1360	41	all	all	DET
fuelectenerg-3144	1360	42	state	state	NOUN
fuelectenerg-3144	1360	43	pairs	pair	NOUN
fuelectenerg-3144	1360	44	are	be	AUX
fuelectenerg-3144	1360	45	overlapping	overlap	VERB
fuelectenerg-3144	1360	46	,	,	PUNCT
fuelectenerg-3144	1360	47	as	as	ADP
fuelectenerg-3144	1360	48	in	in	ADP
fuelectenerg-3144	1360	49	(	(	PUNCT
fuelectenerg-3144	1360	50	s1	s1	NOUN
fuelectenerg-3144	1360	51	,	,	PUNCT
fuelectenerg-3144	1360	52	s2	s2	PROPN
fuelectenerg-3144	1360	53	)	)	PUNCT
fuelectenerg-3144	1360	54	,	,	PUNCT
fuelectenerg-3144	1360	55	(	(	PUNCT
fuelectenerg-3144	1360	56	s2	s2	PROPN
fuelectenerg-3144	1360	57	,	,	PUNCT
fuelectenerg-3144	1360	58	s3	s3	PROPN
fuelectenerg-3144	1360	59	)	)	PUNCT
fuelectenerg-3144	1360	60	,	,	PUNCT
fuelectenerg-3144	1360	61	(	(	PUNCT
fuelectenerg-3144	1360	62	s3	s3	PROPN
fuelectenerg-3144	1360	63	,	,	PUNCT
fuelectenerg-3144	1360	64	s4	s4	PROPN
fuelectenerg-3144	1360	65	)	)	PUNCT
fuelectenerg-3144	1360	66	,	,	PUNCT
fuelectenerg-3144	1360	67	etc	etc	X
fuelectenerg-3144	1360	68	.	.	X
fuelectenerg-3144	1361	1	the	the	DET
fuelectenerg-3144	1361	2	lower	low	ADJ
fuelectenerg-3144	1361	3	portion	portion	NOUN
fuelectenerg-3144	1361	4	of	of	ADP
fuelectenerg-3144	1361	5	each	each	DET
fuelectenerg-3144	1361	6	partial	partial	ADJ
fuelectenerg-3144	1361	7	dependency	dependency	NOUN
fuelectenerg-3144	1361	8	checker	checker	NOUN
fuelectenerg-3144	1361	9	always	always	ADV
fuelectenerg-3144	1361	10	evaluates	evaluate	VERB
fuelectenerg-3144	1361	11	dj(s	dj(s	NOUN
fuelectenerg-3144	1361	12	,	,	PUNCT
fuelectenerg-3144	1361	13	s	s	NOUN
fuelectenerg-3144	1361	14	′	′	NOUN
fuelectenerg-3144	1361	15	)	)	PUNCT
fuelectenerg-3144	1361	16	or	or	CCONJ
fuelectenerg-3144	1361	17	dj(i	dj(i	NOUN
fuelectenerg-3144	1361	18	,	,	PUNCT
fuelectenerg-3144	1361	19	i	i	PRON
fuelectenerg-3144	1361	20	′	′	VERB
fuelectenerg-3144	1361	21	)	)	PUNCT
fuelectenerg-3144	1361	22	for	for	ADP
fuelectenerg-3144	1361	23	only	only	ADV
fuelectenerg-3144	1361	24	one	one	NUM
fuelectenerg-3144	1361	25	pair	pair	NOUN
fuelectenerg-3144	1361	26	of	of	ADP
fuelectenerg-3144	1361	27	inputs	input	NOUN
fuelectenerg-3144	1361	28	/	/	SYM
fuelectenerg-3144	1361	29	states	state	NOUN
fuelectenerg-3144	1361	30	.	.	PUNCT
fuelectenerg-3144	1362	1	the	the	DET
fuelectenerg-3144	1362	2	total	total	ADJ
fuelectenerg-3144	1362	3	complexity	complexity	NOUN
fuelectenerg-3144	1362	4	of	of	ADP
fuelectenerg-3144	1362	5	a	a	DET
fuelectenerg-3144	1362	6	partial	partial	ADJ
fuelectenerg-3144	1362	7	dependency	dependency	NOUN
fuelectenerg-3144	1362	8	checker	checker	NOUN
fuelectenerg-3144	1362	9	is	be	AUX
fuelectenerg-3144	1362	10	therefore	therefore	ADV
fuelectenerg-3144	1362	11	(	(	PUNCT
fuelectenerg-3144	1362	12	ns	ns	INTJ
fuelectenerg-3144	1362	13	−	−	NOUN
fuelectenerg-3144	1362	14	1	1	NUM
fuelectenerg-3144	1362	15	)	)	PUNCT
fuelectenerg-3144	1362	16	·	·	PUNCT
fuelectenerg-3144	1363	1	o(1	o(1	NOUN
fuelectenerg-3144	1363	2	)	)	PUNCT
fuelectenerg-3144	1363	3	+	+	CCONJ
fuelectenerg-3144	1363	4	1	1	NUM
fuelectenerg-3144	1363	5	·	·	PUNCT
fuelectenerg-3144	1363	6	o(logns	o(logns	ADJ
fuelectenerg-3144	1363	7	)	)	PUNCT
fuelectenerg-3144	1363	8	=	=	SYM
fuelectenerg-3144	1363	9	o(ns	o(ns	PROPN
fuelectenerg-3144	1363	10	+	+	SYM
fuelectenerg-3144	1363	11	logns	logn	NOUN
fuelectenerg-3144	1363	12	)	)	PUNCT
fuelectenerg-3144	1363	13	=	=	SYM
fuelectenerg-3144	1363	14	o(ns	o(ns	NOUN
fuelectenerg-3144	1363	15	)	)	PUNCT
fuelectenerg-3144	1363	16	,	,	PUNCT
fuelectenerg-3144	1363	17	for	for	ADP
fuelectenerg-3144	1363	18	a	a	DET
fuelectenerg-3144	1363	19	partial	partial	ADJ
fuelectenerg-3144	1363	20	dependency	dependency	NOUN
fuelectenerg-3144	1363	21	checker	checker	NOUN
fuelectenerg-3144	1363	22	that	that	PRON
fuelectenerg-3144	1363	23	evaluates	evaluate	VERB
fuelectenerg-3144	1363	24	dj(s	dj(s	NOUN
fuelectenerg-3144	1363	25	,	,	PUNCT
fuelectenerg-3144	1363	26	s	s	NOUN
fuelectenerg-3144	1363	27	′	′	NOUN
fuelectenerg-3144	1363	28	)	)	PUNCT
fuelectenerg-3144	1363	29	for	for	ADP
fuelectenerg-3144	1363	30	a	a	DET
fuelectenerg-3144	1363	31	pair	pair	NOUN
fuelectenerg-3144	1363	32	of	of	ADP
fuelectenerg-3144	1363	33	states	state	NOUN
fuelectenerg-3144	1363	34	and	and	CCONJ
fuelectenerg-3144	1363	35	checks	check	NOUN
fuelectenerg-3144	1363	36	eq	eq	ADP
fuelectenerg-3144	1363	37	.	.	PROPN
fuelectenerg-3144	1363	38	1	1	NUM
fuelectenerg-3144	1363	39	,	,	PUNCT
fuelectenerg-3144	1363	40	or	or	CCONJ
fuelectenerg-3144	1363	41	(	(	PUNCT
fuelectenerg-3144	1363	42	ns	ns	INTJ
fuelectenerg-3144	1363	43	−	−	NOUN
fuelectenerg-3144	1363	44	1	1	NUM
fuelectenerg-3144	1363	45	)	)	PUNCT
fuelectenerg-3144	1363	46	·	·	PUNCT
fuelectenerg-3144	1364	1	o(1	o(1	NOUN
fuelectenerg-3144	1364	2	)	)	PUNCT
fuelectenerg-3144	1364	3	+	+	CCONJ
fuelectenerg-3144	1364	4	1	1	NUM
fuelectenerg-3144	1364	5	·	·	PUNCT
fuelectenerg-3144	1364	6	o(logns	o(logns	ADJ
fuelectenerg-3144	1364	7	)	)	PUNCT
fuelectenerg-3144	1364	8	=	=	SYM
fuelectenerg-3144	1364	9	o(ns	o(ns	PROPN
fuelectenerg-3144	1364	10	+	+	NUM
fuelectenerg-3144	1364	11	logni	logni	NOUN
fuelectenerg-3144	1364	12	)	)	PUNCT
fuelectenerg-3144	1364	13	,	,	PUNCT
fuelectenerg-3144	1364	14	for	for	ADP
fuelectenerg-3144	1364	15	a	a	DET
fuelectenerg-3144	1364	16	partial	partial	ADJ
fuelectenerg-3144	1364	17	dependency	dependency	NOUN
fuelectenerg-3144	1364	18	checker	checker	NOUN
fuelectenerg-3144	1364	19	that	that	PRON
fuelectenerg-3144	1364	20	evaluates	evaluate	VERB
fuelectenerg-3144	1364	21	dj(i	dj(i	PROPN
fuelectenerg-3144	1364	22	,	,	PUNCT
fuelectenerg-3144	1364	23	i	i	PRON
fuelectenerg-3144	1364	24	′	′	VERB
fuelectenerg-3144	1364	25	)	)	PUNCT
fuelectenerg-3144	1364	26	for	for	ADP
fuelectenerg-3144	1364	27	a	a	DET
fuelectenerg-3144	1364	28	pair	pair	NOUN
fuelectenerg-3144	1364	29	of	of	ADP
fuelectenerg-3144	1364	30	inputs	input	NOUN
fuelectenerg-3144	1364	31	and	and	CCONJ
fuelectenerg-3144	1364	32	checks	check	NOUN
fuelectenerg-3144	1364	33	eq	eq	ADP
fuelectenerg-3144	1364	34	.	.	PROPN
fuelectenerg-3144	1364	35	2	2	X
fuelectenerg-3144	1364	36	.	.	X
fuelectenerg-3144	1364	37	from	from	ADP
fuelectenerg-3144	1364	38	figure	figure	NOUN
fuelectenerg-3144	1364	39	16	16	NUM
fuelectenerg-3144	1364	40	we	we	PRON
fuelectenerg-3144	1364	41	can	can	AUX
fuelectenerg-3144	1364	42	see	see	VERB
fuelectenerg-3144	1364	43	that	that	PRON
fuelectenerg-3144	1364	44	checking	check	VERB
fuelectenerg-3144	1364	45	the	the	DET
fuelectenerg-3144	1364	46	dependencies	dependency	NOUN
fuelectenerg-3144	1364	47	of	of	ADP
fuelectenerg-3144	1364	48	the	the	DET
fuelectenerg-3144	1364	49	next	next	ADJ
fuelectenerg-3144	1364	50	state	state	NOUN
fuelectenerg-3144	1364	51	of	of	ADP
fuelectenerg-3144	1364	52	a	a	DET
fuelectenerg-3144	1364	53	single	single	ADJ
fuelectenerg-3144	1364	54	flip	flip	NOUN
fuelectenerg-3144	1364	55	-	-	PUNCT
fuelectenerg-3144	1364	56	flop	flop	NOUN
fuelectenerg-3144	1364	57	on	on	ADP
fuelectenerg-3144	1364	58	a	a	DET
fuelectenerg-3144	1364	59	single	single	ADJ
fuelectenerg-3144	1364	60	state	state	NOUN
fuelectenerg-3144	1364	61	or	or	CCONJ
fuelectenerg-3144	1364	62	input	input	NOUN
fuelectenerg-3144	1364	63	variable	variable	NOUN
fuelectenerg-3144	1364	64	requires	require	VERB
fuelectenerg-3144	1364	65	either	either	CCONJ
fuelectenerg-3144	1364	66	ns(ns	ns(ns	ADJ
fuelectenerg-3144	1364	67	−	−	PROPN
fuelectenerg-3144	1364	68	1)/2	1)/2	NUM
fuelectenerg-3144	1364	69	(	(	PUNCT
fuelectenerg-3144	1364	70	for	for	ADP
fuelectenerg-3144	1364	71	a	a	DET
fuelectenerg-3144	1364	72	state	state	NOUN
fuelectenerg-3144	1364	73	variable	variable	NOUN
fuelectenerg-3144	1364	74	)	)	PUNCT
fuelectenerg-3144	1364	75	or	or	CCONJ
fuelectenerg-3144	1364	76	ni(ni	ni(ni	PROPN
fuelectenerg-3144	1364	77	−	−	PROPN
fuelectenerg-3144	1364	78	1)/2	1)/2	NUM
fuelectenerg-3144	1364	79	(	(	PUNCT
fuelectenerg-3144	1364	80	for	for	ADP
fuelectenerg-3144	1364	81	an	an	DET
fuelectenerg-3144	1364	82	input	input	NOUN
fuelectenerg-3144	1364	83	variable	variable	NOUN
fuelectenerg-3144	1364	84	)	)	PUNCT
fuelectenerg-3144	1364	85	partial	partial	ADJ
fuelectenerg-3144	1364	86	dependency	dependency	NOUN
fuelectenerg-3144	1364	87	checkers	checker	NOUN
fuelectenerg-3144	1364	88	.	.	PUNCT
fuelectenerg-3144	1365	1	combining	combine	VERB
fuelectenerg-3144	1365	2	with	with	ADP
fuelectenerg-3144	1365	3	the	the	DET
fuelectenerg-3144	1365	4	previously	previously	ADV
fuelectenerg-3144	1365	5	derived	derive	VERB
fuelectenerg-3144	1365	6	complexity	complexity	NOUN
fuelectenerg-3144	1365	7	for	for	ADP
fuelectenerg-3144	1365	8	a	a	DET
fuelectenerg-3144	1365	9	single	single	ADJ
fuelectenerg-3144	1365	10	partial	partial	ADJ
fuelectenerg-3144	1365	11	dependency	dependency	NOUN
fuelectenerg-3144	1365	12	checker	checker	NOUN
fuelectenerg-3144	1365	13	gives	give	VERB
fuelectenerg-3144	1365	14	o(ns	o(ns	PROPN
fuelectenerg-3144	1365	15	3	3	NUM
fuelectenerg-3144	1365	16	)	)	PUNCT
fuelectenerg-3144	1365	17	(	(	PUNCT
fuelectenerg-3144	1365	18	for	for	ADP
fuelectenerg-3144	1365	19	a	a	DET
fuelectenerg-3144	1365	20	state	state	NOUN
fuelectenerg-3144	1365	21	variable	variable	NOUN
fuelectenerg-3144	1365	22	)	)	PUNCT
fuelectenerg-3144	1365	23	or	or	CCONJ
fuelectenerg-3144	1365	24	o(ni	o(ni	NUM
fuelectenerg-3144	1365	25	2(ns	2(ns	NOUN
fuelectenerg-3144	1365	26	+	+	CCONJ
fuelectenerg-3144	1365	27	logni	logni	NOUN
fuelectenerg-3144	1365	28	)	)	PUNCT
fuelectenerg-3144	1365	29	)	)	PUNCT
fuelectenerg-3144	1365	30	(	(	PUNCT
fuelectenerg-3144	1365	31	for	for	ADP
fuelectenerg-3144	1365	32	an	an	DET
fuelectenerg-3144	1365	33	input	input	NOUN
fuelectenerg-3144	1365	34	variable	variable	NOUN
fuelectenerg-3144	1365	35	)	)	PUNCT
fuelectenerg-3144	1365	36	.	.	PUNCT
fuelectenerg-3144	1366	1	the	the	DET
fuelectenerg-3144	1366	2	central	central	ADJ
fuelectenerg-3144	1366	3	toffoli	toffoli	PROPN
fuelectenerg-3144	1366	4	gate	gate	NOUN
fuelectenerg-3144	1366	5	in	in	ADP
fuelectenerg-3144	1366	6	figure	figure	NOUN
fuelectenerg-3144	1366	7	16	16	NUM
fuelectenerg-3144	1366	8	has	have	VERB
fuelectenerg-3144	1366	9	either	either	CCONJ
fuelectenerg-3144	1366	10	ns(ns	ns(ns	ADJ
fuelectenerg-3144	1366	11	−	−	PROPN
fuelectenerg-3144	1366	12	1)/2	1)/2	NUM
fuelectenerg-3144	1366	13	or	or	CCONJ
fuelectenerg-3144	1366	14	ni(ni	ni(ni	PROPN
fuelectenerg-3144	1366	15	−	−	PROPN
fuelectenerg-3144	1366	16	1)/2	1)/2	NUM
fuelectenerg-3144	1366	17	control	control	NOUN
fuelectenerg-3144	1366	18	qubits	qubit	NOUN
fuelectenerg-3144	1366	19	,	,	PUNCT
fuelectenerg-3144	1366	20	so	so	SCONJ
fuelectenerg-3144	1366	21	its	its	PRON
fuelectenerg-3144	1366	22	time	time	NOUN
fuelectenerg-3144	1366	23	complexity	complexity	NOUN
fuelectenerg-3144	1366	24	is	be	AUX
fuelectenerg-3144	1366	25	dominated	dominate	VERB
fuelectenerg-3144	1366	26	by	by	ADP
fuelectenerg-3144	1366	27	that	that	PRON
fuelectenerg-3144	1366	28	of	of	ADP
fuelectenerg-3144	1366	29	the	the	DET
fuelectenerg-3144	1366	30	partial	partial	ADJ
fuelectenerg-3144	1366	31	dependency	dependency	NOUN
fuelectenerg-3144	1366	32	checkers	checker	NOUN
fuelectenerg-3144	1366	33	.	.	PUNCT
fuelectenerg-3144	1367	1	in	in	ADP
fuelectenerg-3144	1367	2	figure	figure	NOUN
fuelectenerg-3144	1367	3	19	19	NUM
fuelectenerg-3144	1367	4	,	,	PUNCT
fuelectenerg-3144	1367	5	we	we	PRON
fuelectenerg-3144	1367	6	can	can	AUX
fuelectenerg-3144	1367	7	see	see	VERB
fuelectenerg-3144	1367	8	that	that	SCONJ
fuelectenerg-3144	1367	9	there	there	PRON
fuelectenerg-3144	1367	10	are	be	VERB
fuelectenerg-3144	1367	11	ns	ns	NUM
fuelectenerg-3144	1367	12	2	2	NUM
fuelectenerg-3144	1367	13	=	=	SYM
fuelectenerg-3144	1367	14	(	(	PUNCT
fuelectenerg-3144	1367	15	logns	logns	PROPN
fuelectenerg-3144	1367	16	)	)	PUNCT
fuelectenerg-3144	1367	17	2	2	NUM
fuelectenerg-3144	1367	18	checks	check	NOUN
fuelectenerg-3144	1367	19	for	for	ADP
fuelectenerg-3144	1367	20	dependency	dependency	NOUN
fuelectenerg-3144	1367	21	of	of	ADP
fuelectenerg-3144	1367	22	q+	q+	ADP
fuelectenerg-3144	1367	23	i	i	PRON
fuelectenerg-3144	1367	24	(	(	PUNCT
fuelectenerg-3144	1367	25	for	for	ADP
fuelectenerg-3144	1367	26	any	any	DET
fuelectenerg-3144	1367	27	i	i	NOUN
fuelectenerg-3144	1367	28	)	)	PUNCT
fuelectenerg-3144	1367	29	on	on	ADP
fuelectenerg-3144	1367	30	a	a	DET
fuelectenerg-3144	1367	31	state	state	NOUN
fuelectenerg-3144	1367	32	variable	variable	NOUN
fuelectenerg-3144	1367	33	,	,	PUNCT
fuelectenerg-3144	1367	34	and	and	CCONJ
fuelectenerg-3144	1367	35	nsni	nsni	NOUN
fuelectenerg-3144	1367	36	=	=	SYM
fuelectenerg-3144	1367	37	logns	logn	VERB
fuelectenerg-3144	1367	38	logni	logni	NOUN
fuelectenerg-3144	1367	39	checks	check	NOUN
fuelectenerg-3144	1367	40	for	for	ADP
fuelectenerg-3144	1367	41	dependency	dependency	NOUN
fuelectenerg-3144	1367	42	on	on	ADP
fuelectenerg-3144	1367	43	an	an	DET
fuelectenerg-3144	1367	44	input	input	NOUN
fuelectenerg-3144	1367	45	variable	variable	NOUN
fuelectenerg-3144	1367	46	.	.	PUNCT
fuelectenerg-3144	1368	1	therefore	therefore	ADV
fuelectenerg-3144	1368	2	,	,	PUNCT
fuelectenerg-3144	1368	3	the	the	DET
fuelectenerg-3144	1368	4	total	total	ADJ
fuelectenerg-3144	1368	5	complexity	complexity	NOUN
fuelectenerg-3144	1368	6	of	of	ADP
fuelectenerg-3144	1368	7	all	all	DET
fuelectenerg-3144	1368	8	the	the	DET
fuelectenerg-3144	1368	9	dependency	dependency	NOUN
fuelectenerg-3144	1368	10	checkers	checker	NOUN
fuelectenerg-3144	1368	11	in	in	ADP
fuelectenerg-3144	1368	12	the	the	DET
fuelectenerg-3144	1368	13	circuit	circuit	NOUN
fuelectenerg-3144	1368	14	from	from	ADP
fuelectenerg-3144	1368	15	figure	figure	NOUN
fuelectenerg-3144	1368	16	19	19	NUM
fuelectenerg-3144	1368	17	is	be	AUX
fuelectenerg-3144	1368	18	(	(	PUNCT
fuelectenerg-3144	1368	19	logns	logn	NOUN
fuelectenerg-3144	1368	20	)	)	PUNCT
fuelectenerg-3144	1368	21	2	2	NUM
fuelectenerg-3144	1368	22	·	·	PUNCT
fuelectenerg-3144	1368	23	o(ns	o(ns	NUM
fuelectenerg-3144	1368	24	3	3	NUM
fuelectenerg-3144	1368	25	)	)	PUNCT
fuelectenerg-3144	1368	26	+	+	NUM
fuelectenerg-3144	1368	27	logns	logn	VERB
fuelectenerg-3144	1368	28	logni	logni	NOUN
fuelectenerg-3144	1368	29	·	·	PUNCT
fuelectenerg-3144	1368	30	o(ni	o(ni	NUM
fuelectenerg-3144	1368	31	2(ns	2(ns	NOUN
fuelectenerg-3144	1368	32	+	+	CCONJ
fuelectenerg-3144	1368	33	logni	logni	NOUN
fuelectenerg-3144	1368	34	)	)	PUNCT
fuelectenerg-3144	1368	35	)	)	PUNCT
fuelectenerg-3144	1369	1	=	=	PUNCT
fuelectenerg-3144	1369	2	o(ns	o(ns	PROPN
fuelectenerg-3144	1369	3	3(logns	3(logns	NUM
fuelectenerg-3144	1369	4	)	)	PUNCT
fuelectenerg-3144	1369	5	2	2	NUM
fuelectenerg-3144	1370	1	+	+	NOUN
fuelectenerg-3144	1370	2	ni	ni	NOUN
fuelectenerg-3144	1370	3	2(ns	2(ns	NOUN
fuelectenerg-3144	1370	4	+	+	CCONJ
fuelectenerg-3144	1370	5	logni)(logns	logni)(logns	ADJ
fuelectenerg-3144	1370	6	logni	logni	NOUN
fuelectenerg-3144	1370	7	)	)	PUNCT
fuelectenerg-3144	1370	8	)	)	PUNCT
fuelectenerg-3144	1370	9	.	.	PUNCT
fuelectenerg-3144	1371	1	(	(	PUNCT
fuelectenerg-3144	1371	2	7	7	X
fuelectenerg-3144	1371	3	)	)	PUNCT
fuelectenerg-3144	1371	4	the	the	DET
fuelectenerg-3144	1371	5	complexity	complexity	NOUN
fuelectenerg-3144	1371	6	of	of	ADP
fuelectenerg-3144	1371	7	the	the	DET
fuelectenerg-3144	1371	8	incrementer	incrementer	NOUN
fuelectenerg-3144	1371	9	circuits	circuit	NOUN
fuelectenerg-3144	1371	10	in	in	ADP
fuelectenerg-3144	1371	11	figure	figure	NOUN
fuelectenerg-3144	1371	12	19	19	NUM
fuelectenerg-3144	1371	13	is	be	AUX
fuelectenerg-3144	1371	14	clearly	clearly	ADV
fuelectenerg-3144	1371	15	dominated	dominate	VERB
fuelectenerg-3144	1371	16	by	by	ADP
fuelectenerg-3144	1371	17	that	that	PRON
fuelectenerg-3144	1371	18	of	of	ADP
fuelectenerg-3144	1371	19	the	the	DET
fuelectenerg-3144	1371	20	dependency	dependency	NOUN
fuelectenerg-3144	1371	21	checkers	checker	NOUN
fuelectenerg-3144	1371	22	,	,	PUNCT
fuelectenerg-3144	1371	23	so	so	ADV
fuelectenerg-3144	1371	24	the	the	DET
fuelectenerg-3144	1371	25	preceding	precede	VERB
fuelectenerg-3144	1371	26	expression	expression	NOUN
fuelectenerg-3144	1371	27	gives	give	VERB
fuelectenerg-3144	1371	28	the	the	DET
fuelectenerg-3144	1371	29	time	time	NOUN
fuelectenerg-3144	1371	30	complexity	complexity	NOUN
fuelectenerg-3144	1371	31	for	for	ADP
fuelectenerg-3144	1371	32	the	the	DET
fuelectenerg-3144	1371	33	entire	entire	ADJ
fuelectenerg-3144	1371	34	cost	cost	NOUN
fuelectenerg-3144	1371	35	-	-	PUNCT
fuelectenerg-3144	1371	36	calculating	calculate	VERB
fuelectenerg-3144	1371	37	portion	portion	NOUN
fuelectenerg-3144	1371	38	of	of	ADP
fuelectenerg-3144	1371	39	the	the	DET
fuelectenerg-3144	1371	40	quantum	quantum	ADJ
fuelectenerg-3144	1371	41	oracle	oracle	NOUN
fuelectenerg-3144	1371	42	.	.	PUNCT
fuelectenerg-3144	1372	1	finally	finally	ADV
fuelectenerg-3144	1372	2	,	,	PUNCT
fuelectenerg-3144	1372	3	we	we	PRON
fuelectenerg-3144	1372	4	must	must	AUX
fuelectenerg-3144	1372	5	consider	consider	VERB
fuelectenerg-3144	1372	6	the	the	DET
fuelectenerg-3144	1372	7	complexity	complexity	NOUN
fuelectenerg-3144	1372	8	of	of	ADP
fuelectenerg-3144	1372	9	the	the	DET
fuelectenerg-3144	1372	10	two	two	NUM
fuelectenerg-3144	1372	11	other	other	ADJ
fuelectenerg-3144	1372	12	components	component	NOUN
fuelectenerg-3144	1372	13	of	of	ADP
fuelectenerg-3144	1372	14	the	the	DET
fuelectenerg-3144	1372	15	oracle	oracle	NOUN
fuelectenerg-3144	1372	16	,	,	PUNCT
fuelectenerg-3144	1372	17	as	as	SCONJ
fuelectenerg-3144	1372	18	shown	show	VERB
fuelectenerg-3144	1372	19	in	in	ADP
fuelectenerg-3144	1372	20	figure	figure	NOUN
fuelectenerg-3144	1372	21	22	22	NUM
fuelectenerg-3144	1372	22	—	—	PUNCT
fuelectenerg-3144	1372	23	the	the	DET
fuelectenerg-3144	1372	24	threshold	threshold	NOUN
fuelectenerg-3144	1372	25	circuit	circuit	NOUN
fuelectenerg-3144	1372	26	and	and	CCONJ
fuelectenerg-3144	1372	27	uniquenesschecking	uniquenesschecke	VERB
fuelectenerg-3144	1372	28	circuit	circuit	NOUN
fuelectenerg-3144	1372	29	.	.	PUNCT
fuelectenerg-3144	1373	1	the	the	DET
fuelectenerg-3144	1373	2	complexity	complexity	NOUN
fuelectenerg-3144	1373	3	of	of	ADP
fuelectenerg-3144	1373	4	the	the	DET
fuelectenerg-3144	1373	5	cost	cost	NOUN
fuelectenerg-3144	1373	6	-	-	PUNCT
fuelectenerg-3144	1373	7	calculating	calculate	VERB
fuelectenerg-3144	1373	8	circuit	circuit	NOUN
fuelectenerg-3144	1373	9	clearly	clearly	ADV
fuelectenerg-3144	1373	10	dominates	dominate	VERB
fuelectenerg-3144	1373	11	that	that	PRON
fuelectenerg-3144	1373	12	of	of	ADP
fuelectenerg-3144	1373	13	the	the	DET
fuelectenerg-3144	1373	14	threshold	threshold	NOUN
fuelectenerg-3144	1373	15	circuit	circuit	NOUN
fuelectenerg-3144	1373	16	,	,	PUNCT
fuelectenerg-3144	1373	17	but	but	CCONJ
fuelectenerg-3144	1373	18	the	the	DET
fuelectenerg-3144	1373	19	situation	situation	NOUN
fuelectenerg-3144	1373	20	with	with	ADP
fuelectenerg-3144	1373	21	respect	respect	NOUN
fuelectenerg-3144	1373	22	to	to	ADP
fuelectenerg-3144	1373	23	40	40	NUM
fuelectenerg-3144	1373	24	the	the	DET
fuelectenerg-3144	1373	25	uniqueness	uniqueness	NOUN
fuelectenerg-3144	1373	26	-	-	PUNCT
fuelectenerg-3144	1373	27	checking	check	VERB
fuelectenerg-3144	1373	28	circuit	circuit	NOUN
fuelectenerg-3144	1373	29	is	be	AUX
fuelectenerg-3144	1373	30	less	less	ADV
fuelectenerg-3144	1373	31	clear	clear	ADJ
fuelectenerg-3144	1373	32	.	.	PUNCT
fuelectenerg-3144	1374	1	as	as	SCONJ
fuelectenerg-3144	1374	2	seen	see	VERB
fuelectenerg-3144	1374	3	in	in	ADP
fuelectenerg-3144	1374	4	figure	figure	NOUN
fuelectenerg-3144	1374	5	21	21	NUM
fuelectenerg-3144	1374	6	,	,	PUNCT
fuelectenerg-3144	1374	7	the	the	DET
fuelectenerg-3144	1374	8	uniqueness	uniqueness	NOUN
fuelectenerg-3144	1374	9	-	-	PUNCT
fuelectenerg-3144	1374	10	checking	check	VERB
fuelectenerg-3144	1374	11	circuit	circuit	NOUN
fuelectenerg-3144	1374	12	performs	perform	VERB
fuelectenerg-3144	1374	13	a	a	DET
fuelectenerg-3144	1374	14	comparison	comparison	NOUN
fuelectenerg-3144	1374	15	for	for	ADP
fuelectenerg-3144	1374	16	every	every	DET
fuelectenerg-3144	1374	17	possible	possible	ADJ
fuelectenerg-3144	1374	18	pair	pair	NOUN
fuelectenerg-3144	1374	19	of	of	ADP
fuelectenerg-3144	1374	20	states	state	NOUN
fuelectenerg-3144	1374	21	,	,	PUNCT
fuelectenerg-3144	1374	22	of	of	ADP
fuelectenerg-3144	1374	23	which	which	PRON
fuelectenerg-3144	1374	24	there	there	PRON
fuelectenerg-3144	1374	25	are	be	VERB
fuelectenerg-3144	1374	26	ns(ns−1)/2	ns(ns−1)/2	PROPN
fuelectenerg-3144	1374	27	,	,	PUNCT
fuelectenerg-3144	1374	28	and	and	CCONJ
fuelectenerg-3144	1374	29	every	every	DET
fuelectenerg-3144	1374	30	possible	possible	ADJ
fuelectenerg-3144	1374	31	pair	pair	NOUN
fuelectenerg-3144	1374	32	of	of	ADP
fuelectenerg-3144	1374	33	input	input	NOUN
fuelectenerg-3144	1374	34	values	value	NOUN
fuelectenerg-3144	1374	35	,	,	PUNCT
fuelectenerg-3144	1374	36	of	of	ADP
fuelectenerg-3144	1374	37	which	which	PRON
fuelectenerg-3144	1374	38	there	there	PRON
fuelectenerg-3144	1374	39	are	be	VERB
fuelectenerg-3144	1374	40	ni(ni	ni(ni	PROPN
fuelectenerg-3144	1374	41	−	−	PROPN
fuelectenerg-3144	1374	42	1)/2	1)/2	NUM
fuelectenerg-3144	1374	43	.	.	PUNCT
fuelectenerg-3144	1375	1	furthermore	furthermore	ADV
fuelectenerg-3144	1375	2	,	,	PUNCT
fuelectenerg-3144	1375	3	a	a	DET
fuelectenerg-3144	1375	4	comparison	comparison	NOUN
fuelectenerg-3144	1375	5	of	of	ADP
fuelectenerg-3144	1375	6	a	a	DET
fuelectenerg-3144	1375	7	pair	pair	NOUN
fuelectenerg-3144	1375	8	of	of	ADP
fuelectenerg-3144	1375	9	states	state	NOUN
fuelectenerg-3144	1375	10	has	have	VERB
fuelectenerg-3144	1375	11	complexity	complexity	NOUN
fuelectenerg-3144	1375	12	o(ns	o(ns	NOUN
fuelectenerg-3144	1375	13	)	)	PUNCT
fuelectenerg-3144	1375	14	=	=	SYM
fuelectenerg-3144	1375	15	o(logns	o(logn	NOUN
fuelectenerg-3144	1375	16	)	)	PUNCT
fuelectenerg-3144	1375	17	,	,	PUNCT
fuelectenerg-3144	1375	18	since	since	SCONJ
fuelectenerg-3144	1375	19	each	each	DET
fuelectenerg-3144	1375	20	individual	individual	ADJ
fuelectenerg-3144	1375	21	state	state	NOUN
fuelectenerg-3144	1375	22	variable	variable	ADJ
fuelectenerg-3144	1375	23	assignment	assignment	NOUN
fuelectenerg-3144	1375	24	must	must	AUX
fuelectenerg-3144	1375	25	be	be	AUX
fuelectenerg-3144	1375	26	compared	compare	VERB
fuelectenerg-3144	1375	27	between	between	ADP
fuelectenerg-3144	1375	28	the	the	DET
fuelectenerg-3144	1375	29	two	two	NUM
fuelectenerg-3144	1375	30	states	state	NOUN
fuelectenerg-3144	1375	31	,	,	PUNCT
fuelectenerg-3144	1375	32	and	and	CCONJ
fuelectenerg-3144	1375	33	a	a	DET
fuelectenerg-3144	1375	34	comparison	comparison	NOUN
fuelectenerg-3144	1375	35	of	of	ADP
fuelectenerg-3144	1375	36	a	a	DET
fuelectenerg-3144	1375	37	pair	pair	NOUN
fuelectenerg-3144	1375	38	of	of	ADP
fuelectenerg-3144	1375	39	inputs	input	NOUN
fuelectenerg-3144	1375	40	similarly	similarly	ADV
fuelectenerg-3144	1375	41	has	have	AUX
fuelectenerg-3144	1375	42	complexityo(ni	complexityo(ni	PROPN
fuelectenerg-3144	1375	43	)	)	PUNCT
fuelectenerg-3144	1375	44	=	=	SYM
fuelectenerg-3144	1375	45	o(logni	o(logni	NOUN
fuelectenerg-3144	1375	46	)	)	PUNCT
fuelectenerg-3144	1375	47	.	.	PUNCT
fuelectenerg-3144	1376	1	the	the	DET
fuelectenerg-3144	1376	2	final	final	ADJ
fuelectenerg-3144	1376	3	toffoli	toffoli	PROPN
fuelectenerg-3144	1376	4	gate	gate	NOUN
fuelectenerg-3144	1376	5	in	in	ADP
fuelectenerg-3144	1376	6	figure	figure	NOUN
fuelectenerg-3144	1376	7	21	21	NUM
fuelectenerg-3144	1376	8	has	have	VERB
fuelectenerg-3144	1376	9	ns(ns−1)/2+ni(ni−1)/2	ns(ns−1)/2+ni(ni−1)/2	NOUN
fuelectenerg-3144	1376	10	control	control	NOUN
fuelectenerg-3144	1376	11	qubits	qubit	NOUN
fuelectenerg-3144	1376	12	,	,	PUNCT
fuelectenerg-3144	1376	13	giving	give	VERB
fuelectenerg-3144	1376	14	the	the	DET
fuelectenerg-3144	1376	15	entire	entire	ADJ
fuelectenerg-3144	1376	16	uniqueness	uniqueness	NOUN
fuelectenerg-3144	1376	17	-	-	PUNCT
fuelectenerg-3144	1376	18	checking	check	VERB
fuelectenerg-3144	1376	19	circuit	circuit	NOUN
fuelectenerg-3144	1376	20	a	a	DET
fuelectenerg-3144	1376	21	complexity	complexity	NOUN
fuelectenerg-3144	1376	22	of	of	ADP
fuelectenerg-3144	1376	23	ns(ns	ns(ns	ADJ
fuelectenerg-3144	1376	24	−	−	PROPN
fuelectenerg-3144	1376	25	1	1	NUM
fuelectenerg-3144	1376	26	)	)	SYM
fuelectenerg-3144	1376	27	2	2	NUM
fuelectenerg-3144	1376	28	·	·	PUNCT
fuelectenerg-3144	1376	29	o(logns	o(logn	VERB
fuelectenerg-3144	1376	30	)	)	PUNCT
fuelectenerg-3144	1376	31	+	+	CCONJ
fuelectenerg-3144	1376	32	ni(ni	ni(ni	PROPN
fuelectenerg-3144	1376	33	−	−	NOUN
fuelectenerg-3144	1376	34	1	1	NUM
fuelectenerg-3144	1376	35	)	)	SYM
fuelectenerg-3144	1376	36	2	2	NUM
fuelectenerg-3144	1376	37	·	·	PUNCT
fuelectenerg-3144	1376	38	o(logni	o(logni	NOUN
fuelectenerg-3144	1376	39	)	)	PUNCT
fuelectenerg-3144	1377	1	+	+	NOUN
fuelectenerg-3144	1377	2	o	o	X
fuelectenerg-3144	1377	3	(	(	PUNCT
fuelectenerg-3144	1377	4	ns(ns	ns(ns	ADJ
fuelectenerg-3144	1377	5	−	−	ADP
fuelectenerg-3144	1377	6	1	1	NUM
fuelectenerg-3144	1377	7	)	)	SYM
fuelectenerg-3144	1377	8	2	2	NUM
fuelectenerg-3144	1377	9	+	+	CCONJ
fuelectenerg-3144	1377	10	ni(ni	ni(ni	PROPN
fuelectenerg-3144	1377	11	−	−	NOUN
fuelectenerg-3144	1377	12	1	1	NUM
fuelectenerg-3144	1377	13	)	)	PUNCT
fuelectenerg-3144	1377	14	2	2	NUM
fuelectenerg-3144	1377	15	)	)	PUNCT
fuelectenerg-3144	1377	16	=	=	VERB
fuelectenerg-3144	1377	17	o(n2	o(n2	ADV
fuelectenerg-3144	1377	18	s	s	AUX
fuelectenerg-3144	1377	19	logns	logn	NOUN
fuelectenerg-3144	1377	20	+	+	SYM
fuelectenerg-3144	1377	21	n2	n2	ADJ
fuelectenerg-3144	1377	22	i	i	PRON
fuelectenerg-3144	1377	23	logni	logni	NOUN
fuelectenerg-3144	1377	24	)	)	PUNCT
fuelectenerg-3144	1377	25	.	.	PUNCT
fuelectenerg-3144	1378	1	comparison	comparison	NOUN
fuelectenerg-3144	1378	2	with	with	ADP
fuelectenerg-3144	1378	3	eq	eq	NOUN
fuelectenerg-3144	1378	4	.	.	PROPN
fuelectenerg-3144	1378	5	7	7	NUM
fuelectenerg-3144	1378	6	shows	show	VERB
fuelectenerg-3144	1378	7	that	that	SCONJ
fuelectenerg-3144	1378	8	the	the	DET
fuelectenerg-3144	1378	9	cost	cost	NOUN
fuelectenerg-3144	1378	10	-	-	PUNCT
fuelectenerg-3144	1378	11	calculating	calculate	VERB
fuelectenerg-3144	1378	12	circuit	circuit	NOUN
fuelectenerg-3144	1378	13	dominates	dominate	VERB
fuelectenerg-3144	1378	14	the	the	DET
fuelectenerg-3144	1378	15	uniqueness	uniqueness	NOUN
fuelectenerg-3144	1378	16	-	-	PUNCT
fuelectenerg-3144	1378	17	checking	check	VERB
fuelectenerg-3144	1378	18	circuit	circuit	NOUN
fuelectenerg-3144	1378	19	in	in	ADP
fuelectenerg-3144	1378	20	terms	term	NOUN
fuelectenerg-3144	1378	21	of	of	ADP
fuelectenerg-3144	1378	22	complexity	complexity	NOUN
fuelectenerg-3144	1378	23	.	.	PUNCT
fuelectenerg-3144	1379	1	therefore	therefore	ADV
fuelectenerg-3144	1379	2	,	,	PUNCT
fuelectenerg-3144	1379	3	the	the	DET
fuelectenerg-3144	1379	4	run	run	NOUN
fuelectenerg-3144	1379	5	time	time	NOUN
fuelectenerg-3144	1379	6	complexity	complexity	NOUN
fuelectenerg-3144	1379	7	of	of	ADP
fuelectenerg-3144	1379	8	the	the	DET
fuelectenerg-3144	1379	9	entire	entire	ADJ
fuelectenerg-3144	1379	10	quantum	quantum	NOUN
fuelectenerg-3144	1379	11	oracle	oracle	NOUN
fuelectenerg-3144	1379	12	is	be	AUX
fuelectenerg-3144	1379	13	still	still	ADV
fuelectenerg-3144	1379	14	given	give	VERB
fuelectenerg-3144	1379	15	by	by	ADP
fuelectenerg-3144	1379	16	eq	eq	ADJ
fuelectenerg-3144	1379	17	.	.	PROPN
fuelectenerg-3144	1379	18	7	7	X
fuelectenerg-3144	1379	19	.	.	X
fuelectenerg-3144	1380	1	as	as	SCONJ
fuelectenerg-3144	1380	2	we	we	PRON
fuelectenerg-3144	1380	3	recall	recall	VERB
fuelectenerg-3144	1380	4	from	from	ADP
fuelectenerg-3144	1380	5	section	section	NOUN
fuelectenerg-3144	1380	6	3.2	3.2	NUM
fuelectenerg-3144	1380	7	,	,	PUNCT
fuelectenerg-3144	1380	8	our	our	PRON
fuelectenerg-3144	1380	9	proposed	propose	VERB
fuelectenerg-3144	1380	10	quantum	quantum	ADJ
fuelectenerg-3144	1380	11	algorithm	algorithm	NOUN
fuelectenerg-3144	1380	12	involves	involve	VERB
fuelectenerg-3144	1380	13	executing	execute	VERB
fuelectenerg-3144	1380	14	grover	grover	PROPN
fuelectenerg-3144	1380	15	’s	’s	PART
fuelectenerg-3144	1380	16	algorithm	algorithm	PROPN
fuelectenerg-3144	1380	17	multiple	multiple	ADJ
fuelectenerg-3144	1380	18	times	time	NOUN
fuelectenerg-3144	1380	19	to	to	PART
fuelectenerg-3144	1380	20	find	find	VERB
fuelectenerg-3144	1380	21	an	an	DET
fuelectenerg-3144	1380	22	optimal	optimal	ADJ
fuelectenerg-3144	1380	23	encoding	encoding	NOUN
fuelectenerg-3144	1380	24	for	for	ADP
fuelectenerg-3144	1380	25	an	an	DET
fuelectenerg-3144	1380	26	fsm	fsm	PROPN
fuelectenerg-3144	1380	27	.	.	PUNCT
fuelectenerg-3144	1381	1	it	it	PRON
fuelectenerg-3144	1381	2	is	be	AUX
fuelectenerg-3144	1381	3	uncertain	uncertain	ADJ
fuelectenerg-3144	1381	4	exactly	exactly	ADV
fuelectenerg-3144	1381	5	how	how	SCONJ
fuelectenerg-3144	1381	6	many	many	ADJ
fuelectenerg-3144	1381	7	executions	execution	NOUN
fuelectenerg-3144	1381	8	of	of	ADP
fuelectenerg-3144	1381	9	grover	grover	NOUN
fuelectenerg-3144	1381	10	’s	’s	PART
fuelectenerg-3144	1381	11	algorithm	algorithm	NOUN
fuelectenerg-3144	1381	12	are	be	AUX
fuelectenerg-3144	1381	13	required	require	VERB
fuelectenerg-3144	1381	14	,	,	PUNCT
fuelectenerg-3144	1381	15	as	as	SCONJ
fuelectenerg-3144	1381	16	we	we	PRON
fuelectenerg-3144	1381	17	do	do	AUX
fuelectenerg-3144	1381	18	not	not	PART
fuelectenerg-3144	1381	19	consider	consider	VERB
fuelectenerg-3144	1381	20	the	the	DET
fuelectenerg-3144	1381	21	details	detail	NOUN
fuelectenerg-3144	1381	22	of	of	ADP
fuelectenerg-3144	1381	23	the	the	DET
fuelectenerg-3144	1381	24	search	search	NOUN
fuelectenerg-3144	1381	25	procedure	procedure	NOUN
fuelectenerg-3144	1381	26	used	use	VERB
fuelectenerg-3144	1381	27	to	to	PART
fuelectenerg-3144	1381	28	find	find	VERB
fuelectenerg-3144	1381	29	the	the	DET
fuelectenerg-3144	1381	30	minimum	minimum	ADJ
fuelectenerg-3144	1381	31	cost	cost	NOUN
fuelectenerg-3144	1381	32	.	.	PUNCT
fuelectenerg-3144	1382	1	however	however	ADV
fuelectenerg-3144	1382	2	,	,	PUNCT
fuelectenerg-3144	1382	3	we	we	PRON
fuelectenerg-3144	1382	4	may	may	AUX
fuelectenerg-3144	1382	5	consider	consider	VERB
fuelectenerg-3144	1382	6	the	the	DET
fuelectenerg-3144	1382	7	time	time	NOUN
fuelectenerg-3144	1382	8	complexity	complexity	NOUN
fuelectenerg-3144	1382	9	of	of	ADP
fuelectenerg-3144	1382	10	just	just	ADV
fuelectenerg-3144	1382	11	a	a	DET
fuelectenerg-3144	1382	12	single	single	ADJ
fuelectenerg-3144	1382	13	execution	execution	NOUN
fuelectenerg-3144	1382	14	of	of	ADP
fuelectenerg-3144	1382	15	grover	grover	NOUN
fuelectenerg-3144	1382	16	’s	’s	PART
fuelectenerg-3144	1382	17	algorithm	algorithm	NOUN
fuelectenerg-3144	1382	18	.	.	PUNCT
fuelectenerg-3144	1383	1	this	this	PRON
fuelectenerg-3144	1383	2	does	do	AUX
fuelectenerg-3144	1383	3	not	not	PART
fuelectenerg-3144	1383	4	affect	affect	VERB
fuelectenerg-3144	1383	5	our	our	PRON
fuelectenerg-3144	1383	6	ability	ability	NOUN
fuelectenerg-3144	1383	7	to	to	PART
fuelectenerg-3144	1383	8	compare	compare	VERB
fuelectenerg-3144	1383	9	the	the	DET
fuelectenerg-3144	1383	10	performance	performance	NOUN
fuelectenerg-3144	1383	11	of	of	ADP
fuelectenerg-3144	1383	12	quantum	quantum	NOUN
fuelectenerg-3144	1383	13	and	and	CCONJ
fuelectenerg-3144	1383	14	classical	classical	ADJ
fuelectenerg-3144	1383	15	algorithms	algorithm	NOUN
fuelectenerg-3144	1383	16	because	because	SCONJ
fuelectenerg-3144	1383	17	they	they	PRON
fuelectenerg-3144	1383	18	both	both	PRON
fuelectenerg-3144	1383	19	must	must	AUX
fuelectenerg-3144	1383	20	perform	perform	VERB
fuelectenerg-3144	1383	21	a	a	DET
fuelectenerg-3144	1383	22	search	search	NOUN
fuelectenerg-3144	1383	23	procedure	procedure	NOUN
fuelectenerg-3144	1383	24	as	as	SCONJ
fuelectenerg-3144	1383	25	described	describe	VERB
fuelectenerg-3144	1383	26	in	in	ADP
fuelectenerg-3144	1383	27	section	section	NOUN
fuelectenerg-3144	1383	28	3.2	3.2	NUM
fuelectenerg-3144	1383	29	in	in	ADP
fuelectenerg-3144	1383	30	order	order	NOUN
fuelectenerg-3144	1383	31	to	to	PART
fuelectenerg-3144	1383	32	find	find	VERB
fuelectenerg-3144	1383	33	the	the	DET
fuelectenerg-3144	1383	34	minimum	minimum	ADJ
fuelectenerg-3144	1383	35	possible	possible	ADJ
fuelectenerg-3144	1383	36	cost	cost	NOUN
fuelectenerg-3144	1383	37	.	.	PUNCT
fuelectenerg-3144	1384	1	we	we	PRON
fuelectenerg-3144	1384	2	discussed	discuss	VERB
fuelectenerg-3144	1384	3	in	in	ADP
fuelectenerg-3144	1384	4	section	section	NOUN
fuelectenerg-3144	1384	5	3.1	3.1	NUM
fuelectenerg-3144	1384	6	how	how	SCONJ
fuelectenerg-3144	1384	7	grover	grover	NOUN
fuelectenerg-3144	1384	8	’s	’s	PART
fuelectenerg-3144	1384	9	algorithm	algorithm	NOUN
fuelectenerg-3144	1384	10	(	(	PUNCT
fuelectenerg-3144	1384	11	together	together	ADV
fuelectenerg-3144	1384	12	with	with	ADP
fuelectenerg-3144	1384	13	its	its	PRON
fuelectenerg-3144	1384	14	extensions	extension	NOUN
fuelectenerg-3144	1384	15	for	for	ADP
fuelectenerg-3144	1384	16	the	the	DET
fuelectenerg-3144	1384	17	case	case	NOUN
fuelectenerg-3144	1384	18	of	of	ADP
fuelectenerg-3144	1384	19	multiple	multiple	ADJ
fuelectenerg-3144	1384	20	solutions	solution	NOUN
fuelectenerg-3144	1384	21	)	)	PUNCT
fuelectenerg-3144	1384	22	is	be	AUX
fuelectenerg-3144	1384	23	able	able	ADJ
fuelectenerg-3144	1384	24	to	to	PART
fuelectenerg-3144	1384	25	find	find	VERB
fuelectenerg-3144	1384	26	a	a	DET
fuelectenerg-3144	1384	27	solution	solution	NOUN
fuelectenerg-3144	1384	28	to	to	ADP
fuelectenerg-3144	1384	29	a	a	DET
fuelectenerg-3144	1384	30	satisfaction	satisfaction	NOUN
fuelectenerg-3144	1384	31	problem	problem	NOUN
fuelectenerg-3144	1384	32	,	,	PUNCT
fuelectenerg-3144	1384	33	or	or	CCONJ
fuelectenerg-3144	1384	34	detect	detect	VERB
fuelectenerg-3144	1384	35	the	the	DET
fuelectenerg-3144	1384	36	non	non	NOUN
fuelectenerg-3144	1384	37	-	-	NOUN
fuelectenerg-3144	1384	38	existence	existence	NOUN
fuelectenerg-3144	1384	39	of	of	ADP
fuelectenerg-3144	1384	40	a	a	DET
fuelectenerg-3144	1384	41	solution	solution	NOUN
fuelectenerg-3144	1384	42	,	,	PUNCT
fuelectenerg-3144	1384	43	with	with	ADP
fuelectenerg-3144	1384	44	o	o	PROPN
fuelectenerg-3144	1384	45	(	(	PUNCT
fuelectenerg-3144	1384	46	√	√	NUM
fuelectenerg-3144	1384	47	m	m	NOUN
fuelectenerg-3144	1384	48	)	)	PUNCT
fuelectenerg-3144	1384	49	executions	execution	NOUN
fuelectenerg-3144	1384	50	of	of	ADP
fuelectenerg-3144	1384	51	the	the	DET
fuelectenerg-3144	1384	52	quantum	quantum	NOUN
fuelectenerg-3144	1384	53	oracle	oracle	NOUN
fuelectenerg-3144	1384	54	,	,	PUNCT
fuelectenerg-3144	1384	55	where	where	SCONJ
fuelectenerg-3144	1384	56	m	m	PROPN
fuelectenerg-3144	1384	57	is	be	AUX
fuelectenerg-3144	1384	58	the	the	DET
fuelectenerg-3144	1384	59	size	size	NOUN
fuelectenerg-3144	1384	60	of	of	ADP
fuelectenerg-3144	1384	61	the	the	DET
fuelectenerg-3144	1384	62	search	search	NOUN
fuelectenerg-3144	1384	63	space	space	NOUN
fuelectenerg-3144	1384	64	.	.	PUNCT
fuelectenerg-3144	1385	1	(	(	PUNCT
fuelectenerg-3144	1385	2	we	we	PRON
fuelectenerg-3144	1385	3	have	have	AUX
fuelectenerg-3144	1385	4	used	use	VERB
fuelectenerg-3144	1385	5	m	m	NOUN
fuelectenerg-3144	1385	6	to	to	PART
fuelectenerg-3144	1385	7	avoid	avoid	VERB
fuelectenerg-3144	1385	8	confusion	confusion	NOUN
fuelectenerg-3144	1385	9	with	with	ADP
fuelectenerg-3144	1385	10	the	the	DET
fuelectenerg-3144	1385	11	numbers	number	NOUN
fuelectenerg-3144	1385	12	of	of	ADP
fuelectenerg-3144	1385	13	states	state	NOUN
fuelectenerg-3144	1385	14	and	and	CCONJ
fuelectenerg-3144	1385	15	input	input	NOUN
fuelectenerg-3144	1385	16	values	value	NOUN
fuelectenerg-3144	1385	17	.	.	PUNCT
fuelectenerg-3144	1385	18	)	)	PUNCT
fuelectenerg-3144	1386	1	as	as	SCONJ
fuelectenerg-3144	1386	2	discussed	discuss	VERB
fuelectenerg-3144	1386	3	in	in	ADP
fuelectenerg-3144	1386	4	section	section	NOUN
fuelectenerg-3144	1386	5	5.1	5.1	NUM
fuelectenerg-3144	1386	6	and	and	CCONJ
fuelectenerg-3144	1386	7	shown	show	VERB
fuelectenerg-3144	1386	8	in	in	ADP
fuelectenerg-3144	1386	9	figure	figure	NOUN
fuelectenerg-3144	1386	10	10(b	10(b	NUM
fuelectenerg-3144	1386	11	)	)	PUNCT
fuelectenerg-3144	1386	12	,	,	PUNCT
fuelectenerg-3144	1386	13	our	our	PRON
fuelectenerg-3144	1386	14	proposed	propose	VERB
fuelectenerg-3144	1386	15	oracle	oracle	NOUN
fuelectenerg-3144	1386	16	requires	require	VERB
fuelectenerg-3144	1386	17	nsns	nsns	NOUN
fuelectenerg-3144	1387	1	+	+	PROPN
fuelectenerg-3144	1387	2	nini	nini	X
fuelectenerg-3144	1387	3	=	=	SYM
fuelectenerg-3144	1387	4	o(ns	o(ns	NOUN
fuelectenerg-3144	1387	5	logns	logn	VERB
fuelectenerg-3144	1387	6	+	+	PROPN
fuelectenerg-3144	1387	7	ni	ni	ADJ
fuelectenerg-3144	1387	8	+	+	ADJ
fuelectenerg-3144	1387	9	logni	logni	NOUN
fuelectenerg-3144	1387	10	)	)	PUNCT
fuelectenerg-3144	1387	11	input	input	NOUN
fuelectenerg-3144	1387	12	qubits	qubit	NOUN
fuelectenerg-3144	1387	13	,	,	PUNCT
fuelectenerg-3144	1387	14	corresponding	correspond	VERB
fuelectenerg-3144	1387	15	to	to	ADP
fuelectenerg-3144	1387	16	a	a	DET
fuelectenerg-3144	1387	17	search	search	NOUN
fuelectenerg-3144	1387	18	space	space	NOUN
fuelectenerg-3144	1387	19	of	of	ADP
fuelectenerg-3144	1387	20	size	size	NOUN
fuelectenerg-3144	1387	21	o(2ns	o(2ns	PROPN
fuelectenerg-3144	1387	22	logns+ni+logni	logns+ni+logni	NOUN
fuelectenerg-3144	1387	23	)	)	PUNCT
fuelectenerg-3144	1387	24	=	=	SYM
fuelectenerg-3144	1387	25	o(ns	o(ns	PROPN
fuelectenerg-3144	1387	26	nsni	nsni	NOUN
fuelectenerg-3144	1387	27	ni	ni	NOUN
fuelectenerg-3144	1387	28	)	)	PUNCT
fuelectenerg-3144	1387	29	.	.	PUNCT
fuelectenerg-3144	1388	1	hence	hence	ADV
fuelectenerg-3144	1388	2	,	,	PUNCT
fuelectenerg-3144	1388	3	a	a	DET
fuelectenerg-3144	1388	4	single	single	ADJ
fuelectenerg-3144	1388	5	execution	execution	NOUN
fuelectenerg-3144	1388	6	of	of	ADP
fuelectenerg-3144	1388	7	grover	grover	PROPN
fuelectenerg-3144	1388	8	’s	’s	PART
fuelectenerg-3144	1388	9	algorithm	algorithm	NOUN
fuelectenerg-3144	1388	10	requires	require	VERB
fuelectenerg-3144	1388	11	o	o	NOUN
fuelectenerg-3144	1388	12	(	(	PUNCT
fuelectenerg-3144	1388	13	√	√	PROPN
fuelectenerg-3144	1388	14	ns	ns	PROPN
fuelectenerg-3144	1388	15	nsni	nsni	PROPN
fuelectenerg-3144	1388	16	ni	ni	PROPN
fuelectenerg-3144	1388	17	)	)	PUNCT
fuelectenerg-3144	1388	18	executions	execution	NOUN
fuelectenerg-3144	1388	19	of	of	ADP
fuelectenerg-3144	1388	20	the	the	DET
fuelectenerg-3144	1388	21	quantum	quantum	ADJ
fuelectenerg-3144	1388	22	oracle	oracle	NOUN
fuelectenerg-3144	1388	23	.	.	PUNCT
fuelectenerg-3144	1389	1	the	the	DET
fuelectenerg-3144	1389	2	total	total	ADJ
fuelectenerg-3144	1389	3	complexity	complexity	NOUN
fuelectenerg-3144	1389	4	of	of	ADP
fuelectenerg-3144	1389	5	one	one	NUM
fuelectenerg-3144	1389	6	execution	execution	NOUN
fuelectenerg-3144	1389	7	of	of	ADP
fuelectenerg-3144	1389	8	grover	grover	PROPN
fuelectenerg-3144	1389	9	’s	’s	PART
fuelectenerg-3144	1389	10	algorithm	algorithm	NOUN
fuelectenerg-3144	1389	11	,	,	PUNCT
fuelectenerg-3144	1389	12	taking	take	VERB
fuelectenerg-3144	1389	13	into	into	ADP
fuelectenerg-3144	1389	14	account	account	NOUN
fuelectenerg-3144	1389	15	the	the	DET
fuelectenerg-3144	1389	16	previously	previously	ADV
fuelectenerg-3144	1389	17	determined	determine	VERB
fuelectenerg-3144	1389	18	complexity	complexity	NOUN
fuelectenerg-3144	1389	19	of	of	ADP
fuelectenerg-3144	1389	20	the	the	DET
fuelectenerg-3144	1389	21	oracle	oracle	NOUN
fuelectenerg-3144	1389	22	,	,	PUNCT
fuelectenerg-3144	1389	23	is	be	AUX
fuelectenerg-3144	1389	24	then	then	ADV
fuelectenerg-3144	1389	25	o	o	NOUN
fuelectenerg-3144	1389	26	(	(	PUNCT
fuelectenerg-3144	1389	27	√	√	NUM
fuelectenerg-3144	1389	28	ns	ns	NUM
fuelectenerg-3144	1389	29	nsni	nsni	NOUN
fuelectenerg-3144	1389	30	ni(ns	ni(ns	PROPN
fuelectenerg-3144	1389	31	3(logns	3(logns	NUM
fuelectenerg-3144	1389	32	)	)	PUNCT
fuelectenerg-3144	1389	33	2	2	NUM
fuelectenerg-3144	1390	1	+	+	NOUN
fuelectenerg-3144	1390	2	ni	ni	NOUN
fuelectenerg-3144	1390	3	2(ns	2(ns	NOUN
fuelectenerg-3144	1390	4	+	+	CCONJ
fuelectenerg-3144	1390	5	logni)(logns	logni)(logns	ADJ
fuelectenerg-3144	1390	6	logni	logni	NOUN
fuelectenerg-3144	1390	7	)	)	PUNCT
fuelectenerg-3144	1390	8	)	)	PUNCT
fuelectenerg-3144	1390	9	)	)	PUNCT
fuelectenerg-3144	1390	10	.	.	PUNCT
fuelectenerg-3144	1391	1	(	(	PUNCT
fuelectenerg-3144	1391	2	8)	8)	NUM
fuelectenerg-3144	1391	3	eq	eq	NOUN
fuelectenerg-3144	1391	4	.	.	NOUN
fuelectenerg-3144	1391	5	8	8	NUM
fuelectenerg-3144	1391	6	is	be	AUX
fuelectenerg-3144	1391	7	rather	rather	ADV
fuelectenerg-3144	1391	8	unwieldy	unwieldy	ADJ
fuelectenerg-3144	1391	9	for	for	ADP
fuelectenerg-3144	1391	10	a	a	DET
fuelectenerg-3144	1391	11	simple	simple	ADJ
fuelectenerg-3144	1391	12	,	,	PUNCT
fuelectenerg-3144	1391	13	rough	rough	ADJ
fuelectenerg-3144	1391	14	comparison	comparison	NOUN
fuelectenerg-3144	1391	15	between	between	ADP
fuelectenerg-3144	1391	16	the	the	DET
fuelectenerg-3144	1391	17	performance	performance	NOUN
fuelectenerg-3144	1391	18	of	of	ADP
fuelectenerg-3144	1391	19	quantum	quantum	ADJ
fuelectenerg-3144	1391	20	and	and	CCONJ
fuelectenerg-3144	1391	21	classical	classical	ADJ
fuelectenerg-3144	1391	22	algorithms	algorithm	NOUN
fuelectenerg-3144	1391	23	.	.	PUNCT
fuelectenerg-3144	1392	1	if	if	SCONJ
fuelectenerg-3144	1392	2	we	we	PRON
fuelectenerg-3144	1392	3	assume	assume	VERB
fuelectenerg-3144	1392	4	that	that	SCONJ
fuelectenerg-3144	1392	5	ns	ns	PROPN
fuelectenerg-3144	1392	6	=	=	SYM
fuelectenerg-3144	1392	7	ni	ni	PROPN
fuelectenerg-3144	1392	8	,	,	PUNCT
fuelectenerg-3144	1392	9	that	that	ADV
fuelectenerg-3144	1392	10	is	is	ADV
fuelectenerg-3144	1392	11	,	,	PUNCT
fuelectenerg-3144	1392	12	the	the	DET
fuelectenerg-3144	1392	13	fsm	fsm	PROPN
fuelectenerg-3144	1392	14	has	have	VERB
fuelectenerg-3144	1392	15	the	the	DET
fuelectenerg-3144	1392	16	same	same	ADJ
fuelectenerg-3144	1392	17	number	number	NOUN
fuelectenerg-3144	1392	18	of	of	ADP
fuelectenerg-3144	1392	19	states	state	NOUN
fuelectenerg-3144	1392	20	as	as	ADP
fuelectenerg-3144	1392	21	input	input	NOUN
fuelectenerg-3144	1392	22	values	value	NOUN
fuelectenerg-3144	1392	23	,	,	PUNCT
fuelectenerg-3144	1392	24	then	then	ADV
fuelectenerg-3144	1392	25	41	41	NUM
fuelectenerg-3144	1392	26	208	208	NUM
fuelectenerg-3144	1392	27	e.	e.	PROPN
fuelectenerg-3144	1392	28	tsai	tsai	PROPN
fuelectenerg-3144	1392	29	,	,	PUNCT
fuelectenerg-3144	1392	30	m.	m.	PROPN
fuelectenerg-3144	1392	31	perkowski	perkowski	PROPN
fuelectenerg-3144	1392	32	a	a	DET
fuelectenerg-3144	1392	33	quantum	quantum	ADJ
fuelectenerg-3144	1392	34	algorithm	algorithm	NOUN
fuelectenerg-3144	1392	35	for	for	ADP
fuelectenerg-3144	1392	36	automata	automata	NOUN
fuelectenerg-3144	1392	37	encoding	encode	VERB
fuelectenerg-3144	1392	38	209	209	NUM
fuelectenerg-3144	1392	39	eq	eq	NOUN
fuelectenerg-3144	1392	40	.	.	PROPN
fuelectenerg-3144	1392	41	8	8	NUM
fuelectenerg-3144	1392	42	simplifies	simplifie	NOUN
fuelectenerg-3144	1392	43	to	to	ADP
fuelectenerg-3144	1392	44	the	the	PRON
fuelectenerg-3144	1392	45	much	much	ADV
fuelectenerg-3144	1392	46	more	more	ADV
fuelectenerg-3144	1392	47	manageable	manageable	ADJ
fuelectenerg-3144	1392	48	o	o	NOUN
fuelectenerg-3144	1392	49	(	(	PUNCT
fuelectenerg-3144	1392	50	√	√	NUM
fuelectenerg-3144	1392	51	ns	ns	NUM
fuelectenerg-3144	1392	52	nsni	nsni	NOUN
fuelectenerg-3144	1392	53	ni(ns	ni(ns	PROPN
fuelectenerg-3144	1392	54	3(logns	3(logns	NUM
fuelectenerg-3144	1392	55	)	)	PUNCT
fuelectenerg-3144	1392	56	2	2	NUM
fuelectenerg-3144	1393	1	+	+	NOUN
fuelectenerg-3144	1393	2	ni	ni	NOUN
fuelectenerg-3144	1393	3	2(ns	2(ns	NOUN
fuelectenerg-3144	1393	4	+	+	CCONJ
fuelectenerg-3144	1393	5	logni)(logns	logni)(logns	ADJ
fuelectenerg-3144	1393	6	logni	logni	NOUN
fuelectenerg-3144	1393	7	)	)	PUNCT
fuelectenerg-3144	1393	8	)	)	PUNCT
fuelectenerg-3144	1393	9	)	)	PUNCT
fuelectenerg-3144	1394	1	=	=	SYM
fuelectenerg-3144	1395	1	o(ns	o(ns	PROPN
fuelectenerg-3144	1395	2	ns(ns	ns(ns	ADJ
fuelectenerg-3144	1395	3	3(logns	3(logns	NUM
fuelectenerg-3144	1395	4	)	)	PUNCT
fuelectenerg-3144	1395	5	2	2	NUM
fuelectenerg-3144	1396	1	+	+	NUM
fuelectenerg-3144	1396	2	ns	ns	NUM
fuelectenerg-3144	1396	3	2(ns	2(ns	NOUN
fuelectenerg-3144	1396	4	+	+	CCONJ
fuelectenerg-3144	1396	5	logns)(logns	logns)(logns	ADJ
fuelectenerg-3144	1396	6	logns	logn	NOUN
fuelectenerg-3144	1396	7	)	)	PUNCT
fuelectenerg-3144	1396	8	)	)	PUNCT
fuelectenerg-3144	1396	9	)	)	PUNCT
fuelectenerg-3144	1397	1	=	=	SYM
fuelectenerg-3144	1397	2	o(ns	o(ns	PROPN
fuelectenerg-3144	1397	3	ns(ns	ns(ns	ADJ
fuelectenerg-3144	1397	4	3(logns	3(logns	NUM
fuelectenerg-3144	1397	5	)	)	PUNCT
fuelectenerg-3144	1397	6	2	2	NUM
fuelectenerg-3144	1397	7	)	)	PUNCT
fuelectenerg-3144	1397	8	)	)	PUNCT
fuelectenerg-3144	1398	1	=	=	SYM
fuelectenerg-3144	1398	2	o(ns	o(ns	NOUN
fuelectenerg-3144	1398	3	ns+3(logns	ns+3(logn	NOUN
fuelectenerg-3144	1398	4	)	)	PUNCT
fuelectenerg-3144	1398	5	2	2	NUM
fuelectenerg-3144	1398	6	)	)	PUNCT
fuelectenerg-3144	1398	7	.	.	PUNCT
fuelectenerg-3144	1399	1	(	(	PUNCT
fuelectenerg-3144	1399	2	9	9	X
fuelectenerg-3144	1399	3	)	)	PUNCT
fuelectenerg-3144	1399	4	6.2	6.2	NUM
fuelectenerg-3144	1399	5	comparison	comparison	NOUN
fuelectenerg-3144	1399	6	with	with	ADP
fuelectenerg-3144	1399	7	a	a	DET
fuelectenerg-3144	1399	8	classical	classical	ADJ
fuelectenerg-3144	1399	9	algorithm	algorithm	NOUN
fuelectenerg-3144	1399	10	a	a	DET
fuelectenerg-3144	1399	11	comparable	comparable	ADJ
fuelectenerg-3144	1399	12	classical	classical	ADJ
fuelectenerg-3144	1399	13	algorithm	algorithm	NOUN
fuelectenerg-3144	1399	14	to	to	PART
fuelectenerg-3144	1399	15	solve	solve	VERB
fuelectenerg-3144	1399	16	the	the	DET
fuelectenerg-3144	1399	17	fsm	fsm	PROPN
fuelectenerg-3144	1399	18	encoding	encoding	NOUN
fuelectenerg-3144	1399	19	problem	problem	NOUN
fuelectenerg-3144	1399	20	would	would	AUX
fuelectenerg-3144	1399	21	operate	operate	VERB
fuelectenerg-3144	1399	22	in	in	ADP
fuelectenerg-3144	1399	23	much	much	ADV
fuelectenerg-3144	1399	24	the	the	DET
fuelectenerg-3144	1399	25	same	same	ADJ
fuelectenerg-3144	1399	26	way	way	NOUN
fuelectenerg-3144	1399	27	as	as	ADP
fuelectenerg-3144	1399	28	our	our	PRON
fuelectenerg-3144	1399	29	proposed	propose	VERB
fuelectenerg-3144	1399	30	quantum	quantum	NOUN
fuelectenerg-3144	1399	31	algorithm	algorithm	NOUN
fuelectenerg-3144	1399	32	,	,	PUNCT
fuelectenerg-3144	1399	33	with	with	ADP
fuelectenerg-3144	1399	34	the	the	DET
fuelectenerg-3144	1399	35	main	main	ADJ
fuelectenerg-3144	1399	36	difference	difference	NOUN
fuelectenerg-3144	1399	37	being	be	AUX
fuelectenerg-3144	1399	38	that	that	SCONJ
fuelectenerg-3144	1399	39	a	a	DET
fuelectenerg-3144	1399	40	classical	classical	ADJ
fuelectenerg-3144	1399	41	computer	computer	NOUN
fuelectenerg-3144	1399	42	of	of	ADP
fuelectenerg-3144	1399	43	course	course	NOUN
fuelectenerg-3144	1399	44	can	can	AUX
fuelectenerg-3144	1399	45	not	not	PART
fuelectenerg-3144	1399	46	use	use	VERB
fuelectenerg-3144	1399	47	grover	grover	NOUN
fuelectenerg-3144	1399	48	’s	’s	PART
fuelectenerg-3144	1399	49	algorithm	algorithm	NOUN
fuelectenerg-3144	1399	50	and	and	CCONJ
fuelectenerg-3144	1399	51	must	must	AUX
fuelectenerg-3144	1399	52	instead	instead	ADV
fuelectenerg-3144	1399	53	use	use	VERB
fuelectenerg-3144	1399	54	a	a	DET
fuelectenerg-3144	1399	55	straightforward	straightforward	ADJ
fuelectenerg-3144	1399	56	exhaustive	exhaustive	ADJ
fuelectenerg-3144	1399	57	search	search	NOUN
fuelectenerg-3144	1399	58	.	.	PUNCT
fuelectenerg-3144	1400	1	in	in	ADP
fuelectenerg-3144	1400	2	particular	particular	ADJ
fuelectenerg-3144	1400	3	,	,	PUNCT
fuelectenerg-3144	1400	4	a	a	DET
fuelectenerg-3144	1400	5	classical	classical	ADJ
fuelectenerg-3144	1400	6	computer	computer	NOUN
fuelectenerg-3144	1400	7	must	must	AUX
fuelectenerg-3144	1400	8	also	also	ADV
fuelectenerg-3144	1400	9	use	use	VERB
fuelectenerg-3144	1400	10	eqs	eqs	PROPN
fuelectenerg-3144	1400	11	.	.	PROPN
fuelectenerg-3144	1400	12	1	1	NUM
fuelectenerg-3144	1400	13	and	and	CCONJ
fuelectenerg-3144	1400	14	2	2	NUM
fuelectenerg-3144	1400	15	to	to	PART
fuelectenerg-3144	1400	16	calculate	calculate	VERB
fuelectenerg-3144	1400	17	the	the	DET
fuelectenerg-3144	1400	18	cost	cost	NOUN
fuelectenerg-3144	1400	19	of	of	ADP
fuelectenerg-3144	1400	20	a	a	DET
fuelectenerg-3144	1400	21	given	give	VERB
fuelectenerg-3144	1400	22	encoding	encoding	NOUN
fuelectenerg-3144	1400	23	.	.	PUNCT
fuelectenerg-3144	1401	1	most	most	ADJ
fuelectenerg-3144	1401	2	,	,	PUNCT
fuelectenerg-3144	1401	3	if	if	SCONJ
fuelectenerg-3144	1401	4	not	not	PART
fuelectenerg-3144	1401	5	all	all	PRON
fuelectenerg-3144	1401	6	,	,	PUNCT
fuelectenerg-3144	1401	7	modern	modern	ADJ
fuelectenerg-3144	1401	8	digital	digital	ADJ
fuelectenerg-3144	1401	9	computers	computer	NOUN
fuelectenerg-3144	1401	10	are	be	AUX
fuelectenerg-3144	1401	11	capable	capable	ADJ
fuelectenerg-3144	1401	12	of	of	ADP
fuelectenerg-3144	1401	13	performing	perform	VERB
fuelectenerg-3144	1401	14	so	so	ADV
fuelectenerg-3144	1401	15	-	-	PUNCT
fuelectenerg-3144	1401	16	called	call	VERB
fuelectenerg-3144	1401	17	bitwise	bitwise	NOUN
fuelectenerg-3144	1401	18	logical	logical	ADJ
fuelectenerg-3144	1401	19	operations	operation	NOUN
fuelectenerg-3144	1401	20	on	on	ADP
fuelectenerg-3144	1401	21	words	word	NOUN
fuelectenerg-3144	1401	22	of	of	ADP
fuelectenerg-3144	1401	23	significant	significant	ADJ
fuelectenerg-3144	1401	24	length	length	NOUN
fuelectenerg-3144	1401	25	(	(	PUNCT
fuelectenerg-3144	1401	26	at	at	ADP
fuelectenerg-3144	1401	27	least	least	ADV
fuelectenerg-3144	1401	28	32	32	NUM
fuelectenerg-3144	1401	29	or	or	CCONJ
fuelectenerg-3144	1401	30	64	64	NUM
fuelectenerg-3144	1401	31	bits	bit	NOUN
fuelectenerg-3144	1401	32	)	)	PUNCT
fuelectenerg-3144	1401	33	,	,	PUNCT
fuelectenerg-3144	1401	34	which	which	PRON
fuelectenerg-3144	1401	35	allows	allow	VERB
fuelectenerg-3144	1401	36	them	they	PRON
fuelectenerg-3144	1401	37	to	to	PART
fuelectenerg-3144	1401	38	evaluate	evaluate	VERB
fuelectenerg-3144	1401	39	dj(s	dj(	NOUN
fuelectenerg-3144	1401	40	,	,	PUNCT
fuelectenerg-3144	1401	41	s	s	NOUN
fuelectenerg-3144	1401	42	′	′	NOUN
fuelectenerg-3144	1401	43	)	)	PUNCT
fuelectenerg-3144	1401	44	and	and	CCONJ
fuelectenerg-3144	1401	45	ai(s	ai(s	NUM
fuelectenerg-3144	1401	46	,	,	PUNCT
fuelectenerg-3144	1401	47	s	s	NOUN
fuelectenerg-3144	1401	48	′	′	NOUN
fuelectenerg-3144	1401	49	)	)	PUNCT
fuelectenerg-3144	1401	50	for	for	ADP
fuelectenerg-3144	1401	51	any	any	DET
fuelectenerg-3144	1401	52	pair	pair	NOUN
fuelectenerg-3144	1401	53	of	of	ADP
fuelectenerg-3144	1401	54	states	state	NOUN
fuelectenerg-3144	1401	55	or	or	CCONJ
fuelectenerg-3144	1401	56	dj(i	dj(i	NOUN
fuelectenerg-3144	1401	57	,	,	PUNCT
fuelectenerg-3144	1401	58	i	i	PRON
fuelectenerg-3144	1401	59	′	′	VERB
fuelectenerg-3144	1401	60	)	)	PUNCT
fuelectenerg-3144	1401	61	for	for	ADP
fuelectenerg-3144	1401	62	any	any	DET
fuelectenerg-3144	1401	63	pair	pair	NOUN
fuelectenerg-3144	1401	64	of	of	ADP
fuelectenerg-3144	1401	65	inputs	input	NOUN
fuelectenerg-3144	1401	66	in	in	ADP
fuelectenerg-3144	1401	67	o(1	o(1	NOUN
fuelectenerg-3144	1401	68	)	)	PUNCT
fuelectenerg-3144	1401	69	time	time	NOUN
fuelectenerg-3144	1401	70	.	.	PUNCT
fuelectenerg-3144	1402	1	(	(	PUNCT
fuelectenerg-3144	1402	2	we	we	PRON
fuelectenerg-3144	1402	3	need	need	AUX
fuelectenerg-3144	1402	4	not	not	PART
fuelectenerg-3144	1402	5	consider	consider	VERB
fuelectenerg-3144	1402	6	state	state	NOUN
fuelectenerg-3144	1402	7	machines	machine	NOUN
fuelectenerg-3144	1402	8	with	with	ADP
fuelectenerg-3144	1402	9	more	more	ADJ
fuelectenerg-3144	1402	10	than	than	ADP
fuelectenerg-3144	1402	11	232	232	NUM
fuelectenerg-3144	1402	12	states	state	NOUN
fuelectenerg-3144	1402	13	or	or	CCONJ
fuelectenerg-3144	1402	14	input	input	NOUN
fuelectenerg-3144	1402	15	values	value	NOUN
fuelectenerg-3144	1402	16	,	,	PUNCT
fuelectenerg-3144	1402	17	as	as	SCONJ
fuelectenerg-3144	1402	18	such	such	DET
fuelectenerg-3144	1402	19	a	a	DET
fuelectenerg-3144	1402	20	machine	machine	NOUN
fuelectenerg-3144	1402	21	would	would	AUX
fuelectenerg-3144	1402	22	be	be	AUX
fuelectenerg-3144	1402	23	far	far	ADV
fuelectenerg-3144	1402	24	too	too	ADV
fuelectenerg-3144	1402	25	large	large	ADJ
fuelectenerg-3144	1402	26	to	to	PART
fuelectenerg-3144	1402	27	be	be	AUX
fuelectenerg-3144	1402	28	of	of	ADP
fuelectenerg-3144	1402	29	practical	practical	ADJ
fuelectenerg-3144	1402	30	interest	interest	NOUN
fuelectenerg-3144	1402	31	.	.	PUNCT
fuelectenerg-3144	1402	32	)	)	PUNCT
fuelectenerg-3144	1403	1	it	it	PRON
fuelectenerg-3144	1403	2	follows	follow	VERB
fuelectenerg-3144	1403	3	that	that	SCONJ
fuelectenerg-3144	1403	4	a	a	DET
fuelectenerg-3144	1403	5	classical	classical	ADJ
fuelectenerg-3144	1403	6	computer	computer	NOUN
fuelectenerg-3144	1403	7	can	can	AUX
fuelectenerg-3144	1403	8	evaluate	evaluate	VERB
fuelectenerg-3144	1403	9	eq	eq	ADP
fuelectenerg-3144	1403	10	.	.	PROPN
fuelectenerg-3144	1403	11	1	1	NUM
fuelectenerg-3144	1403	12	in	in	ADP
fuelectenerg-3144	1403	13	o(ni	o(ni	NUM
fuelectenerg-3144	1403	14	)	)	PUNCT
fuelectenerg-3144	1403	15	time	time	NOUN
fuelectenerg-3144	1403	16	,	,	PUNCT
fuelectenerg-3144	1403	17	since	since	SCONJ
fuelectenerg-3144	1403	18	it	it	PRON
fuelectenerg-3144	1403	19	requires	require	VERB
fuelectenerg-3144	1403	20	iterating	iterate	VERB
fuelectenerg-3144	1403	21	over	over	ADP
fuelectenerg-3144	1403	22	all	all	DET
fuelectenerg-3144	1403	23	input	input	NOUN
fuelectenerg-3144	1403	24	values	value	NOUN
fuelectenerg-3144	1403	25	.	.	PUNCT
fuelectenerg-3144	1404	1	then	then	ADV
fuelectenerg-3144	1404	2	,	,	PUNCT
fuelectenerg-3144	1404	3	determining	determine	VERB
fuelectenerg-3144	1404	4	whether	whether	SCONJ
fuelectenerg-3144	1404	5	q+	q+	PUNCT
fuelectenerg-3144	1404	6	i	i	PRON
fuelectenerg-3144	1404	7	depends	depend	VERB
fuelectenerg-3144	1404	8	on	on	ADP
fuelectenerg-3144	1404	9	qj	qj	PROPN
fuelectenerg-3144	1404	10	,	,	PUNCT
fuelectenerg-3144	1404	11	for	for	ADP
fuelectenerg-3144	1404	12	any	any	DET
fuelectenerg-3144	1404	13	values	value	NOUN
fuelectenerg-3144	1404	14	of	of	ADP
fuelectenerg-3144	1404	15	i	i	PRON
fuelectenerg-3144	1404	16	and	and	CCONJ
fuelectenerg-3144	1404	17	j	j	PROPN
fuelectenerg-3144	1404	18	,	,	PUNCT
fuelectenerg-3144	1404	19	requires	require	VERB
fuelectenerg-3144	1404	20	evaluating	evaluate	VERB
fuelectenerg-3144	1404	21	eq	eq	ADP
fuelectenerg-3144	1404	22	.	.	PROPN
fuelectenerg-3144	1404	23	1	1	NUM
fuelectenerg-3144	1404	24	for	for	ADP
fuelectenerg-3144	1404	25	all	all	DET
fuelectenerg-3144	1404	26	ns(ns	ns(ns	ADJ
fuelectenerg-3144	1404	27	−	−	NUM
fuelectenerg-3144	1404	28	1)/2	1)/2	NUM
fuelectenerg-3144	1404	29	pairs	pair	NOUN
fuelectenerg-3144	1404	30	of	of	ADP
fuelectenerg-3144	1404	31	states	state	NOUN
fuelectenerg-3144	1404	32	and	and	CCONJ
fuelectenerg-3144	1404	33	therefore	therefore	ADV
fuelectenerg-3144	1404	34	takes	take	VERB
fuelectenerg-3144	1404	35	o(ns	o(ns	PROPN
fuelectenerg-3144	1404	36	2ni	2ni	ADJ
fuelectenerg-3144	1404	37	)	)	PUNCT
fuelectenerg-3144	1404	38	time	time	NOUN
fuelectenerg-3144	1404	39	.	.	PUNCT
fuelectenerg-3144	1405	1	similarly	similarly	ADV
fuelectenerg-3144	1405	2	,	,	PUNCT
fuelectenerg-3144	1405	3	a	a	DET
fuelectenerg-3144	1405	4	single	single	ADJ
fuelectenerg-3144	1405	5	evaluation	evaluation	NOUN
fuelectenerg-3144	1405	6	of	of	ADP
fuelectenerg-3144	1405	7	eq	eq	PROPN
fuelectenerg-3144	1405	8	.	.	PROPN
fuelectenerg-3144	1405	9	2	2	NUM
fuelectenerg-3144	1405	10	requires	require	VERB
fuelectenerg-3144	1405	11	o(ns	o(ns	ADJ
fuelectenerg-3144	1405	12	)	)	PUNCT
fuelectenerg-3144	1405	13	time	time	NOUN
fuelectenerg-3144	1405	14	and	and	CCONJ
fuelectenerg-3144	1405	15	determining	determine	VERB
fuelectenerg-3144	1405	16	whether	whether	SCONJ
fuelectenerg-3144	1405	17	q+	q+	PUNCT
fuelectenerg-3144	1405	18	i	i	PRON
fuelectenerg-3144	1405	19	depends	depend	VERB
fuelectenerg-3144	1405	20	on	on	ADP
fuelectenerg-3144	1405	21	xk	xk	PROPN
fuelectenerg-3144	1405	22	,	,	PUNCT
fuelectenerg-3144	1405	23	for	for	ADP
fuelectenerg-3144	1405	24	any	any	DET
fuelectenerg-3144	1405	25	values	value	NOUN
fuelectenerg-3144	1405	26	of	of	ADP
fuelectenerg-3144	1405	27	i	i	PRON
fuelectenerg-3144	1405	28	and	and	CCONJ
fuelectenerg-3144	1405	29	k	k	PROPN
fuelectenerg-3144	1405	30	,	,	PUNCT
fuelectenerg-3144	1405	31	requires	require	VERB
fuelectenerg-3144	1405	32	o(nsni	o(nsni	NOUN
fuelectenerg-3144	1405	33	2	2	NUM
fuelectenerg-3144	1405	34	)	)	PUNCT
fuelectenerg-3144	1405	35	time	time	NOUN
fuelectenerg-3144	1405	36	.	.	PUNCT
fuelectenerg-3144	1406	1	calculating	calculate	VERB
fuelectenerg-3144	1406	2	the	the	DET
fuelectenerg-3144	1406	3	total	total	ADJ
fuelectenerg-3144	1406	4	cost	cost	NOUN
fuelectenerg-3144	1406	5	of	of	ADP
fuelectenerg-3144	1406	6	an	an	DET
fuelectenerg-3144	1406	7	encoding	encoding	NOUN
fuelectenerg-3144	1406	8	involves	involve	NOUN
fuelectenerg-3144	1406	9	checking	check	VERB
fuelectenerg-3144	1406	10	the	the	DET
fuelectenerg-3144	1406	11	dependency	dependency	NOUN
fuelectenerg-3144	1406	12	of	of	ADP
fuelectenerg-3144	1406	13	q+	q+	PUNCT
fuelectenerg-3144	1406	14	i	i	PRON
fuelectenerg-3144	1406	15	on	on	ADP
fuelectenerg-3144	1406	16	qj	qj	PROPN
fuelectenerg-3144	1406	17	for	for	ADP
fuelectenerg-3144	1406	18	all	all	DET
fuelectenerg-3144	1406	19	combinations	combination	NOUN
fuelectenerg-3144	1406	20	of	of	ADP
fuelectenerg-3144	1406	21	i	i	PRON
fuelectenerg-3144	1406	22	and	and	CCONJ
fuelectenerg-3144	1406	23	j	j	PROPN
fuelectenerg-3144	1406	24	,	,	PUNCT
fuelectenerg-3144	1406	25	of	of	ADP
fuelectenerg-3144	1406	26	which	which	PRON
fuelectenerg-3144	1406	27	there	there	PRON
fuelectenerg-3144	1406	28	are	be	VERB
fuelectenerg-3144	1406	29	(	(	PUNCT
fuelectenerg-3144	1406	30	log2	log2	PROPN
fuelectenerg-3144	1406	31	ns	n	VERB
fuelectenerg-3144	1406	32	)	)	PUNCT
fuelectenerg-3144	1406	33	2	2	NUM
fuelectenerg-3144	1406	34	,	,	PUNCT
fuelectenerg-3144	1406	35	and	and	CCONJ
fuelectenerg-3144	1406	36	the	the	DET
fuelectenerg-3144	1406	37	dependency	dependency	NOUN
fuelectenerg-3144	1406	38	of	of	ADP
fuelectenerg-3144	1406	39	q+	q+	PUNCT
fuelectenerg-3144	1406	40	i	i	PRON
fuelectenerg-3144	1406	41	on	on	ADP
fuelectenerg-3144	1406	42	xk	xk	PROPN
fuelectenerg-3144	1406	43	for	for	ADP
fuelectenerg-3144	1406	44	all	all	DET
fuelectenerg-3144	1406	45	combinations	combination	NOUN
fuelectenerg-3144	1406	46	of	of	ADP
fuelectenerg-3144	1406	47	i	i	PRON
fuelectenerg-3144	1406	48	and	and	CCONJ
fuelectenerg-3144	1406	49	k	k	NOUN
fuelectenerg-3144	1406	50	,	,	PUNCT
fuelectenerg-3144	1406	51	of	of	ADP
fuelectenerg-3144	1406	52	which	which	PRON
fuelectenerg-3144	1406	53	there	there	PRON
fuelectenerg-3144	1406	54	are	be	VERB
fuelectenerg-3144	1406	55	(	(	PUNCT
fuelectenerg-3144	1406	56	log2	log2	PROPN
fuelectenerg-3144	1406	57	ns)(log2	ns)(log2	PROPN
fuelectenerg-3144	1406	58	ni	ni	PROPN
fuelectenerg-3144	1406	59	)	)	PUNCT
fuelectenerg-3144	1406	60	.	.	PUNCT
fuelectenerg-3144	1407	1	therefore	therefore	ADV
fuelectenerg-3144	1407	2	,	,	PUNCT
fuelectenerg-3144	1407	3	the	the	DET
fuelectenerg-3144	1407	4	complete	complete	ADJ
fuelectenerg-3144	1407	5	calculation	calculation	NOUN
fuelectenerg-3144	1407	6	of	of	ADP
fuelectenerg-3144	1407	7	the	the	DET
fuelectenerg-3144	1407	8	cost	cost	NOUN
fuelectenerg-3144	1407	9	of	of	ADP
fuelectenerg-3144	1407	10	an	an	DET
fuelectenerg-3144	1407	11	encoding	encoding	NOUN
fuelectenerg-3144	1407	12	on	on	ADP
fuelectenerg-3144	1407	13	a	a	DET
fuelectenerg-3144	1407	14	classical	classical	ADJ
fuelectenerg-3144	1407	15	computer	computer	NOUN
fuelectenerg-3144	1407	16	requires	require	VERB
fuelectenerg-3144	1407	17	o(ns	o(ns	ADJ
fuelectenerg-3144	1407	18	2ni(logns	2ni(logns	NUM
fuelectenerg-3144	1407	19	)	)	PUNCT
fuelectenerg-3144	1407	20	2	2	NUM
fuelectenerg-3144	1408	1	+	+	NOUN
fuelectenerg-3144	1408	2	nsni	nsni	NOUN
fuelectenerg-3144	1408	3	2(logns)(logni	2(logns)(logni	NUM
fuelectenerg-3144	1408	4	)	)	PUNCT
fuelectenerg-3144	1408	5	)	)	PUNCT
fuelectenerg-3144	1408	6	time	time	NOUN
fuelectenerg-3144	1408	7	.	.	PUNCT
fuelectenerg-3144	1409	1	the	the	DET
fuelectenerg-3144	1409	2	number	number	NOUN
fuelectenerg-3144	1409	3	of	of	ADP
fuelectenerg-3144	1409	4	possible	possible	ADJ
fuelectenerg-3144	1409	5	encodings	encoding	NOUN
fuelectenerg-3144	1409	6	is	be	AUX
fuelectenerg-3144	1409	7	ns!ni	ns!ni	ADJ
fuelectenerg-3144	1409	8	!	!	PUNCT
fuelectenerg-3144	1409	9	,	,	PUNCT
fuelectenerg-3144	1409	10	so	so	ADV
fuelectenerg-3144	1409	11	a	a	DET
fuelectenerg-3144	1409	12	full	full	ADJ
fuelectenerg-3144	1409	13	exhaustive	exhaustive	ADJ
fuelectenerg-3144	1409	14	search	search	NOUN
fuelectenerg-3144	1409	15	on	on	ADP
fuelectenerg-3144	1409	16	a	a	DET
fuelectenerg-3144	1409	17	classical	classical	ADJ
fuelectenerg-3144	1409	18	computer	computer	NOUN
fuelectenerg-3144	1409	19	has	have	VERB
fuelectenerg-3144	1409	20	a	a	DET
fuelectenerg-3144	1409	21	total	total	ADJ
fuelectenerg-3144	1409	22	time	time	NOUN
fuelectenerg-3144	1409	23	complexity	complexity	NOUN
fuelectenerg-3144	1409	24	of	of	ADP
fuelectenerg-3144	1409	25	o(ns!ni!(ns	o(ns!ni!(ns	ADJ
fuelectenerg-3144	1409	26	2ni(logns	2ni(logns	NOUN
fuelectenerg-3144	1409	27	)	)	PUNCT
fuelectenerg-3144	1409	28	2	2	NUM
fuelectenerg-3144	1410	1	+	+	NOUN
fuelectenerg-3144	1410	2	nsni	nsni	NOUN
fuelectenerg-3144	1410	3	2(logns)(logni	2(logns)(logni	NUM
fuelectenerg-3144	1410	4	)	)	PUNCT
fuelectenerg-3144	1410	5	)	)	PUNCT
fuelectenerg-3144	1410	6	)	)	PUNCT
fuelectenerg-3144	1410	7	.	.	PUNCT
fuelectenerg-3144	1411	1	(	(	PUNCT
fuelectenerg-3144	1411	2	10	10	NUM
fuelectenerg-3144	1411	3	)	)	PUNCT
fuelectenerg-3144	1411	4	just	just	ADV
fuelectenerg-3144	1411	5	as	as	ADP
fuelectenerg-3144	1411	6	for	for	ADP
fuelectenerg-3144	1411	7	the	the	DET
fuelectenerg-3144	1411	8	quantum	quantum	ADJ
fuelectenerg-3144	1411	9	algorithm	algorithm	NOUN
fuelectenerg-3144	1411	10	,	,	PUNCT
fuelectenerg-3144	1411	11	we	we	PRON
fuelectenerg-3144	1411	12	can	can	AUX
fuelectenerg-3144	1411	13	simplify	simplify	VERB
fuelectenerg-3144	1411	14	this	this	DET
fuelectenerg-3144	1411	15	expression	expression	NOUN
fuelectenerg-3144	1411	16	if	if	SCONJ
fuelectenerg-3144	1411	17	we	we	PRON
fuelectenerg-3144	1411	18	assume	assume	VERB
fuelectenerg-3144	1411	19	that	that	SCONJ
fuelectenerg-3144	1411	20	ns	ns	PROPN
fuelectenerg-3144	1411	21	=	=	SYM
fuelectenerg-3144	1411	22	ni	ni	PROPN
fuelectenerg-3144	1411	23	;	;	PUNCT
fuelectenerg-3144	1411	24	in	in	ADP
fuelectenerg-3144	1411	25	this	this	DET
fuelectenerg-3144	1411	26	case	case	NOUN
fuelectenerg-3144	1411	27	,	,	PUNCT
fuelectenerg-3144	1411	28	eq	eq	NOUN
fuelectenerg-3144	1411	29	.	.	PROPN
fuelectenerg-3144	1411	30	10	10	NUM
fuelectenerg-3144	1411	31	reduces	reduce	VERB
fuelectenerg-3144	1411	32	to	to	ADP
fuelectenerg-3144	1411	33	o(ns!ns!(ns	o(ns!ns!(ns	ADP
fuelectenerg-3144	1411	34	3(logns	3(logns	NUM
fuelectenerg-3144	1411	35	)	)	PUNCT
fuelectenerg-3144	1411	36	2	2	NUM
fuelectenerg-3144	1412	1	+	+	NUM
fuelectenerg-3144	1412	2	ns	ns	ADJ
fuelectenerg-3144	1412	3	3(logns)(logns	3(logns)(logns	NUM
fuelectenerg-3144	1412	4	)	)	PUNCT
fuelectenerg-3144	1412	5	)	)	PUNCT
fuelectenerg-3144	1412	6	)	)	PUNCT
fuelectenerg-3144	1413	1	=	=	PUNCT
fuelectenerg-3144	1413	2	o(ns	o(ns	ADJ
fuelectenerg-3144	1413	3	!	!	PUNCT
fuelectenerg-3144	1414	1	2ns	2ns	NOUN
fuelectenerg-3144	1414	2	3(logns	3(logns	NUM
fuelectenerg-3144	1414	3	)	)	PUNCT
fuelectenerg-3144	1414	4	2	2	NUM
fuelectenerg-3144	1414	5	)	)	PUNCT
fuelectenerg-3144	1414	6	.	.	PUNCT
fuelectenerg-3144	1415	1	(	(	PUNCT
fuelectenerg-3144	1415	2	11	11	NUM
fuelectenerg-3144	1415	3	)	)	PUNCT
fuelectenerg-3144	1415	4	comparing	compare	VERB
fuelectenerg-3144	1415	5	eqs	eqs	PROPN
fuelectenerg-3144	1415	6	.	.	PROPN
fuelectenerg-3144	1415	7	9	9	NUM
fuelectenerg-3144	1415	8	and	and	CCONJ
fuelectenerg-3144	1415	9	11	11	NUM
fuelectenerg-3144	1415	10	,	,	PUNCT
fuelectenerg-3144	1415	11	we	we	PRON
fuelectenerg-3144	1415	12	see	see	VERB
fuelectenerg-3144	1415	13	that	that	SCONJ
fuelectenerg-3144	1415	14	the	the	DET
fuelectenerg-3144	1415	15	factor	factor	NOUN
fuelectenerg-3144	1415	16	of	of	ADP
fuelectenerg-3144	1415	17	ns	ns	NUM
fuelectenerg-3144	1415	18	3	3	NUM
fuelectenerg-3144	1415	19	logns	logn	NOUN
fuelectenerg-3144	1415	20	is	be	AUX
fuelectenerg-3144	1415	21	common	common	ADJ
fuelectenerg-3144	1415	22	to	to	ADP
fuelectenerg-3144	1415	23	both	both	PRON
fuelectenerg-3144	1415	24	.	.	PUNCT
fuelectenerg-3144	1416	1	we	we	PRON
fuelectenerg-3144	1416	2	may	may	AUX
fuelectenerg-3144	1416	3	therefore	therefore	ADV
fuelectenerg-3144	1416	4	compare	compare	VERB
fuelectenerg-3144	1416	5	the	the	DET
fuelectenerg-3144	1416	6	relative	relative	ADJ
fuelectenerg-3144	1416	7	complexities	complexity	NOUN
fuelectenerg-3144	1416	8	of	of	ADP
fuelectenerg-3144	1416	9	the	the	DET
fuelectenerg-3144	1416	10	quantum	quantum	ADJ
fuelectenerg-3144	1416	11	and	and	CCONJ
fuelectenerg-3144	1416	12	classical	classical	ADJ
fuelectenerg-3144	1416	13	algorithms	algorithm	NOUN
fuelectenerg-3144	1416	14	,	,	PUNCT
fuelectenerg-3144	1416	15	if	if	SCONJ
fuelectenerg-3144	1416	16	ns	ns	NUM
fuelectenerg-3144	1416	17	=	=	SYM
fuelectenerg-3144	1416	18	ni	ni	PROPN
fuelectenerg-3144	1416	19	,	,	PUNCT
fuelectenerg-3144	1416	20	by	by	ADP
fuelectenerg-3144	1416	21	looking	look	VERB
fuelectenerg-3144	1416	22	only	only	ADV
fuelectenerg-3144	1416	23	at	at	ADP
fuelectenerg-3144	1416	24	the	the	DET
fuelectenerg-3144	1416	25	terms	term	NOUN
fuelectenerg-3144	1416	26	ns	ns	NUM
fuelectenerg-3144	1416	27	ns	ns	INTJ
fuelectenerg-3144	1416	28	(	(	PUNCT
fuelectenerg-3144	1416	29	for	for	ADP
fuelectenerg-3144	1416	30	the	the	DET
fuelectenerg-3144	1416	31	quantum	quantum	ADJ
fuelectenerg-3144	1416	32	algorithm	algorithm	NOUN
fuelectenerg-3144	1416	33	)	)	PUNCT
fuelectenerg-3144	1416	34	and	and	CCONJ
fuelectenerg-3144	1416	35	ns	ns	X
fuelectenerg-3144	1416	36	!	!	NOUN
fuelectenerg-3144	1416	37	2	2	NUM
fuelectenerg-3144	1416	38	(	(	PUNCT
fuelectenerg-3144	1416	39	for	for	ADP
fuelectenerg-3144	1416	40	the	the	DET
fuelectenerg-3144	1416	41	classical	classical	ADJ
fuelectenerg-3144	1416	42	algorithm	algorithm	NOUN
fuelectenerg-3144	1416	43	)	)	PUNCT
fuelectenerg-3144	1416	44	.	.	PUNCT
fuelectenerg-3144	1417	1	table	table	NOUN
fuelectenerg-3144	1417	2	1	1	NUM
fuelectenerg-3144	1417	3	shows	show	VERB
fuelectenerg-3144	1417	4	the	the	DET
fuelectenerg-3144	1417	5	results	result	NOUN
fuelectenerg-3144	1417	6	for	for	ADP
fuelectenerg-3144	1417	7	a	a	DET
fuelectenerg-3144	1417	8	few	few	ADJ
fuelectenerg-3144	1417	9	values	value	NOUN
fuelectenerg-3144	1417	10	of	of	ADP
fuelectenerg-3144	1417	11	ns	ns	NOUN
fuelectenerg-3144	1417	12	.	.	PUNCT
fuelectenerg-3144	1418	1	we	we	PRON
fuelectenerg-3144	1418	2	immediately	immediately	ADV
fuelectenerg-3144	1418	3	see	see	VERB
fuelectenerg-3144	1418	4	that	that	SCONJ
fuelectenerg-3144	1418	5	the	the	DET
fuelectenerg-3144	1418	6	quantum	quantum	ADJ
fuelectenerg-3144	1418	7	algorithm	algorithm	NOUN
fuelectenerg-3144	1418	8	appears	appear	VERB
fuelectenerg-3144	1418	9	to	to	PART
fuelectenerg-3144	1418	10	be	be	AUX
fuelectenerg-3144	1418	11	significantly	significantly	ADV
fuelectenerg-3144	1418	12	faster	fast	ADJ
fuelectenerg-3144	1418	13	than	than	SCONJ
fuelectenerg-3144	1418	14	the	the	DET
fuelectenerg-3144	1418	15	42	42	NUM
fuelectenerg-3144	1418	16	210	210	NUM
fuelectenerg-3144	1418	17	e.	e.	PROPN
fuelectenerg-3144	1418	18	tsai	tsai	PROPN
fuelectenerg-3144	1418	19	,	,	PUNCT
fuelectenerg-3144	1418	20	m.	m.	PROPN
fuelectenerg-3144	1418	21	perkowski	perkowski	PROPN
fuelectenerg-3144	1418	22	a	a	DET
fuelectenerg-3144	1418	23	quantum	quantum	ADJ
fuelectenerg-3144	1418	24	algorithm	algorithm	NOUN
fuelectenerg-3144	1418	25	for	for	ADP
fuelectenerg-3144	1418	26	automata	automata	NOUN
fuelectenerg-3144	1418	27	encoding	encode	VERB
fuelectenerg-3144	1418	28	211	211	NUM
fuelectenerg-3144	1418	29	eq	eq	NOUN
fuelectenerg-3144	1418	30	.	.	PROPN
fuelectenerg-3144	1418	31	8	8	NUM
fuelectenerg-3144	1418	32	simplifies	simplifie	NOUN
fuelectenerg-3144	1418	33	to	to	ADP
fuelectenerg-3144	1418	34	the	the	PRON
fuelectenerg-3144	1418	35	much	much	ADV
fuelectenerg-3144	1418	36	more	more	ADV
fuelectenerg-3144	1418	37	manageable	manageable	ADJ
fuelectenerg-3144	1418	38	o	o	NOUN
fuelectenerg-3144	1418	39	(	(	PUNCT
fuelectenerg-3144	1418	40	√	√	NUM
fuelectenerg-3144	1418	41	ns	ns	NUM
fuelectenerg-3144	1418	42	nsni	nsni	NOUN
fuelectenerg-3144	1418	43	ni(ns	ni(ns	PROPN
fuelectenerg-3144	1418	44	3(logns	3(logns	NUM
fuelectenerg-3144	1418	45	)	)	PUNCT
fuelectenerg-3144	1418	46	2	2	NUM
fuelectenerg-3144	1418	47	+	+	NOUN
fuelectenerg-3144	1418	48	ni	ni	NOUN
fuelectenerg-3144	1418	49	2(ns	2(ns	NOUN
fuelectenerg-3144	1418	50	+	+	CCONJ
fuelectenerg-3144	1418	51	logni)(logns	logni)(logns	ADJ
fuelectenerg-3144	1418	52	logni	logni	NOUN
fuelectenerg-3144	1418	53	)	)	PUNCT
fuelectenerg-3144	1418	54	)	)	PUNCT
fuelectenerg-3144	1418	55	)	)	PUNCT
fuelectenerg-3144	1419	1	=	=	SYM
fuelectenerg-3144	1420	1	o(ns	o(ns	PROPN
fuelectenerg-3144	1420	2	ns(ns	ns(ns	ADJ
fuelectenerg-3144	1420	3	3(logns	3(logns	NUM
fuelectenerg-3144	1420	4	)	)	PUNCT
fuelectenerg-3144	1420	5	2	2	NUM
fuelectenerg-3144	1421	1	+	+	NUM
fuelectenerg-3144	1421	2	ns	ns	NUM
fuelectenerg-3144	1421	3	2(ns	2(ns	NOUN
fuelectenerg-3144	1421	4	+	+	CCONJ
fuelectenerg-3144	1421	5	logns)(logns	logns)(logns	ADJ
fuelectenerg-3144	1421	6	logns	logn	NOUN
fuelectenerg-3144	1421	7	)	)	PUNCT
fuelectenerg-3144	1421	8	)	)	PUNCT
fuelectenerg-3144	1421	9	)	)	PUNCT
fuelectenerg-3144	1422	1	=	=	SYM
fuelectenerg-3144	1422	2	o(ns	o(ns	PROPN
fuelectenerg-3144	1422	3	ns(ns	ns(ns	ADJ
fuelectenerg-3144	1422	4	3(logns	3(logns	NUM
fuelectenerg-3144	1422	5	)	)	PUNCT
fuelectenerg-3144	1422	6	2	2	NUM
fuelectenerg-3144	1422	7	)	)	PUNCT
fuelectenerg-3144	1422	8	)	)	PUNCT
fuelectenerg-3144	1423	1	=	=	SYM
fuelectenerg-3144	1423	2	o(ns	o(ns	NOUN
fuelectenerg-3144	1423	3	ns+3(logns	ns+3(logn	NOUN
fuelectenerg-3144	1423	4	)	)	PUNCT
fuelectenerg-3144	1423	5	2	2	NUM
fuelectenerg-3144	1423	6	)	)	PUNCT
fuelectenerg-3144	1423	7	.	.	PUNCT
fuelectenerg-3144	1424	1	(	(	PUNCT
fuelectenerg-3144	1424	2	9	9	X
fuelectenerg-3144	1424	3	)	)	PUNCT
fuelectenerg-3144	1424	4	6.2	6.2	NUM
fuelectenerg-3144	1424	5	comparison	comparison	NOUN
fuelectenerg-3144	1424	6	with	with	ADP
fuelectenerg-3144	1424	7	a	a	DET
fuelectenerg-3144	1424	8	classical	classical	ADJ
fuelectenerg-3144	1424	9	algorithm	algorithm	NOUN
fuelectenerg-3144	1424	10	a	a	DET
fuelectenerg-3144	1424	11	comparable	comparable	ADJ
fuelectenerg-3144	1424	12	classical	classical	ADJ
fuelectenerg-3144	1424	13	algorithm	algorithm	NOUN
fuelectenerg-3144	1424	14	to	to	PART
fuelectenerg-3144	1424	15	solve	solve	VERB
fuelectenerg-3144	1424	16	the	the	DET
fuelectenerg-3144	1424	17	fsm	fsm	PROPN
fuelectenerg-3144	1424	18	encoding	encoding	NOUN
fuelectenerg-3144	1424	19	problem	problem	NOUN
fuelectenerg-3144	1424	20	would	would	AUX
fuelectenerg-3144	1424	21	operate	operate	VERB
fuelectenerg-3144	1424	22	in	in	ADP
fuelectenerg-3144	1424	23	much	much	ADV
fuelectenerg-3144	1424	24	the	the	DET
fuelectenerg-3144	1424	25	same	same	ADJ
fuelectenerg-3144	1424	26	way	way	NOUN
fuelectenerg-3144	1424	27	as	as	ADP
fuelectenerg-3144	1424	28	our	our	PRON
fuelectenerg-3144	1424	29	proposed	propose	VERB
fuelectenerg-3144	1424	30	quantum	quantum	NOUN
fuelectenerg-3144	1424	31	algorithm	algorithm	NOUN
fuelectenerg-3144	1424	32	,	,	PUNCT
fuelectenerg-3144	1424	33	with	with	ADP
fuelectenerg-3144	1424	34	the	the	DET
fuelectenerg-3144	1424	35	main	main	ADJ
fuelectenerg-3144	1424	36	difference	difference	NOUN
fuelectenerg-3144	1424	37	being	be	AUX
fuelectenerg-3144	1424	38	that	that	SCONJ
fuelectenerg-3144	1424	39	a	a	DET
fuelectenerg-3144	1424	40	classical	classical	ADJ
fuelectenerg-3144	1424	41	computer	computer	NOUN
fuelectenerg-3144	1424	42	of	of	ADP
fuelectenerg-3144	1424	43	course	course	NOUN
fuelectenerg-3144	1424	44	can	can	AUX
fuelectenerg-3144	1424	45	not	not	PART
fuelectenerg-3144	1424	46	use	use	VERB
fuelectenerg-3144	1424	47	grover	grover	NOUN
fuelectenerg-3144	1424	48	’s	’s	PART
fuelectenerg-3144	1424	49	algorithm	algorithm	NOUN
fuelectenerg-3144	1424	50	and	and	CCONJ
fuelectenerg-3144	1424	51	must	must	AUX
fuelectenerg-3144	1424	52	instead	instead	ADV
fuelectenerg-3144	1424	53	use	use	VERB
fuelectenerg-3144	1424	54	a	a	DET
fuelectenerg-3144	1424	55	straightforward	straightforward	ADJ
fuelectenerg-3144	1424	56	exhaustive	exhaustive	ADJ
fuelectenerg-3144	1424	57	search	search	NOUN
fuelectenerg-3144	1424	58	.	.	PUNCT
fuelectenerg-3144	1425	1	in	in	ADP
fuelectenerg-3144	1425	2	particular	particular	ADJ
fuelectenerg-3144	1425	3	,	,	PUNCT
fuelectenerg-3144	1425	4	a	a	DET
fuelectenerg-3144	1425	5	classical	classical	ADJ
fuelectenerg-3144	1425	6	computer	computer	NOUN
fuelectenerg-3144	1425	7	must	must	AUX
fuelectenerg-3144	1425	8	also	also	ADV
fuelectenerg-3144	1425	9	use	use	VERB
fuelectenerg-3144	1425	10	eqs	eqs	PROPN
fuelectenerg-3144	1425	11	.	.	PROPN
fuelectenerg-3144	1425	12	1	1	NUM
fuelectenerg-3144	1425	13	and	and	CCONJ
fuelectenerg-3144	1425	14	2	2	NUM
fuelectenerg-3144	1425	15	to	to	PART
fuelectenerg-3144	1425	16	calculate	calculate	VERB
fuelectenerg-3144	1425	17	the	the	DET
fuelectenerg-3144	1425	18	cost	cost	NOUN
fuelectenerg-3144	1425	19	of	of	ADP
fuelectenerg-3144	1425	20	a	a	DET
fuelectenerg-3144	1425	21	given	give	VERB
fuelectenerg-3144	1425	22	encoding	encoding	NOUN
fuelectenerg-3144	1425	23	.	.	PUNCT
fuelectenerg-3144	1426	1	most	most	ADJ
fuelectenerg-3144	1426	2	,	,	PUNCT
fuelectenerg-3144	1426	3	if	if	SCONJ
fuelectenerg-3144	1426	4	not	not	PART
fuelectenerg-3144	1426	5	all	all	PRON
fuelectenerg-3144	1426	6	,	,	PUNCT
fuelectenerg-3144	1426	7	modern	modern	ADJ
fuelectenerg-3144	1426	8	digital	digital	ADJ
fuelectenerg-3144	1426	9	computers	computer	NOUN
fuelectenerg-3144	1426	10	are	be	AUX
fuelectenerg-3144	1426	11	capable	capable	ADJ
fuelectenerg-3144	1426	12	of	of	ADP
fuelectenerg-3144	1426	13	performing	perform	VERB
fuelectenerg-3144	1426	14	so	so	ADV
fuelectenerg-3144	1426	15	-	-	PUNCT
fuelectenerg-3144	1426	16	called	call	VERB
fuelectenerg-3144	1426	17	bitwise	bitwise	NOUN
fuelectenerg-3144	1426	18	logical	logical	ADJ
fuelectenerg-3144	1426	19	operations	operation	NOUN
fuelectenerg-3144	1426	20	on	on	ADP
fuelectenerg-3144	1426	21	words	word	NOUN
fuelectenerg-3144	1426	22	of	of	ADP
fuelectenerg-3144	1426	23	significant	significant	ADJ
fuelectenerg-3144	1426	24	length	length	NOUN
fuelectenerg-3144	1426	25	(	(	PUNCT
fuelectenerg-3144	1426	26	at	at	ADP
fuelectenerg-3144	1426	27	least	least	ADV
fuelectenerg-3144	1426	28	32	32	NUM
fuelectenerg-3144	1426	29	or	or	CCONJ
fuelectenerg-3144	1426	30	64	64	NUM
fuelectenerg-3144	1426	31	bits	bit	NOUN
fuelectenerg-3144	1426	32	)	)	PUNCT
fuelectenerg-3144	1426	33	,	,	PUNCT
fuelectenerg-3144	1426	34	which	which	PRON
fuelectenerg-3144	1426	35	allows	allow	VERB
fuelectenerg-3144	1426	36	them	they	PRON
fuelectenerg-3144	1426	37	to	to	PART
fuelectenerg-3144	1426	38	evaluate	evaluate	VERB
fuelectenerg-3144	1426	39	dj(s	dj(	NOUN
fuelectenerg-3144	1426	40	,	,	PUNCT
fuelectenerg-3144	1426	41	s	s	NOUN
fuelectenerg-3144	1426	42	′	′	NOUN
fuelectenerg-3144	1426	43	)	)	PUNCT
fuelectenerg-3144	1426	44	and	and	CCONJ
fuelectenerg-3144	1426	45	ai(s	ai(s	NUM
fuelectenerg-3144	1426	46	,	,	PUNCT
fuelectenerg-3144	1426	47	s	s	NOUN
fuelectenerg-3144	1426	48	′	′	NOUN
fuelectenerg-3144	1426	49	)	)	PUNCT
fuelectenerg-3144	1426	50	for	for	ADP
fuelectenerg-3144	1426	51	any	any	DET
fuelectenerg-3144	1426	52	pair	pair	NOUN
fuelectenerg-3144	1426	53	of	of	ADP
fuelectenerg-3144	1426	54	states	state	NOUN
fuelectenerg-3144	1426	55	or	or	CCONJ
fuelectenerg-3144	1426	56	dj(i	dj(i	NOUN
fuelectenerg-3144	1426	57	,	,	PUNCT
fuelectenerg-3144	1426	58	i	i	PRON
fuelectenerg-3144	1426	59	′	′	VERB
fuelectenerg-3144	1426	60	)	)	PUNCT
fuelectenerg-3144	1426	61	for	for	ADP
fuelectenerg-3144	1426	62	any	any	DET
fuelectenerg-3144	1426	63	pair	pair	NOUN
fuelectenerg-3144	1426	64	of	of	ADP
fuelectenerg-3144	1426	65	inputs	input	NOUN
fuelectenerg-3144	1426	66	in	in	ADP
fuelectenerg-3144	1426	67	o(1	o(1	NOUN
fuelectenerg-3144	1426	68	)	)	PUNCT
fuelectenerg-3144	1426	69	time	time	NOUN
fuelectenerg-3144	1426	70	.	.	PUNCT
fuelectenerg-3144	1427	1	(	(	PUNCT
fuelectenerg-3144	1427	2	we	we	PRON
fuelectenerg-3144	1427	3	need	need	AUX
fuelectenerg-3144	1427	4	not	not	PART
fuelectenerg-3144	1427	5	consider	consider	VERB
fuelectenerg-3144	1427	6	state	state	NOUN
fuelectenerg-3144	1427	7	machines	machine	NOUN
fuelectenerg-3144	1427	8	with	with	ADP
fuelectenerg-3144	1427	9	more	more	ADJ
fuelectenerg-3144	1427	10	than	than	ADP
fuelectenerg-3144	1427	11	232	232	NUM
fuelectenerg-3144	1427	12	states	state	NOUN
fuelectenerg-3144	1427	13	or	or	CCONJ
fuelectenerg-3144	1427	14	input	input	NOUN
fuelectenerg-3144	1427	15	values	value	NOUN
fuelectenerg-3144	1427	16	,	,	PUNCT
fuelectenerg-3144	1427	17	as	as	SCONJ
fuelectenerg-3144	1427	18	such	such	DET
fuelectenerg-3144	1427	19	a	a	DET
fuelectenerg-3144	1427	20	machine	machine	NOUN
fuelectenerg-3144	1427	21	would	would	AUX
fuelectenerg-3144	1427	22	be	be	AUX
fuelectenerg-3144	1427	23	far	far	ADV
fuelectenerg-3144	1427	24	too	too	ADV
fuelectenerg-3144	1427	25	large	large	ADJ
fuelectenerg-3144	1427	26	to	to	PART
fuelectenerg-3144	1427	27	be	be	AUX
fuelectenerg-3144	1427	28	of	of	ADP
fuelectenerg-3144	1427	29	practical	practical	ADJ
fuelectenerg-3144	1427	30	interest	interest	NOUN
fuelectenerg-3144	1427	31	.	.	PUNCT
fuelectenerg-3144	1427	32	)	)	PUNCT
fuelectenerg-3144	1428	1	it	it	PRON
fuelectenerg-3144	1428	2	follows	follow	VERB
fuelectenerg-3144	1428	3	that	that	SCONJ
fuelectenerg-3144	1428	4	a	a	DET
fuelectenerg-3144	1428	5	classical	classical	ADJ
fuelectenerg-3144	1428	6	computer	computer	NOUN
fuelectenerg-3144	1428	7	can	can	AUX
fuelectenerg-3144	1428	8	evaluate	evaluate	VERB
fuelectenerg-3144	1428	9	eq	eq	ADP
fuelectenerg-3144	1428	10	.	.	PROPN
fuelectenerg-3144	1428	11	1	1	NUM
fuelectenerg-3144	1428	12	in	in	ADP
fuelectenerg-3144	1428	13	o(ni	o(ni	NUM
fuelectenerg-3144	1428	14	)	)	PUNCT
fuelectenerg-3144	1428	15	time	time	NOUN
fuelectenerg-3144	1428	16	,	,	PUNCT
fuelectenerg-3144	1428	17	since	since	SCONJ
fuelectenerg-3144	1428	18	it	it	PRON
fuelectenerg-3144	1428	19	requires	require	VERB
fuelectenerg-3144	1428	20	iterating	iterate	VERB
fuelectenerg-3144	1428	21	over	over	ADP
fuelectenerg-3144	1428	22	all	all	DET
fuelectenerg-3144	1428	23	input	input	NOUN
fuelectenerg-3144	1428	24	values	value	NOUN
fuelectenerg-3144	1428	25	.	.	PUNCT
fuelectenerg-3144	1429	1	then	then	ADV
fuelectenerg-3144	1429	2	,	,	PUNCT
fuelectenerg-3144	1429	3	determining	determine	VERB
fuelectenerg-3144	1429	4	whether	whether	SCONJ
fuelectenerg-3144	1429	5	q+	q+	PUNCT
fuelectenerg-3144	1429	6	i	i	PRON
fuelectenerg-3144	1429	7	depends	depend	VERB
fuelectenerg-3144	1429	8	on	on	ADP
fuelectenerg-3144	1429	9	qj	qj	PROPN
fuelectenerg-3144	1429	10	,	,	PUNCT
fuelectenerg-3144	1429	11	for	for	ADP
fuelectenerg-3144	1429	12	any	any	DET
fuelectenerg-3144	1429	13	values	value	NOUN
fuelectenerg-3144	1429	14	of	of	ADP
fuelectenerg-3144	1429	15	i	i	PRON
fuelectenerg-3144	1429	16	and	and	CCONJ
fuelectenerg-3144	1429	17	j	j	PROPN
fuelectenerg-3144	1429	18	,	,	PUNCT
fuelectenerg-3144	1429	19	requires	require	VERB
fuelectenerg-3144	1429	20	evaluating	evaluate	VERB
fuelectenerg-3144	1429	21	eq	eq	ADP
fuelectenerg-3144	1429	22	.	.	PROPN
fuelectenerg-3144	1429	23	1	1	NUM
fuelectenerg-3144	1429	24	for	for	ADP
fuelectenerg-3144	1429	25	all	all	DET
fuelectenerg-3144	1429	26	ns(ns	ns(ns	ADJ
fuelectenerg-3144	1429	27	−	−	NUM
fuelectenerg-3144	1429	28	1)/2	1)/2	NUM
fuelectenerg-3144	1429	29	pairs	pair	NOUN
fuelectenerg-3144	1429	30	of	of	ADP
fuelectenerg-3144	1429	31	states	state	NOUN
fuelectenerg-3144	1429	32	and	and	CCONJ
fuelectenerg-3144	1429	33	therefore	therefore	ADV
fuelectenerg-3144	1429	34	takes	take	VERB
fuelectenerg-3144	1429	35	o(ns	o(ns	PROPN
fuelectenerg-3144	1429	36	2ni	2ni	ADJ
fuelectenerg-3144	1429	37	)	)	PUNCT
fuelectenerg-3144	1429	38	time	time	NOUN
fuelectenerg-3144	1429	39	.	.	PUNCT
fuelectenerg-3144	1430	1	similarly	similarly	ADV
fuelectenerg-3144	1430	2	,	,	PUNCT
fuelectenerg-3144	1430	3	a	a	DET
fuelectenerg-3144	1430	4	single	single	ADJ
fuelectenerg-3144	1430	5	evaluation	evaluation	NOUN
fuelectenerg-3144	1430	6	of	of	ADP
fuelectenerg-3144	1430	7	eq	eq	PROPN
fuelectenerg-3144	1430	8	.	.	PROPN
fuelectenerg-3144	1430	9	2	2	NUM
fuelectenerg-3144	1430	10	requires	require	VERB
fuelectenerg-3144	1430	11	o(ns	o(ns	ADJ
fuelectenerg-3144	1430	12	)	)	PUNCT
fuelectenerg-3144	1430	13	time	time	NOUN
fuelectenerg-3144	1430	14	and	and	CCONJ
fuelectenerg-3144	1430	15	determining	determine	VERB
fuelectenerg-3144	1430	16	whether	whether	SCONJ
fuelectenerg-3144	1430	17	q+	q+	PUNCT
fuelectenerg-3144	1430	18	i	i	PRON
fuelectenerg-3144	1430	19	depends	depend	VERB
fuelectenerg-3144	1430	20	on	on	ADP
fuelectenerg-3144	1430	21	xk	xk	PROPN
fuelectenerg-3144	1430	22	,	,	PUNCT
fuelectenerg-3144	1430	23	for	for	ADP
fuelectenerg-3144	1430	24	any	any	DET
fuelectenerg-3144	1430	25	values	value	NOUN
fuelectenerg-3144	1430	26	of	of	ADP
fuelectenerg-3144	1430	27	i	i	PRON
fuelectenerg-3144	1430	28	and	and	CCONJ
fuelectenerg-3144	1430	29	k	k	PROPN
fuelectenerg-3144	1430	30	,	,	PUNCT
fuelectenerg-3144	1430	31	requires	require	VERB
fuelectenerg-3144	1430	32	o(nsni	o(nsni	NOUN
fuelectenerg-3144	1430	33	2	2	NUM
fuelectenerg-3144	1430	34	)	)	PUNCT
fuelectenerg-3144	1430	35	time	time	NOUN
fuelectenerg-3144	1430	36	.	.	PUNCT
fuelectenerg-3144	1431	1	calculating	calculate	VERB
fuelectenerg-3144	1431	2	the	the	DET
fuelectenerg-3144	1431	3	total	total	ADJ
fuelectenerg-3144	1431	4	cost	cost	NOUN
fuelectenerg-3144	1431	5	of	of	ADP
fuelectenerg-3144	1431	6	an	an	DET
fuelectenerg-3144	1431	7	encoding	encoding	NOUN
fuelectenerg-3144	1431	8	involves	involve	NOUN
fuelectenerg-3144	1431	9	checking	check	VERB
fuelectenerg-3144	1431	10	the	the	DET
fuelectenerg-3144	1431	11	dependency	dependency	NOUN
fuelectenerg-3144	1431	12	of	of	ADP
fuelectenerg-3144	1431	13	q+	q+	PUNCT
fuelectenerg-3144	1431	14	i	i	PRON
fuelectenerg-3144	1431	15	on	on	ADP
fuelectenerg-3144	1431	16	qj	qj	PROPN
fuelectenerg-3144	1431	17	for	for	ADP
fuelectenerg-3144	1431	18	all	all	DET
fuelectenerg-3144	1431	19	combinations	combination	NOUN
fuelectenerg-3144	1431	20	of	of	ADP
fuelectenerg-3144	1431	21	i	i	PRON
fuelectenerg-3144	1431	22	and	and	CCONJ
fuelectenerg-3144	1431	23	j	j	PROPN
fuelectenerg-3144	1431	24	,	,	PUNCT
fuelectenerg-3144	1431	25	of	of	ADP
fuelectenerg-3144	1431	26	which	which	PRON
fuelectenerg-3144	1431	27	there	there	PRON
fuelectenerg-3144	1431	28	are	be	VERB
fuelectenerg-3144	1431	29	(	(	PUNCT
fuelectenerg-3144	1431	30	log2	log2	PROPN
fuelectenerg-3144	1431	31	ns	n	VERB
fuelectenerg-3144	1431	32	)	)	PUNCT
fuelectenerg-3144	1431	33	2	2	NUM
fuelectenerg-3144	1431	34	,	,	PUNCT
fuelectenerg-3144	1431	35	and	and	CCONJ
fuelectenerg-3144	1431	36	the	the	DET
fuelectenerg-3144	1431	37	dependency	dependency	NOUN
fuelectenerg-3144	1431	38	of	of	ADP
fuelectenerg-3144	1431	39	q+	q+	PUNCT
fuelectenerg-3144	1431	40	i	i	PRON
fuelectenerg-3144	1431	41	on	on	ADP
fuelectenerg-3144	1431	42	xk	xk	PROPN
fuelectenerg-3144	1431	43	for	for	ADP
fuelectenerg-3144	1431	44	all	all	DET
fuelectenerg-3144	1431	45	combinations	combination	NOUN
fuelectenerg-3144	1431	46	of	of	ADP
fuelectenerg-3144	1431	47	i	i	PRON
fuelectenerg-3144	1431	48	and	and	CCONJ
fuelectenerg-3144	1431	49	k	k	NOUN
fuelectenerg-3144	1431	50	,	,	PUNCT
fuelectenerg-3144	1431	51	of	of	ADP
fuelectenerg-3144	1431	52	which	which	PRON
fuelectenerg-3144	1431	53	there	there	PRON
fuelectenerg-3144	1431	54	are	be	VERB
fuelectenerg-3144	1431	55	(	(	PUNCT
fuelectenerg-3144	1431	56	log2	log2	PROPN
fuelectenerg-3144	1431	57	ns)(log2	ns)(log2	PROPN
fuelectenerg-3144	1431	58	ni	ni	PROPN
fuelectenerg-3144	1431	59	)	)	PUNCT
fuelectenerg-3144	1431	60	.	.	PUNCT
fuelectenerg-3144	1432	1	therefore	therefore	ADV
fuelectenerg-3144	1432	2	,	,	PUNCT
fuelectenerg-3144	1432	3	the	the	DET
fuelectenerg-3144	1432	4	complete	complete	ADJ
fuelectenerg-3144	1432	5	calculation	calculation	NOUN
fuelectenerg-3144	1432	6	of	of	ADP
fuelectenerg-3144	1432	7	the	the	DET
fuelectenerg-3144	1432	8	cost	cost	NOUN
fuelectenerg-3144	1432	9	of	of	ADP
fuelectenerg-3144	1432	10	an	an	DET
fuelectenerg-3144	1432	11	encoding	encoding	NOUN
fuelectenerg-3144	1432	12	on	on	ADP
fuelectenerg-3144	1432	13	a	a	DET
fuelectenerg-3144	1432	14	classical	classical	ADJ
fuelectenerg-3144	1432	15	computer	computer	NOUN
fuelectenerg-3144	1432	16	requires	require	VERB
fuelectenerg-3144	1432	17	o(ns	o(ns	ADJ
fuelectenerg-3144	1432	18	2ni(logns	2ni(logns	NUM
fuelectenerg-3144	1432	19	)	)	PUNCT
fuelectenerg-3144	1432	20	2	2	NUM
fuelectenerg-3144	1433	1	+	+	NOUN
fuelectenerg-3144	1433	2	nsni	nsni	NOUN
fuelectenerg-3144	1433	3	2(logns)(logni	2(logns)(logni	NUM
fuelectenerg-3144	1433	4	)	)	PUNCT
fuelectenerg-3144	1433	5	)	)	PUNCT
fuelectenerg-3144	1433	6	time	time	NOUN
fuelectenerg-3144	1433	7	.	.	PUNCT
fuelectenerg-3144	1434	1	the	the	DET
fuelectenerg-3144	1434	2	number	number	NOUN
fuelectenerg-3144	1434	3	of	of	ADP
fuelectenerg-3144	1434	4	possible	possible	ADJ
fuelectenerg-3144	1434	5	encodings	encoding	NOUN
fuelectenerg-3144	1434	6	is	be	AUX
fuelectenerg-3144	1434	7	ns!ni	ns!ni	ADJ
fuelectenerg-3144	1434	8	!	!	PUNCT
fuelectenerg-3144	1434	9	,	,	PUNCT
fuelectenerg-3144	1434	10	so	so	ADV
fuelectenerg-3144	1434	11	a	a	DET
fuelectenerg-3144	1434	12	full	full	ADJ
fuelectenerg-3144	1434	13	exhaustive	exhaustive	ADJ
fuelectenerg-3144	1434	14	search	search	NOUN
fuelectenerg-3144	1434	15	on	on	ADP
fuelectenerg-3144	1434	16	a	a	DET
fuelectenerg-3144	1434	17	classical	classical	ADJ
fuelectenerg-3144	1434	18	computer	computer	NOUN
fuelectenerg-3144	1434	19	has	have	VERB
fuelectenerg-3144	1434	20	a	a	DET
fuelectenerg-3144	1434	21	total	total	ADJ
fuelectenerg-3144	1434	22	time	time	NOUN
fuelectenerg-3144	1434	23	complexity	complexity	NOUN
fuelectenerg-3144	1434	24	of	of	ADP
fuelectenerg-3144	1434	25	o(ns!ni!(ns	o(ns!ni!(ns	ADJ
fuelectenerg-3144	1434	26	2ni(logns	2ni(logns	NOUN
fuelectenerg-3144	1434	27	)	)	PUNCT
fuelectenerg-3144	1434	28	2	2	NUM
fuelectenerg-3144	1435	1	+	+	NOUN
fuelectenerg-3144	1435	2	nsni	nsni	NOUN
fuelectenerg-3144	1435	3	2(logns)(logni	2(logns)(logni	NUM
fuelectenerg-3144	1435	4	)	)	PUNCT
fuelectenerg-3144	1435	5	)	)	PUNCT
fuelectenerg-3144	1435	6	)	)	PUNCT
fuelectenerg-3144	1435	7	.	.	PUNCT
fuelectenerg-3144	1436	1	(	(	PUNCT
fuelectenerg-3144	1436	2	10	10	NUM
fuelectenerg-3144	1436	3	)	)	PUNCT
fuelectenerg-3144	1436	4	just	just	ADV
fuelectenerg-3144	1436	5	as	as	ADP
fuelectenerg-3144	1436	6	for	for	ADP
fuelectenerg-3144	1436	7	the	the	DET
fuelectenerg-3144	1436	8	quantum	quantum	ADJ
fuelectenerg-3144	1436	9	algorithm	algorithm	NOUN
fuelectenerg-3144	1436	10	,	,	PUNCT
fuelectenerg-3144	1436	11	we	we	PRON
fuelectenerg-3144	1436	12	can	can	AUX
fuelectenerg-3144	1436	13	simplify	simplify	VERB
fuelectenerg-3144	1436	14	this	this	DET
fuelectenerg-3144	1436	15	expression	expression	NOUN
fuelectenerg-3144	1436	16	if	if	SCONJ
fuelectenerg-3144	1436	17	we	we	PRON
fuelectenerg-3144	1436	18	assume	assume	VERB
fuelectenerg-3144	1436	19	that	that	SCONJ
fuelectenerg-3144	1436	20	ns	ns	PROPN
fuelectenerg-3144	1436	21	=	=	SYM
fuelectenerg-3144	1436	22	ni	ni	PROPN
fuelectenerg-3144	1436	23	;	;	PUNCT
fuelectenerg-3144	1436	24	in	in	ADP
fuelectenerg-3144	1436	25	this	this	DET
fuelectenerg-3144	1436	26	case	case	NOUN
fuelectenerg-3144	1436	27	,	,	PUNCT
fuelectenerg-3144	1436	28	eq	eq	NOUN
fuelectenerg-3144	1436	29	.	.	PROPN
fuelectenerg-3144	1436	30	10	10	NUM
fuelectenerg-3144	1436	31	reduces	reduce	VERB
fuelectenerg-3144	1436	32	to	to	ADP
fuelectenerg-3144	1436	33	o(ns!ns!(ns	o(ns!ns!(ns	ADP
fuelectenerg-3144	1436	34	3(logns	3(logns	NUM
fuelectenerg-3144	1436	35	)	)	PUNCT
fuelectenerg-3144	1436	36	2	2	NUM
fuelectenerg-3144	1437	1	+	+	NUM
fuelectenerg-3144	1437	2	ns	ns	ADJ
fuelectenerg-3144	1437	3	3(logns)(logns	3(logns)(logns	NUM
fuelectenerg-3144	1437	4	)	)	PUNCT
fuelectenerg-3144	1437	5	)	)	PUNCT
fuelectenerg-3144	1437	6	)	)	PUNCT
fuelectenerg-3144	1438	1	=	=	PUNCT
fuelectenerg-3144	1438	2	o(ns	o(ns	ADJ
fuelectenerg-3144	1438	3	!	!	PUNCT
fuelectenerg-3144	1439	1	2ns	2ns	NOUN
fuelectenerg-3144	1439	2	3(logns	3(logns	NUM
fuelectenerg-3144	1439	3	)	)	PUNCT
fuelectenerg-3144	1439	4	2	2	NUM
fuelectenerg-3144	1439	5	)	)	PUNCT
fuelectenerg-3144	1439	6	.	.	PUNCT
fuelectenerg-3144	1440	1	(	(	PUNCT
fuelectenerg-3144	1440	2	11	11	NUM
fuelectenerg-3144	1440	3	)	)	PUNCT
fuelectenerg-3144	1440	4	comparing	compare	VERB
fuelectenerg-3144	1440	5	eqs	eqs	PROPN
fuelectenerg-3144	1440	6	.	.	PROPN
fuelectenerg-3144	1440	7	9	9	NUM
fuelectenerg-3144	1440	8	and	and	CCONJ
fuelectenerg-3144	1440	9	11	11	NUM
fuelectenerg-3144	1440	10	,	,	PUNCT
fuelectenerg-3144	1440	11	we	we	PRON
fuelectenerg-3144	1440	12	see	see	VERB
fuelectenerg-3144	1440	13	that	that	SCONJ
fuelectenerg-3144	1440	14	the	the	DET
fuelectenerg-3144	1440	15	factor	factor	NOUN
fuelectenerg-3144	1440	16	of	of	ADP
fuelectenerg-3144	1440	17	ns	ns	NUM
fuelectenerg-3144	1440	18	3	3	NUM
fuelectenerg-3144	1440	19	logns	logn	NOUN
fuelectenerg-3144	1440	20	is	be	AUX
fuelectenerg-3144	1440	21	common	common	ADJ
fuelectenerg-3144	1440	22	to	to	ADP
fuelectenerg-3144	1440	23	both	both	PRON
fuelectenerg-3144	1440	24	.	.	PUNCT
fuelectenerg-3144	1441	1	we	we	PRON
fuelectenerg-3144	1441	2	may	may	AUX
fuelectenerg-3144	1441	3	therefore	therefore	ADV
fuelectenerg-3144	1441	4	compare	compare	VERB
fuelectenerg-3144	1441	5	the	the	DET
fuelectenerg-3144	1441	6	relative	relative	ADJ
fuelectenerg-3144	1441	7	complexities	complexity	NOUN
fuelectenerg-3144	1441	8	of	of	ADP
fuelectenerg-3144	1441	9	the	the	DET
fuelectenerg-3144	1441	10	quantum	quantum	ADJ
fuelectenerg-3144	1441	11	and	and	CCONJ
fuelectenerg-3144	1441	12	classical	classical	ADJ
fuelectenerg-3144	1441	13	algorithms	algorithm	NOUN
fuelectenerg-3144	1441	14	,	,	PUNCT
fuelectenerg-3144	1441	15	if	if	SCONJ
fuelectenerg-3144	1441	16	ns	ns	NUM
fuelectenerg-3144	1441	17	=	=	SYM
fuelectenerg-3144	1441	18	ni	ni	PROPN
fuelectenerg-3144	1441	19	,	,	PUNCT
fuelectenerg-3144	1441	20	by	by	ADP
fuelectenerg-3144	1441	21	looking	look	VERB
fuelectenerg-3144	1441	22	only	only	ADV
fuelectenerg-3144	1441	23	at	at	ADP
fuelectenerg-3144	1441	24	the	the	DET
fuelectenerg-3144	1441	25	terms	term	NOUN
fuelectenerg-3144	1441	26	ns	ns	NUM
fuelectenerg-3144	1441	27	ns	ns	INTJ
fuelectenerg-3144	1441	28	(	(	PUNCT
fuelectenerg-3144	1441	29	for	for	ADP
fuelectenerg-3144	1441	30	the	the	DET
fuelectenerg-3144	1441	31	quantum	quantum	ADJ
fuelectenerg-3144	1441	32	algorithm	algorithm	NOUN
fuelectenerg-3144	1441	33	)	)	PUNCT
fuelectenerg-3144	1441	34	and	and	CCONJ
fuelectenerg-3144	1441	35	ns	ns	X
fuelectenerg-3144	1441	36	!	!	NOUN
fuelectenerg-3144	1441	37	2	2	NUM
fuelectenerg-3144	1441	38	(	(	PUNCT
fuelectenerg-3144	1441	39	for	for	ADP
fuelectenerg-3144	1441	40	the	the	DET
fuelectenerg-3144	1441	41	classical	classical	ADJ
fuelectenerg-3144	1441	42	algorithm	algorithm	NOUN
fuelectenerg-3144	1441	43	)	)	PUNCT
fuelectenerg-3144	1441	44	.	.	PUNCT
fuelectenerg-3144	1442	1	table	table	NOUN
fuelectenerg-3144	1442	2	1	1	NUM
fuelectenerg-3144	1442	3	shows	show	VERB
fuelectenerg-3144	1442	4	the	the	DET
fuelectenerg-3144	1442	5	results	result	NOUN
fuelectenerg-3144	1442	6	for	for	ADP
fuelectenerg-3144	1442	7	a	a	DET
fuelectenerg-3144	1442	8	few	few	ADJ
fuelectenerg-3144	1442	9	values	value	NOUN
fuelectenerg-3144	1442	10	of	of	ADP
fuelectenerg-3144	1442	11	ns	ns	NOUN
fuelectenerg-3144	1442	12	.	.	PUNCT
fuelectenerg-3144	1443	1	we	we	PRON
fuelectenerg-3144	1443	2	immediately	immediately	ADV
fuelectenerg-3144	1443	3	see	see	VERB
fuelectenerg-3144	1443	4	that	that	SCONJ
fuelectenerg-3144	1443	5	the	the	DET
fuelectenerg-3144	1443	6	quantum	quantum	ADJ
fuelectenerg-3144	1443	7	algorithm	algorithm	NOUN
fuelectenerg-3144	1443	8	appears	appear	VERB
fuelectenerg-3144	1443	9	to	to	PART
fuelectenerg-3144	1443	10	be	be	AUX
fuelectenerg-3144	1443	11	significantly	significantly	ADV
fuelectenerg-3144	1443	12	faster	fast	ADJ
fuelectenerg-3144	1443	13	than	than	ADP
fuelectenerg-3144	1443	14	the	the	DET
fuelectenerg-3144	1443	15	42	42	NUM
fuelectenerg-3144	1443	16	table	table	NOUN
fuelectenerg-3144	1443	17	1	1	NUM
fuelectenerg-3144	1443	18	:	:	PUNCT
fuelectenerg-3144	1443	19	comparison	comparison	NOUN
fuelectenerg-3144	1443	20	of	of	ADP
fuelectenerg-3144	1443	21	relative	relative	ADJ
fuelectenerg-3144	1443	22	complexities	complexity	NOUN
fuelectenerg-3144	1443	23	of	of	ADP
fuelectenerg-3144	1443	24	quantum	quantum	ADJ
fuelectenerg-3144	1443	25	and	and	CCONJ
fuelectenerg-3144	1443	26	classical	classical	ADJ
fuelectenerg-3144	1443	27	algorithms	algorithm	NOUN
fuelectenerg-3144	1443	28	,	,	PUNCT
fuelectenerg-3144	1443	29	assuming	assume	VERB
fuelectenerg-3144	1443	30	ns	ns	PROPN
fuelectenerg-3144	1443	31	=	=	SYM
fuelectenerg-3144	1443	32	ni	ni	PROPN
fuelectenerg-3144	1443	33	.	.	PROPN
fuelectenerg-3144	1443	34	ns	ns	NUM
fuelectenerg-3144	1443	35	ns	ns	NUM
fuelectenerg-3144	1443	36	ns	ns	NUM
fuelectenerg-3144	1443	37	ns	ns	PROPN
fuelectenerg-3144	1443	38	!	!	PROPN
fuelectenerg-3144	1443	39	2	2	NUM
fuelectenerg-3144	1443	40	ns	ns	NOUN
fuelectenerg-3144	1443	41	!	!	NOUN
fuelectenerg-3144	1443	42	2	2	NUM
fuelectenerg-3144	1443	43	ns	ns	NUM
fuelectenerg-3144	1443	44	ns	ns	NUM
fuelectenerg-3144	1443	45	4	4	NUM
fuelectenerg-3144	1443	46	256	256	NUM
fuelectenerg-3144	1443	47	576	576	NUM
fuelectenerg-3144	1443	48	2.25	2.25	NUM
fuelectenerg-3144	1443	49	8	8	NUM
fuelectenerg-3144	1443	50	1.68	1.68	NUM
fuelectenerg-3144	1443	51	·	·	PUNCT
fuelectenerg-3144	1443	52	107	107	NUM
fuelectenerg-3144	1443	53	1.63	1.63	NUM
fuelectenerg-3144	1443	54	·	·	SYM
fuelectenerg-3144	1443	55	109	109	NUM
fuelectenerg-3144	1443	56	96.9	96.9	NUM
fuelectenerg-3144	1443	57	16	16	NUM
fuelectenerg-3144	1443	58	1.84	1.84	NUM
fuelectenerg-3144	1443	59	·	·	SYM
fuelectenerg-3144	1443	60	1019	1019	NUM
fuelectenerg-3144	1443	61	4.38	4.38	NUM
fuelectenerg-3144	1443	62	·	·	SYM
fuelectenerg-3144	1443	63	1026	1026	NUM
fuelectenerg-3144	1443	64	2.37	2.37	NUM
fuelectenerg-3144	1443	65	·	·	PUNCT
fuelectenerg-3144	1443	66	107	107	NUM
fuelectenerg-3144	1443	67	32	32	NUM
fuelectenerg-3144	1443	68	1.46	1.46	NUM
fuelectenerg-3144	1443	69	·	·	PUNCT
fuelectenerg-3144	1443	70	1048	1048	NUM
fuelectenerg-3144	1443	71	6.92	6.92	NUM
fuelectenerg-3144	1443	72	·	·	SYM
fuelectenerg-3144	1443	73	1070	1070	NUM
fuelectenerg-3144	1443	74	4.74	4.74	NUM
fuelectenerg-3144	1443	75	·	·	SYM
fuelectenerg-3144	1443	76	1022	1022	NUM
fuelectenerg-3144	1443	77	classical	classical	ADJ
fuelectenerg-3144	1443	78	algorithm	algorithm	NOUN
fuelectenerg-3144	1443	79	.	.	PUNCT
fuelectenerg-3144	1444	1	care	care	NOUN
fuelectenerg-3144	1444	2	must	must	AUX
fuelectenerg-3144	1444	3	be	be	AUX
fuelectenerg-3144	1444	4	taken	take	VERB
fuelectenerg-3144	1444	5	in	in	ADP
fuelectenerg-3144	1444	6	this	this	DET
fuelectenerg-3144	1444	7	comparison	comparison	NOUN
fuelectenerg-3144	1444	8	because	because	SCONJ
fuelectenerg-3144	1444	9	we	we	PRON
fuelectenerg-3144	1444	10	are	be	AUX
fuelectenerg-3144	1444	11	only	only	ADV
fuelectenerg-3144	1444	12	comparing	compare	VERB
fuelectenerg-3144	1444	13	the	the	DET
fuelectenerg-3144	1444	14	relative	relative	ADJ
fuelectenerg-3144	1444	15	complexities	complexity	NOUN
fuelectenerg-3144	1444	16	of	of	ADP
fuelectenerg-3144	1444	17	the	the	DET
fuelectenerg-3144	1444	18	two	two	NUM
fuelectenerg-3144	1444	19	algorithms	algorithm	NOUN
fuelectenerg-3144	1444	20	and	and	CCONJ
fuelectenerg-3144	1444	21	not	not	PART
fuelectenerg-3144	1444	22	their	their	PRON
fuelectenerg-3144	1444	23	actual	actual	ADJ
fuelectenerg-3144	1444	24	run	run	NOUN
fuelectenerg-3144	1444	25	times	time	NOUN
fuelectenerg-3144	1444	26	.	.	PUNCT
fuelectenerg-3144	1445	1	in	in	ADP
fuelectenerg-3144	1445	2	particular	particular	ADJ
fuelectenerg-3144	1445	3	,	,	PUNCT
fuelectenerg-3144	1445	4	the	the	DET
fuelectenerg-3144	1445	5	actual	actual	ADJ
fuelectenerg-3144	1445	6	ratio	ratio	NOUN
fuelectenerg-3144	1445	7	of	of	ADP
fuelectenerg-3144	1445	8	run	run	NOUN
fuelectenerg-3144	1445	9	times	time	NOUN
fuelectenerg-3144	1445	10	between	between	ADP
fuelectenerg-3144	1445	11	the	the	DET
fuelectenerg-3144	1445	12	two	two	NUM
fuelectenerg-3144	1445	13	algorithms	algorithm	NOUN
fuelectenerg-3144	1445	14	is	be	AUX
fuelectenerg-3144	1445	15	better	well	ADV
fuelectenerg-3144	1445	16	approximated	approximate	VERB
fuelectenerg-3144	1445	17	as	as	ADP
fuelectenerg-3144	1445	18	cns	cns	NOUN
fuelectenerg-3144	1445	19	!	!	PROPN
fuelectenerg-3144	1445	20	2	2	NUM
fuelectenerg-3144	1445	21	/	/	SYM
fuelectenerg-3144	1445	22	ns	ns	NUM
fuelectenerg-3144	1445	23	ns	ns	NOUN
fuelectenerg-3144	1445	24	,	,	PUNCT
fuelectenerg-3144	1445	25	where	where	SCONJ
fuelectenerg-3144	1445	26	c	c	PROPN
fuelectenerg-3144	1445	27	is	be	AUX
fuelectenerg-3144	1445	28	an	an	DET
fuelectenerg-3144	1445	29	unknown	unknown	ADJ
fuelectenerg-3144	1445	30	constant	constant	NOUN
fuelectenerg-3144	1445	31	.	.	PUNCT
fuelectenerg-3144	1446	1	for	for	ADP
fuelectenerg-3144	1446	2	example	example	NOUN
fuelectenerg-3144	1446	3	,	,	PUNCT
fuelectenerg-3144	1446	4	c	c	PROPN
fuelectenerg-3144	1446	5	=	=	SYM
fuelectenerg-3144	1446	6	1/1000	1/1000	NUM
fuelectenerg-3144	1446	7	indicates	indicate	VERB
fuelectenerg-3144	1446	8	,	,	PUNCT
fuelectenerg-3144	1446	9	very	very	ADV
fuelectenerg-3144	1446	10	roughly	roughly	ADV
fuelectenerg-3144	1446	11	speaking	speak	VERB
fuelectenerg-3144	1446	12	,	,	PUNCT
fuelectenerg-3144	1446	13	that	that	SCONJ
fuelectenerg-3144	1446	14	the	the	DET
fuelectenerg-3144	1446	15	classical	classical	ADJ
fuelectenerg-3144	1446	16	computer	computer	NOUN
fuelectenerg-3144	1446	17	’s	’s	PART
fuelectenerg-3144	1446	18	“	"	PUNCT
fuelectenerg-3144	1446	19	clock	clock	VERB
fuelectenerg-3144	1446	20	speed”—by	speed”—by	NOUN
fuelectenerg-3144	1446	21	which	which	PRON
fuelectenerg-3144	1446	22	we	we	PRON
fuelectenerg-3144	1446	23	mean	mean	VERB
fuelectenerg-3144	1446	24	not	not	PART
fuelectenerg-3144	1446	25	necessarily	necessarily	ADV
fuelectenerg-3144	1446	26	the	the	DET
fuelectenerg-3144	1446	27	hardware	hardware	NOUN
fuelectenerg-3144	1446	28	’s	’s	PART
fuelectenerg-3144	1446	29	physical	physical	ADJ
fuelectenerg-3144	1446	30	clock	clock	NOUN
fuelectenerg-3144	1446	31	speed	speed	NOUN
fuelectenerg-3144	1446	32	,	,	PUNCT
fuelectenerg-3144	1446	33	but	but	CCONJ
fuelectenerg-3144	1446	34	rather	rather	ADV
fuelectenerg-3144	1446	35	the	the	DET
fuelectenerg-3144	1446	36	number	number	NOUN
fuelectenerg-3144	1446	37	of	of	ADP
fuelectenerg-3144	1446	38	low	low	ADJ
fuelectenerg-3144	1446	39	-	-	PUNCT
fuelectenerg-3144	1446	40	level	level	NOUN
fuelectenerg-3144	1446	41	instructions	instruction	NOUN
fuelectenerg-3144	1446	42	executed	execute	VERB
fuelectenerg-3144	1446	43	per	per	ADP
fuelectenerg-3144	1446	44	second	second	ADJ
fuelectenerg-3144	1446	45	—	—	PUNCT
fuelectenerg-3144	1446	46	is	be	AUX
fuelectenerg-3144	1446	47	on	on	ADP
fuelectenerg-3144	1446	48	the	the	DET
fuelectenerg-3144	1446	49	order	order	NOUN
fuelectenerg-3144	1446	50	of	of	ADP
fuelectenerg-3144	1446	51	1000	1000	NUM
fuelectenerg-3144	1446	52	times	time	NOUN
fuelectenerg-3144	1446	53	faster	fast	ADV
fuelectenerg-3144	1446	54	than	than	SCONJ
fuelectenerg-3144	1446	55	the	the	DET
fuelectenerg-3144	1446	56	quantum	quantum	NOUN
fuelectenerg-3144	1446	57	computer	computer	NOUN
fuelectenerg-3144	1446	58	’s	’s	NOUN
fuelectenerg-3144	1446	59	.	.	PUNCT
fuelectenerg-3144	1447	1	from	from	ADP
fuelectenerg-3144	1447	2	table	table	NOUN
fuelectenerg-3144	1447	3	1	1	NUM
fuelectenerg-3144	1447	4	,	,	PUNCT
fuelectenerg-3144	1447	5	we	we	PRON
fuelectenerg-3144	1447	6	can	can	AUX
fuelectenerg-3144	1447	7	see	see	VERB
fuelectenerg-3144	1447	8	that	that	PRON
fuelectenerg-3144	1447	9	for	for	ADP
fuelectenerg-3144	1447	10	ns	ns	ADJ
fuelectenerg-3144	1447	11	=	=	SYM
fuelectenerg-3144	1447	12	16	16	NUM
fuelectenerg-3144	1447	13	,	,	PUNCT
fuelectenerg-3144	1447	14	our	our	PRON
fuelectenerg-3144	1447	15	proposed	propose	VERB
fuelectenerg-3144	1447	16	quantum	quantum	ADJ
fuelectenerg-3144	1447	17	algorithm	algorithm	NOUN
fuelectenerg-3144	1447	18	is	be	AUX
fuelectenerg-3144	1447	19	expected	expect	VERB
fuelectenerg-3144	1447	20	to	to	PART
fuelectenerg-3144	1447	21	be	be	AUX
fuelectenerg-3144	1447	22	faster	fast	ADJ
fuelectenerg-3144	1447	23	even	even	ADV
fuelectenerg-3144	1447	24	if	if	SCONJ
fuelectenerg-3144	1447	25	the	the	DET
fuelectenerg-3144	1447	26	quantum	quantum	ADJ
fuelectenerg-3144	1447	27	computer	computer	NOUN
fuelectenerg-3144	1447	28	on	on	ADP
fuelectenerg-3144	1447	29	which	which	PRON
fuelectenerg-3144	1447	30	it	it	PRON
fuelectenerg-3144	1447	31	is	be	AUX
fuelectenerg-3144	1447	32	running	run	VERB
fuelectenerg-3144	1447	33	has	have	VERB
fuelectenerg-3144	1447	34	a	a	DET
fuelectenerg-3144	1447	35	clock	clock	NOUN
fuelectenerg-3144	1447	36	speed	speed	NOUN
fuelectenerg-3144	1447	37	a	a	DET
fuelectenerg-3144	1447	38	million	million	NUM
fuelectenerg-3144	1447	39	times	time	NOUN
fuelectenerg-3144	1447	40	slower	slow	ADJ
fuelectenerg-3144	1447	41	than	than	ADP
fuelectenerg-3144	1447	42	the	the	DET
fuelectenerg-3144	1447	43	competing	compete	VERB
fuelectenerg-3144	1447	44	classical	classical	ADJ
fuelectenerg-3144	1447	45	computer	computer	NOUN
fuelectenerg-3144	1447	46	.	.	PUNCT
fuelectenerg-3144	1448	1	for	for	ADP
fuelectenerg-3144	1448	2	ns	ns	ADJ
fuelectenerg-3144	1448	3	=	=	SYM
fuelectenerg-3144	1448	4	32	32	NUM
fuelectenerg-3144	1448	5	,	,	PUNCT
fuelectenerg-3144	1448	6	our	our	PRON
fuelectenerg-3144	1448	7	proposed	propose	VERB
fuelectenerg-3144	1448	8	quantum	quantum	ADJ
fuelectenerg-3144	1448	9	algorithm	algorithm	NOUN
fuelectenerg-3144	1448	10	will	will	AUX
fuelectenerg-3144	1448	11	,	,	PUNCT
fuelectenerg-3144	1448	12	nearly	nearly	ADV
fuelectenerg-3144	1448	13	unquestionably	unquestionably	ADV
fuelectenerg-3144	1448	14	,	,	PUNCT
fuelectenerg-3144	1448	15	run	run	VERB
fuelectenerg-3144	1448	16	many	many	ADJ
fuelectenerg-3144	1448	17	orders	order	NOUN
fuelectenerg-3144	1448	18	of	of	ADP
fuelectenerg-3144	1448	19	magnitude	magnitude	NOUN
fuelectenerg-3144	1448	20	faster	fast	ADV
fuelectenerg-3144	1448	21	than	than	ADP
fuelectenerg-3144	1448	22	the	the	DET
fuelectenerg-3144	1448	23	comparable	comparable	ADJ
fuelectenerg-3144	1448	24	classical	classical	ADJ
fuelectenerg-3144	1448	25	algorithm	algorithm	NOUN
fuelectenerg-3144	1448	26	using	use	VERB
fuelectenerg-3144	1448	27	an	an	DET
fuelectenerg-3144	1448	28	exhaustive	exhaustive	ADJ
fuelectenerg-3144	1448	29	search	search	NOUN
fuelectenerg-3144	1448	30	.	.	PUNCT
fuelectenerg-3144	1449	1	this	this	PRON
fuelectenerg-3144	1449	2	gives	give	VERB
fuelectenerg-3144	1449	3	us	we	PRON
fuelectenerg-3144	1449	4	a	a	DET
fuelectenerg-3144	1449	5	high	high	ADJ
fuelectenerg-3144	1449	6	degree	degree	NOUN
fuelectenerg-3144	1449	7	of	of	ADP
fuelectenerg-3144	1449	8	confidence	confidence	NOUN
fuelectenerg-3144	1449	9	in	in	ADP
fuelectenerg-3144	1449	10	our	our	PRON
fuelectenerg-3144	1449	11	expectation	expectation	NOUN
fuelectenerg-3144	1449	12	that	that	SCONJ
fuelectenerg-3144	1449	13	our	our	PRON
fuelectenerg-3144	1449	14	proposed	propose	VERB
fuelectenerg-3144	1449	15	quantum	quantum	ADJ
fuelectenerg-3144	1449	16	algorithm	algorithm	NOUN
fuelectenerg-3144	1449	17	will	will	AUX
fuelectenerg-3144	1449	18	outperform	outperform	VERB
fuelectenerg-3144	1449	19	the	the	DET
fuelectenerg-3144	1449	20	classical	classical	ADJ
fuelectenerg-3144	1449	21	algorithm	algorithm	NOUN
fuelectenerg-3144	1449	22	for	for	ADP
fuelectenerg-3144	1449	23	state	state	NOUN
fuelectenerg-3144	1449	24	machines	machine	NOUN
fuelectenerg-3144	1449	25	of	of	ADP
fuelectenerg-3144	1449	26	reasonable	reasonable	ADJ
fuelectenerg-3144	1449	27	size	size	NOUN
fuelectenerg-3144	1449	28	.	.	PUNCT
fuelectenerg-3144	1450	1	it	it	PRON
fuelectenerg-3144	1450	2	is	be	AUX
fuelectenerg-3144	1450	3	interesting	interesting	ADJ
fuelectenerg-3144	1450	4	to	to	PART
fuelectenerg-3144	1450	5	observe	observe	VERB
fuelectenerg-3144	1450	6	that	that	SCONJ
fuelectenerg-3144	1450	7	the	the	DET
fuelectenerg-3144	1450	8	quantum	quantum	ADJ
fuelectenerg-3144	1450	9	algorithm	algorithm	NOUN
fuelectenerg-3144	1450	10	actually	actually	ADV
fuelectenerg-3144	1450	11	contains	contain	VERB
fuelectenerg-3144	1450	12	a	a	DET
fuelectenerg-3144	1450	13	significant	significant	ADJ
fuelectenerg-3144	1450	14	inefficiency	inefficiency	NOUN
fuelectenerg-3144	1450	15	in	in	ADP
fuelectenerg-3144	1450	16	comparison	comparison	NOUN
fuelectenerg-3144	1450	17	to	to	ADP
fuelectenerg-3144	1450	18	the	the	DET
fuelectenerg-3144	1450	19	classical	classical	ADJ
fuelectenerg-3144	1450	20	algorithm	algorithm	NOUN
fuelectenerg-3144	1450	21	.	.	PUNCT
fuelectenerg-3144	1451	1	the	the	DET
fuelectenerg-3144	1451	2	inefficiency	inefficiency	NOUN
fuelectenerg-3144	1451	3	arises	arise	VERB
fuelectenerg-3144	1451	4	from	from	ADP
fuelectenerg-3144	1451	5	the	the	DET
fuelectenerg-3144	1451	6	fact	fact	NOUN
fuelectenerg-3144	1451	7	that	that	SCONJ
fuelectenerg-3144	1451	8	grover	grover	PROPN
fuelectenerg-3144	1451	9	’s	’s	PART
fuelectenerg-3144	1451	10	algorithm	algorithm	NOUN
fuelectenerg-3144	1451	11	can	can	AUX
fuelectenerg-3144	1451	12	only	only	ADV
fuelectenerg-3144	1451	13	search	search	VERB
fuelectenerg-3144	1451	14	through	through	ADP
fuelectenerg-3144	1451	15	a	a	DET
fuelectenerg-3144	1451	16	space	space	NOUN
fuelectenerg-3144	1451	17	consisting	consist	VERB
fuelectenerg-3144	1451	18	of	of	ADP
fuelectenerg-3144	1451	19	all	all	DET
fuelectenerg-3144	1451	20	possible	possible	ADJ
fuelectenerg-3144	1451	21	binary	binary	ADJ
fuelectenerg-3144	1451	22	strings	string	NOUN
fuelectenerg-3144	1451	23	of	of	ADP
fuelectenerg-3144	1451	24	a	a	DET
fuelectenerg-3144	1451	25	given	give	VERB
fuelectenerg-3144	1451	26	length	length	NOUN
fuelectenerg-3144	1451	27	.	.	PUNCT
fuelectenerg-3144	1452	1	therefore	therefore	ADV
fuelectenerg-3144	1452	2	,	,	PUNCT
fuelectenerg-3144	1452	3	the	the	DET
fuelectenerg-3144	1452	4	quantum	quantum	ADJ
fuelectenerg-3144	1452	5	algorithm	algorithm	NOUN
fuelectenerg-3144	1452	6	searches	search	VERB
fuelectenerg-3144	1452	7	through	through	ADP
fuelectenerg-3144	1452	8	all	all	DET
fuelectenerg-3144	1452	9	possible	possible	ADJ
fuelectenerg-3144	1452	10	combinations	combination	NOUN
fuelectenerg-3144	1452	11	of	of	ADP
fuelectenerg-3144	1452	12	inputs	input	NOUN
fuelectenerg-3144	1452	13	to	to	ADP
fuelectenerg-3144	1452	14	the	the	DET
fuelectenerg-3144	1452	15	oracle	oracle	NOUN
fuelectenerg-3144	1452	16	as	as	SCONJ
fuelectenerg-3144	1452	17	illustrated	illustrate	VERB
fuelectenerg-3144	1452	18	in	in	ADP
fuelectenerg-3144	1452	19	figure	figure	NOUN
fuelectenerg-3144	1452	20	10(b	10(b	NUM
fuelectenerg-3144	1452	21	)	)	PUNCT
fuelectenerg-3144	1452	22	,	,	PUNCT
fuelectenerg-3144	1452	23	even	even	ADV
fuelectenerg-3144	1452	24	those	those	PRON
fuelectenerg-3144	1452	25	that	that	PRON
fuelectenerg-3144	1452	26	do	do	AUX
fuelectenerg-3144	1452	27	not	not	PART
fuelectenerg-3144	1452	28	represent	represent	VERB
fuelectenerg-3144	1452	29	a	a	DET
fuelectenerg-3144	1452	30	valid	valid	ADJ
fuelectenerg-3144	1452	31	encoding	encoding	NOUN
fuelectenerg-3144	1452	32	.	.	PUNCT
fuelectenerg-3144	1453	1	this	this	PRON
fuelectenerg-3144	1453	2	means	mean	VERB
fuelectenerg-3144	1453	3	that	that	SCONJ
fuelectenerg-3144	1453	4	a	a	DET
fuelectenerg-3144	1453	5	large	large	ADJ
fuelectenerg-3144	1453	6	portion	portion	NOUN
fuelectenerg-3144	1453	7	of	of	ADP
fuelectenerg-3144	1453	8	the	the	DET
fuelectenerg-3144	1453	9	search	search	NOUN
fuelectenerg-3144	1453	10	space	space	NOUN
fuelectenerg-3144	1453	11	is	be	AUX
fuelectenerg-3144	1453	12	effectively	effectively	ADV
fuelectenerg-3144	1453	13	extraneous	extraneous	ADJ
fuelectenerg-3144	1453	14	,	,	PUNCT
fuelectenerg-3144	1453	15	and	and	CCONJ
fuelectenerg-3144	1453	16	is	be	AUX
fuelectenerg-3144	1453	17	excluded	exclude	VERB
fuelectenerg-3144	1453	18	by	by	ADP
fuelectenerg-3144	1453	19	the	the	DET
fuelectenerg-3144	1453	20	uniqueness	uniqueness	NOUN
fuelectenerg-3144	1453	21	checking	check	VERB
fuelectenerg-3144	1453	22	circuit	circuit	NOUN
fuelectenerg-3144	1453	23	from	from	ADP
fuelectenerg-3144	1453	24	figure	figure	NOUN
fuelectenerg-3144	1453	25	21	21	NUM
fuelectenerg-3144	1453	26	.	.	PUNCT
fuelectenerg-3144	1454	1	the	the	DET
fuelectenerg-3144	1454	2	classical	classical	ADJ
fuelectenerg-3144	1454	3	algorithm	algorithm	NOUN
fuelectenerg-3144	1454	4	has	have	VERB
fuelectenerg-3144	1454	5	no	no	DET
fuelectenerg-3144	1454	6	such	such	ADJ
fuelectenerg-3144	1454	7	difficulty	difficulty	NOUN
fuelectenerg-3144	1454	8	as	as	SCONJ
fuelectenerg-3144	1454	9	it	it	PRON
fuelectenerg-3144	1454	10	can	can	AUX
fuelectenerg-3144	1454	11	simply	simply	ADV
fuelectenerg-3144	1454	12	search	search	VERB
fuelectenerg-3144	1454	13	through	through	ADP
fuelectenerg-3144	1454	14	only	only	ADV
fuelectenerg-3144	1454	15	the	the	DET
fuelectenerg-3144	1454	16	set	set	NOUN
fuelectenerg-3144	1454	17	of	of	ADP
fuelectenerg-3144	1454	18	valid	valid	ADJ
fuelectenerg-3144	1454	19	encodings	encoding	NOUN
fuelectenerg-3144	1454	20	,	,	PUNCT
fuelectenerg-3144	1454	21	and	and	CCONJ
fuelectenerg-3144	1454	22	is	be	AUX
fuelectenerg-3144	1454	23	not	not	PART
fuelectenerg-3144	1454	24	forced	force	VERB
fuelectenerg-3144	1454	25	to	to	PART
fuelectenerg-3144	1454	26	search	search	VERB
fuelectenerg-3144	1454	27	through	through	ADP
fuelectenerg-3144	1454	28	a	a	DET
fuelectenerg-3144	1454	29	space	space	NOUN
fuelectenerg-3144	1454	30	of	of	ADP
fuelectenerg-3144	1454	31	all	all	DET
fuelectenerg-3144	1454	32	possible	possible	ADJ
fuelectenerg-3144	1454	33	binary	binary	ADJ
fuelectenerg-3144	1454	34	strings	string	NOUN
fuelectenerg-3144	1454	35	of	of	ADP
fuelectenerg-3144	1454	36	a	a	DET
fuelectenerg-3144	1454	37	given	give	VERB
fuelectenerg-3144	1454	38	length	length	NOUN
fuelectenerg-3144	1454	39	,	,	PUNCT
fuelectenerg-3144	1454	40	as	as	SCONJ
fuelectenerg-3144	1454	41	grover	grover	PROPN
fuelectenerg-3144	1454	42	’s	’s	PART
fuelectenerg-3144	1454	43	algorithm	algorithm	NOUN
fuelectenerg-3144	1454	44	is	be	AUX
fuelectenerg-3144	1454	45	.	.	PUNCT
fuelectenerg-3144	1455	1	the	the	DET
fuelectenerg-3144	1455	2	fact	fact	NOUN
fuelectenerg-3144	1455	3	that	that	SCONJ
fuelectenerg-3144	1455	4	the	the	DET
fuelectenerg-3144	1455	5	quantum	quantum	ADJ
fuelectenerg-3144	1455	6	algorithm	algorithm	NOUN
fuelectenerg-3144	1455	7	still	still	ADV
fuelectenerg-3144	1455	8	outperforms	outperform	VERB
fuelectenerg-3144	1455	9	the	the	DET
fuelectenerg-3144	1455	10	classical	classical	ADJ
fuelectenerg-3144	1455	11	algorithm	algorithm	NOUN
fuelectenerg-3144	1455	12	,	,	PUNCT
fuelectenerg-3144	1455	13	with	with	ADP
fuelectenerg-3144	1455	14	a	a	DET
fuelectenerg-3144	1455	15	lower	low	ADJ
fuelectenerg-3144	1455	16	run	run	NOUN
fuelectenerg-3144	1455	17	time	time	NOUN
fuelectenerg-3144	1455	18	complexity	complexity	NOUN
fuelectenerg-3144	1455	19	,	,	PUNCT
fuelectenerg-3144	1455	20	shows	show	VERB
fuelectenerg-3144	1455	21	that	that	SCONJ
fuelectenerg-3144	1455	22	this	this	DET
fuelectenerg-3144	1455	23	disadvantage	disadvantage	NOUN
fuelectenerg-3144	1455	24	is	be	AUX
fuelectenerg-3144	1455	25	outweighed	outweigh	VERB
fuelectenerg-3144	1455	26	by	by	ADP
fuelectenerg-3144	1455	27	the	the	DET
fuelectenerg-3144	1455	28	quadratic	quadratic	ADJ
fuelectenerg-3144	1455	29	speedup	speedup	NOUN
fuelectenerg-3144	1455	30	in	in	ADP
fuelectenerg-3144	1455	31	searching	searching	NOUN
fuelectenerg-3144	1455	32	obtained	obtain	VERB
fuelectenerg-3144	1455	33	from	from	ADP
fuelectenerg-3144	1455	34	using	use	VERB
fuelectenerg-3144	1455	35	grover	grover	NOUN
fuelectenerg-3144	1455	36	’s	’s	PART
fuelectenerg-3144	1455	37	algorithm	algorithm	NOUN
fuelectenerg-3144	1455	38	.	.	PUNCT
fuelectenerg-3144	1456	1	43	43	NUM
fuelectenerg-3144	1456	2	210	210	NUM
fuelectenerg-3144	1456	3	e.	e.	PROPN
fuelectenerg-3144	1456	4	tsai	tsai	PROPN
fuelectenerg-3144	1456	5	,	,	PUNCT
fuelectenerg-3144	1456	6	m.	m.	PROPN
fuelectenerg-3144	1456	7	perkowski	perkowski	PROPN
fuelectenerg-3144	1456	8	a	a	DET
fuelectenerg-3144	1456	9	quantum	quantum	ADJ
fuelectenerg-3144	1456	10	algorithm	algorithm	NOUN
fuelectenerg-3144	1456	11	for	for	ADP
fuelectenerg-3144	1456	12	automata	automata	NOUN
fuelectenerg-3144	1456	13	encoding	encode	VERB
fuelectenerg-3144	1456	14	211	211	NUM
fuelectenerg-3144	1456	15	7	7	NUM
fuelectenerg-3144	1456	16	conclusion	conclusion	NOUN
fuelectenerg-3144	1456	17	we	we	PRON
fuelectenerg-3144	1456	18	presented	present	VERB
fuelectenerg-3144	1456	19	a	a	DET
fuelectenerg-3144	1456	20	quantum	quantum	ADJ
fuelectenerg-3144	1456	21	algorithm	algorithm	NOUN
fuelectenerg-3144	1456	22	for	for	ADP
fuelectenerg-3144	1456	23	finding	find	VERB
fuelectenerg-3144	1456	24	an	an	DET
fuelectenerg-3144	1456	25	exact	exact	ADJ
fuelectenerg-3144	1456	26	solution	solution	NOUN
fuelectenerg-3144	1456	27	to	to	ADP
fuelectenerg-3144	1456	28	the	the	DET
fuelectenerg-3144	1456	29	problem	problem	NOUN
fuelectenerg-3144	1456	30	of	of	ADP
fuelectenerg-3144	1456	31	encoding	encode	VERB
fuelectenerg-3144	1456	32	a	a	DET
fuelectenerg-3144	1456	33	finite	finite	ADJ
fuelectenerg-3144	1456	34	state	state	NOUN
fuelectenerg-3144	1456	35	machine	machine	NOUN
fuelectenerg-3144	1456	36	with	with	ADP
fuelectenerg-3144	1456	37	the	the	DET
fuelectenerg-3144	1456	38	lowest	low	ADJ
fuelectenerg-3144	1456	39	cost	cost	NOUN
fuelectenerg-3144	1456	40	possible	possible	ADJ
fuelectenerg-3144	1456	41	.	.	PUNCT
fuelectenerg-3144	1457	1	specifically	specifically	ADV
fuelectenerg-3144	1457	2	,	,	PUNCT
fuelectenerg-3144	1457	3	our	our	PRON
fuelectenerg-3144	1457	4	algorithm	algorithm	NOUN
fuelectenerg-3144	1457	5	finds	find	VERB
fuelectenerg-3144	1457	6	an	an	DET
fuelectenerg-3144	1457	7	optimal	optimal	ADJ
fuelectenerg-3144	1457	8	encoding	encoding	NOUN
fuelectenerg-3144	1457	9	for	for	ADP
fuelectenerg-3144	1457	10	any	any	DET
fuelectenerg-3144	1457	11	fsm	fsm	NOUN
fuelectenerg-3144	1457	12	with	with	ADP
fuelectenerg-3144	1457	13	numbers	number	NOUN
fuelectenerg-3144	1457	14	of	of	ADP
fuelectenerg-3144	1457	15	inputs	input	NOUN
fuelectenerg-3144	1457	16	and	and	CCONJ
fuelectenerg-3144	1457	17	states	state	NOUN
fuelectenerg-3144	1457	18	that	that	PRON
fuelectenerg-3144	1457	19	are	be	AUX
fuelectenerg-3144	1457	20	powers	power	NOUN
fuelectenerg-3144	1457	21	of	of	ADP
fuelectenerg-3144	1457	22	two	two	NUM
fuelectenerg-3144	1457	23	,	,	PUNCT
fuelectenerg-3144	1457	24	under	under	ADP
fuelectenerg-3144	1457	25	the	the	DET
fuelectenerg-3144	1457	26	assumptions	assumption	NOUN
fuelectenerg-3144	1457	27	that	that	SCONJ
fuelectenerg-3144	1457	28	the	the	DET
fuelectenerg-3144	1457	29	number	number	NOUN
fuelectenerg-3144	1457	30	of	of	ADP
fuelectenerg-3144	1457	31	state	state	NOUN
fuelectenerg-3144	1457	32	and	and	CCONJ
fuelectenerg-3144	1457	33	input	input	NOUN
fuelectenerg-3144	1457	34	variables	variable	NOUN
fuelectenerg-3144	1457	35	must	must	AUX
fuelectenerg-3144	1457	36	be	be	AUX
fuelectenerg-3144	1457	37	the	the	DET
fuelectenerg-3144	1457	38	smallest	small	ADJ
fuelectenerg-3144	1457	39	possible	possible	ADJ
fuelectenerg-3144	1457	40	and	and	CCONJ
fuelectenerg-3144	1457	41	that	that	SCONJ
fuelectenerg-3144	1457	42	the	the	DET
fuelectenerg-3144	1457	43	cost	cost	NOUN
fuelectenerg-3144	1457	44	of	of	ADP
fuelectenerg-3144	1457	45	an	an	DET
fuelectenerg-3144	1457	46	encoding	encoding	NOUN
fuelectenerg-3144	1457	47	is	be	AUX
fuelectenerg-3144	1457	48	given	give	VERB
fuelectenerg-3144	1457	49	by	by	ADP
fuelectenerg-3144	1457	50	the	the	DET
fuelectenerg-3144	1457	51	total	total	ADJ
fuelectenerg-3144	1457	52	number	number	NOUN
fuelectenerg-3144	1457	53	of	of	ADP
fuelectenerg-3144	1457	54	variables	variable	NOUN
fuelectenerg-3144	1457	55	on	on	ADP
fuelectenerg-3144	1457	56	which	which	PRON
fuelectenerg-3144	1457	57	the	the	DET
fuelectenerg-3144	1457	58	encoded	encode	VERB
fuelectenerg-3144	1457	59	transition	transition	NOUN
fuelectenerg-3144	1457	60	functions	function	NOUN
fuelectenerg-3144	1457	61	resulting	result	VERB
fuelectenerg-3144	1457	62	from	from	ADP
fuelectenerg-3144	1457	63	that	that	DET
fuelectenerg-3144	1457	64	encoding	encoding	NOUN
fuelectenerg-3144	1457	65	depend	depend	NOUN
fuelectenerg-3144	1457	66	.	.	PUNCT
fuelectenerg-3144	1458	1	our	our	PRON
fuelectenerg-3144	1458	2	algorithm	algorithm	NOUN
fuelectenerg-3144	1458	3	contains	contain	VERB
fuelectenerg-3144	1458	4	the	the	DET
fuelectenerg-3144	1458	5	following	follow	VERB
fuelectenerg-3144	1458	6	notable	notable	ADJ
fuelectenerg-3144	1458	7	features	feature	NOUN
fuelectenerg-3144	1458	8	:	:	PUNCT
fuelectenerg-3144	1459	1	1	1	X
fuelectenerg-3144	1459	2	.	.	X
fuelectenerg-3144	1460	1	it	it	PRON
fuelectenerg-3144	1460	2	uses	use	VERB
fuelectenerg-3144	1460	3	a	a	DET
fuelectenerg-3144	1460	4	quantum	quantum	ADJ
fuelectenerg-3144	1460	5	computer	computer	NOUN
fuelectenerg-3144	1460	6	with	with	ADP
fuelectenerg-3144	1460	7	grover	grover	PROPN
fuelectenerg-3144	1460	8	’s	’s	PART
fuelectenerg-3144	1460	9	algorithm	algorithm	NOUN
fuelectenerg-3144	1460	10	as	as	ADP
fuelectenerg-3144	1460	11	a	a	DET
fuelectenerg-3144	1460	12	subroutine	subroutine	NOUN
fuelectenerg-3144	1460	13	to	to	PART
fuelectenerg-3144	1460	14	perform	perform	VERB
fuelectenerg-3144	1460	15	exhaustive	exhaustive	ADJ
fuelectenerg-3144	1460	16	searches	search	NOUN
fuelectenerg-3144	1460	17	with	with	ADP
fuelectenerg-3144	1460	18	lower	low	ADJ
fuelectenerg-3144	1460	19	time	time	NOUN
fuelectenerg-3144	1460	20	complexity	complexity	NOUN
fuelectenerg-3144	1460	21	than	than	ADP
fuelectenerg-3144	1460	22	that	that	PRON
fuelectenerg-3144	1460	23	which	which	PRON
fuelectenerg-3144	1460	24	is	be	AUX
fuelectenerg-3144	1460	25	achievable	achievable	ADJ
fuelectenerg-3144	1460	26	using	use	VERB
fuelectenerg-3144	1460	27	a	a	DET
fuelectenerg-3144	1460	28	classical	classical	ADJ
fuelectenerg-3144	1460	29	computer	computer	NOUN
fuelectenerg-3144	1460	30	alone	alone	ADV
fuelectenerg-3144	1460	31	,	,	PUNCT
fuelectenerg-3144	1460	32	thus	thus	ADV
fuelectenerg-3144	1460	33	making	make	VERB
fuelectenerg-3144	1460	34	those	those	DET
fuelectenerg-3144	1460	35	exhaustive	exhaustive	ADJ
fuelectenerg-3144	1460	36	searches	search	NOUN
fuelectenerg-3144	1460	37	more	more	ADV
fuelectenerg-3144	1460	38	practical	practical	ADJ
fuelectenerg-3144	1460	39	.	.	PUNCT
fuelectenerg-3144	1461	1	little	little	ADJ
fuelectenerg-3144	1461	2	to	to	ADP
fuelectenerg-3144	1461	3	no	no	DET
fuelectenerg-3144	1461	4	published	publish	VERB
fuelectenerg-3144	1461	5	work	work	NOUN
fuelectenerg-3144	1461	6	exists	exist	VERB
fuelectenerg-3144	1461	7	on	on	ADP
fuelectenerg-3144	1461	8	the	the	DET
fuelectenerg-3144	1461	9	subject	subject	NOUN
fuelectenerg-3144	1461	10	of	of	ADP
fuelectenerg-3144	1461	11	applying	apply	VERB
fuelectenerg-3144	1461	12	grover	grover	NOUN
fuelectenerg-3144	1461	13	’s	’s	PART
fuelectenerg-3144	1461	14	algorithm	algorithm	NOUN
fuelectenerg-3144	1461	15	to	to	PART
fuelectenerg-3144	1461	16	directly	directly	ADV
fuelectenerg-3144	1461	17	solve	solve	VERB
fuelectenerg-3144	1461	18	a	a	DET
fuelectenerg-3144	1461	19	practically	practically	ADV
fuelectenerg-3144	1461	20	useful	useful	ADJ
fuelectenerg-3144	1461	21	problem	problem	NOUN
fuelectenerg-3144	1461	22	,	,	PUNCT
fuelectenerg-3144	1461	23	and	and	CCONJ
fuelectenerg-3144	1461	24	the	the	DET
fuelectenerg-3144	1461	25	present	present	ADJ
fuelectenerg-3144	1461	26	work	work	NOUN
fuelectenerg-3144	1461	27	is	be	AUX
fuelectenerg-3144	1461	28	the	the	DET
fuelectenerg-3144	1461	29	first	first	ADJ
fuelectenerg-3144	1461	30	to	to	PART
fuelectenerg-3144	1461	31	apply	apply	VERB
fuelectenerg-3144	1461	32	grover	grover	PROPN
fuelectenerg-3144	1461	33	’s	’s	PART
fuelectenerg-3144	1461	34	algorithm	algorithm	NOUN
fuelectenerg-3144	1461	35	to	to	ADP
fuelectenerg-3144	1461	36	the	the	DET
fuelectenerg-3144	1461	37	problem	problem	NOUN
fuelectenerg-3144	1461	38	of	of	ADP
fuelectenerg-3144	1461	39	finding	find	VERB
fuelectenerg-3144	1461	40	optimal	optimal	ADJ
fuelectenerg-3144	1461	41	encodings	encoding	NOUN
fuelectenerg-3144	1461	42	,	,	PUNCT
fuelectenerg-3144	1461	43	based	base	VERB
fuelectenerg-3144	1461	44	on	on	ADP
fuelectenerg-3144	1461	45	the	the	DET
fuelectenerg-3144	1461	46	simple	simple	ADJ
fuelectenerg-3144	1461	47	metric	metric	NOUN
fuelectenerg-3144	1461	48	of	of	ADP
fuelectenerg-3144	1461	49	dependencies	dependency	NOUN
fuelectenerg-3144	1461	50	for	for	ADP
fuelectenerg-3144	1461	51	completely	completely	ADV
fuelectenerg-3144	1461	52	specified	specify	VERB
fuelectenerg-3144	1461	53	finite	finite	ADJ
fuelectenerg-3144	1461	54	state	state	NOUN
fuelectenerg-3144	1461	55	machines	machine	NOUN
fuelectenerg-3144	1461	56	where	where	SCONJ
fuelectenerg-3144	1461	57	both	both	CCONJ
fuelectenerg-3144	1461	58	the	the	DET
fuelectenerg-3144	1461	59	number	number	NOUN
fuelectenerg-3144	1461	60	of	of	ADP
fuelectenerg-3144	1461	61	states	state	NOUN
fuelectenerg-3144	1461	62	and	and	CCONJ
fuelectenerg-3144	1461	63	the	the	DET
fuelectenerg-3144	1461	64	number	number	NOUN
fuelectenerg-3144	1461	65	of	of	ADP
fuelectenerg-3144	1461	66	input	input	NOUN
fuelectenerg-3144	1461	67	values	value	NOUN
fuelectenerg-3144	1461	68	are	be	AUX
fuelectenerg-3144	1461	69	a	a	DET
fuelectenerg-3144	1461	70	power	power	NOUN
fuelectenerg-3144	1461	71	of	of	ADP
fuelectenerg-3144	1461	72	2	2	NUM
fuelectenerg-3144	1461	73	.	.	NOUN
fuelectenerg-3144	1462	1	2	2	NUM
fuelectenerg-3144	1462	2	.	.	X
fuelectenerg-3144	1462	3	it	it	PRON
fuelectenerg-3144	1462	4	simultaneously	simultaneously	ADV
fuelectenerg-3144	1462	5	optimizes	optimize	VERB
fuelectenerg-3144	1462	6	both	both	DET
fuelectenerg-3144	1462	7	state	state	NOUN
fuelectenerg-3144	1462	8	and	and	CCONJ
fuelectenerg-3144	1462	9	input	input	NOUN
fuelectenerg-3144	1462	10	encodings	encoding	NOUN
fuelectenerg-3144	1462	11	for	for	ADP
fuelectenerg-3144	1462	12	an	an	DET
fuelectenerg-3144	1462	13	fsm	fsm	PROPN
fuelectenerg-3144	1462	14	.	.	PUNCT
fuelectenerg-3144	1463	1	currently	currently	ADV
fuelectenerg-3144	1463	2	,	,	PUNCT
fuelectenerg-3144	1463	3	[	[	X
fuelectenerg-3144	1463	4	12	12	NUM
fuelectenerg-3144	1463	5	]	]	PUNCT
fuelectenerg-3144	1463	6	is	be	AUX
fuelectenerg-3144	1463	7	the	the	DET
fuelectenerg-3144	1463	8	only	only	ADJ
fuelectenerg-3144	1463	9	other	other	ADJ
fuelectenerg-3144	1463	10	published	publish	VERB
fuelectenerg-3144	1463	11	method	method	NOUN
fuelectenerg-3144	1463	12	that	that	PRON
fuelectenerg-3144	1463	13	finds	find	VERB
fuelectenerg-3144	1463	14	exact	exact	ADJ
fuelectenerg-3144	1463	15	minimum	minimum	ADJ
fuelectenerg-3144	1463	16	solutions	solution	NOUN
fuelectenerg-3144	1463	17	;	;	PUNCT
fuelectenerg-3144	1463	18	however	however	ADV
fuelectenerg-3144	1463	19	,	,	PUNCT
fuelectenerg-3144	1463	20	[	[	X
fuelectenerg-3144	1463	21	12	12	NUM
fuelectenerg-3144	1463	22	]	]	PUNCT
fuelectenerg-3144	1463	23	only	only	ADV
fuelectenerg-3144	1463	24	solves	solve	VERB
fuelectenerg-3144	1463	25	the	the	DET
fuelectenerg-3144	1463	26	problem	problem	NOUN
fuelectenerg-3144	1463	27	of	of	ADP
fuelectenerg-3144	1463	28	state	state	NOUN
fuelectenerg-3144	1463	29	,	,	PUNCT
fuelectenerg-3144	1463	30	and	and	CCONJ
fuelectenerg-3144	1463	31	not	not	PART
fuelectenerg-3144	1463	32	input	input	NOUN
fuelectenerg-3144	1463	33	,	,	PUNCT
fuelectenerg-3144	1463	34	encoding	encoding	NOUN
fuelectenerg-3144	1463	35	.	.	PUNCT
fuelectenerg-3144	1464	1	additionally	additionally	ADV
fuelectenerg-3144	1464	2	,	,	PUNCT
fuelectenerg-3144	1464	3	the	the	DET
fuelectenerg-3144	1464	4	method	method	NOUN
fuelectenerg-3144	1464	5	presented	present	VERB
fuelectenerg-3144	1464	6	in	in	ADP
fuelectenerg-3144	1464	7	[	[	X
fuelectenerg-3144	1464	8	12	12	NUM
fuelectenerg-3144	1464	9	]	]	PUNCT
fuelectenerg-3144	1464	10	is	be	AUX
fuelectenerg-3144	1464	11	specialized	specialize	VERB
fuelectenerg-3144	1464	12	for	for	ADP
fuelectenerg-3144	1464	13	fsms	fsm	NOUN
fuelectenerg-3144	1464	14	implemented	implement	VERB
fuelectenerg-3144	1464	15	using	use	VERB
fuelectenerg-3144	1464	16	plas	pla	NOUN
fuelectenerg-3144	1464	17	because	because	SCONJ
fuelectenerg-3144	1464	18	it	it	PRON
fuelectenerg-3144	1464	19	minimizes	minimize	VERB
fuelectenerg-3144	1464	20	the	the	DET
fuelectenerg-3144	1464	21	total	total	ADJ
fuelectenerg-3144	1464	22	number	number	NOUN
fuelectenerg-3144	1464	23	of	of	ADP
fuelectenerg-3144	1464	24	pla	pla	NOUN
fuelectenerg-3144	1464	25	product	product	NOUN
fuelectenerg-3144	1464	26	terms	term	NOUN
fuelectenerg-3144	1464	27	.	.	PUNCT
fuelectenerg-3144	1465	1	in	in	ADP
fuelectenerg-3144	1465	2	comparison	comparison	NOUN
fuelectenerg-3144	1465	3	,	,	PUNCT
fuelectenerg-3144	1465	4	we	we	PRON
fuelectenerg-3144	1465	5	use	use	VERB
fuelectenerg-3144	1465	6	the	the	DET
fuelectenerg-3144	1465	7	cruder	crude	ADJ
fuelectenerg-3144	1465	8	but	but	CCONJ
fuelectenerg-3144	1465	9	more	more	ADV
fuelectenerg-3144	1465	10	generally	generally	ADV
fuelectenerg-3144	1465	11	applicable	applicable	ADJ
fuelectenerg-3144	1465	12	cost	cost	NOUN
fuelectenerg-3144	1465	13	metric	metric	NOUN
fuelectenerg-3144	1465	14	of	of	ADP
fuelectenerg-3144	1465	15	the	the	DET
fuelectenerg-3144	1465	16	total	total	ADJ
fuelectenerg-3144	1465	17	number	number	NOUN
fuelectenerg-3144	1465	18	of	of	ADP
fuelectenerg-3144	1465	19	variables	variable	NOUN
fuelectenerg-3144	1465	20	on	on	ADP
fuelectenerg-3144	1465	21	which	which	PRON
fuelectenerg-3144	1465	22	a	a	DET
fuelectenerg-3144	1465	23	function	function	NOUN
fuelectenerg-3144	1465	24	depends	depend	VERB
fuelectenerg-3144	1465	25	.	.	PUNCT
fuelectenerg-3144	1466	1	3	3	X
fuelectenerg-3144	1466	2	.	.	X
fuelectenerg-3144	1466	3	it	it	PRON
fuelectenerg-3144	1466	4	uses	use	VERB
fuelectenerg-3144	1466	5	grover	grover	PROPN
fuelectenerg-3144	1466	6	’s	’s	PART
fuelectenerg-3144	1466	7	algorithm	algorithm	NOUN
fuelectenerg-3144	1466	8	to	to	PART
fuelectenerg-3144	1466	9	solve	solve	VERB
fuelectenerg-3144	1466	10	an	an	DET
fuelectenerg-3144	1466	11	optimization	optimization	NOUN
fuelectenerg-3144	1466	12	,	,	PUNCT
fuelectenerg-3144	1466	13	rather	rather	ADV
fuelectenerg-3144	1466	14	than	than	ADP
fuelectenerg-3144	1466	15	satisfaction	satisfaction	NOUN
fuelectenerg-3144	1466	16	,	,	PUNCT
fuelectenerg-3144	1466	17	problem	problem	NOUN
fuelectenerg-3144	1466	18	.	.	PUNCT
fuelectenerg-3144	1467	1	it	it	PRON
fuelectenerg-3144	1467	2	achieves	achieve	VERB
fuelectenerg-3144	1467	3	this	this	PRON
fuelectenerg-3144	1467	4	by	by	ADP
fuelectenerg-3144	1467	5	solving	solve	VERB
fuelectenerg-3144	1467	6	a	a	DET
fuelectenerg-3144	1467	7	sequence	sequence	NOUN
fuelectenerg-3144	1467	8	of	of	ADP
fuelectenerg-3144	1467	9	satisfaction	satisfaction	NOUN
fuelectenerg-3144	1467	10	problems	problem	NOUN
fuelectenerg-3144	1467	11	using	use	VERB
fuelectenerg-3144	1467	12	grover	grover	PROPN
fuelectenerg-3144	1467	13	’s	’s	PART
fuelectenerg-3144	1467	14	algorithm	algorithm	NOUN
fuelectenerg-3144	1467	15	;	;	PUNCT
fuelectenerg-3144	1467	16	each	each	DET
fuelectenerg-3144	1467	17	such	such	ADJ
fuelectenerg-3144	1467	18	satisfaction	satisfaction	NOUN
fuelectenerg-3144	1467	19	problem	problem	NOUN
fuelectenerg-3144	1467	20	is	be	AUX
fuelectenerg-3144	1467	21	of	of	ADP
fuelectenerg-3144	1467	22	the	the	DET
fuelectenerg-3144	1467	23	form	form	NOUN
fuelectenerg-3144	1467	24	“	"	PUNCT
fuelectenerg-3144	1467	25	find	find	VERB
fuelectenerg-3144	1467	26	an	an	DET
fuelectenerg-3144	1467	27	encoding	encoding	NOUN
fuelectenerg-3144	1467	28	with	with	ADP
fuelectenerg-3144	1467	29	cost	cost	NOUN
fuelectenerg-3144	1467	30	at	at	ADP
fuelectenerg-3144	1467	31	most	most	ADJ
fuelectenerg-3144	1467	32	r	r	NOUN
fuelectenerg-3144	1467	33	”	"	PUNCT
fuelectenerg-3144	1467	34	where	where	SCONJ
fuelectenerg-3144	1467	35	r	r	NOUN
fuelectenerg-3144	1467	36	is	be	AUX
fuelectenerg-3144	1467	37	a	a	DET
fuelectenerg-3144	1467	38	threshold	threshold	NOUN
fuelectenerg-3144	1467	39	that	that	PRON
fuelectenerg-3144	1467	40	is	be	AUX
fuelectenerg-3144	1467	41	varied	varied	ADJ
fuelectenerg-3144	1467	42	.	.	PUNCT
fuelectenerg-3144	1468	1	by	by	ADP
fuelectenerg-3144	1468	2	repeatedly	repeatedly	ADV
fuelectenerg-3144	1468	3	executing	execute	VERB
fuelectenerg-3144	1468	4	grover	grover	NOUN
fuelectenerg-3144	1468	5	’s	’s	PART
fuelectenerg-3144	1468	6	algorithm	algorithm	NOUN
fuelectenerg-3144	1468	7	for	for	ADP
fuelectenerg-3144	1468	8	different	different	ADJ
fuelectenerg-3144	1468	9	thresholds	threshold	NOUN
fuelectenerg-3144	1468	10	,	,	PUNCT
fuelectenerg-3144	1468	11	where	where	SCONJ
fuelectenerg-3144	1468	12	the	the	DET
fuelectenerg-3144	1468	13	threshold	threshold	NOUN
fuelectenerg-3144	1468	14	is	be	AUX
fuelectenerg-3144	1468	15	varied	varied	ADJ
fuelectenerg-3144	1468	16	according	accord	VERB
fuelectenerg-3144	1468	17	to	to	ADP
fuelectenerg-3144	1468	18	an	an	DET
fuelectenerg-3144	1468	19	appropriate	appropriate	ADJ
fuelectenerg-3144	1468	20	strategy	strategy	NOUN
fuelectenerg-3144	1468	21	(	(	PUNCT
fuelectenerg-3144	1468	22	e.g.	e.g.	ADV
fuelectenerg-3144	1468	23	,	,	PUNCT
fuelectenerg-3144	1468	24	a	a	DET
fuelectenerg-3144	1468	25	binary	binary	ADJ
fuelectenerg-3144	1468	26	search	search	NOUN
fuelectenerg-3144	1468	27	strategy	strategy	NOUN
fuelectenerg-3144	1468	28	)	)	PUNCT
fuelectenerg-3144	1468	29	,	,	PUNCT
fuelectenerg-3144	1468	30	the	the	DET
fuelectenerg-3144	1468	31	algorithm	algorithm	NOUN
fuelectenerg-3144	1468	32	eventually	eventually	ADV
fuelectenerg-3144	1468	33	finds	find	VERB
fuelectenerg-3144	1468	34	the	the	DET
fuelectenerg-3144	1468	35	exact	exact	ADJ
fuelectenerg-3144	1468	36	minimum	minimum	ADJ
fuelectenerg-3144	1468	37	possible	possible	ADJ
fuelectenerg-3144	1468	38	cost	cost	NOUN
fuelectenerg-3144	1468	39	and	and	CCONJ
fuelectenerg-3144	1468	40	an	an	DET
fuelectenerg-3144	1468	41	encoding	encoding	NOUN
fuelectenerg-3144	1468	42	with	with	ADP
fuelectenerg-3144	1468	43	that	that	DET
fuelectenerg-3144	1468	44	cost	cost	NOUN
fuelectenerg-3144	1468	45	.	.	PUNCT
fuelectenerg-3144	1469	1	4	4	X
fuelectenerg-3144	1469	2	.	.	X
fuelectenerg-3144	1469	3	we	we	PRON
fuelectenerg-3144	1469	4	introduced	introduce	VERB
fuelectenerg-3144	1469	5	the	the	DET
fuelectenerg-3144	1469	6	concept	concept	NOUN
fuelectenerg-3144	1469	7	of	of	ADP
fuelectenerg-3144	1469	8	using	use	VERB
fuelectenerg-3144	1469	9	a	a	DET
fuelectenerg-3144	1469	10	quantum	quantum	ADJ
fuelectenerg-3144	1469	11	counter	counter	NOUN
fuelectenerg-3144	1469	12	in	in	ADP
fuelectenerg-3144	1469	13	tandem	tandem	NOUN
fuelectenerg-3144	1469	14	with	with	ADP
fuelectenerg-3144	1469	15	a	a	DET
fuelectenerg-3144	1469	16	threshold	threshold	NOUN
fuelectenerg-3144	1469	17	circuit	circuit	NOUN
fuelectenerg-3144	1469	18	as	as	ADP
fuelectenerg-3144	1469	19	part	part	NOUN
fuelectenerg-3144	1469	20	of	of	ADP
fuelectenerg-3144	1469	21	a	a	DET
fuelectenerg-3144	1469	22	quantum	quantum	ADJ
fuelectenerg-3144	1469	23	oracle	oracle	NOUN
fuelectenerg-3144	1469	24	.	.	PUNCT
fuelectenerg-3144	1470	1	such	such	ADJ
fuelectenerg-3144	1470	2	oracles	oracle	NOUN
fuelectenerg-3144	1470	3	check	check	VERB
fuelectenerg-3144	1470	4	whether	whether	SCONJ
fuelectenerg-3144	1470	5	the	the	DET
fuelectenerg-3144	1470	6	value	value	NOUN
fuelectenerg-3144	1470	7	of	of	ADP
fuelectenerg-3144	1470	8	a	a	DET
fuelectenerg-3144	1470	9	certain	certain	ADJ
fuelectenerg-3144	1470	10	function	function	NOUN
fuelectenerg-3144	1470	11	(	(	PUNCT
fuelectenerg-3144	1470	12	in	in	ADP
fuelectenerg-3144	1470	13	this	this	DET
fuelectenerg-3144	1470	14	case	case	NOUN
fuelectenerg-3144	1470	15	,	,	PUNCT
fuelectenerg-3144	1470	16	our	our	PRON
fuelectenerg-3144	1470	17	cost	cost	NOUN
fuelectenerg-3144	1470	18	function	function	NOUN
fuelectenerg-3144	1470	19	)	)	PUNCT
fuelectenerg-3144	1470	20	lies	lie	VERB
fuelectenerg-3144	1470	21	below	below	ADP
fuelectenerg-3144	1470	22	a	a	DET
fuelectenerg-3144	1470	23	given	give	VERB
fuelectenerg-3144	1470	24	threshold	threshold	NOUN
fuelectenerg-3144	1470	25	and	and	CCONJ
fuelectenerg-3144	1470	26	are	be	AUX
fuelectenerg-3144	1470	27	exactly	exactly	ADV
fuelectenerg-3144	1470	28	what	what	PRON
fuelectenerg-3144	1470	29	is	be	AUX
fuelectenerg-3144	1470	30	needed	need	VERB
fuelectenerg-3144	1470	31	to	to	PART
fuelectenerg-3144	1470	32	solve	solve	VERB
fuelectenerg-3144	1470	33	an	an	DET
fuelectenerg-3144	1470	34	optimization	optimization	NOUN
fuelectenerg-3144	1470	35	problem	problem	NOUN
fuelectenerg-3144	1470	36	using	use	VERB
fuelectenerg-3144	1470	37	the	the	DET
fuelectenerg-3144	1470	38	procedure	procedure	NOUN
fuelectenerg-3144	1470	39	described	describe	VERB
fuelectenerg-3144	1470	40	in	in	ADP
fuelectenerg-3144	1470	41	section	section	NOUN
fuelectenerg-3144	1470	42	3.2	3.2	NUM
fuelectenerg-3144	1470	43	.	.	PUNCT
fuelectenerg-3144	1471	1	the	the	DET
fuelectenerg-3144	1471	2	use	use	NOUN
fuelectenerg-3144	1471	3	of	of	ADP
fuelectenerg-3144	1471	4	quantum	quantum	ADJ
fuelectenerg-3144	1471	5	counters	counter	NOUN
fuelectenerg-3144	1471	6	and	and	CCONJ
fuelectenerg-3144	1471	7	threshold	threshold	NOUN
fuelectenerg-3144	1471	8	circuits	circuit	NOUN
fuelectenerg-3144	1471	9	in	in	ADP
fuelectenerg-3144	1471	10	quantum	quantum	ADJ
fuelectenerg-3144	1471	11	oracles	oracle	NOUN
fuelectenerg-3144	1471	12	is	be	AUX
fuelectenerg-3144	1471	13	not	not	PART
fuelectenerg-3144	1471	14	limited	limit	VERB
fuelectenerg-3144	1471	15	to	to	ADP
fuelectenerg-3144	1471	16	solving	solve	VERB
fuelectenerg-3144	1471	17	the	the	DET
fuelectenerg-3144	1471	18	fsm	fsm	PROPN
fuelectenerg-3144	1471	19	encoding	encoding	NOUN
fuelectenerg-3144	1471	20	problem	problem	NOUN
fuelectenerg-3144	1471	21	.	.	PUNCT
fuelectenerg-3144	1472	1	it	it	PRON
fuelectenerg-3144	1472	2	can	can	AUX
fuelectenerg-3144	1472	3	be	be	AUX
fuelectenerg-3144	1472	4	applied	apply	VERB
fuelectenerg-3144	1472	5	to	to	ADP
fuelectenerg-3144	1472	6	many	many	ADJ
fuelectenerg-3144	1472	7	other	other	ADJ
fuelectenerg-3144	1472	8	optimization	optimization	NOUN
fuelectenerg-3144	1472	9	problems	problem	NOUN
fuelectenerg-3144	1472	10	such	such	ADJ
fuelectenerg-3144	1472	11	as	as	ADP
fuelectenerg-3144	1472	12	maxsat	maxsat	ADJ
fuelectenerg-3144	1472	13	,	,	PUNCT
fuelectenerg-3144	1472	14	in	in	ADP
fuelectenerg-3144	1472	15	which	which	PRON
fuelectenerg-3144	1472	16	the	the	DET
fuelectenerg-3144	1472	17	objective	objective	NOUN
fuelectenerg-3144	1472	18	is	be	AUX
fuelectenerg-3144	1472	19	to	to	PART
fuelectenerg-3144	1472	20	satisfy	satisfy	VERB
fuelectenerg-3144	1472	21	as	as	ADP
fuelectenerg-3144	1472	22	many	many	ADJ
fuelectenerg-3144	1472	23	terms	term	NOUN
fuelectenerg-3144	1472	24	of	of	ADP
fuelectenerg-3144	1472	25	a	a	DET
fuelectenerg-3144	1472	26	boolean	boolean	ADJ
fuelectenerg-3144	1472	27	expression	expression	NOUN
fuelectenerg-3144	1472	28	as	as	ADP
fuelectenerg-3144	1472	29	possible	possible	ADJ
fuelectenerg-3144	1472	30	.	.	PUNCT
fuelectenerg-3144	1473	1	we	we	PRON
fuelectenerg-3144	1473	2	compared	compare	VERB
fuelectenerg-3144	1473	3	the	the	DET
fuelectenerg-3144	1473	4	run	run	NOUN
fuelectenerg-3144	1473	5	time	time	NOUN
fuelectenerg-3144	1473	6	complexity	complexity	NOUN
fuelectenerg-3144	1473	7	of	of	ADP
fuelectenerg-3144	1473	8	the	the	DET
fuelectenerg-3144	1473	9	proposed	propose	VERB
fuelectenerg-3144	1473	10	quantum	quantum	NOUN
fuelectenerg-3144	1473	11	algorithm	algorithm	NOUN
fuelectenerg-3144	1473	12	against	against	ADP
fuelectenerg-3144	1473	13	that	that	PRON
fuelectenerg-3144	1473	14	of	of	ADP
fuelectenerg-3144	1473	15	the	the	DET
fuelectenerg-3144	1473	16	analogous	analogous	ADJ
fuelectenerg-3144	1473	17	exhaustive	exhaustive	ADJ
fuelectenerg-3144	1473	18	search	search	NOUN
fuelectenerg-3144	1473	19	-	-	PUNCT
fuelectenerg-3144	1473	20	based	base	VERB
fuelectenerg-3144	1473	21	classical	classical	ADJ
fuelectenerg-3144	1473	22	44	44	NUM
fuelectenerg-3144	1473	23	algorithm	algorithm	NOUN
fuelectenerg-3144	1473	24	.	.	PUNCT
fuelectenerg-3144	1474	1	this	this	DET
fuelectenerg-3144	1474	2	analysis	analysis	NOUN
fuelectenerg-3144	1474	3	does	do	AUX
fuelectenerg-3144	1474	4	not	not	PART
fuelectenerg-3144	1474	5	tell	tell	VERB
fuelectenerg-3144	1474	6	us	we	PRON
fuelectenerg-3144	1474	7	the	the	DET
fuelectenerg-3144	1474	8	absolute	absolute	ADJ
fuelectenerg-3144	1474	9	run	run	NOUN
fuelectenerg-3144	1474	10	times	time	NOUN
fuelectenerg-3144	1474	11	of	of	ADP
fuelectenerg-3144	1474	12	either	either	DET
fuelectenerg-3144	1474	13	algorithm	algorithm	NOUN
fuelectenerg-3144	1474	14	,	,	PUNCT
fuelectenerg-3144	1474	15	as	as	SCONJ
fuelectenerg-3144	1474	16	calculating	calculate	VERB
fuelectenerg-3144	1474	17	such	such	ADJ
fuelectenerg-3144	1474	18	would	would	AUX
fuelectenerg-3144	1474	19	require	require	VERB
fuelectenerg-3144	1474	20	much	much	ADV
fuelectenerg-3144	1474	21	more	more	ADV
fuelectenerg-3144	1474	22	detailed	detailed	ADJ
fuelectenerg-3144	1474	23	information	information	NOUN
fuelectenerg-3144	1474	24	regarding	regard	VERB
fuelectenerg-3144	1474	25	the	the	DET
fuelectenerg-3144	1474	26	precise	precise	ADJ
fuelectenerg-3144	1474	27	specifications	specification	NOUN
fuelectenerg-3144	1474	28	of	of	ADP
fuelectenerg-3144	1474	29	the	the	DET
fuelectenerg-3144	1474	30	quantum	quantum	ADJ
fuelectenerg-3144	1474	31	and	and	CCONJ
fuelectenerg-3144	1474	32	classical	classical	ADJ
fuelectenerg-3144	1474	33	computers	computer	NOUN
fuelectenerg-3144	1474	34	being	be	AUX
fuelectenerg-3144	1474	35	used	use	VERB
fuelectenerg-3144	1474	36	.	.	PUNCT
fuelectenerg-3144	1475	1	nevertheless	nevertheless	ADV
fuelectenerg-3144	1475	2	,	,	PUNCT
fuelectenerg-3144	1475	3	the	the	DET
fuelectenerg-3144	1475	4	comparison	comparison	NOUN
fuelectenerg-3144	1475	5	of	of	ADP
fuelectenerg-3144	1475	6	run	run	NOUN
fuelectenerg-3144	1475	7	time	time	NOUN
fuelectenerg-3144	1475	8	complexities	complexity	NOUN
fuelectenerg-3144	1475	9	provides	provide	VERB
fuelectenerg-3144	1475	10	strong	strong	ADJ
fuelectenerg-3144	1475	11	evidence	evidence	NOUN
fuelectenerg-3144	1475	12	that	that	SCONJ
fuelectenerg-3144	1475	13	the	the	DET
fuelectenerg-3144	1475	14	quantum	quantum	ADJ
fuelectenerg-3144	1475	15	algorithm	algorithm	NOUN
fuelectenerg-3144	1475	16	can	can	AUX
fuelectenerg-3144	1475	17	significantly	significantly	ADV
fuelectenerg-3144	1475	18	outperform	outperform	VERB
fuelectenerg-3144	1475	19	the	the	DET
fuelectenerg-3144	1475	20	classical	classical	ADJ
fuelectenerg-3144	1475	21	algorithm	algorithm	NOUN
fuelectenerg-3144	1475	22	for	for	ADP
fuelectenerg-3144	1475	23	fsms	fsm	NOUN
fuelectenerg-3144	1475	24	of	of	ADP
fuelectenerg-3144	1475	25	reasonable	reasonable	ADJ
fuelectenerg-3144	1475	26	size	size	NOUN
fuelectenerg-3144	1475	27	that	that	PRON
fuelectenerg-3144	1475	28	might	might	AUX
fuelectenerg-3144	1475	29	be	be	AUX
fuelectenerg-3144	1475	30	encountered	encounter	VERB
fuelectenerg-3144	1475	31	in	in	ADP
fuelectenerg-3144	1475	32	practice	practice	NOUN
fuelectenerg-3144	1475	33	.	.	PUNCT
fuelectenerg-3144	1476	1	in	in	ADP
fuelectenerg-3144	1476	2	addition	addition	NOUN
fuelectenerg-3144	1476	3	,	,	PUNCT
fuelectenerg-3144	1476	4	our	our	PRON
fuelectenerg-3144	1476	5	work	work	NOUN
fuelectenerg-3144	1476	6	may	may	AUX
fuelectenerg-3144	1476	7	serve	serve	VERB
fuelectenerg-3144	1476	8	as	as	ADP
fuelectenerg-3144	1476	9	the	the	DET
fuelectenerg-3144	1476	10	basis	basis	NOUN
fuelectenerg-3144	1476	11	for	for	ADP
fuelectenerg-3144	1476	12	further	further	ADJ
fuelectenerg-3144	1476	13	investigation	investigation	NOUN
fuelectenerg-3144	1476	14	in	in	ADP
fuelectenerg-3144	1476	15	a	a	DET
fuelectenerg-3144	1476	16	number	number	NOUN
fuelectenerg-3144	1476	17	of	of	ADP
fuelectenerg-3144	1476	18	different	different	ADJ
fuelectenerg-3144	1476	19	directions	direction	NOUN
fuelectenerg-3144	1476	20	.	.	PUNCT
fuelectenerg-3144	1477	1	we	we	PRON
fuelectenerg-3144	1477	2	leave	leave	VERB
fuelectenerg-3144	1477	3	these	these	DET
fuelectenerg-3144	1477	4	possibilities	possibility	NOUN
fuelectenerg-3144	1477	5	open	open	ADJ
fuelectenerg-3144	1477	6	to	to	ADP
fuelectenerg-3144	1477	7	future	future	ADJ
fuelectenerg-3144	1477	8	exploration	exploration	NOUN
fuelectenerg-3144	1477	9	.	.	PUNCT
fuelectenerg-3144	1478	1	among	among	ADP
fuelectenerg-3144	1478	2	them	they	PRON
fuelectenerg-3144	1478	3	,	,	PUNCT
fuelectenerg-3144	1478	4	the	the	DET
fuelectenerg-3144	1478	5	most	most	ADV
fuelectenerg-3144	1478	6	promising	promising	ADJ
fuelectenerg-3144	1478	7	include	include	NOUN
fuelectenerg-3144	1478	8	:	:	PUNCT
fuelectenerg-3144	1478	9	incompletely	incompletely	ADV
fuelectenerg-3144	1478	10	specified	specify	VERB
fuelectenerg-3144	1478	11	transition	transition	NOUN
fuelectenerg-3144	1478	12	functions	function	NOUN
fuelectenerg-3144	1478	13	—	—	PUNCT
fuelectenerg-3144	1478	14	a	a	DET
fuelectenerg-3144	1478	15	significant	significant	ADJ
fuelectenerg-3144	1478	16	limitation	limitation	NOUN
fuelectenerg-3144	1478	17	of	of	ADP
fuelectenerg-3144	1478	18	our	our	PRON
fuelectenerg-3144	1478	19	method	method	NOUN
fuelectenerg-3144	1478	20	is	be	AUX
fuelectenerg-3144	1478	21	that	that	SCONJ
fuelectenerg-3144	1478	22	it	it	PRON
fuelectenerg-3144	1478	23	requires	require	VERB
fuelectenerg-3144	1478	24	all	all	PRON
fuelectenerg-3144	1478	25	encoded	encode	VERB
fuelectenerg-3144	1478	26	transition	transition	NOUN
fuelectenerg-3144	1478	27	functions	function	NOUN
fuelectenerg-3144	1478	28	to	to	PART
fuelectenerg-3144	1478	29	be	be	AUX
fuelectenerg-3144	1478	30	completely	completely	ADV
fuelectenerg-3144	1478	31	specified	specify	VERB
fuelectenerg-3144	1478	32	,	,	PUNCT
fuelectenerg-3144	1478	33	which	which	PRON
fuelectenerg-3144	1478	34	means	mean	VERB
fuelectenerg-3144	1478	35	that	that	SCONJ
fuelectenerg-3144	1478	36	it	it	PRON
fuelectenerg-3144	1478	37	is	be	AUX
fuelectenerg-3144	1478	38	only	only	ADV
fuelectenerg-3144	1478	39	applicable	applicable	ADJ
fuelectenerg-3144	1478	40	to	to	PART
fuelectenerg-3144	1478	41	fsms	fsm	VERB
fuelectenerg-3144	1478	42	with	with	ADP
fuelectenerg-3144	1478	43	a	a	DET
fuelectenerg-3144	1478	44	number	number	NOUN
fuelectenerg-3144	1478	45	of	of	ADP
fuelectenerg-3144	1478	46	states	state	NOUN
fuelectenerg-3144	1478	47	that	that	PRON
fuelectenerg-3144	1478	48	is	be	AUX
fuelectenerg-3144	1478	49	a	a	DET
fuelectenerg-3144	1478	50	power	power	NOUN
fuelectenerg-3144	1478	51	of	of	ADP
fuelectenerg-3144	1478	52	two	two	NUM
fuelectenerg-3144	1478	53	.	.	PUNCT
fuelectenerg-3144	1479	1	extending	extend	VERB
fuelectenerg-3144	1479	2	our	our	PRON
fuelectenerg-3144	1479	3	method	method	NOUN
fuelectenerg-3144	1479	4	for	for	ADP
fuelectenerg-3144	1479	5	encoded	encode	VERB
fuelectenerg-3144	1479	6	transition	transition	NOUN
fuelectenerg-3144	1479	7	functions	function	NOUN
fuelectenerg-3144	1479	8	that	that	PRON
fuelectenerg-3144	1479	9	are	be	AUX
fuelectenerg-3144	1479	10	incompletely	incompletely	ADV
fuelectenerg-3144	1479	11	specified	specify	VERB
fuelectenerg-3144	1479	12	would	would	AUX
fuelectenerg-3144	1479	13	allow	allow	VERB
fuelectenerg-3144	1479	14	it	it	PRON
fuelectenerg-3144	1479	15	to	to	PART
fuelectenerg-3144	1479	16	apply	apply	VERB
fuelectenerg-3144	1479	17	to	to	ADP
fuelectenerg-3144	1479	18	all	all	DET
fuelectenerg-3144	1479	19	fsms	fsm	NOUN
fuelectenerg-3144	1479	20	.	.	PUNCT
fuelectenerg-3144	1480	1	output	output	NOUN
fuelectenerg-3144	1480	2	encodings	encoding	NOUN
fuelectenerg-3144	1480	3	—	—	PUNCT
fuelectenerg-3144	1480	4	in	in	ADP
fuelectenerg-3144	1480	5	a	a	DET
fuelectenerg-3144	1480	6	realistic	realistic	ADJ
fuelectenerg-3144	1480	7	digital	digital	ADJ
fuelectenerg-3144	1480	8	logic	logic	NOUN
fuelectenerg-3144	1480	9	design	design	NOUN
fuelectenerg-3144	1480	10	scenario	scenario	NOUN
fuelectenerg-3144	1480	11	,	,	PUNCT
fuelectenerg-3144	1480	12	the	the	DET
fuelectenerg-3144	1480	13	outputs	output	NOUN
fuelectenerg-3144	1480	14	of	of	ADP
fuelectenerg-3144	1480	15	a	a	DET
fuelectenerg-3144	1480	16	state	state	NOUN
fuelectenerg-3144	1480	17	machine	machine	NOUN
fuelectenerg-3144	1480	18	of	of	ADP
fuelectenerg-3144	1480	19	course	course	NOUN
fuelectenerg-3144	1480	20	can	can	AUX
fuelectenerg-3144	1480	21	not	not	PART
fuelectenerg-3144	1480	22	be	be	AUX
fuelectenerg-3144	1480	23	ignored	ignore	VERB
fuelectenerg-3144	1480	24	.	.	PUNCT
fuelectenerg-3144	1481	1	we	we	PRON
fuelectenerg-3144	1481	2	believe	believe	VERB
fuelectenerg-3144	1481	3	that	that	SCONJ
fuelectenerg-3144	1481	4	the	the	DET
fuelectenerg-3144	1481	5	methods	method	NOUN
fuelectenerg-3144	1481	6	presented	present	VERB
fuelectenerg-3144	1481	7	here	here	ADV
fuelectenerg-3144	1481	8	can	can	AUX
fuelectenerg-3144	1481	9	,	,	PUNCT
fuelectenerg-3144	1481	10	without	without	ADP
fuelectenerg-3144	1481	11	too	too	ADV
fuelectenerg-3144	1481	12	much	much	ADJ
fuelectenerg-3144	1481	13	difficulty	difficulty	NOUN
fuelectenerg-3144	1481	14	,	,	PUNCT
fuelectenerg-3144	1481	15	be	be	AUX
fuelectenerg-3144	1481	16	extended	extend	VERB
fuelectenerg-3144	1481	17	to	to	ADP
fuelectenerg-3144	1481	18	the	the	DET
fuelectenerg-3144	1481	19	problem	problem	NOUN
fuelectenerg-3144	1481	20	of	of	ADP
fuelectenerg-3144	1481	21	encoding	encode	VERB
fuelectenerg-3144	1481	22	outputs	output	NOUN
fuelectenerg-3144	1481	23	of	of	ADP
fuelectenerg-3144	1481	24	fsms	fsm	NOUN
fuelectenerg-3144	1481	25	as	as	ADV
fuelectenerg-3144	1481	26	well	well	ADV
fuelectenerg-3144	1481	27	.	.	PUNCT
fuelectenerg-3144	1482	1	such	such	DET
fuelectenerg-3144	1482	2	an	an	DET
fuelectenerg-3144	1482	3	extension	extension	NOUN
fuelectenerg-3144	1482	4	would	would	AUX
fuelectenerg-3144	1482	5	represent	represent	VERB
fuelectenerg-3144	1482	6	the	the	DET
fuelectenerg-3144	1482	7	first	first	ADJ
fuelectenerg-3144	1482	8	quantum	quantum	ADJ
fuelectenerg-3144	1482	9	algorithm	algorithm	NOUN
fuelectenerg-3144	1482	10	to	to	PART
fuelectenerg-3144	1482	11	solve	solve	VERB
fuelectenerg-3144	1482	12	the	the	DET
fuelectenerg-3144	1482	13	fsm	fsm	PROPN
fuelectenerg-3144	1482	14	encoding	encoding	NOUN
fuelectenerg-3144	1482	15	problem	problem	NOUN
fuelectenerg-3144	1482	16	simultaneously	simultaneously	ADV
fuelectenerg-3144	1482	17	for	for	ADP
fuelectenerg-3144	1482	18	states	state	NOUN
fuelectenerg-3144	1482	19	,	,	PUNCT
fuelectenerg-3144	1482	20	inputs	input	NOUN
fuelectenerg-3144	1482	21	,	,	PUNCT
fuelectenerg-3144	1482	22	and	and	CCONJ
fuelectenerg-3144	1482	23	outputs	output	NOUN
fuelectenerg-3144	1482	24	.	.	PUNCT
fuelectenerg-3144	1483	1	a	a	DET
fuelectenerg-3144	1483	2	more	more	ADV
fuelectenerg-3144	1483	3	detailed	detailed	ADJ
fuelectenerg-3144	1483	4	cost	cost	NOUN
fuelectenerg-3144	1483	5	model	model	NOUN
fuelectenerg-3144	1483	6	—	—	PUNCT
fuelectenerg-3144	1483	7	we	we	PRON
fuelectenerg-3144	1483	8	used	use	VERB
fuelectenerg-3144	1483	9	a	a	DET
fuelectenerg-3144	1483	10	simple	simple	ADJ
fuelectenerg-3144	1483	11	cost	cost	NOUN
fuelectenerg-3144	1483	12	model	model	NOUN
fuelectenerg-3144	1483	13	which	which	PRON
fuelectenerg-3144	1483	14	only	only	ADV
fuelectenerg-3144	1483	15	takes	take	VERB
fuelectenerg-3144	1483	16	into	into	ADP
fuelectenerg-3144	1483	17	account	account	NOUN
fuelectenerg-3144	1483	18	the	the	DET
fuelectenerg-3144	1483	19	number	number	NOUN
fuelectenerg-3144	1483	20	of	of	ADP
fuelectenerg-3144	1483	21	dependencies	dependency	NOUN
fuelectenerg-3144	1483	22	of	of	ADP
fuelectenerg-3144	1483	23	each	each	DET
fuelectenerg-3144	1483	24	encoded	encode	VERB
fuelectenerg-3144	1483	25	transition	transition	NOUN
fuelectenerg-3144	1483	26	function	function	NOUN
fuelectenerg-3144	1483	27	on	on	ADP
fuelectenerg-3144	1483	28	state	state	NOUN
fuelectenerg-3144	1483	29	and	and	CCONJ
fuelectenerg-3144	1483	30	input	input	NOUN
fuelectenerg-3144	1483	31	variables	variable	NOUN
fuelectenerg-3144	1483	32	.	.	PUNCT
fuelectenerg-3144	1484	1	while	while	SCONJ
fuelectenerg-3144	1484	2	this	this	DET
fuelectenerg-3144	1484	3	simple	simple	ADJ
fuelectenerg-3144	1484	4	model	model	NOUN
fuelectenerg-3144	1484	5	possesses	possess	VERB
fuelectenerg-3144	1484	6	the	the	DET
fuelectenerg-3144	1484	7	advantage	advantage	NOUN
fuelectenerg-3144	1484	8	of	of	ADP
fuelectenerg-3144	1484	9	not	not	PART
fuelectenerg-3144	1484	10	being	be	AUX
fuelectenerg-3144	1484	11	closely	closely	ADV
fuelectenerg-3144	1484	12	tied	tie	VERB
fuelectenerg-3144	1484	13	to	to	ADP
fuelectenerg-3144	1484	14	a	a	DET
fuelectenerg-3144	1484	15	single	single	ADJ
fuelectenerg-3144	1484	16	digital	digital	ADJ
fuelectenerg-3144	1484	17	logic	logic	NOUN
fuelectenerg-3144	1484	18	implementation	implementation	NOUN
fuelectenerg-3144	1484	19	technology	technology	NOUN
fuelectenerg-3144	1484	20	,	,	PUNCT
fuelectenerg-3144	1484	21	it	it	PRON
fuelectenerg-3144	1484	22	is	be	AUX
fuelectenerg-3144	1484	23	still	still	ADV
fuelectenerg-3144	1484	24	clearly	clearly	ADV
fuelectenerg-3144	1484	25	desirable	desirable	ADJ
fuelectenerg-3144	1484	26	to	to	PART
fuelectenerg-3144	1484	27	extend	extend	VERB
fuelectenerg-3144	1484	28	our	our	PRON
fuelectenerg-3144	1484	29	method	method	NOUN
fuelectenerg-3144	1484	30	to	to	ADP
fuelectenerg-3144	1484	31	more	more	ADV
fuelectenerg-3144	1484	32	realistic	realistic	ADJ
fuelectenerg-3144	1484	33	cost	cost	NOUN
fuelectenerg-3144	1484	34	models	model	NOUN
fuelectenerg-3144	1484	35	that	that	PRON
fuelectenerg-3144	1484	36	take	take	VERB
fuelectenerg-3144	1484	37	into	into	ADP
fuelectenerg-3144	1484	38	account	account	NOUN
fuelectenerg-3144	1484	39	additional	additional	ADJ
fuelectenerg-3144	1484	40	factors	factor	NOUN
fuelectenerg-3144	1484	41	.	.	PUNCT
fuelectenerg-3144	1485	1	comparison	comparison	NOUN
fuelectenerg-3144	1485	2	of	of	ADP
fuelectenerg-3144	1485	3	threshold	threshold	NOUN
fuelectenerg-3144	1485	4	search	search	NOUN
fuelectenerg-3144	1485	5	strategies	strategy	NOUN
fuelectenerg-3144	1485	6	—	—	PUNCT
fuelectenerg-3144	1485	7	one	one	NUM
fuelectenerg-3144	1485	8	of	of	ADP
fuelectenerg-3144	1485	9	the	the	DET
fuelectenerg-3144	1485	10	key	key	ADJ
fuelectenerg-3144	1485	11	elements	element	NOUN
fuelectenerg-3144	1485	12	of	of	ADP
fuelectenerg-3144	1485	13	our	our	PRON
fuelectenerg-3144	1485	14	method	method	NOUN
fuelectenerg-3144	1485	15	is	be	AUX
fuelectenerg-3144	1485	16	the	the	DET
fuelectenerg-3144	1485	17	execution	execution	NOUN
fuelectenerg-3144	1485	18	of	of	ADP
fuelectenerg-3144	1485	19	grover	grover	PROPN
fuelectenerg-3144	1485	20	’s	’s	PART
fuelectenerg-3144	1485	21	algorithm	algorithm	PROPN
fuelectenerg-3144	1485	22	multiple	multiple	ADJ
fuelectenerg-3144	1485	23	times	time	NOUN
fuelectenerg-3144	1485	24	with	with	ADP
fuelectenerg-3144	1485	25	a	a	DET
fuelectenerg-3144	1485	26	sequence	sequence	NOUN
fuelectenerg-3144	1485	27	of	of	ADP
fuelectenerg-3144	1485	28	quantum	quantum	ADJ
fuelectenerg-3144	1485	29	oracles	oracle	NOUN
fuelectenerg-3144	1485	30	generated	generate	VERB
fuelectenerg-3144	1485	31	for	for	ADP
fuelectenerg-3144	1485	32	different	different	ADJ
fuelectenerg-3144	1485	33	thresholds	threshold	NOUN
fuelectenerg-3144	1485	34	as	as	SCONJ
fuelectenerg-3144	1485	35	described	describe	VERB
fuelectenerg-3144	1485	36	in	in	ADP
fuelectenerg-3144	1485	37	section	section	NOUN
fuelectenerg-3144	1485	38	3.2	3.2	NUM
fuelectenerg-3144	1485	39	.	.	PUNCT
fuelectenerg-3144	1486	1	we	we	PRON
fuelectenerg-3144	1486	2	did	do	AUX
fuelectenerg-3144	1486	3	not	not	PART
fuelectenerg-3144	1486	4	attempt	attempt	VERB
fuelectenerg-3144	1486	5	to	to	PART
fuelectenerg-3144	1486	6	compare	compare	VERB
fuelectenerg-3144	1486	7	different	different	ADJ
fuelectenerg-3144	1486	8	strategies	strategy	NOUN
fuelectenerg-3144	1486	9	for	for	ADP
fuelectenerg-3144	1486	10	varying	vary	VERB
fuelectenerg-3144	1486	11	the	the	DET
fuelectenerg-3144	1486	12	threshold	threshold	NOUN
fuelectenerg-3144	1486	13	.	.	PUNCT
fuelectenerg-3144	1487	1	such	such	DET
fuelectenerg-3144	1487	2	a	a	DET
fuelectenerg-3144	1487	3	comparison	comparison	NOUN
fuelectenerg-3144	1487	4	could	could	AUX
fuelectenerg-3144	1487	5	significantly	significantly	ADV
fuelectenerg-3144	1487	6	improve	improve	VERB
fuelectenerg-3144	1487	7	our	our	PRON
fuelectenerg-3144	1487	8	algorithm	algorithm	NOUN
fuelectenerg-3144	1487	9	,	,	PUNCT
fuelectenerg-3144	1487	10	because	because	SCONJ
fuelectenerg-3144	1487	11	the	the	DET
fuelectenerg-3144	1487	12	selected	select	VERB
fuelectenerg-3144	1487	13	strategy	strategy	NOUN
fuelectenerg-3144	1487	14	affects	affect	VERB
fuelectenerg-3144	1487	15	the	the	DET
fuelectenerg-3144	1487	16	expected	expect	VERB
fuelectenerg-3144	1487	17	number	number	NOUN
fuelectenerg-3144	1487	18	of	of	ADP
fuelectenerg-3144	1487	19	grover	grover	NOUN
fuelectenerg-3144	1487	20	runs	run	NOUN
fuelectenerg-3144	1487	21	needed	need	VERB
fuelectenerg-3144	1487	22	to	to	PART
fuelectenerg-3144	1487	23	find	find	VERB
fuelectenerg-3144	1487	24	the	the	DET
fuelectenerg-3144	1487	25	minimum	minimum	ADJ
fuelectenerg-3144	1487	26	possible	possible	ADJ
fuelectenerg-3144	1487	27	threshold	threshold	NOUN
fuelectenerg-3144	1487	28	,	,	PUNCT
fuelectenerg-3144	1487	29	which	which	PRON
fuelectenerg-3144	1487	30	in	in	ADP
fuelectenerg-3144	1487	31	turn	turn	NOUN
fuelectenerg-3144	1487	32	affects	affect	VERB
fuelectenerg-3144	1487	33	the	the	DET
fuelectenerg-3144	1487	34	run	run	ADJ
fuelectenerg-3144	1487	35	time	time	NOUN
fuelectenerg-3144	1487	36	of	of	ADP
fuelectenerg-3144	1487	37	our	our	PRON
fuelectenerg-3144	1487	38	entire	entire	ADJ
fuelectenerg-3144	1487	39	algorithm	algorithm	NOUN
fuelectenerg-3144	1487	40	.	.	PUNCT
fuelectenerg-3144	1488	1	an	an	DET
fuelectenerg-3144	1488	2	analysis	analysis	NOUN
fuelectenerg-3144	1488	3	of	of	ADP
fuelectenerg-3144	1488	4	threshold	threshold	NOUN
fuelectenerg-3144	1488	5	search	search	NOUN
fuelectenerg-3144	1488	6	strategies	strategy	NOUN
fuelectenerg-3144	1488	7	would	would	AUX
fuelectenerg-3144	1488	8	also	also	ADV
fuelectenerg-3144	1488	9	be	be	AUX
fuelectenerg-3144	1488	10	applicable	applicable	ADJ
fuelectenerg-3144	1488	11	to	to	ADP
fuelectenerg-3144	1488	12	problems	problem	NOUN
fuelectenerg-3144	1488	13	other	other	ADJ
fuelectenerg-3144	1488	14	than	than	ADP
fuelectenerg-3144	1488	15	fsm	fsm	PROPN
fuelectenerg-3144	1488	16	encoding	encoding	NOUN
fuelectenerg-3144	1488	17	(	(	PUNCT
fuelectenerg-3144	1488	18	see	see	VERB
fuelectenerg-3144	1488	19	also	also	ADV
fuelectenerg-3144	1488	20	the	the	DET
fuelectenerg-3144	1488	21	following	follow	VERB
fuelectenerg-3144	1488	22	paragraph	paragraph	NOUN
fuelectenerg-3144	1488	23	)	)	PUNCT
fuelectenerg-3144	1488	24	.	.	PUNCT
fuelectenerg-3144	1489	1	application	application	NOUN
fuelectenerg-3144	1489	2	to	to	ADP
fuelectenerg-3144	1489	3	other	other	ADJ
fuelectenerg-3144	1489	4	problems	problem	NOUN
fuelectenerg-3144	1489	5	—	—	PUNCT
fuelectenerg-3144	1489	6	as	as	SCONJ
fuelectenerg-3144	1489	7	mentioned	mention	VERB
fuelectenerg-3144	1489	8	before	before	ADV
fuelectenerg-3144	1489	9	,	,	PUNCT
fuelectenerg-3144	1489	10	the	the	DET
fuelectenerg-3144	1489	11	principle	principle	NOUN
fuelectenerg-3144	1489	12	of	of	ADP
fuelectenerg-3144	1489	13	solving	solve	VERB
fuelectenerg-3144	1489	14	an	an	DET
fuelectenerg-3144	1489	15	optimization	optimization	NOUN
fuelectenerg-3144	1489	16	problem	problem	NOUN
fuelectenerg-3144	1489	17	by	by	ADP
fuelectenerg-3144	1489	18	running	run	VERB
fuelectenerg-3144	1489	19	grover	grover	NOUN
fuelectenerg-3144	1489	20	’s	’s	PART
fuelectenerg-3144	1489	21	algorithm	algorithm	NOUN
fuelectenerg-3144	1489	22	multiple	multiple	ADJ
fuelectenerg-3144	1489	23	times	time	NOUN
fuelectenerg-3144	1489	24	using	use	VERB
fuelectenerg-3144	1489	25	a	a	DET
fuelectenerg-3144	1489	26	sequence	sequence	NOUN
fuelectenerg-3144	1489	27	of	of	ADP
fuelectenerg-3144	1489	28	quantum	quantum	ADJ
fuelectenerg-3144	1489	29	oracles	oracle	NOUN
fuelectenerg-3144	1489	30	can	can	AUX
fuelectenerg-3144	1489	31	be	be	AUX
fuelectenerg-3144	1489	32	applied	apply	VERB
fuelectenerg-3144	1489	33	to	to	ADP
fuelectenerg-3144	1489	34	other	other	ADJ
fuelectenerg-3144	1489	35	problems	problem	NOUN
fuelectenerg-3144	1489	36	.	.	PUNCT
fuelectenerg-3144	1490	1	one	one	NUM
fuelectenerg-3144	1490	2	such	such	ADJ
fuelectenerg-3144	1490	3	problem	problem	NOUN
fuelectenerg-3144	1490	4	,	,	PUNCT
fuelectenerg-3144	1490	5	for	for	ADP
fuelectenerg-3144	1490	6	example	example	NOUN
fuelectenerg-3144	1490	7	,	,	PUNCT
fuelectenerg-3144	1490	8	is	be	AUX
fuelectenerg-3144	1490	9	maxsat	maxsat	ADJ
fuelectenerg-3144	1490	10	,	,	PUNCT
fuelectenerg-3144	1490	11	where	where	SCONJ
fuelectenerg-3144	1490	12	the	the	DET
fuelectenerg-3144	1490	13	objective	objective	NOUN
fuelectenerg-3144	1490	14	is	be	AUX
fuelectenerg-3144	1490	15	to	to	PART
fuelectenerg-3144	1490	16	maximize	maximize	VERB
fuelectenerg-3144	1490	17	the	the	DET
fuelectenerg-3144	1490	18	number	number	NOUN
fuelectenerg-3144	1490	19	of	of	ADP
fuelectenerg-3144	1490	20	simultaneously	simultaneously	ADV
fuelectenerg-3144	1490	21	satisfied	satisfied	ADJ
fuelectenerg-3144	1490	22	clauses	clause	NOUN
fuelectenerg-3144	1490	23	in	in	ADP
fuelectenerg-3144	1490	24	a	a	DET
fuelectenerg-3144	1490	25	boolean	boolean	ADJ
fuelectenerg-3144	1490	26	formula	formula	NOUN
fuelectenerg-3144	1490	27	expressed	express	VERB
fuelectenerg-3144	1490	28	in	in	ADP
fuelectenerg-3144	1490	29	conjunctive	conjunctive	ADJ
fuelectenerg-3144	1490	30	normal	normal	ADJ
fuelectenerg-3144	1490	31	form	form	NOUN
fuelectenerg-3144	1490	32	.	.	PUNCT
fuelectenerg-3144	1491	1	further	further	ADJ
fuelectenerg-3144	1491	2	investigation	investigation	NOUN
fuelectenerg-3144	1491	3	into	into	ADP
fuelectenerg-3144	1491	4	this	this	PRON
fuelectenerg-3144	1491	5	and	and	CCONJ
fuelectenerg-3144	1491	6	other	other	ADJ
fuelectenerg-3144	1491	7	such	such	ADJ
fuelectenerg-3144	1491	8	problems	problem	NOUN
fuelectenerg-3144	1491	9	would	would	AUX
fuelectenerg-3144	1491	10	greatly	greatly	ADV
fuelectenerg-3144	1491	11	increase	increase	VERB
fuelectenerg-3144	1491	12	the	the	DET
fuelectenerg-3144	1491	13	generality	generality	NOUN
fuelectenerg-3144	1491	14	of	of	ADP
fuelectenerg-3144	1491	15	the	the	DET
fuelectenerg-3144	1491	16	method	method	NOUN
fuelectenerg-3144	1491	17	presented	present	VERB
fuelectenerg-3144	1491	18	here	here	ADV
fuelectenerg-3144	1491	19	.	.	PUNCT
fuelectenerg-3144	1492	1	45	45	NUM
fuelectenerg-3144	1492	2	212	212	NUM
fuelectenerg-3144	1492	3	e.	e.	PROPN
fuelectenerg-3144	1492	4	tsai	tsai	PROPN
fuelectenerg-3144	1492	5	,	,	PUNCT
fuelectenerg-3144	1492	6	m.	m.	PROPN
fuelectenerg-3144	1492	7	perkowski	perkowski	PROPN
fuelectenerg-3144	1492	8	a	a	DET
fuelectenerg-3144	1492	9	quantum	quantum	ADJ
fuelectenerg-3144	1492	10	algorithm	algorithm	NOUN
fuelectenerg-3144	1492	11	for	for	ADP
fuelectenerg-3144	1492	12	automata	automata	NOUN
fuelectenerg-3144	1492	13	encoding	encode	VERB
fuelectenerg-3144	1492	14	213	213	NUM
fuelectenerg-3144	1492	15	7	7	NUM
fuelectenerg-3144	1492	16	conclusion	conclusion	NOUN
fuelectenerg-3144	1492	17	we	we	PRON
fuelectenerg-3144	1492	18	presented	present	VERB
fuelectenerg-3144	1492	19	a	a	DET
fuelectenerg-3144	1492	20	quantum	quantum	ADJ
fuelectenerg-3144	1492	21	algorithm	algorithm	NOUN
fuelectenerg-3144	1492	22	for	for	ADP
fuelectenerg-3144	1492	23	finding	find	VERB
fuelectenerg-3144	1492	24	an	an	DET
fuelectenerg-3144	1492	25	exact	exact	ADJ
fuelectenerg-3144	1492	26	solution	solution	NOUN
fuelectenerg-3144	1492	27	to	to	ADP
fuelectenerg-3144	1492	28	the	the	DET
fuelectenerg-3144	1492	29	problem	problem	NOUN
fuelectenerg-3144	1492	30	of	of	ADP
fuelectenerg-3144	1492	31	encoding	encode	VERB
fuelectenerg-3144	1492	32	a	a	DET
fuelectenerg-3144	1492	33	finite	finite	ADJ
fuelectenerg-3144	1492	34	state	state	NOUN
fuelectenerg-3144	1492	35	machine	machine	NOUN
fuelectenerg-3144	1492	36	with	with	ADP
fuelectenerg-3144	1492	37	the	the	DET
fuelectenerg-3144	1492	38	lowest	low	ADJ
fuelectenerg-3144	1492	39	cost	cost	NOUN
fuelectenerg-3144	1492	40	possible	possible	ADJ
fuelectenerg-3144	1492	41	.	.	PUNCT
fuelectenerg-3144	1493	1	specifically	specifically	ADV
fuelectenerg-3144	1493	2	,	,	PUNCT
fuelectenerg-3144	1493	3	our	our	PRON
fuelectenerg-3144	1493	4	algorithm	algorithm	NOUN
fuelectenerg-3144	1493	5	finds	find	VERB
fuelectenerg-3144	1493	6	an	an	DET
fuelectenerg-3144	1493	7	optimal	optimal	ADJ
fuelectenerg-3144	1493	8	encoding	encoding	NOUN
fuelectenerg-3144	1493	9	for	for	ADP
fuelectenerg-3144	1493	10	any	any	DET
fuelectenerg-3144	1493	11	fsm	fsm	NOUN
fuelectenerg-3144	1493	12	with	with	ADP
fuelectenerg-3144	1493	13	numbers	number	NOUN
fuelectenerg-3144	1493	14	of	of	ADP
fuelectenerg-3144	1493	15	inputs	input	NOUN
fuelectenerg-3144	1493	16	and	and	CCONJ
fuelectenerg-3144	1493	17	states	state	NOUN
fuelectenerg-3144	1493	18	that	that	PRON
fuelectenerg-3144	1493	19	are	be	AUX
fuelectenerg-3144	1493	20	powers	power	NOUN
fuelectenerg-3144	1493	21	of	of	ADP
fuelectenerg-3144	1493	22	two	two	NUM
fuelectenerg-3144	1493	23	,	,	PUNCT
fuelectenerg-3144	1493	24	under	under	ADP
fuelectenerg-3144	1493	25	the	the	DET
fuelectenerg-3144	1493	26	assumptions	assumption	NOUN
fuelectenerg-3144	1493	27	that	that	SCONJ
fuelectenerg-3144	1493	28	the	the	DET
fuelectenerg-3144	1493	29	number	number	NOUN
fuelectenerg-3144	1493	30	of	of	ADP
fuelectenerg-3144	1493	31	state	state	NOUN
fuelectenerg-3144	1493	32	and	and	CCONJ
fuelectenerg-3144	1493	33	input	input	NOUN
fuelectenerg-3144	1493	34	variables	variable	NOUN
fuelectenerg-3144	1493	35	must	must	AUX
fuelectenerg-3144	1493	36	be	be	AUX
fuelectenerg-3144	1493	37	the	the	DET
fuelectenerg-3144	1493	38	smallest	small	ADJ
fuelectenerg-3144	1493	39	possible	possible	ADJ
fuelectenerg-3144	1493	40	and	and	CCONJ
fuelectenerg-3144	1493	41	that	that	SCONJ
fuelectenerg-3144	1493	42	the	the	DET
fuelectenerg-3144	1493	43	cost	cost	NOUN
fuelectenerg-3144	1493	44	of	of	ADP
fuelectenerg-3144	1493	45	an	an	DET
fuelectenerg-3144	1493	46	encoding	encoding	NOUN
fuelectenerg-3144	1493	47	is	be	AUX
fuelectenerg-3144	1493	48	given	give	VERB
fuelectenerg-3144	1493	49	by	by	ADP
fuelectenerg-3144	1493	50	the	the	DET
fuelectenerg-3144	1493	51	total	total	ADJ
fuelectenerg-3144	1493	52	number	number	NOUN
fuelectenerg-3144	1493	53	of	of	ADP
fuelectenerg-3144	1493	54	variables	variable	NOUN
fuelectenerg-3144	1493	55	on	on	ADP
fuelectenerg-3144	1493	56	which	which	PRON
fuelectenerg-3144	1493	57	the	the	DET
fuelectenerg-3144	1493	58	encoded	encode	VERB
fuelectenerg-3144	1493	59	transition	transition	NOUN
fuelectenerg-3144	1493	60	functions	function	NOUN
fuelectenerg-3144	1493	61	resulting	result	VERB
fuelectenerg-3144	1493	62	from	from	ADP
fuelectenerg-3144	1493	63	that	that	DET
fuelectenerg-3144	1493	64	encoding	encoding	NOUN
fuelectenerg-3144	1493	65	depend	depend	NOUN
fuelectenerg-3144	1493	66	.	.	PUNCT
fuelectenerg-3144	1494	1	our	our	PRON
fuelectenerg-3144	1494	2	algorithm	algorithm	NOUN
fuelectenerg-3144	1494	3	contains	contain	VERB
fuelectenerg-3144	1494	4	the	the	DET
fuelectenerg-3144	1494	5	following	follow	VERB
fuelectenerg-3144	1494	6	notable	notable	ADJ
fuelectenerg-3144	1494	7	features	feature	NOUN
fuelectenerg-3144	1494	8	:	:	PUNCT
fuelectenerg-3144	1495	1	1	1	X
fuelectenerg-3144	1495	2	.	.	X
fuelectenerg-3144	1496	1	it	it	PRON
fuelectenerg-3144	1496	2	uses	use	VERB
fuelectenerg-3144	1496	3	a	a	DET
fuelectenerg-3144	1496	4	quantum	quantum	ADJ
fuelectenerg-3144	1496	5	computer	computer	NOUN
fuelectenerg-3144	1496	6	with	with	ADP
fuelectenerg-3144	1496	7	grover	grover	PROPN
fuelectenerg-3144	1496	8	’s	’s	PART
fuelectenerg-3144	1496	9	algorithm	algorithm	NOUN
fuelectenerg-3144	1496	10	as	as	ADP
fuelectenerg-3144	1496	11	a	a	DET
fuelectenerg-3144	1496	12	subroutine	subroutine	NOUN
fuelectenerg-3144	1496	13	to	to	PART
fuelectenerg-3144	1496	14	perform	perform	VERB
fuelectenerg-3144	1496	15	exhaustive	exhaustive	ADJ
fuelectenerg-3144	1496	16	searches	search	NOUN
fuelectenerg-3144	1496	17	with	with	ADP
fuelectenerg-3144	1496	18	lower	low	ADJ
fuelectenerg-3144	1496	19	time	time	NOUN
fuelectenerg-3144	1496	20	complexity	complexity	NOUN
fuelectenerg-3144	1496	21	than	than	ADP
fuelectenerg-3144	1496	22	that	that	PRON
fuelectenerg-3144	1496	23	which	which	PRON
fuelectenerg-3144	1496	24	is	be	AUX
fuelectenerg-3144	1496	25	achievable	achievable	ADJ
fuelectenerg-3144	1496	26	using	use	VERB
fuelectenerg-3144	1496	27	a	a	DET
fuelectenerg-3144	1496	28	classical	classical	ADJ
fuelectenerg-3144	1496	29	computer	computer	NOUN
fuelectenerg-3144	1496	30	alone	alone	ADV
fuelectenerg-3144	1496	31	,	,	PUNCT
fuelectenerg-3144	1496	32	thus	thus	ADV
fuelectenerg-3144	1496	33	making	make	VERB
fuelectenerg-3144	1496	34	those	those	DET
fuelectenerg-3144	1496	35	exhaustive	exhaustive	ADJ
fuelectenerg-3144	1496	36	searches	search	NOUN
fuelectenerg-3144	1496	37	more	more	ADV
fuelectenerg-3144	1496	38	practical	practical	ADJ
fuelectenerg-3144	1496	39	.	.	PUNCT
fuelectenerg-3144	1497	1	little	little	ADJ
fuelectenerg-3144	1497	2	to	to	ADP
fuelectenerg-3144	1497	3	no	no	DET
fuelectenerg-3144	1497	4	published	publish	VERB
fuelectenerg-3144	1497	5	work	work	NOUN
fuelectenerg-3144	1497	6	exists	exist	VERB
fuelectenerg-3144	1497	7	on	on	ADP
fuelectenerg-3144	1497	8	the	the	DET
fuelectenerg-3144	1497	9	subject	subject	NOUN
fuelectenerg-3144	1497	10	of	of	ADP
fuelectenerg-3144	1497	11	applying	apply	VERB
fuelectenerg-3144	1497	12	grover	grover	NOUN
fuelectenerg-3144	1497	13	’s	’s	PART
fuelectenerg-3144	1497	14	algorithm	algorithm	NOUN
fuelectenerg-3144	1497	15	to	to	PART
fuelectenerg-3144	1497	16	directly	directly	ADV
fuelectenerg-3144	1497	17	solve	solve	VERB
fuelectenerg-3144	1497	18	a	a	DET
fuelectenerg-3144	1497	19	practically	practically	ADV
fuelectenerg-3144	1497	20	useful	useful	ADJ
fuelectenerg-3144	1497	21	problem	problem	NOUN
fuelectenerg-3144	1497	22	,	,	PUNCT
fuelectenerg-3144	1497	23	and	and	CCONJ
fuelectenerg-3144	1497	24	the	the	DET
fuelectenerg-3144	1497	25	present	present	ADJ
fuelectenerg-3144	1497	26	work	work	NOUN
fuelectenerg-3144	1497	27	is	be	AUX
fuelectenerg-3144	1497	28	the	the	DET
fuelectenerg-3144	1497	29	first	first	ADJ
fuelectenerg-3144	1497	30	to	to	PART
fuelectenerg-3144	1497	31	apply	apply	VERB
fuelectenerg-3144	1497	32	grover	grover	PROPN
fuelectenerg-3144	1497	33	’s	’s	PART
fuelectenerg-3144	1497	34	algorithm	algorithm	NOUN
fuelectenerg-3144	1497	35	to	to	ADP
fuelectenerg-3144	1497	36	the	the	DET
fuelectenerg-3144	1497	37	problem	problem	NOUN
fuelectenerg-3144	1497	38	of	of	ADP
fuelectenerg-3144	1497	39	finding	find	VERB
fuelectenerg-3144	1497	40	optimal	optimal	ADJ
fuelectenerg-3144	1497	41	encodings	encoding	NOUN
fuelectenerg-3144	1497	42	,	,	PUNCT
fuelectenerg-3144	1497	43	based	base	VERB
fuelectenerg-3144	1497	44	on	on	ADP
fuelectenerg-3144	1497	45	the	the	DET
fuelectenerg-3144	1497	46	simple	simple	ADJ
fuelectenerg-3144	1497	47	metric	metric	NOUN
fuelectenerg-3144	1497	48	of	of	ADP
fuelectenerg-3144	1497	49	dependencies	dependency	NOUN
fuelectenerg-3144	1497	50	for	for	ADP
fuelectenerg-3144	1497	51	completely	completely	ADV
fuelectenerg-3144	1497	52	specified	specify	VERB
fuelectenerg-3144	1497	53	finite	finite	ADJ
fuelectenerg-3144	1497	54	state	state	NOUN
fuelectenerg-3144	1497	55	machines	machine	NOUN
fuelectenerg-3144	1497	56	where	where	SCONJ
fuelectenerg-3144	1497	57	both	both	CCONJ
fuelectenerg-3144	1497	58	the	the	DET
fuelectenerg-3144	1497	59	number	number	NOUN
fuelectenerg-3144	1497	60	of	of	ADP
fuelectenerg-3144	1497	61	states	state	NOUN
fuelectenerg-3144	1497	62	and	and	CCONJ
fuelectenerg-3144	1497	63	the	the	DET
fuelectenerg-3144	1497	64	number	number	NOUN
fuelectenerg-3144	1497	65	of	of	ADP
fuelectenerg-3144	1497	66	input	input	NOUN
fuelectenerg-3144	1497	67	values	value	NOUN
fuelectenerg-3144	1497	68	are	be	AUX
fuelectenerg-3144	1497	69	a	a	DET
fuelectenerg-3144	1497	70	power	power	NOUN
fuelectenerg-3144	1497	71	of	of	ADP
fuelectenerg-3144	1497	72	2	2	NUM
fuelectenerg-3144	1497	73	.	.	NOUN
fuelectenerg-3144	1498	1	2	2	NUM
fuelectenerg-3144	1498	2	.	.	X
fuelectenerg-3144	1498	3	it	it	PRON
fuelectenerg-3144	1498	4	simultaneously	simultaneously	ADV
fuelectenerg-3144	1498	5	optimizes	optimize	VERB
fuelectenerg-3144	1498	6	both	both	DET
fuelectenerg-3144	1498	7	state	state	NOUN
fuelectenerg-3144	1498	8	and	and	CCONJ
fuelectenerg-3144	1498	9	input	input	NOUN
fuelectenerg-3144	1498	10	encodings	encoding	NOUN
fuelectenerg-3144	1498	11	for	for	ADP
fuelectenerg-3144	1498	12	an	an	DET
fuelectenerg-3144	1498	13	fsm	fsm	PROPN
fuelectenerg-3144	1498	14	.	.	PUNCT
fuelectenerg-3144	1499	1	currently	currently	ADV
fuelectenerg-3144	1499	2	,	,	PUNCT
fuelectenerg-3144	1499	3	[	[	X
fuelectenerg-3144	1499	4	12	12	NUM
fuelectenerg-3144	1499	5	]	]	PUNCT
fuelectenerg-3144	1499	6	is	be	AUX
fuelectenerg-3144	1499	7	the	the	DET
fuelectenerg-3144	1499	8	only	only	ADJ
fuelectenerg-3144	1499	9	other	other	ADJ
fuelectenerg-3144	1499	10	published	publish	VERB
fuelectenerg-3144	1499	11	method	method	NOUN
fuelectenerg-3144	1499	12	that	that	PRON
fuelectenerg-3144	1499	13	finds	find	VERB
fuelectenerg-3144	1499	14	exact	exact	ADJ
fuelectenerg-3144	1499	15	minimum	minimum	ADJ
fuelectenerg-3144	1499	16	solutions	solution	NOUN
fuelectenerg-3144	1499	17	;	;	PUNCT
fuelectenerg-3144	1499	18	however	however	ADV
fuelectenerg-3144	1499	19	,	,	PUNCT
fuelectenerg-3144	1499	20	[	[	X
fuelectenerg-3144	1499	21	12	12	NUM
fuelectenerg-3144	1499	22	]	]	PUNCT
fuelectenerg-3144	1499	23	only	only	ADV
fuelectenerg-3144	1499	24	solves	solve	VERB
fuelectenerg-3144	1499	25	the	the	DET
fuelectenerg-3144	1499	26	problem	problem	NOUN
fuelectenerg-3144	1499	27	of	of	ADP
fuelectenerg-3144	1499	28	state	state	NOUN
fuelectenerg-3144	1499	29	,	,	PUNCT
fuelectenerg-3144	1499	30	and	and	CCONJ
fuelectenerg-3144	1499	31	not	not	PART
fuelectenerg-3144	1499	32	input	input	NOUN
fuelectenerg-3144	1499	33	,	,	PUNCT
fuelectenerg-3144	1499	34	encoding	encoding	NOUN
fuelectenerg-3144	1499	35	.	.	PUNCT
fuelectenerg-3144	1500	1	additionally	additionally	ADV
fuelectenerg-3144	1500	2	,	,	PUNCT
fuelectenerg-3144	1500	3	the	the	DET
fuelectenerg-3144	1500	4	method	method	NOUN
fuelectenerg-3144	1500	5	presented	present	VERB
fuelectenerg-3144	1500	6	in	in	ADP
fuelectenerg-3144	1500	7	[	[	X
fuelectenerg-3144	1500	8	12	12	NUM
fuelectenerg-3144	1500	9	]	]	PUNCT
fuelectenerg-3144	1500	10	is	be	AUX
fuelectenerg-3144	1500	11	specialized	specialize	VERB
fuelectenerg-3144	1500	12	for	for	ADP
fuelectenerg-3144	1500	13	fsms	fsm	NOUN
fuelectenerg-3144	1500	14	implemented	implement	VERB
fuelectenerg-3144	1500	15	using	use	VERB
fuelectenerg-3144	1500	16	plas	pla	NOUN
fuelectenerg-3144	1500	17	because	because	SCONJ
fuelectenerg-3144	1500	18	it	it	PRON
fuelectenerg-3144	1500	19	minimizes	minimize	VERB
fuelectenerg-3144	1500	20	the	the	DET
fuelectenerg-3144	1500	21	total	total	ADJ
fuelectenerg-3144	1500	22	number	number	NOUN
fuelectenerg-3144	1500	23	of	of	ADP
fuelectenerg-3144	1500	24	pla	pla	NOUN
fuelectenerg-3144	1500	25	product	product	NOUN
fuelectenerg-3144	1500	26	terms	term	NOUN
fuelectenerg-3144	1500	27	.	.	PUNCT
fuelectenerg-3144	1501	1	in	in	ADP
fuelectenerg-3144	1501	2	comparison	comparison	NOUN
fuelectenerg-3144	1501	3	,	,	PUNCT
fuelectenerg-3144	1501	4	we	we	PRON
fuelectenerg-3144	1501	5	use	use	VERB
fuelectenerg-3144	1501	6	the	the	DET
fuelectenerg-3144	1501	7	cruder	crude	ADJ
fuelectenerg-3144	1501	8	but	but	CCONJ
fuelectenerg-3144	1501	9	more	more	ADV
fuelectenerg-3144	1501	10	generally	generally	ADV
fuelectenerg-3144	1501	11	applicable	applicable	ADJ
fuelectenerg-3144	1501	12	cost	cost	NOUN
fuelectenerg-3144	1501	13	metric	metric	NOUN
fuelectenerg-3144	1501	14	of	of	ADP
fuelectenerg-3144	1501	15	the	the	DET
fuelectenerg-3144	1501	16	total	total	ADJ
fuelectenerg-3144	1501	17	number	number	NOUN
fuelectenerg-3144	1501	18	of	of	ADP
fuelectenerg-3144	1501	19	variables	variable	NOUN
fuelectenerg-3144	1501	20	on	on	ADP
fuelectenerg-3144	1501	21	which	which	PRON
fuelectenerg-3144	1501	22	a	a	DET
fuelectenerg-3144	1501	23	function	function	NOUN
fuelectenerg-3144	1501	24	depends	depend	VERB
fuelectenerg-3144	1501	25	.	.	PUNCT
fuelectenerg-3144	1502	1	3	3	X
fuelectenerg-3144	1502	2	.	.	X
fuelectenerg-3144	1502	3	it	it	PRON
fuelectenerg-3144	1502	4	uses	use	VERB
fuelectenerg-3144	1502	5	grover	grover	PROPN
fuelectenerg-3144	1502	6	’s	’s	PART
fuelectenerg-3144	1502	7	algorithm	algorithm	NOUN
fuelectenerg-3144	1502	8	to	to	PART
fuelectenerg-3144	1502	9	solve	solve	VERB
fuelectenerg-3144	1502	10	an	an	DET
fuelectenerg-3144	1502	11	optimization	optimization	NOUN
fuelectenerg-3144	1502	12	,	,	PUNCT
fuelectenerg-3144	1502	13	rather	rather	ADV
fuelectenerg-3144	1502	14	than	than	ADP
fuelectenerg-3144	1502	15	satisfaction	satisfaction	NOUN
fuelectenerg-3144	1502	16	,	,	PUNCT
fuelectenerg-3144	1502	17	problem	problem	NOUN
fuelectenerg-3144	1502	18	.	.	PUNCT
fuelectenerg-3144	1503	1	it	it	PRON
fuelectenerg-3144	1503	2	achieves	achieve	VERB
fuelectenerg-3144	1503	3	this	this	PRON
fuelectenerg-3144	1503	4	by	by	ADP
fuelectenerg-3144	1503	5	solving	solve	VERB
fuelectenerg-3144	1503	6	a	a	DET
fuelectenerg-3144	1503	7	sequence	sequence	NOUN
fuelectenerg-3144	1503	8	of	of	ADP
fuelectenerg-3144	1503	9	satisfaction	satisfaction	NOUN
fuelectenerg-3144	1503	10	problems	problem	NOUN
fuelectenerg-3144	1503	11	using	use	VERB
fuelectenerg-3144	1503	12	grover	grover	PROPN
fuelectenerg-3144	1503	13	’s	’s	PART
fuelectenerg-3144	1503	14	algorithm	algorithm	NOUN
fuelectenerg-3144	1503	15	;	;	PUNCT
fuelectenerg-3144	1503	16	each	each	DET
fuelectenerg-3144	1503	17	such	such	ADJ
fuelectenerg-3144	1503	18	satisfaction	satisfaction	NOUN
fuelectenerg-3144	1503	19	problem	problem	NOUN
fuelectenerg-3144	1503	20	is	be	AUX
fuelectenerg-3144	1503	21	of	of	ADP
fuelectenerg-3144	1503	22	the	the	DET
fuelectenerg-3144	1503	23	form	form	NOUN
fuelectenerg-3144	1503	24	“	"	PUNCT
fuelectenerg-3144	1503	25	find	find	VERB
fuelectenerg-3144	1503	26	an	an	DET
fuelectenerg-3144	1503	27	encoding	encoding	NOUN
fuelectenerg-3144	1503	28	with	with	ADP
fuelectenerg-3144	1503	29	cost	cost	NOUN
fuelectenerg-3144	1503	30	at	at	ADP
fuelectenerg-3144	1503	31	most	most	ADJ
fuelectenerg-3144	1503	32	r	r	NOUN
fuelectenerg-3144	1503	33	”	"	PUNCT
fuelectenerg-3144	1503	34	where	where	SCONJ
fuelectenerg-3144	1503	35	r	r	NOUN
fuelectenerg-3144	1503	36	is	be	AUX
fuelectenerg-3144	1503	37	a	a	DET
fuelectenerg-3144	1503	38	threshold	threshold	NOUN
fuelectenerg-3144	1503	39	that	that	PRON
fuelectenerg-3144	1503	40	is	be	AUX
fuelectenerg-3144	1503	41	varied	varied	ADJ
fuelectenerg-3144	1503	42	.	.	PUNCT
fuelectenerg-3144	1504	1	by	by	ADP
fuelectenerg-3144	1504	2	repeatedly	repeatedly	ADV
fuelectenerg-3144	1504	3	executing	execute	VERB
fuelectenerg-3144	1504	4	grover	grover	NOUN
fuelectenerg-3144	1504	5	’s	’s	PART
fuelectenerg-3144	1504	6	algorithm	algorithm	NOUN
fuelectenerg-3144	1504	7	for	for	ADP
fuelectenerg-3144	1504	8	different	different	ADJ
fuelectenerg-3144	1504	9	thresholds	threshold	NOUN
fuelectenerg-3144	1504	10	,	,	PUNCT
fuelectenerg-3144	1504	11	where	where	SCONJ
fuelectenerg-3144	1504	12	the	the	DET
fuelectenerg-3144	1504	13	threshold	threshold	NOUN
fuelectenerg-3144	1504	14	is	be	AUX
fuelectenerg-3144	1504	15	varied	varied	ADJ
fuelectenerg-3144	1504	16	according	accord	VERB
fuelectenerg-3144	1504	17	to	to	ADP
fuelectenerg-3144	1504	18	an	an	DET
fuelectenerg-3144	1504	19	appropriate	appropriate	ADJ
fuelectenerg-3144	1504	20	strategy	strategy	NOUN
fuelectenerg-3144	1504	21	(	(	PUNCT
fuelectenerg-3144	1504	22	e.g.	e.g.	ADV
fuelectenerg-3144	1504	23	,	,	PUNCT
fuelectenerg-3144	1504	24	a	a	DET
fuelectenerg-3144	1504	25	binary	binary	ADJ
fuelectenerg-3144	1504	26	search	search	NOUN
fuelectenerg-3144	1504	27	strategy	strategy	NOUN
fuelectenerg-3144	1504	28	)	)	PUNCT
fuelectenerg-3144	1504	29	,	,	PUNCT
fuelectenerg-3144	1504	30	the	the	DET
fuelectenerg-3144	1504	31	algorithm	algorithm	NOUN
fuelectenerg-3144	1504	32	eventually	eventually	ADV
fuelectenerg-3144	1504	33	finds	find	VERB
fuelectenerg-3144	1504	34	the	the	DET
fuelectenerg-3144	1504	35	exact	exact	ADJ
fuelectenerg-3144	1504	36	minimum	minimum	ADJ
fuelectenerg-3144	1504	37	possible	possible	ADJ
fuelectenerg-3144	1504	38	cost	cost	NOUN
fuelectenerg-3144	1504	39	and	and	CCONJ
fuelectenerg-3144	1504	40	an	an	DET
fuelectenerg-3144	1504	41	encoding	encoding	NOUN
fuelectenerg-3144	1504	42	with	with	ADP
fuelectenerg-3144	1504	43	that	that	DET
fuelectenerg-3144	1504	44	cost	cost	NOUN
fuelectenerg-3144	1504	45	.	.	PUNCT
fuelectenerg-3144	1505	1	4	4	X
fuelectenerg-3144	1505	2	.	.	X
fuelectenerg-3144	1505	3	we	we	PRON
fuelectenerg-3144	1505	4	introduced	introduce	VERB
fuelectenerg-3144	1505	5	the	the	DET
fuelectenerg-3144	1505	6	concept	concept	NOUN
fuelectenerg-3144	1505	7	of	of	ADP
fuelectenerg-3144	1505	8	using	use	VERB
fuelectenerg-3144	1505	9	a	a	DET
fuelectenerg-3144	1505	10	quantum	quantum	ADJ
fuelectenerg-3144	1505	11	counter	counter	NOUN
fuelectenerg-3144	1505	12	in	in	ADP
fuelectenerg-3144	1505	13	tandem	tandem	NOUN
fuelectenerg-3144	1505	14	with	with	ADP
fuelectenerg-3144	1505	15	a	a	DET
fuelectenerg-3144	1505	16	threshold	threshold	NOUN
fuelectenerg-3144	1505	17	circuit	circuit	NOUN
fuelectenerg-3144	1505	18	as	as	ADP
fuelectenerg-3144	1505	19	part	part	NOUN
fuelectenerg-3144	1505	20	of	of	ADP
fuelectenerg-3144	1505	21	a	a	DET
fuelectenerg-3144	1505	22	quantum	quantum	ADJ
fuelectenerg-3144	1505	23	oracle	oracle	NOUN
fuelectenerg-3144	1505	24	.	.	PUNCT
fuelectenerg-3144	1506	1	such	such	ADJ
fuelectenerg-3144	1506	2	oracles	oracle	NOUN
fuelectenerg-3144	1506	3	check	check	VERB
fuelectenerg-3144	1506	4	whether	whether	SCONJ
fuelectenerg-3144	1506	5	the	the	DET
fuelectenerg-3144	1506	6	value	value	NOUN
fuelectenerg-3144	1506	7	of	of	ADP
fuelectenerg-3144	1506	8	a	a	DET
fuelectenerg-3144	1506	9	certain	certain	ADJ
fuelectenerg-3144	1506	10	function	function	NOUN
fuelectenerg-3144	1506	11	(	(	PUNCT
fuelectenerg-3144	1506	12	in	in	ADP
fuelectenerg-3144	1506	13	this	this	DET
fuelectenerg-3144	1506	14	case	case	NOUN
fuelectenerg-3144	1506	15	,	,	PUNCT
fuelectenerg-3144	1506	16	our	our	PRON
fuelectenerg-3144	1506	17	cost	cost	NOUN
fuelectenerg-3144	1506	18	function	function	NOUN
fuelectenerg-3144	1506	19	)	)	PUNCT
fuelectenerg-3144	1506	20	lies	lie	VERB
fuelectenerg-3144	1506	21	below	below	ADP
fuelectenerg-3144	1506	22	a	a	DET
fuelectenerg-3144	1506	23	given	give	VERB
fuelectenerg-3144	1506	24	threshold	threshold	NOUN
fuelectenerg-3144	1506	25	and	and	CCONJ
fuelectenerg-3144	1506	26	are	be	AUX
fuelectenerg-3144	1506	27	exactly	exactly	ADV
fuelectenerg-3144	1506	28	what	what	PRON
fuelectenerg-3144	1506	29	is	be	AUX
fuelectenerg-3144	1506	30	needed	need	VERB
fuelectenerg-3144	1506	31	to	to	PART
fuelectenerg-3144	1506	32	solve	solve	VERB
fuelectenerg-3144	1506	33	an	an	DET
fuelectenerg-3144	1506	34	optimization	optimization	NOUN
fuelectenerg-3144	1506	35	problem	problem	NOUN
fuelectenerg-3144	1506	36	using	use	VERB
fuelectenerg-3144	1506	37	the	the	DET
fuelectenerg-3144	1506	38	procedure	procedure	NOUN
fuelectenerg-3144	1506	39	described	describe	VERB
fuelectenerg-3144	1506	40	in	in	ADP
fuelectenerg-3144	1506	41	section	section	NOUN
fuelectenerg-3144	1506	42	3.2	3.2	NUM
fuelectenerg-3144	1506	43	.	.	PUNCT
fuelectenerg-3144	1507	1	the	the	DET
fuelectenerg-3144	1507	2	use	use	NOUN
fuelectenerg-3144	1507	3	of	of	ADP
fuelectenerg-3144	1507	4	quantum	quantum	ADJ
fuelectenerg-3144	1507	5	counters	counter	NOUN
fuelectenerg-3144	1507	6	and	and	CCONJ
fuelectenerg-3144	1507	7	threshold	threshold	NOUN
fuelectenerg-3144	1507	8	circuits	circuit	NOUN
fuelectenerg-3144	1507	9	in	in	ADP
fuelectenerg-3144	1507	10	quantum	quantum	ADJ
fuelectenerg-3144	1507	11	oracles	oracle	NOUN
fuelectenerg-3144	1507	12	is	be	AUX
fuelectenerg-3144	1507	13	not	not	PART
fuelectenerg-3144	1507	14	limited	limit	VERB
fuelectenerg-3144	1507	15	to	to	ADP
fuelectenerg-3144	1507	16	solving	solve	VERB
fuelectenerg-3144	1507	17	the	the	DET
fuelectenerg-3144	1507	18	fsm	fsm	PROPN
fuelectenerg-3144	1507	19	encoding	encoding	NOUN
fuelectenerg-3144	1507	20	problem	problem	NOUN
fuelectenerg-3144	1507	21	.	.	PUNCT
fuelectenerg-3144	1508	1	it	it	PRON
fuelectenerg-3144	1508	2	can	can	AUX
fuelectenerg-3144	1508	3	be	be	AUX
fuelectenerg-3144	1508	4	applied	apply	VERB
fuelectenerg-3144	1508	5	to	to	ADP
fuelectenerg-3144	1508	6	many	many	ADJ
fuelectenerg-3144	1508	7	other	other	ADJ
fuelectenerg-3144	1508	8	optimization	optimization	NOUN
fuelectenerg-3144	1508	9	problems	problem	NOUN
fuelectenerg-3144	1508	10	such	such	ADJ
fuelectenerg-3144	1508	11	as	as	ADP
fuelectenerg-3144	1508	12	maxsat	maxsat	ADJ
fuelectenerg-3144	1508	13	,	,	PUNCT
fuelectenerg-3144	1508	14	in	in	ADP
fuelectenerg-3144	1508	15	which	which	PRON
fuelectenerg-3144	1508	16	the	the	DET
fuelectenerg-3144	1508	17	objective	objective	NOUN
fuelectenerg-3144	1508	18	is	be	AUX
fuelectenerg-3144	1508	19	to	to	PART
fuelectenerg-3144	1508	20	satisfy	satisfy	VERB
fuelectenerg-3144	1508	21	as	as	ADP
fuelectenerg-3144	1508	22	many	many	ADJ
fuelectenerg-3144	1508	23	terms	term	NOUN
fuelectenerg-3144	1508	24	of	of	ADP
fuelectenerg-3144	1508	25	a	a	DET
fuelectenerg-3144	1508	26	boolean	boolean	ADJ
fuelectenerg-3144	1508	27	expression	expression	NOUN
fuelectenerg-3144	1508	28	as	as	ADP
fuelectenerg-3144	1508	29	possible	possible	ADJ
fuelectenerg-3144	1508	30	.	.	PUNCT
fuelectenerg-3144	1509	1	we	we	PRON
fuelectenerg-3144	1509	2	compared	compare	VERB
fuelectenerg-3144	1509	3	the	the	DET
fuelectenerg-3144	1509	4	run	run	NOUN
fuelectenerg-3144	1509	5	time	time	NOUN
fuelectenerg-3144	1509	6	complexity	complexity	NOUN
fuelectenerg-3144	1509	7	of	of	ADP
fuelectenerg-3144	1509	8	the	the	DET
fuelectenerg-3144	1509	9	proposed	propose	VERB
fuelectenerg-3144	1509	10	quantum	quantum	NOUN
fuelectenerg-3144	1509	11	algorithm	algorithm	NOUN
fuelectenerg-3144	1509	12	against	against	ADP
fuelectenerg-3144	1509	13	that	that	PRON
fuelectenerg-3144	1509	14	of	of	ADP
fuelectenerg-3144	1509	15	the	the	DET
fuelectenerg-3144	1509	16	analogous	analogous	ADJ
fuelectenerg-3144	1509	17	exhaustive	exhaustive	ADJ
fuelectenerg-3144	1509	18	search	search	NOUN
fuelectenerg-3144	1509	19	-	-	PUNCT
fuelectenerg-3144	1509	20	based	base	VERB
fuelectenerg-3144	1509	21	classical	classical	ADJ
fuelectenerg-3144	1509	22	44	44	NUM
fuelectenerg-3144	1509	23	algorithm	algorithm	NOUN
fuelectenerg-3144	1509	24	.	.	PUNCT
fuelectenerg-3144	1510	1	this	this	DET
fuelectenerg-3144	1510	2	analysis	analysis	NOUN
fuelectenerg-3144	1510	3	does	do	AUX
fuelectenerg-3144	1510	4	not	not	PART
fuelectenerg-3144	1510	5	tell	tell	VERB
fuelectenerg-3144	1510	6	us	we	PRON
fuelectenerg-3144	1510	7	the	the	DET
fuelectenerg-3144	1510	8	absolute	absolute	ADJ
fuelectenerg-3144	1510	9	run	run	NOUN
fuelectenerg-3144	1510	10	times	time	NOUN
fuelectenerg-3144	1510	11	of	of	ADP
fuelectenerg-3144	1510	12	either	either	DET
fuelectenerg-3144	1510	13	algorithm	algorithm	NOUN
fuelectenerg-3144	1510	14	,	,	PUNCT
fuelectenerg-3144	1510	15	as	as	SCONJ
fuelectenerg-3144	1510	16	calculating	calculate	VERB
fuelectenerg-3144	1510	17	such	such	ADJ
fuelectenerg-3144	1510	18	would	would	AUX
fuelectenerg-3144	1510	19	require	require	VERB
fuelectenerg-3144	1510	20	much	much	ADV
fuelectenerg-3144	1510	21	more	more	ADV
fuelectenerg-3144	1510	22	detailed	detailed	ADJ
fuelectenerg-3144	1510	23	information	information	NOUN
fuelectenerg-3144	1510	24	regarding	regard	VERB
fuelectenerg-3144	1510	25	the	the	DET
fuelectenerg-3144	1510	26	precise	precise	ADJ
fuelectenerg-3144	1510	27	specifications	specification	NOUN
fuelectenerg-3144	1510	28	of	of	ADP
fuelectenerg-3144	1510	29	the	the	DET
fuelectenerg-3144	1510	30	quantum	quantum	ADJ
fuelectenerg-3144	1510	31	and	and	CCONJ
fuelectenerg-3144	1510	32	classical	classical	ADJ
fuelectenerg-3144	1510	33	computers	computer	NOUN
fuelectenerg-3144	1510	34	being	be	AUX
fuelectenerg-3144	1510	35	used	use	VERB
fuelectenerg-3144	1510	36	.	.	PUNCT
fuelectenerg-3144	1511	1	nevertheless	nevertheless	ADV
fuelectenerg-3144	1511	2	,	,	PUNCT
fuelectenerg-3144	1511	3	the	the	DET
fuelectenerg-3144	1511	4	comparison	comparison	NOUN
fuelectenerg-3144	1511	5	of	of	ADP
fuelectenerg-3144	1511	6	run	run	NOUN
fuelectenerg-3144	1511	7	time	time	NOUN
fuelectenerg-3144	1511	8	complexities	complexity	NOUN
fuelectenerg-3144	1511	9	provides	provide	VERB
fuelectenerg-3144	1511	10	strong	strong	ADJ
fuelectenerg-3144	1511	11	evidence	evidence	NOUN
fuelectenerg-3144	1511	12	that	that	SCONJ
fuelectenerg-3144	1511	13	the	the	DET
fuelectenerg-3144	1511	14	quantum	quantum	ADJ
fuelectenerg-3144	1511	15	algorithm	algorithm	NOUN
fuelectenerg-3144	1511	16	can	can	AUX
fuelectenerg-3144	1511	17	significantly	significantly	ADV
fuelectenerg-3144	1511	18	outperform	outperform	VERB
fuelectenerg-3144	1511	19	the	the	DET
fuelectenerg-3144	1511	20	classical	classical	ADJ
fuelectenerg-3144	1511	21	algorithm	algorithm	NOUN
fuelectenerg-3144	1511	22	for	for	ADP
fuelectenerg-3144	1511	23	fsms	fsm	NOUN
fuelectenerg-3144	1511	24	of	of	ADP
fuelectenerg-3144	1511	25	reasonable	reasonable	ADJ
fuelectenerg-3144	1511	26	size	size	NOUN
fuelectenerg-3144	1511	27	that	that	PRON
fuelectenerg-3144	1511	28	might	might	AUX
fuelectenerg-3144	1511	29	be	be	AUX
fuelectenerg-3144	1511	30	encountered	encounter	VERB
fuelectenerg-3144	1511	31	in	in	ADP
fuelectenerg-3144	1511	32	practice	practice	NOUN
fuelectenerg-3144	1511	33	.	.	PUNCT
fuelectenerg-3144	1512	1	in	in	ADP
fuelectenerg-3144	1512	2	addition	addition	NOUN
fuelectenerg-3144	1512	3	,	,	PUNCT
fuelectenerg-3144	1512	4	our	our	PRON
fuelectenerg-3144	1512	5	work	work	NOUN
fuelectenerg-3144	1512	6	may	may	AUX
fuelectenerg-3144	1512	7	serve	serve	VERB
fuelectenerg-3144	1512	8	as	as	ADP
fuelectenerg-3144	1512	9	the	the	DET
fuelectenerg-3144	1512	10	basis	basis	NOUN
fuelectenerg-3144	1512	11	for	for	ADP
fuelectenerg-3144	1512	12	further	further	ADJ
fuelectenerg-3144	1512	13	investigation	investigation	NOUN
fuelectenerg-3144	1512	14	in	in	ADP
fuelectenerg-3144	1512	15	a	a	DET
fuelectenerg-3144	1512	16	number	number	NOUN
fuelectenerg-3144	1512	17	of	of	ADP
fuelectenerg-3144	1512	18	different	different	ADJ
fuelectenerg-3144	1512	19	directions	direction	NOUN
fuelectenerg-3144	1512	20	.	.	PUNCT
fuelectenerg-3144	1513	1	we	we	PRON
fuelectenerg-3144	1513	2	leave	leave	VERB
fuelectenerg-3144	1513	3	these	these	DET
fuelectenerg-3144	1513	4	possibilities	possibility	NOUN
fuelectenerg-3144	1513	5	open	open	ADJ
fuelectenerg-3144	1513	6	to	to	ADP
fuelectenerg-3144	1513	7	future	future	ADJ
fuelectenerg-3144	1513	8	exploration	exploration	NOUN
fuelectenerg-3144	1513	9	.	.	PUNCT
fuelectenerg-3144	1514	1	among	among	ADP
fuelectenerg-3144	1514	2	them	they	PRON
fuelectenerg-3144	1514	3	,	,	PUNCT
fuelectenerg-3144	1514	4	the	the	DET
fuelectenerg-3144	1514	5	most	most	ADV
fuelectenerg-3144	1514	6	promising	promising	ADJ
fuelectenerg-3144	1514	7	include	include	NOUN
fuelectenerg-3144	1514	8	:	:	PUNCT
fuelectenerg-3144	1514	9	incompletely	incompletely	ADV
fuelectenerg-3144	1514	10	specified	specify	VERB
fuelectenerg-3144	1514	11	transition	transition	NOUN
fuelectenerg-3144	1514	12	functions	function	NOUN
fuelectenerg-3144	1514	13	—	—	PUNCT
fuelectenerg-3144	1514	14	a	a	DET
fuelectenerg-3144	1514	15	significant	significant	ADJ
fuelectenerg-3144	1514	16	limitation	limitation	NOUN
fuelectenerg-3144	1514	17	of	of	ADP
fuelectenerg-3144	1514	18	our	our	PRON
fuelectenerg-3144	1514	19	method	method	NOUN
fuelectenerg-3144	1514	20	is	be	AUX
fuelectenerg-3144	1514	21	that	that	SCONJ
fuelectenerg-3144	1514	22	it	it	PRON
fuelectenerg-3144	1514	23	requires	require	VERB
fuelectenerg-3144	1514	24	all	all	PRON
fuelectenerg-3144	1514	25	encoded	encode	VERB
fuelectenerg-3144	1514	26	transition	transition	NOUN
fuelectenerg-3144	1514	27	functions	function	NOUN
fuelectenerg-3144	1514	28	to	to	PART
fuelectenerg-3144	1514	29	be	be	AUX
fuelectenerg-3144	1514	30	completely	completely	ADV
fuelectenerg-3144	1514	31	specified	specify	VERB
fuelectenerg-3144	1514	32	,	,	PUNCT
fuelectenerg-3144	1514	33	which	which	PRON
fuelectenerg-3144	1514	34	means	mean	VERB
fuelectenerg-3144	1514	35	that	that	SCONJ
fuelectenerg-3144	1514	36	it	it	PRON
fuelectenerg-3144	1514	37	is	be	AUX
fuelectenerg-3144	1514	38	only	only	ADV
fuelectenerg-3144	1514	39	applicable	applicable	ADJ
fuelectenerg-3144	1514	40	to	to	PART
fuelectenerg-3144	1514	41	fsms	fsm	VERB
fuelectenerg-3144	1514	42	with	with	ADP
fuelectenerg-3144	1514	43	a	a	DET
fuelectenerg-3144	1514	44	number	number	NOUN
fuelectenerg-3144	1514	45	of	of	ADP
fuelectenerg-3144	1514	46	states	state	NOUN
fuelectenerg-3144	1514	47	that	that	PRON
fuelectenerg-3144	1514	48	is	be	AUX
fuelectenerg-3144	1514	49	a	a	DET
fuelectenerg-3144	1514	50	power	power	NOUN
fuelectenerg-3144	1514	51	of	of	ADP
fuelectenerg-3144	1514	52	two	two	NUM
fuelectenerg-3144	1514	53	.	.	PUNCT
fuelectenerg-3144	1515	1	extending	extend	VERB
fuelectenerg-3144	1515	2	our	our	PRON
fuelectenerg-3144	1515	3	method	method	NOUN
fuelectenerg-3144	1515	4	for	for	ADP
fuelectenerg-3144	1515	5	encoded	encode	VERB
fuelectenerg-3144	1515	6	transition	transition	NOUN
fuelectenerg-3144	1515	7	functions	function	NOUN
fuelectenerg-3144	1515	8	that	that	PRON
fuelectenerg-3144	1515	9	are	be	AUX
fuelectenerg-3144	1515	10	incompletely	incompletely	ADV
fuelectenerg-3144	1515	11	specified	specify	VERB
fuelectenerg-3144	1515	12	would	would	AUX
fuelectenerg-3144	1515	13	allow	allow	VERB
fuelectenerg-3144	1515	14	it	it	PRON
fuelectenerg-3144	1515	15	to	to	PART
fuelectenerg-3144	1515	16	apply	apply	VERB
fuelectenerg-3144	1515	17	to	to	ADP
fuelectenerg-3144	1515	18	all	all	DET
fuelectenerg-3144	1515	19	fsms	fsm	NOUN
fuelectenerg-3144	1515	20	.	.	PUNCT
fuelectenerg-3144	1516	1	output	output	NOUN
fuelectenerg-3144	1516	2	encodings	encoding	NOUN
fuelectenerg-3144	1516	3	—	—	PUNCT
fuelectenerg-3144	1516	4	in	in	ADP
fuelectenerg-3144	1516	5	a	a	DET
fuelectenerg-3144	1516	6	realistic	realistic	ADJ
fuelectenerg-3144	1516	7	digital	digital	ADJ
fuelectenerg-3144	1516	8	logic	logic	NOUN
fuelectenerg-3144	1516	9	design	design	NOUN
fuelectenerg-3144	1516	10	scenario	scenario	NOUN
fuelectenerg-3144	1516	11	,	,	PUNCT
fuelectenerg-3144	1516	12	the	the	DET
fuelectenerg-3144	1516	13	outputs	output	NOUN
fuelectenerg-3144	1516	14	of	of	ADP
fuelectenerg-3144	1516	15	a	a	DET
fuelectenerg-3144	1516	16	state	state	NOUN
fuelectenerg-3144	1516	17	machine	machine	NOUN
fuelectenerg-3144	1516	18	of	of	ADP
fuelectenerg-3144	1516	19	course	course	NOUN
fuelectenerg-3144	1516	20	can	can	AUX
fuelectenerg-3144	1516	21	not	not	PART
fuelectenerg-3144	1516	22	be	be	AUX
fuelectenerg-3144	1516	23	ignored	ignore	VERB
fuelectenerg-3144	1516	24	.	.	PUNCT
fuelectenerg-3144	1517	1	we	we	PRON
fuelectenerg-3144	1517	2	believe	believe	VERB
fuelectenerg-3144	1517	3	that	that	SCONJ
fuelectenerg-3144	1517	4	the	the	DET
fuelectenerg-3144	1517	5	methods	method	NOUN
fuelectenerg-3144	1517	6	presented	present	VERB
fuelectenerg-3144	1517	7	here	here	ADV
fuelectenerg-3144	1517	8	can	can	AUX
fuelectenerg-3144	1517	9	,	,	PUNCT
fuelectenerg-3144	1517	10	without	without	ADP
fuelectenerg-3144	1517	11	too	too	ADV
fuelectenerg-3144	1517	12	much	much	ADJ
fuelectenerg-3144	1517	13	difficulty	difficulty	NOUN
fuelectenerg-3144	1517	14	,	,	PUNCT
fuelectenerg-3144	1517	15	be	be	AUX
fuelectenerg-3144	1517	16	extended	extend	VERB
fuelectenerg-3144	1517	17	to	to	ADP
fuelectenerg-3144	1517	18	the	the	DET
fuelectenerg-3144	1517	19	problem	problem	NOUN
fuelectenerg-3144	1517	20	of	of	ADP
fuelectenerg-3144	1517	21	encoding	encode	VERB
fuelectenerg-3144	1517	22	outputs	output	NOUN
fuelectenerg-3144	1517	23	of	of	ADP
fuelectenerg-3144	1517	24	fsms	fsm	NOUN
fuelectenerg-3144	1517	25	as	as	ADV
fuelectenerg-3144	1517	26	well	well	ADV
fuelectenerg-3144	1517	27	.	.	PUNCT
fuelectenerg-3144	1518	1	such	such	DET
fuelectenerg-3144	1518	2	an	an	DET
fuelectenerg-3144	1518	3	extension	extension	NOUN
fuelectenerg-3144	1518	4	would	would	AUX
fuelectenerg-3144	1518	5	represent	represent	VERB
fuelectenerg-3144	1518	6	the	the	DET
fuelectenerg-3144	1518	7	first	first	ADJ
fuelectenerg-3144	1518	8	quantum	quantum	ADJ
fuelectenerg-3144	1518	9	algorithm	algorithm	NOUN
fuelectenerg-3144	1518	10	to	to	PART
fuelectenerg-3144	1518	11	solve	solve	VERB
fuelectenerg-3144	1518	12	the	the	DET
fuelectenerg-3144	1518	13	fsm	fsm	PROPN
fuelectenerg-3144	1518	14	encoding	encoding	NOUN
fuelectenerg-3144	1518	15	problem	problem	NOUN
fuelectenerg-3144	1518	16	simultaneously	simultaneously	ADV
fuelectenerg-3144	1518	17	for	for	ADP
fuelectenerg-3144	1518	18	states	state	NOUN
fuelectenerg-3144	1518	19	,	,	PUNCT
fuelectenerg-3144	1518	20	inputs	input	NOUN
fuelectenerg-3144	1518	21	,	,	PUNCT
fuelectenerg-3144	1518	22	and	and	CCONJ
fuelectenerg-3144	1518	23	outputs	output	NOUN
fuelectenerg-3144	1518	24	.	.	PUNCT
fuelectenerg-3144	1519	1	a	a	DET
fuelectenerg-3144	1519	2	more	more	ADV
fuelectenerg-3144	1519	3	detailed	detailed	ADJ
fuelectenerg-3144	1519	4	cost	cost	NOUN
fuelectenerg-3144	1519	5	model	model	NOUN
fuelectenerg-3144	1519	6	—	—	PUNCT
fuelectenerg-3144	1519	7	we	we	PRON
fuelectenerg-3144	1519	8	used	use	VERB
fuelectenerg-3144	1519	9	a	a	DET
fuelectenerg-3144	1519	10	simple	simple	ADJ
fuelectenerg-3144	1519	11	cost	cost	NOUN
fuelectenerg-3144	1519	12	model	model	NOUN
fuelectenerg-3144	1519	13	which	which	PRON
fuelectenerg-3144	1519	14	only	only	ADV
fuelectenerg-3144	1519	15	takes	take	VERB
fuelectenerg-3144	1519	16	into	into	ADP
fuelectenerg-3144	1519	17	account	account	NOUN
fuelectenerg-3144	1519	18	the	the	DET
fuelectenerg-3144	1519	19	number	number	NOUN
fuelectenerg-3144	1519	20	of	of	ADP
fuelectenerg-3144	1519	21	dependencies	dependency	NOUN
fuelectenerg-3144	1519	22	of	of	ADP
fuelectenerg-3144	1519	23	each	each	DET
fuelectenerg-3144	1519	24	encoded	encode	VERB
fuelectenerg-3144	1519	25	transition	transition	NOUN
fuelectenerg-3144	1519	26	function	function	NOUN
fuelectenerg-3144	1519	27	on	on	ADP
fuelectenerg-3144	1519	28	state	state	NOUN
fuelectenerg-3144	1519	29	and	and	CCONJ
fuelectenerg-3144	1519	30	input	input	NOUN
fuelectenerg-3144	1519	31	variables	variable	NOUN
fuelectenerg-3144	1519	32	.	.	PUNCT
fuelectenerg-3144	1520	1	while	while	SCONJ
fuelectenerg-3144	1520	2	this	this	DET
fuelectenerg-3144	1520	3	simple	simple	ADJ
fuelectenerg-3144	1520	4	model	model	NOUN
fuelectenerg-3144	1520	5	possesses	possess	VERB
fuelectenerg-3144	1520	6	the	the	DET
fuelectenerg-3144	1520	7	advantage	advantage	NOUN
fuelectenerg-3144	1520	8	of	of	ADP
fuelectenerg-3144	1520	9	not	not	PART
fuelectenerg-3144	1520	10	being	be	AUX
fuelectenerg-3144	1520	11	closely	closely	ADV
fuelectenerg-3144	1520	12	tied	tie	VERB
fuelectenerg-3144	1520	13	to	to	ADP
fuelectenerg-3144	1520	14	a	a	DET
fuelectenerg-3144	1520	15	single	single	ADJ
fuelectenerg-3144	1520	16	digital	digital	ADJ
fuelectenerg-3144	1520	17	logic	logic	NOUN
fuelectenerg-3144	1520	18	implementation	implementation	NOUN
fuelectenerg-3144	1520	19	technology	technology	NOUN
fuelectenerg-3144	1520	20	,	,	PUNCT
fuelectenerg-3144	1520	21	it	it	PRON
fuelectenerg-3144	1520	22	is	be	AUX
fuelectenerg-3144	1520	23	still	still	ADV
fuelectenerg-3144	1520	24	clearly	clearly	ADV
fuelectenerg-3144	1520	25	desirable	desirable	ADJ
fuelectenerg-3144	1520	26	to	to	PART
fuelectenerg-3144	1520	27	extend	extend	VERB
fuelectenerg-3144	1520	28	our	our	PRON
fuelectenerg-3144	1520	29	method	method	NOUN
fuelectenerg-3144	1520	30	to	to	ADP
fuelectenerg-3144	1520	31	more	more	ADV
fuelectenerg-3144	1520	32	realistic	realistic	ADJ
fuelectenerg-3144	1520	33	cost	cost	NOUN
fuelectenerg-3144	1520	34	models	model	NOUN
fuelectenerg-3144	1520	35	that	that	PRON
fuelectenerg-3144	1520	36	take	take	VERB
fuelectenerg-3144	1520	37	into	into	ADP
fuelectenerg-3144	1520	38	account	account	NOUN
fuelectenerg-3144	1520	39	additional	additional	ADJ
fuelectenerg-3144	1520	40	factors	factor	NOUN
fuelectenerg-3144	1520	41	.	.	PUNCT
fuelectenerg-3144	1521	1	comparison	comparison	NOUN
fuelectenerg-3144	1521	2	of	of	ADP
fuelectenerg-3144	1521	3	threshold	threshold	NOUN
fuelectenerg-3144	1521	4	search	search	NOUN
fuelectenerg-3144	1521	5	strategies	strategy	NOUN
fuelectenerg-3144	1521	6	—	—	PUNCT
fuelectenerg-3144	1521	7	one	one	NUM
fuelectenerg-3144	1521	8	of	of	ADP
fuelectenerg-3144	1521	9	the	the	DET
fuelectenerg-3144	1521	10	key	key	ADJ
fuelectenerg-3144	1521	11	elements	element	NOUN
fuelectenerg-3144	1521	12	of	of	ADP
fuelectenerg-3144	1521	13	our	our	PRON
fuelectenerg-3144	1521	14	method	method	NOUN
fuelectenerg-3144	1521	15	is	be	AUX
fuelectenerg-3144	1521	16	the	the	DET
fuelectenerg-3144	1521	17	execution	execution	NOUN
fuelectenerg-3144	1521	18	of	of	ADP
fuelectenerg-3144	1521	19	grover	grover	PROPN
fuelectenerg-3144	1521	20	’s	’s	PART
fuelectenerg-3144	1521	21	algorithm	algorithm	PROPN
fuelectenerg-3144	1521	22	multiple	multiple	ADJ
fuelectenerg-3144	1521	23	times	time	NOUN
fuelectenerg-3144	1521	24	with	with	ADP
fuelectenerg-3144	1521	25	a	a	DET
fuelectenerg-3144	1521	26	sequence	sequence	NOUN
fuelectenerg-3144	1521	27	of	of	ADP
fuelectenerg-3144	1521	28	quantum	quantum	ADJ
fuelectenerg-3144	1521	29	oracles	oracle	NOUN
fuelectenerg-3144	1521	30	generated	generate	VERB
fuelectenerg-3144	1521	31	for	for	ADP
fuelectenerg-3144	1521	32	different	different	ADJ
fuelectenerg-3144	1521	33	thresholds	threshold	NOUN
fuelectenerg-3144	1521	34	as	as	SCONJ
fuelectenerg-3144	1521	35	described	describe	VERB
fuelectenerg-3144	1521	36	in	in	ADP
fuelectenerg-3144	1521	37	section	section	NOUN
fuelectenerg-3144	1521	38	3.2	3.2	NUM
fuelectenerg-3144	1521	39	.	.	PUNCT
fuelectenerg-3144	1522	1	we	we	PRON
fuelectenerg-3144	1522	2	did	do	AUX
fuelectenerg-3144	1522	3	not	not	PART
fuelectenerg-3144	1522	4	attempt	attempt	VERB
fuelectenerg-3144	1522	5	to	to	PART
fuelectenerg-3144	1522	6	compare	compare	VERB
fuelectenerg-3144	1522	7	different	different	ADJ
fuelectenerg-3144	1522	8	strategies	strategy	NOUN
fuelectenerg-3144	1522	9	for	for	ADP
fuelectenerg-3144	1522	10	varying	vary	VERB
fuelectenerg-3144	1522	11	the	the	DET
fuelectenerg-3144	1522	12	threshold	threshold	NOUN
fuelectenerg-3144	1522	13	.	.	PUNCT
fuelectenerg-3144	1523	1	such	such	DET
fuelectenerg-3144	1523	2	a	a	DET
fuelectenerg-3144	1523	3	comparison	comparison	NOUN
fuelectenerg-3144	1523	4	could	could	AUX
fuelectenerg-3144	1523	5	significantly	significantly	ADV
fuelectenerg-3144	1523	6	improve	improve	VERB
fuelectenerg-3144	1523	7	our	our	PRON
fuelectenerg-3144	1523	8	algorithm	algorithm	NOUN
fuelectenerg-3144	1523	9	,	,	PUNCT
fuelectenerg-3144	1523	10	because	because	SCONJ
fuelectenerg-3144	1523	11	the	the	DET
fuelectenerg-3144	1523	12	selected	select	VERB
fuelectenerg-3144	1523	13	strategy	strategy	NOUN
fuelectenerg-3144	1523	14	affects	affect	VERB
fuelectenerg-3144	1523	15	the	the	DET
fuelectenerg-3144	1523	16	expected	expect	VERB
fuelectenerg-3144	1523	17	number	number	NOUN
fuelectenerg-3144	1523	18	of	of	ADP
fuelectenerg-3144	1523	19	grover	grover	NOUN
fuelectenerg-3144	1523	20	runs	run	NOUN
fuelectenerg-3144	1523	21	needed	need	VERB
fuelectenerg-3144	1523	22	to	to	PART
fuelectenerg-3144	1523	23	find	find	VERB
fuelectenerg-3144	1523	24	the	the	DET
fuelectenerg-3144	1523	25	minimum	minimum	ADJ
fuelectenerg-3144	1523	26	possible	possible	ADJ
fuelectenerg-3144	1523	27	threshold	threshold	NOUN
fuelectenerg-3144	1523	28	,	,	PUNCT
fuelectenerg-3144	1523	29	which	which	PRON
fuelectenerg-3144	1523	30	in	in	ADP
fuelectenerg-3144	1523	31	turn	turn	NOUN
fuelectenerg-3144	1523	32	affects	affect	VERB
fuelectenerg-3144	1523	33	the	the	DET
fuelectenerg-3144	1523	34	run	run	ADJ
fuelectenerg-3144	1523	35	time	time	NOUN
fuelectenerg-3144	1523	36	of	of	ADP
fuelectenerg-3144	1523	37	our	our	PRON
fuelectenerg-3144	1523	38	entire	entire	ADJ
fuelectenerg-3144	1523	39	algorithm	algorithm	NOUN
fuelectenerg-3144	1523	40	.	.	PUNCT
fuelectenerg-3144	1524	1	an	an	DET
fuelectenerg-3144	1524	2	analysis	analysis	NOUN
fuelectenerg-3144	1524	3	of	of	ADP
fuelectenerg-3144	1524	4	threshold	threshold	NOUN
fuelectenerg-3144	1524	5	search	search	NOUN
fuelectenerg-3144	1524	6	strategies	strategy	NOUN
fuelectenerg-3144	1524	7	would	would	AUX
fuelectenerg-3144	1524	8	also	also	ADV
fuelectenerg-3144	1524	9	be	be	AUX
fuelectenerg-3144	1524	10	applicable	applicable	ADJ
fuelectenerg-3144	1524	11	to	to	ADP
fuelectenerg-3144	1524	12	problems	problem	NOUN
fuelectenerg-3144	1524	13	other	other	ADJ
fuelectenerg-3144	1524	14	than	than	ADP
fuelectenerg-3144	1524	15	fsm	fsm	PROPN
fuelectenerg-3144	1524	16	encoding	encoding	NOUN
fuelectenerg-3144	1524	17	(	(	PUNCT
fuelectenerg-3144	1524	18	see	see	VERB
fuelectenerg-3144	1524	19	also	also	ADV
fuelectenerg-3144	1524	20	the	the	DET
fuelectenerg-3144	1524	21	following	follow	VERB
fuelectenerg-3144	1524	22	paragraph	paragraph	NOUN
fuelectenerg-3144	1524	23	)	)	PUNCT
fuelectenerg-3144	1524	24	.	.	PUNCT
fuelectenerg-3144	1525	1	application	application	NOUN
fuelectenerg-3144	1525	2	to	to	ADP
fuelectenerg-3144	1525	3	other	other	ADJ
fuelectenerg-3144	1525	4	problems	problem	NOUN
fuelectenerg-3144	1525	5	—	—	PUNCT
fuelectenerg-3144	1525	6	as	as	SCONJ
fuelectenerg-3144	1525	7	mentioned	mention	VERB
fuelectenerg-3144	1525	8	before	before	ADV
fuelectenerg-3144	1525	9	,	,	PUNCT
fuelectenerg-3144	1525	10	the	the	DET
fuelectenerg-3144	1525	11	principle	principle	NOUN
fuelectenerg-3144	1525	12	of	of	ADP
fuelectenerg-3144	1525	13	solving	solve	VERB
fuelectenerg-3144	1525	14	an	an	DET
fuelectenerg-3144	1525	15	optimization	optimization	NOUN
fuelectenerg-3144	1525	16	problem	problem	NOUN
fuelectenerg-3144	1525	17	by	by	ADP
fuelectenerg-3144	1525	18	running	run	VERB
fuelectenerg-3144	1525	19	grover	grover	NOUN
fuelectenerg-3144	1525	20	’s	’s	PART
fuelectenerg-3144	1525	21	algorithm	algorithm	NOUN
fuelectenerg-3144	1525	22	multiple	multiple	ADJ
fuelectenerg-3144	1525	23	times	time	NOUN
fuelectenerg-3144	1525	24	using	use	VERB
fuelectenerg-3144	1525	25	a	a	DET
fuelectenerg-3144	1525	26	sequence	sequence	NOUN
fuelectenerg-3144	1525	27	of	of	ADP
fuelectenerg-3144	1525	28	quantum	quantum	ADJ
fuelectenerg-3144	1525	29	oracles	oracle	NOUN
fuelectenerg-3144	1525	30	can	can	AUX
fuelectenerg-3144	1525	31	be	be	AUX
fuelectenerg-3144	1525	32	applied	apply	VERB
fuelectenerg-3144	1525	33	to	to	ADP
fuelectenerg-3144	1525	34	other	other	ADJ
fuelectenerg-3144	1525	35	problems	problem	NOUN
fuelectenerg-3144	1525	36	.	.	PUNCT
fuelectenerg-3144	1526	1	one	one	NUM
fuelectenerg-3144	1526	2	such	such	ADJ
fuelectenerg-3144	1526	3	problem	problem	NOUN
fuelectenerg-3144	1526	4	,	,	PUNCT
fuelectenerg-3144	1526	5	for	for	ADP
fuelectenerg-3144	1526	6	example	example	NOUN
fuelectenerg-3144	1526	7	,	,	PUNCT
fuelectenerg-3144	1526	8	is	be	AUX
fuelectenerg-3144	1526	9	maxsat	maxsat	ADJ
fuelectenerg-3144	1526	10	,	,	PUNCT
fuelectenerg-3144	1526	11	where	where	SCONJ
fuelectenerg-3144	1526	12	the	the	DET
fuelectenerg-3144	1526	13	objective	objective	NOUN
fuelectenerg-3144	1526	14	is	be	AUX
fuelectenerg-3144	1526	15	to	to	PART
fuelectenerg-3144	1526	16	maximize	maximize	VERB
fuelectenerg-3144	1526	17	the	the	DET
fuelectenerg-3144	1526	18	number	number	NOUN
fuelectenerg-3144	1526	19	of	of	ADP
fuelectenerg-3144	1526	20	simultaneously	simultaneously	ADV
fuelectenerg-3144	1526	21	satisfied	satisfied	ADJ
fuelectenerg-3144	1526	22	clauses	clause	NOUN
fuelectenerg-3144	1526	23	in	in	ADP
fuelectenerg-3144	1526	24	a	a	DET
fuelectenerg-3144	1526	25	boolean	boolean	ADJ
fuelectenerg-3144	1526	26	formula	formula	NOUN
fuelectenerg-3144	1526	27	expressed	express	VERB
fuelectenerg-3144	1526	28	in	in	ADP
fuelectenerg-3144	1526	29	conjunctive	conjunctive	ADJ
fuelectenerg-3144	1526	30	normal	normal	ADJ
fuelectenerg-3144	1526	31	form	form	NOUN
fuelectenerg-3144	1526	32	.	.	PUNCT
fuelectenerg-3144	1527	1	further	further	ADJ
fuelectenerg-3144	1527	2	investigation	investigation	NOUN
fuelectenerg-3144	1527	3	into	into	ADP
fuelectenerg-3144	1527	4	this	this	PRON
fuelectenerg-3144	1527	5	and	and	CCONJ
fuelectenerg-3144	1527	6	other	other	ADJ
fuelectenerg-3144	1527	7	such	such	ADJ
fuelectenerg-3144	1527	8	problems	problem	NOUN
fuelectenerg-3144	1527	9	would	would	AUX
fuelectenerg-3144	1527	10	greatly	greatly	ADV
fuelectenerg-3144	1527	11	increase	increase	VERB
fuelectenerg-3144	1527	12	the	the	DET
fuelectenerg-3144	1527	13	generality	generality	NOUN
fuelectenerg-3144	1527	14	of	of	ADP
fuelectenerg-3144	1527	15	the	the	DET
fuelectenerg-3144	1527	16	method	method	NOUN
fuelectenerg-3144	1527	17	presented	present	VERB
fuelectenerg-3144	1527	18	here	here	ADV
fuelectenerg-3144	1527	19	.	.	PUNCT
fuelectenerg-3144	1528	1	45	45	NUM
fuelectenerg-3144	1528	2	212	212	NUM
fuelectenerg-3144	1528	3	e.	e.	PROPN
fuelectenerg-3144	1528	4	tsai	tsai	PROPN
fuelectenerg-3144	1528	5	,	,	PUNCT
fuelectenerg-3144	1528	6	m.	m.	PROPN
fuelectenerg-3144	1528	7	perkowski	perkowski	PROPN
fuelectenerg-3144	1528	8	a	a	DET
fuelectenerg-3144	1528	9	quantum	quantum	ADJ
fuelectenerg-3144	1528	10	algorithm	algorithm	NOUN
fuelectenerg-3144	1528	11	for	for	ADP
fuelectenerg-3144	1528	12	automata	automata	NOUN
fuelectenerg-3144	1528	13	encoding	encode	VERB
fuelectenerg-3144	1528	14	213	213	NUM
fuelectenerg-3144	1528	15	references	reference	NOUN
fuelectenerg-3144	1528	16	[	[	X
fuelectenerg-3144	1528	17	1	1	NUM
fuelectenerg-3144	1528	18	]	]	PUNCT
fuelectenerg-3144	1528	19	j.	j.	PROPN
fuelectenerg-3144	1528	20	m.	m.	PROPN
fuelectenerg-3144	1528	21	gambetta	gambetta	PROPN
fuelectenerg-3144	1528	22	,	,	PUNCT
fuelectenerg-3144	1528	23	j.	j.	PROPN
fuelectenerg-3144	1528	24	m.	m.	PROPN
fuelectenerg-3144	1528	25	chow	chow	PROPN
fuelectenerg-3144	1528	26	,	,	PUNCT
fuelectenerg-3144	1528	27	and	and	CCONJ
fuelectenerg-3144	1528	28	m.	m.	PROPN
fuelectenerg-3144	1528	29	steffen	steffen	PROPN
fuelectenerg-3144	1528	30	,	,	PUNCT
fuelectenerg-3144	1528	31	“	"	PUNCT
fuelectenerg-3144	1528	32	building	build	VERB
fuelectenerg-3144	1528	33	logical	logical	ADJ
fuelectenerg-3144	1528	34	qubits	qubit	NOUN
fuelectenerg-3144	1528	35	in	in	ADP
fuelectenerg-3144	1528	36	a	a	DET
fuelectenerg-3144	1528	37	superconducting	superconducte	VERB
fuelectenerg-3144	1528	38	quantum	quantum	ADJ
fuelectenerg-3144	1528	39	computing	computing	NOUN
fuelectenerg-3144	1528	40	system	system	NOUN
fuelectenerg-3144	1528	41	,	,	PUNCT
fuelectenerg-3144	1528	42	”	"	PUNCT
fuelectenerg-3144	1528	43	npj	npj	X
fuelectenerg-3144	1528	44	quantum	quantum	NOUN
fuelectenerg-3144	1528	45	information	information	NOUN
fuelectenerg-3144	1528	46	,	,	PUNCT
fuelectenerg-3144	1528	47	vol	vol	NOUN
fuelectenerg-3144	1528	48	.	.	PROPN
fuelectenerg-3144	1529	1	3	3	NUM
fuelectenerg-3144	1529	2	,	,	PUNCT
fuelectenerg-3144	1529	3	p.	p.	NOUN
fuelectenerg-3144	1529	4	2	2	NUM
fuelectenerg-3144	1529	5	,	,	PUNCT
fuelectenerg-3144	1529	6	jan	jan	PROPN
fuelectenerg-3144	1529	7	.	.	PROPN
fuelectenerg-3144	1529	8	2017	2017	NUM
fuelectenerg-3144	1529	9	.	.	PUNCT
fuelectenerg-3144	1530	1	[	[	X
fuelectenerg-3144	1530	2	2	2	NUM
fuelectenerg-3144	1530	3	]	]	PUNCT
fuelectenerg-3144	1530	4	l.	l.	PROPN
fuelectenerg-3144	1530	5	k.	k.	PROPN
fuelectenerg-3144	1530	6	grover	grover	PROPN
fuelectenerg-3144	1530	7	,	,	PUNCT
fuelectenerg-3144	1530	8	“	"	PUNCT
fuelectenerg-3144	1530	9	a	a	DET
fuelectenerg-3144	1530	10	fast	fast	ADJ
fuelectenerg-3144	1530	11	quantum	quantum	ADJ
fuelectenerg-3144	1530	12	mechanical	mechanical	ADJ
fuelectenerg-3144	1530	13	algorithm	algorithm	NOUN
fuelectenerg-3144	1530	14	for	for	ADP
fuelectenerg-3144	1530	15	database	database	NOUN
fuelectenerg-3144	1530	16	search	search	NOUN
fuelectenerg-3144	1530	17	,	,	PUNCT
fuelectenerg-3144	1530	18	”	"	PUNCT
fuelectenerg-3144	1530	19	in	in	ADP
fuelectenerg-3144	1530	20	proceedings	proceeding	NOUN
fuelectenerg-3144	1530	21	of	of	ADP
fuelectenerg-3144	1530	22	the	the	DET
fuelectenerg-3144	1530	23	twenty	twenty	NUM
fuelectenerg-3144	1530	24	-	-	PUNCT
fuelectenerg-3144	1530	25	eighth	eighth	ADJ
fuelectenerg-3144	1530	26	annual	annual	ADJ
fuelectenerg-3144	1530	27	acm	acm	NOUN
fuelectenerg-3144	1530	28	symposium	symposium	NOUN
fuelectenerg-3144	1530	29	on	on	ADP
fuelectenerg-3144	1530	30	theory	theory	NOUN
fuelectenerg-3144	1530	31	of	of	ADP
fuelectenerg-3144	1530	32	computing	computing	NOUN
fuelectenerg-3144	1530	33	,	,	PUNCT
fuelectenerg-3144	1530	34	pp	pp	ADJ
fuelectenerg-3144	1530	35	.	.	PUNCT
fuelectenerg-3144	1531	1	212–219	212–219	NUM
fuelectenerg-3144	1531	2	,	,	PUNCT
fuelectenerg-3144	1531	3	may	may	PROPN
fuelectenerg-3144	1531	4	1996	1996	NUM
fuelectenerg-3144	1531	5	.	.	PUNCT
fuelectenerg-3144	1532	1	[	[	X
fuelectenerg-3144	1532	2	3	3	X
fuelectenerg-3144	1532	3	]	]	PUNCT
fuelectenerg-3144	1532	4	l.	l.	PROPN
fuelectenerg-3144	1532	5	k.	k.	PROPN
fuelectenerg-3144	1532	6	grover	grover	PROPN
fuelectenerg-3144	1532	7	,	,	PUNCT
fuelectenerg-3144	1532	8	“	"	PUNCT
fuelectenerg-3144	1532	9	quantum	quantum	ADJ
fuelectenerg-3144	1532	10	mechanics	mechanic	NOUN
fuelectenerg-3144	1532	11	helps	help	VERB
fuelectenerg-3144	1532	12	in	in	ADP
fuelectenerg-3144	1532	13	searching	search	VERB
fuelectenerg-3144	1532	14	for	for	ADP
fuelectenerg-3144	1532	15	a	a	DET
fuelectenerg-3144	1532	16	needle	needle	NOUN
fuelectenerg-3144	1532	17	in	in	ADP
fuelectenerg-3144	1532	18	a	a	DET
fuelectenerg-3144	1532	19	haystack	haystack	NOUN
fuelectenerg-3144	1532	20	,	,	PUNCT
fuelectenerg-3144	1532	21	”	"	PUNCT
fuelectenerg-3144	1532	22	phys	phy	NOUN
fuelectenerg-3144	1532	23	.	.	PUNCT
fuelectenerg-3144	1533	1	rev	rev	PROPN
fuelectenerg-3144	1533	2	.	.	PROPN
fuelectenerg-3144	1533	3	lett	lett	PROPN
fuelectenerg-3144	1533	4	.	.	PROPN
fuelectenerg-3144	1533	5	,	,	PUNCT
fuelectenerg-3144	1533	6	vol	vol	NOUN
fuelectenerg-3144	1533	7	.	.	PROPN
fuelectenerg-3144	1533	8	79	79	NUM
fuelectenerg-3144	1533	9	,	,	PUNCT
fuelectenerg-3144	1533	10	pp	pp	ADJ
fuelectenerg-3144	1533	11	.	.	PUNCT
fuelectenerg-3144	1534	1	325–328	325–328	NUM
fuelectenerg-3144	1534	2	,	,	PUNCT
fuelectenerg-3144	1534	3	jul	jul	PROPN
fuelectenerg-3144	1534	4	1997	1997	NUM
fuelectenerg-3144	1534	5	.	.	PUNCT
fuelectenerg-3144	1535	1	[	[	X
fuelectenerg-3144	1535	2	4	4	X
fuelectenerg-3144	1535	3	]	]	PUNCT
fuelectenerg-3144	1535	4	l.	l.	PROPN
fuelectenerg-3144	1535	5	k.	k.	PROPN
fuelectenerg-3144	1535	6	grover	grover	PROPN
fuelectenerg-3144	1535	7	,	,	PUNCT
fuelectenerg-3144	1535	8	“	"	PUNCT
fuelectenerg-3144	1535	9	a	a	DET
fuelectenerg-3144	1535	10	framework	framework	NOUN
fuelectenerg-3144	1535	11	for	for	ADP
fuelectenerg-3144	1535	12	fast	fast	ADJ
fuelectenerg-3144	1535	13	quantum	quantum	ADJ
fuelectenerg-3144	1535	14	mechanical	mechanical	ADJ
fuelectenerg-3144	1535	15	algorithms	algorithm	NOUN
fuelectenerg-3144	1535	16	,	,	PUNCT
fuelectenerg-3144	1535	17	”	"	PUNCT
fuelectenerg-3144	1535	18	in	in	ADP
fuelectenerg-3144	1535	19	proceedings	proceeding	NOUN
fuelectenerg-3144	1535	20	of	of	ADP
fuelectenerg-3144	1535	21	the	the	DET
fuelectenerg-3144	1535	22	thirtieth	thirtieth	ADJ
fuelectenerg-3144	1535	23	annual	annual	ADJ
fuelectenerg-3144	1535	24	acm	acm	NOUN
fuelectenerg-3144	1535	25	symposium	symposium	NOUN
fuelectenerg-3144	1535	26	on	on	ADP
fuelectenerg-3144	1535	27	theory	theory	NOUN
fuelectenerg-3144	1535	28	of	of	ADP
fuelectenerg-3144	1535	29	computing	computing	NOUN
fuelectenerg-3144	1535	30	,	,	PUNCT
fuelectenerg-3144	1535	31	stoc	stoc	NOUN
fuelectenerg-3144	1535	32	’	'	PUNCT
fuelectenerg-3144	1535	33	98	98	NUM
fuelectenerg-3144	1535	34	,	,	PUNCT
fuelectenerg-3144	1535	35	(	(	PUNCT
fuelectenerg-3144	1535	36	new	new	PROPN
fuelectenerg-3144	1535	37	york	york	PROPN
fuelectenerg-3144	1535	38	,	,	PUNCT
fuelectenerg-3144	1535	39	ny	ny	PROPN
fuelectenerg-3144	1535	40	,	,	PUNCT
fuelectenerg-3144	1535	41	usa	usa	PROPN
fuelectenerg-3144	1535	42	)	)	PUNCT
fuelectenerg-3144	1535	43	,	,	PUNCT
fuelectenerg-3144	1535	44	pp	pp	ADJ
fuelectenerg-3144	1535	45	.	.	PUNCT
fuelectenerg-3144	1536	1	53–62	53–62	NUM
fuelectenerg-3144	1536	2	,	,	PUNCT
fuelectenerg-3144	1536	3	acm	acm	PROPN
fuelectenerg-3144	1536	4	,	,	PUNCT
fuelectenerg-3144	1536	5	1998	1998	NUM
fuelectenerg-3144	1536	6	.	.	PUNCT
fuelectenerg-3144	1537	1	[	[	X
fuelectenerg-3144	1537	2	5	5	X
fuelectenerg-3144	1537	3	]	]	X
fuelectenerg-3144	1537	4	g.	g.	PROPN
fuelectenerg-3144	1537	5	wendin	wendin	PROPN
fuelectenerg-3144	1537	6	,	,	PUNCT
fuelectenerg-3144	1537	7	“	"	PUNCT
fuelectenerg-3144	1537	8	quantum	quantum	ADJ
fuelectenerg-3144	1537	9	information	information	NOUN
fuelectenerg-3144	1537	10	processing	processing	NOUN
fuelectenerg-3144	1537	11	with	with	ADP
fuelectenerg-3144	1537	12	superconducting	superconducte	VERB
fuelectenerg-3144	1537	13	circuits	circuit	NOUN
fuelectenerg-3144	1537	14	:	:	PUNCT
fuelectenerg-3144	1537	15	a	a	DET
fuelectenerg-3144	1537	16	review	review	NOUN
fuelectenerg-3144	1537	17	,	,	PUNCT
fuelectenerg-3144	1537	18	”	"	PUNCT
fuelectenerg-3144	1537	19	reports	report	NOUN
fuelectenerg-3144	1537	20	on	on	ADP
fuelectenerg-3144	1537	21	progress	progress	NOUN
fuelectenerg-3144	1537	22	in	in	ADP
fuelectenerg-3144	1537	23	physics	physics	NOUN
fuelectenerg-3144	1537	24	,	,	PUNCT
fuelectenerg-3144	1537	25	vol	vol	NOUN
fuelectenerg-3144	1537	26	.	.	PROPN
fuelectenerg-3144	1537	27	80	80	NUM
fuelectenerg-3144	1537	28	,	,	PUNCT
fuelectenerg-3144	1537	29	no	no	INTJ
fuelectenerg-3144	1537	30	.	.	NOUN
fuelectenerg-3144	1537	31	10	10	NUM
fuelectenerg-3144	1537	32	,	,	PUNCT
fuelectenerg-3144	1537	33	p.	p.	NOUN
fuelectenerg-3144	1537	34	106001	106001	NUM
fuelectenerg-3144	1537	35	,	,	PUNCT
fuelectenerg-3144	1537	36	2017	2017	NUM
fuelectenerg-3144	1537	37	.	.	PUNCT
fuelectenerg-3144	1538	1	[	[	X
fuelectenerg-3144	1538	2	6	6	NUM
fuelectenerg-3144	1538	3	]	]	PUNCT
fuelectenerg-3144	1538	4	j.	j.	PROPN
fuelectenerg-3144	1538	5	hartmanis	hartmanis	PROPN
fuelectenerg-3144	1538	6	,	,	PUNCT
fuelectenerg-3144	1538	7	“	"	PUNCT
fuelectenerg-3144	1538	8	on	on	ADP
fuelectenerg-3144	1538	9	the	the	DET
fuelectenerg-3144	1538	10	state	state	NOUN
fuelectenerg-3144	1538	11	assignment	assignment	NOUN
fuelectenerg-3144	1538	12	problem	problem	NOUN
fuelectenerg-3144	1538	13	for	for	ADP
fuelectenerg-3144	1538	14	sequential	sequential	ADJ
fuelectenerg-3144	1538	15	machines	machine	NOUN
fuelectenerg-3144	1538	16	.	.	PUNCT
fuelectenerg-3144	1539	1	i	i	PRON
fuelectenerg-3144	1539	2	,	,	PUNCT
fuelectenerg-3144	1539	3	”	"	PUNCT
fuelectenerg-3144	1539	4	ire	ire	ADJ
fuelectenerg-3144	1539	5	transactions	transaction	NOUN
fuelectenerg-3144	1539	6	on	on	ADP
fuelectenerg-3144	1539	7	electronic	electronic	ADJ
fuelectenerg-3144	1539	8	computers	computer	NOUN
fuelectenerg-3144	1539	9	,	,	PUNCT
fuelectenerg-3144	1539	10	vol	vol	NOUN
fuelectenerg-3144	1539	11	.	.	PUNCT
fuelectenerg-3144	1540	1	ec-10	ec-10	PRON
fuelectenerg-3144	1540	2	,	,	PUNCT
fuelectenerg-3144	1540	3	pp	pp	ADJ
fuelectenerg-3144	1540	4	.	.	PUNCT
fuelectenerg-3144	1541	1	157–165	157–165	NUM
fuelectenerg-3144	1541	2	,	,	PUNCT
fuelectenerg-3144	1541	3	june	june	PROPN
fuelectenerg-3144	1541	4	1961	1961	NUM
fuelectenerg-3144	1541	5	.	.	PUNCT
fuelectenerg-3144	1542	1	[	[	X
fuelectenerg-3144	1542	2	7	7	X
fuelectenerg-3144	1542	3	]	]	X
fuelectenerg-3144	1542	4	r.	r.	PROPN
fuelectenerg-3144	1542	5	e.	e.	PROPN
fuelectenerg-3144	1542	6	stearns	stearns	PROPN
fuelectenerg-3144	1542	7	and	and	CCONJ
fuelectenerg-3144	1542	8	j.	j.	PROPN
fuelectenerg-3144	1542	9	hartmanis	hartmanis	PROPN
fuelectenerg-3144	1542	10	,	,	PUNCT
fuelectenerg-3144	1542	11	“	"	PUNCT
fuelectenerg-3144	1542	12	on	on	ADP
fuelectenerg-3144	1542	13	the	the	DET
fuelectenerg-3144	1542	14	state	state	NOUN
fuelectenerg-3144	1542	15	assignment	assignment	NOUN
fuelectenerg-3144	1542	16	problem	problem	NOUN
fuelectenerg-3144	1542	17	for	for	ADP
fuelectenerg-3144	1542	18	sequential	sequential	ADJ
fuelectenerg-3144	1542	19	machines	machine	NOUN
fuelectenerg-3144	1542	20	.	.	PUNCT
fuelectenerg-3144	1543	1	ii	ii	PROPN
fuelectenerg-3144	1543	2	,	,	PUNCT
fuelectenerg-3144	1543	3	”	"	PUNCT
fuelectenerg-3144	1543	4	ire	ire	ADJ
fuelectenerg-3144	1543	5	transactions	transaction	NOUN
fuelectenerg-3144	1543	6	on	on	ADP
fuelectenerg-3144	1543	7	electronic	electronic	ADJ
fuelectenerg-3144	1543	8	computers	computer	NOUN
fuelectenerg-3144	1543	9	,	,	PUNCT
fuelectenerg-3144	1543	10	vol	vol	NOUN
fuelectenerg-3144	1543	11	.	.	PUNCT
fuelectenerg-3144	1544	1	ec-10	ec-10	PRON
fuelectenerg-3144	1544	2	,	,	PUNCT
fuelectenerg-3144	1544	3	pp	pp	ADJ
fuelectenerg-3144	1544	4	.	.	PUNCT
fuelectenerg-3144	1545	1	593–603	593–603	NUM
fuelectenerg-3144	1545	2	,	,	PUNCT
fuelectenerg-3144	1545	3	dec	dec	PROPN
fuelectenerg-3144	1545	4	.	.	PROPN
fuelectenerg-3144	1545	5	1961	1961	NUM
fuelectenerg-3144	1545	6	.	.	PUNCT
fuelectenerg-3144	1546	1	[	[	X
fuelectenerg-3144	1546	2	8	8	NUM
fuelectenerg-3144	1546	3	]	]	X
fuelectenerg-3144	1546	4	l.	l.	PROPN
fuelectenerg-3144	1546	5	benini	benini	PROPN
fuelectenerg-3144	1546	6	and	and	CCONJ
fuelectenerg-3144	1546	7	g.	g.	PROPN
fuelectenerg-3144	1546	8	d.	d.	PROPN
fuelectenerg-3144	1546	9	micheli	micheli	PROPN
fuelectenerg-3144	1546	10	,	,	PUNCT
fuelectenerg-3144	1546	11	“	"	PUNCT
fuelectenerg-3144	1546	12	state	state	NOUN
fuelectenerg-3144	1546	13	assignment	assignment	NOUN
fuelectenerg-3144	1546	14	for	for	ADP
fuelectenerg-3144	1546	15	low	low	ADJ
fuelectenerg-3144	1546	16	power	power	NOUN
fuelectenerg-3144	1546	17	dissipation	dissipation	NOUN
fuelectenerg-3144	1546	18	,	,	PUNCT
fuelectenerg-3144	1546	19	”	"	PUNCT
fuelectenerg-3144	1546	20	ieee	ieee	NOUN
fuelectenerg-3144	1546	21	journal	journal	NOUN
fuelectenerg-3144	1546	22	of	of	ADP
fuelectenerg-3144	1546	23	solid	solid	ADJ
fuelectenerg-3144	1546	24	-	-	PUNCT
fuelectenerg-3144	1546	25	state	state	NOUN
fuelectenerg-3144	1546	26	circuits	circuit	NOUN
fuelectenerg-3144	1546	27	,	,	PUNCT
fuelectenerg-3144	1546	28	vol	vol	NOUN
fuelectenerg-3144	1546	29	.	.	PROPN
fuelectenerg-3144	1546	30	30	30	NUM
fuelectenerg-3144	1546	31	,	,	PUNCT
fuelectenerg-3144	1546	32	pp	pp	ADJ
fuelectenerg-3144	1546	33	.	.	PUNCT
fuelectenerg-3144	1547	1	258–268	258–268	NUM
fuelectenerg-3144	1547	2	,	,	PUNCT
fuelectenerg-3144	1547	3	mar	mar	PROPN
fuelectenerg-3144	1547	4	.	.	PROPN
fuelectenerg-3144	1547	5	1995	1995	NUM
fuelectenerg-3144	1547	6	.	.	PUNCT
fuelectenerg-3144	1548	1	[	[	X
fuelectenerg-3144	1548	2	9	9	NUM
fuelectenerg-3144	1548	3	]	]	X
fuelectenerg-3144	1548	4	g.	g.	PROPN
fuelectenerg-3144	1548	5	d.	d.	PROPN
fuelectenerg-3144	1548	6	hachtel	hachtel	PROPN
fuelectenerg-3144	1548	7	,	,	PUNCT
fuelectenerg-3144	1548	8	m.	m.	PROPN
fuelectenerg-3144	1548	9	hermida	hermida	PROPN
fuelectenerg-3144	1548	10	,	,	PUNCT
fuelectenerg-3144	1548	11	a.	a.	PROPN
fuelectenerg-3144	1548	12	pardo	pardo	PROPN
fuelectenerg-3144	1548	13	,	,	PUNCT
fuelectenerg-3144	1548	14	m.	m.	NOUN
fuelectenerg-3144	1548	15	poncino	poncino	PROPN
fuelectenerg-3144	1548	16	,	,	PUNCT
fuelectenerg-3144	1548	17	and	and	CCONJ
fuelectenerg-3144	1548	18	f.	f.	PROPN
fuelectenerg-3144	1548	19	somenzi	somenzi	PROPN
fuelectenerg-3144	1548	20	,	,	PUNCT
fuelectenerg-3144	1548	21	“	"	PUNCT
fuelectenerg-3144	1548	22	re	re	VERB
fuelectenerg-3144	1548	23	-	-	VERB
fuelectenerg-3144	1548	24	encoding	encode	VERB
fuelectenerg-3144	1548	25	sequential	sequential	ADJ
fuelectenerg-3144	1548	26	circuits	circuit	NOUN
fuelectenerg-3144	1548	27	to	to	PART
fuelectenerg-3144	1548	28	reduce	reduce	VERB
fuelectenerg-3144	1548	29	power	power	NOUN
fuelectenerg-3144	1548	30	dissipation	dissipation	NOUN
fuelectenerg-3144	1548	31	,	,	PUNCT
fuelectenerg-3144	1548	32	”	"	PUNCT
fuelectenerg-3144	1548	33	in	in	ADP
fuelectenerg-3144	1548	34	proceedings	proceeding	NOUN
fuelectenerg-3144	1548	35	of	of	ADP
fuelectenerg-3144	1548	36	the	the	DET
fuelectenerg-3144	1548	37	1994	1994	NUM
fuelectenerg-3144	1548	38	ieee	ieee	PROPN
fuelectenerg-3144	1548	39	/	/	SYM
fuelectenerg-3144	1548	40	acm	acm	PROPN
fuelectenerg-3144	1548	41	international	international	ADJ
fuelectenerg-3144	1548	42	conference	conference	NOUN
fuelectenerg-3144	1548	43	on	on	ADP
fuelectenerg-3144	1548	44	computer	computer	NOUN
fuelectenerg-3144	1548	45	-	-	PUNCT
fuelectenerg-3144	1548	46	aided	aid	VERB
fuelectenerg-3144	1548	47	design	design	NOUN
fuelectenerg-3144	1548	48	,	,	PUNCT
fuelectenerg-3144	1548	49	iccad	iccad	ADJ
fuelectenerg-3144	1548	50	’	'	PUNCT
fuelectenerg-3144	1548	51	94	94	NUM
fuelectenerg-3144	1548	52	,	,	PUNCT
fuelectenerg-3144	1548	53	(	(	PUNCT
fuelectenerg-3144	1548	54	los	los	PROPN
fuelectenerg-3144	1548	55	alamitos	alamitos	PROPN
fuelectenerg-3144	1548	56	,	,	PUNCT
fuelectenerg-3144	1548	57	ca	ca	PROPN
fuelectenerg-3144	1548	58	,	,	PUNCT
fuelectenerg-3144	1548	59	usa	usa	PROPN
fuelectenerg-3144	1548	60	)	)	PUNCT
fuelectenerg-3144	1548	61	,	,	PUNCT
fuelectenerg-3144	1548	62	pp	pp	PROPN
fuelectenerg-3144	1548	63	.	.	PUNCT
fuelectenerg-3144	1549	1	70–73	70–73	NUM
fuelectenerg-3144	1549	2	,	,	PUNCT
fuelectenerg-3144	1549	3	ieee	ieee	NOUN
fuelectenerg-3144	1549	4	computer	computer	NOUN
fuelectenerg-3144	1549	5	society	society	PROPN
fuelectenerg-3144	1549	6	press	press	NOUN
fuelectenerg-3144	1549	7	,	,	PUNCT
fuelectenerg-3144	1549	8	1994	1994	NUM
fuelectenerg-3144	1549	9	.	.	PUNCT
fuelectenerg-3144	1550	1	[	[	X
fuelectenerg-3144	1550	2	10	10	NUM
fuelectenerg-3144	1550	3	]	]	X
fuelectenerg-3144	1550	4	g.	g.	PROPN
fuelectenerg-3144	1550	5	d.	d.	PROPN
fuelectenerg-3144	1550	6	micheli	micheli	PROPN
fuelectenerg-3144	1550	7	,	,	PUNCT
fuelectenerg-3144	1550	8	r.	r.	PROPN
fuelectenerg-3144	1550	9	k.	k.	PROPN
fuelectenerg-3144	1550	10	brayton	brayton	PROPN
fuelectenerg-3144	1550	11	,	,	PUNCT
fuelectenerg-3144	1550	12	and	and	CCONJ
fuelectenerg-3144	1550	13	a.	a.	PROPN
fuelectenerg-3144	1550	14	sangiovanni	sangiovanni	PROPN
fuelectenerg-3144	1550	15	-	-	PUNCT
fuelectenerg-3144	1550	16	vincentelli	vincentelli	NOUN
fuelectenerg-3144	1550	17	,	,	PUNCT
fuelectenerg-3144	1550	18	“	"	PUNCT
fuelectenerg-3144	1550	19	optimal	optimal	ADJ
fuelectenerg-3144	1550	20	state	state	NOUN
fuelectenerg-3144	1550	21	assignment	assignment	NOUN
fuelectenerg-3144	1550	22	for	for	ADP
fuelectenerg-3144	1550	23	finite	finite	ADJ
fuelectenerg-3144	1550	24	state	state	NOUN
fuelectenerg-3144	1550	25	machines	machine	NOUN
fuelectenerg-3144	1550	26	,	,	PUNCT
fuelectenerg-3144	1550	27	”	"	PUNCT
fuelectenerg-3144	1550	28	ieee	ieee	NOUN
fuelectenerg-3144	1550	29	transactions	transaction	NOUN
fuelectenerg-3144	1550	30	on	on	ADP
fuelectenerg-3144	1550	31	computer	computer	NOUN
fuelectenerg-3144	1550	32	-	-	PUNCT
fuelectenerg-3144	1550	33	aided	aid	VERB
fuelectenerg-3144	1550	34	design	design	NOUN
fuelectenerg-3144	1550	35	of	of	ADP
fuelectenerg-3144	1550	36	integrated	integrated	ADJ
fuelectenerg-3144	1550	37	circuits	circuit	NOUN
fuelectenerg-3144	1550	38	and	and	CCONJ
fuelectenerg-3144	1550	39	systems	system	NOUN
fuelectenerg-3144	1550	40	,	,	PUNCT
fuelectenerg-3144	1550	41	vol	vol	NOUN
fuelectenerg-3144	1550	42	.	.	PROPN
fuelectenerg-3144	1550	43	4	4	NUM
fuelectenerg-3144	1550	44	,	,	PUNCT
fuelectenerg-3144	1550	45	pp	pp	ADJ
fuelectenerg-3144	1550	46	.	.	PUNCT
fuelectenerg-3144	1551	1	269–285	269–285	NUM
fuelectenerg-3144	1551	2	,	,	PUNCT
fuelectenerg-3144	1551	3	july	july	PROPN
fuelectenerg-3144	1551	4	1985	1985	NUM
fuelectenerg-3144	1551	5	.	.	PUNCT
fuelectenerg-3144	1552	1	[	[	X
fuelectenerg-3144	1552	2	11	11	NUM
fuelectenerg-3144	1552	3	]	]	PUNCT
fuelectenerg-3144	1552	4	t.	t.	PROPN
fuelectenerg-3144	1552	5	villa	villa	PROPN
fuelectenerg-3144	1552	6	and	and	CCONJ
fuelectenerg-3144	1552	7	a.	a.	PROPN
fuelectenerg-3144	1552	8	sangiovanni	sangiovanni	PROPN
fuelectenerg-3144	1552	9	-	-	PUNCT
fuelectenerg-3144	1552	10	vincentelli	vincentelli	NOUN
fuelectenerg-3144	1552	11	,	,	PUNCT
fuelectenerg-3144	1552	12	“	"	PUNCT
fuelectenerg-3144	1552	13	nova	nova	X
fuelectenerg-3144	1552	14	:	:	PUNCT
fuelectenerg-3144	1552	15	state	state	NOUN
fuelectenerg-3144	1552	16	assignment	assignment	NOUN
fuelectenerg-3144	1552	17	of	of	ADP
fuelectenerg-3144	1552	18	finite	finite	ADJ
fuelectenerg-3144	1552	19	state	state	NOUN
fuelectenerg-3144	1552	20	machines	machine	NOUN
fuelectenerg-3144	1552	21	for	for	ADP
fuelectenerg-3144	1552	22	optimal	optimal	ADJ
fuelectenerg-3144	1552	23	two	two	NUM
fuelectenerg-3144	1552	24	-	-	PUNCT
fuelectenerg-3144	1552	25	level	level	NOUN
fuelectenerg-3144	1552	26	logic	logic	NOUN
fuelectenerg-3144	1552	27	implementation	implementation	NOUN
fuelectenerg-3144	1552	28	,	,	PUNCT
fuelectenerg-3144	1552	29	”	"	PUNCT
fuelectenerg-3144	1552	30	ieee	ieee	NOUN
fuelectenerg-3144	1552	31	transactions	transaction	NOUN
fuelectenerg-3144	1552	32	on	on	ADP
fuelectenerg-3144	1552	33	computer	computer	NOUN
fuelectenerg-3144	1552	34	-	-	PUNCT
fuelectenerg-3144	1552	35	aided	aid	VERB
fuelectenerg-3144	1552	36	design	design	NOUN
fuelectenerg-3144	1552	37	of	of	ADP
fuelectenerg-3144	1552	38	integrated	integrated	ADJ
fuelectenerg-3144	1552	39	circuits	circuit	NOUN
fuelectenerg-3144	1552	40	and	and	CCONJ
fuelectenerg-3144	1552	41	systems	system	NOUN
fuelectenerg-3144	1552	42	,	,	PUNCT
fuelectenerg-3144	1552	43	vol	vol	NOUN
fuelectenerg-3144	1552	44	.	.	PROPN
fuelectenerg-3144	1552	45	9	9	NUM
fuelectenerg-3144	1552	46	,	,	PUNCT
fuelectenerg-3144	1552	47	pp	pp	ADJ
fuelectenerg-3144	1552	48	.	.	PUNCT
fuelectenerg-3144	1553	1	905–924	905–924	NUM
fuelectenerg-3144	1553	2	,	,	PUNCT
fuelectenerg-3144	1553	3	sept	sept	PROPN
fuelectenerg-3144	1553	4	.	.	PROPN
fuelectenerg-3144	1553	5	1990	1990	NUM
fuelectenerg-3144	1553	6	.	.	PUNCT
fuelectenerg-3144	1554	1	[	[	X
fuelectenerg-3144	1554	2	12	12	NUM
fuelectenerg-3144	1554	3	]	]	X
fuelectenerg-3144	1554	4	s.	s.	PROPN
fuelectenerg-3144	1554	5	devadas	devadas	PROPN
fuelectenerg-3144	1554	6	and	and	CCONJ
fuelectenerg-3144	1554	7	a.	a.	PROPN
fuelectenerg-3144	1554	8	r.	r.	PROPN
fuelectenerg-3144	1554	9	newton	newton	PROPN
fuelectenerg-3144	1554	10	,	,	PUNCT
fuelectenerg-3144	1554	11	“	"	PUNCT
fuelectenerg-3144	1554	12	exact	exact	ADJ
fuelectenerg-3144	1554	13	algorithms	algorithm	NOUN
fuelectenerg-3144	1554	14	for	for	ADP
fuelectenerg-3144	1554	15	output	output	NOUN
fuelectenerg-3144	1554	16	encoding	encoding	NOUN
fuelectenerg-3144	1554	17	,	,	PUNCT
fuelectenerg-3144	1554	18	state	state	NOUN
fuelectenerg-3144	1554	19	assignment	assignment	NOUN
fuelectenerg-3144	1554	20	and	and	CCONJ
fuelectenerg-3144	1554	21	four	four	NUM
fuelectenerg-3144	1554	22	-	-	PUNCT
fuelectenerg-3144	1554	23	level	level	NOUN
fuelectenerg-3144	1554	24	boolean	boolean	ADJ
fuelectenerg-3144	1554	25	minimization	minimization	NOUN
fuelectenerg-3144	1554	26	,	,	PUNCT
fuelectenerg-3144	1554	27	”	"	PUNCT
fuelectenerg-3144	1554	28	in	in	ADP
fuelectenerg-3144	1554	29	system	system	NOUN
fuelectenerg-3144	1554	30	sciences	science	NOUN
fuelectenerg-3144	1554	31	,	,	PUNCT
fuelectenerg-3144	1554	32	1990	1990	NUM
fuelectenerg-3144	1554	33	.	.	PUNCT
fuelectenerg-3144	1555	1	,	,	PUNCT
fuelectenerg-3144	1555	2	proceedings	proceeding	NOUN
fuelectenerg-3144	1555	3	of	of	ADP
fuelectenerg-3144	1555	4	the	the	DET
fuelectenerg-3144	1555	5	twenty	twenty	NUM
fuelectenerg-3144	1555	6	-	-	PUNCT
fuelectenerg-3144	1555	7	third	third	NOUN
fuelectenerg-3144	1555	8	annual	annual	ADJ
fuelectenerg-3144	1555	9	hawaii	hawaii	PROPN
fuelectenerg-3144	1555	10	international	international	PROPN
fuelectenerg-3144	1555	11	conference	conference	NOUN
fuelectenerg-3144	1555	12	on	on	ADP
fuelectenerg-3144	1555	13	,	,	PUNCT
fuelectenerg-3144	1555	14	vol	vol	NOUN
fuelectenerg-3144	1555	15	.	.	PROPN
fuelectenerg-3144	1555	16	1	1	NUM
fuelectenerg-3144	1555	17	,	,	PUNCT
fuelectenerg-3144	1555	18	pp	pp	ADJ
fuelectenerg-3144	1555	19	.	.	PUNCT
fuelectenerg-3144	1556	1	387–396	387–396	NUM
fuelectenerg-3144	1556	2	,	,	PUNCT
fuelectenerg-3144	1556	3	ieee	ieee	NOUN
fuelectenerg-3144	1556	4	,	,	PUNCT
fuelectenerg-3144	1556	5	1990	1990	NUM
fuelectenerg-3144	1556	6	.	.	PUNCT
fuelectenerg-3144	1557	1	[	[	X
fuelectenerg-3144	1557	2	13	13	NUM
fuelectenerg-3144	1557	3	]	]	PUNCT
fuelectenerg-3144	1557	4	e.	e.	PROPN
fuelectenerg-3144	1557	5	f.	f.	PROPN
fuelectenerg-3144	1557	6	moore	moore	PROPN
fuelectenerg-3144	1557	7	,	,	PUNCT
fuelectenerg-3144	1557	8	“	"	PUNCT
fuelectenerg-3144	1557	9	gedanken	gedanken	VERB
fuelectenerg-3144	1557	10	experiments	experiment	NOUN
fuelectenerg-3144	1557	11	on	on	ADP
fuelectenerg-3144	1557	12	sequential	sequential	ADJ
fuelectenerg-3144	1557	13	machines	machine	NOUN
fuelectenerg-3144	1557	14	,	,	PUNCT
fuelectenerg-3144	1557	15	”	"	PUNCT
fuelectenerg-3144	1557	16	in	in	ADP
fuelectenerg-3144	1557	17	automata	automata	ADJ
fuelectenerg-3144	1557	18	studies	study	NOUN
fuelectenerg-3144	1557	19	,	,	PUNCT
fuelectenerg-3144	1557	20	pp	pp	ADV
fuelectenerg-3144	1557	21	.	.	PUNCT
fuelectenerg-3144	1558	1	129–153	129–153	NUM
fuelectenerg-3144	1558	2	,	,	PUNCT
fuelectenerg-3144	1558	3	princeton	princeton	PROPN
fuelectenerg-3144	1558	4	u.	u.	PROPN
fuelectenerg-3144	1558	5	,	,	PUNCT
fuelectenerg-3144	1558	6	1956	1956	NUM
fuelectenerg-3144	1558	7	.	.	PUNCT
fuelectenerg-3144	1559	1	46	46	NUM
fuelectenerg-3144	1560	1	[	[	X
fuelectenerg-3144	1560	2	14	14	NUM
fuelectenerg-3144	1560	3	]	]	X
fuelectenerg-3144	1560	4	j.	j.	PROPN
fuelectenerg-3144	1560	5	hartmanis	hartmanis	PROPN
fuelectenerg-3144	1560	6	,	,	PUNCT
fuelectenerg-3144	1560	7	“	"	PUNCT
fuelectenerg-3144	1560	8	loop	loop	NOUN
fuelectenerg-3144	1560	9	-	-	PUNCT
fuelectenerg-3144	1560	10	free	free	ADJ
fuelectenerg-3144	1560	11	structure	structure	NOUN
fuelectenerg-3144	1560	12	of	of	ADP
fuelectenerg-3144	1560	13	sequential	sequential	ADJ
fuelectenerg-3144	1560	14	machines	machine	NOUN
fuelectenerg-3144	1560	15	,	,	PUNCT
fuelectenerg-3144	1560	16	”	"	PUNCT
fuelectenerg-3144	1560	17	information	information	NOUN
fuelectenerg-3144	1560	18	and	and	CCONJ
fuelectenerg-3144	1560	19	control	control	NOUN
fuelectenerg-3144	1560	20	,	,	PUNCT
fuelectenerg-3144	1560	21	vol	vol	NOUN
fuelectenerg-3144	1560	22	.	.	PROPN
fuelectenerg-3144	1560	23	5	5	NUM
fuelectenerg-3144	1560	24	,	,	PUNCT
fuelectenerg-3144	1560	25	no	no	INTJ
fuelectenerg-3144	1560	26	.	.	NOUN
fuelectenerg-3144	1560	27	1	1	NUM
fuelectenerg-3144	1560	28	,	,	PUNCT
fuelectenerg-3144	1560	29	pp	pp	ADJ
fuelectenerg-3144	1560	30	.	.	PUNCT
fuelectenerg-3144	1561	1	25–43	25–43	NUM
fuelectenerg-3144	1561	2	,	,	PUNCT
fuelectenerg-3144	1561	3	1962	1962	NUM
fuelectenerg-3144	1561	4	.	.	PUNCT
fuelectenerg-3144	1562	1	[	[	X
fuelectenerg-3144	1562	2	15	15	NUM
fuelectenerg-3144	1562	3	]	]	X
fuelectenerg-3144	1562	4	g.	g.	PROPN
fuelectenerg-3144	1562	5	h.	h.	PROPN
fuelectenerg-3144	1562	6	mealy	mealy	PROPN
fuelectenerg-3144	1562	7	,	,	PUNCT
fuelectenerg-3144	1562	8	“	"	PUNCT
fuelectenerg-3144	1562	9	a	a	DET
fuelectenerg-3144	1562	10	method	method	NOUN
fuelectenerg-3144	1562	11	for	for	ADP
fuelectenerg-3144	1562	12	synthesizing	synthesize	VERB
fuelectenerg-3144	1562	13	sequential	sequential	ADJ
fuelectenerg-3144	1562	14	circuits	circuit	NOUN
fuelectenerg-3144	1562	15	,	,	PUNCT
fuelectenerg-3144	1562	16	”	"	PUNCT
fuelectenerg-3144	1562	17	bell	bell	NOUN
fuelectenerg-3144	1562	18	system	system	NOUN
fuelectenerg-3144	1562	19	technical	technical	ADJ
fuelectenerg-3144	1562	20	journal	journal	PROPN
fuelectenerg-3144	1562	21	,	,	PUNCT
fuelectenerg-3144	1562	22	vol	vol	NOUN
fuelectenerg-3144	1562	23	.	.	PROPN
fuelectenerg-3144	1563	1	34	34	NUM
fuelectenerg-3144	1563	2	,	,	PUNCT
fuelectenerg-3144	1563	3	no	no	INTJ
fuelectenerg-3144	1563	4	.	.	NOUN
fuelectenerg-3144	1563	5	5	5	NUM
fuelectenerg-3144	1563	6	,	,	PUNCT
fuelectenerg-3144	1563	7	pp	pp	ADJ
fuelectenerg-3144	1563	8	.	.	PUNCT
fuelectenerg-3144	1564	1	1045–1079	1045–1079	NUM
fuelectenerg-3144	1564	2	,	,	PUNCT
fuelectenerg-3144	1564	3	1955	1955	NUM
fuelectenerg-3144	1564	4	.	.	PUNCT
fuelectenerg-3144	1565	1	[	[	X
fuelectenerg-3144	1565	2	16	16	NUM
fuelectenerg-3144	1565	3	]	]	PUNCT
fuelectenerg-3144	1565	4	m.	m.	NOUN
fuelectenerg-3144	1565	5	a.	a.	PROPN
fuelectenerg-3144	1565	6	nielsen	nielsen	PROPN
fuelectenerg-3144	1565	7	and	and	CCONJ
fuelectenerg-3144	1565	8	i.	i.	PROPN
fuelectenerg-3144	1565	9	l.	l.	PROPN
fuelectenerg-3144	1565	10	chuang	chuang	PROPN
fuelectenerg-3144	1565	11	,	,	PUNCT
fuelectenerg-3144	1565	12	quantum	quantum	ADJ
fuelectenerg-3144	1565	13	computation	computation	NOUN
fuelectenerg-3144	1565	14	and	and	CCONJ
fuelectenerg-3144	1565	15	quantum	quantum	NOUN
fuelectenerg-3144	1565	16	information	information	NOUN
fuelectenerg-3144	1565	17	.	.	PUNCT
fuelectenerg-3144	1566	1	cambridge	cambridge	PROPN
fuelectenerg-3144	1566	2	university	university	PROPN
fuelectenerg-3144	1566	3	press	press	NOUN
fuelectenerg-3144	1566	4	,	,	PUNCT
fuelectenerg-3144	1566	5	10th	10th	ADJ
fuelectenerg-3144	1566	6	anniversary	anniversary	NOUN
fuelectenerg-3144	1566	7	ed	ed	NOUN
fuelectenerg-3144	1566	8	.	.	PROPN
fuelectenerg-3144	1566	9	,	,	PUNCT
fuelectenerg-3144	1566	10	2010	2010	NUM
fuelectenerg-3144	1566	11	.	.	PUNCT
fuelectenerg-3144	1567	1	[	[	X
fuelectenerg-3144	1567	2	17	17	NUM
fuelectenerg-3144	1567	3	]	]	X
fuelectenerg-3144	1567	4	m.	m.	PROPN
fuelectenerg-3144	1567	5	boyer	boyer	PROPN
fuelectenerg-3144	1567	6	,	,	PUNCT
fuelectenerg-3144	1567	7	g.	g.	PROPN
fuelectenerg-3144	1567	8	brassard	brassard	PROPN
fuelectenerg-3144	1567	9	,	,	PUNCT
fuelectenerg-3144	1567	10	p.	p.	NOUN
fuelectenerg-3144	1567	11	høyer	høyer	PROPN
fuelectenerg-3144	1567	12	,	,	PUNCT
fuelectenerg-3144	1567	13	and	and	CCONJ
fuelectenerg-3144	1567	14	a.	a.	PROPN
fuelectenerg-3144	1567	15	tapp	tapp	PROPN
fuelectenerg-3144	1567	16	,	,	PUNCT
fuelectenerg-3144	1567	17	“	"	PUNCT
fuelectenerg-3144	1567	18	tight	tight	ADJ
fuelectenerg-3144	1567	19	bounds	bound	NOUN
fuelectenerg-3144	1567	20	on	on	ADP
fuelectenerg-3144	1567	21	quantum	quantum	NOUN
fuelectenerg-3144	1567	22	searching	searching	NOUN
fuelectenerg-3144	1567	23	,	,	PUNCT
fuelectenerg-3144	1567	24	”	"	PUNCT
fuelectenerg-3144	1567	25	fortschritte	fortschritte	PROPN
fuelectenerg-3144	1567	26	der	der	PROPN
fuelectenerg-3144	1567	27	physik	physik	PROPN
fuelectenerg-3144	1567	28	,	,	PUNCT
fuelectenerg-3144	1567	29	vol	vol	NOUN
fuelectenerg-3144	1567	30	.	.	PROPN
fuelectenerg-3144	1567	31	46	46	NUM
fuelectenerg-3144	1567	32	,	,	PUNCT
fuelectenerg-3144	1567	33	no	no	INTJ
fuelectenerg-3144	1567	34	.	.	NOUN
fuelectenerg-3144	1567	35	4	4	NUM
fuelectenerg-3144	1567	36	-	-	SYM
fuelectenerg-3144	1567	37	5	5	NUM
fuelectenerg-3144	1567	38	,	,	PUNCT
fuelectenerg-3144	1567	39	pp	pp	ADJ
fuelectenerg-3144	1567	40	.	.	PUNCT
fuelectenerg-3144	1568	1	493–505	493–505	NUM
fuelectenerg-3144	1568	2	,	,	PUNCT
fuelectenerg-3144	1568	3	1998	1998	NUM
fuelectenerg-3144	1568	4	.	.	PUNCT
fuelectenerg-3144	1569	1	[	[	X
fuelectenerg-3144	1569	2	18	18	NUM
fuelectenerg-3144	1569	3	]	]	X
fuelectenerg-3144	1569	4	g.	g.	PROPN
fuelectenerg-3144	1569	5	brassard	brassard	PROPN
fuelectenerg-3144	1569	6	,	,	PUNCT
fuelectenerg-3144	1569	7	p.	p.	NOUN
fuelectenerg-3144	1569	8	høyer	høyer	PROPN
fuelectenerg-3144	1569	9	,	,	PUNCT
fuelectenerg-3144	1569	10	and	and	CCONJ
fuelectenerg-3144	1569	11	a.	a.	PROPN
fuelectenerg-3144	1569	12	tapp	tapp	PROPN
fuelectenerg-3144	1569	13	,	,	PUNCT
fuelectenerg-3144	1569	14	“	"	PUNCT
fuelectenerg-3144	1569	15	quantum	quantum	ADJ
fuelectenerg-3144	1569	16	counting	counting	NOUN
fuelectenerg-3144	1569	17	,	,	PUNCT
fuelectenerg-3144	1569	18	”	"	PUNCT
fuelectenerg-3144	1569	19	in	in	ADP
fuelectenerg-3144	1569	20	automata	automata	NOUN
fuelectenerg-3144	1569	21	,	,	PUNCT
fuelectenerg-3144	1569	22	languages	language	NOUN
fuelectenerg-3144	1569	23	and	and	CCONJ
fuelectenerg-3144	1569	24	programming	programming	NOUN
fuelectenerg-3144	1569	25	,	,	PUNCT
fuelectenerg-3144	1569	26	pp	pp	ADP
fuelectenerg-3144	1569	27	.	.	PUNCT
fuelectenerg-3144	1570	1	820–831	820–831	NUM
fuelectenerg-3144	1570	2	,	,	PUNCT
fuelectenerg-3144	1570	3	springer	springer	NOUN
fuelectenerg-3144	1570	4	berlin	berlin	PROPN
fuelectenerg-3144	1570	5	heidelberg	heidelberg	PROPN
fuelectenerg-3144	1570	6	,	,	PUNCT
fuelectenerg-3144	1570	7	1998	1998	NUM
fuelectenerg-3144	1570	8	.	.	PUNCT
fuelectenerg-3144	1571	1	[	[	X
fuelectenerg-3144	1571	2	19	19	NUM
fuelectenerg-3144	1571	3	]	]	X
fuelectenerg-3144	1571	4	d.	d.	PROPN
fuelectenerg-3144	1571	5	maslov	maslov	PROPN
fuelectenerg-3144	1571	6	and	and	CCONJ
fuelectenerg-3144	1571	7	g.	g.	PROPN
fuelectenerg-3144	1571	8	dueck	dueck	PROPN
fuelectenerg-3144	1571	9	,	,	PUNCT
fuelectenerg-3144	1571	10	“	"	PUNCT
fuelectenerg-3144	1571	11	improved	improved	ADJ
fuelectenerg-3144	1571	12	quantum	quantum	NOUN
fuelectenerg-3144	1571	13	cost	cost	NOUN
fuelectenerg-3144	1571	14	for	for	ADP
fuelectenerg-3144	1571	15	n	n	NUM
fuelectenerg-3144	1571	16	-	-	PUNCT
fuelectenerg-3144	1571	17	bit	bit	NOUN
fuelectenerg-3144	1571	18	toffoli	toffoli	PROPN
fuelectenerg-3144	1571	19	gates	gate	NOUN
fuelectenerg-3144	1571	20	,	,	PUNCT
fuelectenerg-3144	1571	21	”	"	PUNCT
fuelectenerg-3144	1571	22	electronics	electronics	NOUN
fuelectenerg-3144	1571	23	letters	letter	NOUN
fuelectenerg-3144	1571	24	,	,	PUNCT
fuelectenerg-3144	1571	25	vol	vol	NOUN
fuelectenerg-3144	1571	26	.	.	PROPN
fuelectenerg-3144	1571	27	39	39	NUM
fuelectenerg-3144	1571	28	,	,	PUNCT
fuelectenerg-3144	1571	29	pp	pp	ADJ
fuelectenerg-3144	1571	30	.	.	PUNCT
fuelectenerg-3144	1572	1	1790–1791	1790–1791	NUM
fuelectenerg-3144	1572	2	,	,	PUNCT
fuelectenerg-3144	1572	3	december	december	PROPN
fuelectenerg-3144	1572	4	2003	2003	NUM
fuelectenerg-3144	1572	5	.	.	PUNCT
fuelectenerg-3144	1573	1	[	[	X
fuelectenerg-3144	1573	2	20	20	NUM
fuelectenerg-3144	1573	3	]	]	PUNCT
fuelectenerg-3144	1573	4	a.	a.	NOUN
fuelectenerg-3144	1573	5	barenco	barenco	NOUN
fuelectenerg-3144	1573	6	,	,	PUNCT
fuelectenerg-3144	1573	7	c.	c.	PROPN
fuelectenerg-3144	1573	8	h.	h.	PROPN
fuelectenerg-3144	1573	9	bennett	bennett	PROPN
fuelectenerg-3144	1573	10	,	,	PUNCT
fuelectenerg-3144	1573	11	r.	r.	PROPN
fuelectenerg-3144	1573	12	cleve	cleve	PROPN
fuelectenerg-3144	1573	13	,	,	PUNCT
fuelectenerg-3144	1573	14	d.	d.	PROPN
fuelectenerg-3144	1573	15	p.	p.	PROPN
fuelectenerg-3144	1573	16	divincenzo	divincenzo	PROPN
fuelectenerg-3144	1573	17	,	,	PUNCT
fuelectenerg-3144	1573	18	n.	n.	NOUN
fuelectenerg-3144	1573	19	margolus	margolus	NOUN
fuelectenerg-3144	1573	20	,	,	PUNCT
fuelectenerg-3144	1573	21	p.	p.	PROPN
fuelectenerg-3144	1573	22	shor	shor	PROPN
fuelectenerg-3144	1573	23	,	,	PUNCT
fuelectenerg-3144	1573	24	t.	t.	PROPN
fuelectenerg-3144	1573	25	sleator	sleator	PROPN
fuelectenerg-3144	1573	26	,	,	PUNCT
fuelectenerg-3144	1573	27	j.	j.	PROPN
fuelectenerg-3144	1573	28	a.	a.	PROPN
fuelectenerg-3144	1573	29	smolin	smolin	PROPN
fuelectenerg-3144	1573	30	,	,	PUNCT
fuelectenerg-3144	1573	31	and	and	CCONJ
fuelectenerg-3144	1573	32	h.	h.	PROPN
fuelectenerg-3144	1573	33	weinfurter	weinfurter	NOUN
fuelectenerg-3144	1573	34	,	,	PUNCT
fuelectenerg-3144	1573	35	“	"	PUNCT
fuelectenerg-3144	1573	36	elementary	elementary	ADJ
fuelectenerg-3144	1573	37	gates	gate	NOUN
fuelectenerg-3144	1573	38	for	for	ADP
fuelectenerg-3144	1573	39	quantum	quantum	ADJ
fuelectenerg-3144	1573	40	computation	computation	NOUN
fuelectenerg-3144	1573	41	,	,	PUNCT
fuelectenerg-3144	1573	42	”	"	PUNCT
fuelectenerg-3144	1573	43	phys	phy	NOUN
fuelectenerg-3144	1573	44	.	.	PUNCT
fuelectenerg-3144	1574	1	rev	rev	PROPN
fuelectenerg-3144	1574	2	.	.	PROPN
fuelectenerg-3144	1575	1	a	a	DET
fuelectenerg-3144	1575	2	,	,	PUNCT
fuelectenerg-3144	1575	3	vol	vol	NOUN
fuelectenerg-3144	1575	4	.	.	PROPN
fuelectenerg-3144	1576	1	52	52	NUM
fuelectenerg-3144	1576	2	,	,	PUNCT
fuelectenerg-3144	1576	3	pp	pp	ADJ
fuelectenerg-3144	1576	4	.	.	PUNCT
fuelectenerg-3144	1577	1	3457	3457	NUM
fuelectenerg-3144	1577	2	–	–	PUNCT
fuelectenerg-3144	1577	3	3467	3467	NUM
fuelectenerg-3144	1577	4	,	,	PUNCT
fuelectenerg-3144	1577	5	nov	nov	PROPN
fuelectenerg-3144	1577	6	1995	1995	NUM
fuelectenerg-3144	1577	7	.	.	PUNCT
fuelectenerg-3144	1578	1	47	47	NUM
fuelectenerg-3144	1578	2	214	214	NUM
fuelectenerg-3144	1578	3	e.	e.	PROPN
fuelectenerg-3144	1578	4	tsai	tsai	PROPN
fuelectenerg-3144	1578	5	,	,	PUNCT
fuelectenerg-3144	1578	6	m.	m.	PROPN
fuelectenerg-3144	1578	7	perkowski	perkowski	PROPN
fuelectenerg-3144	1578	8	a	a	DET
fuelectenerg-3144	1578	9	quantum	quantum	ADJ
fuelectenerg-3144	1578	10	algorithm	algorithm	NOUN
fuelectenerg-3144	1578	11	for	for	ADP
fuelectenerg-3144	1578	12	automata	automata	NOUN
fuelectenerg-3144	1578	13	encoding	encode	VERB
fuelectenerg-3144	1578	14	215	215	NUM
fuelectenerg-3144	1578	15	references	reference	NOUN
fuelectenerg-3144	1578	16	[	[	X
fuelectenerg-3144	1578	17	1	1	NUM
fuelectenerg-3144	1578	18	]	]	PUNCT
fuelectenerg-3144	1578	19	j.	j.	PROPN
fuelectenerg-3144	1578	20	m.	m.	PROPN
fuelectenerg-3144	1578	21	gambetta	gambetta	PROPN
fuelectenerg-3144	1578	22	,	,	PUNCT
fuelectenerg-3144	1578	23	j.	j.	PROPN
fuelectenerg-3144	1578	24	m.	m.	PROPN
fuelectenerg-3144	1578	25	chow	chow	PROPN
fuelectenerg-3144	1578	26	,	,	PUNCT
fuelectenerg-3144	1578	27	and	and	CCONJ
fuelectenerg-3144	1578	28	m.	m.	PROPN
fuelectenerg-3144	1578	29	steffen	steffen	PROPN
fuelectenerg-3144	1578	30	,	,	PUNCT
fuelectenerg-3144	1578	31	“	"	PUNCT
fuelectenerg-3144	1578	32	building	build	VERB
fuelectenerg-3144	1578	33	logical	logical	ADJ
fuelectenerg-3144	1578	34	qubits	qubit	NOUN
fuelectenerg-3144	1578	35	in	in	ADP
fuelectenerg-3144	1578	36	a	a	DET
fuelectenerg-3144	1578	37	superconducting	superconducte	VERB
fuelectenerg-3144	1578	38	quantum	quantum	ADJ
fuelectenerg-3144	1578	39	computing	computing	NOUN
fuelectenerg-3144	1578	40	system	system	NOUN
fuelectenerg-3144	1578	41	,	,	PUNCT
fuelectenerg-3144	1578	42	”	"	PUNCT
fuelectenerg-3144	1578	43	npj	npj	X
fuelectenerg-3144	1578	44	quantum	quantum	NOUN
fuelectenerg-3144	1578	45	information	information	NOUN
fuelectenerg-3144	1578	46	,	,	PUNCT
fuelectenerg-3144	1578	47	vol	vol	NOUN
fuelectenerg-3144	1578	48	.	.	PROPN
fuelectenerg-3144	1579	1	3	3	NUM
fuelectenerg-3144	1579	2	,	,	PUNCT
fuelectenerg-3144	1579	3	p.	p.	NOUN
fuelectenerg-3144	1579	4	2	2	NUM
fuelectenerg-3144	1579	5	,	,	PUNCT
fuelectenerg-3144	1579	6	jan	jan	PROPN
fuelectenerg-3144	1579	7	.	.	PROPN
fuelectenerg-3144	1579	8	2017	2017	NUM
fuelectenerg-3144	1579	9	.	.	PUNCT
fuelectenerg-3144	1580	1	[	[	X
fuelectenerg-3144	1580	2	2	2	NUM
fuelectenerg-3144	1580	3	]	]	PUNCT
fuelectenerg-3144	1580	4	l.	l.	PROPN
fuelectenerg-3144	1580	5	k.	k.	PROPN
fuelectenerg-3144	1580	6	grover	grover	PROPN
fuelectenerg-3144	1580	7	,	,	PUNCT
fuelectenerg-3144	1580	8	“	"	PUNCT
fuelectenerg-3144	1580	9	a	a	DET
fuelectenerg-3144	1580	10	fast	fast	ADJ
fuelectenerg-3144	1580	11	quantum	quantum	ADJ
fuelectenerg-3144	1580	12	mechanical	mechanical	ADJ
fuelectenerg-3144	1580	13	algorithm	algorithm	NOUN
fuelectenerg-3144	1580	14	for	for	ADP
fuelectenerg-3144	1580	15	database	database	NOUN
fuelectenerg-3144	1580	16	search	search	NOUN
fuelectenerg-3144	1580	17	,	,	PUNCT
fuelectenerg-3144	1580	18	”	"	PUNCT
fuelectenerg-3144	1580	19	in	in	ADP
fuelectenerg-3144	1580	20	proceedings	proceeding	NOUN
fuelectenerg-3144	1580	21	of	of	ADP
fuelectenerg-3144	1580	22	the	the	DET
fuelectenerg-3144	1580	23	twenty	twenty	NUM
fuelectenerg-3144	1580	24	-	-	PUNCT
fuelectenerg-3144	1580	25	eighth	eighth	ADJ
fuelectenerg-3144	1580	26	annual	annual	ADJ
fuelectenerg-3144	1580	27	acm	acm	NOUN
fuelectenerg-3144	1580	28	symposium	symposium	NOUN
fuelectenerg-3144	1580	29	on	on	ADP
fuelectenerg-3144	1580	30	theory	theory	NOUN
fuelectenerg-3144	1580	31	of	of	ADP
fuelectenerg-3144	1580	32	computing	computing	NOUN
fuelectenerg-3144	1580	33	,	,	PUNCT
fuelectenerg-3144	1580	34	pp	pp	ADJ
fuelectenerg-3144	1580	35	.	.	PUNCT
fuelectenerg-3144	1581	1	212–219	212–219	NUM
fuelectenerg-3144	1581	2	,	,	PUNCT
fuelectenerg-3144	1581	3	may	may	PROPN
fuelectenerg-3144	1581	4	1996	1996	NUM
fuelectenerg-3144	1581	5	.	.	PUNCT
fuelectenerg-3144	1582	1	[	[	X
fuelectenerg-3144	1582	2	3	3	X
fuelectenerg-3144	1582	3	]	]	PUNCT
fuelectenerg-3144	1582	4	l.	l.	PROPN
fuelectenerg-3144	1582	5	k.	k.	PROPN
fuelectenerg-3144	1582	6	grover	grover	PROPN
fuelectenerg-3144	1582	7	,	,	PUNCT
fuelectenerg-3144	1582	8	“	"	PUNCT
fuelectenerg-3144	1582	9	quantum	quantum	ADJ
fuelectenerg-3144	1582	10	mechanics	mechanic	NOUN
fuelectenerg-3144	1582	11	helps	help	VERB
fuelectenerg-3144	1582	12	in	in	ADP
fuelectenerg-3144	1582	13	searching	search	VERB
fuelectenerg-3144	1582	14	for	for	ADP
fuelectenerg-3144	1582	15	a	a	DET
fuelectenerg-3144	1582	16	needle	needle	NOUN
fuelectenerg-3144	1582	17	in	in	ADP
fuelectenerg-3144	1582	18	a	a	DET
fuelectenerg-3144	1582	19	haystack	haystack	NOUN
fuelectenerg-3144	1582	20	,	,	PUNCT
fuelectenerg-3144	1582	21	”	"	PUNCT
fuelectenerg-3144	1582	22	phys	phy	NOUN
fuelectenerg-3144	1582	23	.	.	PUNCT
fuelectenerg-3144	1583	1	rev	rev	PROPN
fuelectenerg-3144	1583	2	.	.	PROPN
fuelectenerg-3144	1583	3	lett	lett	PROPN
fuelectenerg-3144	1583	4	.	.	PROPN
fuelectenerg-3144	1583	5	,	,	PUNCT
fuelectenerg-3144	1583	6	vol	vol	NOUN
fuelectenerg-3144	1583	7	.	.	PROPN
fuelectenerg-3144	1583	8	79	79	NUM
fuelectenerg-3144	1583	9	,	,	PUNCT
fuelectenerg-3144	1583	10	pp	pp	ADJ
fuelectenerg-3144	1583	11	.	.	PUNCT
fuelectenerg-3144	1584	1	325–328	325–328	NUM
fuelectenerg-3144	1584	2	,	,	PUNCT
fuelectenerg-3144	1584	3	jul	jul	PROPN
fuelectenerg-3144	1584	4	1997	1997	NUM
fuelectenerg-3144	1584	5	.	.	PUNCT
fuelectenerg-3144	1585	1	[	[	X
fuelectenerg-3144	1585	2	4	4	X
fuelectenerg-3144	1585	3	]	]	PUNCT
fuelectenerg-3144	1585	4	l.	l.	PROPN
fuelectenerg-3144	1585	5	k.	k.	PROPN
fuelectenerg-3144	1585	6	grover	grover	PROPN
fuelectenerg-3144	1585	7	,	,	PUNCT
fuelectenerg-3144	1585	8	“	"	PUNCT
fuelectenerg-3144	1585	9	a	a	DET
fuelectenerg-3144	1585	10	framework	framework	NOUN
fuelectenerg-3144	1585	11	for	for	ADP
fuelectenerg-3144	1585	12	fast	fast	ADJ
fuelectenerg-3144	1585	13	quantum	quantum	ADJ
fuelectenerg-3144	1585	14	mechanical	mechanical	ADJ
fuelectenerg-3144	1585	15	algorithms	algorithm	NOUN
fuelectenerg-3144	1585	16	,	,	PUNCT
fuelectenerg-3144	1585	17	”	"	PUNCT
fuelectenerg-3144	1585	18	in	in	ADP
fuelectenerg-3144	1585	19	proceedings	proceeding	NOUN
fuelectenerg-3144	1585	20	of	of	ADP
fuelectenerg-3144	1585	21	the	the	DET
fuelectenerg-3144	1585	22	thirtieth	thirtieth	ADJ
fuelectenerg-3144	1585	23	annual	annual	ADJ
fuelectenerg-3144	1585	24	acm	acm	NOUN
fuelectenerg-3144	1585	25	symposium	symposium	NOUN
fuelectenerg-3144	1585	26	on	on	ADP
fuelectenerg-3144	1585	27	theory	theory	NOUN
fuelectenerg-3144	1585	28	of	of	ADP
fuelectenerg-3144	1585	29	computing	computing	NOUN
fuelectenerg-3144	1585	30	,	,	PUNCT
fuelectenerg-3144	1585	31	stoc	stoc	NOUN
fuelectenerg-3144	1585	32	’	'	PUNCT
fuelectenerg-3144	1585	33	98	98	NUM
fuelectenerg-3144	1585	34	,	,	PUNCT
fuelectenerg-3144	1585	35	(	(	PUNCT
fuelectenerg-3144	1585	36	new	new	PROPN
fuelectenerg-3144	1585	37	york	york	PROPN
fuelectenerg-3144	1585	38	,	,	PUNCT
fuelectenerg-3144	1585	39	ny	ny	PROPN
fuelectenerg-3144	1585	40	,	,	PUNCT
fuelectenerg-3144	1585	41	usa	usa	PROPN
fuelectenerg-3144	1585	42	)	)	PUNCT
fuelectenerg-3144	1585	43	,	,	PUNCT
fuelectenerg-3144	1585	44	pp	pp	ADJ
fuelectenerg-3144	1585	45	.	.	PUNCT
fuelectenerg-3144	1586	1	53–62	53–62	NUM
fuelectenerg-3144	1586	2	,	,	PUNCT
fuelectenerg-3144	1586	3	acm	acm	PROPN
fuelectenerg-3144	1586	4	,	,	PUNCT
fuelectenerg-3144	1586	5	1998	1998	NUM
fuelectenerg-3144	1586	6	.	.	PUNCT
fuelectenerg-3144	1587	1	[	[	X
fuelectenerg-3144	1587	2	5	5	X
fuelectenerg-3144	1587	3	]	]	X
fuelectenerg-3144	1587	4	g.	g.	PROPN
fuelectenerg-3144	1587	5	wendin	wendin	PROPN
fuelectenerg-3144	1587	6	,	,	PUNCT
fuelectenerg-3144	1587	7	“	"	PUNCT
fuelectenerg-3144	1587	8	quantum	quantum	ADJ
fuelectenerg-3144	1587	9	information	information	NOUN
fuelectenerg-3144	1587	10	processing	processing	NOUN
fuelectenerg-3144	1587	11	with	with	ADP
fuelectenerg-3144	1587	12	superconducting	superconducte	VERB
fuelectenerg-3144	1587	13	circuits	circuit	NOUN
fuelectenerg-3144	1587	14	:	:	PUNCT
fuelectenerg-3144	1587	15	a	a	DET
fuelectenerg-3144	1587	16	review	review	NOUN
fuelectenerg-3144	1587	17	,	,	PUNCT
fuelectenerg-3144	1587	18	”	"	PUNCT
fuelectenerg-3144	1587	19	reports	report	NOUN
fuelectenerg-3144	1587	20	on	on	ADP
fuelectenerg-3144	1587	21	progress	progress	NOUN
fuelectenerg-3144	1587	22	in	in	ADP
fuelectenerg-3144	1587	23	physics	physics	NOUN
fuelectenerg-3144	1587	24	,	,	PUNCT
fuelectenerg-3144	1587	25	vol	vol	NOUN
fuelectenerg-3144	1587	26	.	.	PROPN
fuelectenerg-3144	1587	27	80	80	NUM
fuelectenerg-3144	1587	28	,	,	PUNCT
fuelectenerg-3144	1587	29	no	no	INTJ
fuelectenerg-3144	1587	30	.	.	NOUN
fuelectenerg-3144	1587	31	10	10	NUM
fuelectenerg-3144	1587	32	,	,	PUNCT
fuelectenerg-3144	1587	33	p.	p.	NOUN
fuelectenerg-3144	1587	34	106001	106001	NUM
fuelectenerg-3144	1587	35	,	,	PUNCT
fuelectenerg-3144	1587	36	2017	2017	NUM
fuelectenerg-3144	1587	37	.	.	PUNCT
fuelectenerg-3144	1588	1	[	[	X
fuelectenerg-3144	1588	2	6	6	NUM
fuelectenerg-3144	1588	3	]	]	PUNCT
fuelectenerg-3144	1588	4	j.	j.	PROPN
fuelectenerg-3144	1588	5	hartmanis	hartmanis	PROPN
fuelectenerg-3144	1588	6	,	,	PUNCT
fuelectenerg-3144	1588	7	“	"	PUNCT
fuelectenerg-3144	1588	8	on	on	ADP
fuelectenerg-3144	1588	9	the	the	DET
fuelectenerg-3144	1588	10	state	state	NOUN
fuelectenerg-3144	1588	11	assignment	assignment	NOUN
fuelectenerg-3144	1588	12	problem	problem	NOUN
fuelectenerg-3144	1588	13	for	for	ADP
fuelectenerg-3144	1588	14	sequential	sequential	ADJ
fuelectenerg-3144	1588	15	machines	machine	NOUN
fuelectenerg-3144	1588	16	.	.	PUNCT
fuelectenerg-3144	1589	1	i	i	PRON
fuelectenerg-3144	1589	2	,	,	PUNCT
fuelectenerg-3144	1589	3	”	"	PUNCT
fuelectenerg-3144	1589	4	ire	ire	ADJ
fuelectenerg-3144	1589	5	transactions	transaction	NOUN
fuelectenerg-3144	1589	6	on	on	ADP
fuelectenerg-3144	1589	7	electronic	electronic	ADJ
fuelectenerg-3144	1589	8	computers	computer	NOUN
fuelectenerg-3144	1589	9	,	,	PUNCT
fuelectenerg-3144	1589	10	vol	vol	NOUN
fuelectenerg-3144	1589	11	.	.	PUNCT
fuelectenerg-3144	1590	1	ec-10	ec-10	PRON
fuelectenerg-3144	1590	2	,	,	PUNCT
fuelectenerg-3144	1590	3	pp	pp	ADJ
fuelectenerg-3144	1590	4	.	.	PUNCT
fuelectenerg-3144	1591	1	157–165	157–165	NUM
fuelectenerg-3144	1591	2	,	,	PUNCT
fuelectenerg-3144	1591	3	june	june	PROPN
fuelectenerg-3144	1591	4	1961	1961	NUM
fuelectenerg-3144	1591	5	.	.	PUNCT
fuelectenerg-3144	1592	1	[	[	X
fuelectenerg-3144	1592	2	7	7	X
fuelectenerg-3144	1592	3	]	]	X
fuelectenerg-3144	1592	4	r.	r.	PROPN
fuelectenerg-3144	1592	5	e.	e.	PROPN
fuelectenerg-3144	1592	6	stearns	stearns	PROPN
fuelectenerg-3144	1592	7	and	and	CCONJ
fuelectenerg-3144	1592	8	j.	j.	PROPN
fuelectenerg-3144	1592	9	hartmanis	hartmanis	PROPN
fuelectenerg-3144	1592	10	,	,	PUNCT
fuelectenerg-3144	1592	11	“	"	PUNCT
fuelectenerg-3144	1592	12	on	on	ADP
fuelectenerg-3144	1592	13	the	the	DET
fuelectenerg-3144	1592	14	state	state	NOUN
fuelectenerg-3144	1592	15	assignment	assignment	NOUN
fuelectenerg-3144	1592	16	problem	problem	NOUN
fuelectenerg-3144	1592	17	for	for	ADP
fuelectenerg-3144	1592	18	sequential	sequential	ADJ
fuelectenerg-3144	1592	19	machines	machine	NOUN
fuelectenerg-3144	1592	20	.	.	PUNCT
fuelectenerg-3144	1593	1	ii	ii	PROPN
fuelectenerg-3144	1593	2	,	,	PUNCT
fuelectenerg-3144	1593	3	”	"	PUNCT
fuelectenerg-3144	1593	4	ire	ire	ADJ
fuelectenerg-3144	1593	5	transactions	transaction	NOUN
fuelectenerg-3144	1593	6	on	on	ADP
fuelectenerg-3144	1593	7	electronic	electronic	ADJ
fuelectenerg-3144	1593	8	computers	computer	NOUN
fuelectenerg-3144	1593	9	,	,	PUNCT
fuelectenerg-3144	1593	10	vol	vol	NOUN
fuelectenerg-3144	1593	11	.	.	PUNCT
fuelectenerg-3144	1594	1	ec-10	ec-10	PRON
fuelectenerg-3144	1594	2	,	,	PUNCT
fuelectenerg-3144	1594	3	pp	pp	ADJ
fuelectenerg-3144	1594	4	.	.	PUNCT
fuelectenerg-3144	1595	1	593–603	593–603	NUM
fuelectenerg-3144	1595	2	,	,	PUNCT
fuelectenerg-3144	1595	3	dec	dec	PROPN
fuelectenerg-3144	1595	4	.	.	PROPN
fuelectenerg-3144	1595	5	1961	1961	NUM
fuelectenerg-3144	1595	6	.	.	PUNCT
fuelectenerg-3144	1596	1	[	[	X
fuelectenerg-3144	1596	2	8	8	NUM
fuelectenerg-3144	1596	3	]	]	X
fuelectenerg-3144	1596	4	l.	l.	PROPN
fuelectenerg-3144	1596	5	benini	benini	PROPN
fuelectenerg-3144	1596	6	and	and	CCONJ
fuelectenerg-3144	1596	7	g.	g.	PROPN
fuelectenerg-3144	1596	8	d.	d.	PROPN
fuelectenerg-3144	1596	9	micheli	micheli	PROPN
fuelectenerg-3144	1596	10	,	,	PUNCT
fuelectenerg-3144	1596	11	“	"	PUNCT
fuelectenerg-3144	1596	12	state	state	NOUN
fuelectenerg-3144	1596	13	assignment	assignment	NOUN
fuelectenerg-3144	1596	14	for	for	ADP
fuelectenerg-3144	1596	15	low	low	ADJ
fuelectenerg-3144	1596	16	power	power	NOUN
fuelectenerg-3144	1596	17	dissipation	dissipation	NOUN
fuelectenerg-3144	1596	18	,	,	PUNCT
fuelectenerg-3144	1596	19	”	"	PUNCT
fuelectenerg-3144	1596	20	ieee	ieee	NOUN
fuelectenerg-3144	1596	21	journal	journal	NOUN
fuelectenerg-3144	1596	22	of	of	ADP
fuelectenerg-3144	1596	23	solid	solid	ADJ
fuelectenerg-3144	1596	24	-	-	PUNCT
fuelectenerg-3144	1596	25	state	state	NOUN
fuelectenerg-3144	1596	26	circuits	circuit	NOUN
fuelectenerg-3144	1596	27	,	,	PUNCT
fuelectenerg-3144	1596	28	vol	vol	NOUN
fuelectenerg-3144	1596	29	.	.	PROPN
fuelectenerg-3144	1596	30	30	30	NUM
fuelectenerg-3144	1596	31	,	,	PUNCT
fuelectenerg-3144	1596	32	pp	pp	ADJ
fuelectenerg-3144	1596	33	.	.	PUNCT
fuelectenerg-3144	1597	1	258–268	258–268	NUM
fuelectenerg-3144	1597	2	,	,	PUNCT
fuelectenerg-3144	1597	3	mar	mar	PROPN
fuelectenerg-3144	1597	4	.	.	PROPN
fuelectenerg-3144	1597	5	1995	1995	NUM
fuelectenerg-3144	1597	6	.	.	PUNCT
fuelectenerg-3144	1598	1	[	[	X
fuelectenerg-3144	1598	2	9	9	NUM
fuelectenerg-3144	1598	3	]	]	X
fuelectenerg-3144	1598	4	g.	g.	PROPN
fuelectenerg-3144	1598	5	d.	d.	PROPN
fuelectenerg-3144	1598	6	hachtel	hachtel	PROPN
fuelectenerg-3144	1598	7	,	,	PUNCT
fuelectenerg-3144	1598	8	m.	m.	PROPN
fuelectenerg-3144	1598	9	hermida	hermida	PROPN
fuelectenerg-3144	1598	10	,	,	PUNCT
fuelectenerg-3144	1598	11	a.	a.	PROPN
fuelectenerg-3144	1598	12	pardo	pardo	PROPN
fuelectenerg-3144	1598	13	,	,	PUNCT
fuelectenerg-3144	1598	14	m.	m.	NOUN
fuelectenerg-3144	1598	15	poncino	poncino	PROPN
fuelectenerg-3144	1598	16	,	,	PUNCT
fuelectenerg-3144	1598	17	and	and	CCONJ
fuelectenerg-3144	1598	18	f.	f.	PROPN
fuelectenerg-3144	1598	19	somenzi	somenzi	PROPN
fuelectenerg-3144	1598	20	,	,	PUNCT
fuelectenerg-3144	1598	21	“	"	PUNCT
fuelectenerg-3144	1598	22	re	re	VERB
fuelectenerg-3144	1598	23	-	-	VERB
fuelectenerg-3144	1598	24	encoding	encode	VERB
fuelectenerg-3144	1598	25	sequential	sequential	ADJ
fuelectenerg-3144	1598	26	circuits	circuit	NOUN
fuelectenerg-3144	1598	27	to	to	PART
fuelectenerg-3144	1598	28	reduce	reduce	VERB
fuelectenerg-3144	1598	29	power	power	NOUN
fuelectenerg-3144	1598	30	dissipation	dissipation	NOUN
fuelectenerg-3144	1598	31	,	,	PUNCT
fuelectenerg-3144	1598	32	”	"	PUNCT
fuelectenerg-3144	1598	33	in	in	ADP
fuelectenerg-3144	1598	34	proceedings	proceeding	NOUN
fuelectenerg-3144	1598	35	of	of	ADP
fuelectenerg-3144	1598	36	the	the	DET
fuelectenerg-3144	1598	37	1994	1994	NUM
fuelectenerg-3144	1598	38	ieee	ieee	PROPN
fuelectenerg-3144	1598	39	/	/	SYM
fuelectenerg-3144	1598	40	acm	acm	PROPN
fuelectenerg-3144	1598	41	international	international	ADJ
fuelectenerg-3144	1598	42	conference	conference	NOUN
fuelectenerg-3144	1598	43	on	on	ADP
fuelectenerg-3144	1598	44	computer	computer	NOUN
fuelectenerg-3144	1598	45	-	-	PUNCT
fuelectenerg-3144	1598	46	aided	aid	VERB
fuelectenerg-3144	1598	47	design	design	NOUN
fuelectenerg-3144	1598	48	,	,	PUNCT
fuelectenerg-3144	1598	49	iccad	iccad	ADJ
fuelectenerg-3144	1598	50	’	'	PUNCT
fuelectenerg-3144	1598	51	94	94	NUM
fuelectenerg-3144	1598	52	,	,	PUNCT
fuelectenerg-3144	1598	53	(	(	PUNCT
fuelectenerg-3144	1598	54	los	los	PROPN
fuelectenerg-3144	1598	55	alamitos	alamitos	PROPN
fuelectenerg-3144	1598	56	,	,	PUNCT
fuelectenerg-3144	1598	57	ca	ca	PROPN
fuelectenerg-3144	1598	58	,	,	PUNCT
fuelectenerg-3144	1598	59	usa	usa	PROPN
fuelectenerg-3144	1598	60	)	)	PUNCT
fuelectenerg-3144	1598	61	,	,	PUNCT
fuelectenerg-3144	1598	62	pp	pp	PROPN
fuelectenerg-3144	1598	63	.	.	PUNCT
fuelectenerg-3144	1599	1	70–73	70–73	NUM
fuelectenerg-3144	1599	2	,	,	PUNCT
fuelectenerg-3144	1599	3	ieee	ieee	NOUN
fuelectenerg-3144	1599	4	computer	computer	NOUN
fuelectenerg-3144	1599	5	society	society	PROPN
fuelectenerg-3144	1599	6	press	press	NOUN
fuelectenerg-3144	1599	7	,	,	PUNCT
fuelectenerg-3144	1599	8	1994	1994	NUM
fuelectenerg-3144	1599	9	.	.	PUNCT
fuelectenerg-3144	1600	1	[	[	X
fuelectenerg-3144	1600	2	10	10	NUM
fuelectenerg-3144	1600	3	]	]	X
fuelectenerg-3144	1600	4	g.	g.	PROPN
fuelectenerg-3144	1600	5	d.	d.	PROPN
fuelectenerg-3144	1600	6	micheli	micheli	PROPN
fuelectenerg-3144	1600	7	,	,	PUNCT
fuelectenerg-3144	1600	8	r.	r.	PROPN
fuelectenerg-3144	1600	9	k.	k.	PROPN
fuelectenerg-3144	1600	10	brayton	brayton	PROPN
fuelectenerg-3144	1600	11	,	,	PUNCT
fuelectenerg-3144	1600	12	and	and	CCONJ
fuelectenerg-3144	1600	13	a.	a.	PROPN
fuelectenerg-3144	1600	14	sangiovanni	sangiovanni	PROPN
fuelectenerg-3144	1600	15	-	-	PUNCT
fuelectenerg-3144	1600	16	vincentelli	vincentelli	NOUN
fuelectenerg-3144	1600	17	,	,	PUNCT
fuelectenerg-3144	1600	18	“	"	PUNCT
fuelectenerg-3144	1600	19	optimal	optimal	ADJ
fuelectenerg-3144	1600	20	state	state	NOUN
fuelectenerg-3144	1600	21	assignment	assignment	NOUN
fuelectenerg-3144	1600	22	for	for	ADP
fuelectenerg-3144	1600	23	finite	finite	ADJ
fuelectenerg-3144	1600	24	state	state	NOUN
fuelectenerg-3144	1600	25	machines	machine	NOUN
fuelectenerg-3144	1600	26	,	,	PUNCT
fuelectenerg-3144	1600	27	”	"	PUNCT
fuelectenerg-3144	1600	28	ieee	ieee	NOUN
fuelectenerg-3144	1600	29	transactions	transaction	NOUN
fuelectenerg-3144	1600	30	on	on	ADP
fuelectenerg-3144	1600	31	computer	computer	NOUN
fuelectenerg-3144	1600	32	-	-	PUNCT
fuelectenerg-3144	1600	33	aided	aid	VERB
fuelectenerg-3144	1600	34	design	design	NOUN
fuelectenerg-3144	1600	35	of	of	ADP
fuelectenerg-3144	1600	36	integrated	integrated	ADJ
fuelectenerg-3144	1600	37	circuits	circuit	NOUN
fuelectenerg-3144	1600	38	and	and	CCONJ
fuelectenerg-3144	1600	39	systems	system	NOUN
fuelectenerg-3144	1600	40	,	,	PUNCT
fuelectenerg-3144	1600	41	vol	vol	NOUN
fuelectenerg-3144	1600	42	.	.	PROPN
fuelectenerg-3144	1600	43	4	4	NUM
fuelectenerg-3144	1600	44	,	,	PUNCT
fuelectenerg-3144	1600	45	pp	pp	ADJ
fuelectenerg-3144	1600	46	.	.	PUNCT
fuelectenerg-3144	1601	1	269–285	269–285	NUM
fuelectenerg-3144	1601	2	,	,	PUNCT
fuelectenerg-3144	1601	3	july	july	PROPN
fuelectenerg-3144	1601	4	1985	1985	NUM
fuelectenerg-3144	1601	5	.	.	PUNCT
fuelectenerg-3144	1602	1	[	[	X
fuelectenerg-3144	1602	2	11	11	NUM
fuelectenerg-3144	1602	3	]	]	PUNCT
fuelectenerg-3144	1602	4	t.	t.	PROPN
fuelectenerg-3144	1602	5	villa	villa	PROPN
fuelectenerg-3144	1602	6	and	and	CCONJ
fuelectenerg-3144	1602	7	a.	a.	PROPN
fuelectenerg-3144	1602	8	sangiovanni	sangiovanni	PROPN
fuelectenerg-3144	1602	9	-	-	PUNCT
fuelectenerg-3144	1602	10	vincentelli	vincentelli	NOUN
fuelectenerg-3144	1602	11	,	,	PUNCT
fuelectenerg-3144	1602	12	“	"	PUNCT
fuelectenerg-3144	1602	13	nova	nova	X
fuelectenerg-3144	1602	14	:	:	PUNCT
fuelectenerg-3144	1602	15	state	state	NOUN
fuelectenerg-3144	1602	16	assignment	assignment	NOUN
fuelectenerg-3144	1602	17	of	of	ADP
fuelectenerg-3144	1602	18	finite	finite	ADJ
fuelectenerg-3144	1602	19	state	state	NOUN
fuelectenerg-3144	1602	20	machines	machine	NOUN
fuelectenerg-3144	1602	21	for	for	ADP
fuelectenerg-3144	1602	22	optimal	optimal	ADJ
fuelectenerg-3144	1602	23	two	two	NUM
fuelectenerg-3144	1602	24	-	-	PUNCT
fuelectenerg-3144	1602	25	level	level	NOUN
fuelectenerg-3144	1602	26	logic	logic	NOUN
fuelectenerg-3144	1602	27	implementation	implementation	NOUN
fuelectenerg-3144	1602	28	,	,	PUNCT
fuelectenerg-3144	1602	29	”	"	PUNCT
fuelectenerg-3144	1602	30	ieee	ieee	NOUN
fuelectenerg-3144	1602	31	transactions	transaction	NOUN
fuelectenerg-3144	1602	32	on	on	ADP
fuelectenerg-3144	1602	33	computer	computer	NOUN
fuelectenerg-3144	1602	34	-	-	PUNCT
fuelectenerg-3144	1602	35	aided	aid	VERB
fuelectenerg-3144	1602	36	design	design	NOUN
fuelectenerg-3144	1602	37	of	of	ADP
fuelectenerg-3144	1602	38	integrated	integrated	ADJ
fuelectenerg-3144	1602	39	circuits	circuit	NOUN
fuelectenerg-3144	1602	40	and	and	CCONJ
fuelectenerg-3144	1602	41	systems	system	NOUN
fuelectenerg-3144	1602	42	,	,	PUNCT
fuelectenerg-3144	1602	43	vol	vol	NOUN
fuelectenerg-3144	1602	44	.	.	PROPN
fuelectenerg-3144	1602	45	9	9	NUM
fuelectenerg-3144	1602	46	,	,	PUNCT
fuelectenerg-3144	1602	47	pp	pp	ADJ
fuelectenerg-3144	1602	48	.	.	PUNCT
fuelectenerg-3144	1603	1	905–924	905–924	NUM
fuelectenerg-3144	1603	2	,	,	PUNCT
fuelectenerg-3144	1603	3	sept	sept	PROPN
fuelectenerg-3144	1603	4	.	.	PROPN
fuelectenerg-3144	1603	5	1990	1990	NUM
fuelectenerg-3144	1603	6	.	.	PUNCT
fuelectenerg-3144	1604	1	[	[	X
fuelectenerg-3144	1604	2	12	12	NUM
fuelectenerg-3144	1604	3	]	]	X
fuelectenerg-3144	1604	4	s.	s.	PROPN
fuelectenerg-3144	1604	5	devadas	devadas	PROPN
fuelectenerg-3144	1604	6	and	and	CCONJ
fuelectenerg-3144	1604	7	a.	a.	PROPN
fuelectenerg-3144	1604	8	r.	r.	PROPN
fuelectenerg-3144	1604	9	newton	newton	PROPN
fuelectenerg-3144	1604	10	,	,	PUNCT
fuelectenerg-3144	1604	11	“	"	PUNCT
fuelectenerg-3144	1604	12	exact	exact	ADJ
fuelectenerg-3144	1604	13	algorithms	algorithm	NOUN
fuelectenerg-3144	1604	14	for	for	ADP
fuelectenerg-3144	1604	15	output	output	NOUN
fuelectenerg-3144	1604	16	encoding	encoding	NOUN
fuelectenerg-3144	1604	17	,	,	PUNCT
fuelectenerg-3144	1604	18	state	state	NOUN
fuelectenerg-3144	1604	19	assignment	assignment	NOUN
fuelectenerg-3144	1604	20	and	and	CCONJ
fuelectenerg-3144	1604	21	four	four	NUM
fuelectenerg-3144	1604	22	-	-	PUNCT
fuelectenerg-3144	1604	23	level	level	NOUN
fuelectenerg-3144	1604	24	boolean	boolean	ADJ
fuelectenerg-3144	1604	25	minimization	minimization	NOUN
fuelectenerg-3144	1604	26	,	,	PUNCT
fuelectenerg-3144	1604	27	”	"	PUNCT
fuelectenerg-3144	1604	28	in	in	ADP
fuelectenerg-3144	1604	29	system	system	NOUN
fuelectenerg-3144	1604	30	sciences	science	NOUN
fuelectenerg-3144	1604	31	,	,	PUNCT
fuelectenerg-3144	1604	32	1990	1990	NUM
fuelectenerg-3144	1604	33	.	.	PUNCT
fuelectenerg-3144	1605	1	,	,	PUNCT
fuelectenerg-3144	1605	2	proceedings	proceeding	NOUN
fuelectenerg-3144	1605	3	of	of	ADP
fuelectenerg-3144	1605	4	the	the	DET
fuelectenerg-3144	1605	5	twenty	twenty	NUM
fuelectenerg-3144	1605	6	-	-	PUNCT
fuelectenerg-3144	1605	7	third	third	NOUN
fuelectenerg-3144	1605	8	annual	annual	ADJ
fuelectenerg-3144	1605	9	hawaii	hawaii	PROPN
fuelectenerg-3144	1605	10	international	international	PROPN
fuelectenerg-3144	1605	11	conference	conference	NOUN
fuelectenerg-3144	1605	12	on	on	ADP
fuelectenerg-3144	1605	13	,	,	PUNCT
fuelectenerg-3144	1605	14	vol	vol	NOUN
fuelectenerg-3144	1605	15	.	.	PROPN
fuelectenerg-3144	1605	16	1	1	NUM
fuelectenerg-3144	1605	17	,	,	PUNCT
fuelectenerg-3144	1605	18	pp	pp	ADJ
fuelectenerg-3144	1605	19	.	.	PUNCT
fuelectenerg-3144	1606	1	387–396	387–396	NUM
fuelectenerg-3144	1606	2	,	,	PUNCT
fuelectenerg-3144	1606	3	ieee	ieee	NOUN
fuelectenerg-3144	1606	4	,	,	PUNCT
fuelectenerg-3144	1606	5	1990	1990	NUM
fuelectenerg-3144	1606	6	.	.	PUNCT
fuelectenerg-3144	1607	1	[	[	X
fuelectenerg-3144	1607	2	13	13	NUM
fuelectenerg-3144	1607	3	]	]	PUNCT
fuelectenerg-3144	1607	4	e.	e.	PROPN
fuelectenerg-3144	1607	5	f.	f.	PROPN
fuelectenerg-3144	1607	6	moore	moore	PROPN
fuelectenerg-3144	1607	7	,	,	PUNCT
fuelectenerg-3144	1607	8	“	"	PUNCT
fuelectenerg-3144	1607	9	gedanken	gedanken	VERB
fuelectenerg-3144	1607	10	experiments	experiment	NOUN
fuelectenerg-3144	1607	11	on	on	ADP
fuelectenerg-3144	1607	12	sequential	sequential	ADJ
fuelectenerg-3144	1607	13	machines	machine	NOUN
fuelectenerg-3144	1607	14	,	,	PUNCT
fuelectenerg-3144	1607	15	”	"	PUNCT
fuelectenerg-3144	1607	16	in	in	ADP
fuelectenerg-3144	1607	17	automata	automata	ADJ
fuelectenerg-3144	1607	18	studies	study	NOUN
fuelectenerg-3144	1607	19	,	,	PUNCT
fuelectenerg-3144	1607	20	pp	pp	ADV
fuelectenerg-3144	1607	21	.	.	PUNCT
fuelectenerg-3144	1608	1	129–153	129–153	NUM
fuelectenerg-3144	1608	2	,	,	PUNCT
fuelectenerg-3144	1608	3	princeton	princeton	PROPN
fuelectenerg-3144	1608	4	u.	u.	PROPN
fuelectenerg-3144	1608	5	,	,	PUNCT
fuelectenerg-3144	1608	6	1956	1956	NUM
fuelectenerg-3144	1608	7	.	.	PUNCT
fuelectenerg-3144	1609	1	46	46	NUM
fuelectenerg-3144	1610	1	[	[	X
fuelectenerg-3144	1610	2	14	14	NUM
fuelectenerg-3144	1610	3	]	]	X
fuelectenerg-3144	1610	4	j.	j.	PROPN
fuelectenerg-3144	1610	5	hartmanis	hartmanis	PROPN
fuelectenerg-3144	1610	6	,	,	PUNCT
fuelectenerg-3144	1610	7	“	"	PUNCT
fuelectenerg-3144	1610	8	loop	loop	NOUN
fuelectenerg-3144	1610	9	-	-	PUNCT
fuelectenerg-3144	1610	10	free	free	ADJ
fuelectenerg-3144	1610	11	structure	structure	NOUN
fuelectenerg-3144	1610	12	of	of	ADP
fuelectenerg-3144	1610	13	sequential	sequential	ADJ
fuelectenerg-3144	1610	14	machines	machine	NOUN
fuelectenerg-3144	1610	15	,	,	PUNCT
fuelectenerg-3144	1610	16	”	"	PUNCT
fuelectenerg-3144	1610	17	information	information	NOUN
fuelectenerg-3144	1610	18	and	and	CCONJ
fuelectenerg-3144	1610	19	control	control	NOUN
fuelectenerg-3144	1610	20	,	,	PUNCT
fuelectenerg-3144	1610	21	vol	vol	NOUN
fuelectenerg-3144	1610	22	.	.	PROPN
fuelectenerg-3144	1610	23	5	5	NUM
fuelectenerg-3144	1610	24	,	,	PUNCT
fuelectenerg-3144	1610	25	no	no	INTJ
fuelectenerg-3144	1610	26	.	.	NOUN
fuelectenerg-3144	1610	27	1	1	NUM
fuelectenerg-3144	1610	28	,	,	PUNCT
fuelectenerg-3144	1610	29	pp	pp	ADJ
fuelectenerg-3144	1610	30	.	.	PUNCT
fuelectenerg-3144	1611	1	25–43	25–43	NUM
fuelectenerg-3144	1611	2	,	,	PUNCT
fuelectenerg-3144	1611	3	1962	1962	NUM
fuelectenerg-3144	1611	4	.	.	PUNCT
fuelectenerg-3144	1612	1	[	[	X
fuelectenerg-3144	1612	2	15	15	NUM
fuelectenerg-3144	1612	3	]	]	X
fuelectenerg-3144	1612	4	g.	g.	PROPN
fuelectenerg-3144	1612	5	h.	h.	PROPN
fuelectenerg-3144	1612	6	mealy	mealy	PROPN
fuelectenerg-3144	1612	7	,	,	PUNCT
fuelectenerg-3144	1612	8	“	"	PUNCT
fuelectenerg-3144	1612	9	a	a	DET
fuelectenerg-3144	1612	10	method	method	NOUN
fuelectenerg-3144	1612	11	for	for	ADP
fuelectenerg-3144	1612	12	synthesizing	synthesize	VERB
fuelectenerg-3144	1612	13	sequential	sequential	ADJ
fuelectenerg-3144	1612	14	circuits	circuit	NOUN
fuelectenerg-3144	1612	15	,	,	PUNCT
fuelectenerg-3144	1612	16	”	"	PUNCT
fuelectenerg-3144	1612	17	bell	bell	NOUN
fuelectenerg-3144	1612	18	system	system	NOUN
fuelectenerg-3144	1612	19	technical	technical	ADJ
fuelectenerg-3144	1612	20	journal	journal	PROPN
fuelectenerg-3144	1612	21	,	,	PUNCT
fuelectenerg-3144	1612	22	vol	vol	NOUN
fuelectenerg-3144	1612	23	.	.	PROPN
fuelectenerg-3144	1613	1	34	34	NUM
fuelectenerg-3144	1613	2	,	,	PUNCT
fuelectenerg-3144	1613	3	no	no	INTJ
fuelectenerg-3144	1613	4	.	.	NOUN
fuelectenerg-3144	1613	5	5	5	NUM
fuelectenerg-3144	1613	6	,	,	PUNCT
fuelectenerg-3144	1613	7	pp	pp	ADJ
fuelectenerg-3144	1613	8	.	.	PUNCT
fuelectenerg-3144	1614	1	1045–1079	1045–1079	NUM
fuelectenerg-3144	1614	2	,	,	PUNCT
fuelectenerg-3144	1614	3	1955	1955	NUM
fuelectenerg-3144	1614	4	.	.	PUNCT
fuelectenerg-3144	1615	1	[	[	X
fuelectenerg-3144	1615	2	16	16	NUM
fuelectenerg-3144	1615	3	]	]	PUNCT
fuelectenerg-3144	1615	4	m.	m.	NOUN
fuelectenerg-3144	1615	5	a.	a.	PROPN
fuelectenerg-3144	1615	6	nielsen	nielsen	PROPN
fuelectenerg-3144	1615	7	and	and	CCONJ
fuelectenerg-3144	1615	8	i.	i.	PROPN
fuelectenerg-3144	1615	9	l.	l.	PROPN
fuelectenerg-3144	1615	10	chuang	chuang	PROPN
fuelectenerg-3144	1615	11	,	,	PUNCT
fuelectenerg-3144	1615	12	quantum	quantum	ADJ
fuelectenerg-3144	1615	13	computation	computation	NOUN
fuelectenerg-3144	1615	14	and	and	CCONJ
fuelectenerg-3144	1615	15	quantum	quantum	NOUN
fuelectenerg-3144	1615	16	information	information	NOUN
fuelectenerg-3144	1615	17	.	.	PUNCT
fuelectenerg-3144	1616	1	cambridge	cambridge	PROPN
fuelectenerg-3144	1616	2	university	university	PROPN
fuelectenerg-3144	1616	3	press	press	NOUN
fuelectenerg-3144	1616	4	,	,	PUNCT
fuelectenerg-3144	1616	5	10th	10th	ADJ
fuelectenerg-3144	1616	6	anniversary	anniversary	NOUN
fuelectenerg-3144	1616	7	ed	ed	NOUN
fuelectenerg-3144	1616	8	.	.	PROPN
fuelectenerg-3144	1616	9	,	,	PUNCT
fuelectenerg-3144	1616	10	2010	2010	NUM
fuelectenerg-3144	1616	11	.	.	PUNCT
fuelectenerg-3144	1617	1	[	[	X
fuelectenerg-3144	1617	2	17	17	NUM
fuelectenerg-3144	1617	3	]	]	X
fuelectenerg-3144	1617	4	m.	m.	PROPN
fuelectenerg-3144	1617	5	boyer	boyer	PROPN
fuelectenerg-3144	1617	6	,	,	PUNCT
fuelectenerg-3144	1617	7	g.	g.	PROPN
fuelectenerg-3144	1617	8	brassard	brassard	PROPN
fuelectenerg-3144	1617	9	,	,	PUNCT
fuelectenerg-3144	1617	10	p.	p.	NOUN
fuelectenerg-3144	1617	11	høyer	høyer	PROPN
fuelectenerg-3144	1617	12	,	,	PUNCT
fuelectenerg-3144	1617	13	and	and	CCONJ
fuelectenerg-3144	1617	14	a.	a.	PROPN
fuelectenerg-3144	1617	15	tapp	tapp	PROPN
fuelectenerg-3144	1617	16	,	,	PUNCT
fuelectenerg-3144	1617	17	“	"	PUNCT
fuelectenerg-3144	1617	18	tight	tight	ADJ
fuelectenerg-3144	1617	19	bounds	bound	NOUN
fuelectenerg-3144	1617	20	on	on	ADP
fuelectenerg-3144	1617	21	quantum	quantum	NOUN
fuelectenerg-3144	1617	22	searching	searching	NOUN
fuelectenerg-3144	1617	23	,	,	PUNCT
fuelectenerg-3144	1617	24	”	"	PUNCT
fuelectenerg-3144	1617	25	fortschritte	fortschritte	PROPN
fuelectenerg-3144	1617	26	der	der	PROPN
fuelectenerg-3144	1617	27	physik	physik	PROPN
fuelectenerg-3144	1617	28	,	,	PUNCT
fuelectenerg-3144	1617	29	vol	vol	NOUN
fuelectenerg-3144	1617	30	.	.	PROPN
fuelectenerg-3144	1617	31	46	46	NUM
fuelectenerg-3144	1617	32	,	,	PUNCT
fuelectenerg-3144	1617	33	no	no	INTJ
fuelectenerg-3144	1617	34	.	.	NOUN
fuelectenerg-3144	1617	35	4	4	NUM
fuelectenerg-3144	1617	36	-	-	SYM
fuelectenerg-3144	1617	37	5	5	NUM
fuelectenerg-3144	1617	38	,	,	PUNCT
fuelectenerg-3144	1617	39	pp	pp	ADJ
fuelectenerg-3144	1617	40	.	.	PUNCT
fuelectenerg-3144	1618	1	493–505	493–505	NUM
fuelectenerg-3144	1618	2	,	,	PUNCT
fuelectenerg-3144	1618	3	1998	1998	NUM
fuelectenerg-3144	1618	4	.	.	PUNCT
fuelectenerg-3144	1619	1	[	[	X
fuelectenerg-3144	1619	2	18	18	NUM
fuelectenerg-3144	1619	3	]	]	X
fuelectenerg-3144	1619	4	g.	g.	PROPN
fuelectenerg-3144	1619	5	brassard	brassard	PROPN
fuelectenerg-3144	1619	6	,	,	PUNCT
fuelectenerg-3144	1619	7	p.	p.	NOUN
fuelectenerg-3144	1619	8	høyer	høyer	PROPN
fuelectenerg-3144	1619	9	,	,	PUNCT
fuelectenerg-3144	1619	10	and	and	CCONJ
fuelectenerg-3144	1619	11	a.	a.	PROPN
fuelectenerg-3144	1619	12	tapp	tapp	PROPN
fuelectenerg-3144	1619	13	,	,	PUNCT
fuelectenerg-3144	1619	14	“	"	PUNCT
fuelectenerg-3144	1619	15	quantum	quantum	ADJ
fuelectenerg-3144	1619	16	counting	counting	NOUN
fuelectenerg-3144	1619	17	,	,	PUNCT
fuelectenerg-3144	1619	18	”	"	PUNCT
fuelectenerg-3144	1619	19	in	in	ADP
fuelectenerg-3144	1619	20	automata	automata	NOUN
fuelectenerg-3144	1619	21	,	,	PUNCT
fuelectenerg-3144	1619	22	languages	language	NOUN
fuelectenerg-3144	1619	23	and	and	CCONJ
fuelectenerg-3144	1619	24	programming	programming	NOUN
fuelectenerg-3144	1619	25	,	,	PUNCT
fuelectenerg-3144	1619	26	pp	pp	ADP
fuelectenerg-3144	1619	27	.	.	PUNCT
fuelectenerg-3144	1620	1	820–831	820–831	NUM
fuelectenerg-3144	1620	2	,	,	PUNCT
fuelectenerg-3144	1620	3	springer	springer	NOUN
fuelectenerg-3144	1620	4	berlin	berlin	PROPN
fuelectenerg-3144	1620	5	heidelberg	heidelberg	PROPN
fuelectenerg-3144	1620	6	,	,	PUNCT
fuelectenerg-3144	1620	7	1998	1998	NUM
fuelectenerg-3144	1620	8	.	.	PUNCT
fuelectenerg-3144	1621	1	[	[	X
fuelectenerg-3144	1621	2	19	19	NUM
fuelectenerg-3144	1621	3	]	]	X
fuelectenerg-3144	1621	4	d.	d.	PROPN
fuelectenerg-3144	1621	5	maslov	maslov	PROPN
fuelectenerg-3144	1621	6	and	and	CCONJ
fuelectenerg-3144	1621	7	g.	g.	PROPN
fuelectenerg-3144	1621	8	dueck	dueck	PROPN
fuelectenerg-3144	1621	9	,	,	PUNCT
fuelectenerg-3144	1621	10	“	"	PUNCT
fuelectenerg-3144	1621	11	improved	improved	ADJ
fuelectenerg-3144	1621	12	quantum	quantum	NOUN
fuelectenerg-3144	1621	13	cost	cost	NOUN
fuelectenerg-3144	1621	14	for	for	ADP
fuelectenerg-3144	1621	15	n	n	NUM
fuelectenerg-3144	1621	16	-	-	PUNCT
fuelectenerg-3144	1621	17	bit	bit	NOUN
fuelectenerg-3144	1621	18	toffoli	toffoli	PROPN
fuelectenerg-3144	1621	19	gates	gate	NOUN
fuelectenerg-3144	1621	20	,	,	PUNCT
fuelectenerg-3144	1621	21	”	"	PUNCT
fuelectenerg-3144	1621	22	electronics	electronics	NOUN
fuelectenerg-3144	1621	23	letters	letter	NOUN
fuelectenerg-3144	1621	24	,	,	PUNCT
fuelectenerg-3144	1621	25	vol	vol	NOUN
fuelectenerg-3144	1621	26	.	.	PROPN
fuelectenerg-3144	1621	27	39	39	NUM
fuelectenerg-3144	1621	28	,	,	PUNCT
fuelectenerg-3144	1621	29	pp	pp	ADJ
fuelectenerg-3144	1621	30	.	.	PUNCT
fuelectenerg-3144	1622	1	1790–1791	1790–1791	NUM
fuelectenerg-3144	1622	2	,	,	PUNCT
fuelectenerg-3144	1622	3	december	december	PROPN
fuelectenerg-3144	1622	4	2003	2003	NUM
fuelectenerg-3144	1622	5	.	.	PUNCT
fuelectenerg-3144	1623	1	[	[	X
fuelectenerg-3144	1623	2	20	20	NUM
fuelectenerg-3144	1623	3	]	]	PUNCT
fuelectenerg-3144	1623	4	a.	a.	NOUN
fuelectenerg-3144	1623	5	barenco	barenco	NOUN
fuelectenerg-3144	1623	6	,	,	PUNCT
fuelectenerg-3144	1623	7	c.	c.	PROPN
fuelectenerg-3144	1623	8	h.	h.	PROPN
fuelectenerg-3144	1623	9	bennett	bennett	PROPN
fuelectenerg-3144	1623	10	,	,	PUNCT
fuelectenerg-3144	1623	11	r.	r.	PROPN
fuelectenerg-3144	1623	12	cleve	cleve	PROPN
fuelectenerg-3144	1623	13	,	,	PUNCT
fuelectenerg-3144	1623	14	d.	d.	PROPN
fuelectenerg-3144	1623	15	p.	p.	PROPN
fuelectenerg-3144	1623	16	divincenzo	divincenzo	PROPN
fuelectenerg-3144	1623	17	,	,	PUNCT
fuelectenerg-3144	1623	18	n.	n.	NOUN
fuelectenerg-3144	1623	19	margolus	margolus	NOUN
fuelectenerg-3144	1623	20	,	,	PUNCT
fuelectenerg-3144	1623	21	p.	p.	PROPN
fuelectenerg-3144	1623	22	shor	shor	PROPN
fuelectenerg-3144	1623	23	,	,	PUNCT
fuelectenerg-3144	1623	24	t.	t.	PROPN
fuelectenerg-3144	1623	25	sleator	sleator	PROPN
fuelectenerg-3144	1623	26	,	,	PUNCT
fuelectenerg-3144	1623	27	j.	j.	PROPN
fuelectenerg-3144	1623	28	a.	a.	PROPN
fuelectenerg-3144	1623	29	smolin	smolin	PROPN
fuelectenerg-3144	1623	30	,	,	PUNCT
fuelectenerg-3144	1623	31	and	and	CCONJ
fuelectenerg-3144	1623	32	h.	h.	PROPN
fuelectenerg-3144	1623	33	weinfurter	weinfurter	NOUN
fuelectenerg-3144	1623	34	,	,	PUNCT
fuelectenerg-3144	1623	35	“	"	PUNCT
fuelectenerg-3144	1623	36	elementary	elementary	ADJ
fuelectenerg-3144	1623	37	gates	gate	NOUN
fuelectenerg-3144	1623	38	for	for	ADP
fuelectenerg-3144	1623	39	quantum	quantum	ADJ
fuelectenerg-3144	1623	40	computation	computation	NOUN
fuelectenerg-3144	1623	41	,	,	PUNCT
fuelectenerg-3144	1623	42	”	"	PUNCT
fuelectenerg-3144	1623	43	phys	phy	NOUN
fuelectenerg-3144	1623	44	.	.	PUNCT
fuelectenerg-3144	1624	1	rev	rev	PROPN
fuelectenerg-3144	1624	2	.	.	PROPN
fuelectenerg-3144	1625	1	a	a	DET
fuelectenerg-3144	1625	2	,	,	PUNCT
fuelectenerg-3144	1625	3	vol	vol	NOUN
fuelectenerg-3144	1625	4	.	.	PROPN
fuelectenerg-3144	1626	1	52	52	NUM
fuelectenerg-3144	1626	2	,	,	PUNCT
fuelectenerg-3144	1626	3	pp	pp	ADJ
fuelectenerg-3144	1626	4	.	.	PUNCT
fuelectenerg-3144	1627	1	3457	3457	NUM
fuelectenerg-3144	1627	2	–	–	PUNCT
fuelectenerg-3144	1627	3	3467	3467	NUM
fuelectenerg-3144	1627	4	,	,	PUNCT
fuelectenerg-3144	1627	5	nov	nov	PROPN
fuelectenerg-3144	1627	6	1995	1995	NUM
fuelectenerg-3144	1627	7	.	.	PUNCT
fuelectenerg-3144	1628	1	47	47	NUM
fuelectenerg-3144	1628	2	214	214	NUM
fuelectenerg-3144	1628	3	e.	e.	PROPN
fuelectenerg-3144	1628	4	tsai	tsai	PROPN
fuelectenerg-3144	1628	5	,	,	PUNCT
fuelectenerg-3144	1628	6	m.	m.	PROPN
fuelectenerg-3144	1628	7	perkowski	perkowski	PROPN
fuelectenerg-3144	1628	8	a	a	DET
fuelectenerg-3144	1628	9	quantum	quantum	ADJ
fuelectenerg-3144	1628	10	algorithm	algorithm	NOUN
fuelectenerg-3144	1628	11	for	for	ADP
fuelectenerg-3144	1628	12	automata	automata	NOUN
fuelectenerg-3144	1628	13	encoding	encode	VERB
fuelectenerg-3144	1628	14	215	215	NUM