id	sid	tid	token	lemma	pos
fuelectenerg-11176	1	1	11176	11176	NUM
fuelectenerg-11176	1	2	facta	facta	PROPN
fuelectenerg-11176	1	3	universitatis	universitatis	PROPN
fuelectenerg-11176	1	4	series	series	NOUN
fuelectenerg-11176	1	5	:	:	PUNCT
fuelectenerg-11176	1	6	electronics	electronic	NOUN
fuelectenerg-11176	1	7	and	and	CCONJ
fuelectenerg-11176	1	8	energetics	energetics	NOUN
fuelectenerg-11176	1	9	vol	vol	NOUN
fuelectenerg-11176	1	10	.	.	PUNCT
fuelectenerg-11176	1	11	36	36	NUM
fuelectenerg-11176	1	12	,	,	PUNCT
fuelectenerg-11176	1	13	no	no	DET
fuelectenerg-11176	1	14	2	2	NUM
fuelectenerg-11176	1	15	,	,	PUNCT
fuelectenerg-11176	1	16	june	june	PROPN
fuelectenerg-11176	1	17	2023	2023	NUM
fuelectenerg-11176	1	18	,	,	PUNCT
fuelectenerg-11176	1	19	pp	pp	ADV
fuelectenerg-11176	1	20	.	.	PUNCT
fuelectenerg-11176	2	1	253	253	NUM
fuelectenerg-11176	2	2	-	-	SYM
fuelectenerg-11176	2	3	266	266	NUM
fuelectenerg-11176	2	4	https://doi.org/10.2298/fuee2302253	https://doi.org/10.2298/fuee2302253	NOUN
fuelectenerg-11176	2	5	m	m	NOUN
fuelectenerg-11176	2	6	©	©	PROPN
fuelectenerg-11176	2	7	2023	2023	NUM
fuelectenerg-11176	2	8	by	by	ADP
fuelectenerg-11176	2	9	university	university	PROPN
fuelectenerg-11176	2	10	of	of	ADP
fuelectenerg-11176	2	11	niš	niš	PROPN
fuelectenerg-11176	2	12	,	,	PUNCT
fuelectenerg-11176	2	13	serbia	serbia	PROPN
fuelectenerg-11176	2	14	|	|	ADV
fuelectenerg-11176	2	15	creative	creative	ADJ
fuelectenerg-11176	2	16	commons	common	NOUN
fuelectenerg-11176	2	17	license	license	NOUN
fuelectenerg-11176	2	18	:	:	PUNCT
fuelectenerg-11176	2	19	cc	cc	VERB
fuelectenerg-11176	2	20	by	by	ADP
fuelectenerg-11176	2	21	-	-	PUNCT
fuelectenerg-11176	2	22	nc	nc	VERB
fuelectenerg-11176	2	23	-	-	PUNCT
fuelectenerg-11176	2	24	nd	nd	ADV
fuelectenerg-11176	2	25	original	original	ADJ
fuelectenerg-11176	2	26	scientific	scientific	ADJ
fuelectenerg-11176	2	27	paper	paper	NOUN
fuelectenerg-11176	2	28	the	the	DET
fuelectenerg-11176	2	29	fredkin	fredkin	NOUN
fuelectenerg-11176	2	30	gate	gate	NOUN
fuelectenerg-11176	2	31	in	in	ADP
fuelectenerg-11176	2	32	reversible	reversible	ADJ
fuelectenerg-11176	2	33	and	and	CCONJ
fuelectenerg-11176	2	34	quantum	quantum	ADJ
fuelectenerg-11176	2	35	environments	environment	NOUN
fuelectenerg-11176	2	36	claudio	claudio	NOUN
fuelectenerg-11176	2	37	moraga1	moraga1	NOUN
fuelectenerg-11176	2	38	,	,	PUNCT
fuelectenerg-11176	2	39	fatima	fatima	PROPN
fuelectenerg-11176	2	40	z.	z.	PROPN
fuelectenerg-11176	2	41	hadjam2	hadjam2	PROPN
fuelectenerg-11176	3	1	1technical	1technical	PROPN
fuelectenerg-11176	3	2	university	university	PROPN
fuelectenerg-11176	3	3	of	of	ADP
fuelectenerg-11176	3	4	dortmund	dortmund	PROPN
fuelectenerg-11176	3	5	,	,	PUNCT
fuelectenerg-11176	3	6	dortmund	dortmund	PROPN
fuelectenerg-11176	3	7	,	,	PUNCT
fuelectenerg-11176	3	8	germany	germany	PROPN
fuelectenerg-11176	3	9	2university	2university	NUM
fuelectenerg-11176	3	10	of	of	ADP
fuelectenerg-11176	3	11	djillali	djillali	ADJ
fuelectenerg-11176	3	12	liabes	liabe	NOUN
fuelectenerg-11176	3	13	,	,	PUNCT
fuelectenerg-11176	3	14	sidi	sidi	PROPN
fuelectenerg-11176	3	15	bel	bel	PROPN
fuelectenerg-11176	3	16	abbes	abbes	PROPN
fuelectenerg-11176	3	17	,	,	PUNCT
fuelectenerg-11176	3	18	algeria	algeria	PROPN
fuelectenerg-11176	3	19	abstract	abstract	NOUN
fuelectenerg-11176	3	20	.	.	PUNCT
fuelectenerg-11176	4	1	reversible	reversible	ADJ
fuelectenerg-11176	4	2	computing	computing	NOUN
fuelectenerg-11176	4	3	circuits	circuit	NOUN
fuelectenerg-11176	4	4	are	be	AUX
fuelectenerg-11176	4	5	characterized	characterize	VERB
fuelectenerg-11176	4	6	by	by	ADP
fuelectenerg-11176	4	7	low	low	ADJ
fuelectenerg-11176	4	8	power	power	NOUN
fuelectenerg-11176	4	9	consumption	consumption	NOUN
fuelectenerg-11176	4	10	and	and	CCONJ
fuelectenerg-11176	4	11	their	their	PRON
fuelectenerg-11176	4	12	proximity	proximity	NOUN
fuelectenerg-11176	4	13	to	to	ADP
fuelectenerg-11176	4	14	circuits	circuit	NOUN
fuelectenerg-11176	4	15	for	for	ADP
fuelectenerg-11176	4	16	quantum	quantum	NOUN
fuelectenerg-11176	4	17	computing	computing	NOUN
fuelectenerg-11176	4	18	.	.	PUNCT
fuelectenerg-11176	5	1	the	the	DET
fuelectenerg-11176	5	2	fredkin	fredkin	NOUN
fuelectenerg-11176	5	3	gate	gate	NOUN
fuelectenerg-11176	5	4	was	be	AUX
fuelectenerg-11176	5	5	one	one	NUM
fuelectenerg-11176	5	6	of	of	ADP
fuelectenerg-11176	5	7	the	the	DET
fuelectenerg-11176	5	8	earliest	early	ADJ
fuelectenerg-11176	5	9	proposed	propose	VERB
fuelectenerg-11176	5	10	controlled	control	VERB
fuelectenerg-11176	5	11	reversible	reversible	ADJ
fuelectenerg-11176	5	12	circuits	circuit	NOUN
fuelectenerg-11176	5	13	,	,	PUNCT
fuelectenerg-11176	5	14	which	which	PRON
fuelectenerg-11176	5	15	however	however	ADV
fuelectenerg-11176	5	16	,	,	PUNCT
fuelectenerg-11176	5	17	was	be	AUX
fuelectenerg-11176	5	18	soon	soon	ADV
fuelectenerg-11176	5	19	superseded	supersede	VERB
fuelectenerg-11176	5	20	by	by	ADP
fuelectenerg-11176	5	21	the	the	DET
fuelectenerg-11176	5	22	toffoli	toffoli	PROPN
fuelectenerg-11176	5	23	gate	gate	NOUN
fuelectenerg-11176	5	24	,	,	PUNCT
fuelectenerg-11176	5	25	the	the	PRON
fuelectenerg-11176	5	26	not	not	PART
fuelectenerg-11176	5	27	,	,	PUNCT
fuelectenerg-11176	5	28	and	and	CCONJ
fuelectenerg-11176	5	29	cnot	cnot	ADJ
fuelectenerg-11176	5	30	gates	gate	NOUN
fuelectenerg-11176	5	31	,	,	PUNCT
fuelectenerg-11176	5	32	which	which	PRON
fuelectenerg-11176	5	33	constituting	constitute	VERB
fuelectenerg-11176	5	34	a	a	DET
fuelectenerg-11176	5	35	flexible	flexible	ADJ
fuelectenerg-11176	5	36	functionally	functionally	ADV
fuelectenerg-11176	5	37	complete	complete	ADJ
fuelectenerg-11176	5	38	set	set	NOUN
fuelectenerg-11176	5	39	could	could	AUX
fuelectenerg-11176	5	40	also	also	ADV
fuelectenerg-11176	5	41	realize	realize	VERB
fuelectenerg-11176	5	42	the	the	DET
fuelectenerg-11176	5	43	fredkin	fredkin	NOUN
fuelectenerg-11176	5	44	gate	gate	NOUN
fuelectenerg-11176	5	45	as	as	ADP
fuelectenerg-11176	5	46	a	a	DET
fuelectenerg-11176	5	47	building	building	NOUN
fuelectenerg-11176	5	48	block	block	NOUN
fuelectenerg-11176	5	49	.	.	PUNCT
fuelectenerg-11176	6	1	in	in	ADP
fuelectenerg-11176	6	2	quantum	quantum	ADJ
fuelectenerg-11176	6	3	computing	computing	NOUN
fuelectenerg-11176	6	4	circuits	circuit	NOUN
fuelectenerg-11176	6	5	,	,	PUNCT
fuelectenerg-11176	6	6	the	the	DET
fuelectenerg-11176	6	7	fredkin	fredkin	NOUN
fuelectenerg-11176	6	8	gate	gate	NOUN
fuelectenerg-11176	6	9	(	(	PUNCT
fuelectenerg-11176	6	10	under	under	ADP
fuelectenerg-11176	6	11	the	the	DET
fuelectenerg-11176	6	12	name	name	NOUN
fuelectenerg-11176	6	13	controlled	control	VERB
fuelectenerg-11176	6	14	swap	swap	NOUN
fuelectenerg-11176	6	15	)	)	PUNCT
fuelectenerg-11176	6	16	plays	play	VERB
fuelectenerg-11176	6	17	an	an	DET
fuelectenerg-11176	6	18	important	important	ADJ
fuelectenerg-11176	6	19	role	role	NOUN
fuelectenerg-11176	6	20	regarding	regard	VERB
fuelectenerg-11176	6	21	the	the	DET
fuelectenerg-11176	6	22	superposition	superposition	NOUN
fuelectenerg-11176	6	23	of	of	ADP
fuelectenerg-11176	6	24	states	state	NOUN
fuelectenerg-11176	6	25	.	.	PUNCT
fuelectenerg-11176	7	1	the	the	DET
fuelectenerg-11176	7	2	present	present	ADJ
fuelectenerg-11176	7	3	paper	paper	NOUN
fuelectenerg-11176	7	4	studies	study	NOUN
fuelectenerg-11176	7	5	extensions	extension	NOUN
fuelectenerg-11176	7	6	of	of	ADP
fuelectenerg-11176	7	7	the	the	DET
fuelectenerg-11176	7	8	fredkin	fredkin	NOUN
fuelectenerg-11176	7	9	gate	gate	NOUN
fuelectenerg-11176	7	10	in	in	ADP
fuelectenerg-11176	7	11	terms	term	NOUN
fuelectenerg-11176	7	12	of	of	ADP
fuelectenerg-11176	7	13	mixed	mixed	ADJ
fuelectenerg-11176	7	14	polarity	polarity	NOUN
fuelectenerg-11176	7	15	in	in	ADP
fuelectenerg-11176	7	16	the	the	DET
fuelectenerg-11176	7	17	reversible	reversible	ADJ
fuelectenerg-11176	7	18	domain	domain	NOUN
fuelectenerg-11176	7	19	and	and	CCONJ
fuelectenerg-11176	7	20	an	an	DET
fuelectenerg-11176	7	21	application	application	NOUN
fuelectenerg-11176	7	22	in	in	ADP
fuelectenerg-11176	7	23	quantum	quantum	ADJ
fuelectenerg-11176	7	24	computing	computing	NOUN
fuelectenerg-11176	7	25	.	.	PUNCT
fuelectenerg-11176	8	1	keywords	keyword	NOUN
fuelectenerg-11176	8	2	:	:	PUNCT
fuelectenerg-11176	8	3	fredkin	fredkin	NOUN
fuelectenerg-11176	8	4	gate	gate	NOUN
fuelectenerg-11176	8	5	,	,	PUNCT
fuelectenerg-11176	8	6	reversible	reversible	ADJ
fuelectenerg-11176	8	7	circuits	circuit	NOUN
fuelectenerg-11176	8	8	,	,	PUNCT
fuelectenerg-11176	8	9	quantum	quantum	ADJ
fuelectenerg-11176	8	10	computing	computing	NOUN
fuelectenerg-11176	8	11	circuits	circuit	NOUN
fuelectenerg-11176	8	12	1	1	NUM
fuelectenerg-11176	8	13	.	.	X
fuelectenerg-11176	8	14	introduction	introduction	NOUN
fuelectenerg-11176	8	15	the	the	DET
fuelectenerg-11176	8	16	earliest	early	ADJ
fuelectenerg-11176	8	17	contributions	contribution	NOUN
fuelectenerg-11176	8	18	to	to	ADP
fuelectenerg-11176	8	19	the	the	DET
fuelectenerg-11176	8	20	development	development	NOUN
fuelectenerg-11176	8	21	of	of	ADP
fuelectenerg-11176	8	22	reversible	reversible	ADJ
fuelectenerg-11176	8	23	computing	computing	NOUN
fuelectenerg-11176	8	24	circuits	circuit	NOUN
fuelectenerg-11176	8	25	may	may	AUX
fuelectenerg-11176	8	26	be	be	AUX
fuelectenerg-11176	8	27	traced	trace	VERB
fuelectenerg-11176	8	28	back	back	ADV
fuelectenerg-11176	8	29	to	to	ADP
fuelectenerg-11176	8	30	e.	e.	PROPN
fuelectenerg-11176	8	31	fredkin	fredkin	PROPN
fuelectenerg-11176	9	1	[	[	X
fuelectenerg-11176	9	2	6	6	NUM
fuelectenerg-11176	9	3	]	]	PUNCT
fuelectenerg-11176	9	4	and	and	CCONJ
fuelectenerg-11176	9	5	t.	t.	PROPN
fuelectenerg-11176	9	6	toffoli	toffoli	PROPN
fuelectenerg-11176	10	1	[	[	X
fuelectenerg-11176	10	2	26	26	NUM
fuelectenerg-11176	10	3	]	]	PUNCT
fuelectenerg-11176	10	4	who	who	PRON
fuelectenerg-11176	10	5	introduced	introduce	VERB
fuelectenerg-11176	10	6	the	the	DET
fuelectenerg-11176	10	7	first	first	ADV
fuelectenerg-11176	10	8	controlled	control	VERB
fuelectenerg-11176	10	9	reversible	reversible	ADJ
fuelectenerg-11176	10	10	gates	gate	NOUN
fuelectenerg-11176	10	11	.	.	PUNCT
fuelectenerg-11176	11	1	a	a	DET
fuelectenerg-11176	11	2	reversible	reversible	ADJ
fuelectenerg-11176	11	3	gate	gate	NOUN
fuelectenerg-11176	11	4	realizes	realize	VERB
fuelectenerg-11176	11	5	a	a	DET
fuelectenerg-11176	11	6	bijection	bijection	NOUN
fuelectenerg-11176	11	7	.	.	PUNCT
fuelectenerg-11176	12	1	therefore	therefore	ADV
fuelectenerg-11176	12	2	,	,	PUNCT
fuelectenerg-11176	12	3	it	it	PRON
fuelectenerg-11176	12	4	does	do	AUX
fuelectenerg-11176	12	5	not	not	PART
fuelectenerg-11176	12	6	lose	lose	VERB
fuelectenerg-11176	12	7	information	information	NOUN
fuelectenerg-11176	12	8	.	.	PUNCT
fuelectenerg-11176	13	1	if	if	SCONJ
fuelectenerg-11176	13	2	the	the	DET
fuelectenerg-11176	13	3	outputs	output	NOUN
fuelectenerg-11176	13	4	are	be	AUX
fuelectenerg-11176	13	5	known	know	VERB
fuelectenerg-11176	13	6	,	,	PUNCT
fuelectenerg-11176	13	7	then	then	ADV
fuelectenerg-11176	13	8	the	the	DET
fuelectenerg-11176	13	9	inputs	input	NOUN
fuelectenerg-11176	13	10	may	may	AUX
fuelectenerg-11176	13	11	be	be	AUX
fuelectenerg-11176	13	12	precisely	precisely	ADV
fuelectenerg-11176	13	13	recovered	recover	VERB
fuelectenerg-11176	13	14	.	.	PUNCT
fuelectenerg-11176	14	1	the	the	DET
fuelectenerg-11176	14	2	realization	realization	NOUN
fuelectenerg-11176	14	3	of	of	ADP
fuelectenerg-11176	14	4	reversible	reversible	ADJ
fuelectenerg-11176	14	5	circuits	circuit	NOUN
fuelectenerg-11176	14	6	as	as	SCONJ
fuelectenerg-11176	14	7	fanout	fanout	NOUN
fuelectenerg-11176	14	8	-	-	PUNCT
fuelectenerg-11176	14	9	free	free	ADJ
fuelectenerg-11176	14	10	and	and	CCONJ
fuelectenerg-11176	14	11	feedback	feedback	NOUN
fuelectenerg-11176	14	12	-	-	PUNCT
fuelectenerg-11176	14	13	free	free	ADJ
fuelectenerg-11176	14	14	cascades	cascade	NOUN
fuelectenerg-11176	14	15	of	of	ADP
fuelectenerg-11176	14	16	reversible	reversible	ADJ
fuelectenerg-11176	14	17	gates	gate	NOUN
fuelectenerg-11176	14	18	was	be	AUX
fuelectenerg-11176	14	19	stimulated	stimulate	VERB
fuelectenerg-11176	14	20	by	by	ADP
fuelectenerg-11176	14	21	r.	r.	PROPN
fuelectenerg-11176	14	22	landauer‘s	landauer‘s	PROPN
fuelectenerg-11176	14	23	theorem	theorem	VERB
fuelectenerg-11176	14	24	[	[	X
fuelectenerg-11176	14	25	9	9	NUM
fuelectenerg-11176	14	26	]	]	PUNCT
fuelectenerg-11176	14	27	stating	state	VERB
fuelectenerg-11176	14	28	that	that	SCONJ
fuelectenerg-11176	14	29	erasing	erase	VERB
fuelectenerg-11176	14	30	or	or	CCONJ
fuelectenerg-11176	14	31	deleting	delete	VERB
fuelectenerg-11176	14	32	information	information	NOUN
fuelectenerg-11176	14	33	in	in	ADP
fuelectenerg-11176	14	34	a	a	DET
fuelectenerg-11176	14	35	circuit	circuit	NOUN
fuelectenerg-11176	14	36	produces	produce	VERB
fuelectenerg-11176	14	37	heat	heat	NOUN
fuelectenerg-11176	14	38	dissipation	dissipation	NOUN
fuelectenerg-11176	14	39	.	.	PUNCT
fuelectenerg-11176	15	1	moreover	moreover	ADV
fuelectenerg-11176	15	2	,	,	PUNCT
fuelectenerg-11176	15	3	c.	c.	PROPN
fuelectenerg-11176	15	4	bennet	bennet	PROPN
fuelectenerg-11176	16	1	[	[	X
fuelectenerg-11176	16	2	2	2	NUM
fuelectenerg-11176	16	3	]	]	PUNCT
fuelectenerg-11176	16	4	showed	show	VERB
fuelectenerg-11176	16	5	that	that	SCONJ
fuelectenerg-11176	16	6	a	a	DET
fuelectenerg-11176	16	7	computer	computer	NOUN
fuelectenerg-11176	16	8	could	could	AUX
fuelectenerg-11176	16	9	work	work	VERB
fuelectenerg-11176	16	10	with	with	ADP
fuelectenerg-11176	16	11	low	low	ADJ
fuelectenerg-11176	16	12	power	power	NOUN
fuelectenerg-11176	16	13	dissipation	dissipation	NOUN
fuelectenerg-11176	16	14	if	if	SCONJ
fuelectenerg-11176	16	15	all	all	DET
fuelectenerg-11176	16	16	its	its	PRON
fuelectenerg-11176	16	17	circuits	circuit	NOUN
fuelectenerg-11176	16	18	would	would	AUX
fuelectenerg-11176	16	19	be	be	AUX
fuelectenerg-11176	16	20	reversible	reversible	ADJ
fuelectenerg-11176	16	21	.	.	PUNCT
fuelectenerg-11176	17	1	since	since	SCONJ
fuelectenerg-11176	17	2	the	the	DET
fuelectenerg-11176	17	3	early	early	ADJ
fuelectenerg-11176	17	4	times	time	NOUN
fuelectenerg-11176	17	5	most	most	ADJ
fuelectenerg-11176	17	6	work	work	NOUN
fuelectenerg-11176	17	7	on	on	ADP
fuelectenerg-11176	17	8	the	the	DET
fuelectenerg-11176	17	9	synthesis	synthesis	NOUN
fuelectenerg-11176	17	10	of	of	ADP
fuelectenerg-11176	17	11	reversible	reversible	ADJ
fuelectenerg-11176	17	12	circuits	circuit	NOUN
fuelectenerg-11176	17	13	has	have	AUX
fuelectenerg-11176	17	14	been	be	AUX
fuelectenerg-11176	17	15	based	base	VERB
fuelectenerg-11176	17	16	on	on	ADP
fuelectenerg-11176	17	17	the	the	DET
fuelectenerg-11176	17	18	set	set	NOUN
fuelectenerg-11176	17	19	of	of	ADP
fuelectenerg-11176	17	20	gates	gate	NOUN
fuelectenerg-11176	17	21	{	{	PUNCT
fuelectenerg-11176	17	22	not	not	PART
fuelectenerg-11176	17	23	,	,	PUNCT
fuelectenerg-11176	17	24	cnot	cnot	PROPN
fuelectenerg-11176	17	25	,	,	PUNCT
fuelectenerg-11176	17	26	toffoli	toffoli	PROPN
fuelectenerg-11176	17	27	}	}	PUNCT
fuelectenerg-11176	17	28	,	,	PUNCT
fuelectenerg-11176	17	29	known	know	VERB
fuelectenerg-11176	17	30	as	as	ADP
fuelectenerg-11176	17	31	nct	nct	PROPN
fuelectenerg-11176	17	32	,	,	PUNCT
fuelectenerg-11176	17	33	which	which	PRON
fuelectenerg-11176	17	34	is	be	AUX
fuelectenerg-11176	17	35	functionally	functionally	ADV
fuelectenerg-11176	17	36	complete	complete	ADJ
fuelectenerg-11176	17	37	.	.	PUNCT
fuelectenerg-11176	18	1	the	the	DET
fuelectenerg-11176	18	2	symbols	symbol	NOUN
fuelectenerg-11176	18	3	and	and	CCONJ
fuelectenerg-11176	18	4	functionality	functionality	NOUN
fuelectenerg-11176	18	5	of	of	ADP
fuelectenerg-11176	18	6	these	these	DET
fuelectenerg-11176	18	7	gates	gate	NOUN
fuelectenerg-11176	18	8	in	in	ADP
fuelectenerg-11176	18	9	a	a	DET
fuelectenerg-11176	18	10	common	common	ADJ
fuelectenerg-11176	18	11	environment	environment	NOUN
fuelectenerg-11176	18	12	of	of	ADP
fuelectenerg-11176	18	13	two	two	NUM
fuelectenerg-11176	18	14	(	(	PUNCT
fuelectenerg-11176	18	15	eventually	eventually	ADV
fuelectenerg-11176	18	16	)	)	PUNCT
fuelectenerg-11176	18	17	controlling	control	VERB
fuelectenerg-11176	18	18	lines	line	NOUN
fuelectenerg-11176	18	19	and	and	CCONJ
fuelectenerg-11176	18	20	a	a	DET
fuelectenerg-11176	18	21	target	target	NOUN
fuelectenerg-11176	18	22	line	line	NOUN
fuelectenerg-11176	18	23	are	be	AUX
fuelectenerg-11176	18	24	shown	show	VERB
fuelectenerg-11176	18	25	in	in	ADP
fuelectenerg-11176	18	26	fig	fig	NOUN
fuelectenerg-11176	18	27	.	.	PUNCT
fuelectenerg-11176	19	1	1	1	X
fuelectenerg-11176	19	2	.	.	X
fuelectenerg-11176	19	3	received	receive	VERB
fuelectenerg-11176	19	4	october	october	PROPN
fuelectenerg-11176	19	5	05	05	NUM
fuelectenerg-11176	19	6	,	,	PUNCT
fuelectenerg-11176	19	7	2022	2022	NUM
fuelectenerg-11176	19	8	;	;	PUNCT
fuelectenerg-11176	19	9	revised	revise	VERB
fuelectenerg-11176	19	10	january	january	PROPN
fuelectenerg-11176	19	11	13	13	NUM
fuelectenerg-11176	19	12	,	,	PUNCT
fuelectenerg-11176	19	13	2023	2023	NUM
fuelectenerg-11176	19	14	;	;	PUNCT
fuelectenerg-11176	19	15	accepted	accept	VERB
fuelectenerg-11176	19	16	january	january	PROPN
fuelectenerg-11176	19	17	18	18	NUM
fuelectenerg-11176	19	18	,	,	PUNCT
fuelectenerg-11176	19	19	2023	2023	NUM
fuelectenerg-11176	19	20	corresponding	correspond	VERB
fuelectenerg-11176	19	21	author	author	NOUN
fuelectenerg-11176	19	22	:	:	PUNCT
fuelectenerg-11176	19	23	claudio	claudio	PROPN
fuelectenerg-11176	19	24	moraga	moraga	PROPN
fuelectenerg-11176	19	25	technical	technical	PROPN
fuelectenerg-11176	19	26	university	university	PROPN
fuelectenerg-11176	19	27	of	of	ADP
fuelectenerg-11176	19	28	dortmund	dortmund	PROPN
fuelectenerg-11176	19	29	,	,	PUNCT
fuelectenerg-11176	19	30	44221	44221	NUM
fuelectenerg-11176	19	31	dortmund	dortmund	NOUN
fuelectenerg-11176	19	32	,	,	PUNCT
fuelectenerg-11176	19	33	germany	germany	PROPN
fuelectenerg-11176	19	34	e	e	PROPN
fuelectenerg-11176	19	35	-	-	NOUN
fuelectenerg-11176	19	36	mail	mail	NOUN
fuelectenerg-11176	19	37	:	:	PUNCT
fuelectenerg-11176	19	38	claudio.moraga@tu-dortmund.de	claudio.moraga@tu-dortmund.de	NUM
fuelectenerg-11176	19	39	received	receive	VERB
fuelectenerg-11176	19	40	september	september	PROPN
fuelectenerg-11176	19	41	29	29	NUM
fuelectenerg-11176	19	42	,	,	PUNCT
fuelectenerg-11176	19	43	2022	2022	NUM
fuelectenerg-11176	19	44	;	;	PUNCT
fuelectenerg-11176	19	45	revised	revise	VERB
fuelectenerg-11176	19	46	december	december	PROPN
fuelectenerg-11176	19	47	11	11	NUM
fuelectenerg-11176	19	48	,	,	PUNCT
fuelectenerg-11176	19	49	2022	2022	NUM
fuelectenerg-11176	19	50	;	;	PUNCT
fuelectenerg-11176	19	51	accepted	accept	VERB
fuelectenerg-11176	19	52	january	january	PROPN
fuelectenerg-11176	19	53	06	06	NUM
fuelectenerg-11176	19	54	,	,	PUNCT
fuelectenerg-11176	19	55	2023	2023	NUM
fuelectenerg-11176	19	56	254	254	NUM
fuelectenerg-11176	19	57	c.	c.	PROPN
fuelectenerg-11176	19	58	moraga	moraga	PROPN
fuelectenerg-11176	19	59	,	,	PUNCT
fuelectenerg-11176	19	60	f.	f.	PROPN
fuelectenerg-11176	19	61	z.	z.	PROPN
fuelectenerg-11176	19	62	hadjam	hadjam	PROPN
fuelectenerg-11176	19	63	fig	fig	PROPN
fuelectenerg-11176	19	64	.	.	PUNCT
fuelectenerg-11176	20	1	1	1	NUM
fuelectenerg-11176	20	2	symbols	symbol	NOUN
fuelectenerg-11176	20	3	and	and	CCONJ
fuelectenerg-11176	20	4	functionality	functionality	NOUN
fuelectenerg-11176	20	5	for	for	ADP
fuelectenerg-11176	20	6	the	the	DET
fuelectenerg-11176	20	7	reversible	reversible	ADJ
fuelectenerg-11176	20	8	gates	gate	NOUN
fuelectenerg-11176	20	9	not	not	PART
fuelectenerg-11176	20	10	,	,	PUNCT
fuelectenerg-11176	20	11	controlled	control	VERB
fuelectenerg-11176	20	12	not	not	PART
fuelectenerg-11176	20	13	and	and	CCONJ
fuelectenerg-11176	20	14	toffoli	toffoli	VERB
fuelectenerg-11176	20	15	the	the	DET
fuelectenerg-11176	20	16	not	not	PART
fuelectenerg-11176	20	17	gate	gate	NOUN
fuelectenerg-11176	20	18	(	(	PUNCT
fuelectenerg-11176	20	19	represented	represent	VERB
fuelectenerg-11176	20	20	with	with	ADP
fuelectenerg-11176	20	21	an	an	DET
fuelectenerg-11176	20	22	exor	exor	NOUN
fuelectenerg-11176	20	23	symbol	symbol	NOUN
fuelectenerg-11176	20	24	)	)	PUNCT
fuelectenerg-11176	20	25	is	be	AUX
fuelectenerg-11176	20	26	not	not	PART
fuelectenerg-11176	20	27	controlled	control	VERB
fuelectenerg-11176	20	28	and	and	CCONJ
fuelectenerg-11176	20	29	acts	act	VERB
fuelectenerg-11176	20	30	directly	directly	ADV
fuelectenerg-11176	20	31	on	on	ADP
fuelectenerg-11176	20	32	its	its	PRON
fuelectenerg-11176	20	33	target	target	NOUN
fuelectenerg-11176	20	34	line	line	NOUN
fuelectenerg-11176	20	35	.	.	PUNCT
fuelectenerg-11176	21	1	in	in	ADP
fuelectenerg-11176	21	2	the	the	DET
fuelectenerg-11176	21	3	cnot	cnot	NOUN
fuelectenerg-11176	21	4	and	and	CCONJ
fuelectenerg-11176	21	5	toffoli	toffoli	PROPN
fuelectenerg-11176	21	6	gates	gate	NOUN
fuelectenerg-11176	21	7	,	,	PUNCT
fuelectenerg-11176	21	8	control	control	NOUN
fuelectenerg-11176	21	9	signals	signal	NOUN
fuelectenerg-11176	21	10	and	and	CCONJ
fuelectenerg-11176	21	11	target	target	NOUN
fuelectenerg-11176	21	12	signals	signal	NOUN
fuelectenerg-11176	21	13	are	be	AUX
fuelectenerg-11176	21	14	distinguished	distinguish	VERB
fuelectenerg-11176	21	15	.	.	PUNCT
fuelectenerg-11176	22	1	the	the	DET
fuelectenerg-11176	22	2	not	not	PART
fuelectenerg-11176	22	3	component	component	NOUN
fuelectenerg-11176	22	4	acts	act	NOUN
fuelectenerg-11176	22	5	on	on	ADP
fuelectenerg-11176	22	6	the	the	DET
fuelectenerg-11176	22	7	target	target	NOUN
fuelectenerg-11176	22	8	signal	signal	NOUN
fuelectenerg-11176	22	9	whenever	whenever	SCONJ
fuelectenerg-11176	22	10	the	the	DET
fuelectenerg-11176	22	11	control	control	NOUN
fuelectenerg-11176	22	12	signals	signal	NOUN
fuelectenerg-11176	22	13	have	have	VERB
fuelectenerg-11176	22	14	the	the	DET
fuelectenerg-11176	22	15	value	value	NOUN
fuelectenerg-11176	22	16	1	1	NUM
fuelectenerg-11176	22	17	.	.	PUNCT
fuelectenerg-11176	22	18	black	black	ADJ
fuelectenerg-11176	22	19	dots	dot	NOUN
fuelectenerg-11176	22	20	identify	identify	VERB
fuelectenerg-11176	22	21	which	which	DET
fuelectenerg-11176	22	22	signal	signal	NOUN
fuelectenerg-11176	22	23	or	or	CCONJ
fuelectenerg-11176	22	24	signals	signal	NOUN
fuelectenerg-11176	22	25	are	be	AUX
fuelectenerg-11176	22	26	controlling	control	VERB
fuelectenerg-11176	22	27	the	the	DET
fuelectenerg-11176	22	28	not	not	PART
fuelectenerg-11176	22	29	component	component	NOUN
fuelectenerg-11176	22	30	.	.	PUNCT
fuelectenerg-11176	23	1	the	the	DET
fuelectenerg-11176	23	2	design	design	NOUN
fuelectenerg-11176	23	3	of	of	ADP
fuelectenerg-11176	23	4	minimal	minimal	ADJ
fuelectenerg-11176	23	5	boolean	boolean	ADJ
fuelectenerg-11176	23	6	circuits	circuit	NOUN
fuelectenerg-11176	23	7	is	be	AUX
fuelectenerg-11176	23	8	known	know	VERB
fuelectenerg-11176	23	9	to	to	PART
fuelectenerg-11176	23	10	be	be	AUX
fuelectenerg-11176	23	11	np	np	NOUN
fuelectenerg-11176	23	12	-	-	NOUN
fuelectenerg-11176	23	13	complete	complete	ADJ
fuelectenerg-11176	23	14	,	,	PUNCT
fuelectenerg-11176	23	15	and	and	CCONJ
fuelectenerg-11176	23	16	the	the	DET
fuelectenerg-11176	23	17	design	design	NOUN
fuelectenerg-11176	23	18	of	of	ADP
fuelectenerg-11176	23	19	minimal	minimal	ADJ
fuelectenerg-11176	23	20	reversible	reversible	ADJ
fuelectenerg-11176	23	21	circuits	circuit	NOUN
fuelectenerg-11176	23	22	is	be	AUX
fuelectenerg-11176	23	23	np	np	INTJ
fuelectenerg-11176	23	24	-	-	ADJ
fuelectenerg-11176	23	25	hard	hard	ADJ
fuelectenerg-11176	23	26	[	[	X
fuelectenerg-11176	23	27	20	20	NUM
fuelectenerg-11176	23	28	]	]	PUNCT
fuelectenerg-11176	23	29	.	.	PUNCT
fuelectenerg-11176	24	1	this	this	PRON
fuelectenerg-11176	24	2	has	have	AUX
fuelectenerg-11176	24	3	led	lead	VERB
fuelectenerg-11176	24	4	to	to	ADP
fuelectenerg-11176	24	5	the	the	DET
fuelectenerg-11176	24	6	development	development	NOUN
fuelectenerg-11176	24	7	of	of	ADP
fuelectenerg-11176	24	8	different	different	ADJ
fuelectenerg-11176	24	9	heuristics	heuristic	NOUN
fuelectenerg-11176	24	10	to	to	PART
fuelectenerg-11176	24	11	synthesize	synthesize	VERB
fuelectenerg-11176	24	12	reversible	reversible	ADJ
fuelectenerg-11176	24	13	circuits	circuit	NOUN
fuelectenerg-11176	24	14	[	[	X
fuelectenerg-11176	24	15	4	4	NUM
fuelectenerg-11176	24	16	]	]	PUNCT
fuelectenerg-11176	24	17	,	,	PUNCT
fuelectenerg-11176	24	18	[	[	X
fuelectenerg-11176	24	19	17	17	NUM
fuelectenerg-11176	24	20	]	]	PUNCT
fuelectenerg-11176	24	21	,	,	PUNCT
fuelectenerg-11176	24	22	[	[	X
fuelectenerg-11176	24	23	21	21	NUM
fuelectenerg-11176	24	24	]	]	PUNCT
fuelectenerg-11176	24	25	,	,	PUNCT
fuelectenerg-11176	24	26	[	[	X
fuelectenerg-11176	24	27	24	24	NUM
fuelectenerg-11176	24	28	]	]	PUNCT
fuelectenerg-11176	24	29	,	,	PUNCT
fuelectenerg-11176	24	30	[	[	X
fuelectenerg-11176	24	31	25	25	NUM
fuelectenerg-11176	24	32	]	]	PUNCT
fuelectenerg-11176	24	33	,	,	PUNCT
fuelectenerg-11176	24	34	and	and	CCONJ
fuelectenerg-11176	24	35	also	also	ADV
fuelectenerg-11176	24	36	to	to	ADP
fuelectenerg-11176	24	37	postprocessing	postprocesse	VERB
fuelectenerg-11176	24	38	strategies	strategy	NOUN
fuelectenerg-11176	24	39	to	to	PART
fuelectenerg-11176	24	40	improve	improve	VERB
fuelectenerg-11176	24	41	the	the	DET
fuelectenerg-11176	24	42	minimization	minimization	NOUN
fuelectenerg-11176	24	43	of	of	ADP
fuelectenerg-11176	24	44	circuits	circuit	NOUN
fuelectenerg-11176	24	45	[	[	X
fuelectenerg-11176	24	46	19	19	NUM
fuelectenerg-11176	24	47	]	]	PUNCT
fuelectenerg-11176	24	48	,	,	PUNCT
fuelectenerg-11176	24	49	[	[	X
fuelectenerg-11176	24	50	23	23	NUM
fuelectenerg-11176	24	51	]	]	PUNCT
fuelectenerg-11176	24	52	.	.	PUNCT
fuelectenerg-11176	25	1	in	in	ADP
fuelectenerg-11176	25	2	the	the	DET
fuelectenerg-11176	25	3	last	last	ADJ
fuelectenerg-11176	25	4	25	25	NUM
fuelectenerg-11176	25	5	years	year	NOUN
fuelectenerg-11176	25	6	there	there	PRON
fuelectenerg-11176	25	7	have	have	AUX
fuelectenerg-11176	25	8	been	be	AUX
fuelectenerg-11176	25	9	important	important	ADJ
fuelectenerg-11176	25	10	developments	development	NOUN
fuelectenerg-11176	25	11	that	that	PRON
fuelectenerg-11176	25	12	have	have	AUX
fuelectenerg-11176	25	13	contributed	contribute	VERB
fuelectenerg-11176	25	14	to	to	ADP
fuelectenerg-11176	25	15	the	the	DET
fuelectenerg-11176	25	16	improvement	improvement	NOUN
fuelectenerg-11176	25	17	of	of	ADP
fuelectenerg-11176	25	18	the	the	DET
fuelectenerg-11176	25	19	synthesis	synthesis	NOUN
fuelectenerg-11176	25	20	methods	method	NOUN
fuelectenerg-11176	25	21	.	.	PUNCT
fuelectenerg-11176	26	1	among	among	ADP
fuelectenerg-11176	26	2	the	the	DET
fuelectenerg-11176	26	3	most	most	ADV
fuelectenerg-11176	26	4	relevant	relevant	ADJ
fuelectenerg-11176	26	5	from	from	ADP
fuelectenerg-11176	26	6	the	the	DET
fuelectenerg-11176	26	7	hardware	hardware	NOUN
fuelectenerg-11176	26	8	point	point	NOUN
fuelectenerg-11176	26	9	of	of	ADP
fuelectenerg-11176	26	10	view	view	NOUN
fuelectenerg-11176	26	11	are	be	AUX
fuelectenerg-11176	26	12	the	the	DET
fuelectenerg-11176	26	13	increasing	increase	VERB
fuelectenerg-11176	26	14	speed	speed	NOUN
fuelectenerg-11176	26	15	of	of	ADP
fuelectenerg-11176	26	16	computers	computer	NOUN
fuelectenerg-11176	26	17	and	and	CCONJ
fuelectenerg-11176	26	18	the	the	DET
fuelectenerg-11176	26	19	increasing	increase	VERB
fuelectenerg-11176	26	20	size	size	NOUN
fuelectenerg-11176	26	21	of	of	ADP
fuelectenerg-11176	26	22	memories	memory	NOUN
fuelectenerg-11176	26	23	.	.	PUNCT
fuelectenerg-11176	27	1	this	this	PRON
fuelectenerg-11176	27	2	has	have	AUX
fuelectenerg-11176	27	3	opened	open	VERB
fuelectenerg-11176	27	4	the	the	DET
fuelectenerg-11176	27	5	possibility	possibility	NOUN
fuelectenerg-11176	27	6	of	of	ADP
fuelectenerg-11176	27	7	including	include	VERB
fuelectenerg-11176	27	8	search	search	NOUN
fuelectenerg-11176	27	9	[	[	X
fuelectenerg-11176	27	10	12	12	NUM
fuelectenerg-11176	27	11	]	]	PUNCT
fuelectenerg-11176	27	12	,	,	PUNCT
fuelectenerg-11176	27	13	evolutionary	evolutionary	ADJ
fuelectenerg-11176	27	14	algorithms	algorithm	NOUN
fuelectenerg-11176	27	15	[	[	X
fuelectenerg-11176	27	16	7	7	NUM
fuelectenerg-11176	27	17	]	]	PUNCT
fuelectenerg-11176	27	18	,	,	PUNCT
fuelectenerg-11176	27	19	[	[	X
fuelectenerg-11176	27	20	8	8	NUM
fuelectenerg-11176	27	21	]	]	PUNCT
fuelectenerg-11176	27	22	,	,	PUNCT
fuelectenerg-11176	27	23	[	[	X
fuelectenerg-11176	27	24	10	10	NUM
fuelectenerg-11176	27	25	]	]	PUNCT
fuelectenerg-11176	27	26	or	or	CCONJ
fuelectenerg-11176	27	27	sat	sit	VERB
fuelectenerg-11176	27	28	solvers	solver	NOUN
fuelectenerg-11176	27	29	[	[	X
fuelectenerg-11176	27	30	17	17	NUM
fuelectenerg-11176	27	31	]	]	PUNCT
fuelectenerg-11176	27	32	for	for	ADP
fuelectenerg-11176	27	33	the	the	DET
fuelectenerg-11176	27	34	synthesis	synthesis	NOUN
fuelectenerg-11176	27	35	of	of	ADP
fuelectenerg-11176	27	36	reversible	reversible	ADJ
fuelectenerg-11176	27	37	/	/	SYM
fuelectenerg-11176	27	38	quantum	quantum	ADJ
fuelectenerg-11176	27	39	circuits	circuit	NOUN
fuelectenerg-11176	27	40	.	.	PUNCT
fuelectenerg-11176	28	1	at	at	ADP
fuelectenerg-11176	28	2	the	the	DET
fuelectenerg-11176	28	3	software	software	NOUN
fuelectenerg-11176	28	4	side	side	NOUN
fuelectenerg-11176	28	5	,	,	PUNCT
fuelectenerg-11176	28	6	the	the	DET
fuelectenerg-11176	28	7	development	development	NOUN
fuelectenerg-11176	28	8	of	of	ADP
fuelectenerg-11176	28	9	specialized	specialized	ADJ
fuelectenerg-11176	28	10	efficient	efficient	ADJ
fuelectenerg-11176	28	11	libraries	library	NOUN
fuelectenerg-11176	28	12	may	may	AUX
fuelectenerg-11176	28	13	be	be	AUX
fuelectenerg-11176	28	14	mentioned	mention	VERB
fuelectenerg-11176	28	15	.	.	PUNCT
fuelectenerg-11176	29	1	at	at	ADP
fuelectenerg-11176	29	2	the	the	DET
fuelectenerg-11176	29	3	level	level	NOUN
fuelectenerg-11176	29	4	of	of	ADP
fuelectenerg-11176	29	5	gates	gate	NOUN
fuelectenerg-11176	29	6	,	,	PUNCT
fuelectenerg-11176	29	7	both	both	CCONJ
fuelectenerg-11176	29	8	the	the	DET
fuelectenerg-11176	29	9	use	use	NOUN
fuelectenerg-11176	29	10	of	of	ADP
fuelectenerg-11176	29	11	the	the	DET
fuelectenerg-11176	29	12	value	value	NOUN
fuelectenerg-11176	29	13	0	0	NUM
fuelectenerg-11176	29	14	for	for	ADP
fuelectenerg-11176	29	15	control	control	NOUN
fuelectenerg-11176	29	16	signals	signal	NOUN
fuelectenerg-11176	29	17	identified	identify	VERB
fuelectenerg-11176	29	18	by	by	ADP
fuelectenerg-11176	29	19	“	"	PUNCT
fuelectenerg-11176	29	20	white	white	ADJ
fuelectenerg-11176	29	21	dots	dot	NOUN
fuelectenerg-11176	29	22	”	"	PUNCT
fuelectenerg-11176	29	23	[	[	X
fuelectenerg-11176	29	24	23	23	NUM
fuelectenerg-11176	29	25	]	]	PUNCT
fuelectenerg-11176	29	26	,	,	PUNCT
fuelectenerg-11176	29	27	[	[	X
fuelectenerg-11176	29	28	14	14	NUM
fuelectenerg-11176	29	29	]	]	PUNCT
fuelectenerg-11176	29	30	,	,	PUNCT
fuelectenerg-11176	29	31	frequently	frequently	ADV
fuelectenerg-11176	29	32	referred	refer	VERB
fuelectenerg-11176	29	33	to	to	ADP
fuelectenerg-11176	29	34	as	as	ADP
fuelectenerg-11176	29	35	“	"	PUNCT
fuelectenerg-11176	29	36	mixed	mixed	ADJ
fuelectenerg-11176	29	37	polarity	polarity	NOUN
fuelectenerg-11176	29	38	”	"	PUNCT
fuelectenerg-11176	29	39	,	,	PUNCT
fuelectenerg-11176	29	40	and	and	CCONJ
fuelectenerg-11176	29	41	the	the	DET
fuelectenerg-11176	29	42	use	use	NOUN
fuelectenerg-11176	29	43	of	of	ADP
fuelectenerg-11176	29	44	disjoint	disjoint	NOUN
fuelectenerg-11176	29	45	control	control	NOUN
fuelectenerg-11176	29	46	signals	signal	NOUN
fuelectenerg-11176	29	47	[	[	X
fuelectenerg-11176	29	48	13	13	NUM
fuelectenerg-11176	29	49	]	]	PUNCT
fuelectenerg-11176	29	50	,	,	PUNCT
fuelectenerg-11176	29	51	[	[	X
fuelectenerg-11176	29	52	15	15	NUM
fuelectenerg-11176	29	53	]	]	X
fuelectenerg-11176	29	54	may	may	AUX
fuelectenerg-11176	29	55	be	be	AUX
fuelectenerg-11176	29	56	mentioned	mention	VERB
fuelectenerg-11176	29	57	.	.	PUNCT
fuelectenerg-11176	30	1	in	in	ADP
fuelectenerg-11176	30	2	what	what	PRON
fuelectenerg-11176	30	3	follows	follow	VERB
fuelectenerg-11176	30	4	,	,	PUNCT
fuelectenerg-11176	30	5	the	the	DET
fuelectenerg-11176	30	6	“	"	PUNCT
fuelectenerg-11176	30	7	generalization	generalization	NOUN
fuelectenerg-11176	30	8	”	"	PUNCT
fuelectenerg-11176	30	9	of	of	ADP
fuelectenerg-11176	30	10	fredkin	fredkin	NOUN
fuelectenerg-11176	30	11	gates	gate	NOUN
fuelectenerg-11176	30	12	in	in	ADP
fuelectenerg-11176	30	13	the	the	DET
fuelectenerg-11176	30	14	reversible	reversible	ADJ
fuelectenerg-11176	30	15	domain	domain	NOUN
fuelectenerg-11176	30	16	and	and	CCONJ
fuelectenerg-11176	30	17	a	a	DET
fuelectenerg-11176	30	18	relevant	relevant	ADJ
fuelectenerg-11176	30	19	application	application	NOUN
fuelectenerg-11176	30	20	in	in	ADP
fuelectenerg-11176	30	21	the	the	DET
fuelectenerg-11176	30	22	quantum	quantum	ADJ
fuelectenerg-11176	30	23	domain	domain	NOUN
fuelectenerg-11176	30	24	will	will	AUX
fuelectenerg-11176	30	25	be	be	AUX
fuelectenerg-11176	30	26	analyzed	analyze	VERB
fuelectenerg-11176	30	27	.	.	PUNCT
fuelectenerg-11176	31	1	it	it	PRON
fuelectenerg-11176	31	2	may	may	AUX
fuelectenerg-11176	31	3	be	be	AUX
fuelectenerg-11176	31	4	mentioned	mention	VERB
fuelectenerg-11176	31	5	that	that	SCONJ
fuelectenerg-11176	31	6	in	in	ADP
fuelectenerg-11176	31	7	[	[	X
fuelectenerg-11176	31	8	5	5	NUM
fuelectenerg-11176	31	9	]	]	PUNCT
fuelectenerg-11176	31	10	the	the	DET
fuelectenerg-11176	31	11	term	term	NOUN
fuelectenerg-11176	31	12	“	"	PUNCT
fuelectenerg-11176	31	13	generalized	generalized	ADJ
fuelectenerg-11176	31	14	fredkin	fredkin	NOUN
fuelectenerg-11176	31	15	gate	gate	NOUN
fuelectenerg-11176	31	16	”	"	PUNCT
fuelectenerg-11176	31	17	is	be	AUX
fuelectenerg-11176	31	18	used	use	VERB
fuelectenerg-11176	31	19	,	,	PUNCT
fuelectenerg-11176	31	20	referring	refer	VERB
fuelectenerg-11176	31	21	to	to	ADP
fuelectenerg-11176	31	22	fredkin	fredkin	NOUN
fuelectenerg-11176	31	23	gates	gate	NOUN
fuelectenerg-11176	31	24	with	with	ADP
fuelectenerg-11176	31	25	multiple	multiple	ADJ
fuelectenerg-11176	31	26	control	control	NOUN
fuelectenerg-11176	31	27	lines	line	NOUN
fuelectenerg-11176	31	28	.	.	PUNCT
fuelectenerg-11176	32	1	2	2	X
fuelectenerg-11176	32	2	.	.	X
fuelectenerg-11176	32	3	the	the	DET
fuelectenerg-11176	32	4	reversible	reversible	ADJ
fuelectenerg-11176	32	5	domain	domain	NOUN
fuelectenerg-11176	32	6	it	it	PRON
fuelectenerg-11176	32	7	is	be	AUX
fuelectenerg-11176	32	8	not	not	PART
fuelectenerg-11176	32	9	known	know	VERB
fuelectenerg-11176	32	10	whether	whether	SCONJ
fuelectenerg-11176	32	11	the	the	DET
fuelectenerg-11176	32	12	fredkin	fredkin	NOUN
fuelectenerg-11176	32	13	gate	gate	NOUN
fuelectenerg-11176	32	14	ever	ever	ADV
fuelectenerg-11176	32	15	had	have	VERB
fuelectenerg-11176	32	16	an	an	DET
fuelectenerg-11176	32	17	own	own	ADJ
fuelectenerg-11176	32	18	representation	representation	NOUN
fuelectenerg-11176	32	19	symbol	symbol	NOUN
fuelectenerg-11176	32	20	(	(	PUNCT
fuelectenerg-11176	32	21	other	other	ADJ
fuelectenerg-11176	32	22	than	than	ADP
fuelectenerg-11176	32	23	a	a	DET
fuelectenerg-11176	32	24	box	box	NOUN
fuelectenerg-11176	32	25	with	with	ADP
fuelectenerg-11176	32	26	three	three	NUM
fuelectenerg-11176	32	27	inputs	input	NOUN
fuelectenerg-11176	32	28	and	and	CCONJ
fuelectenerg-11176	32	29	three	three	NUM
fuelectenerg-11176	32	30	outputs	output	NOUN
fuelectenerg-11176	32	31	)	)	PUNCT
fuelectenerg-11176	32	32	.	.	PUNCT
fuelectenerg-11176	33	1	possibly	possibly	ADV
fuelectenerg-11176	33	2	a	a	DET
fuelectenerg-11176	33	3	first	first	ADJ
fuelectenerg-11176	33	4	symbolic	symbolic	ADJ
fuelectenerg-11176	33	5	representation	representation	NOUN
fuelectenerg-11176	33	6	was	be	AUX
fuelectenerg-11176	33	7	introduced	introduce	VERB
fuelectenerg-11176	33	8	in	in	ADP
fuelectenerg-11176	33	9	[	[	X
fuelectenerg-11176	33	10	11	11	NUM
fuelectenerg-11176	33	11	]	]	PUNCT
fuelectenerg-11176	33	12	,	,	PUNCT
fuelectenerg-11176	33	13	which	which	PRON
fuelectenerg-11176	33	14	has	have	AUX
fuelectenerg-11176	33	15	been	be	AUX
fuelectenerg-11176	33	16	later	later	ADV
fuelectenerg-11176	33	17	replaced	replace	VERB
fuelectenerg-11176	33	18	by	by	ADP
fuelectenerg-11176	33	19	the	the	DET
fuelectenerg-11176	33	20	symbol	symbol	NOUN
fuelectenerg-11176	33	21	used	use	VERB
fuelectenerg-11176	33	22	in	in	ADP
fuelectenerg-11176	33	23	circuits	circuit	NOUN
fuelectenerg-11176	33	24	for	for	ADP
fuelectenerg-11176	33	25	quantum	quantum	NOUN
fuelectenerg-11176	33	26	computing	computing	NOUN
fuelectenerg-11176	33	27	,	,	PUNCT
fuelectenerg-11176	33	28	as	as	ADP
fuelectenerg-11176	33	29	in	in	ADP
fuelectenerg-11176	33	30	e.g.	e.g.	ADV
fuelectenerg-11176	33	31	[	[	X
fuelectenerg-11176	33	32	5	5	NUM
fuelectenerg-11176	33	33	]	]	PUNCT
fuelectenerg-11176	33	34	.	.	PUNCT
fuelectenerg-11176	34	1	in	in	ADP
fuelectenerg-11176	34	2	the	the	DET
fuelectenerg-11176	34	3	literature	literature	NOUN
fuelectenerg-11176	34	4	this	this	DET
fuelectenerg-11176	34	5	gate	gate	NOUN
fuelectenerg-11176	34	6	appears	appear	VERB
fuelectenerg-11176	34	7	frequently	frequently	ADV
fuelectenerg-11176	34	8	as	as	ADP
fuelectenerg-11176	34	9	a	a	DET
fuelectenerg-11176	34	10	toffoli	toffoli	NOUN
fuelectenerg-11176	34	11	and	and	CCONJ
fuelectenerg-11176	34	12	cnots	cnot	NOUN
fuelectenerg-11176	34	13	building	building	NOUN
fuelectenerg-11176	34	14	block	block	NOUN
fuelectenerg-11176	34	15	,	,	PUNCT
fuelectenerg-11176	34	16	as	as	SCONJ
fuelectenerg-11176	34	17	shown	show	VERB
fuelectenerg-11176	34	18	in	in	ADP
fuelectenerg-11176	34	19	fig	fig	NOUN
fuelectenerg-11176	34	20	.	.	PUNCT
fuelectenerg-11176	35	1	2	2	NUM
fuelectenerg-11176	35	2	(	(	PUNCT
fuelectenerg-11176	35	3	left	leave	VERB
fuelectenerg-11176	35	4	)	)	PUNCT
fuelectenerg-11176	35	5	.	.	PUNCT
fuelectenerg-11176	36	1	in	in	ADP
fuelectenerg-11176	36	2	what	what	PRON
fuelectenerg-11176	36	3	follows	follow	VERB
fuelectenerg-11176	36	4	,	,	PUNCT
fuelectenerg-11176	36	5	this	this	DET
fuelectenerg-11176	36	6	building	building	NOUN
fuelectenerg-11176	36	7	block	block	NOUN
fuelectenerg-11176	36	8	will	will	AUX
fuelectenerg-11176	36	9	frequently	frequently	ADV
fuelectenerg-11176	36	10	be	be	AUX
fuelectenerg-11176	36	11	called	call	VERB
fuelectenerg-11176	36	12	simply	simply	ADV
fuelectenerg-11176	36	13	fredkin	fredkin	NOUN
fuelectenerg-11176	36	14	“	"	PUNCT
fuelectenerg-11176	36	15	gate	gate	VERB
fuelectenerg-11176	36	16	”	"	PUNCT
fuelectenerg-11176	36	17	and	and	CCONJ
fuelectenerg-11176	36	18	will	will	AUX
fuelectenerg-11176	36	19	be	be	AUX
fuelectenerg-11176	36	20	used	use	VERB
fuelectenerg-11176	36	21	to	to	PART
fuelectenerg-11176	36	22	illustrate	illustrate	VERB
fuelectenerg-11176	36	23	the	the	DET
fuelectenerg-11176	36	24	effects	effect	NOUN
fuelectenerg-11176	36	25	of	of	ADP
fuelectenerg-11176	36	26	mixed	mixed	ADJ
fuelectenerg-11176	36	27	polarity	polarity	NOUN
fuelectenerg-11176	36	28	.	.	PUNCT
fuelectenerg-11176	37	1	at	at	ADP
fuelectenerg-11176	37	2	the	the	DET
fuelectenerg-11176	37	3	output	output	NOUN
fuelectenerg-11176	37	4	side	side	NOUN
fuelectenerg-11176	37	5	,	,	PUNCT
fuelectenerg-11176	37	6	variables	variable	NOUN
fuelectenerg-11176	37	7	will	will	AUX
fuelectenerg-11176	37	8	have	have	VERB
fuelectenerg-11176	37	9	a	a	DET
fuelectenerg-11176	37	10	prime	prime	ADJ
fuelectenerg-11176	37	11	apostroph	apostroph	PROPN
fuelectenerg-11176	37	12	sign	sign	PROPN
fuelectenerg-11176	37	13	.	.	PUNCT
fuelectenerg-11176	38	1	(	(	PUNCT
fuelectenerg-11176	38	2	complemented	complemented	ADJ
fuelectenerg-11176	38	3	variables	variable	NOUN
fuelectenerg-11176	38	4	,	,	PUNCT
fuelectenerg-11176	38	5	on	on	ADP
fuelectenerg-11176	38	6	the	the	DET
fuelectenerg-11176	38	7	other	other	ADJ
fuelectenerg-11176	38	8	hand	hand	NOUN
fuelectenerg-11176	38	9	,	,	PUNCT
fuelectenerg-11176	38	10	will	will	AUX
fuelectenerg-11176	38	11	have	have	VERB
fuelectenerg-11176	38	12	a	a	DET
fuelectenerg-11176	38	13	dash	dash	NOUN
fuelectenerg-11176	38	14	over	over	ADP
fuelectenerg-11176	38	15	their	their	PRON
fuelectenerg-11176	38	16	names	name	NOUN
fuelectenerg-11176	38	17	,	,	PUNCT
fuelectenerg-11176	38	18	as	as	SCONJ
fuelectenerg-11176	38	19	frequently	frequently	ADV
fuelectenerg-11176	38	20	used	use	VERB
fuelectenerg-11176	38	21	in	in	ADP
fuelectenerg-11176	38	22	switching	switch	VERB
fuelectenerg-11176	38	23	theory	theory	NOUN
fuelectenerg-11176	38	24	.	.	PUNCT
fuelectenerg-11176	38	25	)	)	PUNCT
fuelectenerg-11176	39	1	in	in	ADP
fuelectenerg-11176	39	2	the	the	DET
fuelectenerg-11176	39	3	barenco	barenco	NOUN
fuelectenerg-11176	39	4	et	et	PROPN
fuelectenerg-11176	39	5	al	al	PROPN
fuelectenerg-11176	39	6	.	.	PROPN
fuelectenerg-11176	39	7	based	base	VERB
fuelectenerg-11176	39	8	quantum	quantum	ADJ
fuelectenerg-11176	39	9	model	model	NOUN
fuelectenerg-11176	39	10	[	[	X
fuelectenerg-11176	39	11	1	1	NUM
fuelectenerg-11176	39	12	]	]	PUNCT
fuelectenerg-11176	39	13	,	,	PUNCT
fuelectenerg-11176	39	14	fig	fig	NOUN
fuelectenerg-11176	39	15	.	.	PUNCT
fuelectenerg-11176	39	16	2	2	NUM
fuelectenerg-11176	39	17	(	(	PUNCT
fuelectenerg-11176	39	18	right	right	NOUN
fuelectenerg-11176	39	19	)	)	PUNCT
fuelectenerg-11176	39	20	,	,	PUNCT
fuelectenerg-11176	39	21	a	a	DET
fuelectenerg-11176	39	22	white	white	PROPN
fuelectenerg-11176	39	23	box	box	PROPN
fuelectenerg-11176	39	24	represents	represent	VERB
fuelectenerg-11176	39	25	a	a	DET
fuelectenerg-11176	39	26	v	v	NOUN
fuelectenerg-11176	39	27	gate	gate	NOUN
fuelectenerg-11176	39	28	,	,	PUNCT
fuelectenerg-11176	39	29	whose	whose	DET
fuelectenerg-11176	39	30	functionality	functionality	NOUN
fuelectenerg-11176	39	31	equals	equal	VERB
fuelectenerg-11176	39	32	the	the	DET
fuelectenerg-11176	39	33	square	square	ADJ
fuelectenerg-11176	39	34	root	root	NOUN
fuelectenerg-11176	39	35	of	of	ADP
fuelectenerg-11176	39	36	not	not	PART
fuelectenerg-11176	39	37	and	and	CCONJ
fuelectenerg-11176	39	38	the	the	DET
fuelectenerg-11176	39	39	box	box	NOUN
fuelectenerg-11176	39	40	with	with	ADP
fuelectenerg-11176	39	41	a	a	DET
fuelectenerg-11176	39	42	diagonal	diagonal	NOUN
fuelectenerg-11176	39	43	represents	represent	VERB
fuelectenerg-11176	39	44	the	the	DET
fuelectenerg-11176	39	45	adjoint	adjoint	NOUN
fuelectenerg-11176	39	46	of	of	ADP
fuelectenerg-11176	39	47	v.	v.	ADP
fuelectenerg-11176	39	48	fig	fig	NOUN
fuelectenerg-11176	39	49	.	.	PUNCT
fuelectenerg-11176	40	1	2	2	NUM
fuelectenerg-11176	40	2	representation	representation	NOUN
fuelectenerg-11176	40	3	of	of	ADP
fuelectenerg-11176	40	4	the	the	DET
fuelectenerg-11176	40	5	fredkin	fredkin	NOUN
fuelectenerg-11176	40	6	gate	gate	NOUN
fuelectenerg-11176	40	7	as	as	ADP
fuelectenerg-11176	40	8	an	an	DET
fuelectenerg-11176	40	9	nct	nct	ADJ
fuelectenerg-11176	40	10	building	building	NOUN
fuelectenerg-11176	40	11	block	block	NOUN
fuelectenerg-11176	40	12	with	with	ADP
fuelectenerg-11176	40	13	positive	positive	ADJ
fuelectenerg-11176	40	14	control	control	NOUN
fuelectenerg-11176	40	15	(	(	PUNCT
fuelectenerg-11176	40	16	left	leave	VERB
fuelectenerg-11176	40	17	)	)	PUNCT
fuelectenerg-11176	40	18	and	and	CCONJ
fuelectenerg-11176	40	19	its	its	PRON
fuelectenerg-11176	40	20	barenco	barenco	NOUN
fuelectenerg-11176	40	21	et	et	PROPN
fuelectenerg-11176	40	22	al	al	PROPN
fuelectenerg-11176	40	23	.	.	PROPN
fuelectenerg-11176	40	24	based	base	VERB
fuelectenerg-11176	40	25	quantum	quantum	NOUN
fuelectenerg-11176	40	26	model	model	NOUN
fuelectenerg-11176	40	27	(	(	PUNCT
fuelectenerg-11176	40	28	right	right	NOUN
fuelectenerg-11176	40	29	)	)	PUNCT
fuelectenerg-11176	40	30	the	the	DET
fuelectenerg-11176	40	31	fredkin	fredkin	NOUN
fuelectenerg-11176	40	32	gate	gate	NOUN
fuelectenerg-11176	40	33	in	in	ADP
fuelectenerg-11176	40	34	reversible	reversible	ADJ
fuelectenerg-11176	40	35	and	and	CCONJ
fuelectenerg-11176	40	36	quantum	quantum	ADJ
fuelectenerg-11176	40	37	environments	environment	NOUN
fuelectenerg-11176	40	38	255	255	NUM
fuelectenerg-11176	40	39	the	the	DET
fuelectenerg-11176	40	40	functionality	functionality	NOUN
fuelectenerg-11176	40	41	of	of	ADP
fuelectenerg-11176	40	42	the	the	DET
fuelectenerg-11176	40	43	building	building	NOUN
fuelectenerg-11176	40	44	block	block	NOUN
fuelectenerg-11176	40	45	representing	represent	VERB
fuelectenerg-11176	40	46	the	the	DET
fuelectenerg-11176	40	47	fredkin	fredkin	NOUN
fuelectenerg-11176	40	48	gate	gate	NOUN
fuelectenerg-11176	40	49	is	be	AUX
fuelectenerg-11176	40	50	given	give	VERB
fuelectenerg-11176	40	51	by	by	ADP
fuelectenerg-11176	40	52	:	:	PUNCT
fuelectenerg-11176	40	53	𝑐3	𝑐3	NOUN
fuelectenerg-11176	40	54	′	′	NUM
fuelectenerg-11176	41	1	=	=	PUNCT
fuelectenerg-11176	41	2	𝑐3	𝑐3	NOUN
fuelectenerg-11176	41	3	⨁	⨁	PROPN
fuelectenerg-11176	41	4	𝑐1(𝑐2	𝑐1(𝑐2	NUM
fuelectenerg-11176	41	5	⨁	⨁	PROPN
fuelectenerg-11176	41	6	𝑐3	𝑐3	PROPN
fuelectenerg-11176	41	7	)	)	PUNCT
fuelectenerg-11176	42	1	=	=	PUNCT
fuelectenerg-11176	42	2	𝑐3	𝑐3	NOUN
fuelectenerg-11176	42	3	⨁	⨁	PROPN
fuelectenerg-11176	42	4	𝑐1𝑐2	𝑐1𝑐2	X
fuelectenerg-11176	42	5	⨁	⨁	PROPN
fuelectenerg-11176	42	6	𝑐1𝑐3	𝑐1𝑐3	X
fuelectenerg-11176	42	7	=	=	PUNCT
fuelectenerg-11176	42	8	𝑐1𝑐2	𝑐1𝑐2	PROPN
fuelectenerg-11176	42	9	⨁	⨁	PROPN
fuelectenerg-11176	42	10	𝑐1̅𝑐3	𝑐1̅𝑐3	NOUN
fuelectenerg-11176	42	11	,	,	PUNCT
fuelectenerg-11176	42	12	𝑐2	𝑐2	NOUN
fuelectenerg-11176	42	13	′	′	NUM
fuelectenerg-11176	42	14	=	=	SYM
fuelectenerg-11176	42	15	𝑐2	𝑐2	PROPN
fuelectenerg-11176	42	16	⨁	⨁	PROPN
fuelectenerg-11176	42	17	𝑐3	𝑐3	NOUN
fuelectenerg-11176	42	18	⨁	⨁	PROPN
fuelectenerg-11176	42	19	𝑐3	𝑐3	NOUN
fuelectenerg-11176	42	20	′	′	NUM
fuelectenerg-11176	43	1	=	=	SYM
fuelectenerg-11176	43	2	𝑐2	𝑐2	NOUN
fuelectenerg-11176	43	3	⨁	⨁	PROPN
fuelectenerg-11176	43	4	𝑐3	𝑐3	NOUN
fuelectenerg-11176	43	5	⨁	⨁	PROPN
fuelectenerg-11176	43	6	𝑐1𝑐2	𝑐1𝑐2	X
fuelectenerg-11176	43	7	⨁	⨁	PROPN
fuelectenerg-11176	43	8	𝑐1̅𝑐3	𝑐1̅𝑐3	NOUN
fuelectenerg-11176	43	9	=	=	PUNCT
fuelectenerg-11176	43	10	𝑐1̅𝑐2	𝑐1̅𝑐2	NOUN
fuelectenerg-11176	43	11	⨁	⨁	PROPN
fuelectenerg-11176	43	12	𝑐1𝑐3	𝑐1𝑐3	X
fuelectenerg-11176	43	13	,	,	PUNCT
fuelectenerg-11176	43	14	(	(	PUNCT
fuelectenerg-11176	43	15	1	1	X
fuelectenerg-11176	43	16	)	)	PUNCT
fuelectenerg-11176	43	17	𝑐1	𝑐1	NOUN
fuelectenerg-11176	43	18	′	′	NUM
fuelectenerg-11176	43	19	=	=	PUNCT
fuelectenerg-11176	44	1	𝑐1	𝑐1	NOUN
fuelectenerg-11176	44	2	.	.	PUNCT
fuelectenerg-11176	45	1	equations	equation	NOUN
fuelectenerg-11176	45	2	(	(	PUNCT
fuelectenerg-11176	45	3	1	1	X
fuelectenerg-11176	45	4	)	)	PUNCT
fuelectenerg-11176	45	5	may	may	AUX
fuelectenerg-11176	45	6	be	be	AUX
fuelectenerg-11176	45	7	expressed	express	VERB
fuelectenerg-11176	45	8	in	in	ADP
fuelectenerg-11176	45	9	the	the	DET
fuelectenerg-11176	45	10	following	following	ADJ
fuelectenerg-11176	45	11	summary	summary	NOUN
fuelectenerg-11176	45	12	:	:	PUNCT
fuelectenerg-11176	45	13	c1	c1	PROPN
fuelectenerg-11176	45	14	=	=	PROPN
fuelectenerg-11176	45	15	0	0	PROPN
fuelectenerg-11176	45	16	c1	c1	NOUN
fuelectenerg-11176	45	17	=	=	NOUN
fuelectenerg-11176	45	18	1	1	NUM
fuelectenerg-11176	45	19	c2	c2	PROPN
fuelectenerg-11176	45	20	’	'	PUNCT
fuelectenerg-11176	45	21	c2	c2	PROPN
fuelectenerg-11176	45	22	c3	c3	PROPN
fuelectenerg-11176	45	23	c3	c3	PROPN
fuelectenerg-11176	45	24	’	'	PUNCT
fuelectenerg-11176	45	25	c3	c3	PROPN
fuelectenerg-11176	45	26	c2	c2	PROPN
fuelectenerg-11176	45	27	the	the	DET
fuelectenerg-11176	45	28	tableau	tableau	PROPN
fuelectenerg-11176	45	29	expressed	express	VERB
fuelectenerg-11176	45	30	in	in	ADP
fuelectenerg-11176	45	31	words	word	NOUN
fuelectenerg-11176	45	32	means	mean	VERB
fuelectenerg-11176	45	33	that	that	SCONJ
fuelectenerg-11176	45	34	whenever	whenever	SCONJ
fuelectenerg-11176	45	35	c1	c1	PROPN
fuelectenerg-11176	45	36	has	have	VERB
fuelectenerg-11176	45	37	the	the	DET
fuelectenerg-11176	45	38	value	value	NOUN
fuelectenerg-11176	45	39	0	0	NUM
fuelectenerg-11176	45	40	,	,	PUNCT
fuelectenerg-11176	45	41	the	the	DET
fuelectenerg-11176	45	42	fredkin	fredkin	NOUN
fuelectenerg-11176	45	43	gate	gate	NOUN
fuelectenerg-11176	45	44	behaves	behave	VERB
fuelectenerg-11176	45	45	as	as	ADP
fuelectenerg-11176	45	46	an	an	DET
fuelectenerg-11176	45	47	identity	identity	NOUN
fuelectenerg-11176	45	48	,	,	PUNCT
fuelectenerg-11176	45	49	whereas	whereas	SCONJ
fuelectenerg-11176	45	50	when	when	SCONJ
fuelectenerg-11176	45	51	c1	c1	PROPN
fuelectenerg-11176	45	52	has	have	VERB
fuelectenerg-11176	45	53	the	the	DET
fuelectenerg-11176	45	54	value	value	NOUN
fuelectenerg-11176	45	55	1	1	NUM
fuelectenerg-11176	45	56	,	,	PUNCT
fuelectenerg-11176	45	57	then	then	ADV
fuelectenerg-11176	45	58	the	the	DET
fuelectenerg-11176	45	59	target	target	NOUN
fuelectenerg-11176	45	60	signals	signal	VERB
fuelectenerg-11176	45	61	c2	c2	PROPN
fuelectenerg-11176	45	62	and	and	CCONJ
fuelectenerg-11176	45	63	c3	c3	PROPN
fuelectenerg-11176	45	64	are	be	AUX
fuelectenerg-11176	45	65	exchanged	exchange	VERB
fuelectenerg-11176	45	66	.	.	PUNCT
fuelectenerg-11176	46	1	this	this	PRON
fuelectenerg-11176	46	2	means	mean	VERB
fuelectenerg-11176	46	3	that	that	SCONJ
fuelectenerg-11176	46	4	the	the	DET
fuelectenerg-11176	46	5	fredkin	fredkin	NOUN
fuelectenerg-11176	46	6	gate	gate	NOUN
fuelectenerg-11176	46	7	behaves	behave	VERB
fuelectenerg-11176	46	8	as	as	ADP
fuelectenerg-11176	46	9	a	a	DET
fuelectenerg-11176	46	10	“	"	PUNCT
fuelectenerg-11176	46	11	controlled	control	VERB
fuelectenerg-11176	46	12	swap	swap	NOUN
fuelectenerg-11176	46	13	”	"	PUNCT
fuelectenerg-11176	46	14	although	although	SCONJ
fuelectenerg-11176	46	15	this	this	DET
fuelectenerg-11176	46	16	name	name	NOUN
fuelectenerg-11176	46	17	is	be	AUX
fuelectenerg-11176	46	18	hardly	hardly	ADV
fuelectenerg-11176	46	19	used	use	VERB
fuelectenerg-11176	46	20	in	in	ADP
fuelectenerg-11176	46	21	the	the	DET
fuelectenerg-11176	46	22	community	community	NOUN
fuelectenerg-11176	46	23	working	work	VERB
fuelectenerg-11176	46	24	on	on	ADP
fuelectenerg-11176	46	25	reversible	reversible	ADJ
fuelectenerg-11176	46	26	circuits	circuit	NOUN
fuelectenerg-11176	46	27	.	.	PUNCT
fuelectenerg-11176	47	1	an	an	DET
fuelectenerg-11176	47	2	important	important	ADJ
fuelectenerg-11176	47	3	property	property	NOUN
fuelectenerg-11176	47	4	of	of	ADP
fuelectenerg-11176	47	5	the	the	DET
fuelectenerg-11176	47	6	fredkin	fredkin	NOUN
fuelectenerg-11176	47	7	gate	gate	NOUN
fuelectenerg-11176	47	8	is	be	AUX
fuelectenerg-11176	47	9	its	its	PRON
fuelectenerg-11176	47	10	completeness.in	completeness.in	ADJ
fuelectenerg-11176	47	11	(	(	PUNCT
fuelectenerg-11176	47	12	1	1	NUM
fuelectenerg-11176	47	13	)	)	PUNCT
fuelectenerg-11176	47	14	,	,	PUNCT
fuelectenerg-11176	47	15	let	let	VERB
fuelectenerg-11176	47	16	c2	c2	PROPN
fuelectenerg-11176	47	17	=	=	SYM
fuelectenerg-11176	48	1	1	1	X
fuelectenerg-11176	48	2	.	.	PUNCT
fuelectenerg-11176	49	1	then	then	ADV
fuelectenerg-11176	49	2	:	:	PUNCT
fuelectenerg-11176	49	3	c2	c2	PROPN
fuelectenerg-11176	49	4	’	'	PUNCT
fuelectenerg-11176	49	5	=	=	SYM
fuelectenerg-11176	49	6	𝑐1̅	𝑐1̅	PROPN
fuelectenerg-11176	49	7	⊕	⊕	PROPN
fuelectenerg-11176	49	8	𝑐1𝑐3	𝑐1𝑐3	PUNCT
fuelectenerg-11176	50	1	=	=	SYM
fuelectenerg-11176	50	2	1	1	NUM
fuelectenerg-11176	50	3	⊕	⊕	PROPN
fuelectenerg-11176	50	4	𝑐1	𝑐1	NOUN
fuelectenerg-11176	50	5	⨁𝑐1𝑐3	⨁𝑐1𝑐3	NOUN
fuelectenerg-11176	50	6	=	=	SYM
fuelectenerg-11176	50	7	1	1	NUM
fuelectenerg-11176	50	8	⨁	⨁	PROPN
fuelectenerg-11176	50	9	𝑐1𝑐3̅	𝑐1𝑐3̅	PUNCT
fuelectenerg-11176	50	10	=	=	SYM
fuelectenerg-11176	50	11	𝑐1̅	𝑐1̅	PROPN
fuelectenerg-11176	50	12	∨	∨	NUM
fuelectenerg-11176	50	13	𝑐3	𝑐3	NOUN
fuelectenerg-11176	50	14	=	=	NOUN
fuelectenerg-11176	50	15	𝑐1	𝑐1	NOUN
fuelectenerg-11176	50	16	→	→	SYM
fuelectenerg-11176	50	17	𝑐3	𝑐3	NOUN
fuelectenerg-11176	50	18	on	on	ADP
fuelectenerg-11176	50	19	the	the	DET
fuelectenerg-11176	50	20	other	other	ADJ
fuelectenerg-11176	50	21	hand	hand	NOUN
fuelectenerg-11176	50	22	,	,	PUNCT
fuelectenerg-11176	50	23	if	if	SCONJ
fuelectenerg-11176	50	24	for	for	ADP
fuelectenerg-11176	50	25	some	some	DET
fuelectenerg-11176	50	26	x	x	NOUN
fuelectenerg-11176	50	27	𝑐1	𝑐1	NOUN
fuelectenerg-11176	50	28	→	→	PUNCT
fuelectenerg-11176	50	29	(	(	PUNCT
fuelectenerg-11176	50	30	𝑥	𝑥	X
fuelectenerg-11176	50	31	→	→	SYM
fuelectenerg-11176	50	32	0	0	NUM
fuelectenerg-11176	50	33	)	)	PUNCT
fuelectenerg-11176	50	34	then	then	ADV
fuelectenerg-11176	50	35	𝑐1	𝑐1	NOUN
fuelectenerg-11176	50	36	→	→	PUNCT
fuelectenerg-11176	50	37	(	(	PUNCT
fuelectenerg-11176	50	38	�	�	NOUN
fuelectenerg-11176	50	39	̅	̅	NOUN
fuelectenerg-11176	50	40	�	�	PROPN
fuelectenerg-11176	50	41	∨	∨	NUM
fuelectenerg-11176	50	42	0	0	NUM
fuelectenerg-11176	50	43	)	)	PUNCT
fuelectenerg-11176	50	44	=	=	NOUN
fuelectenerg-11176	51	1	𝑐1	𝑐1	NOUN
fuelectenerg-11176	51	2	→	→	PUNCT
fuelectenerg-11176	51	3	(	(	PUNCT
fuelectenerg-11176	51	4	�	�	NOUN
fuelectenerg-11176	51	5	̅	̅	NOUN
fuelectenerg-11176	51	6	�	�	NOUN
fuelectenerg-11176	51	7	)	)	PUNCT
fuelectenerg-11176	51	8	=	=	SYM
fuelectenerg-11176	51	9	�	�	PROPN
fuelectenerg-11176	51	10	̅	̅	NOUN
fuelectenerg-11176	51	11	�	�	NOUN
fuelectenerg-11176	51	12	1	1	NUM
fuelectenerg-11176	51	13	∨	∨	NUM
fuelectenerg-11176	51	14	�	�	PROPN
fuelectenerg-11176	51	15	̅	̅	NOUN
fuelectenerg-11176	51	16	�	�	PROPN
fuelectenerg-11176	51	17	=	=	SYM
fuelectenerg-11176	51	18	𝑐1𝑥̅̅	𝑐1𝑥̅̅	PUNCT
fuelectenerg-11176	51	19	̅̅	̅̅	PROPN
fuelectenerg-11176	51	20	=	=	SYM
fuelectenerg-11176	51	21	nand(𝑐1	nand(𝑐1	NOUN
fuelectenerg-11176	51	22	,	,	PUNCT
fuelectenerg-11176	51	23	𝑥	𝑥	NOUN
fuelectenerg-11176	51	24	)	)	PUNCT
fuelectenerg-11176	51	25	.	.	PUNCT
fuelectenerg-11176	52	1	since	since	SCONJ
fuelectenerg-11176	52	2	nand	nand	NOUN
fuelectenerg-11176	52	3	is	be	AUX
fuelectenerg-11176	52	4	functionally	functionally	ADV
fuelectenerg-11176	52	5	complete	complete	ADJ
fuelectenerg-11176	52	6	,	,	PUNCT
fuelectenerg-11176	52	7	so	so	ADV
fuelectenerg-11176	52	8	is	be	AUX
fuelectenerg-11176	52	9	also	also	ADV
fuelectenerg-11176	52	10	fredkin	fredkin	ADV
fuelectenerg-11176	52	11	complete	complete	ADJ
fuelectenerg-11176	52	12	.	.	PUNCT
fuelectenerg-11176	53	1	a	a	DET
fuelectenerg-11176	53	2	different	different	ADJ
fuelectenerg-11176	53	3	formal	formal	ADJ
fuelectenerg-11176	53	4	representation	representation	NOUN
fuelectenerg-11176	53	5	of	of	ADP
fuelectenerg-11176	53	6	the	the	DET
fuelectenerg-11176	53	7	fredkin	fredkin	NOUN
fuelectenerg-11176	53	8	gate	gate	NOUN
fuelectenerg-11176	53	9	,	,	PUNCT
fuelectenerg-11176	53	10	appropriate	appropriate	ADJ
fuelectenerg-11176	53	11	to	to	PART
fuelectenerg-11176	53	12	determine	determine	VERB
fuelectenerg-11176	53	13	e.g.	e.g.	ADV
fuelectenerg-11176	53	14	the	the	DET
fuelectenerg-11176	53	15	performance	performance	NOUN
fuelectenerg-11176	53	16	of	of	ADP
fuelectenerg-11176	53	17	(	(	PUNCT
fuelectenerg-11176	53	18	simulated	simulated	ADJ
fuelectenerg-11176	53	19	)	)	PUNCT
fuelectenerg-11176	53	20	circuits	circuit	NOUN
fuelectenerg-11176	53	21	[	[	X
fuelectenerg-11176	53	22	28	28	NUM
fuelectenerg-11176	53	23	]	]	PUNCT
fuelectenerg-11176	53	24	,	,	PUNCT
fuelectenerg-11176	53	25	is	be	AUX
fuelectenerg-11176	53	26	that	that	PRON
fuelectenerg-11176	53	27	of	of	ADP
fuelectenerg-11176	53	28	a	a	DET
fuelectenerg-11176	53	29	transfer	transfer	NOUN
fuelectenerg-11176	53	30	matrix	matrix	NOUN
fuelectenerg-11176	53	31	.	.	PUNCT
fuelectenerg-11176	54	1	c1	c1	PROPN
fuelectenerg-11176	54	2	c2	c2	PROPN
fuelectenerg-11176	54	3	c3	c3	PROPN
fuelectenerg-11176	54	4	c1’c2’c3	c1’c2’c3	PROPN
fuelectenerg-11176	54	5	’	'	PUNCT
fuelectenerg-11176	54	6	[	[	PUNCT
fuelectenerg-11176	54	7	1	1	NUM
fuelectenerg-11176	54	8	0	0	NUM
fuelectenerg-11176	54	9	0	0	NUM
fuelectenerg-11176	54	10	1	1	NUM
fuelectenerg-11176	54	11	0	0	NUM
fuelectenerg-11176	54	12	0	0	NUM
fuelectenerg-11176	54	13	0	0	NUM
fuelectenerg-11176	54	14	0	0	NUM
fuelectenerg-11176	54	15	0	0	NUM
fuelectenerg-11176	54	16	0	0	NUM
fuelectenerg-11176	54	17	0	0	NUM
fuelectenerg-11176	54	18	0	0	NUM
fuelectenerg-11176	54	19	1	1	NUM
fuelectenerg-11176	54	20	0	0	NUM
fuelectenerg-11176	54	21	0	0	NUM
fuelectenerg-11176	54	22	1	1	NUM
fuelectenerg-11176	54	23	0	0	NUM
fuelectenerg-11176	54	24	0	0	NUM
fuelectenerg-11176	54	25	0	0	NUM
fuelectenerg-11176	54	26	0	0	NUM
fuelectenerg-11176	54	27	0	0	NUM
fuelectenerg-11176	54	28	0	0	NUM
fuelectenerg-11176	54	29	0	0	NUM
fuelectenerg-11176	54	30	0	0	NUM
fuelectenerg-11176	54	31	0	0	NUM
fuelectenerg-11176	54	32	0	0	NUM
fuelectenerg-11176	54	33	0	0	NUM
fuelectenerg-11176	54	34	0	0	NUM
fuelectenerg-11176	54	35	0	0	NUM
fuelectenerg-11176	54	36	0	0	NUM
fuelectenerg-11176	54	37	0	0	NUM
fuelectenerg-11176	54	38	0	0	NUM
fuelectenerg-11176	54	39	0	0	NUM
fuelectenerg-11176	54	40	0	0	NUM
fuelectenerg-11176	54	41	0	0	NUM
fuelectenerg-11176	54	42	0	0	NUM
fuelectenerg-11176	54	43	0	0	NUM
fuelectenerg-11176	54	44	0	0	NUM
fuelectenerg-11176	54	45	0	0	NUM
fuelectenerg-11176	54	46	0	0	NUM
fuelectenerg-11176	54	47	0	0	NUM
fuelectenerg-11176	54	48	0	0	NUM
fuelectenerg-11176	54	49	0	0	NUM
fuelectenerg-11176	54	50	0	0	NUM
fuelectenerg-11176	54	51	0	0	NUM
fuelectenerg-11176	54	52	0	0	NUM
fuelectenerg-11176	54	53	0	0	NUM
fuelectenerg-11176	54	54	0	0	NUM
fuelectenerg-11176	54	55	1	1	NUM
fuelectenerg-11176	54	56	0	0	NUM
fuelectenerg-11176	54	57	0	0	NUM
fuelectenerg-11176	54	58	0	0	NUM
fuelectenerg-11176	54	59	0	0	NUM
fuelectenerg-11176	54	60	0	0	NUM
fuelectenerg-11176	54	61	1	1	NUM
fuelectenerg-11176	54	62	0	0	NUM
fuelectenerg-11176	54	63	0	0	NUM
fuelectenerg-11176	54	64	1	1	NUM
fuelectenerg-11176	54	65	0	0	NUM
fuelectenerg-11176	54	66	0	0	NUM
fuelectenerg-11176	54	67	0	0	NUM
fuelectenerg-11176	54	68	0	0	NUM
fuelectenerg-11176	54	69	0	0	NUM
fuelectenerg-11176	54	70	1	1	NUM
fuelectenerg-11176	54	71	]	]	PUNCT
fuelectenerg-11176	54	72	∙	∙	PROPN
fuelectenerg-11176	54	73	[	[	PUNCT
fuelectenerg-11176	54	74	0	0	NUM
fuelectenerg-11176	54	75	0	0	NUM
fuelectenerg-11176	54	76	0	0	NUM
fuelectenerg-11176	54	77	0	0	NUM
fuelectenerg-11176	54	78	0	0	NUM
fuelectenerg-11176	54	79	1	1	NUM
fuelectenerg-11176	54	80	0	0	NUM
fuelectenerg-11176	54	81	1	1	NUM
fuelectenerg-11176	54	82	0	0	NUM
fuelectenerg-11176	54	83	0	0	NUM
fuelectenerg-11176	54	84	1	1	NUM
fuelectenerg-11176	54	85	1	1	NUM
fuelectenerg-11176	54	86	1	1	NUM
fuelectenerg-11176	54	87	0	0	NUM
fuelectenerg-11176	54	88	0	0	NUM
fuelectenerg-11176	54	89	1	1	NUM
fuelectenerg-11176	54	90	0	0	NUM
fuelectenerg-11176	54	91	1	1	NUM
fuelectenerg-11176	54	92	1	1	NUM
fuelectenerg-11176	54	93	1	1	NUM
fuelectenerg-11176	54	94	1	1	NUM
fuelectenerg-11176	54	95	1	1	NUM
fuelectenerg-11176	54	96	0	0	NUM
fuelectenerg-11176	54	97	1	1	NUM
fuelectenerg-11176	54	98	]	]	PUNCT
fuelectenerg-11176	54	99	=	=	PUNCT
fuelectenerg-11176	55	1	[	[	PUNCT
fuelectenerg-11176	55	2	0	0	NUM
fuelectenerg-11176	55	3	0	0	NUM
fuelectenerg-11176	55	4	0	0	NUM
fuelectenerg-11176	55	5	0	0	NUM
fuelectenerg-11176	55	6	0	0	NUM
fuelectenerg-11176	55	7	1	1	NUM
fuelectenerg-11176	55	8	0	0	NUM
fuelectenerg-11176	55	9	1	1	NUM
fuelectenerg-11176	55	10	0	0	NUM
fuelectenerg-11176	55	11	0	0	NUM
fuelectenerg-11176	55	12	1	1	NUM
fuelectenerg-11176	55	13	1	1	NUM
fuelectenerg-11176	55	14	1	1	NUM
fuelectenerg-11176	55	15	0	0	NUM
fuelectenerg-11176	55	16	0	0	NUM
fuelectenerg-11176	55	17	1	1	NUM
fuelectenerg-11176	55	18	1	1	NUM
fuelectenerg-11176	55	19	0	0	NUM
fuelectenerg-11176	55	20	1	1	NUM
fuelectenerg-11176	55	21	1	1	NUM
fuelectenerg-11176	55	22	0	0	NUM
fuelectenerg-11176	55	23	1	1	NUM
fuelectenerg-11176	55	24	1	1	NUM
fuelectenerg-11176	55	25	1	1	NUM
fuelectenerg-11176	55	26	]	]	PUNCT
fuelectenerg-11176	55	27	.	.	PUNCT
fuelectenerg-11176	56	1	(	(	PUNCT
fuelectenerg-11176	56	2	2	2	X
fuelectenerg-11176	56	3	)	)	PUNCT
fuelectenerg-11176	56	4	equation	equation	NOUN
fuelectenerg-11176	56	5	(	(	PUNCT
fuelectenerg-11176	56	6	2	2	X
fuelectenerg-11176	56	7	)	)	PUNCT
fuelectenerg-11176	56	8	shows	show	VERB
fuelectenerg-11176	56	9	a	a	DET
fuelectenerg-11176	56	10	fredkin	fredkin	NOUN
fuelectenerg-11176	56	11	-	-	PUNCT
fuelectenerg-11176	56	12	matrix	matrix	NOUN
fuelectenerg-11176	56	13	as	as	ADP
fuelectenerg-11176	56	14	a	a	DET
fuelectenerg-11176	56	15	blockdiag(i4	blockdiag(i4	NOUN
fuelectenerg-11176	56	16	,	,	PUNCT
fuelectenerg-11176	56	17	swap	swap	NOUN
fuelectenerg-11176	56	18	)	)	PUNCT
fuelectenerg-11176	56	19	,	,	PUNCT
fuelectenerg-11176	56	20	where	where	SCONJ
fuelectenerg-11176	56	21	i4	i4	PROPN
fuelectenerg-11176	56	22	denotes	denote	VERB
fuelectenerg-11176	56	23	the	the	DET
fuelectenerg-11176	56	24	4⨯4	4⨯4	NUM
fuelectenerg-11176	56	25	identity	identity	NOUN
fuelectenerg-11176	56	26	matrix	matrix	NOUN
fuelectenerg-11176	56	27	.	.	PUNCT
fuelectenerg-11176	57	1	it	it	PRON
fuelectenerg-11176	57	2	becomes	become	VERB
fuelectenerg-11176	57	3	clear	clear	ADJ
fuelectenerg-11176	57	4	that	that	SCONJ
fuelectenerg-11176	57	5	the	the	DET
fuelectenerg-11176	57	6	product	product	NOUN
fuelectenerg-11176	57	7	of	of	ADP
fuelectenerg-11176	57	8	the	the	DET
fuelectenerg-11176	57	9	fredkin	fredkin	NOUN
fuelectenerg-11176	57	10	-	-	PUNCT
fuelectenerg-11176	57	11	matrix	matrix	NOUN
fuelectenerg-11176	57	12	with	with	ADP
fuelectenerg-11176	57	13	a	a	DET
fuelectenerg-11176	57	14	matrix	matrix	NOUN
fuelectenerg-11176	57	15	of	of	ADP
fuelectenerg-11176	57	16	all	all	DET
fuelectenerg-11176	57	17	possible	possible	ADJ
fuelectenerg-11176	57	18	inputs	input	NOUN
fuelectenerg-11176	57	19	preserves	preserve	NOUN
fuelectenerg-11176	57	20	c1	c1	PROPN
fuelectenerg-11176	57	21	,	,	PUNCT
fuelectenerg-11176	57	22	c2	c2	PROPN
fuelectenerg-11176	57	23	and	and	CCONJ
fuelectenerg-11176	57	24	c3	c3	PROPN
fuelectenerg-11176	57	25	when	when	SCONJ
fuelectenerg-11176	57	26	c1	c1	PROPN
fuelectenerg-11176	57	27	=	=	PROPN
fuelectenerg-11176	57	28	0	0	PROPN
fuelectenerg-11176	57	29	,	,	PUNCT
fuelectenerg-11176	57	30	since	since	SCONJ
fuelectenerg-11176	57	31	the	the	DET
fuelectenerg-11176	57	32	i4	i4	PROPN
fuelectenerg-11176	57	33	submatrix	submatrix	NOUN
fuelectenerg-11176	57	34	is	be	AUX
fuelectenerg-11176	57	35	active	active	ADJ
fuelectenerg-11176	57	36	and	and	CCONJ
fuelectenerg-11176	57	37	c1’c2’c3	c1’c2’c3	NOUN
fuelectenerg-11176	57	38	’	'	PUNCT
fuelectenerg-11176	57	39	=	=	SYM
fuelectenerg-11176	57	40	c1	c1	PROPN
fuelectenerg-11176	57	41	c3	c3	PROPN
fuelectenerg-11176	57	42	c2	c2	PROPN
fuelectenerg-11176	57	43	when	when	SCONJ
fuelectenerg-11176	57	44	c1	c1	PROPN
fuelectenerg-11176	57	45	=	=	PROPN
fuelectenerg-11176	57	46	1	1	NUM
fuelectenerg-11176	57	47	,	,	PUNCT
fuelectenerg-11176	57	48	since	since	SCONJ
fuelectenerg-11176	57	49	then	then	ADV
fuelectenerg-11176	57	50	the	the	DET
fuelectenerg-11176	57	51	swap	swap	NOUN
fuelectenerg-11176	57	52	submatrix	submatrix	NOUN
fuelectenerg-11176	57	53	is	be	AUX
fuelectenerg-11176	57	54	active	active	ADJ
fuelectenerg-11176	57	55	.	.	PUNCT
fuelectenerg-11176	58	1	if	if	SCONJ
fuelectenerg-11176	58	2	a	a	DET
fuelectenerg-11176	58	3	white	white	ADJ
fuelectenerg-11176	58	4	dot	dot	NOUN
fuelectenerg-11176	58	5	is	be	AUX
fuelectenerg-11176	58	6	placed	place	VERB
fuelectenerg-11176	58	7	on	on	ADP
fuelectenerg-11176	58	8	the	the	DET
fuelectenerg-11176	58	9	c1	c1	PROPN
fuelectenerg-11176	58	10	line	line	NOUN
fuelectenerg-11176	58	11	of	of	ADP
fuelectenerg-11176	58	12	the	the	DET
fuelectenerg-11176	58	13	original	original	ADJ
fuelectenerg-11176	58	14	fredkin	fredkin	NOUN
fuelectenerg-11176	58	15	gate	gate	NOUN
fuelectenerg-11176	58	16	,	,	PUNCT
fuelectenerg-11176	58	17	it	it	PRON
fuelectenerg-11176	58	18	is	be	AUX
fuelectenerg-11176	58	19	fairly	fairly	ADV
fuelectenerg-11176	58	20	obvious	obvious	ADJ
fuelectenerg-11176	58	21	,	,	PUNCT
fuelectenerg-11176	58	22	that	that	SCONJ
fuelectenerg-11176	58	23	this	this	PRON
fuelectenerg-11176	58	24	will	will	AUX
fuelectenerg-11176	58	25	change	change	VERB
fuelectenerg-11176	58	26	the	the	DET
fuelectenerg-11176	58	27	polarity	polarity	NOUN
fuelectenerg-11176	58	28	of	of	ADP
fuelectenerg-11176	58	29	the	the	DET
fuelectenerg-11176	58	30	control	control	NOUN
fuelectenerg-11176	58	31	.	.	PUNCT
fuelectenerg-11176	59	1	the	the	DET
fuelectenerg-11176	59	2	gate	gate	NOUN
fuelectenerg-11176	59	3	will	will	AUX
fuelectenerg-11176	59	4	become	become	VERB
fuelectenerg-11176	59	5	active	active	ADJ
fuelectenerg-11176	59	6	when	when	SCONJ
fuelectenerg-11176	59	7	c1	c1	PROPN
fuelectenerg-11176	59	8	=	=	PROPN
fuelectenerg-11176	59	9	0	0	PUNCT
fuelectenerg-11176	60	1	and	and	CCONJ
fuelectenerg-11176	60	2	it	it	PRON
fuelectenerg-11176	60	3	will	will	AUX
fuelectenerg-11176	60	4	remain	remain	VERB
fuelectenerg-11176	60	5	inhibited	inhibited	ADJ
fuelectenerg-11176	60	6	,	,	PUNCT
fuelectenerg-11176	60	7	behaving	behave	VERB
fuelectenerg-11176	60	8	as	as	ADP
fuelectenerg-11176	60	9	an	an	DET
fuelectenerg-11176	60	10	identity	identity	NOUN
fuelectenerg-11176	60	11	,	,	PUNCT
fuelectenerg-11176	60	12	when	when	SCONJ
fuelectenerg-11176	60	13	c1	c1	PROPN
fuelectenerg-11176	60	14	=	=	PROPN
fuelectenerg-11176	60	15	1	1	X
fuelectenerg-11176	60	16	.	.	PUNCT
fuelectenerg-11176	61	1	the	the	DET
fuelectenerg-11176	61	2	circuit	circuit	NOUN
fuelectenerg-11176	61	3	and	and	CCONJ
fuelectenerg-11176	61	4	the	the	DET
fuelectenerg-11176	61	5	quantum	quantum	ADJ
fuelectenerg-11176	61	6	model	model	NOUN
fuelectenerg-11176	61	7	of	of	ADP
fuelectenerg-11176	61	8	a	a	DET
fuelectenerg-11176	61	9	fredkin	fredkin	NOUN
fuelectenerg-11176	61	10	gate	gate	NOUN
fuelectenerg-11176	61	11	,	,	PUNCT
fuelectenerg-11176	61	12	which	which	PRON
fuelectenerg-11176	61	13	is	be	AUX
fuelectenerg-11176	61	14	active	active	ADJ
fuelectenerg-11176	61	15	when	when	SCONJ
fuelectenerg-11176	61	16	the	the	DET
fuelectenerg-11176	61	17	control	control	PROPN
fuelectenerg-11176	61	18	signal	signal	PROPN
fuelectenerg-11176	61	19	c1	c1	PROPN
fuelectenerg-11176	61	20	has	have	VERB
fuelectenerg-11176	61	21	the	the	DET
fuelectenerg-11176	61	22	value	value	NOUN
fuelectenerg-11176	61	23	0	0	NUM
fuelectenerg-11176	61	24	is	be	AUX
fuelectenerg-11176	61	25	shown	show	VERB
fuelectenerg-11176	61	26	in	in	ADP
fuelectenerg-11176	61	27	fig	fig	NOUN
fuelectenerg-11176	61	28	.	.	PUNCT
fuelectenerg-11176	62	1	3	3	NUM
fuelectenerg-11176	62	2	,	,	PUNCT
fuelectenerg-11176	62	3	where	where	SCONJ
fuelectenerg-11176	62	4	the	the	DET
fuelectenerg-11176	62	5	quantum	quantum	NOUN
fuelectenerg-11176	62	6	model	model	NOUN
fuelectenerg-11176	62	7	uses	use	VERB
fuelectenerg-11176	62	8	the	the	DET
fuelectenerg-11176	62	9	same	same	ADJ
fuelectenerg-11176	62	10	twoqubit	twoqubit	NOUN
fuelectenerg-11176	62	11	-	-	PUNCT
fuelectenerg-11176	62	12	gates	gate	NOUN
fuelectenerg-11176	62	13	as	as	ADP
fuelectenerg-11176	62	14	in	in	ADP
fuelectenerg-11176	62	15	fig	fig	NOUN
fuelectenerg-11176	62	16	.	.	PUNCT
fuelectenerg-11176	63	1	2	2	NUM
fuelectenerg-11176	63	2	,	,	PUNCT
fuelectenerg-11176	63	3	but	but	CCONJ
fuelectenerg-11176	63	4	in	in	ADP
fuelectenerg-11176	63	5	a	a	DET
fuelectenerg-11176	63	6	different	different	ADJ
fuelectenerg-11176	63	7	order	order	NOUN
fuelectenerg-11176	63	8	.	.	PUNCT
fuelectenerg-11176	64	1	=	=	NOUN
fuelectenerg-11176	64	2	256	256	NUM
fuelectenerg-11176	64	3	c.	c.	PROPN
fuelectenerg-11176	64	4	moraga	moraga	PROPN
fuelectenerg-11176	64	5	,	,	PUNCT
fuelectenerg-11176	64	6	f.	f.	PROPN
fuelectenerg-11176	64	7	z.	z.	PROPN
fuelectenerg-11176	64	8	hadjam	hadjam	PROPN
fuelectenerg-11176	64	9	fig	fig	PROPN
fuelectenerg-11176	64	10	.	.	PUNCT
fuelectenerg-11176	65	1	3	3	NUM
fuelectenerg-11176	65	2	a	a	DET
fuelectenerg-11176	65	3	fredkin	fredkin	NOUN
fuelectenerg-11176	65	4	gate	gate	NOUN
fuelectenerg-11176	65	5	with	with	ADP
fuelectenerg-11176	65	6	negative	negative	ADJ
fuelectenerg-11176	65	7	control	control	NOUN
fuelectenerg-11176	65	8	and	and	CCONJ
fuelectenerg-11176	65	9	its	its	PRON
fuelectenerg-11176	65	10	quantum	quantum	NOUN
fuelectenerg-11176	65	11	model	model	NOUN
fuelectenerg-11176	65	12	since	since	SCONJ
fuelectenerg-11176	65	13	the	the	DET
fuelectenerg-11176	65	14	quantum	quantum	ADJ
fuelectenerg-11176	65	15	cost	cost	NOUN
fuelectenerg-11176	65	16	of	of	ADP
fuelectenerg-11176	65	17	a	a	DET
fuelectenerg-11176	65	18	reversible	reversible	ADJ
fuelectenerg-11176	65	19	gate	gate	NOUN
fuelectenerg-11176	65	20	is	be	AUX
fuelectenerg-11176	65	21	obtained	obtain	VERB
fuelectenerg-11176	65	22	as	as	ADP
fuelectenerg-11176	65	23	the	the	DET
fuelectenerg-11176	65	24	gate	gate	NOUN
fuelectenerg-11176	65	25	count	count	NOUN
fuelectenerg-11176	65	26	of	of	ADP
fuelectenerg-11176	65	27	the	the	DET
fuelectenerg-11176	65	28	barenco	barenco	NOUN
fuelectenerg-11176	65	29	et	et	PROPN
fuelectenerg-11176	65	30	al	al	PROPN
fuelectenerg-11176	65	31	.	.	PUNCT
fuelectenerg-11176	65	32	quantum	quantum	PROPN
fuelectenerg-11176	65	33	model	model	NOUN
fuelectenerg-11176	65	34	of	of	ADP
fuelectenerg-11176	65	35	the	the	DET
fuelectenerg-11176	65	36	gate	gate	NOUN
fuelectenerg-11176	66	1	[	[	X
fuelectenerg-11176	66	2	22	22	NUM
fuelectenerg-11176	66	3	]	]	PUNCT
fuelectenerg-11176	66	4	,	,	PUNCT
fuelectenerg-11176	66	5	[	[	X
fuelectenerg-11176	66	6	27	27	NUM
fuelectenerg-11176	66	7	]	]	PUNCT
fuelectenerg-11176	66	8	,	,	PUNCT
fuelectenerg-11176	66	9	it	it	PRON
fuelectenerg-11176	66	10	becomes	become	VERB
fuelectenerg-11176	66	11	apparent	apparent	ADJ
fuelectenerg-11176	66	12	that	that	SCONJ
fuelectenerg-11176	66	13	fredkin	fredkin	NOUN
fuelectenerg-11176	66	14	gates	gate	NOUN
fuelectenerg-11176	66	15	with	with	ADP
fuelectenerg-11176	66	16	positive	positive	ADJ
fuelectenerg-11176	66	17	or	or	CCONJ
fuelectenerg-11176	66	18	negative	negative	ADJ
fuelectenerg-11176	66	19	control	control	NOUN
fuelectenerg-11176	66	20	have	have	VERB
fuelectenerg-11176	66	21	the	the	DET
fuelectenerg-11176	66	22	same	same	ADJ
fuelectenerg-11176	66	23	quantum	quantum	ADJ
fuelectenerg-11176	66	24	cost	cost	NOUN
fuelectenerg-11176	66	25	of	of	ADP
fuelectenerg-11176	66	26	7	7	NUM
fuelectenerg-11176	66	27	.	.	PUNCT
fuelectenerg-11176	67	1	a	a	DET
fuelectenerg-11176	67	2	set	set	NOUN
fuelectenerg-11176	67	3	of	of	ADP
fuelectenerg-11176	67	4	new	new	ADJ
fuelectenerg-11176	67	5	behaviors	behavior	NOUN
fuelectenerg-11176	67	6	is	be	AUX
fuelectenerg-11176	67	7	obtained	obtain	VERB
fuelectenerg-11176	67	8	if	if	SCONJ
fuelectenerg-11176	67	9	white	white	ADJ
fuelectenerg-11176	67	10	dots	dot	NOUN
fuelectenerg-11176	67	11	are	be	AUX
fuelectenerg-11176	67	12	introduced	introduce	VERB
fuelectenerg-11176	67	13	in	in	ADP
fuelectenerg-11176	67	14	the	the	DET
fuelectenerg-11176	67	15	lines	line	NOUN
fuelectenerg-11176	67	16	c2	c2	PROPN
fuelectenerg-11176	67	17	or	or	CCONJ
fuelectenerg-11176	67	18	c3	c3	PROPN
fuelectenerg-11176	67	19	,	,	PUNCT
fuelectenerg-11176	67	20	indicating	indicate	VERB
fuelectenerg-11176	67	21	that	that	SCONJ
fuelectenerg-11176	67	22	a	a	DET
fuelectenerg-11176	67	23	signal	signal	NOUN
fuelectenerg-11176	67	24	is	be	AUX
fuelectenerg-11176	67	25	effective	effective	ADJ
fuelectenerg-11176	67	26	if	if	SCONJ
fuelectenerg-11176	67	27	it	it	PRON
fuelectenerg-11176	67	28	has	have	VERB
fuelectenerg-11176	67	29	the	the	DET
fuelectenerg-11176	67	30	value	value	NOUN
fuelectenerg-11176	67	31	0	0	NUM
fuelectenerg-11176	67	32	.	.	PUNCT
fuelectenerg-11176	68	1	a	a	DET
fuelectenerg-11176	68	2	first	first	ADJ
fuelectenerg-11176	68	3	pair	pair	NOUN
fuelectenerg-11176	68	4	of	of	ADP
fuelectenerg-11176	68	5	equivalent	equivalent	ADJ
fuelectenerg-11176	68	6	variations	variation	NOUN
fuelectenerg-11176	68	7	is	be	AUX
fuelectenerg-11176	68	8	shown	show	VERB
fuelectenerg-11176	68	9	in	in	ADP
fuelectenerg-11176	68	10	fig	fig	NOUN
fuelectenerg-11176	68	11	.	.	PUNCT
fuelectenerg-11176	69	1	4	4	X
fuelectenerg-11176	69	2	.	.	X
fuelectenerg-11176	69	3	fig	fig	NOUN
fuelectenerg-11176	69	4	.	.	PUNCT
fuelectenerg-11176	70	1	4	4	NUM
fuelectenerg-11176	70	2	fredkin	fredkin	NOUN
fuelectenerg-11176	70	3	gate	gate	NOUN
fuelectenerg-11176	70	4	equivalent	equivalent	ADJ
fuelectenerg-11176	70	5	variations	variation	NOUN
fuelectenerg-11176	70	6	the	the	DET
fuelectenerg-11176	70	7	functionality	functionality	NOUN
fuelectenerg-11176	70	8	of	of	ADP
fuelectenerg-11176	70	9	the	the	DET
fuelectenerg-11176	70	10	building	building	NOUN
fuelectenerg-11176	70	11	block	block	NOUN
fuelectenerg-11176	70	12	at	at	ADP
fuelectenerg-11176	70	13	the	the	DET
fuelectenerg-11176	70	14	left	left	NOUN
fuelectenerg-11176	70	15	of	of	ADP
fuelectenerg-11176	70	16	fig	fig	NOUN
fuelectenerg-11176	70	17	.	.	PUNCT
fuelectenerg-11176	71	1	4	4	NUM
fuelectenerg-11176	71	2	is	be	AUX
fuelectenerg-11176	71	3	given	give	VERB
fuelectenerg-11176	71	4	by	by	ADP
fuelectenerg-11176	71	5	:	:	PUNCT
fuelectenerg-11176	71	6	𝑐3	𝑐3	NOUN
fuelectenerg-11176	71	7	′	′	NUM
fuelectenerg-11176	72	1	=	=	PUNCT
fuelectenerg-11176	73	1	𝑐3	𝑐3	NOUN
fuelectenerg-11176	73	2	⊕	⊕	PROPN
fuelectenerg-11176	73	3	𝑐1(𝑐3̅	𝑐1(𝑐3̅	PROPN
fuelectenerg-11176	73	4	⊕	⊕	PROPN
fuelectenerg-11176	73	5	𝑐2	𝑐2	PROPN
fuelectenerg-11176	73	6	)	)	PUNCT
fuelectenerg-11176	74	1	=	=	SYM
fuelectenerg-11176	74	2	𝑐3	𝑐3	PROPN
fuelectenerg-11176	74	3	⊕	⊕	PROPN
fuelectenerg-11176	74	4	𝑐1𝑐3̅	𝑐1𝑐3̅	PUNCT
fuelectenerg-11176	74	5	⊕	⊕	X
fuelectenerg-11176	75	1	𝑐1𝑐2	𝑐1𝑐2	NOUN
fuelectenerg-11176	75	2	=	=	SYM
fuelectenerg-11176	75	3	1	1	NUM
fuelectenerg-11176	75	4	⊕	⊕	NUM
fuelectenerg-11176	75	5	𝑐3̅	𝑐3̅	NOUN
fuelectenerg-11176	75	6	⊕	⊕	PROPN
fuelectenerg-11176	75	7	𝑐1𝑐3̅	𝑐1𝑐3̅	PUNCT
fuelectenerg-11176	76	1	⊕	⊕	X
fuelectenerg-11176	77	1	𝑐1𝑐2	𝑐1𝑐2	NOUN
fuelectenerg-11176	77	2	=	=	SYM
fuelectenerg-11176	77	3	=	=	SYM
fuelectenerg-11176	77	4	1	1	NUM
fuelectenerg-11176	77	5	⊕	⊕	PROPN
fuelectenerg-11176	77	6	𝑐1̅𝑐3̅	𝑐1̅𝑐3̅	NOUN
fuelectenerg-11176	77	7	⊕	⊕	PROPN
fuelectenerg-11176	77	8	𝑐1𝑐2	𝑐1𝑐2	PROPN
fuelectenerg-11176	77	9	,	,	PUNCT
fuelectenerg-11176	77	10	(	(	PUNCT
fuelectenerg-11176	77	11	3	3	X
fuelectenerg-11176	77	12	)	)	PUNCT
fuelectenerg-11176	77	13	𝑐2	𝑐2	NOUN
fuelectenerg-11176	77	14	′	′	NUM
fuelectenerg-11176	77	15	=	=	PUNCT
fuelectenerg-11176	77	16	(	(	PUNCT
fuelectenerg-11176	77	17	𝑐3	𝑐3	NOUN
fuelectenerg-11176	77	18	⊕	⊕	PROPN
fuelectenerg-11176	77	19	𝑐2	𝑐2	NOUN
fuelectenerg-11176	77	20	)	)	PUNCT
fuelectenerg-11176	77	21	⊕	⊕	PROPN
fuelectenerg-11176	77	22	𝑐3	𝑐3	VERB
fuelectenerg-11176	77	23	′	′	NOUN
fuelectenerg-11176	77	24	=	=	SYM
fuelectenerg-11176	77	25	1	1	NUM
fuelectenerg-11176	77	26	⊕	⊕	PROPN
fuelectenerg-11176	77	27	𝑐3	𝑐3	NOUN
fuelectenerg-11176	77	28	⊕	⊕	PROPN
fuelectenerg-11176	77	29	𝑐1̅𝑐3̅	𝑐1̅𝑐3̅	PROPN
fuelectenerg-11176	77	30	⊕	⊕	PROPN
fuelectenerg-11176	77	31	𝑐2	𝑐2	PROPN
fuelectenerg-11176	77	32	⊕	⊕	PROPN
fuelectenerg-11176	77	33	𝑐1𝑐2	𝑐1𝑐2	X
fuelectenerg-11176	77	34	=	=	X
fuelectenerg-11176	77	35	𝑐1̅𝑐2	𝑐1̅𝑐2	PROPN
fuelectenerg-11176	77	36	⊕	⊕	PROPN
fuelectenerg-11176	77	37	𝑐1𝑐3̅	𝑐1𝑐3̅	PROPN
fuelectenerg-11176	77	38	,	,	PUNCT
fuelectenerg-11176	77	39	𝑐1	𝑐1	NOUN
fuelectenerg-11176	77	40	′	′	NUM
fuelectenerg-11176	77	41	=	=	PUNCT
fuelectenerg-11176	78	1	𝑐1	𝑐1	NOUN
fuelectenerg-11176	78	2	.	.	PUNCT
fuelectenerg-11176	79	1	equations	equation	NOUN
fuelectenerg-11176	79	2	(	(	PUNCT
fuelectenerg-11176	79	3	3	3	X
fuelectenerg-11176	79	4	)	)	PUNCT
fuelectenerg-11176	79	5	may	may	AUX
fuelectenerg-11176	79	6	be	be	AUX
fuelectenerg-11176	79	7	summarized	summarize	VERB
fuelectenerg-11176	79	8	as	as	SCONJ
fuelectenerg-11176	79	9	follows	follow	VERB
fuelectenerg-11176	79	10	:	:	PUNCT
fuelectenerg-11176	79	11	in	in	ADP
fuelectenerg-11176	79	12	words	word	NOUN
fuelectenerg-11176	79	13	:	:	PUNCT
fuelectenerg-11176	79	14	if	if	SCONJ
fuelectenerg-11176	79	15	c1	c1	PROPN
fuelectenerg-11176	79	16	=	=	PROPN
fuelectenerg-11176	79	17	0	0	PROPN
fuelectenerg-11176	80	1	the	the	DET
fuelectenerg-11176	80	2	building	building	NOUN
fuelectenerg-11176	80	3	block	block	NOUN
fuelectenerg-11176	80	4	behaves	behave	VERB
fuelectenerg-11176	80	5	as	as	ADP
fuelectenerg-11176	80	6	an	an	DET
fuelectenerg-11176	80	7	identity	identity	NOUN
fuelectenerg-11176	80	8	and	and	CCONJ
fuelectenerg-11176	80	9	if	if	SCONJ
fuelectenerg-11176	80	10	c1	c1	PROPN
fuelectenerg-11176	80	11	=	=	PROPN
fuelectenerg-11176	80	12	1	1	NUM
fuelectenerg-11176	80	13	both	both	DET
fuelectenerg-11176	80	14	targets	target	NOUN
fuelectenerg-11176	80	15	will	will	AUX
fuelectenerg-11176	80	16	be	be	AUX
fuelectenerg-11176	80	17	exchanged	exchange	VERB
fuelectenerg-11176	80	18	and	and	CCONJ
fuelectenerg-11176	80	19	complemented	complement	VERB
fuelectenerg-11176	80	20	.	.	PUNCT
fuelectenerg-11176	81	1	it	it	PRON
fuelectenerg-11176	81	2	is	be	AUX
fuelectenerg-11176	81	3	straightforward	straightforward	ADJ
fuelectenerg-11176	81	4	to	to	PART
fuelectenerg-11176	81	5	show	show	VERB
fuelectenerg-11176	81	6	that	that	SCONJ
fuelectenerg-11176	81	7	the	the	DET
fuelectenerg-11176	81	8	gate	gate	NOUN
fuelectenerg-11176	81	9	at	at	ADP
fuelectenerg-11176	81	10	the	the	DET
fuelectenerg-11176	81	11	right	right	NOUN
fuelectenerg-11176	81	12	of	of	ADP
fuelectenerg-11176	81	13	fig	fig	NOUN
fuelectenerg-11176	81	14	.	.	PUNCT
fuelectenerg-11176	82	1	4	4	NUM
fuelectenerg-11176	82	2	has	have	VERB
fuelectenerg-11176	82	3	the	the	DET
fuelectenerg-11176	82	4	same	same	ADJ
fuelectenerg-11176	82	5	functionality	functionality	NOUN
fuelectenerg-11176	82	6	.	.	PUNCT
fuelectenerg-11176	83	1	further	further	ADJ
fuelectenerg-11176	83	2	variations	variation	NOUN
fuelectenerg-11176	83	3	,	,	PUNCT
fuelectenerg-11176	83	4	and	and	CCONJ
fuelectenerg-11176	83	5	eventually	eventually	ADV
fuelectenerg-11176	83	6	their	their	PRON
fuelectenerg-11176	83	7	equivalent	equivalent	ADJ
fuelectenerg-11176	83	8	nct	nct	ADJ
fuelectenerg-11176	83	9	reversible	reversible	ADJ
fuelectenerg-11176	83	10	circuits	circuit	NOUN
fuelectenerg-11176	83	11	are	be	AUX
fuelectenerg-11176	83	12	analyzed	analyze	VERB
fuelectenerg-11176	83	13	below	below	ADV
fuelectenerg-11176	83	14	.	.	PUNCT
fuelectenerg-11176	84	1	fig	fig	NOUN
fuelectenerg-11176	84	2	.	.	PUNCT
fuelectenerg-11176	85	1	5	5	NUM
fuelectenerg-11176	85	2	second	second	ADJ
fuelectenerg-11176	85	3	fredkin	fredkin	NOUN
fuelectenerg-11176	85	4	gate	gate	NOUN
fuelectenerg-11176	85	5	variation	variation	NOUN
fuelectenerg-11176	85	6	v	v	PROPN
fuelectenerg-11176	85	7	v	v	PROPN
fuelectenerg-11176	85	8	c1	c1	PROPN
fuelectenerg-11176	85	9	c2	c2	PROPN
fuelectenerg-11176	85	10	c3	c3	PROPN
fuelectenerg-11176	85	11	c1	c1	PROPN
fuelectenerg-11176	85	12	‘	'	PUNCT
fuelectenerg-11176	85	13	c2	c2	PROPN
fuelectenerg-11176	85	14	‘	'	PUNCT
fuelectenerg-11176	85	15	c3	c3	NOUN
fuelectenerg-11176	85	16	‘	'	PUNCT
fuelectenerg-11176	85	17	the	the	DET
fuelectenerg-11176	85	18	fredkin	fredkin	NOUN
fuelectenerg-11176	85	19	gate	gate	NOUN
fuelectenerg-11176	85	20	in	in	ADP
fuelectenerg-11176	85	21	reversible	reversible	ADJ
fuelectenerg-11176	85	22	and	and	CCONJ
fuelectenerg-11176	85	23	quantum	quantum	ADJ
fuelectenerg-11176	85	24	environments	environment	NOUN
fuelectenerg-11176	85	25	257	257	NUM
fuelectenerg-11176	85	26	the	the	DET
fuelectenerg-11176	85	27	functionality	functionality	NOUN
fuelectenerg-11176	85	28	of	of	ADP
fuelectenerg-11176	85	29	the	the	DET
fuelectenerg-11176	85	30	building	building	NOUN
fuelectenerg-11176	85	31	block	block	NOUN
fuelectenerg-11176	85	32	of	of	ADP
fuelectenerg-11176	85	33	fig	fig	NOUN
fuelectenerg-11176	85	34	.	.	PUNCT
fuelectenerg-11176	86	1	5	5	NUM
fuelectenerg-11176	86	2	is	be	AUX
fuelectenerg-11176	86	3	given	give	VERB
fuelectenerg-11176	86	4	by	by	ADP
fuelectenerg-11176	86	5	:	:	PUNCT
fuelectenerg-11176	86	6	𝑐3	𝑐3	NOUN
fuelectenerg-11176	86	7	′	′	NUM
fuelectenerg-11176	87	1	=	=	PUNCT
fuelectenerg-11176	88	1	𝑐3	𝑐3	NOUN
fuelectenerg-11176	89	1	⊕	⊕	PROPN
fuelectenerg-11176	89	2	𝑐1(𝑐2	𝑐1(𝑐2	ADP
fuelectenerg-11176	89	3	⊕	⊕	PROPN
fuelectenerg-11176	89	4	𝑐3̅	𝑐3̅	NOUN
fuelectenerg-11176	89	5	)	)	PUNCT
fuelectenerg-11176	89	6	=	=	SYM
fuelectenerg-11176	89	7	1	1	NUM
fuelectenerg-11176	89	8	⊕	⊕	NUM
fuelectenerg-11176	89	9	𝑐3̅	𝑐3̅	NOUN
fuelectenerg-11176	89	10	⊕	⊕	PROPN
fuelectenerg-11176	90	1	𝑐1𝑐2	𝑐1𝑐2	PROPN
fuelectenerg-11176	90	2	⊕	⊕	PROPN
fuelectenerg-11176	90	3	𝑐1𝑐3̅	𝑐1𝑐3̅	PUNCT
fuelectenerg-11176	90	4	=	=	PUNCT
fuelectenerg-11176	91	1	𝑐1𝑐2	𝑐1𝑐2	PROPN
fuelectenerg-11176	91	2	⊕	⊕	PROPN
fuelectenerg-11176	91	3	𝑐1̅𝑐3̅	𝑐1̅𝑐3̅	VERB
fuelectenerg-11176	91	4	⊕	⊕	PROPN
fuelectenerg-11176	91	5	1	1	NUM
fuelectenerg-11176	91	6	,	,	PUNCT
fuelectenerg-11176	91	7	𝑐2	𝑐2	NOUN
fuelectenerg-11176	91	8	′	′	NUM
fuelectenerg-11176	92	1	=	=	NOUN
fuelectenerg-11176	92	2	𝑐2	𝑐2	NOUN
fuelectenerg-11176	92	3	⊕	⊕	PROPN
fuelectenerg-11176	92	4	𝑐3̅	𝑐3̅	NOUN
fuelectenerg-11176	92	5	⊕	⊕	PROPN
fuelectenerg-11176	92	6	𝑐3	𝑐3	VERB
fuelectenerg-11176	92	7	′	′	NOUN
fuelectenerg-11176	92	8	=	=	NOUN
fuelectenerg-11176	92	9	𝑐2	𝑐2	NOUN
fuelectenerg-11176	92	10	⊕	⊕	PROPN
fuelectenerg-11176	92	11	𝑐1𝑐2	𝑐1𝑐2	PROPN
fuelectenerg-11176	92	12	⊕	⊕	PROPN
fuelectenerg-11176	92	13	𝑐3̅	𝑐3̅	NOUN
fuelectenerg-11176	92	14	⊕	⊕	PROPN
fuelectenerg-11176	92	15	𝑐1̅𝑐3̅	𝑐1̅𝑐3̅	NOUN
fuelectenerg-11176	92	16	⊕	⊕	NOUN
fuelectenerg-11176	92	17	1	1	NUM
fuelectenerg-11176	92	18	=	=	SYM
fuelectenerg-11176	92	19	𝑐1̅𝑐2	𝑐1̅𝑐2	NOUN
fuelectenerg-11176	92	20	⊕	⊕	PROPN
fuelectenerg-11176	92	21	𝑐1𝑐3̅	𝑐1𝑐3̅	PUNCT
fuelectenerg-11176	92	22	⊕	⊕	PROPN
fuelectenerg-11176	92	23	1	1	NUM
fuelectenerg-11176	92	24	,	,	PUNCT
fuelectenerg-11176	92	25	(	(	PUNCT
fuelectenerg-11176	92	26	4	4	X
fuelectenerg-11176	92	27	)	)	PUNCT
fuelectenerg-11176	92	28	𝑐1	𝑐1	NOUN
fuelectenerg-11176	92	29	′	′	NUM
fuelectenerg-11176	92	30	=	=	PUNCT
fuelectenerg-11176	92	31	𝑐1	𝑐1	NOUN
fuelectenerg-11176	92	32	.	.	PUNCT
fuelectenerg-11176	93	1	equations	equation	NOUN
fuelectenerg-11176	93	2	(	(	PUNCT
fuelectenerg-11176	93	3	4	4	X
fuelectenerg-11176	93	4	)	)	PUNCT
fuelectenerg-11176	93	5	may	may	AUX
fuelectenerg-11176	93	6	be	be	AUX
fuelectenerg-11176	93	7	summarized	summarize	VERB
fuelectenerg-11176	93	8	as	as	SCONJ
fuelectenerg-11176	93	9	follows	follow	VERB
fuelectenerg-11176	93	10	:	:	PUNCT
fuelectenerg-11176	93	11	in	in	ADP
fuelectenerg-11176	93	12	words	word	NOUN
fuelectenerg-11176	93	13	:	:	PUNCT
fuelectenerg-11176	93	14	if	if	SCONJ
fuelectenerg-11176	93	15	c1	c1	PROPN
fuelectenerg-11176	93	16	=	=	PROPN
fuelectenerg-11176	93	17	0	0	PROPN
fuelectenerg-11176	93	18	then	then	ADV
fuelectenerg-11176	93	19	c2	c2	PROPN
fuelectenerg-11176	93	20	will	will	AUX
fuelectenerg-11176	93	21	be	be	AUX
fuelectenerg-11176	93	22	complemented	complement	VERB
fuelectenerg-11176	93	23	and	and	CCONJ
fuelectenerg-11176	93	24	c3	c3	PROPN
fuelectenerg-11176	93	25	will	will	AUX
fuelectenerg-11176	93	26	be	be	AUX
fuelectenerg-11176	93	27	preserved	preserve	VERB
fuelectenerg-11176	93	28	.	.	PUNCT
fuelectenerg-11176	94	1	if	if	SCONJ
fuelectenerg-11176	94	2	c1	c1	PROPN
fuelectenerg-11176	94	3	=	=	NOUN
fuelectenerg-11176	94	4	1	1	NUM
fuelectenerg-11176	94	5	then	then	ADV
fuelectenerg-11176	94	6	the	the	DET
fuelectenerg-11176	94	7	complement	complement	NOUN
fuelectenerg-11176	94	8	of	of	ADP
fuelectenerg-11176	94	9	c2	c2	PROPN
fuelectenerg-11176	94	10	,	,	PUNCT
fuelectenerg-11176	94	11	and	and	CCONJ
fuelectenerg-11176	94	12	c3	c3	PROPN
fuelectenerg-11176	94	13	will	will	AUX
fuelectenerg-11176	94	14	be	be	AUX
fuelectenerg-11176	94	15	swapped	swap	VERB
fuelectenerg-11176	94	16	.	.	PUNCT
fuelectenerg-11176	95	1	a	a	DET
fuelectenerg-11176	95	2	third	third	ADJ
fuelectenerg-11176	95	3	variation	variation	NOUN
fuelectenerg-11176	95	4	is	be	AUX
fuelectenerg-11176	95	5	shown	show	VERB
fuelectenerg-11176	95	6	in	in	ADP
fuelectenerg-11176	95	7	fig	fig	NOUN
fuelectenerg-11176	95	8	.	.	PUNCT
fuelectenerg-11176	96	1	6	6	NUM
fuelectenerg-11176	96	2	.	.	X
fuelectenerg-11176	96	3	fig	fig	NOUN
fuelectenerg-11176	96	4	.	.	PUNCT
fuelectenerg-11176	97	1	6	6	NUM
fuelectenerg-11176	97	2	third	third	ADJ
fuelectenerg-11176	97	3	variation	variation	NOUN
fuelectenerg-11176	97	4	of	of	ADP
fuelectenerg-11176	97	5	the	the	DET
fuelectenerg-11176	97	6	fredkin	fredkin	NOUN
fuelectenerg-11176	97	7	gate	gate	NOUN
fuelectenerg-11176	97	8	the	the	DET
fuelectenerg-11176	97	9	functionality	functionality	NOUN
fuelectenerg-11176	97	10	of	of	ADP
fuelectenerg-11176	97	11	the	the	DET
fuelectenerg-11176	97	12	building	building	NOUN
fuelectenerg-11176	97	13	block	block	NOUN
fuelectenerg-11176	97	14	of	of	ADP
fuelectenerg-11176	97	15	fig	fig	NOUN
fuelectenerg-11176	97	16	.	.	PUNCT
fuelectenerg-11176	98	1	6	6	NUM
fuelectenerg-11176	98	2	is	be	AUX
fuelectenerg-11176	98	3	given	give	VERB
fuelectenerg-11176	98	4	by	by	ADP
fuelectenerg-11176	98	5	:	:	PUNCT
fuelectenerg-11176	98	6	𝑐3	𝑐3	NOUN
fuelectenerg-11176	98	7	′	′	NUM
fuelectenerg-11176	99	1	=	=	PUNCT
fuelectenerg-11176	99	2	𝑐3	𝑐3	NOUN
fuelectenerg-11176	99	3	⨁	⨁	PROPN
fuelectenerg-11176	99	4	𝑐1(𝑐2	𝑐1(𝑐2	ADV
fuelectenerg-11176	99	5	⨁𝑐3	⨁𝑐3	NOUN
fuelectenerg-11176	99	6	)	)	PUNCT
fuelectenerg-11176	99	7	=	=	PUNCT
fuelectenerg-11176	100	1	𝑐1𝑐2	𝑐1𝑐2	PROPN
fuelectenerg-11176	100	2	⨁	⨁	PROPN
fuelectenerg-11176	100	3	𝑐1𝑐3	𝑐1𝑐3	PUNCT
fuelectenerg-11176	100	4	⨁𝑐3	⨁𝑐3	NOUN
fuelectenerg-11176	100	5	=	=	PUNCT
fuelectenerg-11176	100	6	𝑐1𝑐2	𝑐1𝑐2	PROPN
fuelectenerg-11176	100	7	⨁	⨁	PROPN
fuelectenerg-11176	100	8	𝑐1̅𝑐3	𝑐1̅𝑐3	NOUN
fuelectenerg-11176	100	9	,	,	PUNCT
fuelectenerg-11176	100	10	𝑐2	𝑐2	NOUN
fuelectenerg-11176	100	11	′	′	NUM
fuelectenerg-11176	100	12	=	=	SYM
fuelectenerg-11176	100	13	(	(	PUNCT
fuelectenerg-11176	100	14	𝑐2	𝑐2	NOUN
fuelectenerg-11176	100	15	⊕	⊕	PROPN
fuelectenerg-11176	100	16	𝑐3	𝑐3	PROPN
fuelectenerg-11176	100	17	)	)	PUNCT
fuelectenerg-11176	100	18	⊕	⊕	PROPN
fuelectenerg-11176	100	19	(	(	PUNCT
fuelectenerg-11176	100	20	𝑐3	𝑐3	NOUN
fuelectenerg-11176	100	21	′	′	NUM
fuelectenerg-11176	100	22	⊕	⊕	PROPN
fuelectenerg-11176	100	23	1	1	NUM
fuelectenerg-11176	100	24	)	)	PUNCT
fuelectenerg-11176	100	25	=	=	NOUN
fuelectenerg-11176	100	26	𝑐2	𝑐2	NOUN
fuelectenerg-11176	100	27	⊕	⊕	PROPN
fuelectenerg-11176	100	28	𝑐3	𝑐3	VERB
fuelectenerg-11176	100	29	⊕	⊕	PROPN
fuelectenerg-11176	100	30	𝑐1𝑐2	𝑐1𝑐2	PROPN
fuelectenerg-11176	100	31	⨁	⨁	PROPN
fuelectenerg-11176	100	32	𝑐1̅𝑐3	𝑐1̅𝑐3	NOUN
fuelectenerg-11176	100	33	⊕	⊕	PROPN
fuelectenerg-11176	100	34	1	1	NUM
fuelectenerg-11176	100	35	=	=	SYM
fuelectenerg-11176	100	36	(	(	PUNCT
fuelectenerg-11176	100	37	5	5	NUM
fuelectenerg-11176	100	38	)	)	PUNCT
fuelectenerg-11176	100	39	=	=	SYM
fuelectenerg-11176	100	40	𝑐1̅𝑐2	𝑐1̅𝑐2	PROPN
fuelectenerg-11176	100	41	⊕	⊕	PROPN
fuelectenerg-11176	100	42	𝑐1𝑐3	𝑐1𝑐3	X
fuelectenerg-11176	100	43	⊕	⊕	NOUN
fuelectenerg-11176	100	44	1	1	NUM
fuelectenerg-11176	100	45	,	,	PUNCT
fuelectenerg-11176	100	46	𝑐1	𝑐1	NOUN
fuelectenerg-11176	100	47	′	′	NUM
fuelectenerg-11176	100	48	=	=	PUNCT
fuelectenerg-11176	100	49	𝑐1	𝑐1	NOUN
fuelectenerg-11176	100	50	.	.	PUNCT
fuelectenerg-11176	101	1	equations	equation	NOUN
fuelectenerg-11176	101	2	(	(	PUNCT
fuelectenerg-11176	101	3	5	5	X
fuelectenerg-11176	101	4	)	)	PUNCT
fuelectenerg-11176	101	5	may	may	AUX
fuelectenerg-11176	101	6	be	be	AUX
fuelectenerg-11176	101	7	summarized	summarize	VERB
fuelectenerg-11176	101	8	as	as	SCONJ
fuelectenerg-11176	101	9	follows	follow	VERB
fuelectenerg-11176	101	10	:	:	PUNCT
fuelectenerg-11176	101	11	in	in	ADP
fuelectenerg-11176	101	12	words	word	NOUN
fuelectenerg-11176	101	13	:	:	PUNCT
fuelectenerg-11176	101	14	if	if	SCONJ
fuelectenerg-11176	101	15	c1	c1	PROPN
fuelectenerg-11176	101	16	=	=	PROPN
fuelectenerg-11176	101	17	0	0	PROPN
fuelectenerg-11176	101	18	then	then	ADV
fuelectenerg-11176	101	19	c3	c3	PROPN
fuelectenerg-11176	101	20	will	will	AUX
fuelectenerg-11176	101	21	be	be	AUX
fuelectenerg-11176	101	22	preserved	preserve	VERB
fuelectenerg-11176	101	23	,	,	PUNCT
fuelectenerg-11176	101	24	but	but	CCONJ
fuelectenerg-11176	101	25	c2	c2	PROPN
fuelectenerg-11176	101	26	will	will	AUX
fuelectenerg-11176	101	27	be	be	AUX
fuelectenerg-11176	101	28	complemented	complement	VERB
fuelectenerg-11176	101	29	.	.	PUNCT
fuelectenerg-11176	102	1	if	if	SCONJ
fuelectenerg-11176	102	2	c1	c1	PROPN
fuelectenerg-11176	102	3	=	=	NOUN
fuelectenerg-11176	102	4	1	1	NUM
fuelectenerg-11176	102	5	then	then	ADV
fuelectenerg-11176	102	6	the	the	DET
fuelectenerg-11176	102	7	signal	signal	NOUN
fuelectenerg-11176	102	8	c3	c3	PROPN
fuelectenerg-11176	102	9	will	will	AUX
fuelectenerg-11176	102	10	be	be	AUX
fuelectenerg-11176	102	11	complemented	complement	VERB
fuelectenerg-11176	102	12	and	and	CCONJ
fuelectenerg-11176	102	13	swapped	swap	VERB
fuelectenerg-11176	102	14	with	with	ADP
fuelectenerg-11176	102	15	c2	c2	PROPN
fuelectenerg-11176	102	16	.	.	PUNCT
fuelectenerg-11176	103	1	from	from	ADP
fuelectenerg-11176	103	2	all	all	DET
fuelectenerg-11176	103	3	former	former	ADJ
fuelectenerg-11176	103	4	variations	variation	NOUN
fuelectenerg-11176	103	5	follows	follow	VERB
fuelectenerg-11176	103	6	that	that	SCONJ
fuelectenerg-11176	103	7	a	a	DET
fuelectenerg-11176	103	8	variation	variation	NOUN
fuelectenerg-11176	103	9	comprising	comprise	VERB
fuelectenerg-11176	103	10	two	two	NUM
fuelectenerg-11176	103	11	white	white	ADJ
fuelectenerg-11176	103	12	dots	dot	NOUN
fuelectenerg-11176	103	13	at	at	ADP
fuelectenerg-11176	103	14	the	the	DET
fuelectenerg-11176	103	15	bottom	bottom	NOUN
fuelectenerg-11176	103	16	and	and	CCONJ
fuelectenerg-11176	103	17	a	a	DET
fuelectenerg-11176	103	18	white	white	ADJ
fuelectenerg-11176	103	19	dot	dot	NOUN
fuelectenerg-11176	103	20	at	at	ADP
fuelectenerg-11176	103	21	the	the	DET
fuelectenerg-11176	103	22	center	center	NOUN
fuelectenerg-11176	103	23	of	of	ADP
fuelectenerg-11176	103	24	the	the	DET
fuelectenerg-11176	103	25	middle	middle	ADJ
fuelectenerg-11176	103	26	line	line	NOUN
fuelectenerg-11176	103	27	will	will	AUX
fuelectenerg-11176	103	28	have	have	VERB
fuelectenerg-11176	103	29	the	the	DET
fuelectenerg-11176	103	30	same	same	ADJ
fuelectenerg-11176	103	31	functionality	functionality	NOUN
fuelectenerg-11176	103	32	as	as	ADP
fuelectenerg-11176	103	33	the	the	DET
fuelectenerg-11176	103	34	original	original	ADJ
fuelectenerg-11176	103	35	fredkin	fredkin	NOUN
fuelectenerg-11176	103	36	gate	gate	NOUN
fuelectenerg-11176	103	37	.	.	PUNCT
fuelectenerg-11176	104	1	this	this	PRON
fuelectenerg-11176	104	2	is	be	AUX
fuelectenerg-11176	104	3	illustrated	illustrate	VERB
fuelectenerg-11176	104	4	in	in	ADP
fuelectenerg-11176	104	5	fig	fig	NOUN
fuelectenerg-11176	104	6	.	.	PUNCT
fuelectenerg-11176	105	1	7	7	X
fuelectenerg-11176	105	2	.	.	X
fuelectenerg-11176	105	3	fig	fig	NOUN
fuelectenerg-11176	105	4	.	.	PUNCT
fuelectenerg-11176	106	1	7	7	NUM
fuelectenerg-11176	106	2	equivalent	equivalent	ADJ
fuelectenerg-11176	106	3	fredkin	fredkin	NOUN
fuelectenerg-11176	106	4	gates	gate	VERB
fuelectenerg-11176	106	5	258	258	NUM
fuelectenerg-11176	106	6	c.	c.	PROPN
fuelectenerg-11176	106	7	moraga	moraga	PROPN
fuelectenerg-11176	106	8	,	,	PUNCT
fuelectenerg-11176	106	9	f.	f.	PROPN
fuelectenerg-11176	106	10	z.	z.	PROPN
fuelectenerg-11176	106	11	hadjam	hadjam	PROPN
fuelectenerg-11176	106	12	for	for	ADP
fuelectenerg-11176	106	13	the	the	DET
fuelectenerg-11176	106	14	same	same	ADJ
fuelectenerg-11176	106	15	reasons	reason	NOUN
fuelectenerg-11176	106	16	,	,	PUNCT
fuelectenerg-11176	106	17	the	the	DET
fuelectenerg-11176	106	18	following	follow	VERB
fuelectenerg-11176	106	19	variations	variation	NOUN
fuelectenerg-11176	106	20	on	on	ADP
fuelectenerg-11176	106	21	the	the	DET
fuelectenerg-11176	106	22	fredkin	fredkin	NOUN
fuelectenerg-11176	106	23	gate	gate	NOUN
fuelectenerg-11176	106	24	are	be	AUX
fuelectenerg-11176	106	25	equivalent	equivalent	ADJ
fuelectenerg-11176	106	26	,	,	PUNCT
fuelectenerg-11176	106	27	as	as	SCONJ
fuelectenerg-11176	106	28	illustrated	illustrate	VERB
fuelectenerg-11176	106	29	in	in	ADP
fuelectenerg-11176	106	30	fig	fig	NOUN
fuelectenerg-11176	106	31	.	.	PUNCT
fuelectenerg-11176	107	1	8	8	NUM
fuelectenerg-11176	107	2	.	.	X
fuelectenerg-11176	107	3	fig	fig	NOUN
fuelectenerg-11176	107	4	.	.	PUNCT
fuelectenerg-11176	108	1	8	8	NUM
fuelectenerg-11176	108	2	further	further	ADJ
fuelectenerg-11176	108	3	equivalence	equivalence	NOUN
fuelectenerg-11176	108	4	of	of	ADP
fuelectenerg-11176	108	5	fredkin	fredkin	NOUN
fuelectenerg-11176	108	6	variations	variation	NOUN
fuelectenerg-11176	108	7	an	an	DET
fuelectenerg-11176	108	8	additional	additional	ADJ
fuelectenerg-11176	108	9	way	way	NOUN
fuelectenerg-11176	108	10	of	of	ADP
fuelectenerg-11176	108	11	introducing	introduce	VERB
fuelectenerg-11176	108	12	variations	variation	NOUN
fuelectenerg-11176	108	13	on	on	ADP
fuelectenerg-11176	108	14	the	the	DET
fuelectenerg-11176	108	15	fredkin	fredkin	NOUN
fuelectenerg-11176	108	16	gate	gate	NOUN
fuelectenerg-11176	108	17	consists	consist	VERB
fuelectenerg-11176	108	18	of	of	ADP
fuelectenerg-11176	108	19	replacing	replace	VERB
fuelectenerg-11176	108	20	the	the	DET
fuelectenerg-11176	108	21	classical	classical	ADJ
fuelectenerg-11176	108	22	toffoli	toffoli	NOUN
fuelectenerg-11176	108	23	gate	gate	NOUN
fuelectenerg-11176	108	24	with	with	ADP
fuelectenerg-11176	108	25	a	a	DET
fuelectenerg-11176	108	26	disjunct	disjunct	ADJ
fuelectenerg-11176	108	27	controlled	control	VERB
fuelectenerg-11176	108	28	toffoli	toffoli	PROPN
fuelectenerg-11176	108	29	gate	gate	NOUN
fuelectenerg-11176	109	1	[	[	X
fuelectenerg-11176	109	2	13	13	NUM
fuelectenerg-11176	109	3	]	]	PUNCT
fuelectenerg-11176	109	4	,	,	PUNCT
fuelectenerg-11176	109	5	[	[	X
fuelectenerg-11176	109	6	15	15	NUM
fuelectenerg-11176	109	7	]	]	PUNCT
fuelectenerg-11176	109	8	possibly	possibly	ADV
fuelectenerg-11176	109	9	called	call	VERB
fuelectenerg-11176	109	10	“	"	PUNCT
fuelectenerg-11176	109	11	or	or	CCONJ
fuelectenerg-11176	109	12	-	-	PUNCT
fuelectenerg-11176	109	13	toffoli	toffoli	NOUN
fuelectenerg-11176	109	14	”	"	PUNCT
fuelectenerg-11176	109	15	.	.	PUNCT
fuelectenerg-11176	110	1	for	for	ADP
fuelectenerg-11176	110	2	this	this	DET
fuelectenerg-11176	110	3	gate	gate	NOUN
fuelectenerg-11176	110	4	,	,	PUNCT
fuelectenerg-11176	110	5	up	up	ADP
fuelectenerg-11176	110	6	-	-	PUNCT
fuelectenerg-11176	110	7	side	side	NOUN
fuelectenerg-11176	110	8	-	-	PUNCT
fuelectenerg-11176	110	9	down	down	ADP
fuelectenerg-11176	110	10	triangles	triangle	NOUN
fuelectenerg-11176	110	11	–	–	PUNCT
fuelectenerg-11176	110	12	(	(	PUNCT
fuelectenerg-11176	110	13	black	black	ADJ
fuelectenerg-11176	110	14	or	or	CCONJ
fuelectenerg-11176	110	15	white	white	ADJ
fuelectenerg-11176	110	16	)	)	PUNCT
fuelectenerg-11176	110	17	–	–	PUNCT
fuelectenerg-11176	110	18	are	be	AUX
fuelectenerg-11176	110	19	used	use	VERB
fuelectenerg-11176	110	20	instead	instead	ADV
fuelectenerg-11176	110	21	of	of	ADP
fuelectenerg-11176	110	22	dots	dot	NOUN
fuelectenerg-11176	110	23	to	to	PART
fuelectenerg-11176	110	24	identify	identify	VERB
fuelectenerg-11176	110	25	the	the	DET
fuelectenerg-11176	110	26	effectivity	effectivity	NOUN
fuelectenerg-11176	110	27	of	of	ADP
fuelectenerg-11176	110	28	driving	drive	VERB
fuelectenerg-11176	110	29	control	control	NOUN
fuelectenerg-11176	110	30	signals	signal	NOUN
fuelectenerg-11176	110	31	with	with	ADP
fuelectenerg-11176	110	32	value	value	NOUN
fuelectenerg-11176	110	33	1	1	NUM
fuelectenerg-11176	110	34	and	and	CCONJ
fuelectenerg-11176	110	35	0	0	NUM
fuelectenerg-11176	110	36	,	,	PUNCT
fuelectenerg-11176	110	37	respectively	respectively	ADV
fuelectenerg-11176	110	38	.	.	PUNCT
fuelectenerg-11176	111	1	up	up	ADP
fuelectenerg-11176	111	2	-	-	PUNCT
fuelectenerg-11176	111	3	side	side	NOUN
fuelectenerg-11176	111	4	-	-	PUNCT
fuelectenerg-11176	111	5	down	down	ADP
fuelectenerg-11176	111	6	triangles	triangle	NOUN
fuelectenerg-11176	111	7	are	be	AUX
fuelectenerg-11176	111	8	used	use	VERB
fuelectenerg-11176	111	9	,	,	PUNCT
fuelectenerg-11176	111	10	based	base	VERB
fuelectenerg-11176	111	11	on	on	ADP
fuelectenerg-11176	111	12	their	their	PRON
fuelectenerg-11176	111	13	similarity	similarity	NOUN
fuelectenerg-11176	111	14	with	with	ADP
fuelectenerg-11176	111	15	“	"	PUNCT
fuelectenerg-11176	111	16			NOUN
fuelectenerg-11176	111	17	”	"	PUNCT
fuelectenerg-11176	111	18	,	,	PUNCT
fuelectenerg-11176	111	19	the	the	DET
fuelectenerg-11176	111	20	disjunction	disjunction	NOUN
fuelectenerg-11176	111	21	symbol	symbol	NOUN
fuelectenerg-11176	111	22	in	in	ADP
fuelectenerg-11176	111	23	mathematical	mathematical	ADJ
fuelectenerg-11176	111	24	logic	logic	NOUN
fuelectenerg-11176	111	25	.	.	PUNCT
fuelectenerg-11176	112	1	a	a	DET
fuelectenerg-11176	112	2	different	different	ADJ
fuelectenerg-11176	112	3	variation	variation	NOUN
fuelectenerg-11176	112	4	,	,	PUNCT
fuelectenerg-11176	112	5	based	base	VERB
fuelectenerg-11176	112	6	on	on	ADP
fuelectenerg-11176	112	7	the	the	DET
fuelectenerg-11176	112	8	or	or	CCONJ
fuelectenerg-11176	112	9	-	-	PUNCT
fuelectenerg-11176	112	10	toffoli	toffoli	NOUN
fuelectenerg-11176	112	11	gate	gate	NOUN
fuelectenerg-11176	112	12	,	,	PUNCT
fuelectenerg-11176	112	13	is	be	AUX
fuelectenerg-11176	112	14	shown	show	VERB
fuelectenerg-11176	112	15	in	in	ADP
fuelectenerg-11176	112	16	fig	fig	NOUN
fuelectenerg-11176	112	17	.	.	PUNCT
fuelectenerg-11176	113	1	9	9	NUM
fuelectenerg-11176	114	1	and	and	CCONJ
fuelectenerg-11176	114	2	may	may	AUX
fuelectenerg-11176	114	3	be	be	AUX
fuelectenerg-11176	114	4	called	call	VERB
fuelectenerg-11176	114	5	“	"	PUNCT
fuelectenerg-11176	114	6	or	or	CCONJ
fuelectenerg-11176	114	7	-	-	PUNCT
fuelectenerg-11176	114	8	fredkin	fredkin	NOUN
fuelectenerg-11176	114	9	”	"	PUNCT
fuelectenerg-11176	114	10	.	.	PUNCT
fuelectenerg-11176	115	1	notice	notice	VERB
fuelectenerg-11176	115	2	that	that	SCONJ
fuelectenerg-11176	115	3	the	the	DET
fuelectenerg-11176	115	4	quantum	quantum	NOUN
fuelectenerg-11176	115	5	model	model	NOUN
fuelectenerg-11176	115	6	based	base	VERB
fuelectenerg-11176	115	7	on	on	ADP
fuelectenerg-11176	115	8	[	[	X
fuelectenerg-11176	115	9	1	1	X
fuelectenerg-11176	115	10	]	]	PUNCT
fuelectenerg-11176	115	11	does	do	AUX
fuelectenerg-11176	115	12	not	not	PART
fuelectenerg-11176	115	13	use	use	VERB
fuelectenerg-11176	115	14	an	an	DET
fuelectenerg-11176	115	15	adjoint	adjoint	NOUN
fuelectenerg-11176	115	16	v	v	ADP
fuelectenerg-11176	115	17	gate	gate	NOUN
fuelectenerg-11176	115	18	,	,	PUNCT
fuelectenerg-11176	115	19	but	but	CCONJ
fuelectenerg-11176	115	20	otherwise	otherwise	ADV
fuelectenerg-11176	115	21	it	it	PRON
fuelectenerg-11176	115	22	uses	use	VERB
fuelectenerg-11176	115	23	the	the	DET
fuelectenerg-11176	115	24	same	same	ADJ
fuelectenerg-11176	115	25	gates	gate	NOUN
fuelectenerg-11176	115	26	as	as	ADP
fuelectenerg-11176	115	27	in	in	ADP
fuelectenerg-11176	115	28	the	the	DET
fuelectenerg-11176	115	29	quantum	quantum	ADJ
fuelectenerg-11176	115	30	model	model	NOUN
fuelectenerg-11176	115	31	of	of	ADP
fuelectenerg-11176	115	32	the	the	DET
fuelectenerg-11176	115	33	classical	classical	ADJ
fuelectenerg-11176	115	34	fredkin	fredkin	NOUN
fuelectenerg-11176	115	35	gate	gate	NOUN
fuelectenerg-11176	115	36	.	.	PUNCT
fuelectenerg-11176	116	1	therefore	therefore	ADV
fuelectenerg-11176	116	2	,	,	PUNCT
fuelectenerg-11176	116	3	it	it	PRON
fuelectenerg-11176	116	4	has	have	VERB
fuelectenerg-11176	116	5	the	the	DET
fuelectenerg-11176	116	6	same	same	ADJ
fuelectenerg-11176	116	7	quantum	quantum	ADJ
fuelectenerg-11176	116	8	cost	cost	NOUN
fuelectenerg-11176	116	9	,	,	PUNCT
fuelectenerg-11176	116	10	7	7	NUM
fuelectenerg-11176	116	11	.	.	PUNCT
fuelectenerg-11176	116	12	fig	fig	NOUN
fuelectenerg-11176	116	13	.	.	PUNCT
fuelectenerg-11176	117	1	9	9	NUM
fuelectenerg-11176	117	2	the	the	DET
fuelectenerg-11176	117	3	or	or	CCONJ
fuelectenerg-11176	117	4	-	-	PUNCT
fuelectenerg-11176	117	5	fredkin	fredkin	NOUN
fuelectenerg-11176	117	6	gate	gate	NOUN
fuelectenerg-11176	117	7	and	and	CCONJ
fuelectenerg-11176	117	8	its	its	PRON
fuelectenerg-11176	117	9	quantum	quantum	ADJ
fuelectenerg-11176	117	10	model	model	NOUN
fuelectenerg-11176	117	11	the	the	DET
fuelectenerg-11176	117	12	functionality	functionality	NOUN
fuelectenerg-11176	117	13	of	of	ADP
fuelectenerg-11176	117	14	the	the	DET
fuelectenerg-11176	117	15	building	building	NOUN
fuelectenerg-11176	117	16	block	block	NOUN
fuelectenerg-11176	117	17	of	of	ADP
fuelectenerg-11176	117	18	fig	fig	NOUN
fuelectenerg-11176	117	19	.	.	PUNCT
fuelectenerg-11176	118	1	9	9	NUM
fuelectenerg-11176	118	2	(	(	PUNCT
fuelectenerg-11176	118	3	left	left	ADJ
fuelectenerg-11176	118	4	)	)	PUNCT
fuelectenerg-11176	118	5	is	be	AUX
fuelectenerg-11176	118	6	given	give	VERB
fuelectenerg-11176	118	7	by	by	ADP
fuelectenerg-11176	118	8	:	:	PUNCT
fuelectenerg-11176	118	9	𝑐3	𝑐3	NOUN
fuelectenerg-11176	118	10	′	′	NUM
fuelectenerg-11176	119	1	=	=	PUNCT
fuelectenerg-11176	120	1	𝑐3	𝑐3	NOUN
fuelectenerg-11176	121	1	⊕	⊕	PROPN
fuelectenerg-11176	122	1	(	(	PUNCT
fuelectenerg-11176	122	2	𝑐1	𝑐1	NOUN
fuelectenerg-11176	122	3	∨	∨	NUM
fuelectenerg-11176	122	4	(	(	PUNCT
fuelectenerg-11176	122	5	𝑐2	𝑐2	NOUN
fuelectenerg-11176	122	6	⊕	⊕	PROPN
fuelectenerg-11176	122	7	𝑐3	𝑐3	NOUN
fuelectenerg-11176	122	8	)	)	PUNCT
fuelectenerg-11176	122	9	)	)	PUNCT
fuelectenerg-11176	123	1	=	=	PUNCT
fuelectenerg-11176	123	2	𝑐3	𝑐3	NOUN
fuelectenerg-11176	123	3	⊕	⊕	PROPN
fuelectenerg-11176	123	4	𝑐1	𝑐1	NOUN
fuelectenerg-11176	123	5	⊕	⊕	PROPN
fuelectenerg-11176	123	6	𝑐2	𝑐2	PROPN
fuelectenerg-11176	123	7	⊕	⊕	PROPN
fuelectenerg-11176	123	8	𝑐3	𝑐3	VERB
fuelectenerg-11176	123	9	⊕	⊕	PROPN
fuelectenerg-11176	123	10	𝑐1(𝑐2	𝑐1(𝑐2	PROPN
fuelectenerg-11176	123	11	⊕	⊕	PROPN
fuelectenerg-11176	123	12	𝑐3	𝑐3	NOUN
fuelectenerg-11176	123	13	)	)	PUNCT
fuelectenerg-11176	123	14	=	=	PUNCT
fuelectenerg-11176	124	1	=	=	PUNCT
fuelectenerg-11176	124	2	𝑐1	𝑐1	NOUN
fuelectenerg-11176	124	3	⊕	⊕	PROPN
fuelectenerg-11176	124	4	𝑐2	𝑐2	PROPN
fuelectenerg-11176	124	5	⊕	⊕	PROPN
fuelectenerg-11176	124	6	𝑐1(𝑐2	𝑐1(𝑐2	PROPN
fuelectenerg-11176	124	7	⊕	⊕	PROPN
fuelectenerg-11176	124	8	𝑐3	𝑐3	NOUN
fuelectenerg-11176	124	9	)	)	PUNCT
fuelectenerg-11176	124	10	=	=	PUNCT
fuelectenerg-11176	125	1	𝑐1	𝑐1	NOUN
fuelectenerg-11176	125	2	⊕	⊕	PROPN
fuelectenerg-11176	125	3	𝑐2	𝑐2	PROPN
fuelectenerg-11176	125	4	⊕	⊕	PROPN
fuelectenerg-11176	125	5	𝑐1𝑐2	𝑐1𝑐2	PROPN
fuelectenerg-11176	125	6	⊕	⊕	PROPN
fuelectenerg-11176	125	7	𝑐1𝑐3	𝑐1𝑐3	PUNCT
fuelectenerg-11176	126	1	=	=	SYM
fuelectenerg-11176	126	2	𝑐1̅𝑐2	𝑐1̅𝑐2	PROPN
fuelectenerg-11176	126	3	⊕	⊕	PROPN
fuelectenerg-11176	126	4	𝑐1𝑐3̅	𝑐1𝑐3̅	PROPN
fuelectenerg-11176	126	5	,	,	PUNCT
fuelectenerg-11176	126	6	(	(	PUNCT
fuelectenerg-11176	126	7	6	6	NUM
fuelectenerg-11176	126	8	)	)	PUNCT
fuelectenerg-11176	126	9	𝑐2	𝑐2	NOUN
fuelectenerg-11176	126	10	′	′	NUM
fuelectenerg-11176	126	11	=	=	PUNCT
fuelectenerg-11176	126	12	𝑐3	𝑐3	NOUN
fuelectenerg-11176	126	13	⊕	⊕	PROPN
fuelectenerg-11176	126	14	𝑐2	𝑐2	PROPN
fuelectenerg-11176	126	15	⊕	⊕	PROPN
fuelectenerg-11176	126	16	𝑐3	𝑐3	VERB
fuelectenerg-11176	126	17	′	′	NOUN
fuelectenerg-11176	126	18	=	=	PUNCT
fuelectenerg-11176	126	19	𝑐3	𝑐3	NOUN
fuelectenerg-11176	126	20	⊕	⊕	PROPN
fuelectenerg-11176	126	21	𝑐2	𝑐2	PROPN
fuelectenerg-11176	126	22	⊕	⊕	PROPN
fuelectenerg-11176	126	23	𝑐1̅𝑐2	𝑐1̅𝑐2	PROPN
fuelectenerg-11176	127	1	⊕	⊕	PROPN
fuelectenerg-11176	127	2	𝑐1𝑐3̅	𝑐1𝑐3̅	PUNCT
fuelectenerg-11176	127	3	=	=	SYM
fuelectenerg-11176	127	4	1	1	NUM
fuelectenerg-11176	127	5	⊕	⊕	PROPN
fuelectenerg-11176	127	6	𝑐1̅𝑐3̅	𝑐1̅𝑐3̅	NOUN
fuelectenerg-11176	127	7	⊕	⊕	PROPN
fuelectenerg-11176	127	8	𝑐1𝑐2	𝑐1𝑐2	VERB
fuelectenerg-11176	127	9	,	,	PUNCT
fuelectenerg-11176	127	10	𝑐1	𝑐1	NOUN
fuelectenerg-11176	127	11	′	′	NUM
fuelectenerg-11176	127	12	=	=	PUNCT
fuelectenerg-11176	127	13	𝑐1	𝑐1	NOUN
fuelectenerg-11176	127	14	.	.	PUNCT
fuelectenerg-11176	128	1	equations	equation	NOUN
fuelectenerg-11176	128	2	(	(	PUNCT
fuelectenerg-11176	128	3	6	6	NUM
fuelectenerg-11176	128	4	)	)	PUNCT
fuelectenerg-11176	128	5	may	may	AUX
fuelectenerg-11176	128	6	be	be	AUX
fuelectenerg-11176	128	7	summarized	summarize	VERB
fuelectenerg-11176	128	8	as	as	SCONJ
fuelectenerg-11176	128	9	follows	follow	VERB
fuelectenerg-11176	128	10	:	:	PUNCT
fuelectenerg-11176	128	11	c1	c1	NOUN
fuelectenerg-11176	128	12	=	=	PROPN
fuelectenerg-11176	128	13	0	0	PROPN
fuelectenerg-11176	128	14	c1	c1	NOUN
fuelectenerg-11176	128	15	=	=	NOUN
fuelectenerg-11176	128	16	1	1	NUM
fuelectenerg-11176	128	17	c2	c2	PROPN
fuelectenerg-11176	128	18	’	'	PUNCT
fuelectenerg-11176	128	19	𝑐3	𝑐3	NOUN
fuelectenerg-11176	128	20	𝑐2̅	𝑐2̅	PROPN
fuelectenerg-11176	128	21	c3	c3	PROPN
fuelectenerg-11176	128	22	’	'	PUNCT
fuelectenerg-11176	128	23	𝑐2	𝑐2	NOUN
fuelectenerg-11176	128	24	𝑐3̅	𝑐3̅	NOUN
fuelectenerg-11176	128	25	an	an	DET
fuelectenerg-11176	128	26	equivalent	equivalent	ADJ
fuelectenerg-11176	128	27	nct	nct	ADJ
fuelectenerg-11176	128	28	circuit	circuit	NOUN
fuelectenerg-11176	128	29	may	may	AUX
fuelectenerg-11176	128	30	be	be	AUX
fuelectenerg-11176	128	31	obtained	obtain	VERB
fuelectenerg-11176	128	32	,	,	PUNCT
fuelectenerg-11176	128	33	as	as	SCONJ
fuelectenerg-11176	128	34	shown	show	VERB
fuelectenerg-11176	128	35	in	in	ADP
fuelectenerg-11176	128	36	fig	fig	NOUN
fuelectenerg-11176	128	37	.	.	PUNCT
fuelectenerg-11176	129	1	10	10	NUM
fuelectenerg-11176	129	2	,	,	PUNCT
fuelectenerg-11176	129	3	where	where	SCONJ
fuelectenerg-11176	129	4	the	the	DET
fuelectenerg-11176	129	5	two	two	NUM
fuelectenerg-11176	129	6	gates	gate	NOUN
fuelectenerg-11176	129	7	in	in	ADP
fuelectenerg-11176	129	8	the	the	DET
fuelectenerg-11176	129	9	middle	middle	NOUN
fuelectenerg-11176	129	10	have	have	VERB
fuelectenerg-11176	129	11	the	the	DET
fuelectenerg-11176	129	12	functionality	functionality	NOUN
fuelectenerg-11176	129	13	of	of	ADP
fuelectenerg-11176	129	14	the	the	DET
fuelectenerg-11176	129	15	or	or	CCONJ
fuelectenerg-11176	129	16	-	-	PUNCT
fuelectenerg-11176	129	17	toffoli	toffoli	NOUN
fuelectenerg-11176	129	18	gate	gate	NOUN
fuelectenerg-11176	129	19	.	.	PUNCT
fuelectenerg-11176	130	1	fig	fig	NOUN
fuelectenerg-11176	130	2	.	.	PUNCT
fuelectenerg-11176	131	1	10	10	NUM
fuelectenerg-11176	131	2	an	an	DET
fuelectenerg-11176	131	3	nct	nct	ADJ
fuelectenerg-11176	131	4	equivalent	equivalent	ADJ
fuelectenerg-11176	131	5	circuit	circuit	NOUN
fuelectenerg-11176	131	6	for	for	ADP
fuelectenerg-11176	131	7	the	the	DET
fuelectenerg-11176	131	8	or	or	CCONJ
fuelectenerg-11176	131	9	-	-	PUNCT
fuelectenerg-11176	131	10	fredkin	fredkin	NOUN
fuelectenerg-11176	131	11	gate	gate	NOUN
fuelectenerg-11176	131	12	the	the	DET
fuelectenerg-11176	131	13	fredkin	fredkin	NOUN
fuelectenerg-11176	131	14	gate	gate	NOUN
fuelectenerg-11176	131	15	in	in	ADP
fuelectenerg-11176	131	16	reversible	reversible	ADJ
fuelectenerg-11176	131	17	and	and	CCONJ
fuelectenerg-11176	131	18	quantum	quantum	ADJ
fuelectenerg-11176	131	19	environments	environment	NOUN
fuelectenerg-11176	131	20	259	259	NUM
fuelectenerg-11176	131	21	another	another	DET
fuelectenerg-11176	131	22	variation	variation	NOUN
fuelectenerg-11176	131	23	is	be	AUX
fuelectenerg-11176	131	24	illustrated	illustrate	VERB
fuelectenerg-11176	131	25	in	in	ADP
fuelectenerg-11176	131	26	fig	fig	NOUN
fuelectenerg-11176	131	27	.	.	PUNCT
fuelectenerg-11176	132	1	11	11	NUM
fuelectenerg-11176	132	2	,	,	PUNCT
fuelectenerg-11176	132	3	where	where	SCONJ
fuelectenerg-11176	132	4	for	for	ADP
fuelectenerg-11176	132	5	an	an	DET
fuelectenerg-11176	132	6	or	or	CCONJ
fuelectenerg-11176	132	7	-	-	PUNCT
fuelectenerg-11176	132	8	toffoli	toffoli	NOUN
fuelectenerg-11176	132	9	gate	gate	NOUN
fuelectenerg-11176	132	10	,	,	PUNCT
fuelectenerg-11176	132	11	a	a	DET
fuelectenerg-11176	132	12	white	white	ADJ
fuelectenerg-11176	132	13	dot	dot	NOUN
fuelectenerg-11176	132	14	at	at	ADP
fuelectenerg-11176	132	15	the	the	DET
fuelectenerg-11176	132	16	input	input	NOUN
fuelectenerg-11176	132	17	side	side	NOUN
fuelectenerg-11176	132	18	is	be	AUX
fuelectenerg-11176	132	19	introduced	introduce	VERB
fuelectenerg-11176	132	20	.	.	PUNCT
fuelectenerg-11176	133	1	fig	fig	NOUN
fuelectenerg-11176	133	2	.	.	PUNCT
fuelectenerg-11176	134	1	11	11	NUM
fuelectenerg-11176	134	2	a	a	DET
fuelectenerg-11176	134	3	simple	simple	ADJ
fuelectenerg-11176	134	4	variation	variation	NOUN
fuelectenerg-11176	134	5	of	of	ADP
fuelectenerg-11176	134	6	the	the	DET
fuelectenerg-11176	134	7	or	or	CCONJ
fuelectenerg-11176	134	8	-	-	PUNCT
fuelectenerg-11176	134	9	fredkin	fredkin	NOUN
fuelectenerg-11176	134	10	gate	gate	NOUN
fuelectenerg-11176	134	11	the	the	DET
fuelectenerg-11176	134	12	functionality	functionality	NOUN
fuelectenerg-11176	134	13	of	of	ADP
fuelectenerg-11176	134	14	the	the	DET
fuelectenerg-11176	134	15	building	building	NOUN
fuelectenerg-11176	134	16	block	block	NOUN
fuelectenerg-11176	134	17	of	of	ADP
fuelectenerg-11176	134	18	fig	fig	NOUN
fuelectenerg-11176	134	19	.	.	PUNCT
fuelectenerg-11176	135	1	11	11	NUM
fuelectenerg-11176	135	2	is	be	AUX
fuelectenerg-11176	135	3	given	give	VERB
fuelectenerg-11176	135	4	by	by	ADP
fuelectenerg-11176	135	5	:	:	PUNCT
fuelectenerg-11176	135	6	𝑐3	𝑐3	NOUN
fuelectenerg-11176	135	7	′	′	NUM
fuelectenerg-11176	136	1	=	=	PUNCT
fuelectenerg-11176	137	1	𝑐3	𝑐3	NOUN
fuelectenerg-11176	138	1	⊕	⊕	PROPN
fuelectenerg-11176	139	1	(	(	PUNCT
fuelectenerg-11176	139	2	𝑐1	𝑐1	NOUN
fuelectenerg-11176	139	3	∨	∨	NUM
fuelectenerg-11176	139	4	(	(	PUNCT
fuelectenerg-11176	139	5	𝑐2	𝑐2	NOUN
fuelectenerg-11176	139	6	⊕	⊕	NOUN
fuelectenerg-11176	139	7	𝑐3̅	𝑐3̅	NUM
fuelectenerg-11176	139	8	)	)	PUNCT
fuelectenerg-11176	139	9	)	)	PUNCT
fuelectenerg-11176	140	1	=	=	SYM
fuelectenerg-11176	140	2	𝑐3	𝑐3	NOUN
fuelectenerg-11176	140	3	⊕	⊕	PROPN
fuelectenerg-11176	140	4	(	(	PUNCT
fuelectenerg-11176	140	5	𝑐1	𝑐1	NOUN
fuelectenerg-11176	140	6	⊕	⊕	PROPN
fuelectenerg-11176	140	7	(	(	PUNCT
fuelectenerg-11176	140	8	𝑐2	𝑐2	NOUN
fuelectenerg-11176	140	9	⊕	⊕	NOUN
fuelectenerg-11176	140	10	𝑐3̅	𝑐3̅	NOUN
fuelectenerg-11176	140	11	)	)	PUNCT
fuelectenerg-11176	140	12	⊕	⊕	PROPN
fuelectenerg-11176	140	13	𝑐1(𝑐2	𝑐1(𝑐2	ADP
fuelectenerg-11176	140	14	⊕	⊕	PROPN
fuelectenerg-11176	140	15	𝑐3̅	𝑐3̅	NOUN
fuelectenerg-11176	140	16	)	)	PUNCT
fuelectenerg-11176	140	17	)	)	PUNCT
fuelectenerg-11176	141	1	=	=	PUNCT
fuelectenerg-11176	142	1	=	=	SYM
fuelectenerg-11176	142	2	𝑐3	𝑐3	NOUN
fuelectenerg-11176	142	3	⊕	⊕	PROPN
fuelectenerg-11176	142	4	𝑐1	𝑐1	NOUN
fuelectenerg-11176	142	5	⊕	⊕	PROPN
fuelectenerg-11176	142	6	𝑐2	𝑐2	PROPN
fuelectenerg-11176	142	7	⊕	⊕	PROPN
fuelectenerg-11176	142	8	𝑐3̅	𝑐3̅	PROPN
fuelectenerg-11176	143	1	⊕	⊕	PROPN
fuelectenerg-11176	143	2	𝑐1(𝑐2	𝑐1(𝑐2	ADP
fuelectenerg-11176	143	3	⊕	⊕	PROPN
fuelectenerg-11176	143	4	𝑐3̅	𝑐3̅	NOUN
fuelectenerg-11176	143	5	)	)	PUNCT
fuelectenerg-11176	143	6	=	=	SYM
fuelectenerg-11176	143	7	1	1	NUM
fuelectenerg-11176	143	8	⊕	⊕	PROPN
fuelectenerg-11176	143	9	𝑐2	𝑐2	NOUN
fuelectenerg-11176	143	10	⊕	⊕	PROPN
fuelectenerg-11176	143	11	𝑐1(𝑐2	𝑐1(𝑐2	PROPN
fuelectenerg-11176	143	12	⊕	⊕	PROPN
fuelectenerg-11176	143	13	𝑐3	𝑐3	NOUN
fuelectenerg-11176	143	14	)	)	PUNCT
fuelectenerg-11176	143	15	=	=	PUNCT
fuelectenerg-11176	144	1	=	=	SYM
fuelectenerg-11176	144	2	1	1	NUM
fuelectenerg-11176	144	3	⊕	⊕	NUM
fuelectenerg-11176	144	4	𝑐1̅𝑐2	𝑐1̅𝑐2	NOUN
fuelectenerg-11176	145	1	⊕	⊕	PROPN
fuelectenerg-11176	145	2	𝑐1𝑐3	𝑐1𝑐3	X
fuelectenerg-11176	145	3	,	,	PUNCT
fuelectenerg-11176	145	4	(	(	PUNCT
fuelectenerg-11176	145	5	7	7	X
fuelectenerg-11176	145	6	)	)	PUNCT
fuelectenerg-11176	145	7	𝑐2	𝑐2	NOUN
fuelectenerg-11176	145	8	′	′	NUM
fuelectenerg-11176	145	9	=	=	NOUN
fuelectenerg-11176	145	10	𝑐2	𝑐2	NOUN
fuelectenerg-11176	145	11	⊕	⊕	PROPN
fuelectenerg-11176	145	12	𝑐3̅	𝑐3̅	NOUN
fuelectenerg-11176	146	1	⊕	⊕	PROPN
fuelectenerg-11176	146	2	𝑐3	𝑐3	VERB
fuelectenerg-11176	146	3	′	′	NOUN
fuelectenerg-11176	147	1	=	=	NOUN
fuelectenerg-11176	147	2	𝑐2	𝑐2	NOUN
fuelectenerg-11176	147	3	⊕	⊕	NOUN
fuelectenerg-11176	147	4	𝑐3̅	𝑐3̅	NOUN
fuelectenerg-11176	148	1	⊕	⊕	PROPN
fuelectenerg-11176	148	2	1	1	NUM
fuelectenerg-11176	148	3	⊕	⊕	PROPN
fuelectenerg-11176	148	4	𝑐1̅𝑐2	𝑐1̅𝑐2	NOUN
fuelectenerg-11176	148	5	⊕	⊕	PROPN
fuelectenerg-11176	148	6	𝑐1𝑐3	𝑐1𝑐3	X
fuelectenerg-11176	149	1	=	=	PUNCT
fuelectenerg-11176	149	2	𝑐1𝑐2	𝑐1𝑐2	PROPN
fuelectenerg-11176	149	3	⊕	⊕	PROPN
fuelectenerg-11176	149	4	𝑐1̅𝑐3	𝑐1̅𝑐3	NOUN
fuelectenerg-11176	149	5	,	,	PUNCT
fuelectenerg-11176	149	6	𝑐1	𝑐1	NOUN
fuelectenerg-11176	149	7	′	′	NUM
fuelectenerg-11176	149	8	=	=	PUNCT
fuelectenerg-11176	149	9	𝑐1	𝑐1	NOUN
fuelectenerg-11176	149	10	.	.	PUNCT
fuelectenerg-11176	150	1	equations	equation	NOUN
fuelectenerg-11176	150	2	(	(	PUNCT
fuelectenerg-11176	150	3	7	7	X
fuelectenerg-11176	150	4	)	)	PUNCT
fuelectenerg-11176	150	5	may	may	AUX
fuelectenerg-11176	150	6	be	be	AUX
fuelectenerg-11176	150	7	summarized	summarize	VERB
fuelectenerg-11176	150	8	as	as	SCONJ
fuelectenerg-11176	150	9	follows	follow	VERB
fuelectenerg-11176	150	10	:	:	PUNCT
fuelectenerg-11176	150	11	c1	c1	NOUN
fuelectenerg-11176	150	12	=	=	PROPN
fuelectenerg-11176	150	13	0	0	PROPN
fuelectenerg-11176	150	14	c1	c1	NOUN
fuelectenerg-11176	150	15	=	=	NOUN
fuelectenerg-11176	150	16	1	1	NUM
fuelectenerg-11176	150	17	c2	c2	PROPN
fuelectenerg-11176	150	18	’	'	PUNCT
fuelectenerg-11176	150	19	𝑐3	𝑐3	VERB
fuelectenerg-11176	150	20	𝑐2	𝑐2	PROPN
fuelectenerg-11176	150	21	c3	c3	PROPN
fuelectenerg-11176	150	22	’	'	PUNCT
fuelectenerg-11176	150	23	𝑐2̅	𝑐2̅	PROPN
fuelectenerg-11176	150	24	𝑐3̅	𝑐3̅	NOUN
fuelectenerg-11176	150	25	in	in	ADP
fuelectenerg-11176	150	26	words	word	NOUN
fuelectenerg-11176	150	27	:	:	PUNCT
fuelectenerg-11176	150	28	if	if	SCONJ
fuelectenerg-11176	150	29	c1	c1	PROPN
fuelectenerg-11176	150	30	=	=	PROPN
fuelectenerg-11176	150	31	0	0	PROPN
fuelectenerg-11176	151	1	then	then	ADV
fuelectenerg-11176	151	2	c2	c2	PROPN
fuelectenerg-11176	151	3	will	will	AUX
fuelectenerg-11176	151	4	be	be	AUX
fuelectenerg-11176	151	5	complemented	complement	VERB
fuelectenerg-11176	151	6	and	and	CCONJ
fuelectenerg-11176	151	7	swapped	swap	VERB
fuelectenerg-11176	151	8	with	with	ADP
fuelectenerg-11176	151	9	c3	c3	PROPN
fuelectenerg-11176	151	10	,	,	PUNCT
fuelectenerg-11176	151	11	whereas	whereas	SCONJ
fuelectenerg-11176	151	12	if	if	SCONJ
fuelectenerg-11176	151	13	c1	c1	PROPN
fuelectenerg-11176	151	14	=	=	NOUN
fuelectenerg-11176	151	15	1	1	NUM
fuelectenerg-11176	151	16	there	there	PRON
fuelectenerg-11176	151	17	will	will	AUX
fuelectenerg-11176	151	18	be	be	AUX
fuelectenerg-11176	151	19	no	no	DET
fuelectenerg-11176	151	20	swapping	swapping	NOUN
fuelectenerg-11176	151	21	,	,	PUNCT
fuelectenerg-11176	151	22	but	but	CCONJ
fuelectenerg-11176	151	23	c3	c3	PROPN
fuelectenerg-11176	151	24	will	will	AUX
fuelectenerg-11176	151	25	be	be	AUX
fuelectenerg-11176	151	26	complemented	complement	VERB
fuelectenerg-11176	151	27	.	.	PUNCT
fuelectenerg-11176	152	1	fig	fig	NOUN
fuelectenerg-11176	152	2	.	.	PUNCT
fuelectenerg-11176	153	1	12	12	NUM
fuelectenerg-11176	153	2	shows	show	VERB
fuelectenerg-11176	153	3	an	an	DET
fuelectenerg-11176	153	4	equivalent	equivalent	ADJ
fuelectenerg-11176	153	5	nct	nct	ADJ
fuelectenerg-11176	153	6	circuit	circuit	NOUN
fuelectenerg-11176	153	7	for	for	ADP
fuelectenerg-11176	153	8	the	the	DET
fuelectenerg-11176	153	9	modified	modify	VERB
fuelectenerg-11176	153	10	fredkin	fredkin	NOUN
fuelectenerg-11176	153	11	gate	gate	NOUN
fuelectenerg-11176	153	12	of	of	ADP
fuelectenerg-11176	153	13	fig	fig	NOUN
fuelectenerg-11176	153	14	.	.	PUNCT
fuelectenerg-11176	154	1	11	11	NUM
fuelectenerg-11176	154	2	.	.	X
fuelectenerg-11176	154	3	fig	fig	NOUN
fuelectenerg-11176	154	4	.	.	PUNCT
fuelectenerg-11176	155	1	12	12	NUM
fuelectenerg-11176	155	2	equivalent	equivalent	ADJ
fuelectenerg-11176	155	3	(	(	PUNCT
fuelectenerg-11176	155	4	more	more	ADV
fuelectenerg-11176	155	5	complex	complex	ADJ
fuelectenerg-11176	155	6	)	)	PUNCT
fuelectenerg-11176	155	7	nct	nct	ADJ
fuelectenerg-11176	155	8	circuit	circuit	NOUN
fuelectenerg-11176	155	9	for	for	ADP
fuelectenerg-11176	155	10	the	the	DET
fuelectenerg-11176	155	11	gate	gate	NOUN
fuelectenerg-11176	155	12	of	of	ADP
fuelectenerg-11176	155	13	fig	fig	NOUN
fuelectenerg-11176	155	14	.	.	PUNCT
fuelectenerg-11176	156	1	11	11	NUM
fuelectenerg-11176	156	2	two	two	NUM
fuelectenerg-11176	156	3	equivalent	equivalent	ADJ
fuelectenerg-11176	156	4	variations	variation	NOUN
fuelectenerg-11176	156	5	are	be	AUX
fuelectenerg-11176	156	6	shown	show	VERB
fuelectenerg-11176	156	7	in	in	ADP
fuelectenerg-11176	156	8	fig	fig	NOUN
fuelectenerg-11176	156	9	.	.	PUNCT
fuelectenerg-11176	157	1	13	13	NUM
fuelectenerg-11176	157	2	,	,	PUNCT
fuelectenerg-11176	157	3	with	with	ADP
fuelectenerg-11176	157	4	a	a	DET
fuelectenerg-11176	157	5	different	different	ADJ
fuelectenerg-11176	157	6	distribution	distribution	NOUN
fuelectenerg-11176	157	7	of	of	ADP
fuelectenerg-11176	157	8	the	the	DET
fuelectenerg-11176	157	9	white	white	ADJ
fuelectenerg-11176	157	10	dots	dot	NOUN
fuelectenerg-11176	157	11	/	/	SYM
fuelectenerg-11176	157	12	triangle	triangle	NOUN
fuelectenerg-11176	157	13	.	.	PUNCT
fuelectenerg-11176	158	1	fig	fig	NOUN
fuelectenerg-11176	158	2	.	.	PUNCT
fuelectenerg-11176	159	1	13	13	NUM
fuelectenerg-11176	159	2	equivalent	equivalent	ADJ
fuelectenerg-11176	159	3	variations	variation	NOUN
fuelectenerg-11176	159	4	of	of	ADP
fuelectenerg-11176	159	5	the	the	DET
fuelectenerg-11176	159	6	or	or	CCONJ
fuelectenerg-11176	159	7	-	-	PUNCT
fuelectenerg-11176	159	8	fredkin	fredkin	NOUN
fuelectenerg-11176	159	9	gate	gate	NOUN
fuelectenerg-11176	159	10	the	the	DET
fuelectenerg-11176	159	11	functionality	functionality	NOUN
fuelectenerg-11176	159	12	of	of	ADP
fuelectenerg-11176	159	13	the	the	DET
fuelectenerg-11176	159	14	building	building	NOUN
fuelectenerg-11176	159	15	block	block	NOUN
fuelectenerg-11176	159	16	at	at	ADP
fuelectenerg-11176	159	17	the	the	DET
fuelectenerg-11176	159	18	left	left	NOUN
fuelectenerg-11176	159	19	of	of	ADP
fuelectenerg-11176	159	20	fig	fig	NOUN
fuelectenerg-11176	159	21	.	.	PUNCT
fuelectenerg-11176	159	22	13	13	NUM
fuelectenerg-11176	159	23	is	be	AUX
fuelectenerg-11176	159	24	given	give	VERB
fuelectenerg-11176	159	25	by	by	ADP
fuelectenerg-11176	159	26	:	:	PUNCT
fuelectenerg-11176	159	27	𝑐3	𝑐3	NOUN
fuelectenerg-11176	159	28	′	′	NUM
fuelectenerg-11176	160	1	=	=	PUNCT
fuelectenerg-11176	161	1	𝑐3	𝑐3	NOUN
fuelectenerg-11176	162	1	⊕	⊕	PROPN
fuelectenerg-11176	163	1	𝑐1	𝑐1	NOUN
fuelectenerg-11176	163	2	∨	∨	NUM
fuelectenerg-11176	163	3	(	(	PUNCT
fuelectenerg-11176	163	4	𝑐2	𝑐2	NOUN
fuelectenerg-11176	163	5	⊕	⊕	PROPN
fuelectenerg-11176	163	6	𝑐3	𝑐3	VERB
fuelectenerg-11176	163	7	)	)	PUNCT
fuelectenerg-11176	163	8	=	=	PUNCT
fuelectenerg-11176	164	1	𝑐1	𝑐1	NOUN
fuelectenerg-11176	164	2	⊕	⊕	PROPN
fuelectenerg-11176	164	3	𝑐2	𝑐2	PROPN
fuelectenerg-11176	164	4	⊕	⊕	PROPN
fuelectenerg-11176	164	5	𝑐1𝑐2	𝑐1𝑐2	PROPN
fuelectenerg-11176	164	6	⊕	⊕	PROPN
fuelectenerg-11176	164	7	𝑐1𝑐3	𝑐1𝑐3	PUNCT
fuelectenerg-11176	165	1	=	=	SYM
fuelectenerg-11176	165	2	𝑐1̅𝑐2	𝑐1̅𝑐2	NOUN
fuelectenerg-11176	165	3	⊕	⊕	PROPN
fuelectenerg-11176	165	4	𝑐1𝑐3̅	𝑐1𝑐3̅	PUNCT
fuelectenerg-11176	165	5	,	,	PUNCT
fuelectenerg-11176	165	6	𝑐2	𝑐2	NOUN
fuelectenerg-11176	165	7	′	′	NUM
fuelectenerg-11176	165	8	=	=	SYM
fuelectenerg-11176	165	9	𝑐2	𝑐2	NOUN
fuelectenerg-11176	165	10	⊕	⊕	PROPN
fuelectenerg-11176	165	11	𝑐3	𝑐3	NOUN
fuelectenerg-11176	165	12	⊕	⊕	PROPN
fuelectenerg-11176	165	13	𝑐3	𝑐3	NOUN
fuelectenerg-11176	166	1	′	′	NUM
fuelectenerg-11176	166	2	⊕	⊕	NOUN
fuelectenerg-11176	166	3	1	1	NUM
fuelectenerg-11176	166	4	=	=	SYM
fuelectenerg-11176	166	5	𝑐2	𝑐2	NOUN
fuelectenerg-11176	166	6	⊕	⊕	PROPN
fuelectenerg-11176	166	7	𝑐3̅	𝑐3̅	PROPN
fuelectenerg-11176	167	1	⊕	⊕	PROPN
fuelectenerg-11176	167	2	𝑐1̅𝑐2	𝑐1̅𝑐2	NOUN
fuelectenerg-11176	167	3	⊕	⊕	PROPN
fuelectenerg-11176	167	4	𝑐1𝑐3̅	𝑐1𝑐3̅	PUNCT
fuelectenerg-11176	167	5	=	=	PUNCT
fuelectenerg-11176	167	6	𝑐1𝑐2	𝑐1𝑐2	PROPN
fuelectenerg-11176	167	7	⊕	⊕	PROPN
fuelectenerg-11176	167	8	𝑐1̅𝑐3̅	𝑐1̅𝑐3̅	NOUN
fuelectenerg-11176	167	9	,	,	PUNCT
fuelectenerg-11176	167	10	(	(	PUNCT
fuelectenerg-11176	167	11	8)	8)	NUM
fuelectenerg-11176	167	12	𝑐1	𝑐1	NOUN
fuelectenerg-11176	167	13	′	′	NUM
fuelectenerg-11176	167	14	=	=	PUNCT
fuelectenerg-11176	167	15	𝑐1	𝑐1	NOUN
fuelectenerg-11176	167	16	.	.	PROPN
fuelectenerg-11176	168	1	260	260	NUM
fuelectenerg-11176	168	2	c.	c.	PROPN
fuelectenerg-11176	168	3	moraga	moraga	PROPN
fuelectenerg-11176	168	4	,	,	PUNCT
fuelectenerg-11176	168	5	f.	f.	PROPN
fuelectenerg-11176	168	6	z.	z.	PROPN
fuelectenerg-11176	168	7	hadjam	hadjam	PROPN
fuelectenerg-11176	168	8	equations	equation	NOUN
fuelectenerg-11176	168	9	(	(	PUNCT
fuelectenerg-11176	168	10	8)	8)	NUM
fuelectenerg-11176	168	11	may	may	AUX
fuelectenerg-11176	168	12	be	be	AUX
fuelectenerg-11176	168	13	summarized	summarize	VERB
fuelectenerg-11176	168	14	as	as	SCONJ
fuelectenerg-11176	168	15	follows	follow	VERB
fuelectenerg-11176	168	16	:	:	PUNCT
fuelectenerg-11176	168	17	c1	c1	NOUN
fuelectenerg-11176	168	18	=	=	PROPN
fuelectenerg-11176	168	19	0	0	PROPN
fuelectenerg-11176	168	20	c1	c1	NOUN
fuelectenerg-11176	168	21	=	=	NOUN
fuelectenerg-11176	168	22	1	1	NUM
fuelectenerg-11176	168	23	c2	c2	PROPN
fuelectenerg-11176	168	24	’	'	PUNCT
fuelectenerg-11176	168	25	𝑐3̅	𝑐3̅	NOUN
fuelectenerg-11176	168	26	𝑐2	𝑐2	NOUN
fuelectenerg-11176	168	27	c3	c3	NOUN
fuelectenerg-11176	168	28	’	'	PUNCT
fuelectenerg-11176	168	29	𝑐2	𝑐2	NOUN
fuelectenerg-11176	168	30	𝑐3̅	𝑐3̅	NOUN
fuelectenerg-11176	168	31	in	in	ADP
fuelectenerg-11176	168	32	words	word	NOUN
fuelectenerg-11176	168	33	:	:	PUNCT
fuelectenerg-11176	168	34	c3	c3	NOUN
fuelectenerg-11176	168	35	will	will	AUX
fuelectenerg-11176	168	36	be	be	AUX
fuelectenerg-11176	168	37	complemented	complement	VERB
fuelectenerg-11176	168	38	and	and	CCONJ
fuelectenerg-11176	168	39	if	if	SCONJ
fuelectenerg-11176	168	40	c1	c1	PROPN
fuelectenerg-11176	168	41	=	=	PROPN
fuelectenerg-11176	169	1	0	0	PROPN
fuelectenerg-11176	169	2	then	then	ADV
fuelectenerg-11176	169	3	it	it	PRON
fuelectenerg-11176	169	4	will	will	AUX
fuelectenerg-11176	169	5	be	be	AUX
fuelectenerg-11176	169	6	swapped	swap	VERB
fuelectenerg-11176	169	7	with	with	ADP
fuelectenerg-11176	169	8	c2	c2	PROPN
fuelectenerg-11176	169	9	.	.	PUNCT
fuelectenerg-11176	170	1	if	if	SCONJ
fuelectenerg-11176	170	2	c1	c1	PROPN
fuelectenerg-11176	170	3	=	=	NOUN
fuelectenerg-11176	170	4	1	1	NUM
fuelectenerg-11176	170	5	then	then	ADV
fuelectenerg-11176	170	6	no	no	DET
fuelectenerg-11176	170	7	swapping	swapping	NOUN
fuelectenerg-11176	170	8	takes	take	VERB
fuelectenerg-11176	170	9	place	place	NOUN
fuelectenerg-11176	170	10	.	.	PUNCT
fuelectenerg-11176	171	1	it	it	PRON
fuelectenerg-11176	171	2	is	be	AUX
fuelectenerg-11176	171	3	simple	simple	ADJ
fuelectenerg-11176	171	4	to	to	PART
fuelectenerg-11176	171	5	show	show	VERB
fuelectenerg-11176	171	6	that	that	SCONJ
fuelectenerg-11176	171	7	the	the	DET
fuelectenerg-11176	171	8	circuit	circuit	NOUN
fuelectenerg-11176	171	9	shown	show	VERB
fuelectenerg-11176	171	10	at	at	ADP
fuelectenerg-11176	171	11	the	the	DET
fuelectenerg-11176	171	12	right	right	NOUN
fuelectenerg-11176	171	13	of	of	ADP
fuelectenerg-11176	171	14	fig	fig	NOUN
fuelectenerg-11176	171	15	.	.	PUNCT
fuelectenerg-11176	172	1	13	13	NUM
fuelectenerg-11176	172	2	has	have	VERB
fuelectenerg-11176	172	3	the	the	DET
fuelectenerg-11176	172	4	same	same	ADJ
fuelectenerg-11176	172	5	functionality	functionality	NOUN
fuelectenerg-11176	172	6	.	.	PUNCT
fuelectenerg-11176	173	1	an	an	DET
fuelectenerg-11176	173	2	nct	nct	ADJ
fuelectenerg-11176	173	3	circuit	circuit	NOUN
fuelectenerg-11176	173	4	equivalent	equivalent	ADJ
fuelectenerg-11176	173	5	to	to	ADP
fuelectenerg-11176	173	6	the	the	DET
fuelectenerg-11176	173	7	variation	variation	NOUN
fuelectenerg-11176	173	8	,	,	PUNCT
fuelectenerg-11176	173	9	is	be	AUX
fuelectenerg-11176	173	10	shown	show	VERB
fuelectenerg-11176	173	11	in	in	ADP
fuelectenerg-11176	173	12	fig	fig	NOUN
fuelectenerg-11176	173	13	.	.	PUNCT
fuelectenerg-11176	174	1	14	14	NUM
fuelectenerg-11176	174	2	.	.	PUNCT
fuelectenerg-11176	175	1	it	it	PRON
fuelectenerg-11176	175	2	may	may	AUX
fuelectenerg-11176	175	3	be	be	AUX
fuelectenerg-11176	175	4	seen	see	VERB
fuelectenerg-11176	175	5	that	that	SCONJ
fuelectenerg-11176	175	6	its	its	PRON
fuelectenerg-11176	175	7	quantum	quantum	ADJ
fuelectenerg-11176	175	8	cost	cost	NOUN
fuelectenerg-11176	175	9	[	[	X
fuelectenerg-11176	175	10	22	22	NUM
fuelectenerg-11176	175	11	]	]	PUNCT
fuelectenerg-11176	175	12	,	,	PUNCT
fuelectenerg-11176	175	13	[	[	X
fuelectenerg-11176	175	14	27	27	NUM
fuelectenerg-11176	175	15	]	]	PUNCT
fuelectenerg-11176	175	16	and	and	CCONJ
fuelectenerg-11176	175	17	depth	depth	NOUN
fuelectenerg-11176	175	18	is	be	AUX
fuelectenerg-11176	175	19	higher	high	ADJ
fuelectenerg-11176	175	20	by	by	ADP
fuelectenerg-11176	175	21	1	1	NUM
fuelectenerg-11176	175	22	with	with	ADP
fuelectenerg-11176	175	23	respect	respect	NOUN
fuelectenerg-11176	175	24	to	to	ADP
fuelectenerg-11176	175	25	the	the	DET
fuelectenerg-11176	175	26	variations	variation	NOUN
fuelectenerg-11176	175	27	in	in	ADP
fuelectenerg-11176	175	28	fig	fig	NOUN
fuelectenerg-11176	175	29	.	.	PUNCT
fuelectenerg-11176	176	1	13	13	NUM
fuelectenerg-11176	176	2	.	.	X
fuelectenerg-11176	176	3	fig	fig	NOUN
fuelectenerg-11176	176	4	.	.	PUNCT
fuelectenerg-11176	177	1	14	14	NUM
fuelectenerg-11176	177	2	equivalent	equivalent	ADJ
fuelectenerg-11176	177	3	nct	nct	ADJ
fuelectenerg-11176	177	4	circuit	circuit	NOUN
fuelectenerg-11176	177	5	of	of	ADP
fuelectenerg-11176	177	6	the	the	DET
fuelectenerg-11176	177	7	or	or	CCONJ
fuelectenerg-11176	177	8	-	-	PUNCT
fuelectenerg-11176	177	9	fredkin	fredkin	NOUN
fuelectenerg-11176	177	10	variation	variation	NOUN
fuelectenerg-11176	177	11	of	of	ADP
fuelectenerg-11176	177	12	fig	fig	NOUN
fuelectenerg-11176	177	13	.	.	PUNCT
fuelectenerg-11176	178	1	13	13	NUM
fuelectenerg-11176	178	2	another	another	DET
fuelectenerg-11176	178	3	variation	variation	NOUN
fuelectenerg-11176	178	4	is	be	AUX
fuelectenerg-11176	178	5	possible	possible	ADJ
fuelectenerg-11176	178	6	,	,	PUNCT
fuelectenerg-11176	178	7	with	with	SCONJ
fuelectenerg-11176	178	8	both	both	DET
fuelectenerg-11176	178	9	bottom	bottom	ADJ
fuelectenerg-11176	178	10	dots	dot	NOUN
fuelectenerg-11176	178	11	white	white	ADJ
fuelectenerg-11176	178	12	,	,	PUNCT
fuelectenerg-11176	178	13	as	as	SCONJ
fuelectenerg-11176	178	14	shown	show	VERB
fuelectenerg-11176	178	15	in	in	ADP
fuelectenerg-11176	178	16	fig	fig	NOUN
fuelectenerg-11176	178	17	.	.	PUNCT
fuelectenerg-11176	179	1	15	15	NUM
fuelectenerg-11176	179	2	.	.	X
fuelectenerg-11176	179	3	fig	fig	NOUN
fuelectenerg-11176	179	4	.	.	PUNCT
fuelectenerg-11176	180	1	15	15	NUM
fuelectenerg-11176	180	2	another	another	DET
fuelectenerg-11176	180	3	orfredkin	orfredkin	ADJ
fuelectenerg-11176	180	4	variation	variation	NOUN
fuelectenerg-11176	180	5	the	the	DET
fuelectenerg-11176	180	6	functionality	functionality	NOUN
fuelectenerg-11176	180	7	of	of	ADP
fuelectenerg-11176	180	8	the	the	DET
fuelectenerg-11176	180	9	building	building	NOUN
fuelectenerg-11176	180	10	block	block	NOUN
fuelectenerg-11176	180	11	of	of	ADP
fuelectenerg-11176	180	12	fig	fig	NOUN
fuelectenerg-11176	180	13	.	.	PUNCT
fuelectenerg-11176	181	1	15	15	NUM
fuelectenerg-11176	181	2	is	be	AUX
fuelectenerg-11176	181	3	given	give	VERB
fuelectenerg-11176	181	4	by	by	ADP
fuelectenerg-11176	181	5	:	:	PUNCT
fuelectenerg-11176	181	6	𝑐3	𝑐3	NOUN
fuelectenerg-11176	181	7	′	′	NUM
fuelectenerg-11176	182	1	=	=	PUNCT
fuelectenerg-11176	183	1	𝑐3	𝑐3	NOUN
fuelectenerg-11176	184	1	⊕	⊕	PROPN
fuelectenerg-11176	185	1	𝑐1	𝑐1	NOUN
fuelectenerg-11176	185	2	∨	∨	NUM
fuelectenerg-11176	185	3	(	(	PUNCT
fuelectenerg-11176	185	4	𝑐2	𝑐2	NOUN
fuelectenerg-11176	185	5	⊕	⊕	NOUN
fuelectenerg-11176	185	6	𝑐3̅	𝑐3̅	NUM
fuelectenerg-11176	185	7	)	)	PUNCT
fuelectenerg-11176	186	1	=	=	PUNCT
fuelectenerg-11176	186	2	𝑐3	𝑐3	NOUN
fuelectenerg-11176	186	3	⊕	⊕	PROPN
fuelectenerg-11176	186	4	𝑐1	𝑐1	NOUN
fuelectenerg-11176	186	5	⊕	⊕	PROPN
fuelectenerg-11176	186	6	(	(	PUNCT
fuelectenerg-11176	186	7	𝑐2	𝑐2	NOUN
fuelectenerg-11176	186	8	⊕	⊕	NOUN
fuelectenerg-11176	186	9	𝑐3̅	𝑐3̅	NOUN
fuelectenerg-11176	186	10	)	)	PUNCT
fuelectenerg-11176	186	11	⊕	⊕	PROPN
fuelectenerg-11176	186	12	𝑐1(𝑐2	𝑐1(𝑐2	ADP
fuelectenerg-11176	186	13	⊕	⊕	PROPN
fuelectenerg-11176	186	14	𝑐3̅	𝑐3̅	NOUN
fuelectenerg-11176	186	15	)	)	PUNCT
fuelectenerg-11176	186	16	=	=	SYM
fuelectenerg-11176	187	1	=	=	SYM
fuelectenerg-11176	187	2	1	1	NUM
fuelectenerg-11176	187	3	⊕	⊕	PROPN
fuelectenerg-11176	187	4	𝑐1	𝑐1	NOUN
fuelectenerg-11176	187	5	⊕	⊕	PROPN
fuelectenerg-11176	187	6	𝑐2	𝑐2	PROPN
fuelectenerg-11176	187	7	⊕	⊕	PROPN
fuelectenerg-11176	187	8	𝑐1𝑐2	𝑐1𝑐2	PROPN
fuelectenerg-11176	187	9	⊕	⊕	PROPN
fuelectenerg-11176	187	10	𝑐1𝑐3̅	𝑐1𝑐3̅	PUNCT
fuelectenerg-11176	187	11	=	=	SYM
fuelectenerg-11176	187	12	𝑐1̅𝑐2	𝑐1̅𝑐2	NOUN
fuelectenerg-11176	187	13	⊕	⊕	PROPN
fuelectenerg-11176	187	14	𝑐1𝑐3	𝑐1𝑐3	PUNCT
fuelectenerg-11176	187	15	⊕	⊕	NOUN
fuelectenerg-11176	187	16	1	1	X
fuelectenerg-11176	187	17	=	=	SYM
fuelectenerg-11176	187	18	𝑐1̅𝑐2̅	𝑐1̅𝑐2̅	PROPN
fuelectenerg-11176	187	19	⊕	⊕	PROPN
fuelectenerg-11176	187	20	𝑐1𝑐3̅	𝑐1𝑐3̅	PUNCT
fuelectenerg-11176	187	21	,	,	PUNCT
fuelectenerg-11176	187	22	(	(	PUNCT
fuelectenerg-11176	187	23	9	9	X
fuelectenerg-11176	187	24	)	)	PUNCT
fuelectenerg-11176	187	25	𝑐2	𝑐2	NOUN
fuelectenerg-11176	187	26	′	′	NUM
fuelectenerg-11176	187	27	=	=	SYM
fuelectenerg-11176	187	28	(	(	PUNCT
fuelectenerg-11176	187	29	𝑐2	𝑐2	NOUN
fuelectenerg-11176	187	30	⊕	⊕	NOUN
fuelectenerg-11176	187	31	𝑐3̅	𝑐3̅	NOUN
fuelectenerg-11176	187	32	)	)	PUNCT
fuelectenerg-11176	187	33	⊕	⊕	PROPN
fuelectenerg-11176	187	34	𝑐3	𝑐3	VERB
fuelectenerg-11176	187	35	′	′	NUM
fuelectenerg-11176	188	1	⊕	⊕	NOUN
fuelectenerg-11176	188	2	1	1	NUM
fuelectenerg-11176	189	1	=	=	SYM
fuelectenerg-11176	189	2	𝑐2	𝑐2	NOUN
fuelectenerg-11176	189	3	⊕	⊕	PROPN
fuelectenerg-11176	189	4	𝑐3̅	𝑐3̅	PROPN
fuelectenerg-11176	190	1	⊕	⊕	PROPN
fuelectenerg-11176	190	2	𝑐1̅𝑐2	𝑐1̅𝑐2	NOUN
fuelectenerg-11176	191	1	⊕	⊕	PROPN
fuelectenerg-11176	191	2	𝑐1𝑐3	𝑐1𝑐3	PUNCT
fuelectenerg-11176	192	1	=	=	PUNCT
fuelectenerg-11176	192	2	=	=	PUNCT
fuelectenerg-11176	192	3	𝑐1𝑐2	𝑐1𝑐2	PROPN
fuelectenerg-11176	192	4	⊕	⊕	PROPN
fuelectenerg-11176	192	5	𝑐1̅𝑐3	𝑐1̅𝑐3	NOUN
fuelectenerg-11176	192	6	⊕	⊕	PROPN
fuelectenerg-11176	192	7	1	1	NUM
fuelectenerg-11176	192	8	=	=	SYM
fuelectenerg-11176	192	9	𝑐1𝑐2̅	𝑐1𝑐2̅	PROPN
fuelectenerg-11176	192	10	⊕	⊕	PROPN
fuelectenerg-11176	192	11	=	=	PUNCT
fuelectenerg-11176	193	1	𝑐1̅𝑐3̅	𝑐1̅𝑐3̅	PROPN
fuelectenerg-11176	193	2	,	,	PUNCT
fuelectenerg-11176	193	3	𝑐1	𝑐1	NOUN
fuelectenerg-11176	193	4	′	′	NUM
fuelectenerg-11176	193	5	=	=	PUNCT
fuelectenerg-11176	193	6	𝑐1	𝑐1	NOUN
fuelectenerg-11176	193	7	.	.	PUNCT
fuelectenerg-11176	194	1	equations	equation	NOUN
fuelectenerg-11176	194	2	(	(	PUNCT
fuelectenerg-11176	194	3	9	9	NUM
fuelectenerg-11176	194	4	)	)	PUNCT
fuelectenerg-11176	194	5	may	may	AUX
fuelectenerg-11176	194	6	be	be	AUX
fuelectenerg-11176	194	7	summarized	summarize	VERB
fuelectenerg-11176	194	8	as	as	SCONJ
fuelectenerg-11176	194	9	follows	follow	VERB
fuelectenerg-11176	194	10	:	:	PUNCT
fuelectenerg-11176	194	11	c1	c1	NOUN
fuelectenerg-11176	194	12	=	=	PROPN
fuelectenerg-11176	194	13	0	0	PROPN
fuelectenerg-11176	194	14	c1	c1	NOUN
fuelectenerg-11176	194	15	=	=	NOUN
fuelectenerg-11176	194	16	1	1	NUM
fuelectenerg-11176	194	17	c2	c2	PROPN
fuelectenerg-11176	194	18	’	'	PUNCT
fuelectenerg-11176	194	19	𝑐3̅	𝑐3̅	PROPN
fuelectenerg-11176	194	20	𝑐2̅	𝑐2̅	PROPN
fuelectenerg-11176	194	21	c3	c3	NOUN
fuelectenerg-11176	194	22	’	'	PUNCT
fuelectenerg-11176	194	23	𝑐2̅	𝑐2̅	PROPN
fuelectenerg-11176	194	24	𝑐3̅	𝑐3̅	NOUN
fuelectenerg-11176	194	25	in	in	ADP
fuelectenerg-11176	194	26	words	word	NOUN
fuelectenerg-11176	194	27	:	:	PUNCT
fuelectenerg-11176	194	28	if	if	SCONJ
fuelectenerg-11176	194	29	c1	c1	PROPN
fuelectenerg-11176	194	30	=	=	PROPN
fuelectenerg-11176	194	31	0	0	PUNCT
fuelectenerg-11176	194	32	then	then	ADV
fuelectenerg-11176	194	33	𝑐2	𝑐2	NOUN
fuelectenerg-11176	194	34	and	and	CCONJ
fuelectenerg-11176	194	35	𝑐3	𝑐3	NOUN
fuelectenerg-11176	194	36	will	will	AUX
fuelectenerg-11176	194	37	be	be	AUX
fuelectenerg-11176	194	38	complemented	complement	VERB
fuelectenerg-11176	194	39	and	and	CCONJ
fuelectenerg-11176	194	40	swapped	swap	VERB
fuelectenerg-11176	194	41	,	,	PUNCT
fuelectenerg-11176	194	42	whereas	whereas	SCONJ
fuelectenerg-11176	194	43	if	if	SCONJ
fuelectenerg-11176	194	44	𝑐1	𝑐1	NOUN
fuelectenerg-11176	194	45	=	=	NOUN
fuelectenerg-11176	194	46	1	1	NUM
fuelectenerg-11176	194	47	,	,	PUNCT
fuelectenerg-11176	194	48	𝑐2	𝑐2	NOUN
fuelectenerg-11176	194	49	and	and	CCONJ
fuelectenerg-11176	194	50	𝑐3	𝑐3	NOUN
fuelectenerg-11176	194	51	will	will	AUX
fuelectenerg-11176	194	52	be	be	AUX
fuelectenerg-11176	194	53	just	just	ADV
fuelectenerg-11176	194	54	complemented	complement	VERB
fuelectenerg-11176	194	55	.	.	PUNCT
fuelectenerg-11176	195	1	equivalent	equivalent	ADJ
fuelectenerg-11176	195	2	circuits	circuit	NOUN
fuelectenerg-11176	195	3	not	not	PART
fuelectenerg-11176	195	4	using	use	VERB
fuelectenerg-11176	195	5	or	or	CCONJ
fuelectenerg-11176	195	6	-	-	PUNCT
fuelectenerg-11176	195	7	fredkin	fredkin	NOUN
fuelectenerg-11176	195	8	variations	variation	NOUN
fuelectenerg-11176	195	9	are	be	AUX
fuelectenerg-11176	195	10	shown	show	VERB
fuelectenerg-11176	195	11	in	in	ADP
fuelectenerg-11176	195	12	fig	fig	NOUN
fuelectenerg-11176	195	13	.	.	PUNCT
fuelectenerg-11176	196	1	16	16	NUM
fuelectenerg-11176	196	2	.	.	PUNCT
fuelectenerg-11176	197	1	it	it	PRON
fuelectenerg-11176	197	2	is	be	AUX
fuelectenerg-11176	197	3	easy	easy	ADJ
fuelectenerg-11176	197	4	to	to	PART
fuelectenerg-11176	197	5	see	see	VERB
fuelectenerg-11176	197	6	that	that	SCONJ
fuelectenerg-11176	197	7	these	these	DET
fuelectenerg-11176	197	8	equivalent	equivalent	ADJ
fuelectenerg-11176	197	9	nct	nct	ADJ
fuelectenerg-11176	197	10	circuits	circuit	NOUN
fuelectenerg-11176	197	11	are	be	AUX
fuelectenerg-11176	197	12	more	more	ADV
fuelectenerg-11176	197	13	complex	complex	ADJ
fuelectenerg-11176	197	14	than	than	ADP
fuelectenerg-11176	197	15	the	the	DET
fuelectenerg-11176	197	16	or	or	CCONJ
fuelectenerg-11176	197	17	-	-	PUNCT
fuelectenerg-11176	197	18	fredkin	fredkin	NOUN
fuelectenerg-11176	197	19	variation	variation	NOUN
fuelectenerg-11176	197	20	.	.	PUNCT
fuelectenerg-11176	198	1	the	the	DET
fuelectenerg-11176	198	2	fredkin	fredkin	NOUN
fuelectenerg-11176	198	3	gate	gate	NOUN
fuelectenerg-11176	198	4	in	in	ADP
fuelectenerg-11176	198	5	reversible	reversible	ADJ
fuelectenerg-11176	198	6	and	and	CCONJ
fuelectenerg-11176	198	7	quantum	quantum	ADJ
fuelectenerg-11176	198	8	environments	environment	NOUN
fuelectenerg-11176	198	9	261	261	NUM
fuelectenerg-11176	198	10	fig	fig	NOUN
fuelectenerg-11176	198	11	.	.	PUNCT
fuelectenerg-11176	199	1	16	16	NUM
fuelectenerg-11176	199	2	equivalent	equivalent	ADJ
fuelectenerg-11176	199	3	nct	nct	ADJ
fuelectenerg-11176	199	4	circuits	circuit	NOUN
fuelectenerg-11176	199	5	for	for	ADP
fuelectenerg-11176	199	6	the	the	DET
fuelectenerg-11176	199	7	or	or	CCONJ
fuelectenerg-11176	199	8	-	-	PUNCT
fuelectenerg-11176	199	9	fredkin	fredkin	NOUN
fuelectenerg-11176	199	10	variation	variation	NOUN
fuelectenerg-11176	199	11	of	of	ADP
fuelectenerg-11176	199	12	fig	fig	NOUN
fuelectenerg-11176	199	13	.	.	PUNCT
fuelectenerg-11176	200	1	15	15	NUM
fuelectenerg-11176	200	2	another	another	DET
fuelectenerg-11176	200	3	variation	variation	NOUN
fuelectenerg-11176	200	4	is	be	AUX
fuelectenerg-11176	200	5	shown	show	VERB
fuelectenerg-11176	200	6	in	in	ADP
fuelectenerg-11176	200	7	fig	fig	NOUN
fuelectenerg-11176	200	8	.	.	PUNCT
fuelectenerg-11176	201	1	17	17	NUM
fuelectenerg-11176	201	2	,	,	PUNCT
fuelectenerg-11176	201	3	where	where	SCONJ
fuelectenerg-11176	201	4	in	in	ADP
fuelectenerg-11176	201	5	analogy	analogy	NOUN
fuelectenerg-11176	201	6	to	to	ADP
fuelectenerg-11176	201	7	the	the	DET
fuelectenerg-11176	201	8	white	white	ADJ
fuelectenerg-11176	201	9	dot	dot	NOUN
fuelectenerg-11176	201	10	,	,	PUNCT
fuelectenerg-11176	201	11	a	a	DET
fuelectenerg-11176	201	12	white	white	ADJ
fuelectenerg-11176	201	13	triangle	triangle	NOUN
fuelectenerg-11176	201	14	is	be	AUX
fuelectenerg-11176	201	15	introduced	introduce	VERB
fuelectenerg-11176	201	16	,	,	PUNCT
fuelectenerg-11176	201	17	meaning	mean	VERB
fuelectenerg-11176	201	18	that	that	SCONJ
fuelectenerg-11176	201	19	the	the	DET
fuelectenerg-11176	201	20	corresponding	correspond	VERB
fuelectenerg-11176	201	21	control	control	NOUN
fuelectenerg-11176	201	22	signal	signal	NOUN
fuelectenerg-11176	201	23	will	will	AUX
fuelectenerg-11176	201	24	be	be	AUX
fuelectenerg-11176	201	25	complemented	complement	VERB
fuelectenerg-11176	201	26	before	before	ADP
fuelectenerg-11176	201	27	calculating	calculate	VERB
fuelectenerg-11176	201	28	the	the	DET
fuelectenerg-11176	201	29	disjunction	disjunction	NOUN
fuelectenerg-11176	201	30	.	.	PUNCT
fuelectenerg-11176	202	1	fig	fig	NOUN
fuelectenerg-11176	202	2	.	.	PUNCT
fuelectenerg-11176	203	1	17	17	NUM
fuelectenerg-11176	203	2	a	a	DET
fuelectenerg-11176	203	3	mixed	mix	VERB
fuelectenerg-11176	203	4	-	-	PUNCT
fuelectenerg-11176	203	5	polarity	polarity	NOUN
fuelectenerg-11176	203	6	or	or	CCONJ
fuelectenerg-11176	203	7	-	-	PUNCT
fuelectenerg-11176	203	8	fredkin	fredkin	NOUN
fuelectenerg-11176	203	9	variation	variation	NOUN
fuelectenerg-11176	203	10	the	the	DET
fuelectenerg-11176	203	11	functionality	functionality	NOUN
fuelectenerg-11176	203	12	of	of	ADP
fuelectenerg-11176	203	13	the	the	DET
fuelectenerg-11176	203	14	building	building	NOUN
fuelectenerg-11176	203	15	block	block	NOUN
fuelectenerg-11176	203	16	of	of	ADP
fuelectenerg-11176	203	17	fig	fig	NOUN
fuelectenerg-11176	203	18	.	.	PUNCT
fuelectenerg-11176	204	1	17	17	NUM
fuelectenerg-11176	204	2	is	be	AUX
fuelectenerg-11176	204	3	given	give	VERB
fuelectenerg-11176	204	4	by	by	ADP
fuelectenerg-11176	204	5	:	:	PUNCT
fuelectenerg-11176	204	6	𝑐3	𝑐3	NOUN
fuelectenerg-11176	204	7	′	′	NUM
fuelectenerg-11176	205	1	=	=	PUNCT
fuelectenerg-11176	206	1	𝑐3	𝑐3	NOUN
fuelectenerg-11176	207	1	⊕	⊕	PROPN
fuelectenerg-11176	208	1	(	(	PUNCT
fuelectenerg-11176	208	2	𝑐1	𝑐1	NOUN
fuelectenerg-11176	208	3	∨	∨	NUM
fuelectenerg-11176	208	4	(	(	PUNCT
fuelectenerg-11176	208	5	𝑐3	𝑐3	NOUN
fuelectenerg-11176	208	6	⊕	⊕	PROPN
fuelectenerg-11176	208	7	𝑐2	𝑐2	NOUN
fuelectenerg-11176	208	8	⊕	⊕	PROPN
fuelectenerg-11176	208	9	1	1	NUM
fuelectenerg-11176	208	10	)	)	PUNCT
fuelectenerg-11176	208	11	)	)	PUNCT
fuelectenerg-11176	209	1	=	=	SYM
fuelectenerg-11176	209	2	𝑐3	𝑐3	NOUN
fuelectenerg-11176	209	3	⊕	⊕	PROPN
fuelectenerg-11176	209	4	𝑐1	𝑐1	NOUN
fuelectenerg-11176	209	5	⊕	⊕	PROPN
fuelectenerg-11176	209	6	𝑐3	𝑐3	VERB
fuelectenerg-11176	209	7	⊕	⊕	PROPN
fuelectenerg-11176	209	8	𝑐2̅	𝑐2̅	PROPN
fuelectenerg-11176	210	1	⊕	⊕	PROPN
fuelectenerg-11176	210	2	𝑐1(𝑐3̅	𝑐1(𝑐3̅	PROPN
fuelectenerg-11176	210	3	⊕	⊕	PROPN
fuelectenerg-11176	210	4	𝑐2	𝑐2	PROPN
fuelectenerg-11176	210	5	)	)	PUNCT
fuelectenerg-11176	211	1	=	=	SYM
fuelectenerg-11176	211	2	𝑐1(𝑐3̅	𝑐1(𝑐3̅	PROPN
fuelectenerg-11176	211	3	⊕	⊕	PROPN
fuelectenerg-11176	211	4	𝑐2̅	𝑐2̅	PROPN
fuelectenerg-11176	211	5	)	)	PUNCT
fuelectenerg-11176	211	6	⊕	⊕	PROPN
fuelectenerg-11176	211	7	𝑐2̅	𝑐2̅	PROPN
fuelectenerg-11176	212	1	=	=	PRON
fuelectenerg-11176	212	2	𝑐1𝑐3̅	𝑐1𝑐3̅	PUNCT
fuelectenerg-11176	213	1	⊕	⊕	PROPN
fuelectenerg-11176	213	2	𝑐1̅𝑐2̅	𝑐1̅𝑐2̅	PROPN
fuelectenerg-11176	213	3	,	,	PUNCT
fuelectenerg-11176	213	4	(	(	PUNCT
fuelectenerg-11176	213	5	10	10	NUM
fuelectenerg-11176	213	6	)	)	PUNCT
fuelectenerg-11176	213	7	𝑐2	𝑐2	NOUN
fuelectenerg-11176	213	8	′	′	NUM
fuelectenerg-11176	213	9	=	=	NOUN
fuelectenerg-11176	213	10	𝑐2	𝑐2	NOUN
fuelectenerg-11176	213	11	⊕	⊕	PROPN
fuelectenerg-11176	213	12	𝑐3	𝑐3	NOUN
fuelectenerg-11176	213	13	⊕	⊕	PROPN
fuelectenerg-11176	213	14	𝑐3	𝑐3	VERB
fuelectenerg-11176	213	15	′	′	NOUN
fuelectenerg-11176	214	1	=	=	SYM
fuelectenerg-11176	214	2	𝑐2	𝑐2	NOUN
fuelectenerg-11176	214	3	⊕	⊕	PROPN
fuelectenerg-11176	214	4	𝑐3	𝑐3	VERB
fuelectenerg-11176	214	5	⊕	⊕	PROPN
fuelectenerg-11176	214	6	𝑐1𝑐3̅	𝑐1𝑐3̅	PUNCT
fuelectenerg-11176	214	7	⊕	⊕	PROPN
fuelectenerg-11176	214	8	𝑐1̅𝑐2̅	𝑐1̅𝑐2̅	NOUN
fuelectenerg-11176	214	9	=	=	PUNCT
fuelectenerg-11176	214	10	𝑐1̅𝑐3̅	𝑐1̅𝑐3̅	PROPN
fuelectenerg-11176	214	11	⊕	⊕	PROPN
fuelectenerg-11176	214	12	𝑐1𝑐2̅	𝑐1𝑐2̅	PROPN
fuelectenerg-11176	214	13	,	,	PUNCT
fuelectenerg-11176	214	14	𝑐1	𝑐1	NOUN
fuelectenerg-11176	214	15	′	′	NUM
fuelectenerg-11176	214	16	=	=	PUNCT
fuelectenerg-11176	215	1	𝑐1	𝑐1	NOUN
fuelectenerg-11176	215	2	.	.	PUNCT
fuelectenerg-11176	216	1	equations	equation	NOUN
fuelectenerg-11176	216	2	(	(	PUNCT
fuelectenerg-11176	216	3	10	10	NUM
fuelectenerg-11176	216	4	)	)	PUNCT
fuelectenerg-11176	216	5	may	may	AUX
fuelectenerg-11176	216	6	be	be	AUX
fuelectenerg-11176	216	7	summarized	summarize	VERB
fuelectenerg-11176	216	8	as	as	SCONJ
fuelectenerg-11176	216	9	follows	follow	VERB
fuelectenerg-11176	216	10	:	:	PUNCT
fuelectenerg-11176	216	11	c1	c1	NOUN
fuelectenerg-11176	216	12	=	=	PROPN
fuelectenerg-11176	216	13	0	0	PROPN
fuelectenerg-11176	216	14	c1	c1	NOUN
fuelectenerg-11176	216	15	=	=	NOUN
fuelectenerg-11176	216	16	1	1	NUM
fuelectenerg-11176	216	17	c2	c2	PROPN
fuelectenerg-11176	216	18	’	'	PUNCT
fuelectenerg-11176	216	19	𝑐3̅	𝑐3̅	PROPN
fuelectenerg-11176	216	20	𝑐2̅	𝑐2̅	PROPN
fuelectenerg-11176	216	21	c3	c3	NOUN
fuelectenerg-11176	216	22	’	'	PUNCT
fuelectenerg-11176	216	23	𝑐2̅	𝑐2̅	PROPN
fuelectenerg-11176	216	24	𝑐3̅	𝑐3̅	NOUN
fuelectenerg-11176	216	25	it	it	PRON
fuelectenerg-11176	216	26	becomes	become	VERB
fuelectenerg-11176	216	27	apparent	apparent	ADJ
fuelectenerg-11176	216	28	that	that	SCONJ
fuelectenerg-11176	216	29	equations	equation	NOUN
fuelectenerg-11176	216	30	(	(	PUNCT
fuelectenerg-11176	216	31	9	9	NUM
fuelectenerg-11176	216	32	)	)	PUNCT
fuelectenerg-11176	216	33	and	and	CCONJ
fuelectenerg-11176	216	34	(	(	PUNCT
fuelectenerg-11176	216	35	10	10	NUM
fuelectenerg-11176	216	36	)	)	PUNCT
fuelectenerg-11176	216	37	are	be	AUX
fuelectenerg-11176	216	38	equal	equal	ADJ
fuelectenerg-11176	216	39	.	.	PUNCT
fuelectenerg-11176	217	1	this	this	PRON
fuelectenerg-11176	217	2	means	mean	VERB
fuelectenerg-11176	217	3	that	that	SCONJ
fuelectenerg-11176	217	4	the	the	DET
fuelectenerg-11176	217	5	corresponding	corresponding	ADJ
fuelectenerg-11176	217	6	or	or	CCONJ
fuelectenerg-11176	217	7	-	-	PUNCT
fuelectenerg-11176	217	8	fredkin	fredkin	NOUN
fuelectenerg-11176	217	9	variations	variation	NOUN
fuelectenerg-11176	217	10	are	be	AUX
fuelectenerg-11176	217	11	equivalent	equivalent	ADJ
fuelectenerg-11176	217	12	.	.	PUNCT
fuelectenerg-11176	218	1	moreover	moreover	ADV
fuelectenerg-11176	218	2	,	,	PUNCT
fuelectenerg-11176	218	3	it	it	PRON
fuelectenerg-11176	218	4	may	may	AUX
fuelectenerg-11176	218	5	be	be	AUX
fuelectenerg-11176	218	6	noticed	notice	VERB
fuelectenerg-11176	218	7	that	that	SCONJ
fuelectenerg-11176	218	8	the	the	DET
fuelectenerg-11176	218	9	distribution	distribution	NOUN
fuelectenerg-11176	218	10	of	of	ADP
fuelectenerg-11176	218	11	“	"	PUNCT
fuelectenerg-11176	218	12	white	white	ADJ
fuelectenerg-11176	218	13	elements	element	NOUN
fuelectenerg-11176	218	14	”	"	PUNCT
fuelectenerg-11176	218	15	in	in	ADP
fuelectenerg-11176	218	16	these	these	DET
fuelectenerg-11176	218	17	variations	variation	NOUN
fuelectenerg-11176	218	18	is	be	AUX
fuelectenerg-11176	218	19	the	the	DET
fuelectenerg-11176	218	20	same	same	ADJ
fuelectenerg-11176	218	21	as	as	ADP
fuelectenerg-11176	218	22	the	the	DET
fuelectenerg-11176	218	23	distribution	distribution	NOUN
fuelectenerg-11176	218	24	of	of	ADP
fuelectenerg-11176	218	25	white	white	ADJ
fuelectenerg-11176	218	26	dots	dot	NOUN
fuelectenerg-11176	218	27	shown	show	VERB
fuelectenerg-11176	218	28	in	in	ADP
fuelectenerg-11176	218	29	fig	fig	NOUN
fuelectenerg-11176	218	30	.	.	PUNCT
fuelectenerg-11176	218	31	4	4	NUM
fuelectenerg-11176	218	32	for	for	ADP
fuelectenerg-11176	218	33	variations	variation	NOUN
fuelectenerg-11176	218	34	of	of	ADP
fuelectenerg-11176	218	35	the	the	DET
fuelectenerg-11176	218	36	classical	classical	ADJ
fuelectenerg-11176	218	37	fredkin	fredkin	NOUN
fuelectenerg-11176	218	38	gate	gate	NOUN
fuelectenerg-11176	218	39	.	.	PUNCT
fuelectenerg-11176	219	1	an	an	DET
fuelectenerg-11176	219	2	additional	additional	ADJ
fuelectenerg-11176	219	3	or	or	CCONJ
fuelectenerg-11176	219	4	-	-	PUNCT
fuelectenerg-11176	219	5	fredkin	fredkin	NOUN
fuelectenerg-11176	219	6	variation	variation	NOUN
fuelectenerg-11176	219	7	is	be	AUX
fuelectenerg-11176	219	8	shown	show	VERB
fuelectenerg-11176	219	9	in	in	ADP
fuelectenerg-11176	219	10	fig	fig	NOUN
fuelectenerg-11176	219	11	.	.	PUNCT
fuelectenerg-11176	220	1	18	18	NUM
fuelectenerg-11176	220	2	.	.	X
fuelectenerg-11176	220	3	fig	fig	NOUN
fuelectenerg-11176	220	4	.	.	PUNCT
fuelectenerg-11176	221	1	18	18	NUM
fuelectenerg-11176	221	2	or	or	CCONJ
fuelectenerg-11176	221	3	-	-	PUNCT
fuelectenerg-11176	221	4	fredkin	fredkin	NOUN
fuelectenerg-11176	221	5	variation	variation	NOUN
fuelectenerg-11176	221	6	the	the	DET
fuelectenerg-11176	221	7	functionality	functionality	NOUN
fuelectenerg-11176	221	8	of	of	ADP
fuelectenerg-11176	221	9	the	the	DET
fuelectenerg-11176	221	10	circuit	circuit	NOUN
fuelectenerg-11176	221	11	is	be	AUX
fuelectenerg-11176	221	12	:	:	PUNCT
fuelectenerg-11176	221	13	𝑐3	𝑐3	NOUN
fuelectenerg-11176	221	14	′	′	NUM
fuelectenerg-11176	221	15	=	=	PUNCT
fuelectenerg-11176	221	16	𝑐3	𝑐3	NOUN
fuelectenerg-11176	221	17	⊕	⊕	PROPN
fuelectenerg-11176	221	18	(	(	PUNCT
fuelectenerg-11176	221	19	𝑐1	𝑐1	NOUN
fuelectenerg-11176	221	20	∨	∨	NUM
fuelectenerg-11176	221	21	(	(	PUNCT
fuelectenerg-11176	221	22	𝑐2	𝑐2	NOUN
fuelectenerg-11176	221	23	⊕	⊕	NOUN
fuelectenerg-11176	221	24	𝑐3̅	𝑐3̅	NUM
fuelectenerg-11176	221	25	)	)	PUNCT
fuelectenerg-11176	221	26	)	)	PUNCT
fuelectenerg-11176	222	1	=	=	PUNCT
fuelectenerg-11176	222	2	𝑐3	𝑐3	NOUN
fuelectenerg-11176	222	3	⊕	⊕	PROPN
fuelectenerg-11176	222	4	𝑐1	𝑐1	NOUN
fuelectenerg-11176	222	5	⊕	⊕	PROPN
fuelectenerg-11176	222	6	𝑐2	𝑐2	PROPN
fuelectenerg-11176	222	7	⊕	⊕	PROPN
fuelectenerg-11176	222	8	𝑐3̅	𝑐3̅	PROPN
fuelectenerg-11176	222	9	⊕	⊕	PROPN
fuelectenerg-11176	222	10	𝑐1(𝑐2	𝑐1(𝑐2	ADP
fuelectenerg-11176	222	11	⊕	⊕	PROPN
fuelectenerg-11176	222	12	𝑐3̅	𝑐3̅	NOUN
fuelectenerg-11176	222	13	)	)	PUNCT
fuelectenerg-11176	222	14	=	=	SYM
fuelectenerg-11176	223	1	=	=	SYM
fuelectenerg-11176	223	2	1	1	NUM
fuelectenerg-11176	223	3	⊕	⊕	PROPN
fuelectenerg-11176	223	4	𝑐1	𝑐1	NOUN
fuelectenerg-11176	223	5	⊕	⊕	PROPN
fuelectenerg-11176	223	6	𝑐2	𝑐2	PROPN
fuelectenerg-11176	223	7	⊕	⊕	PROPN
fuelectenerg-11176	223	8	𝑐1𝑐2	𝑐1𝑐2	PROPN
fuelectenerg-11176	223	9	⊕	⊕	PROPN
fuelectenerg-11176	223	10	𝑐1𝑐3̅	𝑐1𝑐3̅	PUNCT
fuelectenerg-11176	223	11	=	=	PUNCT
fuelectenerg-11176	223	12	𝑐1𝑐3	𝑐1𝑐3	X
fuelectenerg-11176	223	13	⊕	⊕	NUM
fuelectenerg-11176	223	14	𝑐1̅𝑐2	𝑐1̅𝑐2	NOUN
fuelectenerg-11176	224	1	⊕	⊕	PROPN
fuelectenerg-11176	224	2	1	1	NUM
fuelectenerg-11176	224	3	,	,	PUNCT
fuelectenerg-11176	224	4	(	(	PUNCT
fuelectenerg-11176	224	5	11	11	NUM
fuelectenerg-11176	224	6	)	)	PUNCT
fuelectenerg-11176	224	7	𝑐2	𝑐2	NOUN
fuelectenerg-11176	224	8	′	′	NUM
fuelectenerg-11176	224	9	=	=	NOUN
fuelectenerg-11176	224	10	𝑐2	𝑐2	NOUN
fuelectenerg-11176	224	11	⊕	⊕	PROPN
fuelectenerg-11176	224	12	𝑐3	𝑐3	NOUN
fuelectenerg-11176	224	13	⊕	⊕	PROPN
fuelectenerg-11176	224	14	𝑐3	𝑐3	NOUN
fuelectenerg-11176	224	15	′	′	NUM
fuelectenerg-11176	225	1	⊕	⊕	NOUN
fuelectenerg-11176	225	2	1	1	NUM
fuelectenerg-11176	225	3	=	=	NOUN
fuelectenerg-11176	225	4	𝑐2	𝑐2	NOUN
fuelectenerg-11176	225	5	⊕	⊕	PROPN
fuelectenerg-11176	225	6	𝑐3	𝑐3	VERB
fuelectenerg-11176	225	7	⊕	⊕	PROPN
fuelectenerg-11176	225	8	𝑐1𝑐3	𝑐1𝑐3	X
fuelectenerg-11176	225	9	⊕	⊕	NUM
fuelectenerg-11176	225	10	𝑐1̅𝑐2	𝑐1̅𝑐2	PUNCT
fuelectenerg-11176	226	1	=	=	PUNCT
fuelectenerg-11176	226	2	𝑐1𝑐2	𝑐1𝑐2	PROPN
fuelectenerg-11176	226	3	⊕	⊕	PROPN
fuelectenerg-11176	226	4	𝑐1̅𝑐3	𝑐1̅𝑐3	NOUN
fuelectenerg-11176	226	5	,	,	PUNCT
fuelectenerg-11176	226	6	𝑐1	𝑐1	NOUN
fuelectenerg-11176	226	7	′	′	NUM
fuelectenerg-11176	226	8	=	=	PUNCT
fuelectenerg-11176	227	1	𝑐1	𝑐1	NOUN
fuelectenerg-11176	227	2	.	.	PUNCT
fuelectenerg-11176	228	1	262	262	NUM
fuelectenerg-11176	228	2	c.	c.	PROPN
fuelectenerg-11176	228	3	moraga	moraga	PROPN
fuelectenerg-11176	228	4	,	,	PUNCT
fuelectenerg-11176	228	5	f.	f.	PROPN
fuelectenerg-11176	228	6	z.	z.	PROPN
fuelectenerg-11176	228	7	hadjam	hadjam	PROPN
fuelectenerg-11176	228	8	equations	equation	NOUN
fuelectenerg-11176	228	9	(	(	PUNCT
fuelectenerg-11176	228	10	11	11	NUM
fuelectenerg-11176	228	11	)	)	PUNCT
fuelectenerg-11176	228	12	may	may	AUX
fuelectenerg-11176	228	13	be	be	AUX
fuelectenerg-11176	228	14	summarized	summarize	VERB
fuelectenerg-11176	228	15	as	as	SCONJ
fuelectenerg-11176	228	16	follows	follow	VERB
fuelectenerg-11176	228	17	:	:	PUNCT
fuelectenerg-11176	228	18	c1	c1	NOUN
fuelectenerg-11176	228	19	=	=	PROPN
fuelectenerg-11176	228	20	0	0	PROPN
fuelectenerg-11176	228	21	c1	c1	NOUN
fuelectenerg-11176	228	22	=	=	NOUN
fuelectenerg-11176	228	23	1	1	NUM
fuelectenerg-11176	228	24	c2	c2	PROPN
fuelectenerg-11176	228	25	’	'	PUNCT
fuelectenerg-11176	228	26	𝑐3	𝑐3	VERB
fuelectenerg-11176	228	27	𝑐2	𝑐2	PROPN
fuelectenerg-11176	228	28	c3	c3	PROPN
fuelectenerg-11176	228	29	’	'	PUNCT
fuelectenerg-11176	228	30	𝑐2̅	𝑐2̅	PROPN
fuelectenerg-11176	228	31	𝑐3̅	𝑐3̅	NOUN
fuelectenerg-11176	228	32	it	it	PRON
fuelectenerg-11176	228	33	may	may	AUX
fuelectenerg-11176	228	34	be	be	AUX
fuelectenerg-11176	228	35	seen	see	VERB
fuelectenerg-11176	228	36	,	,	PUNCT
fuelectenerg-11176	228	37	that	that	PRON
fuelectenerg-11176	228	38	eqs	eqs	X
fuelectenerg-11176	228	39	.	.	PUNCT
fuelectenerg-11176	229	1	(	(	PUNCT
fuelectenerg-11176	229	2	7	7	NUM
fuelectenerg-11176	229	3	)	)	PUNCT
fuelectenerg-11176	229	4	and	and	CCONJ
fuelectenerg-11176	229	5	(	(	PUNCT
fuelectenerg-11176	229	6	11	11	NUM
fuelectenerg-11176	229	7	)	)	PUNCT
fuelectenerg-11176	229	8	are	be	AUX
fuelectenerg-11176	229	9	equal	equal	ADJ
fuelectenerg-11176	229	10	.	.	PUNCT
fuelectenerg-11176	230	1	therefore	therefore	ADV
fuelectenerg-11176	230	2	,	,	PUNCT
fuelectenerg-11176	230	3	the	the	DET
fuelectenerg-11176	230	4	corresponding	corresponding	ADJ
fuelectenerg-11176	230	5	fredkin	fredkin	NOUN
fuelectenerg-11176	230	6	variations	variation	NOUN
fuelectenerg-11176	230	7	are	be	AUX
fuelectenerg-11176	230	8	equivalent	equivalent	ADJ
fuelectenerg-11176	230	9	.	.	PUNCT
fuelectenerg-11176	231	1	they	they	PRON
fuelectenerg-11176	231	2	have	have	VERB
fuelectenerg-11176	231	3	the	the	DET
fuelectenerg-11176	231	4	same	same	ADJ
fuelectenerg-11176	231	5	distribution	distribution	NOUN
fuelectenerg-11176	231	6	of	of	ADP
fuelectenerg-11176	231	7	white	white	ADJ
fuelectenerg-11176	231	8	elements	element	NOUN
fuelectenerg-11176	231	9	as	as	ADP
fuelectenerg-11176	231	10	the	the	DET
fuelectenerg-11176	231	11	variations	variation	NOUN
fuelectenerg-11176	231	12	shown	show	VERB
fuelectenerg-11176	231	13	in	in	ADP
fuelectenerg-11176	231	14	fig	fig	NOUN
fuelectenerg-11176	231	15	.	.	PUNCT
fuelectenerg-11176	232	1	8	8	X
fuelectenerg-11176	232	2	.	.	PUNCT
fuelectenerg-11176	233	1	the	the	DET
fuelectenerg-11176	233	2	comparison	comparison	NOUN
fuelectenerg-11176	233	3	is	be	AUX
fuelectenerg-11176	233	4	shown	show	VERB
fuelectenerg-11176	233	5	in	in	ADP
fuelectenerg-11176	233	6	fig	fig	NOUN
fuelectenerg-11176	233	7	.	.	PUNCT
fuelectenerg-11176	234	1	19	19	NUM
fuelectenerg-11176	234	2	.	.	X
fuelectenerg-11176	234	3	fig	fig	NOUN
fuelectenerg-11176	234	4	.	.	PUNCT
fuelectenerg-11176	235	1	19	19	NUM
fuelectenerg-11176	235	2	pairs	pair	NOUN
fuelectenerg-11176	235	3	of	of	ADP
fuelectenerg-11176	235	4	equivalent	equivalent	ADJ
fuelectenerg-11176	235	5	fredkin	fredkin	NOUN
fuelectenerg-11176	235	6	variations	variation	NOUN
fuelectenerg-11176	235	7	3	3	NUM
fuelectenerg-11176	235	8	.	.	PUNCT
fuelectenerg-11176	236	1	the	the	DET
fuelectenerg-11176	236	2	quantum	quantum	ADJ
fuelectenerg-11176	236	3	domain	domain	NOUN
fuelectenerg-11176	236	4	in	in	ADP
fuelectenerg-11176	236	5	the	the	DET
fuelectenerg-11176	236	6	domain	domain	NOUN
fuelectenerg-11176	236	7	of	of	ADP
fuelectenerg-11176	236	8	circuits	circuit	NOUN
fuelectenerg-11176	236	9	for	for	ADP
fuelectenerg-11176	236	10	quantum	quantum	NOUN
fuelectenerg-11176	236	11	computing	computing	NOUN
fuelectenerg-11176	236	12	,	,	PUNCT
fuelectenerg-11176	236	13	the	the	DET
fuelectenerg-11176	236	14	fredkin	fredkin	NOUN
fuelectenerg-11176	236	15	gate	gate	NOUN
fuelectenerg-11176	236	16	is	be	AUX
fuelectenerg-11176	236	17	not	not	PART
fuelectenerg-11176	236	18	known	know	VERB
fuelectenerg-11176	236	19	under	under	ADP
fuelectenerg-11176	236	20	this	this	DET
fuelectenerg-11176	236	21	name	name	NOUN
fuelectenerg-11176	236	22	,	,	PUNCT
fuelectenerg-11176	236	23	but	but	CCONJ
fuelectenerg-11176	236	24	as	as	ADP
fuelectenerg-11176	236	25	“	"	PUNCT
fuelectenerg-11176	236	26	controlled	control	VERB
fuelectenerg-11176	236	27	swap	swap	NOUN
fuelectenerg-11176	236	28	”	"	PUNCT
fuelectenerg-11176	236	29	,	,	PUNCT
fuelectenerg-11176	236	30	possibly	possibly	ADV
fuelectenerg-11176	236	31	because	because	SCONJ
fuelectenerg-11176	236	32	in	in	ADP
fuelectenerg-11176	236	33	the	the	DET
fuelectenerg-11176	236	34	case	case	NOUN
fuelectenerg-11176	236	35	of	of	ADP
fuelectenerg-11176	236	36	quantum	quantum	ADJ
fuelectenerg-11176	236	37	circuits	circuit	NOUN
fuelectenerg-11176	236	38	there	there	PRON
fuelectenerg-11176	236	39	is	be	VERB
fuelectenerg-11176	236	40	a	a	DET
fuelectenerg-11176	236	41	very	very	ADV
fuelectenerg-11176	236	42	simple	simple	ADJ
fuelectenerg-11176	236	43	symbol	symbol	NOUN
fuelectenerg-11176	236	44	for	for	ADP
fuelectenerg-11176	236	45	the	the	DET
fuelectenerg-11176	236	46	swap	swap	NOUN
fuelectenerg-11176	236	47	of	of	ADP
fuelectenerg-11176	236	48	two	two	NUM
fuelectenerg-11176	236	49	“	"	PUNCT
fuelectenerg-11176	236	50	qubits	qubit	NOUN
fuelectenerg-11176	236	51	”	"	PUNCT
fuelectenerg-11176	236	52	(=	(=	NOUN
fuelectenerg-11176	236	53	quantum	quantum	NOUN
fuelectenerg-11176	236	54	bits	bit	NOUN
fuelectenerg-11176	236	55	)	)	PUNCT
fuelectenerg-11176	236	56	.	.	PUNCT
fuelectenerg-11176	237	1	(	(	PUNCT
fuelectenerg-11176	237	2	see	see	VERB
fuelectenerg-11176	237	3	fig	fig	NOUN
fuelectenerg-11176	237	4	.	.	PUNCT
fuelectenerg-11176	237	5	19	19	NUM
fuelectenerg-11176	237	6	)	)	PUNCT
fuelectenerg-11176	237	7	.	.	PUNCT
fuelectenerg-11176	238	1	without	without	ADP
fuelectenerg-11176	238	2	knowing	know	VERB
fuelectenerg-11176	238	3	whether	whether	SCONJ
fuelectenerg-11176	238	4	in	in	ADP
fuelectenerg-11176	238	5	some	some	DET
fuelectenerg-11176	238	6	“	"	PUNCT
fuelectenerg-11176	238	7	quantum	quantum	ADJ
fuelectenerg-11176	238	8	technology	technology	NOUN
fuelectenerg-11176	238	9	”	"	PUNCT
fuelectenerg-11176	238	10	the	the	DET
fuelectenerg-11176	238	11	controlled	control	VERB
fuelectenerg-11176	238	12	swap	swap	NOUN
fuelectenerg-11176	238	13	is	be	AUX
fuelectenerg-11176	238	14	also	also	ADV
fuelectenerg-11176	238	15	realized	realize	VERB
fuelectenerg-11176	238	16	as	as	ADP
fuelectenerg-11176	238	17	in	in	ADP
fuelectenerg-11176	238	18	the	the	DET
fuelectenerg-11176	238	19	reversible	reversible	ADJ
fuelectenerg-11176	238	20	domain	domain	NOUN
fuelectenerg-11176	238	21	,	,	PUNCT
fuelectenerg-11176	238	22	i.e.	i.e.	X
fuelectenerg-11176	238	23	cnot	cnot	X
fuelectenerg-11176	238	24	-	-	PUNCT
fuelectenerg-11176	238	25	toffoli	toffoli	NOUN
fuelectenerg-11176	238	26	-	-	PUNCT
fuelectenerg-11176	238	27	cnot	cnot	NOUN
fuelectenerg-11176	238	28	,	,	PUNCT
fuelectenerg-11176	238	29	no	no	DET
fuelectenerg-11176	238	30	variations	variation	NOUN
fuelectenerg-11176	238	31	as	as	SCONJ
fuelectenerg-11176	238	32	presented	present	VERB
fuelectenerg-11176	238	33	in	in	ADP
fuelectenerg-11176	238	34	the	the	DET
fuelectenerg-11176	238	35	former	former	ADJ
fuelectenerg-11176	238	36	section	section	NOUN
fuelectenerg-11176	238	37	will	will	AUX
fuelectenerg-11176	238	38	be	be	AUX
fuelectenerg-11176	238	39	discussed	discuss	VERB
fuelectenerg-11176	238	40	.	.	PUNCT
fuelectenerg-11176	239	1	however	however	ADV
fuelectenerg-11176	239	2	,	,	PUNCT
fuelectenerg-11176	239	3	some	some	DET
fuelectenerg-11176	239	4	changes	change	NOUN
fuelectenerg-11176	239	5	in	in	ADP
fuelectenerg-11176	239	6	the	the	DET
fuelectenerg-11176	239	7	surroundings	surrounding	NOUN
fuelectenerg-11176	239	8	of	of	ADP
fuelectenerg-11176	239	9	the	the	DET
fuelectenerg-11176	239	10	controlled	control	VERB
fuelectenerg-11176	239	11	swap	swap	NOUN
fuelectenerg-11176	239	12	may	may	AUX
fuelectenerg-11176	239	13	be	be	AUX
fuelectenerg-11176	239	14	considered	consider	VERB
fuelectenerg-11176	239	15	.	.	PUNCT
fuelectenerg-11176	240	1	a	a	DET
fuelectenerg-11176	240	2	relevant	relevant	ADJ
fuelectenerg-11176	240	3	example	example	NOUN
fuelectenerg-11176	240	4	of	of	ADP
fuelectenerg-11176	240	5	an	an	DET
fuelectenerg-11176	240	6	effective	effective	ADJ
fuelectenerg-11176	240	7	use	use	NOUN
fuelectenerg-11176	240	8	of	of	ADP
fuelectenerg-11176	240	9	the	the	DET
fuelectenerg-11176	240	10	controlled	control	VERB
fuelectenerg-11176	240	11	swap	swap	NOUN
fuelectenerg-11176	240	12	was	be	AUX
fuelectenerg-11176	240	13	introduced	introduce	VERB
fuelectenerg-11176	240	14	in	in	ADP
fuelectenerg-11176	240	15	[	[	X
fuelectenerg-11176	240	16	3	3	NUM
fuelectenerg-11176	240	17	]	]	PUNCT
fuelectenerg-11176	240	18	to	to	PART
fuelectenerg-11176	240	19	efficiently	efficiently	ADV
fuelectenerg-11176	240	20	determine	determine	VERB
fuelectenerg-11176	240	21	whether	whether	SCONJ
fuelectenerg-11176	240	22	two	two	NUM
fuelectenerg-11176	240	23	qubits	qubit	NOUN
fuelectenerg-11176	240	24	are	be	AUX
fuelectenerg-11176	240	25	equal	equal	ADJ
fuelectenerg-11176	240	26	or	or	CCONJ
fuelectenerg-11176	240	27	have	have	VERB
fuelectenerg-11176	240	28	an	an	DET
fuelectenerg-11176	240	29	inner	inner	ADJ
fuelectenerg-11176	240	30	product	product	NOUN
fuelectenerg-11176	240	31	with	with	ADP
fuelectenerg-11176	240	32	absolute	absolute	ADJ
fuelectenerg-11176	240	33	value	value	NOUN
fuelectenerg-11176	240	34	≥	≥	NOUN
fuelectenerg-11176	241	1			NOUN
fuelectenerg-11176	241	2	a	a	DET
fuelectenerg-11176	241	3	threshold	threshold	NOUN
fuelectenerg-11176	241	4	in	in	ADP
fuelectenerg-11176	241	5	[	[	X
fuelectenerg-11176	241	6	0	0	NUM
fuelectenerg-11176	241	7	,	,	PUNCT
fuelectenerg-11176	241	8	1	1	NUM
fuelectenerg-11176	241	9	]	]	PUNCT
fuelectenerg-11176	241	10	.	.	PUNCT
fuelectenerg-11176	242	1	(	(	PUNCT
fuelectenerg-11176	242	2	see	see	VERB
fuelectenerg-11176	242	3	fig	fig	NOUN
fuelectenerg-11176	242	4	.	.	PUNCT
fuelectenerg-11176	242	5	20	20	NUM
fuelectenerg-11176	242	6	)	)	PUNCT
fuelectenerg-11176	242	7	.	.	PUNCT
fuelectenerg-11176	243	1	a	a	DET
fuelectenerg-11176	243	2	detailed	detailed	ADJ
fuelectenerg-11176	243	3	analysis	analysis	NOUN
fuelectenerg-11176	243	4	follows	follow	VERB
fuelectenerg-11176	243	5	.	.	PUNCT
fuelectenerg-11176	244	1	in	in	ADP
fuelectenerg-11176	244	2	the	the	DET
fuelectenerg-11176	244	3	dirac	dirac	NOUN
fuelectenerg-11176	244	4	notation	notation	NOUN
fuelectenerg-11176	244	5	[	[	X
fuelectenerg-11176	244	6	16	16	NUM
fuelectenerg-11176	244	7	]	]	PUNCT
fuelectenerg-11176	244	8	,	,	PUNCT
fuelectenerg-11176	244	9	let	let	VERB
fuelectenerg-11176	244	10	|0	|0	NUM
fuelectenerg-11176	244	11	〉	〉	NOUN
fuelectenerg-11176	244	12	and	and	CCONJ
fuelectenerg-11176	244	13	|1	|1	DET
fuelectenerg-11176	244	14	〉	〉	NOUN
fuelectenerg-11176	244	15	be	be	VERB
fuelectenerg-11176	244	16	the	the	DET
fuelectenerg-11176	244	17	basis	basis	NOUN
fuelectenerg-11176	244	18	states	state	NOUN
fuelectenerg-11176	244	19	of	of	ADP
fuelectenerg-11176	244	20	the	the	DET
fuelectenerg-11176	244	21	working	work	VERB
fuelectenerg-11176	244	22	hilbert	hilbert	NOUN
fuelectenerg-11176	244	23	space	space	NOUN
fuelectenerg-11176	245	1	[	[	X
fuelectenerg-11176	245	2	16	16	NUM
fuelectenerg-11176	245	3	]	]	PUNCT
fuelectenerg-11176	245	4	.	.	PUNCT
fuelectenerg-11176	246	1	let	let	VERB
fuelectenerg-11176	246	2	|	|	NUM
fuelectenerg-11176	246	3	〉	〉	NOUN
fuelectenerg-11176	246	4	denote	denote	VERB
fuelectenerg-11176	246	5	the	the	DET
fuelectenerg-11176	246	6	state	state	NOUN
fuelectenerg-11176	246	7	of	of	ADP
fuelectenerg-11176	246	8	a	a	DET
fuelectenerg-11176	246	9	control	control	NOUN
fuelectenerg-11176	246	10	qubit	qubit	NOUN
fuelectenerg-11176	246	11	and	and	CCONJ
fuelectenerg-11176	246	12	let	let	VERB
fuelectenerg-11176	246	13	h	h	NOUN
fuelectenerg-11176	246	14	denote	denote	VERB
fuelectenerg-11176	246	15	the	the	DET
fuelectenerg-11176	246	16	hadamard	hadamard	PROPN
fuelectenerg-11176	246	17	gate	gate	NOUN
fuelectenerg-11176	246	18	𝟏	𝟏	PROPN
fuelectenerg-11176	246	19	√𝟐	√𝟐	PROPN
fuelectenerg-11176	246	20	[	[	PUNCT
fuelectenerg-11176	246	21	𝟏	𝟏	NUM
fuelectenerg-11176	246	22	𝟏	𝟏	NUM
fuelectenerg-11176	246	23	𝟏	𝟏	NUM
fuelectenerg-11176	246	24	−𝟏	−𝟏	NOUN
fuelectenerg-11176	246	25	]	]	X
fuelectenerg-11176	246	26	.	.	PUNCT
fuelectenerg-11176	247	1	if	if	SCONJ
fuelectenerg-11176	247	2	|	|	NOUN
fuelectenerg-11176	247	3	〉	〉	NOUN
fuelectenerg-11176	247	4	=	=	SYM
fuelectenerg-11176	247	5	|0	|0	NUM
fuelectenerg-11176	247	6	〉	〉	NOUN
fuelectenerg-11176	247	7	=	=	PUNCT
fuelectenerg-11176	247	8	[	[	PUNCT
fuelectenerg-11176	247	9	1	1	NUM
fuelectenerg-11176	247	10	0	0	NUM
fuelectenerg-11176	247	11	]	]	X
fuelectenerg-11176	247	12	t	t	X
fuelectenerg-11176	247	13	(	(	PUNCT
fuelectenerg-11176	247	14	in	in	ADP
fuelectenerg-11176	247	15	the	the	DET
fuelectenerg-11176	247	16	vector	vector	NOUN
fuelectenerg-11176	247	17	notation	notation	NOUN
fuelectenerg-11176	247	18	)	)	PUNCT
fuelectenerg-11176	247	19	,	,	PUNCT
fuelectenerg-11176	247	20	then	then	ADV
fuelectenerg-11176	247	21	:	:	PUNCT
fuelectenerg-11176	247	22	𝑯|0	𝑯|0	VERB
fuelectenerg-11176	247	23	〉	〉	NOUN
fuelectenerg-11176	247	24	=	=	SYM
fuelectenerg-11176	247	25	𝟏	𝟏	NUM
fuelectenerg-11176	247	26	√𝟐	√𝟐	PROPN
fuelectenerg-11176	248	1	[	[	X
fuelectenerg-11176	248	2	1	1	NUM
fuelectenerg-11176	248	3	1	1	NUM
fuelectenerg-11176	248	4	1	1	NUM
fuelectenerg-11176	248	5	−1	−1	NOUN
fuelectenerg-11176	248	6	]	]	PUNCT
fuelectenerg-11176	248	7	.	.	PUNCT
fuelectenerg-11176	249	1	[	[	PUNCT
fuelectenerg-11176	249	2	1	1	NUM
fuelectenerg-11176	249	3	0	0	NUM
fuelectenerg-11176	249	4	]	]	PUNCT
fuelectenerg-11176	249	5	=	=	SYM
fuelectenerg-11176	249	6	𝟏	𝟏	NUM
fuelectenerg-11176	249	7	√𝟐	√𝟐	PROPN
fuelectenerg-11176	249	8	[	[	PUNCT
fuelectenerg-11176	249	9	1	1	NUM
fuelectenerg-11176	249	10	1	1	NUM
fuelectenerg-11176	249	11	]	]	PUNCT
fuelectenerg-11176	249	12	=	=	SYM
fuelectenerg-11176	249	13	𝟏	𝟏	X
fuelectenerg-11176	249	14	√𝟐	√𝟐	PROPN
fuelectenerg-11176	249	15	(	(	PUNCT
fuelectenerg-11176	249	16	|0⟩	|0⟩	NOUN
fuelectenerg-11176	249	17	+	+	CCONJ
fuelectenerg-11176	249	18	|1⟩	|1⟩	ADJ
fuelectenerg-11176	249	19	)	)	PUNCT
fuelectenerg-11176	249	20	.	.	PUNCT
fuelectenerg-11176	250	1	(	(	PUNCT
fuelectenerg-11176	250	2	12	12	NUM
fuelectenerg-11176	250	3	)	)	PUNCT
fuelectenerg-11176	250	4	this	this	PRON
fuelectenerg-11176	250	5	represents	represent	VERB
fuelectenerg-11176	250	6	a	a	DET
fuelectenerg-11176	250	7	superposition	superposition	NOUN
fuelectenerg-11176	250	8	of	of	ADP
fuelectenerg-11176	250	9	states	state	NOUN
fuelectenerg-11176	250	10	and	and	CCONJ
fuelectenerg-11176	250	11	a	a	DET
fuelectenerg-11176	250	12	quantum	quantum	NOUN
fuelectenerg-11176	250	13	circuit	circuit	NOUN
fuelectenerg-11176	250	14	will	will	AUX
fuelectenerg-11176	250	15	work	work	VERB
fuelectenerg-11176	250	16	in	in	ADP
fuelectenerg-11176	250	17	both	both	DET
fuelectenerg-11176	250	18	states	state	NOUN
fuelectenerg-11176	250	19	simultaneously	simultaneously	ADV
fuelectenerg-11176	250	20	,	,	PUNCT
fuelectenerg-11176	250	21	which	which	PRON
fuelectenerg-11176	250	22	is	be	AUX
fuelectenerg-11176	250	23	one	one	NUM
fuelectenerg-11176	250	24	of	of	ADP
fuelectenerg-11176	250	25	the	the	DET
fuelectenerg-11176	250	26	main	main	ADJ
fuelectenerg-11176	250	27	characteristics	characteristic	NOUN
fuelectenerg-11176	250	28	of	of	ADP
fuelectenerg-11176	250	29	circuits	circuit	NOUN
fuelectenerg-11176	250	30	for	for	ADP
fuelectenerg-11176	250	31	quantum	quantum	NOUN
fuelectenerg-11176	250	32	computing	computing	NOUN
fuelectenerg-11176	250	33	.	.	PUNCT
fuelectenerg-11176	251	1	fig	fig	NOUN
fuelectenerg-11176	251	2	.	.	PUNCT
fuelectenerg-11176	252	1	20	20	NUM
fuelectenerg-11176	252	2	circuit	circuit	NOUN
fuelectenerg-11176	252	3	to	to	PART
fuelectenerg-11176	252	4	compare	compare	VERB
fuelectenerg-11176	252	5	two	two	NUM
fuelectenerg-11176	252	6	qubits	qubit	NOUN
fuelectenerg-11176	252	7	,	,	PUNCT
fuelectenerg-11176	252	8	in	in	ADP
fuelectenerg-11176	252	9	the	the	DET
fuelectenerg-11176	252	10	dotted	dotted	PROPN
fuelectenerg-11176	252	11	box	box	NOUN
fuelectenerg-11176	252	12	,	,	PUNCT
fuelectenerg-11176	252	13	the	the	DET
fuelectenerg-11176	252	14	symbol	symbol	NOUN
fuelectenerg-11176	252	15	for	for	ADP
fuelectenerg-11176	252	16	the	the	DET
fuelectenerg-11176	252	17	controlled	control	VERB
fuelectenerg-11176	252	18	swap	swap	NOUN
fuelectenerg-11176	252	19	the	the	DET
fuelectenerg-11176	252	20	fredkin	fredkin	NOUN
fuelectenerg-11176	252	21	gate	gate	NOUN
fuelectenerg-11176	252	22	in	in	ADP
fuelectenerg-11176	252	23	reversible	reversible	ADJ
fuelectenerg-11176	252	24	and	and	CCONJ
fuelectenerg-11176	252	25	quantum	quantum	ADJ
fuelectenerg-11176	252	26	environments	environment	NOUN
fuelectenerg-11176	252	27	263	263	NUM
fuelectenerg-11176	252	28	at	at	ADP
fuelectenerg-11176	252	29	the	the	DET
fuelectenerg-11176	252	30	output	output	NOUN
fuelectenerg-11176	252	31	side	side	NOUN
fuelectenerg-11176	252	32	the	the	DET
fuelectenerg-11176	252	33	circuit	circuit	NOUN
fuelectenerg-11176	252	34	of	of	ADP
fuelectenerg-11176	252	35	fig	fig	NOUN
fuelectenerg-11176	252	36	.	.	PUNCT
fuelectenerg-11176	252	37	20	20	NUM
fuelectenerg-11176	252	38	,	,	PUNCT
fuelectenerg-11176	252	39	produces	produce	VERB
fuelectenerg-11176	252	40	(	(	PUNCT
fuelectenerg-11176	252	41	h	h	NOUN
fuelectenerg-11176	252	42	⊗	⊗	PROPN
fuelectenerg-11176	252	43	i4)(c	i4)(c	PROPN
fuelectenerg-11176	252	44	swap)(h	swap)(h	PROPN
fuelectenerg-11176	252	45	⊗	⊗	PROPN
fuelectenerg-11176	252	46	i4	i4	PROPN
fuelectenerg-11176	252	47	)	)	PUNCT
fuelectenerg-11176	252	48	|0〉|〉	|0〉|〉	NUM
fuelectenerg-11176	252	49	〉	〉	NOUN
fuelectenerg-11176	252	50	,	,	PUNCT
fuelectenerg-11176	252	51	(	(	PUNCT
fuelectenerg-11176	252	52	13	13	NUM
fuelectenerg-11176	252	53	)	)	PUNCT
fuelectenerg-11176	252	54	where	where	SCONJ
fuelectenerg-11176	252	55	i4	i4	PROPN
fuelectenerg-11176	252	56	represents	represent	VERB
fuelectenerg-11176	252	57	the	the	DET
fuelectenerg-11176	252	58	4⨯4	4⨯4	NUM
fuelectenerg-11176	252	59	identity	identity	NOUN
fuelectenerg-11176	252	60	matrix	matrix	NOUN
fuelectenerg-11176	252	61	.	.	PUNCT
fuelectenerg-11176	253	1	lemma	lemma	PROPN
fuelectenerg-11176	253	2	1	1	NUM
fuelectenerg-11176	253	3	:	:	PUNCT
fuelectenerg-11176	253	4	the	the	DET
fuelectenerg-11176	253	5	output	output	NOUN
fuelectenerg-11176	253	6	of	of	ADP
fuelectenerg-11176	253	7	the	the	DET
fuelectenerg-11176	253	8	circuit	circuit	NOUN
fuelectenerg-11176	253	9	of	of	ADP
fuelectenerg-11176	253	10	fig	fig	NOUN
fuelectenerg-11176	253	11	.	.	PUNCT
fuelectenerg-11176	254	1	20	20	NUM
fuelectenerg-11176	254	2	is	be	AUX
fuelectenerg-11176	254	3	given	give	VERB
fuelectenerg-11176	254	4	by	by	ADP
fuelectenerg-11176	254	5	:	:	PUNCT
fuelectenerg-11176	254	6	(	(	PUNCT
fuelectenerg-11176	254	7	1/2	1/2	NUM
fuelectenerg-11176	254	8	)	)	PUNCT
fuelectenerg-11176	254	9	[	[	PUNCT
fuelectenerg-11176	254	10	|0〉(|〉	|0〉(|〉	X
fuelectenerg-11176	254	11	〉	〉	NOUN
fuelectenerg-11176	254	12	+	+	CCONJ
fuelectenerg-11176	254	13	〉|	〉|	NOUN
fuelectenerg-11176	254	14	〉	〉	NOUN
fuelectenerg-11176	254	15	)	)	PUNCT
fuelectenerg-11176	254	16	+	+	CCONJ
fuelectenerg-11176	254	17	|1〉(|〉	|1〉(|〉	ADJ
fuelectenerg-11176	254	18	〉	〉	NOUN
fuelectenerg-11176	254	19	–	–	PUNCT
fuelectenerg-11176	254	20	〉|	〉|	NOUN
fuelectenerg-11176	254	21	〉	〉	NOUN
fuelectenerg-11176	254	22	)	)	PUNCT
fuelectenerg-11176	254	23	]	]	PUNCT
fuelectenerg-11176	254	24	.	.	PUNCT
fuelectenerg-11176	255	1	(	(	PUNCT
fuelectenerg-11176	255	2	14	14	NUM
fuelectenerg-11176	255	3	)	)	PUNCT
fuelectenerg-11176	255	4	proof	proof	NOUN
fuelectenerg-11176	255	5	:	:	PUNCT
fuelectenerg-11176	255	6	considering	consider	VERB
fuelectenerg-11176	255	7	the	the	DET
fuelectenerg-11176	255	8	most	most	ADV
fuelectenerg-11176	255	9	general	general	ADJ
fuelectenerg-11176	255	10	case	case	NOUN
fuelectenerg-11176	255	11	,	,	PUNCT
fuelectenerg-11176	255	12	let	let	VERB
fuelectenerg-11176	255	13	|	|	PRON
fuelectenerg-11176	255	14	〉	〉	NOUN
fuelectenerg-11176	255	15	=	=	SYM
fuelectenerg-11176	255	16	(	(	PUNCT
fuelectenerg-11176	255	17	0	0	X
fuelectenerg-11176	255	18	〉	〉	X
fuelectenerg-11176	255	19	+	+	CCONJ
fuelectenerg-11176	255	20	|1	|1	NOUN
fuelectenerg-11176	255	21	〉	〉	NOUN
fuelectenerg-11176	255	22	)	)	PUNCT
fuelectenerg-11176	255	23	,	,	PUNCT
fuelectenerg-11176	255	24	with	with	ADP
fuelectenerg-11176	255	25	||2	||2	PROPN
fuelectenerg-11176	256	1	+	+	CCONJ
fuelectenerg-11176	256	2	||2	||2	NOUN
fuelectenerg-11176	256	3	=	=	SYM
fuelectenerg-11176	256	4	1	1	NUM
fuelectenerg-11176	256	5	and	and	CCONJ
fuelectenerg-11176	256	6			VERB
fuelectenerg-11176	256	7	〉	〉	NOUN
fuelectenerg-11176	256	8	=	=	SYM
fuelectenerg-11176	256	9	(	(	PUNCT
fuelectenerg-11176	256	10	0	0	ADJ
fuelectenerg-11176	256	11	〉	〉	NOUN
fuelectenerg-11176	256	12	+	+	CCONJ
fuelectenerg-11176	256	13	|1	|1	NOUN
fuelectenerg-11176	256	14	〉	〉	NOUN
fuelectenerg-11176	256	15	)	)	PUNCT
fuelectenerg-11176	256	16	,	,	PUNCT
fuelectenerg-11176	256	17	with	with	ADP
fuelectenerg-11176	256	18	|2	|2	ADJ
fuelectenerg-11176	256	19	+	+	PROPN
fuelectenerg-11176	256	20	|2	|2	PROPN
fuelectenerg-11176	256	21	=	=	SYM
fuelectenerg-11176	257	1	1	1	X
fuelectenerg-11176	257	2	.	.	X
fuelectenerg-11176	257	3	recall	recall	VERB
fuelectenerg-11176	257	4	that	that	DET
fuelectenerg-11176	257	5	swap	swap	NOUN
fuelectenerg-11176	257	6	=	=	PUNCT
fuelectenerg-11176	258	1	[	[	PUNCT
fuelectenerg-11176	258	2	1	1	NUM
fuelectenerg-11176	258	3	0	0	NUM
fuelectenerg-11176	258	4	0	0	NUM
fuelectenerg-11176	258	5	0	0	NUM
fuelectenerg-11176	258	6	0	0	NUM
fuelectenerg-11176	258	7	0	0	NUM
fuelectenerg-11176	258	8	1	1	NUM
fuelectenerg-11176	258	9	0	0	NUM
fuelectenerg-11176	258	10	0	0	NUM
fuelectenerg-11176	258	11	1	1	NUM
fuelectenerg-11176	258	12	0	0	NUM
fuelectenerg-11176	258	13	0	0	NUM
fuelectenerg-11176	258	14	0	0	NUM
fuelectenerg-11176	258	15	0	0	NUM
fuelectenerg-11176	258	16	0	0	NUM
fuelectenerg-11176	258	17	1	1	NUM
fuelectenerg-11176	258	18	]	]	PUNCT
fuelectenerg-11176	259	1	and	and	CCONJ
fuelectenerg-11176	259	2	let	let	VERB
fuelectenerg-11176	259	3	q	q	NOUN
fuelectenerg-11176	260	1	=	=	PUNCT
fuelectenerg-11176	260	2	(	(	PUNCT
fuelectenerg-11176	260	3	h	h	NOUN
fuelectenerg-11176	260	4	⊗	⊗	PROPN
fuelectenerg-11176	260	5	i4)(c	i4)(c	PROPN
fuelectenerg-11176	260	6	swap)(h	swap)(h	PROPN
fuelectenerg-11176	260	7	⊗	⊗	PROPN
fuelectenerg-11176	260	8	i4	i4	PROPN
fuelectenerg-11176	260	9	)	)	PUNCT
fuelectenerg-11176	260	10	.	.	PUNCT
fuelectenerg-11176	261	1	let	let	VERB
fuelectenerg-11176	261	2	s	s	PRON
fuelectenerg-11176	261	3	stand	stand	VERB
fuelectenerg-11176	261	4	for	for	ADP
fuelectenerg-11176	261	5	swap	swap	NOUN
fuelectenerg-11176	261	6	.	.	PUNCT
fuelectenerg-11176	262	1	then	then	ADV
fuelectenerg-11176	262	2	q	q	X
fuelectenerg-11176	262	3	=	=	SYM
fuelectenerg-11176	262	4	1	1	NUM
fuelectenerg-11176	262	5	√2	√2	PROPN
fuelectenerg-11176	262	6	[	[	PUNCT
fuelectenerg-11176	262	7	i4	i4	PROPN
fuelectenerg-11176	262	8	i4	i4	PROPN
fuelectenerg-11176	262	9	i4	i4	PROPN
fuelectenerg-11176	262	10	−i4	−i4	ADV
fuelectenerg-11176	262	11	]	]	PUNCT
fuelectenerg-11176	263	1	⋅	⋅	PROPN
fuelectenerg-11176	263	2	[	[	PUNCT
fuelectenerg-11176	263	3	i4	i4	PROPN
fuelectenerg-11176	263	4	04	04	NUM
fuelectenerg-11176	263	5	04	04	NUM
fuelectenerg-11176	263	6	s	s	PART
fuelectenerg-11176	263	7	]	]	X
fuelectenerg-11176	263	8	⋅	⋅	PROPN
fuelectenerg-11176	263	9	1	1	NUM
fuelectenerg-11176	263	10	√2	√2	PROPN
fuelectenerg-11176	263	11	[	[	PUNCT
fuelectenerg-11176	263	12	i4	i4	PROPN
fuelectenerg-11176	263	13	i4	i4	PROPN
fuelectenerg-11176	263	14	i4	i4	PROPN
fuelectenerg-11176	263	15	−i4	−i4	PROPN
fuelectenerg-11176	263	16	]	]	PUNCT
fuelectenerg-11176	264	1	=	=	SYM
fuelectenerg-11176	265	1	1	1	NUM
fuelectenerg-11176	265	2	2	2	NUM
fuelectenerg-11176	265	3	[	[	PUNCT
fuelectenerg-11176	265	4	i4	i4	PROPN
fuelectenerg-11176	265	5	s	s	PART
fuelectenerg-11176	265	6	i4	i4	PROPN
fuelectenerg-11176	265	7	−s	−s	PROPN
fuelectenerg-11176	265	8	]	]	PUNCT
fuelectenerg-11176	265	9	⋅	⋅	PROPN
fuelectenerg-11176	265	10	[	[	PUNCT
fuelectenerg-11176	265	11	i4	i4	PROPN
fuelectenerg-11176	265	12	i4	i4	PROPN
fuelectenerg-11176	265	13	i4	i4	PROPN
fuelectenerg-11176	265	14	−i4	−i4	PROPN
fuelectenerg-11176	265	15	]	]	PUNCT
fuelectenerg-11176	266	1	=	=	PUNCT
fuelectenerg-11176	267	1	=	=	SYM
fuelectenerg-11176	268	1	1	1	NUM
fuelectenerg-11176	268	2	2	2	NUM
fuelectenerg-11176	268	3	[	[	PUNCT
fuelectenerg-11176	268	4	i4	i4	PROPN
fuelectenerg-11176	268	5	+	+	CCONJ
fuelectenerg-11176	268	6	s	s	PROPN
fuelectenerg-11176	268	7	i4	i4	PROPN
fuelectenerg-11176	268	8	−	−	PROPN
fuelectenerg-11176	268	9	s	s	PART
fuelectenerg-11176	268	10	i4	i4	PROPN
fuelectenerg-11176	268	11	−	−	PROPN
fuelectenerg-11176	268	12	s	s	PART
fuelectenerg-11176	268	13	i4	i4	PROPN
fuelectenerg-11176	268	14	+	+	SYM
fuelectenerg-11176	268	15	s	s	X
fuelectenerg-11176	268	16	]	]	X
fuelectenerg-11176	268	17	.	.	PUNCT
fuelectenerg-11176	269	1	(	(	PUNCT
fuelectenerg-11176	269	2	15	15	NUM
fuelectenerg-11176	269	3	)	)	PUNCT
fuelectenerg-11176	269	4	moreover	moreover	ADV
fuelectenerg-11176	269	5	,	,	PUNCT
fuelectenerg-11176	269	6	|〉	|〉	NOUN
fuelectenerg-11176	269	7	〉	〉	NOUN
fuelectenerg-11176	269	8	=	=	PUNCT
fuelectenerg-11176	270	1	[	[	X
fuelectenerg-11176	270	2			NOUN
fuelectenerg-11176	270	3	]t	]t	VERB
fuelectenerg-11176	270	4	⊗	⊗	NOUN
fuelectenerg-11176	271	1	[	[	X
fuelectenerg-11176	271	2			NOUN
fuelectenerg-11176	271	3	]t	]t	PROPN
fuelectenerg-11176	271	4	=	=	SYM
fuelectenerg-11176	272	1	[	[	X
fuelectenerg-11176	272	2			ADP
fuelectenerg-11176	272	3			NOUN
fuelectenerg-11176	272	4			PROPN
fuelectenerg-11176	272	5			SYM
fuelectenerg-11176	272	6			PROPN
fuelectenerg-11176	272	7	(	(	PUNCT
fuelectenerg-11176	272	8			PROPN
fuelectenerg-11176	272	9	)	)	PUNCT
fuelectenerg-11176	272	10	〉|	〉|	NOUN
fuelectenerg-11176	272	11	〉	〉	NOUN
fuelectenerg-11176	272	12	=	=	PUNCT
fuelectenerg-11176	273	1	[	[	X
fuelectenerg-11176	273	2			NOUN
fuelectenerg-11176	273	3	]t	]t	NOUN
fuelectenerg-11176	274	1	⊗	⊗	PROPN
fuelectenerg-11176	275	1	[	[	X
fuelectenerg-11176	275	2			ADJ
fuelectenerg-11176	275	3	]t	]t	NOUN
fuelectenerg-11176	275	4	=	=	SYM
fuelectenerg-11176	276	1	[	[	X
fuelectenerg-11176	276	2			ADJ
fuelectenerg-11176	276	3			ADV
fuelectenerg-11176	276	4			NOUN
fuelectenerg-11176	276	5			PROPN
fuelectenerg-11176	276	6			X
fuelectenerg-11176	276	7	(	(	PUNCT
fuelectenerg-11176	276	8			NOUN
fuelectenerg-11176	276	9	)	)	PUNCT
fuelectenerg-11176	276	10	therefore	therefore	ADV
fuelectenerg-11176	276	11	,	,	PUNCT
fuelectenerg-11176	276	12	|〉	|〉	X
fuelectenerg-11176	276	13	〉	〉	NOUN
fuelectenerg-11176	276	14	+	+	CCONJ
fuelectenerg-11176	276	15	〉|	〉|	NOUN
fuelectenerg-11176	276	16	〉	〉	NOUN
fuelectenerg-11176	276	17	=	=	PUNCT
fuelectenerg-11176	276	18	=	=	SYM
fuelectenerg-11176	277	1	[	[	X
fuelectenerg-11176	277	2	(	(	PUNCT
fuelectenerg-11176	277	3			ADJ
fuelectenerg-11176	277	4	+	+	ADJ
fuelectenerg-11176	277	5			NOUN
fuelectenerg-11176	277	6	)	)	PUNCT
fuelectenerg-11176	277	7	(	(	PUNCT
fuelectenerg-11176	277	8			VERB
fuelectenerg-11176	277	9	+	+	CCONJ
fuelectenerg-11176	277	10			ADJ
fuelectenerg-11176	277	11	)	)	PUNCT
fuelectenerg-11176	277	12	(	(	PUNCT
fuelectenerg-11176	277	13			PROPN
fuelectenerg-11176	277	14	+	+	NUM
fuelectenerg-11176	277	15			NOUN
fuelectenerg-11176	277	16	)	)	PUNCT
fuelectenerg-11176	277	17	(	(	PUNCT
fuelectenerg-11176	277	18			PUNCT
fuelectenerg-11176	278	1	+	+	CCONJ
fuelectenerg-11176	278	2	)	)	PROPN
fuelectenerg-11176	278	3	(	(	PUNCT
fuelectenerg-11176	278	4	18	18	NUM
fuelectenerg-11176	278	5	)	)	PUNCT
fuelectenerg-11176	278	6	|〉	|〉	NOUN
fuelectenerg-11176	278	7	〉	〉	NOUN
fuelectenerg-11176	278	8	–	–	PUNCT
fuelectenerg-11176	278	9	〉|	〉|	NOUN
fuelectenerg-11176	278	10	〉	〉	NOUN
fuelectenerg-11176	278	11	=	=	PUNCT
fuelectenerg-11176	278	12	=	=	SYM
fuelectenerg-11176	279	1	[	[	X
fuelectenerg-11176	279	2	(	(	PUNCT
fuelectenerg-11176	279	3			ADJ
fuelectenerg-11176	279	4	–	–	PUNCT
fuelectenerg-11176	279	5			NOUN
fuelectenerg-11176	279	6	)	)	PUNCT
fuelectenerg-11176	279	7	(	(	PUNCT
fuelectenerg-11176	279	8			NOUN
fuelectenerg-11176	279	9	–	–	PUNCT
fuelectenerg-11176	279	10			NOUN
fuelectenerg-11176	279	11	)	)	PUNCT
fuelectenerg-11176	279	12	(	(	PUNCT
fuelectenerg-11176	279	13			PROPN
fuelectenerg-11176	279	14	–	–	PUNCT
fuelectenerg-11176	279	15			NOUN
fuelectenerg-11176	279	16	)	)	PUNCT
fuelectenerg-11176	279	17	(	(	PUNCT
fuelectenerg-11176	279	18			PROPN
fuelectenerg-11176	279	19	–	–	PUNCT
fuelectenerg-11176	279	20	)	)	PROPN
fuelectenerg-11176	279	21	(	(	PUNCT
fuelectenerg-11176	279	22	19	19	NUM
fuelectenerg-11176	279	23	)	)	PUNCT
fuelectenerg-11176	279	24	since	since	SCONJ
fuelectenerg-11176	279	25			NOUN
fuelectenerg-11176	279	26	and	and	CCONJ
fuelectenerg-11176	279	27			NOUN
fuelectenerg-11176	279	28	are	be	AUX
fuelectenerg-11176	279	29	possibly	possibly	ADV
fuelectenerg-11176	279	30	complex	complex	ADJ
fuelectenerg-11176	279	31	values	value	NOUN
fuelectenerg-11176	279	32	,	,	PUNCT
fuelectenerg-11176	279	33	the	the	DET
fuelectenerg-11176	279	34	products	product	NOUN
fuelectenerg-11176	279	35			PUNCT
fuelectenerg-11176	279	36	and	and	CCONJ
fuelectenerg-11176	279	37			PROPN
fuelectenerg-11176	279	38	are	be	AUX
fuelectenerg-11176	279	39	commutative	commutative	ADJ
fuelectenerg-11176	279	40	.	.	PUNCT
fuelectenerg-11176	280	1	therefore	therefore	ADV
fuelectenerg-11176	280	2	,	,	PUNCT
fuelectenerg-11176	280	3	the	the	DET
fuelectenerg-11176	280	4	first	first	ADJ
fuelectenerg-11176	280	5	and	and	CCONJ
fuelectenerg-11176	280	6	last	last	ADJ
fuelectenerg-11176	280	7	components	component	NOUN
fuelectenerg-11176	280	8	of	of	ADP
fuelectenerg-11176	280	9	the	the	DET
fuelectenerg-11176	280	10	vector	vector	NOUN
fuelectenerg-11176	280	11	in	in	ADP
fuelectenerg-11176	280	12	(	(	PUNCT
fuelectenerg-11176	280	13	18	18	NUM
fuelectenerg-11176	280	14	)	)	PUNCT
fuelectenerg-11176	280	15	equal	equal	ADJ
fuelectenerg-11176	280	16	2	2	NUM
fuelectenerg-11176	280	17	and	and	CCONJ
fuelectenerg-11176	280	18	2	2	NOUN
fuelectenerg-11176	280	19	respectively	respectively	ADV
fuelectenerg-11176	280	20	,	,	PUNCT
fuelectenerg-11176	280	21	and	and	CCONJ
fuelectenerg-11176	280	22	the	the	DET
fuelectenerg-11176	280	23	first	first	ADJ
fuelectenerg-11176	280	24	and	and	CCONJ
fuelectenerg-11176	280	25	last	last	ADJ
fuelectenerg-11176	280	26	components	component	NOUN
fuelectenerg-11176	280	27	of	of	ADP
fuelectenerg-11176	280	28	the	the	DET
fuelectenerg-11176	280	29	vector	vector	NOUN
fuelectenerg-11176	280	30	in	in	ADP
fuelectenerg-11176	280	31	(	(	PUNCT
fuelectenerg-11176	280	32	19	19	NUM
fuelectenerg-11176	280	33	)	)	PUNCT
fuelectenerg-11176	280	34	equal	equal	ADJ
fuelectenerg-11176	280	35	0	0	X
fuelectenerg-11176	280	36	.	.	PUNCT
fuelectenerg-11176	280	37	therefore	therefore	ADV
fuelectenerg-11176	280	38	,	,	PUNCT
fuelectenerg-11176	280	39	|〉	|〉	X
fuelectenerg-11176	280	40	〉	〉	NOUN
fuelectenerg-11176	280	41	+	+	CCONJ
fuelectenerg-11176	280	42	〉|	〉|	NOUN
fuelectenerg-11176	280	43	〉	〉	NOUN
fuelectenerg-11176	280	44	=	=	SYM
fuelectenerg-11176	281	1	[	[	X
fuelectenerg-11176	281	2	(	(	PUNCT
fuelectenerg-11176	281	3	2	2	NUM
fuelectenerg-11176	281	4	)	)	PUNCT
fuelectenerg-11176	281	5	(	(	PUNCT
fuelectenerg-11176	281	6			VERB
fuelectenerg-11176	281	7	+	+	CCONJ
fuelectenerg-11176	281	8			ADJ
fuelectenerg-11176	281	9	)	)	PUNCT
fuelectenerg-11176	281	10	(	(	PUNCT
fuelectenerg-11176	281	11			PROPN
fuelectenerg-11176	281	12	+	+	NUM
fuelectenerg-11176	281	13			NOUN
fuelectenerg-11176	281	14	)	)	PUNCT
fuelectenerg-11176	281	15	(	(	PUNCT
fuelectenerg-11176	281	16	)	)	X
fuelectenerg-11176	281	17	(	(	PUNCT
fuelectenerg-11176	281	18	20	20	NUM
fuelectenerg-11176	281	19	)	)	PUNCT
fuelectenerg-11176	281	20	|〉	|〉	NOUN
fuelectenerg-11176	281	21	〉	〉	NOUN
fuelectenerg-11176	281	22	–	–	PUNCT
fuelectenerg-11176	281	23	〉|	〉|	NOUN
fuelectenerg-11176	281	24	〉	〉	NOUN
fuelectenerg-11176	281	25	=	=	PUNCT
fuelectenerg-11176	281	26	[	[	PUNCT
fuelectenerg-11176	281	27	0	0	NUM
fuelectenerg-11176	281	28	(	(	PUNCT
fuelectenerg-11176	281	29			NOUN
fuelectenerg-11176	281	30	–	–	PUNCT
fuelectenerg-11176	281	31			NOUN
fuelectenerg-11176	281	32	)	)	PUNCT
fuelectenerg-11176	281	33	(	(	PUNCT
fuelectenerg-11176	281	34			PROPN
fuelectenerg-11176	281	35	–	–	PUNCT
fuelectenerg-11176	281	36			NOUN
fuelectenerg-11176	281	37	)	)	PUNCT
fuelectenerg-11176	281	38			PROPN
fuelectenerg-11176	281	39			X
fuelectenerg-11176	281	40	(	(	PUNCT
fuelectenerg-11176	281	41	21	21	NUM
fuelectenerg-11176	281	42	)	)	PUNCT
fuelectenerg-11176	281	43	to	to	PART
fuelectenerg-11176	281	44	calculate	calculate	VERB
fuelectenerg-11176	281	45	q	q	NOUN
fuelectenerg-11176	281	46	|0〉|〉	|0〉|〉	NUM
fuelectenerg-11176	281	47	〉	〉	NOUN
fuelectenerg-11176	281	48	the	the	DET
fuelectenerg-11176	281	49	explicit	explicit	ADJ
fuelectenerg-11176	281	50	expression	expression	NOUN
fuelectenerg-11176	281	51	for	for	ADP
fuelectenerg-11176	281	52	(	(	PUNCT
fuelectenerg-11176	281	53	15	15	NUM
fuelectenerg-11176	281	54	)	)	PUNCT
fuelectenerg-11176	281	55	will	will	AUX
fuelectenerg-11176	281	56	be	be	AUX
fuelectenerg-11176	281	57	needed	need	VERB
fuelectenerg-11176	281	58	,	,	PUNCT
fuelectenerg-11176	281	59	where	where	SCONJ
fuelectenerg-11176	281	60	“	"	PUNCT
fuelectenerg-11176	281	61	t	t	PROPN
fuelectenerg-11176	281	62	”	"	PUNCT
fuelectenerg-11176	281	63	will	will	AUX
fuelectenerg-11176	281	64	be	be	AUX
fuelectenerg-11176	281	65	used	use	VERB
fuelectenerg-11176	281	66	to	to	PART
fuelectenerg-11176	281	67	represent	represent	VERB
fuelectenerg-11176	281	68	–	–	PUNCT
fuelectenerg-11176	281	69	1	1	NUM
fuelectenerg-11176	281	70	and	and	CCONJ
fuelectenerg-11176	281	71	preserve	preserve	VERB
fuelectenerg-11176	281	72	the	the	DET
fuelectenerg-11176	281	73	format	format	NOUN
fuelectenerg-11176	281	74	of	of	ADP
fuelectenerg-11176	281	75	the	the	DET
fuelectenerg-11176	281	76	matrix	matrix	NOUN
fuelectenerg-11176	281	77	.	.	PUNCT
fuelectenerg-11176	282	1	264	264	NUM
fuelectenerg-11176	282	2	c.	c.	PROPN
fuelectenerg-11176	282	3	moraga	moraga	PROPN
fuelectenerg-11176	282	4	,	,	PUNCT
fuelectenerg-11176	282	5	f.	f.	PROPN
fuelectenerg-11176	282	6	z.	z.	PROPN
fuelectenerg-11176	282	7	hadjam	hadjam	PROPN
fuelectenerg-11176	282	8	q	q	PROPN
fuelectenerg-11176	282	9	|0〉|〉	|0〉|〉	NUM
fuelectenerg-11176	282	10	〉	〉	NOUN
fuelectenerg-11176	282	11	=	=	SYM
fuelectenerg-11176	282	12	1	1	NUM
fuelectenerg-11176	282	13	2	2	NUM
fuelectenerg-11176	282	14	[	[	PUNCT
fuelectenerg-11176	282	15	2	2	NUM
fuelectenerg-11176	282	16	0	0	NUM
fuelectenerg-11176	282	17	0	0	NUM
fuelectenerg-11176	282	18	1	1	NUM
fuelectenerg-11176	282	19	0	0	NUM
fuelectenerg-11176	282	20	0	0	NUM
fuelectenerg-11176	282	21	1	1	NUM
fuelectenerg-11176	282	22	0	0	NUM
fuelectenerg-11176	282	23	0	0	NUM
fuelectenerg-11176	282	24	1	1	NUM
fuelectenerg-11176	282	25	0	0	NUM
fuelectenerg-11176	282	26	0	0	NUM
fuelectenerg-11176	282	27	1	1	NUM
fuelectenerg-11176	282	28	0	0	NUM
fuelectenerg-11176	282	29	0	0	NUM
fuelectenerg-11176	282	30	2	2	NUM
fuelectenerg-11176	282	31	0	0	NUM
fuelectenerg-11176	282	32	0	0	NUM
fuelectenerg-11176	282	33	0	0	NUM
fuelectenerg-11176	282	34	1	1	NUM
fuelectenerg-11176	282	35	0	0	NUM
fuelectenerg-11176	282	36	0	0	NUM
fuelectenerg-11176	282	37	𝐓	𝐓	PROPN
fuelectenerg-11176	282	38	0	0	NUM
fuelectenerg-11176	282	39	0	0	NUM
fuelectenerg-11176	282	40	𝐓	𝐓	PROPN
fuelectenerg-11176	282	41	0	0	NUM
fuelectenerg-11176	282	42	0	0	NUM
fuelectenerg-11176	282	43	1	1	NUM
fuelectenerg-11176	282	44	0	0	NUM
fuelectenerg-11176	282	45	0	0	NUM
fuelectenerg-11176	282	46	0	0	NUM
fuelectenerg-11176	282	47	0	0	NUM
fuelectenerg-11176	282	48	0	0	NUM
fuelectenerg-11176	282	49	0	0	NUM
fuelectenerg-11176	282	50	1	1	NUM
fuelectenerg-11176	282	51	0	0	NUM
fuelectenerg-11176	282	52	0	0	NUM
fuelectenerg-11176	282	53	𝐓	𝐓	PROPN
fuelectenerg-11176	282	54	0	0	NUM
fuelectenerg-11176	282	55	0	0	NUM
fuelectenerg-11176	282	56	𝐓	𝐓	PROPN
fuelectenerg-11176	282	57	0	0	NUM
fuelectenerg-11176	282	58	0	0	NUM
fuelectenerg-11176	282	59	1	1	NUM
fuelectenerg-11176	282	60	0	0	NUM
fuelectenerg-11176	282	61	0	0	NUM
fuelectenerg-11176	282	62	0	0	NUM
fuelectenerg-11176	282	63	2	2	NUM
fuelectenerg-11176	282	64	0	0	NUM
fuelectenerg-11176	282	65	0	0	NUM
fuelectenerg-11176	282	66	1	1	NUM
fuelectenerg-11176	282	67	0	0	NUM
fuelectenerg-11176	282	68	0	0	NUM
fuelectenerg-11176	282	69	1	1	NUM
fuelectenerg-11176	282	70	0	0	NUM
fuelectenerg-11176	282	71	0	0	NUM
fuelectenerg-11176	282	72	1	1	NUM
fuelectenerg-11176	282	73	0	0	NUM
fuelectenerg-11176	282	74	0	0	NUM
fuelectenerg-11176	282	75	1	1	NUM
fuelectenerg-11176	282	76	0	0	NUM
fuelectenerg-11176	282	77	0	0	NUM
fuelectenerg-11176	282	78	2	2	NUM
fuelectenerg-11176	282	79	]	]	SYM
fuelectenerg-11176	282	80	⋅	⋅	X
fuelectenerg-11176	282	81	[	[	PUNCT
fuelectenerg-11176	282	82	𝛼1𝛼2	𝛼1𝛼2	NUM
fuelectenerg-11176	282	83	𝛼1𝛽2	𝛼1𝛽2	NOUN
fuelectenerg-11176	282	84	𝛽	𝛽	NOUN
fuelectenerg-11176	282	85	1	1	NUM
fuelectenerg-11176	282	86	𝛼2	𝛼2	NOUN
fuelectenerg-11176	282	87	𝛽	𝛽	PROPN
fuelectenerg-11176	282	88	1	1	NUM
fuelectenerg-11176	282	89	𝛽	𝛽	NOUN
fuelectenerg-11176	282	90	2	2	NUM
fuelectenerg-11176	282	91	0	0	NUM
fuelectenerg-11176	282	92	0	0	NUM
fuelectenerg-11176	282	93	0	0	NUM
fuelectenerg-11176	282	94	0	0	NUM
fuelectenerg-11176	282	95	]	]	PUNCT
fuelectenerg-11176	283	1	=	=	SYM
fuelectenerg-11176	283	2	1	1	NUM
fuelectenerg-11176	283	3	2	2	NUM
fuelectenerg-11176	283	4	[	[	PUNCT
fuelectenerg-11176	283	5	2𝛼1𝛼2	2𝛼1𝛼2	NUM
fuelectenerg-11176	283	6	𝛼1𝛽2	𝛼1𝛽2	NOUN
fuelectenerg-11176	284	1	+	+	CCONJ
fuelectenerg-11176	284	2	𝛽1𝛼2	𝛽1𝛼2	X
fuelectenerg-11176	284	3	𝛼1𝛽2	𝛼1𝛽2	X
fuelectenerg-11176	285	1	+	+	CCONJ
fuelectenerg-11176	285	2	𝛽1𝛼2	𝛽1𝛼2	X
fuelectenerg-11176	285	3	2𝛽1𝛽2	2𝛽1𝛽2	NUM
fuelectenerg-11176	285	4	0	0	NUM
fuelectenerg-11176	285	5	𝛼1𝛽2	𝛼1𝛽2	NUM
fuelectenerg-11176	285	6	−	−	NOUN
fuelectenerg-11176	285	7	𝛽1𝛼2	𝛽1𝛼2	ADP
fuelectenerg-11176	285	8	−𝛼1𝛽2	−𝛼1𝛽2	PROPN
fuelectenerg-11176	285	9	+	+	CCONJ
fuelectenerg-11176	285	10	𝛽1𝛼2	𝛽1𝛼2	X
fuelectenerg-11176	285	11	0	0	NUM
fuelectenerg-11176	285	12	]	]	PUNCT
fuelectenerg-11176	285	13	.	.	PUNCT
fuelectenerg-11176	286	1	(	(	PUNCT
fuelectenerg-11176	286	2	22	22	NUM
fuelectenerg-11176	286	3	)	)	PUNCT
fuelectenerg-11176	286	4	the	the	DET
fuelectenerg-11176	286	5	resulting	result	VERB
fuelectenerg-11176	286	6	vector	vector	NOUN
fuelectenerg-11176	286	7	in	in	ADP
fuelectenerg-11176	286	8	(	(	PUNCT
fuelectenerg-11176	286	9	22	22	NUM
fuelectenerg-11176	286	10	)	)	PUNCT
fuelectenerg-11176	286	11	may	may	AUX
fuelectenerg-11176	286	12	be	be	AUX
fuelectenerg-11176	286	13	additively	additively	ADV
fuelectenerg-11176	286	14	divided	divide	VERB
fuelectenerg-11176	286	15	into	into	ADP
fuelectenerg-11176	286	16	two	two	NUM
fuelectenerg-11176	286	17	vectors	vector	NOUN
fuelectenerg-11176	286	18	as	as	SCONJ
fuelectenerg-11176	286	19	follows	follow	VERB
fuelectenerg-11176	286	20	:	:	PUNCT
fuelectenerg-11176	286	21	1	1	NUM
fuelectenerg-11176	286	22	2	2	NUM
fuelectenerg-11176	286	23	[	[	PUNCT
fuelectenerg-11176	286	24	2𝛼1𝛼2	2𝛼1𝛼2	NUM
fuelectenerg-11176	287	1	𝛼1𝛽2	𝛼1𝛽2	NOUN
fuelectenerg-11176	288	1	+	+	CCONJ
fuelectenerg-11176	288	2	𝛽1𝛼2	𝛽1𝛼2	X
fuelectenerg-11176	288	3	𝛼1𝛽2	𝛼1𝛽2	X
fuelectenerg-11176	289	1	+	+	CCONJ
fuelectenerg-11176	289	2	𝛽1𝛼2	𝛽1𝛼2	X
fuelectenerg-11176	289	3	2𝛽1𝛽2	2𝛽1𝛽2	NUM
fuelectenerg-11176	289	4	0	0	NUM
fuelectenerg-11176	289	5	𝛼1𝛽2	𝛼1𝛽2	NUM
fuelectenerg-11176	289	6	−	−	NOUN
fuelectenerg-11176	289	7	𝛽1𝛼2	𝛽1𝛼2	ADP
fuelectenerg-11176	289	8	−𝛼1𝛽2	−𝛼1𝛽2	PROPN
fuelectenerg-11176	289	9	+	+	CCONJ
fuelectenerg-11176	289	10	𝛽1𝛼2	𝛽1𝛼2	X
fuelectenerg-11176	289	11	0	0	NUM
fuelectenerg-11176	289	12	]	]	PUNCT
fuelectenerg-11176	289	13	=	=	SYM
fuelectenerg-11176	289	14	1	1	NUM
fuelectenerg-11176	289	15	2	2	NUM
fuelectenerg-11176	289	16	(	(	PUNCT
fuelectenerg-11176	289	17	[	[	PUNCT
fuelectenerg-11176	289	18	2𝛼1𝛼2	2𝛼1𝛼2	NUM
fuelectenerg-11176	289	19	𝛼1𝛽2	𝛼1𝛽2	NOUN
fuelectenerg-11176	289	20	+	+	CCONJ
fuelectenerg-11176	289	21	𝛽	𝛽	NOUN
fuelectenerg-11176	289	22	1	1	NUM
fuelectenerg-11176	289	23	𝛼2	𝛼2	ADJ
fuelectenerg-11176	289	24	𝛼1𝛽2	𝛼1𝛽2	NOUN
fuelectenerg-11176	290	1	+	+	CCONJ
fuelectenerg-11176	290	2	𝛽	𝛽	NOUN
fuelectenerg-11176	290	3	1	1	NUM
fuelectenerg-11176	290	4	𝛼2	𝛼2	PROPN
fuelectenerg-11176	290	5	2𝛽	2𝛽	NOUN
fuelectenerg-11176	290	6	1	1	NUM
fuelectenerg-11176	290	7	𝛽	𝛽	NOUN
fuelectenerg-11176	290	8	2	2	NUM
fuelectenerg-11176	290	9	0	0	NUM
fuelectenerg-11176	290	10	0	0	NUM
fuelectenerg-11176	290	11	0	0	NUM
fuelectenerg-11176	290	12	0	0	NUM
fuelectenerg-11176	290	13	]	]	PUNCT
fuelectenerg-11176	291	1	+	+	CCONJ
fuelectenerg-11176	291	2	[	[	PUNCT
fuelectenerg-11176	291	3	0	0	NUM
fuelectenerg-11176	291	4	0	0	NUM
fuelectenerg-11176	291	5	0	0	NUM
fuelectenerg-11176	291	6	0	0	NUM
fuelectenerg-11176	291	7	0	0	NUM
fuelectenerg-11176	292	1	𝛼1𝛽2	𝛼1𝛽2	NUM
fuelectenerg-11176	292	2	−	−	NOUN
fuelectenerg-11176	292	3	𝛽	𝛽	NOUN
fuelectenerg-11176	292	4	1	1	NUM
fuelectenerg-11176	292	5	𝛼2	𝛼2	PROPN
fuelectenerg-11176	292	6	−𝛼1𝛽2	−𝛼1𝛽2	PROPN
fuelectenerg-11176	292	7	+	+	CCONJ
fuelectenerg-11176	292	8	𝛽	𝛽	NOUN
fuelectenerg-11176	292	9	1	1	NUM
fuelectenerg-11176	292	10	𝛼2	𝛼2	NOUN
fuelectenerg-11176	292	11	0	0	NUM
fuelectenerg-11176	292	12	]	]	PUNCT
fuelectenerg-11176	292	13	)	)	PUNCT
fuelectenerg-11176	292	14	.	.	PUNCT
fuelectenerg-11176	293	1	(	(	PUNCT
fuelectenerg-11176	293	2	23	23	NUM
fuelectenerg-11176	293	3	)	)	PUNCT
fuelectenerg-11176	293	4	from	from	ADP
fuelectenerg-11176	293	5	eq	eq	ADP
fuelectenerg-11176	293	6	.	.	PUNCT
fuelectenerg-11176	294	1	(	(	PUNCT
fuelectenerg-11176	294	2	21	21	NUM
fuelectenerg-11176	294	3	)	)	PUNCT
fuelectenerg-11176	294	4	,	,	PUNCT
fuelectenerg-11176	294	5	with	with	ADP
fuelectenerg-11176	294	6	(	(	PUNCT
fuelectenerg-11176	294	7	18.b	18.b	NUM
fuelectenerg-11176	294	8	)	)	PUNCT
fuelectenerg-11176	294	9	and	and	CCONJ
fuelectenerg-11176	294	10	(	(	PUNCT
fuelectenerg-11176	294	11	19.b	19.b	NUM
fuelectenerg-11176	294	12	)	)	PUNCT
fuelectenerg-11176	294	13	follows	follow	VERB
fuelectenerg-11176	294	14	that	that	SCONJ
fuelectenerg-11176	294	15	the	the	DET
fuelectenerg-11176	294	16	first	first	ADJ
fuelectenerg-11176	294	17	vector	vector	NOUN
fuelectenerg-11176	294	18	of	of	ADP
fuelectenerg-11176	294	19	(	(	PUNCT
fuelectenerg-11176	294	20	21	21	NUM
fuelectenerg-11176	294	21	)	)	PUNCT
fuelectenerg-11176	294	22	equals	equal	VERB
fuelectenerg-11176	294	23	(	(	PUNCT
fuelectenerg-11176	294	24	1/2)|0	1/2)|0	NOUN
fuelectenerg-11176	294	25	〉	〉	NOUN
fuelectenerg-11176	294	26	(	(	PUNCT
fuelectenerg-11176	294	27	|〉	|〉	NOUN
fuelectenerg-11176	294	28	〉	〉	X
fuelectenerg-11176	294	29	+	+	CCONJ
fuelectenerg-11176	294	30	〉|	〉|	NOUN
fuelectenerg-11176	294	31	〉	〉	NOUN
fuelectenerg-11176	294	32	)	)	PUNCT
fuelectenerg-11176	294	33	and	and	CCONJ
fuelectenerg-11176	294	34	the	the	DET
fuelectenerg-11176	294	35	second	second	ADJ
fuelectenerg-11176	294	36	vector	vector	NOUN
fuelectenerg-11176	294	37	of	of	ADP
fuelectenerg-11176	294	38	(	(	PUNCT
fuelectenerg-11176	294	39	21	21	NUM
fuelectenerg-11176	294	40	)	)	PUNCT
fuelectenerg-11176	294	41	equals	equal	VERB
fuelectenerg-11176	294	42	n(1/2)|1	n(1/2)|1	PROPN
fuelectenerg-11176	294	43	〉	〉	NOUN
fuelectenerg-11176	294	44	(	(	PUNCT
fuelectenerg-11176	294	45	|〉	|〉	NOUN
fuelectenerg-11176	294	46	〉	〉	NOUN
fuelectenerg-11176	294	47	–	–	PUNCT
fuelectenerg-11176	294	48	〉|	〉|	NOUN
fuelectenerg-11176	294	49	〉	〉	NOUN
fuelectenerg-11176	294	50	)	)	PUNCT
fuelectenerg-11176	294	51	.	.	PUNCT
fuelectenerg-11176	295	1	this	this	PRON
fuelectenerg-11176	295	2	ends	end	VERB
fuelectenerg-11176	295	3	the	the	DET
fuelectenerg-11176	295	4	proof	proof	NOUN
fuelectenerg-11176	295	5	that	that	SCONJ
fuelectenerg-11176	295	6	q	q	NOUN
fuelectenerg-11176	295	7	|0〉|〉	|0〉|〉	NUM
fuelectenerg-11176	295	8	〉	〉	NOUN
fuelectenerg-11176	295	9	=	=	SYM
fuelectenerg-11176	295	10	(	(	PUNCT
fuelectenerg-11176	295	11	1/2	1/2	NUM
fuelectenerg-11176	295	12	)	)	PUNCT
fuelectenerg-11176	295	13	[	[	PUNCT
fuelectenerg-11176	295	14	|0〉(|〉	|0〉(|〉	X
fuelectenerg-11176	295	15	〉	〉	NOUN
fuelectenerg-11176	295	16	+	+	CCONJ
fuelectenerg-11176	295	17	〉|	〉|	NOUN
fuelectenerg-11176	295	18	〉	〉	NOUN
fuelectenerg-11176	295	19	)	)	PUNCT
fuelectenerg-11176	295	20	+	+	CCONJ
fuelectenerg-11176	295	21	|1〉(|〉	|1〉(|〉	ADJ
fuelectenerg-11176	295	22	〉	〉	NOUN
fuelectenerg-11176	295	23	–	–	PUNCT
fuelectenerg-11176	295	24	〉|	〉|	NOUN
fuelectenerg-11176	295	25	〉	〉	NOUN
fuelectenerg-11176	295	26	)	)	PUNCT
fuelectenerg-11176	295	27	]	]	PUNCT
fuelectenerg-11176	295	28	.	.	PUNCT
fuelectenerg-11176	296	1	□	□	PUNCT
fuelectenerg-11176	296	2	notice	notice	VERB
fuelectenerg-11176	296	3	that	that	SCONJ
fuelectenerg-11176	296	4	if	if	SCONJ
fuelectenerg-11176	296	5	(	(	PUNCT
fuelectenerg-11176	296	6	|	|	NOUN
fuelectenerg-11176	296	7	〉	〉	NOUN
fuelectenerg-11176	296	8	=	=	SYM
fuelectenerg-11176	296	9			NOUN
fuelectenerg-11176	296	10	〉	〉	NOUN
fuelectenerg-11176	296	11	)	)	PUNCT
fuelectenerg-11176	296	12	then	then	ADV
fuelectenerg-11176	296	13	(	(	PUNCT
fuelectenerg-11176	296	14	|〉	|〉	NOUN
fuelectenerg-11176	296	15	〉	〉	NOUN
fuelectenerg-11176	296	16	=	=	SYM
fuelectenerg-11176	296	17	〉|	〉|	NOUN
fuelectenerg-11176	296	18	〉	〉	NOUN
fuelectenerg-11176	296	19	)	)	PUNCT
fuelectenerg-11176	296	20	and	and	CCONJ
fuelectenerg-11176	296	21	(	(	PUNCT
fuelectenerg-11176	296	22	|〉	|〉	NOUN
fuelectenerg-11176	296	23	〉	〉	NOUN
fuelectenerg-11176	296	24	–	–	PUNCT
fuelectenerg-11176	296	25	〉|	〉|	NOUN
fuelectenerg-11176	296	26	〉	〉	NOUN
fuelectenerg-11176	296	27	)	)	PUNCT
fuelectenerg-11176	296	28	=	=	SYM
fuelectenerg-11176	297	1	0	0	X
fuelectenerg-11176	297	2	.	.	PUNCT
fuelectenerg-11176	298	1	this	this	PRON
fuelectenerg-11176	298	2	means	mean	VERB
fuelectenerg-11176	298	3	that	that	SCONJ
fuelectenerg-11176	298	4	in	in	ADP
fuelectenerg-11176	298	5	this	this	DET
fuelectenerg-11176	298	6	case	case	NOUN
fuelectenerg-11176	298	7	,	,	PUNCT
fuelectenerg-11176	298	8	|1	|1	PRON
fuelectenerg-11176	298	9	〉	〉	NOUN
fuelectenerg-11176	298	10	would	would	AUX
fuelectenerg-11176	298	11	be	be	AUX
fuelectenerg-11176	298	12	measured	measure	VERB
fuelectenerg-11176	298	13	with	with	ADP
fuelectenerg-11176	298	14	probability	probability	NOUN
fuelectenerg-11176	298	15	0	0	NUM
fuelectenerg-11176	298	16	,	,	PUNCT
fuelectenerg-11176	298	17	whereas	whereas	SCONJ
fuelectenerg-11176	298	18	|0	|0	NUM
fuelectenerg-11176	298	19	〉	〉	NOUN
fuelectenerg-11176	298	20	would	would	AUX
fuelectenerg-11176	298	21	be	be	AUX
fuelectenerg-11176	298	22	measured	measure	VERB
fuelectenerg-11176	298	23	with	with	ADP
fuelectenerg-11176	298	24	a	a	DET
fuelectenerg-11176	298	25	non	non	ADJ
fuelectenerg-11176	298	26	-	-	ADJ
fuelectenerg-11176	298	27	zero	zero	NUM
fuelectenerg-11176	298	28	probability	probability	NOUN
fuelectenerg-11176	298	29	.	.	PUNCT
fuelectenerg-11176	299	1	the	the	DET
fuelectenerg-11176	299	2	equality	equality	NOUN
fuelectenerg-11176	299	3	of	of	ADP
fuelectenerg-11176	299	4	two	two	NUM
fuelectenerg-11176	299	5	state	state	NOUN
fuelectenerg-11176	299	6	vectors	vector	NOUN
fuelectenerg-11176	299	7	may	may	AUX
fuelectenerg-11176	299	8	be	be	AUX
fuelectenerg-11176	299	9	obtained	obtain	VERB
fuelectenerg-11176	299	10	in	in	ADP
fuelectenerg-11176	299	11	one	one	NUM
fuelectenerg-11176	299	12	step	step	NOUN
fuelectenerg-11176	299	13	,	,	PUNCT
fuelectenerg-11176	299	14	whereas	whereas	SCONJ
fuelectenerg-11176	299	15	a	a	DET
fuelectenerg-11176	299	16	classical	classical	ADJ
fuelectenerg-11176	299	17	algorithm	algorithm	NOUN
fuelectenerg-11176	299	18	would	would	AUX
fuelectenerg-11176	299	19	require	require	VERB
fuelectenerg-11176	299	20	two	two	NUM
fuelectenerg-11176	299	21	comparisons	comparison	NOUN
fuelectenerg-11176	299	22	.	.	PUNCT
fuelectenerg-11176	300	1	a	a	DET
fuelectenerg-11176	300	2	possible	possible	ADJ
fuelectenerg-11176	300	3	“	"	PUNCT
fuelectenerg-11176	300	4	variation	variation	NOUN
fuelectenerg-11176	300	5	”	"	PUNCT
fuelectenerg-11176	300	6	may	may	AUX
fuelectenerg-11176	300	7	consider	consider	VERB
fuelectenerg-11176	300	8	|	|	NOUN
fuelectenerg-11176	300	9	〉	〉	NOUN
fuelectenerg-11176	300	10	=	=	SYM
fuelectenerg-11176	300	11	|1	|1	X
fuelectenerg-11176	300	12	〉	〉	NOUN
fuelectenerg-11176	300	13	=	=	PUNCT
fuelectenerg-11176	300	14	[	[	PUNCT
fuelectenerg-11176	300	15	0	0	NUM
fuelectenerg-11176	300	16	1	1	NUM
fuelectenerg-11176	300	17	]	]	SYM
fuelectenerg-11176	300	18	t	t	X
fuelectenerg-11176	300	19	(	(	PUNCT
fuelectenerg-11176	300	20	in	in	ADP
fuelectenerg-11176	300	21	the	the	DET
fuelectenerg-11176	300	22	vector	vector	NOUN
fuelectenerg-11176	300	23	notation	notation	NOUN
fuelectenerg-11176	300	24	)	)	PUNCT
fuelectenerg-11176	300	25	,	,	PUNCT
fuelectenerg-11176	300	26	then	then	ADV
fuelectenerg-11176	300	27	𝑯|1	𝑯|1	ADV
fuelectenerg-11176	300	28	〉	〉	NOUN
fuelectenerg-11176	300	29	=	=	SYM
fuelectenerg-11176	300	30	𝟏	𝟏	NUM
fuelectenerg-11176	300	31	√𝟐	√𝟐	PROPN
fuelectenerg-11176	301	1	[	[	X
fuelectenerg-11176	301	2	1	1	NUM
fuelectenerg-11176	301	3	1	1	NUM
fuelectenerg-11176	301	4	1	1	NUM
fuelectenerg-11176	301	5	−1	−1	NOUN
fuelectenerg-11176	301	6	]	]	PUNCT
fuelectenerg-11176	301	7	.	.	PUNCT
fuelectenerg-11176	302	1	[	[	PUNCT
fuelectenerg-11176	302	2	0	0	NUM
fuelectenerg-11176	302	3	1	1	NUM
fuelectenerg-11176	302	4	]	]	PUNCT
fuelectenerg-11176	302	5	=	=	SYM
fuelectenerg-11176	302	6	𝟏	𝟏	NUM
fuelectenerg-11176	302	7	√𝟐	√𝟐	PROPN
fuelectenerg-11176	302	8	[	[	PUNCT
fuelectenerg-11176	302	9	1	1	NUM
fuelectenerg-11176	302	10	−1	−1	NOUN
fuelectenerg-11176	302	11	]	]	PUNCT
fuelectenerg-11176	302	12	=	=	PUNCT
fuelectenerg-11176	302	13	𝟏	𝟏	X
fuelectenerg-11176	302	14	√𝟐	√𝟐	PROPN
fuelectenerg-11176	302	15	(	(	PUNCT
fuelectenerg-11176	302	16	|0⟩	|0⟩	PROPN
fuelectenerg-11176	302	17	−	−	PROPN
fuelectenerg-11176	302	18	|1⟩	|1⟩	PROPN
fuelectenerg-11176	302	19	)	)	PUNCT
fuelectenerg-11176	302	20	.	.	PUNCT
fuelectenerg-11176	303	1	(	(	PUNCT
fuelectenerg-11176	303	2	24	24	NUM
fuelectenerg-11176	303	3	)	)	PUNCT
fuelectenerg-11176	303	4	lemma	lemma	PROPN
fuelectenerg-11176	303	5	2	2	NUM
fuelectenerg-11176	303	6	:	:	PUNCT
fuelectenerg-11176	303	7	if	if	SCONJ
fuelectenerg-11176	303	8	in	in	ADP
fuelectenerg-11176	303	9	the	the	DET
fuelectenerg-11176	303	10	circuit	circuit	NOUN
fuelectenerg-11176	303	11	of	of	ADP
fuelectenerg-11176	303	12	fig	fig	NOUN
fuelectenerg-11176	303	13	.	.	PUNCT
fuelectenerg-11176	304	1	20	20	NUM
fuelectenerg-11176	304	2	|	|	NOUN
fuelectenerg-11176	304	3	〉	〉	NOUN
fuelectenerg-11176	304	4	is	be	AUX
fuelectenerg-11176	304	5	set	set	VERB
fuelectenerg-11176	304	6	to	to	ADP
fuelectenerg-11176	304	7	|1	|1	PRON
fuelectenerg-11176	304	8	〉	〉	NOUN
fuelectenerg-11176	304	9	,	,	PUNCT
fuelectenerg-11176	304	10	then	then	ADV
fuelectenerg-11176	304	11	q|1〉|〉	q|1〉|〉	PUNCT
fuelectenerg-11176	304	12	〉	〉	NOUN
fuelectenerg-11176	304	13	=	=	SYM
fuelectenerg-11176	304	14	(	(	PUNCT
fuelectenerg-11176	304	15	1/2)[(|0〉(|〉	1/2)[(|0〉(|〉	NUM
fuelectenerg-11176	304	16	〉	〉	NOUN
fuelectenerg-11176	304	17	–	–	PUNCT
fuelectenerg-11176	304	18	〉|	〉|	NOUN
fuelectenerg-11176	304	19	〉	〉	NOUN
fuelectenerg-11176	304	20	)	)	PUNCT
fuelectenerg-11176	305	1	+	+	CCONJ
fuelectenerg-11176	305	2	|1〉(|〉	|1〉(|〉	ADJ
fuelectenerg-11176	305	3	〉	〉	NOUN
fuelectenerg-11176	305	4	+	+	CCONJ
fuelectenerg-11176	305	5	〉|	〉|	NOUN
fuelectenerg-11176	305	6	〉	〉	NOUN
fuelectenerg-11176	305	7	)	)	PUNCT
fuelectenerg-11176	305	8	]	]	PUNCT
fuelectenerg-11176	305	9	.	.	PUNCT
fuelectenerg-11176	306	1	proof	proof	NOUN
fuelectenerg-11176	306	2	:	:	PUNCT
fuelectenerg-11176	306	3	at	at	ADP
fuelectenerg-11176	306	4	the	the	DET
fuelectenerg-11176	306	5	output	output	NOUN
fuelectenerg-11176	306	6	side	side	NOUN
fuelectenerg-11176	306	7	the	the	DET
fuelectenerg-11176	306	8	circuit	circuit	NOUN
fuelectenerg-11176	306	9	with	with	ADP
fuelectenerg-11176	306	10	|	|	NOUN
fuelectenerg-11176	306	11	〉	〉	NOUN
fuelectenerg-11176	306	12	=	=	SYM
fuelectenerg-11176	306	13	|1	|1	X
fuelectenerg-11176	306	14	〉	〉	NOUN
fuelectenerg-11176	306	15	now	now	ADV
fuelectenerg-11176	306	16	gives	give	VERB
fuelectenerg-11176	306	17	(	(	PUNCT
fuelectenerg-11176	306	18	h	h	NOUN
fuelectenerg-11176	306	19	⊗	⊗	PROPN
fuelectenerg-11176	306	20	i4)(c	i4)(c	PROPN
fuelectenerg-11176	306	21	swap)(h	swap)(h	PROPN
fuelectenerg-11176	306	22	⊗	⊗	PROPN
fuelectenerg-11176	306	23	i4	i4	PROPN
fuelectenerg-11176	306	24	)	)	PUNCT
fuelectenerg-11176	306	25	|1〉|〉	|1〉|〉	NUM
fuelectenerg-11176	306	26	〉	〉	NOUN
fuelectenerg-11176	306	27	=	=	SYM
fuelectenerg-11176	306	28	q|1〉|〉	q|1〉|〉	NOUN
fuelectenerg-11176	306	29	〉	〉	NOUN
fuelectenerg-11176	306	30	=	=	PUNCT
fuelectenerg-11176	307	1	=	=	SYM
fuelectenerg-11176	307	2	q	q	X
fuelectenerg-11176	307	3	(	(	PUNCT
fuelectenerg-11176	307	4	[	[	PUNCT
fuelectenerg-11176	307	5	0	0	NUM
fuelectenerg-11176	307	6	1]t	1]t	NUM
fuelectenerg-11176	307	7	⊗	⊗	NUM
fuelectenerg-11176	308	1	[	[	X
fuelectenerg-11176	308	2			ADP
fuelectenerg-11176	308	3			NOUN
fuelectenerg-11176	308	4			PROPN
fuelectenerg-11176	308	5			NOUN
fuelectenerg-11176	308	6			NOUN
fuelectenerg-11176	308	7	)	)	PUNCT
fuelectenerg-11176	309	1	=	=	SYM
fuelectenerg-11176	309	2	the	the	DET
fuelectenerg-11176	309	3	fredkin	fredkin	NOUN
fuelectenerg-11176	309	4	gate	gate	NOUN
fuelectenerg-11176	309	5	in	in	ADP
fuelectenerg-11176	309	6	reversible	reversible	ADJ
fuelectenerg-11176	309	7	and	and	CCONJ
fuelectenerg-11176	309	8	quantum	quantum	ADJ
fuelectenerg-11176	309	9	environments	environment	NOUN
fuelectenerg-11176	309	10	265	265	NUM
fuelectenerg-11176	309	11	=	=	SYM
fuelectenerg-11176	309	12	1	1	NUM
fuelectenerg-11176	309	13	2	2	NUM
fuelectenerg-11176	309	14	[	[	PUNCT
fuelectenerg-11176	309	15	2	2	NUM
fuelectenerg-11176	309	16	0	0	NUM
fuelectenerg-11176	309	17	0	0	NUM
fuelectenerg-11176	309	18	1	1	NUM
fuelectenerg-11176	309	19	0	0	NUM
fuelectenerg-11176	309	20	0	0	NUM
fuelectenerg-11176	309	21	1	1	NUM
fuelectenerg-11176	309	22	0	0	NUM
fuelectenerg-11176	309	23	0	0	NUM
fuelectenerg-11176	309	24	1	1	NUM
fuelectenerg-11176	309	25	0	0	NUM
fuelectenerg-11176	309	26	0	0	NUM
fuelectenerg-11176	309	27	1	1	NUM
fuelectenerg-11176	309	28	0	0	NUM
fuelectenerg-11176	309	29	0	0	NUM
fuelectenerg-11176	309	30	2	2	NUM
fuelectenerg-11176	309	31	0	0	NUM
fuelectenerg-11176	309	32	0	0	NUM
fuelectenerg-11176	309	33	0	0	NUM
fuelectenerg-11176	309	34	1	1	NUM
fuelectenerg-11176	309	35	0	0	NUM
fuelectenerg-11176	309	36	0	0	NUM
fuelectenerg-11176	309	37	t	t	NOUN
fuelectenerg-11176	309	38	0	0	NUM
fuelectenerg-11176	309	39	0	0	NUM
fuelectenerg-11176	309	40	t	t	NOUN
fuelectenerg-11176	309	41	0	0	NUM
fuelectenerg-11176	309	42	0	0	NUM
fuelectenerg-11176	309	43	1	1	NUM
fuelectenerg-11176	309	44	0	0	NUM
fuelectenerg-11176	309	45	0	0	NUM
fuelectenerg-11176	309	46	0	0	NUM
fuelectenerg-11176	309	47	0	0	NUM
fuelectenerg-11176	309	48	0	0	NUM
fuelectenerg-11176	309	49	0	0	NUM
fuelectenerg-11176	309	50	1	1	NUM
fuelectenerg-11176	309	51	0	0	NUM
fuelectenerg-11176	309	52	0	0	NUM
fuelectenerg-11176	309	53	t	t	NOUN
fuelectenerg-11176	309	54	0	0	NUM
fuelectenerg-11176	309	55	0	0	NUM
fuelectenerg-11176	310	1	t	t	NOUN
fuelectenerg-11176	310	2	0	0	NUM
fuelectenerg-11176	310	3	0	0	NUM
fuelectenerg-11176	310	4	1	1	NUM
fuelectenerg-11176	310	5	0	0	NUM
fuelectenerg-11176	310	6	0	0	NUM
fuelectenerg-11176	310	7	0	0	NUM
fuelectenerg-11176	310	8	2	2	NUM
fuelectenerg-11176	310	9	0	0	NUM
fuelectenerg-11176	310	10	0	0	NUM
fuelectenerg-11176	310	11	1	1	NUM
fuelectenerg-11176	310	12	0	0	NUM
fuelectenerg-11176	310	13	0	0	NUM
fuelectenerg-11176	310	14	1	1	NUM
fuelectenerg-11176	310	15	0	0	NUM
fuelectenerg-11176	310	16	0	0	NUM
fuelectenerg-11176	310	17	1	1	NUM
fuelectenerg-11176	310	18	0	0	NUM
fuelectenerg-11176	310	19	0	0	NUM
fuelectenerg-11176	310	20	1	1	NUM
fuelectenerg-11176	310	21	0	0	NUM
fuelectenerg-11176	310	22	0	0	NUM
fuelectenerg-11176	310	23	2	2	NUM
fuelectenerg-11176	310	24	]	]	SYM
fuelectenerg-11176	310	25	⋅	⋅	X
fuelectenerg-11176	310	26	[	[	PUNCT
fuelectenerg-11176	310	27	0	0	NUM
fuelectenerg-11176	310	28	0	0	NUM
fuelectenerg-11176	310	29	0	0	NUM
fuelectenerg-11176	310	30	0	0	NUM
fuelectenerg-11176	310	31	𝛼1𝛼2	𝛼1𝛼2	NUM
fuelectenerg-11176	310	32	𝛼1𝛽2	𝛼1𝛽2	X
fuelectenerg-11176	310	33	𝛽	𝛽	NOUN
fuelectenerg-11176	310	34	1	1	NUM
fuelectenerg-11176	310	35	𝛼2	𝛼2	NOUN
fuelectenerg-11176	310	36	𝛽	𝛽	PROPN
fuelectenerg-11176	310	37	1	1	NUM
fuelectenerg-11176	310	38	𝛽	𝛽	NOUN
fuelectenerg-11176	310	39	2	2	NUM
fuelectenerg-11176	310	40	]	]	PUNCT
fuelectenerg-11176	310	41	=	=	SYM
fuelectenerg-11176	310	42	1	1	NUM
fuelectenerg-11176	310	43	2	2	NUM
fuelectenerg-11176	310	44	[	[	PUNCT
fuelectenerg-11176	310	45	0	0	NUM
fuelectenerg-11176	310	46	𝛼1𝛽2	𝛼1𝛽2	NUM
fuelectenerg-11176	310	47	−	−	NOUN
fuelectenerg-11176	310	48	𝛽1𝛼2	𝛽1𝛼2	ADP
fuelectenerg-11176	310	49	−𝛼1𝛽2	−𝛼1𝛽2	PROPN
fuelectenerg-11176	310	50	+	+	CCONJ
fuelectenerg-11176	310	51	𝛽1𝛼2	𝛽1𝛼2	X
fuelectenerg-11176	310	52	0	0	NUM
fuelectenerg-11176	310	53	2𝛼1𝛼2	2𝛼1𝛼2	NUM
fuelectenerg-11176	310	54	𝛼1𝛽2	𝛼1𝛽2	X
fuelectenerg-11176	311	1	+	+	CCONJ
fuelectenerg-11176	311	2	𝛽1𝛼2	𝛽1𝛼2	X
fuelectenerg-11176	311	3	𝛼1𝛽2	𝛼1𝛽2	X
fuelectenerg-11176	311	4	+	+	CCONJ
fuelectenerg-11176	311	5	𝛽1𝛼2	𝛽1𝛼2	SYM
fuelectenerg-11176	311	6	2𝛽1𝛽2	2𝛽1𝛽2	NUM
fuelectenerg-11176	311	7	]	]	PUNCT
fuelectenerg-11176	311	8	.	.	PUNCT
fuelectenerg-11176	312	1	(	(	PUNCT
fuelectenerg-11176	312	2	25	25	NUM
fuelectenerg-11176	312	3	)	)	PUNCT
fuelectenerg-11176	312	4	as	as	ADP
fuelectenerg-11176	312	5	in	in	ADP
fuelectenerg-11176	312	6	the	the	DET
fuelectenerg-11176	312	7	former	former	ADJ
fuelectenerg-11176	312	8	case	case	NOUN
fuelectenerg-11176	312	9	,	,	PUNCT
fuelectenerg-11176	312	10	(	(	PUNCT
fuelectenerg-11176	312	11	recall	recall	NOUN
fuelectenerg-11176	312	12	eq	eq	ADP
fuelectenerg-11176	312	13	.	.	PUNCT
fuelectenerg-11176	313	1	(	(	PUNCT
fuelectenerg-11176	313	2	23	23	NUM
fuelectenerg-11176	313	3	)	)	PUNCT
fuelectenerg-11176	313	4	)	)	PUNCT
fuelectenerg-11176	313	5	,	,	PUNCT
fuelectenerg-11176	313	6	the	the	DET
fuelectenerg-11176	313	7	final	final	ADJ
fuelectenerg-11176	313	8	vector	vector	NOUN
fuelectenerg-11176	313	9	of	of	ADP
fuelectenerg-11176	313	10	eq	eq	PROPN
fuelectenerg-11176	313	11	.	.	PUNCT
fuelectenerg-11176	314	1	(	(	PUNCT
fuelectenerg-11176	314	2	25	25	NUM
fuelectenerg-11176	314	3	)	)	PUNCT
fuelectenerg-11176	314	4	may	may	AUX
fuelectenerg-11176	314	5	be	be	AUX
fuelectenerg-11176	314	6	split	split	VERB
fuelectenerg-11176	314	7	into	into	ADP
fuelectenerg-11176	314	8	two	two	NUM
fuelectenerg-11176	314	9	components	component	NOUN
fuelectenerg-11176	314	10	associated	associate	VERB
fuelectenerg-11176	314	11	to	to	ADP
fuelectenerg-11176	314	12	|0	|0	NUM
fuelectenerg-11176	314	13	〉	〉	NOUN
fuelectenerg-11176	314	14	and	and	CCONJ
fuelectenerg-11176	314	15	|1	|1	DET
fuelectenerg-11176	314	16	〉	〉	NOUN
fuelectenerg-11176	314	17	respectively	respectively	ADV
fuelectenerg-11176	314	18	,	,	PUNCT
fuelectenerg-11176	314	19	leading	lead	VERB
fuelectenerg-11176	314	20	to	to	ADP
fuelectenerg-11176	314	21	:	:	PUNCT
fuelectenerg-11176	314	22	q|1〉|〉	q|1〉|〉	X
fuelectenerg-11176	314	23	〉	〉	NOUN
fuelectenerg-11176	314	24	=	=	SYM
fuelectenerg-11176	314	25	(	(	PUNCT
fuelectenerg-11176	314	26	1/2)[(|0〉(|〉	1/2)[(|0〉(|〉	NUM
fuelectenerg-11176	314	27	〉	〉	NOUN
fuelectenerg-11176	314	28	–	–	PUNCT
fuelectenerg-11176	314	29	〉|	〉|	NOUN
fuelectenerg-11176	314	30	〉	〉	NOUN
fuelectenerg-11176	314	31	)	)	PUNCT
fuelectenerg-11176	314	32	+	+	CCONJ
fuelectenerg-11176	314	33	|1〉(|〉	|1〉(|〉	ADJ
fuelectenerg-11176	314	34	〉	〉	NOUN
fuelectenerg-11176	314	35	+	+	CCONJ
fuelectenerg-11176	314	36	〉|	〉|	NOUN
fuelectenerg-11176	314	37	〉	〉	NOUN
fuelectenerg-11176	314	38	)	)	PUNCT
fuelectenerg-11176	314	39	]	]	PUNCT
fuelectenerg-11176	314	40	.	.	PUNCT
fuelectenerg-11176	315	1	(	(	PUNCT
fuelectenerg-11176	315	2	26	26	NUM
fuelectenerg-11176	315	3	)	)	PUNCT
fuelectenerg-11176	315	4	in	in	ADP
fuelectenerg-11176	315	5	this	this	DET
fuelectenerg-11176	315	6	case	case	NOUN
fuelectenerg-11176	315	7	,	,	PUNCT
fuelectenerg-11176	315	8	if	if	SCONJ
fuelectenerg-11176	315	9	|	|	NOUN
fuelectenerg-11176	315	10	〉	〉	NOUN
fuelectenerg-11176	315	11	=	=	SYM
fuelectenerg-11176	315	12			NOUN
fuelectenerg-11176	315	13	〉	〉	NOUN
fuelectenerg-11176	315	14	,	,	PUNCT
fuelectenerg-11176	315	15	|0	|0	NUM
fuelectenerg-11176	315	16	〉	〉	NOUN
fuelectenerg-11176	315	17	would	would	AUX
fuelectenerg-11176	315	18	be	be	AUX
fuelectenerg-11176	315	19	measured	measure	VERB
fuelectenerg-11176	315	20	with	with	ADP
fuelectenerg-11176	315	21	probability	probability	NOUN
fuelectenerg-11176	315	22	0	0	NUM
fuelectenerg-11176	315	23	.	.	PUNCT
fuelectenerg-11176	316	1	a	a	DET
fuelectenerg-11176	316	2	(	(	PUNCT
fuelectenerg-11176	316	3	pseudo	pseudo	NOUN
fuelectenerg-11176	316	4	)	)	PUNCT
fuelectenerg-11176	316	5	variation	variation	NOUN
fuelectenerg-11176	316	6	may	may	AUX
fuelectenerg-11176	316	7	be	be	AUX
fuelectenerg-11176	316	8	introduced	introduce	VERB
fuelectenerg-11176	316	9	if	if	SCONJ
fuelectenerg-11176	316	10	a	a	DET
fuelectenerg-11176	316	11	signal	signal	NOUN
fuelectenerg-11176	316	12	,	,	PUNCT
fuelectenerg-11176	316	13	not	not	PART
fuelectenerg-11176	316	14	the	the	DET
fuelectenerg-11176	316	15	controlled	control	VERB
fuelectenerg-11176	316	16	swap	swap	NOUN
fuelectenerg-11176	316	17	,	,	PUNCT
fuelectenerg-11176	316	18	is	be	AUX
fuelectenerg-11176	316	19	modified	modify	VERB
fuelectenerg-11176	316	20	.	.	PUNCT
fuelectenerg-11176	317	1	recall	recall	VERB
fuelectenerg-11176	317	2	that	that	SCONJ
fuelectenerg-11176	317	3	the	the	DET
fuelectenerg-11176	317	4	pauli	pauli	PROPN
fuelectenerg-11176	317	5	x	x	X
fuelectenerg-11176	317	6	matrix	matrix	NOUN
fuelectenerg-11176	317	7	[	[	X
fuelectenerg-11176	317	8	18	18	NUM
fuelectenerg-11176	317	9	]	]	PUNCT
fuelectenerg-11176	317	10	equals	equal	VERB
fuelectenerg-11176	317	11	[	[	PUNCT
fuelectenerg-11176	317	12	0	0	NUM
fuelectenerg-11176	317	13	1	1	NUM
fuelectenerg-11176	317	14	1	1	NUM
fuelectenerg-11176	317	15	0	0	NUM
fuelectenerg-11176	317	16	]	]	PUNCT
fuelectenerg-11176	317	17	and	and	CCONJ
fuelectenerg-11176	317	18	behaves	behave	VERB
fuelectenerg-11176	317	19	as	as	ADP
fuelectenerg-11176	317	20	a	a	DET
fuelectenerg-11176	317	21	quantum	quantum	ADJ
fuelectenerg-11176	317	22	inverter	inverter	NOUN
fuelectenerg-11176	317	23	.	.	PUNCT
fuelectenerg-11176	318	1	it	it	PRON
fuelectenerg-11176	318	2	is	be	AUX
fuelectenerg-11176	318	3	fairly	fairly	ADV
fuelectenerg-11176	318	4	obvious	obvious	ADJ
fuelectenerg-11176	318	5	that	that	SCONJ
fuelectenerg-11176	318	6	if	if	SCONJ
fuelectenerg-11176	318	7	pauli	pauli	PROPN
fuelectenerg-11176	318	8	x	x	PROPN
fuelectenerg-11176	318	9	gates	gate	NOUN
fuelectenerg-11176	318	10	are	be	AUX
fuelectenerg-11176	318	11	included	include	VERB
fuelectenerg-11176	318	12	,	,	PUNCT
fuelectenerg-11176	318	13	as	as	SCONJ
fuelectenerg-11176	318	14	shown	show	VERB
fuelectenerg-11176	318	15	in	in	ADP
fuelectenerg-11176	318	16	fig	fig	NOUN
fuelectenerg-11176	318	17	.	.	PUNCT
fuelectenerg-11176	319	1	(	(	PUNCT
fuelectenerg-11176	319	2	21	21	NUM
fuelectenerg-11176	319	3	)	)	PUNCT
fuelectenerg-11176	319	4	,	,	PUNCT
fuelectenerg-11176	319	5	then	then	ADV
fuelectenerg-11176	319	6	the	the	DET
fuelectenerg-11176	319	7	complement	complement	NOUN
fuelectenerg-11176	319	8	of	of	ADP
fuelectenerg-11176	319	9	|	|	NOUN
fuelectenerg-11176	319	10	〉	〉	NOUN
fuelectenerg-11176	319	11	will	will	AUX
fuelectenerg-11176	319	12	be	be	AUX
fuelectenerg-11176	319	13	compared	compare	VERB
fuelectenerg-11176	319	14	with	with	ADP
fuelectenerg-11176	319	15			NOUN
fuelectenerg-11176	319	16	〉	〉	NOUN
fuelectenerg-11176	319	17	,	,	PUNCT
fuelectenerg-11176	319	18	which	which	PRON
fuelectenerg-11176	319	19	is	be	AUX
fuelectenerg-11176	319	20	equivalent	equivalent	ADJ
fuelectenerg-11176	319	21	to	to	PART
fuelectenerg-11176	319	22	compare	compare	VERB
fuelectenerg-11176	319	23	|	|	NOUN
fuelectenerg-11176	319	24	〉	〉	NOUN
fuelectenerg-11176	319	25	with	with	ADP
fuelectenerg-11176	319	26	the	the	DET
fuelectenerg-11176	319	27	complement	complement	NOUN
fuelectenerg-11176	319	28	of	of	ADP
fuelectenerg-11176	319	29			NOUN
fuelectenerg-11176	319	30	〉	〉	NOUN
fuelectenerg-11176	319	31	.	.	PUNCT
fuelectenerg-11176	320	1	fig	fig	NOUN
fuelectenerg-11176	320	2	.	.	PUNCT
fuelectenerg-11176	321	1	21	21	NUM
fuelectenerg-11176	321	2	.	.	PUNCT
fuelectenerg-11176	321	3	modified	modify	VERB
fuelectenerg-11176	321	4	swap	swap	NOUN
fuelectenerg-11176	321	5	test	test	NOUN
fuelectenerg-11176	321	6	circuit	circuit	NOUN
fuelectenerg-11176	321	7	to	to	PART
fuelectenerg-11176	321	8	compare	compare	VERB
fuelectenerg-11176	321	9	one	one	NUM
fuelectenerg-11176	321	10	state	state	NOUN
fuelectenerg-11176	321	11	with	with	ADP
fuelectenerg-11176	321	12	the	the	DET
fuelectenerg-11176	321	13	complement	complement	NOUN
fuelectenerg-11176	321	14	of	of	ADP
fuelectenerg-11176	321	15	another	another	PRON
fuelectenerg-11176	321	16	.	.	PUNCT
fuelectenerg-11176	322	1	the	the	DET
fuelectenerg-11176	322	2	modified	modify	VERB
fuelectenerg-11176	322	3	swap	swap	NOUN
fuelectenerg-11176	322	4	test	test	NOUN
fuelectenerg-11176	322	5	may	may	AUX
fuelectenerg-11176	322	6	be	be	AUX
fuelectenerg-11176	322	7	expressed	express	VERB
fuelectenerg-11176	322	8	as	as	ADP
fuelectenerg-11176	322	9	:	:	PUNCT
fuelectenerg-11176	322	10	(	(	PUNCT
fuelectenerg-11176	322	11	h	h	NOUN
fuelectenerg-11176	323	1	⊗	⊗	PROPN
fuelectenerg-11176	323	2	x	x	PUNCT
fuelectenerg-11176	324	1	⊗	⊗	PROPN
fuelectenerg-11176	324	2	i2)(c	i2)(c	PROPN
fuelectenerg-11176	324	3	swap)(h	swap)(h	ADJ
fuelectenerg-11176	324	4	⊗	⊗	PROPN
fuelectenerg-11176	324	5	x	x	PROPN
fuelectenerg-11176	324	6	⊗	⊗	PROPN
fuelectenerg-11176	324	7	i2	i2	PROPN
fuelectenerg-11176	324	8	)	)	PUNCT
fuelectenerg-11176	324	9	|0〉|〉	|0〉|〉	NUM
fuelectenerg-11176	324	10	〉	〉	NOUN
fuelectenerg-11176	324	11	.	.	PUNCT
fuelectenerg-11176	325	1	(	(	PUNCT
fuelectenerg-11176	325	2	27	27	NUM
fuelectenerg-11176	325	3	)	)	PUNCT
fuelectenerg-11176	325	4	the	the	DET
fuelectenerg-11176	325	5	proof	proof	NOUN
fuelectenerg-11176	325	6	of	of	ADP
fuelectenerg-11176	325	7	effectiveness	effectiveness	NOUN
fuelectenerg-11176	325	8	,	,	PUNCT
fuelectenerg-11176	325	9	i.e.	i.e.	X
fuelectenerg-11176	325	10	measuring	measure	VERB
fuelectenerg-11176	325	11			NOUN
fuelectenerg-11176	325	12	〉	〉	NOUN
fuelectenerg-11176	325	13	with	with	ADP
fuelectenerg-11176	325	14	probability	probability	NOUN
fuelectenerg-11176	325	15	0	0	NUM
fuelectenerg-11176	325	16	,	,	PUNCT
fuelectenerg-11176	325	17	follows	follow	VERB
fuelectenerg-11176	325	18	the	the	DET
fuelectenerg-11176	325	19	same	same	ADJ
fuelectenerg-11176	325	20	steps	step	NOUN
fuelectenerg-11176	325	21	as	as	ADP
fuelectenerg-11176	325	22	in	in	ADP
fuelectenerg-11176	325	23	the	the	DET
fuelectenerg-11176	325	24	former	former	ADJ
fuelectenerg-11176	325	25	first	first	ADJ
fuelectenerg-11176	325	26	case	case	NOUN
fuelectenerg-11176	325	27	.	.	PUNCT
fuelectenerg-11176	326	1	4	4	X
fuelectenerg-11176	326	2	.	.	X
fuelectenerg-11176	326	3	conclusions	conclusion	NOUN
fuelectenerg-11176	326	4	variations	variation	NOUN
fuelectenerg-11176	326	5	on	on	ADP
fuelectenerg-11176	326	6	the	the	DET
fuelectenerg-11176	326	7	fredkin	fredkin	NOUN
fuelectenerg-11176	326	8	gate	gate	NOUN
fuelectenerg-11176	326	9	,	,	PUNCT
fuelectenerg-11176	326	10	based	base	VERB
fuelectenerg-11176	326	11	on	on	ADP
fuelectenerg-11176	326	12	mixed	mixed	ADJ
fuelectenerg-11176	326	13	polarity	polarity	NOUN
fuelectenerg-11176	326	14	,	,	PUNCT
fuelectenerg-11176	326	15	have	have	AUX
fuelectenerg-11176	326	16	been	be	AUX
fuelectenerg-11176	326	17	analyzed	analyze	VERB
fuelectenerg-11176	326	18	in	in	ADP
fuelectenerg-11176	326	19	the	the	DET
fuelectenerg-11176	326	20	reversible	reversible	ADJ
fuelectenerg-11176	326	21	domain	domain	NOUN
fuelectenerg-11176	326	22	.	.	PUNCT
fuelectenerg-11176	327	1	the	the	DET
fuelectenerg-11176	327	2	or	or	CCONJ
fuelectenerg-11176	327	3	-	-	PUNCT
fuelectenerg-11176	327	4	fredkin	fredkin	NOUN
fuelectenerg-11176	327	5	gate	gate	NOUN
fuelectenerg-11176	327	6	is	be	AUX
fuelectenerg-11176	327	7	introduced	introduce	VERB
fuelectenerg-11176	327	8	and	and	CCONJ
fuelectenerg-11176	327	9	in	in	ADP
fuelectenerg-11176	327	10	all	all	PRON
fuelectenerg-11176	327	11	shown	show	VERB
fuelectenerg-11176	327	12	variation	variation	NOUN
fuelectenerg-11176	327	13	cases	case	NOUN
fuelectenerg-11176	327	14	their	their	PRON
fuelectenerg-11176	327	15	circuits	circuit	NOUN
fuelectenerg-11176	327	16	showed	show	VERB
fuelectenerg-11176	327	17	a	a	DET
fuelectenerg-11176	327	18	lower	low	ADJ
fuelectenerg-11176	327	19	complexity	complexity	NOUN
fuelectenerg-11176	327	20	(	(	PUNCT
fuelectenerg-11176	327	21	quantum	quantum	ADJ
fuelectenerg-11176	327	22	cost	cost	NOUN
fuelectenerg-11176	327	23	[	[	X
fuelectenerg-11176	327	24	22	22	NUM
fuelectenerg-11176	327	25	]	]	PUNCT
fuelectenerg-11176	327	26	,	,	PUNCT
fuelectenerg-11176	327	27	[	[	X
fuelectenerg-11176	327	28	27	27	NUM
fuelectenerg-11176	327	29	]	]	PUNCT
fuelectenerg-11176	327	30	,	,	PUNCT
fuelectenerg-11176	327	31	i.e.	i.e.	X
fuelectenerg-11176	327	32	number	number	NOUN
fuelectenerg-11176	327	33	of	of	ADP
fuelectenerg-11176	327	34	elementary	elementary	ADJ
fuelectenerg-11176	327	35	gates	gate	NOUN
fuelectenerg-11176	327	36	on	on	ADP
fuelectenerg-11176	327	37	two	two	NUM
fuelectenerg-11176	327	38	qubits	qubit	NOUN
fuelectenerg-11176	327	39	in	in	ADP
fuelectenerg-11176	327	40	the	the	DET
fuelectenerg-11176	327	41	quantum	quantum	ADJ
fuelectenerg-11176	327	42	model	model	NOUN
fuelectenerg-11176	327	43	,	,	PUNCT
fuelectenerg-11176	327	44	and	and	CCONJ
fuelectenerg-11176	327	45	depth	depth	NOUN
fuelectenerg-11176	327	46	)	)	PUNCT
fuelectenerg-11176	327	47	than	than	ADP
fuelectenerg-11176	327	48	equivalent	equivalent	ADJ
fuelectenerg-11176	327	49	classical	classical	ADJ
fuelectenerg-11176	327	50	nct	nct	ADJ
fuelectenerg-11176	327	51	circuits	circuit	NOUN
fuelectenerg-11176	327	52	.	.	PUNCT
fuelectenerg-11176	328	1	a	a	DET
fuelectenerg-11176	328	2	wide	wide	ADJ
fuelectenerg-11176	328	3	range	range	NOUN
fuelectenerg-11176	328	4	of	of	ADP
fuelectenerg-11176	328	5	functionalities	functionality	NOUN
fuelectenerg-11176	328	6	of	of	ADP
fuelectenerg-11176	328	7	the	the	DET
fuelectenerg-11176	328	8	fredkin	fredkin	NOUN
fuelectenerg-11176	328	9	gate	gate	NOUN
fuelectenerg-11176	328	10	under	under	ADP
fuelectenerg-11176	328	11	mixed	mixed	ADJ
fuelectenerg-11176	328	12	polarity	polarity	NOUN
fuelectenerg-11176	328	13	were	be	AUX
fuelectenerg-11176	328	14	shown	show	VERB
fuelectenerg-11176	328	15	,	,	PUNCT
fuelectenerg-11176	328	16	thus	thus	ADV
fuelectenerg-11176	328	17	adding	add	VERB
fuelectenerg-11176	328	18	flexibility	flexibility	NOUN
fuelectenerg-11176	328	19	to	to	ADP
fuelectenerg-11176	328	20	the	the	DET
fuelectenerg-11176	328	21	design	design	NOUN
fuelectenerg-11176	328	22	of	of	ADP
fuelectenerg-11176	328	23	reversible	reversible	ADJ
fuelectenerg-11176	328	24	circuits	circuit	NOUN
fuelectenerg-11176	328	25	.	.	PUNCT
fuelectenerg-11176	329	1	some	some	DET
fuelectenerg-11176	329	2	equivalent	equivalent	ADJ
fuelectenerg-11176	329	3	variations	variation	NOUN
fuelectenerg-11176	329	4	were	be	AUX
fuelectenerg-11176	329	5	found	find	VERB
fuelectenerg-11176	329	6	and	and	CCONJ
fuelectenerg-11176	329	7	associated	associated	ADJ
fuelectenerg-11176	329	8	patterns	pattern	NOUN
fuelectenerg-11176	329	9	of	of	ADP
fuelectenerg-11176	329	10	distribution	distribution	NOUN
fuelectenerg-11176	329	11	of	of	ADP
fuelectenerg-11176	329	12	the	the	DET
fuelectenerg-11176	329	13	white	white	ADJ
fuelectenerg-11176	329	14	elements	element	NOUN
fuelectenerg-11176	329	15	could	could	AUX
fuelectenerg-11176	329	16	be	be	AUX
fuelectenerg-11176	329	17	detected	detect	VERB
fuelectenerg-11176	329	18	.	.	PUNCT
fuelectenerg-11176	330	1	in	in	ADP
fuelectenerg-11176	330	2	the	the	DET
fuelectenerg-11176	330	3	quantum	quantum	ADJ
fuelectenerg-11176	330	4	domain	domain	NOUN
fuelectenerg-11176	330	5	an	an	DET
fuelectenerg-11176	330	6	application	application	NOUN
fuelectenerg-11176	330	7	of	of	ADP
fuelectenerg-11176	330	8	the	the	DET
fuelectenerg-11176	330	9	controlled	control	VERB
fuelectenerg-11176	330	10	swap	swap	NOUN
fuelectenerg-11176	330	11	to	to	PART
fuelectenerg-11176	330	12	efficiently	efficiently	ADV
fuelectenerg-11176	330	13	test	test	VERB
fuelectenerg-11176	330	14	whether	whether	SCONJ
fuelectenerg-11176	330	15	two	two	NUM
fuelectenerg-11176	330	16	states	state	NOUN
fuelectenerg-11176	330	17	are	be	AUX
fuelectenerg-11176	330	18	equivalent	equivalent	ADJ
fuelectenerg-11176	330	19	was	be	AUX
fuelectenerg-11176	330	20	given	give	VERB
fuelectenerg-11176	330	21	a	a	DET
fuelectenerg-11176	330	22	step	step	NOUN
fuelectenerg-11176	330	23	by	by	ADP
fuelectenerg-11176	330	24	step	step	NOUN
fuelectenerg-11176	330	25	calculation	calculation	NOUN
fuelectenerg-11176	330	26	of	of	ADP
fuelectenerg-11176	330	27	behaviour	behaviour	NOUN
fuelectenerg-11176	330	28	and	and	CCONJ
fuelectenerg-11176	330	29	one	one	NUM
fuelectenerg-11176	330	30	possible	possible	ADJ
fuelectenerg-11176	330	31	extension	extension	NOUN
fuelectenerg-11176	330	32	of	of	ADP
fuelectenerg-11176	330	33	the	the	DET
fuelectenerg-11176	330	34	test	test	NOUN
fuelectenerg-11176	330	35	circuit	circuit	NOUN
fuelectenerg-11176	330	36	was	be	AUX
fuelectenerg-11176	330	37	shown	show	VERB
fuelectenerg-11176	330	38	.	.	PUNCT
fuelectenerg-11176	331	1	•	•	NUM
fuelectenerg-11176	331	2	266	266	NUM
fuelectenerg-11176	331	3	c.	c.	PROPN
fuelectenerg-11176	331	4	moraga	moraga	PROPN
fuelectenerg-11176	331	5	,	,	PUNCT
fuelectenerg-11176	331	6	f.	f.	PROPN
fuelectenerg-11176	331	7	z.	z.	PROPN
fuelectenerg-11176	331	8	hadjam	hadjam	PROPN
fuelectenerg-11176	331	9	references	reference	NOUN
fuelectenerg-11176	331	10	[	[	X
fuelectenerg-11176	331	11	1	1	NUM
fuelectenerg-11176	331	12	]	]	PUNCT
fuelectenerg-11176	331	13	a.	a.	NOUN
fuelectenerg-11176	331	14	barenco	barenco	NOUN
fuelectenerg-11176	331	15	,	,	PUNCT
fuelectenerg-11176	331	16	c.	c.	PROPN
fuelectenerg-11176	331	17	h.	h.	PROPN
fuelectenerg-11176	331	18	bennett	bennett	PROPN
fuelectenerg-11176	331	19	,	,	PUNCT
fuelectenerg-11176	331	20	r.	r.	PROPN
fuelectenerg-11176	331	21	cleve	cleve	PROPN
fuelectenerg-11176	331	22	,	,	PUNCT
fuelectenerg-11176	331	23	d.	d.	PROPN
fuelectenerg-11176	331	24	p.	p.	PROPN
fuelectenerg-11176	331	25	di	di	PROPN
fuelectenerg-11176	331	26	vincenzo	vincenzo	PROPN
fuelectenerg-11176	331	27	,	,	PUNCT
fuelectenerg-11176	331	28	n.	n.	NOUN
fuelectenerg-11176	331	29	margolus	margolus	NOUN
fuelectenerg-11176	331	30	,	,	PUNCT
fuelectenerg-11176	331	31	p.	p.	PROPN
fuelectenerg-11176	331	32	shor	shor	PROPN
fuelectenerg-11176	331	33	,	,	PUNCT
fuelectenerg-11176	331	34	t.	t.	PROPN
fuelectenerg-11176	331	35	sleator	sleator	PROPN
fuelectenerg-11176	331	36	,	,	PUNCT
fuelectenerg-11176	331	37	j.	j.	PROPN
fuelectenerg-11176	331	38	a.	a.	PROPN
fuelectenerg-11176	331	39	=	=	PROPN
fuelectenerg-11176	331	40	smolin	smolin	PROPN
fuelectenerg-11176	331	41	,	,	PUNCT
fuelectenerg-11176	331	42	and	and	CCONJ
fuelectenerg-11176	331	43	h.	h.	PROPN
fuelectenerg-11176	331	44	weinfurter	weinfurter	NOUN
fuelectenerg-11176	331	45	,	,	PUNCT
fuelectenerg-11176	331	46	"	"	PUNCT
fuelectenerg-11176	331	47	elementary	elementary	ADJ
fuelectenerg-11176	331	48	gates	gate	NOUN
fuelectenerg-11176	331	49	for	for	ADP
fuelectenerg-11176	331	50	quantum	quantum	ADJ
fuelectenerg-11176	331	51	computation	computation	NOUN
fuelectenerg-11176	331	52	"	"	PUNCT
fuelectenerg-11176	331	53	,	,	PUNCT
fuelectenerg-11176	331	54	phys	phy	NOUN
fuelectenerg-11176	331	55	.	.	PUNCT
fuelectenerg-11176	332	1	rev	rev	PROPN
fuelectenerg-11176	332	2	.	.	PROPN
fuelectenerg-11176	333	1	a	a	DET
fuelectenerg-11176	333	2	,	,	PUNCT
fuelectenerg-11176	333	3	vol	vol	NOUN
fuelectenerg-11176	333	4	.	.	PROPN
fuelectenerg-11176	334	1	52	52	NUM
fuelectenerg-11176	334	2	,	,	PUNCT
fuelectenerg-11176	334	3	pp	pp	ADJ
fuelectenerg-11176	334	4	.	.	PUNCT
fuelectenerg-11176	335	1	3457	3457	NUM
fuelectenerg-11176	335	2	-	-	SYM
fuelectenerg-11176	335	3	3467	3467	NUM
fuelectenerg-11176	335	4	,	,	PUNCT
fuelectenerg-11176	335	5	1995	1995	NUM
fuelectenerg-11176	335	6	.	.	PUNCT
fuelectenerg-11176	336	1	[	[	X
fuelectenerg-11176	336	2	2	2	NUM
fuelectenerg-11176	336	3	]	]	PUNCT
fuelectenerg-11176	336	4	c.	c.	PROPN
fuelectenerg-11176	336	5	bennett	bennett	PROPN
fuelectenerg-11176	336	6	,	,	PUNCT
fuelectenerg-11176	336	7	"	"	PUNCT
fuelectenerg-11176	336	8	logical	logical	ADJ
fuelectenerg-11176	336	9	reversibility	reversibility	NOUN
fuelectenerg-11176	336	10	of	of	ADP
fuelectenerg-11176	336	11	computation	computation	NOUN
fuelectenerg-11176	336	12	"	"	PUNCT
fuelectenerg-11176	336	13	,	,	PUNCT
fuelectenerg-11176	336	14	ibm	ibm	PROPN
fuelectenerg-11176	336	15	j.	j.	PROPN
fuelectenerg-11176	336	16	res	res	PROPN
fuelectenerg-11176	336	17	.	.	PUNCT
fuelectenerg-11176	337	1	develop	develop	VERB
fuelectenerg-11176	337	2	.	.	PUNCT
fuelectenerg-11176	338	1	,	,	PUNCT
fuelectenerg-11176	338	2	vol	vol	NOUN
fuelectenerg-11176	338	3	.	.	PROPN
fuelectenerg-11176	338	4	17	17	NUM
fuelectenerg-11176	338	5	,	,	PUNCT
fuelectenerg-11176	338	6	pp	pp	ADJ
fuelectenerg-11176	338	7	.	.	PUNCT
fuelectenerg-11176	339	1	525	525	NUM
fuelectenerg-11176	339	2	-	-	SYM
fuelectenerg-11176	339	3	532	532	NUM
fuelectenerg-11176	339	4	,	,	PUNCT
fuelectenerg-11176	339	5	1973	1973	NUM
fuelectenerg-11176	339	6	.	.	PUNCT
fuelectenerg-11176	340	1	[	[	X
fuelectenerg-11176	340	2	3	3	X
fuelectenerg-11176	340	3	]	]	X
fuelectenerg-11176	340	4	h.	h.	PROPN
fuelectenerg-11176	340	5	buhrman	buhrman	PROPN
fuelectenerg-11176	340	6	,	,	PUNCT
fuelectenerg-11176	340	7	r.	r.	PROPN
fuelectenerg-11176	340	8	cleve	cleve	PROPN
fuelectenerg-11176	340	9	,	,	PUNCT
fuelectenerg-11176	340	10	j.	j.	PROPN
fuelectenerg-11176	340	11	watrous	watrous	PROPN
fuelectenerg-11176	340	12	and	and	CCONJ
fuelectenerg-11176	340	13	r.	r.	PROPN
fuelectenerg-11176	340	14	de	de	PROPN
fuelectenerg-11176	340	15	wolf	wolf	PROPN
fuelectenerg-11176	340	16	,	,	PUNCT
fuelectenerg-11176	340	17	"	"	PUNCT
fuelectenerg-11176	340	18	quantum	quantum	ADJ
fuelectenerg-11176	340	19	fingerprinting	fingerprinting	NOUN
fuelectenerg-11176	340	20	"	"	PUNCT
fuelectenerg-11176	340	21	,	,	PUNCT
fuelectenerg-11176	340	22	phys	phy	NOUN
fuelectenerg-11176	340	23	.	.	PUNCT
fuelectenerg-11176	341	1	rev	rev	PROPN
fuelectenerg-11176	341	2	.	.	PROPN
fuelectenerg-11176	341	3	lett	lett	PROPN
fuelectenerg-11176	341	4	.	.	PROPN
fuelectenerg-11176	341	5	,	,	PUNCT
fuelectenerg-11176	341	6	vol	vol	NOUN
fuelectenerg-11176	341	7	.	.	PROPN
fuelectenerg-11176	342	1	87	87	NUM
fuelectenerg-11176	342	2	,	,	PUNCT
fuelectenerg-11176	342	3	no	no	INTJ
fuelectenerg-11176	342	4	.	.	NOUN
fuelectenerg-11176	342	5	16	16	NUM
fuelectenerg-11176	342	6	,	,	PUNCT
fuelectenerg-11176	342	7	p.	p.	NOUN
fuelectenerg-11176	342	8	167902	167902	NUM
fuelectenerg-11176	342	9	-	-	SYM
fuelectenerg-11176	342	10	1	1	NUM
fuelectenerg-11176	342	11	-	-	SYM
fuelectenerg-11176	342	12	4	4	NUM
fuelectenerg-11176	342	13	,	,	PUNCT
fuelectenerg-11176	342	14	2001	2001	NUM
fuelectenerg-11176	342	15	.	.	PUNCT
fuelectenerg-11176	343	1	[	[	X
fuelectenerg-11176	343	2	4	4	X
fuelectenerg-11176	343	3	]	]	PUNCT
fuelectenerg-11176	343	4	c.	c.	PROPN
fuelectenerg-11176	343	5	s.	s.	PROPN
fuelectenerg-11176	343	6	cheng	cheng	PROPN
fuelectenerg-11176	343	7	and	and	CCONJ
fuelectenerg-11176	343	8	a.	a.	PROPN
fuelectenerg-11176	343	9	k.	k.	PROPN
fuelectenerg-11176	343	10	singh	singh	PROPN
fuelectenerg-11176	343	11	,	,	PUNCT
fuelectenerg-11176	343	12	"	"	PUNCT
fuelectenerg-11176	343	13	heuristic	heuristic	ADJ
fuelectenerg-11176	343	14	synthesis	synthesis	NOUN
fuelectenerg-11176	343	15	of	of	ADP
fuelectenerg-11176	343	16	reversible	reversible	ADJ
fuelectenerg-11176	343	17	logic	logic	NOUN
fuelectenerg-11176	343	18	–	–	PUNCT
fuelectenerg-11176	343	19	a	a	DET
fuelectenerg-11176	343	20	comparative	comparative	ADJ
fuelectenerg-11176	343	21	study	study	NOUN
fuelectenerg-11176	343	22	"	"	PUNCT
fuelectenerg-11176	343	23	,	,	PUNCT
fuelectenerg-11176	343	24	theoretical	theoretical	ADJ
fuelectenerg-11176	343	25	appl	appl	NOUN
fuelectenerg-11176	343	26	.	.	PUNCT
fuelectenerg-11176	344	1	electr	electr	PROPN
fuelectenerg-11176	344	2	.	.	PUNCT
fuelectenerg-11176	345	1	eng	eng	PROPN
fuelectenerg-11176	345	2	.	.	PROPN
fuelectenerg-11176	345	3	,	,	PUNCT
fuelectenerg-11176	345	4	vol	vol	NOUN
fuelectenerg-11176	345	5	.	.	PROPN
fuelectenerg-11176	345	6	12	12	NUM
fuelectenerg-11176	345	7	,	,	PUNCT
fuelectenerg-11176	345	8	no	no	INTJ
fuelectenerg-11176	345	9	.	.	NOUN
fuelectenerg-11176	345	10	3	3	NUM
fuelectenerg-11176	345	11	,	,	PUNCT
fuelectenerg-11176	345	12	pp	pp	ADJ
fuelectenerg-11176	345	13	.	.	PUNCT
fuelectenerg-11176	346	1	210	210	NUM
fuelectenerg-11176	346	2	-	-	SYM
fuelectenerg-11176	346	3	225	225	NUM
fuelectenerg-11176	346	4	,	,	PUNCT
fuelectenerg-11176	346	5	2014	2014	NUM
fuelectenerg-11176	346	6	.	.	PUNCT
fuelectenerg-11176	347	1	[	[	X
fuelectenerg-11176	347	2	5	5	NUM
fuelectenerg-11176	347	3	]	]	PUNCT
fuelectenerg-11176	347	4	o.	o.	NOUN
fuelectenerg-11176	347	5	dovhamuk	dovhamuk	ADJ
fuelectenerg-11176	347	6	and	and	CCONJ
fuelectenerg-11176	347	7	v.	v.	ADP
fuelectenerg-11176	347	8	deibuk	deibuk	NOUN
fuelectenerg-11176	347	9	,	,	PUNCT
fuelectenerg-11176	347	10	“	"	PUNCT
fuelectenerg-11176	347	11	cmos	cmos	PROPN
fuelectenerg-11176	347	12	simulation	simulation	NOUN
fuelectenerg-11176	347	13	of	of	ADP
fuelectenerg-11176	347	14	mixed	mixed	ADJ
fuelectenerg-11176	347	15	-	-	PUNCT
fuelectenerg-11176	347	16	polarity	polarity	NOUN
fuelectenerg-11176	347	17	generalized	generalize	VERB
fuelectenerg-11176	347	18	fredkin	fredkin	NOUN
fuelectenerg-11176	347	19	gates	gate	NOUN
fuelectenerg-11176	347	20	"	"	PUNCT
fuelectenerg-11176	347	21	,	,	PUNCT
fuelectenerg-11176	347	22	in	in	ADP
fuelectenerg-11176	347	23	proceedings	proceeding	NOUN
fuelectenerg-11176	347	24	of	of	ADP
fuelectenerg-11176	347	25	the	the	DET
fuelectenerg-11176	347	26	12th	12th	ADJ
fuelectenerg-11176	347	27	international	international	ADJ
fuelectenerg-11176	347	28	conference	conference	NOUN
fuelectenerg-11176	347	29	on	on	ADP
fuelectenerg-11176	347	30	advanced	advanced	ADJ
fuelectenerg-11176	347	31	computer	computer	NOUN
fuelectenerg-11176	347	32	information	information	NOUN
fuelectenerg-11176	347	33	technologies	technology	NOUN
fuelectenerg-11176	347	34	(	(	PUNCT
fuelectenerg-11176	347	35	acit	acit	ADJ
fuelectenerg-11176	347	36	)	)	PUNCT
fuelectenerg-11176	347	37	,	,	PUNCT
fuelectenerg-11176	347	38	ieee	ieee	NOUN
fuelectenerg-11176	347	39	press	press	NOUN
fuelectenerg-11176	347	40	,	,	PUNCT
fuelectenerg-11176	347	41	2022	2022	NUM
fuelectenerg-11176	347	42	.	.	PUNCT
fuelectenerg-11176	348	1	[	[	X
fuelectenerg-11176	348	2	6	6	NUM
fuelectenerg-11176	348	3	]	]	PUNCT
fuelectenerg-11176	348	4	e.	e.	PROPN
fuelectenerg-11176	348	5	fredkin	fredkin	PROPN
fuelectenerg-11176	348	6	and	and	CCONJ
fuelectenerg-11176	348	7	t.	t.	PROPN
fuelectenerg-11176	348	8	toffoli	toffoli	PROPN
fuelectenerg-11176	348	9	,	,	PUNCT
fuelectenerg-11176	348	10	"	"	PUNCT
fuelectenerg-11176	348	11	conservative	conservative	ADJ
fuelectenerg-11176	348	12	logic	logic	NOUN
fuelectenerg-11176	348	13	"	"	PUNCT
fuelectenerg-11176	348	14	,	,	PUNCT
fuelectenerg-11176	348	15	int	int	PROPN
fuelectenerg-11176	348	16	.	.	PUNCT
fuelectenerg-11176	349	1	jr	jr	PROPN
fuelectenerg-11176	349	2	.	.	PROPN
fuelectenerg-11176	349	3	theor	theor	PROPN
fuelectenerg-11176	349	4	.	.	PUNCT
fuelectenerg-11176	350	1	phys	phy	NOUN
fuelectenerg-11176	350	2	.	.	PUNCT
fuelectenerg-11176	350	3	,	,	PUNCT
fuelectenerg-11176	350	4	vol	vol	NOUN
fuelectenerg-11176	350	5	.	.	PROPN
fuelectenerg-11176	350	6	21	21	NUM
fuelectenerg-11176	350	7	,	,	PUNCT
fuelectenerg-11176	350	8	no	no	INTJ
fuelectenerg-11176	350	9	.	.	NOUN
fuelectenerg-11176	350	10	3/4	3/4	NUM
fuelectenerg-11176	350	11	,	,	PUNCT
fuelectenerg-11176	350	12	pp	pp	ADJ
fuelectenerg-11176	350	13	.	.	PUNCT
fuelectenerg-11176	351	1	219	219	NUM
fuelectenerg-11176	351	2	-	-	SYM
fuelectenerg-11176	351	3	253	253	NUM
fuelectenerg-11176	351	4	,	,	PUNCT
fuelectenerg-11176	351	5	1982	1982	NUM
fuelectenerg-11176	351	6	.	.	PUNCT
fuelectenerg-11176	352	1	[	[	X
fuelectenerg-11176	352	2	7	7	X
fuelectenerg-11176	352	3	]	]	PUNCT
fuelectenerg-11176	352	4	f.	f.	PROPN
fuelectenerg-11176	352	5	z.	z.	PROPN
fuelectenerg-11176	352	6	hadjam	hadjam	PROPN
fuelectenerg-11176	352	7	and	and	CCONJ
fuelectenerg-11176	352	8	c.	c.	PROPN
fuelectenerg-11176	352	9	moraga	moraga	PROPN
fuelectenerg-11176	352	10	,	,	PUNCT
fuelectenerg-11176	352	11	"	"	PUNCT
fuelectenerg-11176	352	12	rimep2	rimep2	NOUN
fuelectenerg-11176	352	13	.	.	PUNCT
fuelectenerg-11176	353	1	evolutionary	evolutionary	ADJ
fuelectenerg-11176	353	2	design	design	NOUN
fuelectenerg-11176	353	3	of	of	ADP
fuelectenerg-11176	353	4	reversible	reversible	ADJ
fuelectenerg-11176	353	5	digital	digital	ADJ
fuelectenerg-11176	353	6	circuits	circuit	NOUN
fuelectenerg-11176	353	7	"	"	PUNCT
fuelectenerg-11176	353	8	,	,	PUNCT
fuelectenerg-11176	353	9	acm	acm	PROPN
fuelectenerg-11176	353	10	j.	j.	PROPN
fuelectenerg-11176	353	11	emerg	emerg	PROPN
fuelectenerg-11176	353	12	.	.	PUNCT
fuelectenerg-11176	354	1	technol	technol	PROPN
fuelectenerg-11176	354	2	.	.	PUNCT
fuelectenerg-11176	355	1	comput	comput	PROPN
fuelectenerg-11176	355	2	.	.	PUNCT
fuelectenerg-11176	356	1	syst	syst	PROPN
fuelectenerg-11176	356	2	.	.	PUNCT
fuelectenerg-11176	356	3	,	,	PUNCT
fuelectenerg-11176	356	4	vol	vol	NOUN
fuelectenerg-11176	356	5	.	.	PROPN
fuelectenerg-11176	356	6	11	11	NUM
fuelectenerg-11176	356	7	,	,	PUNCT
fuelectenerg-11176	356	8	no	no	INTJ
fuelectenerg-11176	356	9	.	.	NOUN
fuelectenerg-11176	356	10	3	3	NUM
fuelectenerg-11176	356	11	,	,	PUNCT
fuelectenerg-11176	356	12	pp	pp	ADJ
fuelectenerg-11176	356	13	.	.	PUNCT
fuelectenerg-11176	357	1	27:1	27:1	NUM
fuelectenerg-11176	357	2	-	-	SYM
fuelectenerg-11176	357	3	27:23	27:23	NUM
fuelectenerg-11176	357	4	,	,	PUNCT
fuelectenerg-11176	357	5	2014	2014	NUM
fuelectenerg-11176	357	6	.	.	PUNCT
fuelectenerg-11176	358	1	[	[	X
fuelectenerg-11176	358	2	8	8	NUM
fuelectenerg-11176	358	3	]	]	PUNCT
fuelectenerg-11176	358	4	f.	f.	PROPN
fuelectenerg-11176	358	5	z.	z.	PROPN
fuelectenerg-11176	358	6	hadjam	hadjam	PROPN
fuelectenerg-11176	358	7	and	and	CCONJ
fuelectenerg-11176	358	8	c.	c.	PROPN
fuelectenerg-11176	358	9	moraga	moraga	PROPN
fuelectenerg-11176	358	10	,	,	PUNCT
fuelectenerg-11176	358	11	"	"	PUNCT
fuelectenerg-11176	358	12	a	a	DET
fuelectenerg-11176	358	13	hierarchical	hierarchical	ADJ
fuelectenerg-11176	358	14	distributed	distribute	VERB
fuelectenerg-11176	358	15	linear	linear	ADJ
fuelectenerg-11176	358	16	evolutionary	evolutionary	ADJ
fuelectenerg-11176	358	17	system	system	NOUN
fuelectenerg-11176	358	18	for	for	ADP
fuelectenerg-11176	358	19	the	the	DET
fuelectenerg-11176	358	20	synthesis	synthesis	NOUN
fuelectenerg-11176	358	21	of	of	ADP
fuelectenerg-11176	358	22	4	4	NUM
fuelectenerg-11176	358	23	-	-	PUNCT
fuelectenerg-11176	358	24	bit	bit	NOUN
fuelectenerg-11176	358	25	reversible	reversible	ADJ
fuelectenerg-11176	358	26	circuits	circuit	NOUN
fuelectenerg-11176	358	27	"	"	PUNCT
fuelectenerg-11176	358	28	in	in	ADP
fuelectenerg-11176	358	29	r.	r.	PROPN
fuelectenerg-11176	358	30	seising	seising	NOUN
fuelectenerg-11176	358	31	and	and	CCONJ
fuelectenerg-11176	358	32	h.	h.	PROPN
fuelectenerg-11176	358	33	allende	allende	PROPN
fuelectenerg-11176	358	34	-	-	PUNCT
fuelectenerg-11176	358	35	cid	cid	PROPN
fuelectenerg-11176	358	36	(	(	PUNCT
fuelectenerg-11176	358	37	eds	ed	NOUN
fuelectenerg-11176	358	38	.	.	PUNCT
fuelectenerg-11176	358	39	)	)	PUNCT
fuelectenerg-11176	358	40	,	,	PUNCT
fuelectenerg-11176	358	41	studies	study	NOUN
fuelectenerg-11176	358	42	in	in	ADP
fuelectenerg-11176	358	43	fuzziness	fuzziness	NOUN
fuelectenerg-11176	358	44	and	and	CCONJ
fuelectenerg-11176	358	45	soft	soft	ADJ
fuelectenerg-11176	358	46	computing	computing	NOUN
fuelectenerg-11176	358	47	349	349	NUM
fuelectenerg-11176	358	48	,	,	PUNCT
fuelectenerg-11176	358	49	pp	pp	ADJ
fuelectenerg-11176	358	50	.	.	PUNCT
fuelectenerg-11176	359	1	233249	233249	NUM
fuelectenerg-11176	359	2	.	.	PUNCT
fuelectenerg-11176	360	1	springer	springer	NOUN
fuelectenerg-11176	360	2	,	,	PUNCT
fuelectenerg-11176	360	3	2017	2017	NUM
fuelectenerg-11176	360	4	.	.	PUNCT
fuelectenerg-11176	361	1	[	[	X
fuelectenerg-11176	361	2	9	9	NUM
fuelectenerg-11176	361	3	]	]	X
fuelectenerg-11176	361	4	r.	r.	PROPN
fuelectenerg-11176	361	5	landauer	landauer	PROPN
fuelectenerg-11176	361	6	,	,	PUNCT
fuelectenerg-11176	361	7	"	"	PUNCT
fuelectenerg-11176	361	8	irreversibility	irreversibility	NOUN
fuelectenerg-11176	361	9	and	and	CCONJ
fuelectenerg-11176	361	10	heat	heat	NOUN
fuelectenerg-11176	361	11	generation	generation	NOUN
fuelectenerg-11176	361	12	in	in	ADP
fuelectenerg-11176	361	13	the	the	DET
fuelectenerg-11176	361	14	computing	computing	NOUN
fuelectenerg-11176	361	15	process	process	NOUN
fuelectenerg-11176	361	16	"	"	PUNCT
fuelectenerg-11176	361	17	ibm	ibm	PROPN
fuelectenerg-11176	361	18	j.	j.	PROPN
fuelectenerg-11176	361	19	res	res	PROPN
fuelectenerg-11176	361	20	.	.	PUNCT
fuelectenerg-11176	362	1	develop	develop	VERB
fuelectenerg-11176	362	2	.	.	PUNCT
fuelectenerg-11176	363	1	,	,	PUNCT
fuelectenerg-11176	363	2	vol	vol	NOUN
fuelectenerg-11176	363	3	.	.	PROPN
fuelectenerg-11176	363	4	5	5	NUM
fuelectenerg-11176	363	5	,	,	PUNCT
fuelectenerg-11176	363	6	pp	pp	ADJ
fuelectenerg-11176	363	7	.	.	PUNCT
fuelectenerg-11176	364	1	183191	183191	NUM
fuelectenerg-11176	364	2	,	,	PUNCT
fuelectenerg-11176	364	3	1961	1961	NUM
fuelectenerg-11176	364	4	.	.	PUNCT
fuelectenerg-11176	365	1	[	[	X
fuelectenerg-11176	365	2	10	10	NUM
fuelectenerg-11176	365	3	]	]	PUNCT
fuelectenerg-11176	365	4	m.	m.	NOUN
fuelectenerg-11176	365	5	lukac	lukac	PROPN
fuelectenerg-11176	365	6	,	,	PUNCT
fuelectenerg-11176	365	7	m.	m.	PROPN
fuelectenerg-11176	365	8	a.	a.	PROPN
fuelectenerg-11176	365	9	perkowski	perkowski	PROPN
fuelectenerg-11176	365	10	,	,	PUNCT
fuelectenerg-11176	365	11	h.	h.	PROPN
fuelectenerg-11176	365	12	goi	goi	PROPN
fuelectenerg-11176	365	13	,	,	PUNCT
fuelectenerg-11176	365	14	m.	m.	NOUN
fuelectenerg-11176	365	15	pivtoraiko	pivtoraiko	PROPN
fuelectenerg-11176	365	16	,	,	PUNCT
fuelectenerg-11176	365	17	ch	ch	PROPN
fuelectenerg-11176	365	18	.	.	PUNCT
fuelectenerg-11176	365	19	h.	h.	PROPN
fuelectenerg-11176	365	20	yu	yu	PROPN
fuelectenerg-11176	365	21	,	,	PUNCT
fuelectenerg-11176	365	22	k.	k.	PROPN
fuelectenerg-11176	365	23	chung	chung	PROPN
fuelectenerg-11176	365	24	,	,	PUNCT
fuelectenerg-11176	365	25	h.	h.	PROPN
fuelectenerg-11176	365	26	jeech	jeech	PROPN
fuelectenerg-11176	365	27	,	,	PUNCT
fuelectenerg-11176	365	28	b.-g	b.-g	PROPN
fuelectenerg-11176	365	29	.	.	PUNCT
fuelectenerg-11176	366	1	kim	kim	PROPN
fuelectenerg-11176	366	2	and	and	CCONJ
fuelectenerg-11176	366	3	y.	y.	PROPN
fuelectenerg-11176	366	4	d.	d.	PROPN
fuelectenerg-11176	366	5	kim	kim	PROPN
fuelectenerg-11176	366	6	,	,	PUNCT
fuelectenerg-11176	366	7	"	"	PUNCT
fuelectenerg-11176	366	8	evolutionary	evolutionary	ADJ
fuelectenerg-11176	366	9	approach	approach	NOUN
fuelectenerg-11176	366	10	to	to	ADP
fuelectenerg-11176	366	11	quantum	quantum	ADJ
fuelectenerg-11176	366	12	and	and	CCONJ
fuelectenerg-11176	366	13	reversible	reversible	ADJ
fuelectenerg-11176	366	14	circuits	circuit	NOUN
fuelectenerg-11176	366	15	synthesis	synthesis	NOUN
fuelectenerg-11176	366	16	"	"	PUNCT
fuelectenerg-11176	366	17	,	,	PUNCT
fuelectenerg-11176	366	18	artif	artif	INTJ
fuelectenerg-11176	366	19	.	.	PUNCT
fuelectenerg-11176	367	1	intell	intell	PROPN
fuelectenerg-11176	367	2	.	.	PUNCT
fuelectenerg-11176	368	1	rev	rev	PROPN
fuelectenerg-11176	368	2	.	.	PROPN
fuelectenerg-11176	368	3	,	,	PUNCT
fuelectenerg-11176	368	4	vol	vol	NOUN
fuelectenerg-11176	368	5	.	.	PROPN
fuelectenerg-11176	368	6	20	20	NUM
fuelectenerg-11176	368	7	,	,	PUNCT
fuelectenerg-11176	368	8	no	no	INTJ
fuelectenerg-11176	368	9	.	.	NOUN
fuelectenerg-11176	369	1	3	3	NUM
fuelectenerg-11176	369	2	-	-	SYM
fuelectenerg-11176	369	3	4	4	NUM
fuelectenerg-11176	369	4	,	,	PUNCT
fuelectenerg-11176	369	5	pp	pp	ADJ
fuelectenerg-11176	369	6	.	.	PUNCT
fuelectenerg-11176	370	1	361	361	NUM
fuelectenerg-11176	370	2	-	-	SYM
fuelectenerg-11176	370	3	417	417	NUM
fuelectenerg-11176	370	4	,	,	PUNCT
fuelectenerg-11176	370	5	2003	2003	NUM
fuelectenerg-11176	370	6	.	.	PUNCT
fuelectenerg-11176	371	1	[	[	X
fuelectenerg-11176	371	2	11	11	NUM
fuelectenerg-11176	371	3	]	]	X
fuelectenerg-11176	371	4	d.	d.	PROPN
fuelectenerg-11176	371	5	maslov	maslov	PROPN
fuelectenerg-11176	371	6	,	,	PUNCT
fuelectenerg-11176	371	7	g.	g.	PROPN
fuelectenerg-11176	371	8	w.	w.	PROPN
fuelectenerg-11176	371	9	dueck	dueck	PROPN
fuelectenerg-11176	371	10	and	and	CCONJ
fuelectenerg-11176	371	11	d.	d.	PROPN
fuelectenerg-11176	371	12	m.	m.	PROPN
fuelectenerg-11176	371	13	miller	miller	PROPN
fuelectenerg-11176	371	14	,	,	PUNCT
fuelectenerg-11176	371	15	"	"	PUNCT
fuelectenerg-11176	371	16	synthesis	synthesis	NOUN
fuelectenerg-11176	371	17	of	of	ADP
fuelectenerg-11176	371	18	fredkin	fredkin	NOUN
fuelectenerg-11176	371	19	-	-	PUNCT
fuelectenerg-11176	371	20	toffoli	toffoli	NOUN
fuelectenerg-11176	371	21	reversible	reversible	ADJ
fuelectenerg-11176	371	22	networks	network	NOUN
fuelectenerg-11176	371	23	"	"	PUNCT
fuelectenerg-11176	371	24	,	,	PUNCT
fuelectenerg-11176	371	25	ieee	ieee	NOUN
fuelectenerg-11176	371	26	trans	tran	NOUN
fuelectenerg-11176	371	27	.	.	PUNCT
fuelectenerg-11176	372	1	very	very	ADV
fuelectenerg-11176	372	2	large	large	ADJ
fuelectenerg-11176	372	3	scale	scale	NOUN
fuelectenerg-11176	372	4	integ	integ	NOUN
fuelectenerg-11176	372	5	.	.	PUNCT
fuelectenerg-11176	373	1	(	(	PUNCT
fuelectenerg-11176	373	2	vlsi	vlsi	PROPN
fuelectenerg-11176	373	3	)	)	PUNCT
fuelectenerg-11176	373	4	syst	syst	PROPN
fuelectenerg-11176	373	5	.	.	PUNCT
fuelectenerg-11176	373	6	,	,	PUNCT
fuelectenerg-11176	373	7	vol	vol	NOUN
fuelectenerg-11176	373	8	.	.	PROPN
fuelectenerg-11176	373	9	13	13	NUM
fuelectenerg-11176	373	10	,	,	PUNCT
fuelectenerg-11176	373	11	no	no	INTJ
fuelectenerg-11176	373	12	.	.	NOUN
fuelectenerg-11176	373	13	6	6	NUM
fuelectenerg-11176	373	14	,	,	PUNCT
fuelectenerg-11176	373	15	pp	pp	ADJ
fuelectenerg-11176	373	16	.	.	PUNCT
fuelectenerg-11176	374	1	765	765	NUM
fuelectenerg-11176	374	2	-	-	SYM
fuelectenerg-11176	374	3	769	769	NUM
fuelectenerg-11176	374	4	,	,	PUNCT
fuelectenerg-11176	374	5	2005	2005	NUM
fuelectenerg-11176	374	6	.	.	PUNCT
fuelectenerg-11176	375	1	[	[	X
fuelectenerg-11176	375	2	12	12	NUM
fuelectenerg-11176	375	3	]	]	PUNCT
fuelectenerg-11176	375	4	m.	m.	PROPN
fuelectenerg-11176	375	5	d.	d.	PROPN
fuelectenerg-11176	375	6	miller	miller	PROPN
fuelectenerg-11176	375	7	and	and	CCONJ
fuelectenerg-11176	375	8	g.	g.	PROPN
fuelectenerg-11176	375	9	w.	w.	PROPN
fuelectenerg-11176	375	10	dueck	dueck	PROPN
fuelectenerg-11176	375	11	,	,	PUNCT
fuelectenerg-11176	375	12	"	"	PUNCT
fuelectenerg-11176	375	13	search	search	NOUN
fuelectenerg-11176	375	14	-	-	PUNCT
fuelectenerg-11176	375	15	based	base	VERB
fuelectenerg-11176	375	16	transformation	transformation	NOUN
fuelectenerg-11176	375	17	synthesis	synthesis	NOUN
fuelectenerg-11176	375	18	for	for	ADP
fuelectenerg-11176	375	19	3	3	NUM
fuelectenerg-11176	375	20	-	-	PUNCT
fuelectenerg-11176	375	21	valued	value	VERB
fuelectenerg-11176	375	22	reversible	reversible	ADJ
fuelectenerg-11176	375	23	circuits	circuit	NOUN
fuelectenerg-11176	375	24	"	"	PUNCT
fuelectenerg-11176	375	25	in	in	ADP
fuelectenerg-11176	375	26	i.	i.	NOUN
fuelectenerg-11176	375	27	lanese	lanese	PROPN
fuelectenerg-11176	375	28	,	,	PUNCT
fuelectenerg-11176	375	29	and	and	CCONJ
fuelectenerg-11176	375	30	m.	m.	NOUN
fuelectenerg-11176	375	31	rawski	rawski	PROPN
fuelectenerg-11176	375	32	(	(	PUNCT
fuelectenerg-11176	375	33	eds	ed	NOUN
fuelectenerg-11176	375	34	.	.	PUNCT
fuelectenerg-11176	375	35	)	)	PUNCT
fuelectenerg-11176	375	36	,	,	PUNCT
fuelectenerg-11176	375	37	reversible	reversible	ADJ
fuelectenerg-11176	375	38	computation	computation	NOUN
fuelectenerg-11176	375	39	,	,	PUNCT
fuelectenerg-11176	375	40	lncs	lncs	VERB
fuelectenerg-11176	375	41	12227	12227	NUM
fuelectenerg-11176	375	42	,	,	PUNCT
fuelectenerg-11176	375	43	218	218	NUM
fuelectenerg-11176	375	44	-	-	SYM
fuelectenerg-11176	375	45	236	236	NUM
fuelectenerg-11176	375	46	,	,	PUNCT
fuelectenerg-11176	375	47	springer	springer	NOUN
fuelectenerg-11176	375	48	,	,	PUNCT
fuelectenerg-11176	375	49	2020	2020	NUM
fuelectenerg-11176	375	50	.	.	PUNCT
fuelectenerg-11176	376	1	[	[	X
fuelectenerg-11176	376	2	13	13	NUM
fuelectenerg-11176	376	3	]	]	X
fuelectenerg-11176	376	4	c.	c.	PROPN
fuelectenerg-11176	376	5	moraga	moraga	PROPN
fuelectenerg-11176	376	6	,	,	PUNCT
fuelectenerg-11176	376	7	"	"	PUNCT
fuelectenerg-11176	376	8	hybrid	hybrid	ADJ
fuelectenerg-11176	376	9	gf(2)-boolean	gf(2)-boolean	ADJ
fuelectenerg-11176	376	10	expressions	expression	NOUN
fuelectenerg-11176	376	11	for	for	ADP
fuelectenerg-11176	376	12	quantum	quantum	NOUN
fuelectenerg-11176	376	13	computing	computing	NOUN
fuelectenerg-11176	376	14	circuits	circuit	NOUN
fuelectenerg-11176	376	15	"	"	PUNCT
fuelectenerg-11176	376	16	,	,	PUNCT
fuelectenerg-11176	376	17	in	in	ADP
fuelectenerg-11176	376	18	a.	a.	NOUN
fuelectenerg-11176	376	19	de	de	X
fuelectenerg-11176	376	20	vos	vos	PROPN
fuelectenerg-11176	376	21	and	and	CCONJ
fuelectenerg-11176	376	22	r.	r.	NOUN
fuelectenerg-11176	376	23	wille	wille	NOUN
fuelectenerg-11176	376	24	(	(	PUNCT
fuelectenerg-11176	376	25	eds	ed	NOUN
fuelectenerg-11176	376	26	.	.	PUNCT
fuelectenerg-11176	376	27	)	)	PUNCT
fuelectenerg-11176	376	28	,	,	PUNCT
fuelectenerg-11176	376	29	rc	rc	PROPN
fuelectenerg-11176	376	30	2011	2011	NUM
fuelectenerg-11176	376	31	,	,	PUNCT
fuelectenerg-11176	376	32	lncs	lncs	VERB
fuelectenerg-11176	376	33	7165	7165	NUM
fuelectenerg-11176	376	34	,	,	PUNCT
fuelectenerg-11176	376	35	pp	pp	ADV
fuelectenerg-11176	376	36	.	.	PUNCT
fuelectenerg-11176	377	1	54	54	NUM
fuelectenerg-11176	377	2	-	-	SYM
fuelectenerg-11176	377	3	63	63	NUM
fuelectenerg-11176	377	4	,	,	PUNCT
fuelectenerg-11176	377	5	springer	springer	NOUN
fuelectenerg-11176	377	6	,	,	PUNCT
fuelectenerg-11176	377	7	2012	2012	NUM
fuelectenerg-11176	377	8	.	.	PUNCT
fuelectenerg-11176	378	1	[	[	X
fuelectenerg-11176	378	2	14	14	NUM
fuelectenerg-11176	378	3	]	]	X
fuelectenerg-11176	378	4	c.	c.	PROPN
fuelectenerg-11176	378	5	moraga	moraga	PROPN
fuelectenerg-11176	378	6	,	,	PUNCT
fuelectenerg-11176	378	7	"	"	PUNCT
fuelectenerg-11176	378	8	using	use	VERB
fuelectenerg-11176	378	9	negated	negate	VERB
fuelectenerg-11176	378	10	control	control	NOUN
fuelectenerg-11176	378	11	signals	signal	NOUN
fuelectenerg-11176	378	12	in	in	ADP
fuelectenerg-11176	378	13	quantum	quantum	ADJ
fuelectenerg-11176	378	14	computing	computing	NOUN
fuelectenerg-11176	378	15	circuits	circuit	NOUN
fuelectenerg-11176	378	16	"	"	PUNCT
fuelectenerg-11176	378	17	,	,	PUNCT
fuelectenerg-11176	378	18	fu	fu	PROPN
fuelectenerg-11176	378	19	elec	elec	PROPN
fuelectenerg-11176	378	20	.	.	PUNCT
fuelectenerg-11176	379	1	energ	energ	PROPN
fuelectenerg-11176	379	2	.	.	PUNCT
fuelectenerg-11176	380	1	,	,	PUNCT
fuelectenerg-11176	380	2	vol	vol	NOUN
fuelectenerg-11176	380	3	.	.	PROPN
fuelectenerg-11176	381	1	24	24	NUM
fuelectenerg-11176	381	2	,	,	PUNCT
fuelectenerg-11176	381	3	no	no	INTJ
fuelectenerg-11176	381	4	.	.	NOUN
fuelectenerg-11176	381	5	3	3	NUM
fuelectenerg-11176	381	6	,	,	PUNCT
fuelectenerg-11176	381	7	pp	pp	ADJ
fuelectenerg-11176	381	8	.	.	PUNCT
fuelectenerg-11176	382	1	423	423	NUM
fuelectenerg-11176	382	2	-	-	SYM
fuelectenerg-11176	382	3	435	435	NUM
fuelectenerg-11176	382	4	,	,	PUNCT
fuelectenerg-11176	382	5	2011	2011	NUM
fuelectenerg-11176	382	6	.	.	PUNCT
fuelectenerg-11176	383	1	[	[	X
fuelectenerg-11176	383	2	15	15	NUM
fuelectenerg-11176	383	3	]	]	X
fuelectenerg-11176	383	4	c.	c.	PROPN
fuelectenerg-11176	383	5	moraga	moraga	PROPN
fuelectenerg-11176	383	6	,	,	PUNCT
fuelectenerg-11176	383	7	"	"	PUNCT
fuelectenerg-11176	383	8	or	or	CCONJ
fuelectenerg-11176	383	9	-	-	PUNCT
fuelectenerg-11176	383	10	toffoli	toffoli	NOUN
fuelectenerg-11176	383	11	and	and	CCONJ
fuelectenerg-11176	383	12	or	or	CCONJ
fuelectenerg-11176	383	13	-	-	PUNCT
fuelectenerg-11176	383	14	peres	peres	NOUN
fuelectenerg-11176	383	15	reversible	reversible	ADJ
fuelectenerg-11176	383	16	gates	gate	NOUN
fuelectenerg-11176	383	17	"	"	PUNCT
fuelectenerg-11176	383	18	,	,	PUNCT
fuelectenerg-11176	383	19	in	in	ADP
fuelectenerg-11176	383	20	s.	s.	PROPN
fuelectenerg-11176	383	21	yamashita	yamashita	PROPN
fuelectenerg-11176	383	22	and	and	CCONJ
fuelectenerg-11176	383	23	t.	t.	PROPN
fuelectenerg-11176	383	24	yokoyama	yokoyama	PROPN
fuelectenerg-11176	383	25	(	(	PUNCT
fuelectenerg-11176	383	26	eds	ed	NOUN
fuelectenerg-11176	383	27	.	.	PUNCT
fuelectenerg-11176	383	28	)	)	PUNCT
fuelectenerg-11176	383	29	reversible	reversible	ADJ
fuelectenerg-11176	383	30	computation	computation	NOUN
fuelectenerg-11176	383	31	,	,	PUNCT
fuelectenerg-11176	383	32	lncs	lncs	PROPN
fuelectenerg-11176	383	33	12805	12805	NUM
fuelectenerg-11176	383	34	,	,	PUNCT
fuelectenerg-11176	383	35	pp	pp	ADP
fuelectenerg-11176	383	36	.	.	PUNCT
fuelectenerg-11176	383	37	266	266	NUM
fuelectenerg-11176	383	38	-	-	SYM
fuelectenerg-11176	383	39	273	273	NUM
fuelectenerg-11176	383	40	,	,	PUNCT
fuelectenerg-11176	383	41	springer	springer	NOUN
fuelectenerg-11176	383	42	,	,	PUNCT
fuelectenerg-11176	383	43	2021	2021	NUM
fuelectenerg-11176	383	44	.	.	PUNCT
fuelectenerg-11176	384	1	[	[	X
fuelectenerg-11176	384	2	16	16	NUM
fuelectenerg-11176	384	3	]	]	PUNCT
fuelectenerg-11176	384	4	m.	m.	PROPN
fuelectenerg-11176	384	5	nielsen	nielsen	PROPN
fuelectenerg-11176	384	6	and	and	CCONJ
fuelectenerg-11176	384	7	i.	i.	PROPN
fuelectenerg-11176	384	8	chuang	chuang	PROPN
fuelectenerg-11176	384	9	,	,	PUNCT
fuelectenerg-11176	384	10	quantum	quantum	ADJ
fuelectenerg-11176	384	11	computation	computation	NOUN
fuelectenerg-11176	384	12	and	and	CCONJ
fuelectenerg-11176	384	13	quantum	quantum	NOUN
fuelectenerg-11176	384	14	information	information	NOUN
fuelectenerg-11176	384	15	.	.	PUNCT
fuelectenerg-11176	385	1	cambridge	cambridge	PROPN
fuelectenerg-11176	385	2	univ	univ	PROPN
fuelectenerg-11176	385	3	.	.	PUNCT
fuelectenerg-11176	386	1	press	press	PROPN
fuelectenerg-11176	386	2	,	,	PUNCT
fuelectenerg-11176	386	3	uk	uk	PROPN
fuelectenerg-11176	386	4	,	,	PUNCT
fuelectenerg-11176	386	5	2000	2000	NUM
fuelectenerg-11176	386	6	.	.	PUNCT
fuelectenerg-11176	387	1	[	[	X
fuelectenerg-11176	387	2	17	17	NUM
fuelectenerg-11176	387	3	]	]	SYM
fuelectenerg-11176	387	4	ph	ph	PROPN
fuelectenerg-11176	387	5	.	.	PROPN
fuelectenerg-11176	387	6	niemann	niemann	PROPN
fuelectenerg-11176	387	7	,	,	PUNCT
fuelectenerg-11176	387	8	l.	l.	PROPN
fuelectenerg-11176	387	9	müller	müller	PROPN
fuelectenerg-11176	387	10	and	and	CCONJ
fuelectenerg-11176	387	11	r.	r.	PROPN
fuelectenerg-11176	387	12	drechsler	drechsler	PROPN
fuelectenerg-11176	387	13	,	,	PUNCT
fuelectenerg-11176	387	14	"	"	PUNCT
fuelectenerg-11176	387	15	finding	find	VERB
fuelectenerg-11176	387	16	optimal	optimal	ADJ
fuelectenerg-11176	387	17	implementations	implementation	NOUN
fuelectenerg-11176	387	18	of	of	ADP
fuelectenerg-11176	387	19	non	non	ADJ
fuelectenerg-11176	387	20	-	-	ADJ
fuelectenerg-11176	387	21	native	native	ADJ
fuelectenerg-11176	387	22	cnot	cnot	NOUN
fuelectenerg-11176	387	23	gates	gate	NOUN
fuelectenerg-11176	387	24	using	use	VERB
fuelectenerg-11176	387	25	sat	sit	VERB
fuelectenerg-11176	387	26	"	"	PUNCT
fuelectenerg-11176	387	27	,	,	PUNCT
fuelectenerg-11176	387	28	in	in	ADP
fuelectenerg-11176	387	29	s.	s.	PROPN
fuelectenerg-11176	387	30	yamashita	yamashita	PROPN
fuelectenerg-11176	387	31	,	,	PUNCT
fuelectenerg-11176	387	32	t.	t.	PROPN
fuelectenerg-11176	387	33	yokoyama	yokoyama	PROPN
fuelectenerg-11176	387	34	,	,	PUNCT
fuelectenerg-11176	387	35	(	(	PUNCT
fuelectenerg-11176	387	36	eds	ed	NOUN
fuelectenerg-11176	387	37	.	.	PUNCT
fuelectenerg-11176	387	38	)	)	PUNCT
fuelectenerg-11176	387	39	,	,	PUNCT
fuelectenerg-11176	387	40	reversible	reversible	ADJ
fuelectenerg-11176	387	41	computation	computation	NOUN
fuelectenerg-11176	387	42	,	,	PUNCT
fuelectenerg-11176	387	43	lncs	lncs	PROPN
fuelectenerg-11176	387	44	12805	12805	NUM
fuelectenerg-11176	387	45	,	,	PUNCT
fuelectenerg-11176	387	46	pp	pp	ADV
fuelectenerg-11176	387	47	.	.	PUNCT
fuelectenerg-11176	388	1	242	242	NUM
fuelectenerg-11176	388	2	-	-	SYM
fuelectenerg-11176	388	3	255	255	NUM
fuelectenerg-11176	388	4	,	,	PUNCT
fuelectenerg-11176	388	5	springer	springer	NOUN
fuelectenerg-11176	388	6	,	,	PUNCT
fuelectenerg-11176	388	7	2021	2021	NUM
fuelectenerg-11176	388	8	.	.	PUNCT
fuelectenerg-11176	389	1	[	[	X
fuelectenerg-11176	389	2	18	18	NUM
fuelectenerg-11176	389	3	]	]	X
fuelectenerg-11176	389	4	w.	w.	PROPN
fuelectenerg-11176	389	5	pauli	pauli	PROPN
fuelectenerg-11176	389	6	,	,	PUNCT
fuelectenerg-11176	389	7	handbuch	handbuch	PROPN
fuelectenerg-11176	389	8	der	der	PROPN
fuelectenerg-11176	389	9	physik	physik	PROPN
fuelectenerg-11176	389	10	,	,	PUNCT
fuelectenerg-11176	389	11	chapter	chapter	NOUN
fuelectenerg-11176	389	12	24	24	NUM
fuelectenerg-11176	389	13	,	,	PUNCT
fuelectenerg-11176	389	14	springer	springer	NOUN
fuelectenerg-11176	389	15	,	,	PUNCT
fuelectenerg-11176	389	16	berlin	berlin	PROPN
fuelectenerg-11176	389	17	,	,	PUNCT
fuelectenerg-11176	389	18	1933	1933	NUM
fuelectenerg-11176	389	19	.	.	PUNCT
fuelectenerg-11176	390	1	[	[	X
fuelectenerg-11176	390	2	19	19	NUM
fuelectenerg-11176	390	3	]	]	PUNCT
fuelectenerg-11176	390	4	m.	m.	NOUN
fuelectenerg-11176	390	5	rahman	rahman	PROPN
fuelectenerg-11176	390	6	and	and	CCONJ
fuelectenerg-11176	390	7	g.	g.	PROPN
fuelectenerg-11176	390	8	w.	w.	PROPN
fuelectenerg-11176	390	9	dueck	dueck	PROPN
fuelectenerg-11176	390	10	,	,	PUNCT
fuelectenerg-11176	390	11	"	"	PUNCT
fuelectenerg-11176	390	12	an	an	DET
fuelectenerg-11176	390	13	algorithm	algorithm	NOUN
fuelectenerg-11176	390	14	to	to	PART
fuelectenerg-11176	390	15	find	find	VERB
fuelectenerg-11176	390	16	quantum	quantum	ADJ
fuelectenerg-11176	390	17	templates	template	NOUN
fuelectenerg-11176	390	18	"	"	PUNCT
fuelectenerg-11176	390	19	in	in	ADP
fuelectenerg-11176	390	20	proceedings	proceeding	NOUN
fuelectenerg-11176	390	21	of	of	ADP
fuelectenerg-11176	390	22	the	the	DET
fuelectenerg-11176	390	23	ieee	ieee	NOUN
fuelectenerg-11176	390	24	congress	congress	PROPN
fuelectenerg-11176	390	25	on	on	ADP
fuelectenerg-11176	390	26	evolutionary	evolutionary	ADJ
fuelectenerg-11176	390	27	computing	computing	NOUN
fuelectenerg-11176	390	28	,	,	PUNCT
fuelectenerg-11176	390	29	ieee	ieee	NOUN
fuelectenerg-11176	390	30	press	press	NOUN
fuelectenerg-11176	390	31	,	,	PUNCT
fuelectenerg-11176	390	32	2012	2012	NUM
fuelectenerg-11176	390	33	,	,	PUNCT
fuelectenerg-11176	390	34	pp	pp	ADV
fuelectenerg-11176	390	35	.	.	PUNCT
fuelectenerg-11176	390	36	623	623	NUM
fuelectenerg-11176	390	37	-	-	SYM
fuelectenerg-11176	390	38	629	629	NUM
fuelectenerg-11176	390	39	.	.	PUNCT
fuelectenerg-11176	391	1	[	[	X
fuelectenerg-11176	391	2	20	20	NUM
fuelectenerg-11176	391	3	]	]	PUNCT
fuelectenerg-11176	391	4	i.	i.	PROPN
fuelectenerg-11176	391	5	rahul	rahul	PROPN
fuelectenerg-11176	391	6	,	,	PUNCT
fuelectenerg-11176	391	7	b.	b.	PROPN
fuelectenerg-11176	391	8	loff	loff	PROPN
fuelectenerg-11176	391	9	and	and	CCONJ
fuelectenerg-11176	391	10	i.	i.	PROPN
fuelectenerg-11176	391	11	c.	c.	PROPN
fuelectenerg-11176	391	12	oliveira	oliveira	PROPN
fuelectenerg-11176	391	13	,	,	PUNCT
fuelectenerg-11176	391	14	"	"	PUNCT
fuelectenerg-11176	391	15	np	np	INTJ
fuelectenerg-11176	391	16	-	-	PUNCT
fuelectenerg-11176	391	17	hardness	hardness	NOUN
fuelectenerg-11176	391	18	of	of	ADP
fuelectenerg-11176	391	19	circuit	circuit	NOUN
fuelectenerg-11176	391	20	minimization	minimization	NOUN
fuelectenerg-11176	391	21	for	for	ADP
fuelectenerg-11176	391	22	multi	multi	ADJ
fuelectenerg-11176	391	23	-	-	ADJ
fuelectenerg-11176	391	24	output	output	ADJ
fuelectenerg-11176	391	25	functions	function	NOUN
fuelectenerg-11176	391	26	"	"	PUNCT
fuelectenerg-11176	391	27	,	,	PUNCT
fuelectenerg-11176	391	28	in	in	ADP
fuelectenerg-11176	391	29	proceedings	proceeding	NOUN
fuelectenerg-11176	391	30	of	of	ADP
fuelectenerg-11176	391	31	the	the	DET
fuelectenerg-11176	391	32	35th	35th	ADJ
fuelectenerg-11176	391	33	computational	computational	ADJ
fuelectenerg-11176	391	34	complexity	complexity	NOUN
fuelectenerg-11176	391	35	conference	conference	NOUN
fuelectenerg-11176	391	36	(	(	PUNCT
fuelectenerg-11176	391	37	ccc	ccc	PROPN
fuelectenerg-11176	391	38	)	)	PUNCT
fuelectenerg-11176	391	39	,	,	PUNCT
fuelectenerg-11176	391	40	2020	2020	NUM
fuelectenerg-11176	391	41	,	,	PUNCT
fuelectenerg-11176	391	42	pp	pp	ADV
fuelectenerg-11176	391	43	.	.	PUNCT
fuelectenerg-11176	392	1	22:1–22:36	22:1–22:36	X
fuelectenerg-11176	392	2	.	.	PUNCT
fuelectenerg-11176	393	1	[	[	X
fuelectenerg-11176	393	2	21	21	NUM
fuelectenerg-11176	393	3	]	]	X
fuelectenerg-11176	393	4	m.	m.	NOUN
fuelectenerg-11176	393	5	saeedi	saeedi	NOUN
fuelectenerg-11176	393	6	and	and	CCONJ
fuelectenerg-11176	393	7	i.	i.	PROPN
fuelectenerg-11176	393	8	l.	l.	PROPN
fuelectenerg-11176	393	9	markov	markov	PROPN
fuelectenerg-11176	393	10	,	,	PUNCT
fuelectenerg-11176	393	11	"	"	PUNCT
fuelectenerg-11176	393	12	synthesis	synthesis	NOUN
fuelectenerg-11176	393	13	and	and	CCONJ
fuelectenerg-11176	393	14	optimization	optimization	NOUN
fuelectenerg-11176	393	15	of	of	ADP
fuelectenerg-11176	393	16	reversible	reversible	ADJ
fuelectenerg-11176	393	17	circuits	circuit	NOUN
fuelectenerg-11176	393	18	–	–	PUNCT
fuelectenerg-11176	393	19	a	a	DET
fuelectenerg-11176	393	20	survey	survey	NOUN
fuelectenerg-11176	393	21	"	"	PUNCT
fuelectenerg-11176	393	22	,	,	PUNCT
fuelectenerg-11176	393	23	acm	acm	NOUN
fuelectenerg-11176	393	24	comput	comput	NOUN
fuelectenerg-11176	393	25	.	.	PUNCT
fuelectenerg-11176	394	1	surveys	survey	NOUN
fuelectenerg-11176	394	2	,	,	PUNCT
fuelectenerg-11176	394	3	vol	vol	NOUN
fuelectenerg-11176	394	4	.	.	PROPN
fuelectenerg-11176	395	1	45	45	NUM
fuelectenerg-11176	395	2	,	,	PUNCT
fuelectenerg-11176	395	3	no	no	INTJ
fuelectenerg-11176	395	4	.	.	NOUN
fuelectenerg-11176	395	5	2	2	NUM
fuelectenerg-11176	395	6	,	,	PUNCT
fuelectenerg-11176	395	7	pp	pp	ADJ
fuelectenerg-11176	395	8	.	.	PUNCT
fuelectenerg-11176	396	1	1	1	NUM
fuelectenerg-11176	396	2	-	-	SYM
fuelectenerg-11176	396	3	34	34	NUM
fuelectenerg-11176	396	4	,	,	PUNCT
fuelectenerg-11176	396	5	2013	2013	NUM
fuelectenerg-11176	396	6	.	.	PUNCT
fuelectenerg-11176	397	1	[	[	X
fuelectenerg-11176	397	2	22	22	NUM
fuelectenerg-11176	397	3	]	]	PUNCT
fuelectenerg-11176	397	4	z.	z.	PROPN
fuelectenerg-11176	397	5	sasanian	sasanian	PROPN
fuelectenerg-11176	397	6	and	and	CCONJ
fuelectenerg-11176	397	7	d.	d.	PROPN
fuelectenerg-11176	397	8	m.	m.	PROPN
fuelectenerg-11176	397	9	miller	miller	PROPN
fuelectenerg-11176	397	10	,	,	PUNCT
fuelectenerg-11176	397	11	"	"	PUNCT
fuelectenerg-11176	397	12	ncv	ncv	PROPN
fuelectenerg-11176	397	13	realization	realization	NOUN
fuelectenerg-11176	397	14	of	of	ADP
fuelectenerg-11176	397	15	mct	mct	PROPN
fuelectenerg-11176	397	16	gates	gate	NOUN
fuelectenerg-11176	397	17	with	with	ADP
fuelectenerg-11176	397	18	mixed	mixed	ADJ
fuelectenerg-11176	397	19	control	control	NOUN
fuelectenerg-11176	397	20	"	"	PUNCT
fuelectenerg-11176	397	21	,	,	PUNCT
fuelectenerg-11176	397	22	in	in	ADP
fuelectenerg-11176	397	23	proceedings	proceeding	NOUN
fuelectenerg-11176	397	24	of	of	ADP
fuelectenerg-11176	397	25	the	the	DET
fuelectenerg-11176	397	26	ieee	ieee	PROPN
fuelectenerg-11176	397	27	pacific	pacific	PROPN
fuelectenerg-11176	397	28	rim	rim	PROPN
fuelectenerg-11176	397	29	conference	conference	NOUN
fuelectenerg-11176	397	30	on	on	ADP
fuelectenerg-11176	397	31	communications	communication	NOUN
fuelectenerg-11176	397	32	,	,	PUNCT
fuelectenerg-11176	397	33	computers	computer	NOUN
fuelectenerg-11176	397	34	and	and	CCONJ
fuelectenerg-11176	397	35	signal	signal	NOUN
fuelectenerg-11176	397	36	processing	processing	NOUN
fuelectenerg-11176	397	37	(	(	PUNCT
fuelectenerg-11176	397	38	pacrim	pacrim	PROPN
fuelectenerg-11176	397	39	)	)	PUNCT
fuelectenerg-11176	397	40	,	,	PUNCT
fuelectenerg-11176	397	41	2011	2011	NUM
fuelectenerg-11176	397	42	,	,	PUNCT
fuelectenerg-11176	397	43	pp	pp	ADJ
fuelectenerg-11176	397	44	.	.	PUNCT
fuelectenerg-11176	398	1	567	567	NUM
fuelectenerg-11176	398	2	-	-	SYM
fuelectenerg-11176	398	3	571	571	NUM
fuelectenerg-11176	398	4	.	.	PUNCT
fuelectenerg-11176	399	1	[	[	X
fuelectenerg-11176	399	2	23	23	NUM
fuelectenerg-11176	399	3	]	]	PUNCT
fuelectenerg-11176	399	4	m.	m.	NOUN
fuelectenerg-11176	399	5	soeken	soeken	VERB
fuelectenerg-11176	399	6	and	and	CCONJ
fuelectenerg-11176	399	7	m.	m.	PROPN
fuelectenerg-11176	399	8	k.	k.	PROPN
fuelectenerg-11176	399	9	thomsen	thomsen	PROPN
fuelectenerg-11176	399	10	,	,	PUNCT
fuelectenerg-11176	399	11	"	"	PUNCT
fuelectenerg-11176	399	12	white	white	ADJ
fuelectenerg-11176	399	13	dots	dot	NOUN
fuelectenerg-11176	399	14	do	do	AUX
fuelectenerg-11176	399	15	matter	matter	VERB
fuelectenerg-11176	399	16	:	:	PUNCT
fuelectenerg-11176	399	17	rewriting	rewrite	VERB
fuelectenerg-11176	399	18	reversible	reversible	ADJ
fuelectenerg-11176	399	19	logic	logic	NOUN
fuelectenerg-11176	399	20	circuits	circuit	NOUN
fuelectenerg-11176	399	21	"	"	PUNCT
fuelectenerg-11176	399	22	,	,	PUNCT
fuelectenerg-11176	399	23	in	in	ADP
fuelectenerg-11176	399	24	g.	g.	PROPN
fuelectenerg-11176	399	25	w.	w.	PROPN
fuelectenerg-11176	399	26	dueck	dueck	PROPN
fuelectenerg-11176	399	27	and	and	CCONJ
fuelectenerg-11176	399	28	d.	d.	PROPN
fuelectenerg-11176	399	29	m.	m.	PROPN
fuelectenerg-11176	399	30	miller	miller	PROPN
fuelectenerg-11176	399	31	(	(	PUNCT
fuelectenerg-11176	399	32	eds	eds	PROPN
fuelectenerg-11176	399	33	.	.	PUNCT
fuelectenerg-11176	399	34	)	)	PUNCT
fuelectenerg-11176	399	35	,	,	PUNCT
fuelectenerg-11176	399	36	reversible	reversible	ADJ
fuelectenerg-11176	399	37	computation	computation	NOUN
fuelectenerg-11176	399	38	,	,	PUNCT
fuelectenerg-11176	399	39	lncs	lncs	PROPN
fuelectenerg-11176	399	40	7948	7948	NUM
fuelectenerg-11176	399	41	,	,	PUNCT
fuelectenerg-11176	399	42	pp	pp	ADJ
fuelectenerg-11176	399	43	.	.	PUNCT
fuelectenerg-11176	400	1	196	196	NUM
fuelectenerg-11176	400	2	-	-	SYM
fuelectenerg-11176	400	3	208	208	NUM
fuelectenerg-11176	400	4	,	,	PUNCT
fuelectenerg-11176	400	5	springer	springer	NOUN
fuelectenerg-11176	400	6	,	,	PUNCT
fuelectenerg-11176	400	7	2013	2013	NUM
fuelectenerg-11176	400	8	.	.	PUNCT
fuelectenerg-11176	401	1	[	[	X
fuelectenerg-11176	401	2	24	24	NUM
fuelectenerg-11176	401	3	]	]	PUNCT
fuelectenerg-11176	401	4	m.	m.	NOUN
fuelectenerg-11176	401	5	soeken	soeken	VERB
fuelectenerg-11176	401	6	,	,	PUNCT
fuelectenerg-11176	401	7	g.	g.	PROPN
fuelectenerg-11176	401	8	w.	w.	PROPN
fuelectenerg-11176	401	9	dueck	dueck	PROPN
fuelectenerg-11176	401	10	and	and	CCONJ
fuelectenerg-11176	401	11	m.	m.	PROPN
fuelectenerg-11176	401	12	d.	d.	PROPN
fuelectenerg-11176	401	13	miller	miller	PROPN
fuelectenerg-11176	401	14	,	,	PUNCT
fuelectenerg-11176	401	15	"	"	PUNCT
fuelectenerg-11176	401	16	a	a	DET
fuelectenerg-11176	401	17	fast	fast	ADJ
fuelectenerg-11176	401	18	symbolic	symbolic	ADJ
fuelectenerg-11176	401	19	transformation	transformation	NOUN
fuelectenerg-11176	401	20	-	-	PUNCT
fuelectenerg-11176	401	21	based	base	VERB
fuelectenerg-11176	401	22	algorithm	algorithm	NOUN
fuelectenerg-11176	401	23	for	for	ADP
fuelectenerg-11176	401	24	reversible	reversible	ADJ
fuelectenerg-11176	401	25	logic	logic	NOUN
fuelectenerg-11176	401	26	synthesis	synthesis	NOUN
fuelectenerg-11176	401	27	"	"	PUNCT
fuelectenerg-11176	401	28	,	,	PUNCT
fuelectenerg-11176	401	29	in	in	ADP
fuelectenerg-11176	401	30	s.	s.	PROPN
fuelectenerg-11176	401	31	devitt	devitt	PROPN
fuelectenerg-11176	401	32	and	and	CCONJ
fuelectenerg-11176	401	33	i.	i.	PROPN
fuelectenerg-11176	401	34	lanese	lanese	PROPN
fuelectenerg-11176	401	35	i.	i.	PROPN
fuelectenerg-11176	401	36	(	(	PUNCT
fuelectenerg-11176	401	37	eds	eds	PROPN
fuelectenerg-11176	401	38	.	.	PUNCT
fuelectenerg-11176	401	39	)	)	PUNCT
fuelectenerg-11176	401	40	,	,	PUNCT
fuelectenerg-11176	401	41	reversible	reversible	ADJ
fuelectenerg-11176	401	42	computation	computation	NOUN
fuelectenerg-11176	401	43	,	,	PUNCT
fuelectenerg-11176	401	44	lncs	lncs	PROPN
fuelectenerg-11176	401	45	9720	9720	NUM
fuelectenerg-11176	401	46	,	,	PUNCT
fuelectenerg-11176	401	47	pp	pp	ADJ
fuelectenerg-11176	401	48	.	.	PUNCT
fuelectenerg-11176	402	1	307	307	NUM
fuelectenerg-11176	402	2	-	-	SYM
fuelectenerg-11176	402	3	321	321	NUM
fuelectenerg-11176	402	4	,	,	PUNCT
fuelectenerg-11176	402	5	springer	springer	NOUN
fuelectenerg-11176	402	6	,	,	PUNCT
fuelectenerg-11176	402	7	2016	2016	NUM
fuelectenerg-11176	402	8	.	.	PUNCT
fuelectenerg-11176	403	1	[	[	X
fuelectenerg-11176	403	2	25	25	NUM
fuelectenerg-11176	403	3	]	]	X
fuelectenerg-11176	403	4	s.	s.	PROPN
fuelectenerg-11176	403	5	stojković	stojković	PROPN
fuelectenerg-11176	403	6	,	,	PUNCT
fuelectenerg-11176	403	7	m.	m.	NOUN
fuelectenerg-11176	403	8	m.	m.	NOUN
fuelectenerg-11176	403	9	stanković	stanković	PROPN
fuelectenerg-11176	403	10	and	and	CCONJ
fuelectenerg-11176	403	11	c.	c.	PROPN
fuelectenerg-11176	403	12	moraga	moraga	PROPN
fuelectenerg-11176	403	13	,	,	PUNCT
fuelectenerg-11176	403	14	"	"	PUNCT
fuelectenerg-11176	403	15	complexity	complexity	NOUN
fuelectenerg-11176	403	16	reduction	reduction	NOUN
fuelectenerg-11176	403	17	of	of	ADP
fuelectenerg-11176	403	18	toffoli	toffoli	PROPN
fuelectenerg-11176	403	19	networks	network	NOUN
fuelectenerg-11176	403	20	based	base	VERB
fuelectenerg-11176	403	21	on	on	ADP
fuelectenerg-11176	403	22	fdd	fdd	PROPN
fuelectenerg-11176	403	23	"	"	PUNCT
fuelectenerg-11176	403	24	,	,	PUNCT
fuelectenerg-11176	403	25	fu	fu	PROPN
fuelectenerg-11176	403	26	:	:	PUNCT
fuelectenerg-11176	403	27	elec	elec	PROPN
fuelectenerg-11176	403	28	.	.	PUNCT
fuelectenerg-11176	403	29	energ	energ	PROPN
fuelectenerg-11176	403	30	.	.	PUNCT
fuelectenerg-11176	404	1	,	,	PUNCT
fuelectenerg-11176	404	2	vol	vol	NOUN
fuelectenerg-11176	404	3	.	.	PROPN
fuelectenerg-11176	405	1	28	28	NUM
fuelectenerg-11176	405	2	,	,	PUNCT
fuelectenerg-11176	405	3	no	no	INTJ
fuelectenerg-11176	405	4	.	.	NOUN
fuelectenerg-11176	405	5	2	2	NUM
fuelectenerg-11176	405	6	,	,	PUNCT
fuelectenerg-11176	405	7	pp	pp	ADJ
fuelectenerg-11176	405	8	.	.	PUNCT
fuelectenerg-11176	406	1	251	251	NUM
fuelectenerg-11176	406	2	-	-	SYM
fuelectenerg-11176	406	3	262	262	NUM
fuelectenerg-11176	406	4	,	,	PUNCT
fuelectenerg-11176	406	5	2015	2015	NUM
fuelectenerg-11176	406	6	.	.	PUNCT
fuelectenerg-11176	407	1	[	[	X
fuelectenerg-11176	407	2	26	26	NUM
fuelectenerg-11176	407	3	]	]	PUNCT
fuelectenerg-11176	407	4	t.	t.	NOUN
fuelectenerg-11176	407	5	toffoli	toffoli	PROPN
fuelectenerg-11176	407	6	,	,	PUNCT
fuelectenerg-11176	407	7	"	"	PUNCT
fuelectenerg-11176	407	8	reversible	reversible	ADJ
fuelectenerg-11176	407	9	computing	computing	NOUN
fuelectenerg-11176	407	10	"	"	PUNCT
fuelectenerg-11176	407	11	,	,	PUNCT
fuelectenerg-11176	407	12	in	in	ADP
fuelectenerg-11176	407	13	j.	j.	PROPN
fuelectenerg-11176	407	14	w.	w.	PROPN
fuelectenerg-11176	407	15	baker	baker	PROPN
fuelectenerg-11176	407	16	and	and	CCONJ
fuelectenerg-11176	407	17	j.	j.	PROPN
fuelectenerg-11176	407	18	van	van	PROPN
fuelectenerg-11176	407	19	leeuwen	leeuwen	PROPN
fuelectenerg-11176	407	20	(	(	PUNCT
fuelectenerg-11176	407	21	eds	eds	PROPN
fuelectenerg-11176	407	22	.	.	PUNCT
fuelectenerg-11176	407	23	)	)	PUNCT
fuelectenerg-11176	407	24	,	,	PUNCT
fuelectenerg-11176	407	25	alp	alp	PROPN
fuelectenerg-11176	407	26	1980	1980	NUM
fuelectenerg-11176	407	27	,	,	PUNCT
fuelectenerg-11176	407	28	lncs	lncs	VERB
fuelectenerg-11176	407	29	84	84	NUM
fuelectenerg-11176	407	30	,	,	PUNCT
fuelectenerg-11176	407	31	pp	pp	ADJ
fuelectenerg-11176	407	32	.	.	PUNCT
fuelectenerg-11176	408	1	632644	632644	NUM
fuelectenerg-11176	408	2	,	,	PUNCT
fuelectenerg-11176	408	3	springer	springer	NOUN
fuelectenerg-11176	408	4	,	,	PUNCT
fuelectenerg-11176	408	5	1980	1980	NUM
fuelectenerg-11176	408	6	.	.	PUNCT
fuelectenerg-11176	409	1	[	[	X
fuelectenerg-11176	409	2	27	27	NUM
fuelectenerg-11176	409	3	]	]	X
fuelectenerg-11176	409	4	r.	r.	NOUN
fuelectenerg-11176	409	5	wille	wille	PROPN
fuelectenerg-11176	409	6	,	,	PUNCT
fuelectenerg-11176	409	7	m.	m.	NOUN
fuelectenerg-11176	409	8	saeedi	saeedi	NOUN
fuelectenerg-11176	409	9	and	and	CCONJ
fuelectenerg-11176	409	10	r.	r.	PROPN
fuelectenerg-11176	409	11	drechsler	drechsler	NOUN
fuelectenerg-11176	409	12	,	,	PUNCT
fuelectenerg-11176	409	13	"	"	PUNCT
fuelectenerg-11176	409	14	synthesis	synthesis	NOUN
fuelectenerg-11176	409	15	of	of	ADP
fuelectenerg-11176	409	16	reversible	reversible	ADJ
fuelectenerg-11176	409	17	functions	function	NOUN
fuelectenerg-11176	409	18	beyond	beyond	ADP
fuelectenerg-11176	409	19	gate	gate	NOUN
fuelectenerg-11176	409	20	count	count	NOUN
fuelectenerg-11176	409	21	and	and	CCONJ
fuelectenerg-11176	409	22	quantum	quantum	NOUN
fuelectenerg-11176	409	23	cost	cost	NOUN
fuelectenerg-11176	409	24	"	"	PUNCT
fuelectenerg-11176	409	25	,	,	PUNCT
fuelectenerg-11176	409	26	2010	2010	NUM
fuelectenerg-11176	409	27	,	,	PUNCT
fuelectenerg-11176	409	28	pp	pp	ADJ
fuelectenerg-11176	409	29	.	.	PUNCT
fuelectenerg-11176	410	1	1	1	NUM
fuelectenerg-11176	410	2	-	-	SYM
fuelectenerg-11176	410	3	7	7	NUM
fuelectenerg-11176	410	4	.	.	PUNCT
fuelectenerg-11176	411	1	[	[	X
fuelectenerg-11176	411	2	28	28	NUM
fuelectenerg-11176	411	3	]	]	X
fuelectenerg-11176	411	4	a.	a.	NOUN
fuelectenerg-11176	411	5	zulehner	zulehner	NOUN
fuelectenerg-11176	411	6	and	and	CCONJ
fuelectenerg-11176	411	7	r.	r.	NOUN
fuelectenerg-11176	411	8	wille	wille	NOUN
fuelectenerg-11176	411	9	,	,	PUNCT
fuelectenerg-11176	411	10	"	"	PUNCT
fuelectenerg-11176	411	11	simulation	simulation	NOUN
fuelectenerg-11176	411	12	and	and	CCONJ
fuelectenerg-11176	411	13	design	design	NOUN
fuelectenerg-11176	411	14	of	of	ADP
fuelectenerg-11176	411	15	quantum	quantum	ADJ
fuelectenerg-11176	411	16	circuits	circuit	NOUN
fuelectenerg-11176	411	17	"	"	PUNCT
fuelectenerg-11176	411	18	,	,	PUNCT
fuelectenerg-11176	411	19	in	in	ADP
fuelectenerg-11176	411	20	i.	i.	PROPN
fuelectenerg-11176	411	21	ulidowski	ulidowski	PROPN
fuelectenerg-11176	411	22	,	,	PUNCT
fuelectenerg-11176	411	23	i.	i.	NOUN
fuelectenerg-11176	411	24	lanese	lanese	PROPN
fuelectenerg-11176	411	25	,	,	PUNCT
fuelectenerg-11176	411	26	u.	u.	PROPN
fuelectenerg-11176	411	27	p.	p.	PROPN
fuelectenerg-11176	411	28	schulz	schulz	PROPN
fuelectenerg-11176	411	29	and	and	CCONJ
fuelectenerg-11176	411	30	c.	c.	PROPN
fuelectenerg-11176	411	31	ferreira	ferreira	PROPN
fuelectenerg-11176	411	32	,	,	PUNCT
fuelectenerg-11176	411	33	(	(	PUNCT
fuelectenerg-11176	411	34	eds	ed	NOUN
fuelectenerg-11176	411	35	.	.	PUNCT
fuelectenerg-11176	411	36	)	)	PUNCT
fuelectenerg-11176	411	37	,	,	PUNCT
fuelectenerg-11176	411	38	reversible	reversible	ADJ
fuelectenerg-11176	411	39	computation	computation	NOUN
fuelectenerg-11176	411	40	:	:	PUNCT
fuelectenerg-11176	411	41	extending	extend	VERB
fuelectenerg-11176	411	42	horizons	horizon	NOUN
fuelectenerg-11176	411	43	of	of	ADP
fuelectenerg-11176	411	44	computing	computing	NOUN
fuelectenerg-11176	411	45	,	,	PUNCT
fuelectenerg-11176	411	46	lncs	lncs	PROPN
fuelectenerg-11176	411	47	12070	12070	NUM
fuelectenerg-11176	411	48	,	,	PUNCT
fuelectenerg-11176	411	49	pp	pp	ADV
fuelectenerg-11176	411	50	.	.	PUNCT
fuelectenerg-11176	412	1	60	60	NUM
fuelectenerg-11176	412	2	-	-	SYM
fuelectenerg-11176	412	3	82	82	NUM
fuelectenerg-11176	412	4	,	,	PUNCT
fuelectenerg-11176	412	5	springer	springer	NOUN
fuelectenerg-11176	412	6	open	open	NOUN
fuelectenerg-11176	412	7	,	,	PUNCT
fuelectenerg-11176	412	8	2020	2020	NUM
fuelectenerg-11176	412	9	.	.	PUNCT