id	sid	tid	token	lemma	pos
ejpam-6344	1	1	european	european	PROPN
ejpam-6344	1	2	journal	journal	PROPN
ejpam-6344	1	3	of	of	ADP
ejpam-6344	1	4	pure	pure	ADJ
ejpam-6344	1	5	and	and	CCONJ
ejpam-6344	1	6	applied	applied	ADJ
ejpam-6344	1	7	mathematics	mathematic	NOUN
ejpam-6344	1	8	2025	2025	NUM
ejpam-6344	1	9	,	,	PUNCT
ejpam-6344	1	10	vol	vol	NOUN
ejpam-6344	1	11	.	.	PROPN
ejpam-6344	1	12	18	18	NUM
ejpam-6344	1	13	,	,	PUNCT
ejpam-6344	1	14	issue	issue	NOUN
ejpam-6344	1	15	3	3	NUM
ejpam-6344	1	16	,	,	PUNCT
ejpam-6344	1	17	article	article	NOUN
ejpam-6344	1	18	number	number	NOUN
ejpam-6344	1	19	6344	6344	NUM
ejpam-6344	1	20	issn	issn	PROPN
ejpam-6344	1	21	1307	1307	NUM
ejpam-6344	1	22	-	-	SYM
ejpam-6344	1	23	5543	5543	NUM
ejpam-6344	1	24	–	–	PUNCT
ejpam-6344	1	25	ejpam.com	ejpam.com	X
ejpam-6344	1	26	published	publish	VERB
ejpam-6344	1	27	by	by	ADP
ejpam-6344	1	28	new	new	PROPN
ejpam-6344	1	29	york	york	PROPN
ejpam-6344	1	30	business	business	PROPN
ejpam-6344	1	31	global	global	ADJ
ejpam-6344	1	32	generalized	generalize	VERB
ejpam-6344	1	33	swap	swap	NOUN
ejpam-6344	1	34	and	and	CCONJ
ejpam-6344	1	35	iswap	iswap	NOUN
ejpam-6344	1	36	and	and	CCONJ
ejpam-6344	1	37	solutions	solution	NOUN
ejpam-6344	1	38	to	to	ADP
ejpam-6344	1	39	the	the	DET
ejpam-6344	1	40	yang	yang	PROPN
ejpam-6344	1	41	–	–	PUNCT
ejpam-6344	1	42	baxter	baxter	PROPN
ejpam-6344	1	43	equation	equation	NOUN
ejpam-6344	1	44	in	in	ADP
ejpam-6344	1	45	all	all	DET
ejpam-6344	1	46	dimensions	dimension	NOUN
ejpam-6344	1	47	arash	arash	PROPN
ejpam-6344	1	48	pourkia	pourkia	PROPN
ejpam-6344	1	49	college	college	PROPN
ejpam-6344	1	50	of	of	ADP
ejpam-6344	1	51	engineering	engineering	NOUN
ejpam-6344	1	52	and	and	CCONJ
ejpam-6344	1	53	technology	technology	NOUN
ejpam-6344	1	54	,	,	PUNCT
ejpam-6344	1	55	american	american	PROPN
ejpam-6344	1	56	university	university	PROPN
ejpam-6344	1	57	of	of	ADP
ejpam-6344	1	58	the	the	DET
ejpam-6344	1	59	middle	middle	PROPN
ejpam-6344	1	60	east	east	PROPN
ejpam-6344	1	61	,	,	PUNCT
ejpam-6344	1	62	kuwait	kuwait	PROPN
ejpam-6344	1	63	abstract	abstract	NOUN
ejpam-6344	1	64	.	.	PUNCT
ejpam-6344	2	1	we	we	PRON
ejpam-6344	2	2	introduce	introduce	VERB
ejpam-6344	2	3	an	an	DET
ejpam-6344	2	4	infinite	infinite	ADJ
ejpam-6344	2	5	family	family	NOUN
ejpam-6344	2	6	of	of	ADP
ejpam-6344	2	7	universal	universal	ADJ
ejpam-6344	2	8	quantum	quantum	ADJ
ejpam-6344	2	9	logic	logic	NOUN
ejpam-6344	2	10	gates	gate	NOUN
ejpam-6344	2	11	that	that	PRON
ejpam-6344	2	12	includes	include	VERB
ejpam-6344	2	13	not	not	PART
ejpam-6344	2	14	only	only	ADV
ejpam-6344	2	15	higher	higher	ADV
ejpam-6344	2	16	-	-	PUNCT
ejpam-6344	2	17	dimensional	dimensional	ADJ
ejpam-6344	2	18	versions	version	NOUN
ejpam-6344	2	19	of	of	ADP
ejpam-6344	2	20	the	the	DET
ejpam-6344	2	21	usual	usual	ADJ
ejpam-6344	2	22	swap	swap	NOUN
ejpam-6344	2	23	and	and	CCONJ
ejpam-6344	2	24	iswap	iswap	NOUN
ejpam-6344	2	25	gates	gate	NOUN
ejpam-6344	2	26	,	,	PUNCT
ejpam-6344	2	27	but	but	CCONJ
ejpam-6344	2	28	also	also	ADV
ejpam-6344	2	29	their	their	PRON
ejpam-6344	2	30	previously	previously	ADV
ejpam-6344	2	31	known	know	VERB
ejpam-6344	2	32	extensions	extension	NOUN
ejpam-6344	2	33	.	.	PUNCT
ejpam-6344	3	1	this	this	DET
ejpam-6344	3	2	family	family	NOUN
ejpam-6344	3	3	consists	consist	VERB
ejpam-6344	3	4	of	of	ADP
ejpam-6344	3	5	permutation	permutation	NOUN
ejpam-6344	3	6	-	-	PUNCT
ejpam-6344	3	7	like	like	ADJ
ejpam-6344	3	8	matrices	matrix	NOUN
ejpam-6344	3	9	with	with	ADP
ejpam-6344	3	10	nonzero	nonzero	ADJ
ejpam-6344	3	11	entries	entry	NOUN
ejpam-6344	3	12	of	of	ADP
ejpam-6344	3	13	the	the	DET
ejpam-6344	3	14	form	form	NOUN
ejpam-6344	3	15	eiαi	eiαi	NOUN
ejpam-6344	3	16	,	,	PUNCT
ejpam-6344	3	17	where	where	SCONJ
ejpam-6344	3	18	the	the	DET
ejpam-6344	3	19	αi	αi	NOUN
ejpam-6344	3	20	are	be	AUX
ejpam-6344	3	21	arbitrary	arbitrary	ADJ
ejpam-6344	3	22	real	real	ADJ
ejpam-6344	3	23	numbers	number	NOUN
ejpam-6344	3	24	.	.	PUNCT
ejpam-6344	4	1	moreover	moreover	ADV
ejpam-6344	4	2	,	,	PUNCT
ejpam-6344	4	3	we	we	PRON
ejpam-6344	4	4	show	show	VERB
ejpam-6344	4	5	that	that	SCONJ
ejpam-6344	4	6	these	these	DET
ejpam-6344	4	7	gates	gate	NOUN
ejpam-6344	4	8	,	,	PUNCT
ejpam-6344	4	9	which	which	PRON
ejpam-6344	4	10	we	we	PRON
ejpam-6344	4	11	refer	refer	VERB
ejpam-6344	4	12	to	to	ADP
ejpam-6344	4	13	as	as	ADP
ejpam-6344	4	14	αswap	αswap	NOUN
ejpam-6344	4	15	,	,	PUNCT
ejpam-6344	4	16	provide	provide	VERB
ejpam-6344	4	17	unitary	unitary	ADJ
ejpam-6344	4	18	solutions	solution	NOUN
ejpam-6344	4	19	to	to	ADP
ejpam-6344	4	20	the	the	DET
ejpam-6344	4	21	constant	constant	ADJ
ejpam-6344	4	22	yang	yang	PROPN
ejpam-6344	4	23	–	–	PUNCT
ejpam-6344	4	24	baxter	baxter	PROPN
ejpam-6344	4	25	equation	equation	NOUN
ejpam-6344	4	26	in	in	ADP
ejpam-6344	4	27	all	all	DET
ejpam-6344	4	28	dimensions	dimension	NOUN
ejpam-6344	4	29	.	.	PUNCT
ejpam-6344	5	1	2020	2020	NUM
ejpam-6344	5	2	mathematics	mathematic	NOUN
ejpam-6344	5	3	subject	subject	NOUN
ejpam-6344	5	4	classifications	classification	NOUN
ejpam-6344	5	5	:	:	PUNCT
ejpam-6344	5	6	81p68	81p68	NUM
ejpam-6344	5	7	,	,	PUNCT
ejpam-6344	5	8	81r50	81r50	NUM
ejpam-6344	5	9	,	,	PUNCT
ejpam-6344	5	10	15a30	15a30	NUM
ejpam-6344	5	11	,	,	PUNCT
ejpam-6344	5	12	81p45	81p45	NUM
ejpam-6344	5	13	key	key	ADJ
ejpam-6344	5	14	words	word	NOUN
ejpam-6344	5	15	and	and	CCONJ
ejpam-6344	5	16	phrases	phrase	NOUN
ejpam-6344	5	17	:	:	PUNCT
ejpam-6344	5	18	qudits	qudit	NOUN
ejpam-6344	5	19	,	,	PUNCT
ejpam-6344	5	20	universal	universal	ADJ
ejpam-6344	5	21	quantum	quantum	ADJ
ejpam-6344	5	22	logic	logic	NOUN
ejpam-6344	5	23	gates	gate	NOUN
ejpam-6344	5	24	,	,	PUNCT
ejpam-6344	5	25	entangling	entangle	VERB
ejpam-6344	5	26	gates	gate	NOUN
ejpam-6344	5	27	,	,	PUNCT
ejpam-6344	5	28	yang	yang	PROPN
ejpam-6344	5	29	—	—	PUNCT
ejpam-6344	5	30	baxter	baxter	PROPN
ejpam-6344	5	31	equation	equation	NOUN
ejpam-6344	5	32	1	1	NUM
ejpam-6344	5	33	.	.	PUNCT
ejpam-6344	6	1	introduction	introduction	NOUN
ejpam-6344	6	2	the	the	DET
ejpam-6344	6	3	d	d	ADJ
ejpam-6344	6	4	-	-	PUNCT
ejpam-6344	6	5	level	level	NOUN
ejpam-6344	6	6	qudit	qudit	NOUN
ejpam-6344	6	7	-	-	PUNCT
ejpam-6344	6	8	based	base	VERB
ejpam-6344	6	9	computing	computing	NOUN
ejpam-6344	6	10	,	,	PUNCT
ejpam-6344	6	11	where	where	SCONJ
ejpam-6344	6	12	d	d	PROPN
ejpam-6344	6	13	≥	≥	NUM
ejpam-6344	6	14	3	3	NUM
ejpam-6344	6	15	,	,	PUNCT
ejpam-6344	6	16	has	have	AUX
ejpam-6344	6	17	been	be	AUX
ejpam-6344	6	18	at	at	ADP
ejpam-6344	6	19	the	the	DET
ejpam-6344	6	20	center	center	NOUN
ejpam-6344	6	21	of	of	ADP
ejpam-6344	6	22	attention	attention	NOUN
ejpam-6344	6	23	in	in	ADP
ejpam-6344	6	24	recent	recent	ADJ
ejpam-6344	6	25	research	research	NOUN
ejpam-6344	6	26	.	.	PUNCT
ejpam-6344	7	1	this	this	PRON
ejpam-6344	7	2	is	be	AUX
ejpam-6344	7	3	partly	partly	ADV
ejpam-6344	7	4	due	due	ADJ
ejpam-6344	7	5	to	to	ADP
ejpam-6344	7	6	the	the	DET
ejpam-6344	7	7	advantages	advantage	NOUN
ejpam-6344	7	8	of	of	ADP
ejpam-6344	7	9	d	d	NOUN
ejpam-6344	7	10	-	-	PUNCT
ejpam-6344	7	11	level	level	NOUN
ejpam-6344	7	12	qudits	qudit	NOUN
ejpam-6344	7	13	(	(	PUNCT
ejpam-6344	7	14	d	d	X
ejpam-6344	7	15	>	>	X
ejpam-6344	7	16	2	2	NUM
ejpam-6344	7	17	)	)	PUNCT
ejpam-6344	7	18	over	over	ADP
ejpam-6344	7	19	conventional	conventional	ADJ
ejpam-6344	7	20	qubits	qubit	NOUN
ejpam-6344	7	21	(	(	PUNCT
ejpam-6344	7	22	d	d	NOUN
ejpam-6344	7	23	=	=	SYM
ejpam-6344	7	24	2	2	NUM
ejpam-6344	7	25	)	)	PUNCT
ejpam-6344	7	26	in	in	ADP
ejpam-6344	7	27	quantum	quantum	NOUN
ejpam-6344	7	28	computing	computing	NOUN
ejpam-6344	7	29	and	and	CCONJ
ejpam-6344	7	30	quantum	quantum	NOUN
ejpam-6344	7	31	information	information	NOUN
ejpam-6344	7	32	.	.	PUNCT
ejpam-6344	8	1	in	in	ADP
ejpam-6344	8	2	parallel	parallel	NOUN
ejpam-6344	8	3	,	,	PUNCT
ejpam-6344	8	4	there	there	PRON
ejpam-6344	8	5	have	have	AUX
ejpam-6344	8	6	been	be	AUX
ejpam-6344	8	7	developments	development	NOUN
ejpam-6344	8	8	in	in	ADP
ejpam-6344	8	9	higher	high	ADJ
ejpam-6344	8	10	-	-	PUNCT
ejpam-6344	8	11	dimensional	dimensional	ADJ
ejpam-6344	8	12	quantum	quantum	ADJ
ejpam-6344	8	13	logic	logic	NOUN
ejpam-6344	8	14	gates	gate	NOUN
ejpam-6344	8	15	,	,	PUNCT
ejpam-6344	8	16	both	both	PRON
ejpam-6344	8	17	theoretically	theoretically	ADV
ejpam-6344	8	18	and	and	CCONJ
ejpam-6344	8	19	in	in	ADP
ejpam-6344	8	20	terms	term	NOUN
ejpam-6344	8	21	of	of	ADP
ejpam-6344	8	22	implementation	implementation	NOUN
ejpam-6344	9	1	[	[	X
ejpam-6344	9	2	1–12	1–12	NOUN
ejpam-6344	9	3	]	]	PUNCT
ejpam-6344	9	4	.	.	PUNCT
ejpam-6344	10	1	in	in	ADP
ejpam-6344	10	2	dimension	dimension	NOUN
ejpam-6344	10	3	two	two	NUM
ejpam-6344	10	4	,	,	PUNCT
ejpam-6344	10	5	the	the	DET
ejpam-6344	10	6	familiar	familiar	ADJ
ejpam-6344	10	7	swap	swap	NOUN
ejpam-6344	10	8	gate	gate	NOUN
ejpam-6344	10	9	(	(	PUNCT
ejpam-6344	10	10	swap	swap	NOUN
ejpam-6344	10	11	)	)	PUNCT
ejpam-6344	10	12	and	and	CCONJ
ejpam-6344	10	13	iswap	iswap	PROPN
ejpam-6344	10	14	gate	gate	PROPN
ejpam-6344	10	15	(	(	PUNCT
ejpam-6344	10	16	iswap	iswap	PROPN
ejpam-6344	10	17	)	)	PUNCT
ejpam-6344	10	18	are	be	AUX
ejpam-6344	10	19	among	among	ADP
ejpam-6344	10	20	the	the	DET
ejpam-6344	10	21	most	most	ADV
ejpam-6344	10	22	important	important	ADJ
ejpam-6344	10	23	quantum	quantum	ADJ
ejpam-6344	10	24	gates	gate	NOUN
ejpam-6344	10	25	in	in	ADP
ejpam-6344	10	26	quantum	quantum	NOUN
ejpam-6344	10	27	computing	computing	NOUN
ejpam-6344	11	1	[	[	X
ejpam-6344	11	2	9–11	9–11	NOUN
ejpam-6344	11	3	,	,	PUNCT
ejpam-6344	11	4	13	13	NUM
ejpam-6344	11	5	,	,	PUNCT
ejpam-6344	11	6	14	14	NUM
ejpam-6344	11	7	]	]	PUNCT
ejpam-6344	11	8	.	.	PUNCT
ejpam-6344	12	1	the	the	DET
ejpam-6344	12	2	use	use	NOUN
ejpam-6344	12	3	of	of	ADP
ejpam-6344	12	4	swap	swap	NOUN
ejpam-6344	12	5	and	and	CCONJ
ejpam-6344	12	6	iswap	iswap	NOUN
ejpam-6344	12	7	gates	gate	NOUN
ejpam-6344	12	8	is	be	AUX
ejpam-6344	12	9	crucial	crucial	ADJ
ejpam-6344	12	10	in	in	ADP
ejpam-6344	12	11	implementing	implement	VERB
ejpam-6344	12	12	quantum	quantum	ADJ
ejpam-6344	12	13	algorithms	algorithm	NOUN
ejpam-6344	12	14	,	,	PUNCT
ejpam-6344	12	15	particularly	particularly	ADV
ejpam-6344	12	16	for	for	ADP
ejpam-6344	12	17	moving	move	VERB
ejpam-6344	12	18	information	information	NOUN
ejpam-6344	12	19	to	to	PART
ejpam-6344	12	20	resolve	resolve	VERB
ejpam-6344	12	21	the	the	DET
ejpam-6344	12	22	neighborhood	neighborhood	NOUN
ejpam-6344	12	23	constraints	constraint	NOUN
ejpam-6344	12	24	of	of	ADP
ejpam-6344	12	25	qubit	qubit	NOUN
ejpam-6344	12	26	topology	topology	NOUN
ejpam-6344	12	27	.	.	PUNCT
ejpam-6344	13	1	the	the	DET
ejpam-6344	13	2	iswap	iswap	PROPN
ejpam-6344	13	3	gate	gate	PROPN
ejpam-6344	13	4	is	be	AUX
ejpam-6344	13	5	also	also	ADV
ejpam-6344	13	6	entangling	entangle	VERB
ejpam-6344	13	7	and	and	CCONJ
ejpam-6344	13	8	hence	hence	ADV
ejpam-6344	13	9	a	a	DET
ejpam-6344	13	10	universal	universal	ADJ
ejpam-6344	13	11	gate	gate	NOUN
ejpam-6344	13	12	.	.	PUNCT
ejpam-6344	14	1	the	the	DET
ejpam-6344	14	2	study	study	NOUN
ejpam-6344	14	3	of	of	ADP
ejpam-6344	14	4	these	these	DET
ejpam-6344	14	5	gates	gate	NOUN
ejpam-6344	14	6	and	and	CCONJ
ejpam-6344	14	7	their	their	PRON
ejpam-6344	14	8	generalizations	generalization	NOUN
ejpam-6344	14	9	,	,	PUNCT
ejpam-6344	14	10	from	from	ADP
ejpam-6344	14	11	various	various	ADJ
ejpam-6344	14	12	perspectives	perspective	NOUN
ejpam-6344	14	13	and	and	CCONJ
ejpam-6344	14	14	their	their	PRON
ejpam-6344	14	15	physical	physical	ADJ
ejpam-6344	14	16	implementations	implementation	NOUN
ejpam-6344	14	17	,	,	PUNCT
ejpam-6344	14	18	remains	remain	VERB
ejpam-6344	14	19	an	an	DET
ejpam-6344	14	20	active	active	ADJ
ejpam-6344	14	21	area	area	NOUN
ejpam-6344	14	22	of	of	ADP
ejpam-6344	14	23	research	research	NOUN
ejpam-6344	14	24	[	[	X
ejpam-6344	14	25	6	6	NUM
ejpam-6344	14	26	,	,	PUNCT
ejpam-6344	14	27	8–11	8–11	NOUN
ejpam-6344	14	28	,	,	PUNCT
ejpam-6344	14	29	15–17	15–17	NUM
ejpam-6344	14	30	]	]	PUNCT
ejpam-6344	14	31	.	.	PUNCT
ejpam-6344	15	1	on	on	ADP
ejpam-6344	15	2	a	a	DET
ejpam-6344	15	3	related	relate	VERB
ejpam-6344	15	4	topic	topic	NOUN
ejpam-6344	15	5	,	,	PUNCT
ejpam-6344	15	6	the	the	DET
ejpam-6344	15	7	yang	yang	PROPN
ejpam-6344	15	8	–	–	PUNCT
ejpam-6344	15	9	baxter	baxter	NOUN
ejpam-6344	15	10	equation	equation	NOUN
ejpam-6344	15	11	and	and	CCONJ
ejpam-6344	15	12	its	its	PRON
ejpam-6344	15	13	solutions	solution	NOUN
ejpam-6344	15	14	have	have	AUX
ejpam-6344	15	15	played	play	VERB
ejpam-6344	15	16	a	a	DET
ejpam-6344	15	17	fundamental	fundamental	ADJ
ejpam-6344	15	18	role	role	NOUN
ejpam-6344	15	19	in	in	ADP
ejpam-6344	15	20	several	several	ADJ
ejpam-6344	15	21	areas	area	NOUN
ejpam-6344	15	22	of	of	ADP
ejpam-6344	15	23	physics	physics	NOUN
ejpam-6344	15	24	and	and	CCONJ
ejpam-6344	15	25	mathematics	mathematic	NOUN
ejpam-6344	15	26	[	[	X
ejpam-6344	15	27	18–22	18–22	NUM
ejpam-6344	15	28	]	]	PUNCT
ejpam-6344	15	29	.	.	PUNCT
ejpam-6344	16	1	unitary	unitary	ADJ
ejpam-6344	16	2	solutions	solution	NOUN
ejpam-6344	16	3	to	to	ADP
ejpam-6344	16	4	the	the	DET
ejpam-6344	16	5	constant	constant	ADJ
ejpam-6344	16	6	yang	yang	PROPN
ejpam-6344	16	7	–	–	PUNCT
ejpam-6344	16	8	baxter	baxter	NOUN
ejpam-6344	16	9	equation	equation	NOUN
ejpam-6344	16	10	for	for	ADP
ejpam-6344	16	11	d	d	PROPN
ejpam-6344	16	12	=	=	SYM
ejpam-6344	16	13	2	2	NUM
ejpam-6344	16	14	are	be	AUX
ejpam-6344	16	15	well	well	ADV
ejpam-6344	16	16	-	-	PUNCT
ejpam-6344	16	17	known	know	VERB
ejpam-6344	16	18	sources	source	NOUN
ejpam-6344	16	19	of	of	ADP
ejpam-6344	16	20	quantum	quantum	ADJ
ejpam-6344	16	21	logic	logic	NOUN
ejpam-6344	16	22	gates	gate	NOUN
ejpam-6344	16	23	[	[	X
ejpam-6344	16	24	23–25	23–25	NUM
ejpam-6344	16	25	]	]	PUNCT
ejpam-6344	16	26	,	,	PUNCT
ejpam-6344	16	27	and	and	CCONJ
ejpam-6344	16	28	are	be	AUX
ejpam-6344	16	29	therefore	therefore	ADV
ejpam-6344	16	30	important	important	ADJ
ejpam-6344	16	31	tools	tool	NOUN
ejpam-6344	16	32	in	in	ADP
ejpam-6344	16	33	quantum	quantum	ADJ
ejpam-6344	16	34	information	information	NOUN
ejpam-6344	16	35	theory	theory	NOUN
ejpam-6344	16	36	.	.	PUNCT
ejpam-6344	17	1	they	they	PRON
ejpam-6344	17	2	also	also	ADV
ejpam-6344	17	3	play	play	VERB
ejpam-6344	17	4	a	a	DET
ejpam-6344	17	5	crucial	crucial	ADJ
ejpam-6344	17	6	role	role	NOUN
ejpam-6344	17	7	in	in	ADP
ejpam-6344	17	8	exploring	explore	VERB
ejpam-6344	17	9	the	the	DET
ejpam-6344	17	10	relationship	relationship	NOUN
ejpam-6344	17	11	between	between	ADP
ejpam-6344	17	12	quantum	quantum	ADJ
ejpam-6344	17	13	entanglement	entanglement	NOUN
ejpam-6344	17	14	and	and	CCONJ
ejpam-6344	17	15	topological	topological	ADJ
ejpam-6344	17	16	doi	doi	NOUN
ejpam-6344	17	17	:	:	PUNCT
ejpam-6344	17	18	https://doi.org/10.29020/nybg.ejpam.v18i3.6344	https://doi.org/10.29020/nybg.ejpam.v18i3.6344	PROPN
ejpam-6344	17	19	email	email	NOUN
ejpam-6344	17	20	address	address	NOUN
ejpam-6344	17	21	:	:	PUNCT
ejpam-6344	17	22	arash.pourkia@aum.edu.kw	arash.pourkia@aum.edu.kw	PROPN
ejpam-6344	17	23	(	(	PUNCT
ejpam-6344	17	24	a.	a.	NOUN
ejpam-6344	17	25	pourkia	pourkia	NOUN
ejpam-6344	17	26	)	)	PUNCT
ejpam-6344	17	27	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6344	18	1	1	1	NUM
ejpam-6344	18	2	copyright	copyright	NOUN
ejpam-6344	18	3	:	:	PUNCT
ejpam-6344	18	4	©	©	PROPN
ejpam-6344	18	5	2025	2025	NUM
ejpam-6344	18	6	the	the	DET
ejpam-6344	18	7	author(s	author(s	NOUN
ejpam-6344	18	8	)	)	PUNCT
ejpam-6344	18	9	.	.	PUNCT
ejpam-6344	19	1	(	(	PUNCT
ejpam-6344	19	2	cc	cc	NOUN
ejpam-6344	19	3	by	by	ADP
ejpam-6344	19	4	-	-	PUNCT
ejpam-6344	19	5	nc	nc	PROPN
ejpam-6344	19	6	4.0	4.0	NUM
ejpam-6344	19	7	)	)	PUNCT
ejpam-6344	19	8	a.	a.	NOUN
ejpam-6344	19	9	pourkia	pourkia	NOUN
ejpam-6344	19	10	/	/	SYM
ejpam-6344	19	11	eur	eur	PROPN
ejpam-6344	19	12	.	.	PUNCT
ejpam-6344	20	1	j.	j.	PROPN
ejpam-6344	20	2	pure	pure	PROPN
ejpam-6344	20	3	appl	appl	PROPN
ejpam-6344	20	4	.	.	PROPN
ejpam-6344	20	5	math	math	PROPN
ejpam-6344	20	6	,	,	PUNCT
ejpam-6344	20	7	18	18	NUM
ejpam-6344	20	8	(	(	PUNCT
ejpam-6344	20	9	3	3	NUM
ejpam-6344	20	10	)	)	PUNCT
ejpam-6344	20	11	(	(	PUNCT
ejpam-6344	20	12	2025	2025	NUM
ejpam-6344	20	13	)	)	PUNCT
ejpam-6344	20	14	,	,	PUNCT
ejpam-6344	20	15	6344	6344	NUM
ejpam-6344	20	16	2	2	NUM
ejpam-6344	20	17	of	of	ADP
ejpam-6344	20	18	14	14	NUM
ejpam-6344	20	19	entanglement	entanglement	NOUN
ejpam-6344	20	20	[	[	X
ejpam-6344	20	21	26–30	26–30	NUM
ejpam-6344	20	22	]	]	PUNCT
ejpam-6344	20	23	.	.	PUNCT
ejpam-6344	21	1	the	the	DET
ejpam-6344	21	2	search	search	NOUN
ejpam-6344	21	3	for	for	ADP
ejpam-6344	21	4	new	new	ADJ
ejpam-6344	21	5	solutions	solution	NOUN
ejpam-6344	21	6	to	to	ADP
ejpam-6344	21	7	the	the	DET
ejpam-6344	21	8	yang	yang	PROPN
ejpam-6344	21	9	–	–	PUNCT
ejpam-6344	21	10	baxter	baxter	NOUN
ejpam-6344	21	11	equation	equation	NOUN
ejpam-6344	21	12	and	and	CCONJ
ejpam-6344	21	13	their	their	PRON
ejpam-6344	21	14	applications	application	NOUN
ejpam-6344	21	15	is	be	AUX
ejpam-6344	21	16	a	a	DET
ejpam-6344	21	17	common	common	ADJ
ejpam-6344	21	18	endeavor	endeavor	NOUN
ejpam-6344	21	19	in	in	ADP
ejpam-6344	21	20	both	both	DET
ejpam-6344	21	21	mathematics	mathematic	NOUN
ejpam-6344	21	22	and	and	CCONJ
ejpam-6344	21	23	physics	physics	NOUN
ejpam-6344	22	1	[	[	X
ejpam-6344	22	2	6	6	NUM
ejpam-6344	22	3	,	,	PUNCT
ejpam-6344	22	4	21	21	NUM
ejpam-6344	22	5	,	,	PUNCT
ejpam-6344	22	6	22	22	NUM
ejpam-6344	22	7	,	,	PUNCT
ejpam-6344	22	8	26	26	NUM
ejpam-6344	22	9	,	,	PUNCT
ejpam-6344	22	10	31–35	31–35	NUM
ejpam-6344	22	11	]	]	PUNCT
ejpam-6344	22	12	.	.	PUNCT
ejpam-6344	23	1	the	the	DET
ejpam-6344	23	2	goal	goal	NOUN
ejpam-6344	23	3	of	of	ADP
ejpam-6344	23	4	this	this	DET
ejpam-6344	23	5	paper	paper	NOUN
ejpam-6344	23	6	is	be	AUX
ejpam-6344	23	7	to	to	PART
ejpam-6344	23	8	introduce	introduce	VERB
ejpam-6344	23	9	an	an	DET
ejpam-6344	23	10	infinite	infinite	ADJ
ejpam-6344	23	11	family	family	NOUN
ejpam-6344	23	12	of	of	ADP
ejpam-6344	23	13	universal	universal	ADJ
ejpam-6344	23	14	quantum	quantum	ADJ
ejpam-6344	23	15	logic	logic	NOUN
ejpam-6344	23	16	gates	gate	VERB
ejpam-6344	23	17	that	that	PRON
ejpam-6344	23	18	not	not	PART
ejpam-6344	23	19	only	only	ADV
ejpam-6344	23	20	extends	extend	VERB
ejpam-6344	23	21	the	the	DET
ejpam-6344	23	22	usual	usual	ADJ
ejpam-6344	23	23	swap	swap	NOUN
ejpam-6344	23	24	and	and	CCONJ
ejpam-6344	23	25	iswap	iswap	NOUN
ejpam-6344	23	26	gates	gate	NOUN
ejpam-6344	23	27	to	to	ADP
ejpam-6344	23	28	all	all	DET
ejpam-6344	23	29	dimensions	dimension	NOUN
ejpam-6344	23	30	d	d	X
ejpam-6344	23	31	≥	≥	PROPN
ejpam-6344	23	32	2	2	NUM
ejpam-6344	23	33	,	,	PUNCT
ejpam-6344	23	34	beyond	beyond	ADP
ejpam-6344	23	35	their	their	PRON
ejpam-6344	23	36	previously	previously	ADV
ejpam-6344	23	37	known	know	VERB
ejpam-6344	23	38	extensions	extension	NOUN
ejpam-6344	23	39	[	[	X
ejpam-6344	23	40	15	15	NUM
ejpam-6344	23	41	]	]	PUNCT
ejpam-6344	23	42	,	,	PUNCT
ejpam-6344	23	43	but	but	CCONJ
ejpam-6344	23	44	also	also	ADV
ejpam-6344	23	45	provides	provide	VERB
ejpam-6344	23	46	an	an	DET
ejpam-6344	23	47	infinite	infinite	ADJ
ejpam-6344	23	48	family	family	NOUN
ejpam-6344	23	49	of	of	ADP
ejpam-6344	23	50	unitary	unitary	ADJ
ejpam-6344	23	51	solutions	solution	NOUN
ejpam-6344	23	52	to	to	ADP
ejpam-6344	23	53	the	the	DET
ejpam-6344	23	54	constant	constant	ADJ
ejpam-6344	23	55	yang	yang	PROPN
ejpam-6344	23	56	–	–	PUNCT
ejpam-6344	23	57	baxter	baxter	PROPN
ejpam-6344	23	58	equation	equation	NOUN
ejpam-6344	23	59	.	.	PUNCT
ejpam-6344	24	1	the	the	DET
ejpam-6344	24	2	organization	organization	NOUN
ejpam-6344	24	3	of	of	ADP
ejpam-6344	24	4	the	the	DET
ejpam-6344	24	5	paper	paper	NOUN
ejpam-6344	24	6	is	be	AUX
ejpam-6344	24	7	as	as	SCONJ
ejpam-6344	24	8	follows	follow	VERB
ejpam-6344	24	9	.	.	PUNCT
ejpam-6344	25	1	in	in	ADP
ejpam-6344	25	2	section	section	NOUN
ejpam-6344	25	3	2	2	NUM
ejpam-6344	25	4	,	,	PUNCT
ejpam-6344	25	5	we	we	PRON
ejpam-6344	25	6	recall	recall	VERB
ejpam-6344	25	7	some	some	DET
ejpam-6344	25	8	preliminary	preliminary	ADJ
ejpam-6344	25	9	notions	notion	NOUN
ejpam-6344	25	10	and	and	CCONJ
ejpam-6344	25	11	notations	notation	NOUN
ejpam-6344	25	12	.	.	PUNCT
ejpam-6344	26	1	in	in	ADP
ejpam-6344	26	2	section	section	NOUN
ejpam-6344	26	3	3	3	NUM
ejpam-6344	26	4	,	,	PUNCT
ejpam-6344	26	5	specifically	specifically	ADV
ejpam-6344	26	6	in	in	ADP
ejpam-6344	26	7	definition	definition	NOUN
ejpam-6344	26	8	1	1	NUM
ejpam-6344	26	9	,	,	PUNCT
ejpam-6344	26	10	we	we	PRON
ejpam-6344	26	11	give	give	VERB
ejpam-6344	26	12	an	an	DET
ejpam-6344	26	13	explicit	explicit	ADJ
ejpam-6344	26	14	description	description	NOUN
ejpam-6344	26	15	of	of	ADP
ejpam-6344	26	16	the	the	DET
ejpam-6344	26	17	quantum	quantum	PROPN
ejpam-6344	26	18	gate	gate	NOUN
ejpam-6344	26	19	named	name	VERB
ejpam-6344	26	20	αswap	αswap	NOUN
ejpam-6344	26	21	and	and	CCONJ
ejpam-6344	26	22	present	present	ADJ
ejpam-6344	26	23	concrete	concrete	ADJ
ejpam-6344	26	24	examples	example	NOUN
ejpam-6344	26	25	.	.	PUNCT
ejpam-6344	27	1	in	in	ADP
ejpam-6344	27	2	subsection	subsection	NOUN
ejpam-6344	27	3	3.1	3.1	NUM
ejpam-6344	27	4	,	,	PUNCT
ejpam-6344	27	5	we	we	PRON
ejpam-6344	27	6	prove	prove	VERB
ejpam-6344	27	7	that	that	SCONJ
ejpam-6344	27	8	αswap	αswap	NOUN
ejpam-6344	27	9	is	be	AUX
ejpam-6344	27	10	a	a	DET
ejpam-6344	27	11	universal	universal	ADJ
ejpam-6344	27	12	gate	gate	NOUN
ejpam-6344	27	13	for	for	ADP
ejpam-6344	27	14	quantum	quantum	NOUN
ejpam-6344	27	15	computing	computing	NOUN
ejpam-6344	27	16	.	.	PUNCT
ejpam-6344	28	1	in	in	ADP
ejpam-6344	28	2	subsection	subsection	NOUN
ejpam-6344	28	3	3.2	3.2	NUM
ejpam-6344	28	4	,	,	PUNCT
ejpam-6344	28	5	we	we	PRON
ejpam-6344	28	6	prove	prove	VERB
ejpam-6344	28	7	that	that	SCONJ
ejpam-6344	28	8	αswap	αswap	NOUN
ejpam-6344	28	9	is	be	AUX
ejpam-6344	28	10	a	a	DET
ejpam-6344	28	11	unitary	unitary	ADJ
ejpam-6344	28	12	solution	solution	NOUN
ejpam-6344	28	13	to	to	ADP
ejpam-6344	28	14	the	the	DET
ejpam-6344	28	15	yang	yang	PROPN
ejpam-6344	28	16	–	–	PUNCT
ejpam-6344	28	17	baxter	baxter	PROPN
ejpam-6344	28	18	equation	equation	NOUN
ejpam-6344	28	19	.	.	PUNCT
ejpam-6344	29	1	we	we	PRON
ejpam-6344	29	2	conclude	conclude	VERB
ejpam-6344	29	3	with	with	ADP
ejpam-6344	29	4	final	final	ADJ
ejpam-6344	29	5	remarks	remark	NOUN
ejpam-6344	29	6	in	in	ADP
ejpam-6344	29	7	section	section	NOUN
ejpam-6344	29	8	4	4	NUM
ejpam-6344	29	9	.	.	NOUN
ejpam-6344	29	10	2	2	NUM
ejpam-6344	29	11	.	.	NOUN
ejpam-6344	29	12	preliminaries	preliminary	NOUN
ejpam-6344	29	13	and	and	CCONJ
ejpam-6344	29	14	notations	notation	NOUN
ejpam-6344	29	15	in	in	ADP
ejpam-6344	29	16	what	what	PRON
ejpam-6344	29	17	follows	follow	VERB
ejpam-6344	29	18	,	,	PUNCT
ejpam-6344	29	19	to	to	PART
ejpam-6344	29	20	avoid	avoid	VERB
ejpam-6344	29	21	confusion	confusion	NOUN
ejpam-6344	29	22	,	,	PUNCT
ejpam-6344	29	23	we	we	PRON
ejpam-6344	29	24	use	use	VERB
ejpam-6344	29	25	i	i	PRON
ejpam-6344	29	26	to	to	PART
ejpam-6344	29	27	denote	denote	VERB
ejpam-6344	29	28	subscripts	subscript	NOUN
ejpam-6344	29	29	,	,	PUNCT
ejpam-6344	29	30	as	as	ADP
ejpam-6344	29	31	in	in	ADP
ejpam-6344	29	32	αi	αi	NOUN
ejpam-6344	29	33	,	,	PUNCT
ejpam-6344	29	34	and	and	CCONJ
ejpam-6344	29	35	we	we	PRON
ejpam-6344	29	36	use	use	VERB
ejpam-6344	29	37	i	i	PRON
ejpam-6344	29	38	to	to	PART
ejpam-6344	29	39	denote	denote	VERB
ejpam-6344	29	40	the	the	DET
ejpam-6344	29	41	imaginary	imaginary	ADJ
ejpam-6344	29	42	unit	unit	NOUN
ejpam-6344	29	43	√	√	PROPN
ejpam-6344	29	44	−1	−1	NOUN
ejpam-6344	29	45	.	.	PUNCT
ejpam-6344	30	1	recall	recall	VERB
ejpam-6344	30	2	that	that	SCONJ
ejpam-6344	30	3	in	in	ADP
ejpam-6344	30	4	quantum	quantum	NOUN
ejpam-6344	30	5	computing	computing	NOUN
ejpam-6344	30	6	,	,	PUNCT
ejpam-6344	30	7	quantum	quantum	ADJ
ejpam-6344	30	8	logic	logic	NOUN
ejpam-6344	30	9	gates	gate	NOUN
ejpam-6344	30	10	are	be	AUX
ejpam-6344	30	11	represented	represent	VERB
ejpam-6344	30	12	by	by	ADP
ejpam-6344	30	13	unitary	unitary	ADJ
ejpam-6344	30	14	matrices	matrix	NOUN
ejpam-6344	30	15	acting	act	VERB
ejpam-6344	30	16	on	on	ADP
ejpam-6344	30	17	a	a	DET
ejpam-6344	30	18	hilbert	hilbert	NOUN
ejpam-6344	30	19	space	space	NOUN
ejpam-6344	30	20	h	h	NOUN
ejpam-6344	30	21	of	of	ADP
ejpam-6344	30	22	dimension	dimension	NOUN
ejpam-6344	30	23	d	d	NOUN
ejpam-6344	30	24	,	,	PUNCT
ejpam-6344	30	25	i.e.	i.e.	X
ejpam-6344	31	1	,	,	PUNCT
ejpam-6344	31	2	h	h	NOUN
ejpam-6344	31	3	=	=	SYM
ejpam-6344	31	4	cd	cd	PROPN
ejpam-6344	31	5	.	.	PUNCT
ejpam-6344	32	1	a	a	DET
ejpam-6344	32	2	qubit	qubit	NOUN
ejpam-6344	32	3	is	be	AUX
ejpam-6344	32	4	the	the	DET
ejpam-6344	32	5	fundamental	fundamental	ADJ
ejpam-6344	32	6	unit	unit	NOUN
ejpam-6344	32	7	of	of	ADP
ejpam-6344	32	8	quantum	quantum	ADJ
ejpam-6344	32	9	information	information	NOUN
ejpam-6344	32	10	in	in	ADP
ejpam-6344	32	11	dimension	dimension	NOUN
ejpam-6344	32	12	d	d	PROPN
ejpam-6344	32	13	=	=	SYM
ejpam-6344	32	14	2	2	NUM
ejpam-6344	32	15	,	,	PUNCT
ejpam-6344	32	16	while	while	SCONJ
ejpam-6344	32	17	a	a	DET
ejpam-6344	32	18	qudit	qudit	NOUN
ejpam-6344	32	19	generalizes	generalize	VERB
ejpam-6344	32	20	this	this	DET
ejpam-6344	32	21	concept	concept	NOUN
ejpam-6344	32	22	to	to	ADP
ejpam-6344	32	23	a	a	DET
ejpam-6344	32	24	higher	higher	ADV
ejpam-6344	32	25	-	-	PUNCT
ejpam-6344	32	26	dimensional	dimensional	ADJ
ejpam-6344	32	27	hilbert	hilbert	NOUN
ejpam-6344	32	28	space	space	NOUN
ejpam-6344	32	29	with	with	ADP
ejpam-6344	32	30	d	d	PROPN
ejpam-6344	32	31	≥	≥	NUM
ejpam-6344	32	32	2	2	NUM
ejpam-6344	32	33	.	.	PUNCT
ejpam-6344	33	1	throughout	throughout	ADP
ejpam-6344	33	2	this	this	DET
ejpam-6344	33	3	paper	paper	NOUN
ejpam-6344	33	4	we	we	PRON
ejpam-6344	33	5	use	use	VERB
ejpam-6344	33	6	the	the	DET
ejpam-6344	33	7	standard	standard	ADJ
ejpam-6344	33	8	basis	basis	NOUN
ejpam-6344	33	9	{	{	PUNCT
ejpam-6344	33	10	|0⟩	|0⟩	NOUN
ejpam-6344	33	11	,	,	PUNCT
ejpam-6344	33	12	|1⟩	|1⟩	PROPN
ejpam-6344	33	13	,	,	PUNCT
ejpam-6344	33	14	|2⟩	|2⟩	NOUN
ejpam-6344	33	15	,	,	PUNCT
ejpam-6344	33	16	·	·	PUNCT
ejpam-6344	33	17	·	·	PUNCT
ejpam-6344	33	18	·	·	PUNCT
ejpam-6344	33	19	,	,	PUNCT
ejpam-6344	33	20	|d−	|d−	PROPN
ejpam-6344	33	21	1⟩	1⟩	NUM
ejpam-6344	33	22	}	}	PUNCT
ejpam-6344	33	23	for	for	ADP
ejpam-6344	33	24	cd	cd	PROPN
ejpam-6344	33	25	.	.	PUNCT
ejpam-6344	34	1	we	we	PRON
ejpam-6344	34	2	also	also	ADV
ejpam-6344	34	3	use	use	VERB
ejpam-6344	34	4	the	the	DET
ejpam-6344	34	5	computational	computational	ADJ
ejpam-6344	34	6	basis	basis	NOUN
ejpam-6344	34	7	for	for	ADP
ejpam-6344	34	8	2	2	NUM
ejpam-6344	34	9	-	-	PUNCT
ejpam-6344	34	10	qudit	qudit	NOUN
ejpam-6344	34	11	states	state	NOUN
ejpam-6344	34	12	.	.	PUNCT
ejpam-6344	35	1	for	for	ADP
ejpam-6344	35	2	instance	instance	NOUN
ejpam-6344	35	3	,	,	PUNCT
ejpam-6344	35	4	in	in	ADP
ejpam-6344	35	5	dimension	dimension	NOUN
ejpam-6344	35	6	d	d	NOUN
ejpam-6344	35	7	=	=	SYM
ejpam-6344	35	8	2	2	NUM
ejpam-6344	35	9	,	,	PUNCT
ejpam-6344	35	10	the	the	DET
ejpam-6344	35	11	computational	computational	ADJ
ejpam-6344	35	12	basis	basis	NOUN
ejpam-6344	35	13	for	for	ADP
ejpam-6344	35	14	2	2	NUM
ejpam-6344	35	15	-	-	PUNCT
ejpam-6344	35	16	qubit	qubit	NOUN
ejpam-6344	35	17	states	state	NOUN
ejpam-6344	35	18	is	be	AUX
ejpam-6344	35	19	{	{	PUNCT
ejpam-6344	35	20	|00⟩	|00⟩	NOUN
ejpam-6344	35	21	,	,	PUNCT
ejpam-6344	35	22	|01⟩	|01⟩	ADJ
ejpam-6344	35	23	,	,	PUNCT
ejpam-6344	35	24	|10⟩	|10⟩	ADJ
ejpam-6344	35	25	,	,	PUNCT
ejpam-6344	35	26	|11⟩	|11⟩	NOUN
ejpam-6344	35	27	}	}	PUNCT
ejpam-6344	35	28	.	.	PUNCT
ejpam-6344	36	1	in	in	ADP
ejpam-6344	36	2	dimension	dimension	NOUN
ejpam-6344	36	3	d	d	X
ejpam-6344	36	4	=	=	SYM
ejpam-6344	36	5	3	3	NUM
ejpam-6344	36	6	,	,	PUNCT
ejpam-6344	36	7	the	the	DET
ejpam-6344	36	8	computational	computational	ADJ
ejpam-6344	36	9	basis	basis	NOUN
ejpam-6344	36	10	for	for	ADP
ejpam-6344	36	11	2	2	NUM
ejpam-6344	36	12	-	-	PUNCT
ejpam-6344	36	13	qutrit	qutrit	NOUN
ejpam-6344	36	14	states	state	NOUN
ejpam-6344	36	15	is	be	AUX
ejpam-6344	36	16	{	{	PUNCT
ejpam-6344	36	17	|00⟩	|00⟩	NOUN
ejpam-6344	36	18	,	,	PUNCT
ejpam-6344	36	19	|01⟩	|01⟩	ADJ
ejpam-6344	36	20	,	,	PUNCT
ejpam-6344	36	21	|02⟩	|02⟩	NOUN
ejpam-6344	36	22	,	,	PUNCT
ejpam-6344	36	23	|10⟩	|10⟩	ADJ
ejpam-6344	36	24	,	,	PUNCT
ejpam-6344	36	25	|11⟩	|11⟩	NOUN
ejpam-6344	36	26	,	,	PUNCT
ejpam-6344	36	27	|12⟩	|12⟩	ADJ
ejpam-6344	36	28	,	,	PUNCT
ejpam-6344	36	29	|20⟩	|20⟩	X
ejpam-6344	36	30	,	,	PUNCT
ejpam-6344	36	31	|21⟩	|21⟩	VERB
ejpam-6344	36	32	,	,	PUNCT
ejpam-6344	36	33	|22⟩	|22⟩	X
ejpam-6344	36	34	}	}	PUNCT
ejpam-6344	36	35	.	.	PUNCT
ejpam-6344	37	1	in	in	ADP
ejpam-6344	37	2	dimension	dimension	NOUN
ejpam-6344	37	3	d	d	X
ejpam-6344	37	4	=	=	SYM
ejpam-6344	37	5	2	2	NUM
ejpam-6344	37	6	,	,	PUNCT
ejpam-6344	37	7	i.e.	i.e.	X
ejpam-6344	37	8	,	,	PUNCT
ejpam-6344	37	9	for	for	ADP
ejpam-6344	37	10	qubit	qubit	NOUN
ejpam-6344	37	11	systems	system	NOUN
ejpam-6344	37	12	,	,	PUNCT
ejpam-6344	37	13	two	two	NUM
ejpam-6344	37	14	very	very	ADV
ejpam-6344	37	15	important	important	ADJ
ejpam-6344	37	16	examples	example	NOUN
ejpam-6344	37	17	of	of	ADP
ejpam-6344	37	18	quantum	quantum	ADJ
ejpam-6344	37	19	logic	logic	NOUN
ejpam-6344	37	20	gates	gate	NOUN
ejpam-6344	37	21	are	be	AUX
ejpam-6344	37	22	the	the	DET
ejpam-6344	37	23	swap	swap	NOUN
ejpam-6344	37	24	gate	gate	NOUN
ejpam-6344	37	25	(	(	PUNCT
ejpam-6344	37	26	swap	swap	NOUN
ejpam-6344	37	27	)	)	PUNCT
ejpam-6344	37	28	,	,	PUNCT
ejpam-6344	37	29	denoted	denote	VERB
ejpam-6344	37	30	here	here	ADV
ejpam-6344	37	31	by	by	ADP
ejpam-6344	37	32	s	s	PROPN
ejpam-6344	37	33	,	,	PUNCT
ejpam-6344	37	34	and	and	CCONJ
ejpam-6344	37	35	the	the	DET
ejpam-6344	37	36	iswap	iswap	PROPN
ejpam-6344	37	37	gate	gate	NOUN
ejpam-6344	37	38	(	(	PUNCT
ejpam-6344	37	39	iswap	iswap	PROPN
ejpam-6344	37	40	)	)	PUNCT
ejpam-6344	37	41	,	,	PUNCT
ejpam-6344	37	42	denoted	denote	VERB
ejpam-6344	37	43	here	here	ADV
ejpam-6344	37	44	by	by	ADP
ejpam-6344	37	45	is	be	AUX
ejpam-6344	37	46	.	.	PUNCT
ejpam-6344	38	1	they	they	PRON
ejpam-6344	38	2	are	be	AUX
ejpam-6344	38	3	defined	define	VERB
ejpam-6344	38	4	as	as	ADP
ejpam-6344	38	5	follows	follow	VERB
ejpam-6344	38	6	,	,	PUNCT
ejpam-6344	38	7	for	for	ADP
ejpam-6344	38	8	all	all	DET
ejpam-6344	38	9	u	u	NOUN
ejpam-6344	38	10	,	,	PUNCT
ejpam-6344	38	11	v	v	NOUN
ejpam-6344	38	12	∈	∈	PROPN
ejpam-6344	38	13	h	h	NOUN
ejpam-6344	38	14	:	:	PUNCT
ejpam-6344	38	15	swap	swap	NOUN
ejpam-6344	38	16	:	:	PUNCT
ejpam-6344	38	17	h	h	PROPN
ejpam-6344	38	18	⊗	⊗	PROPN
ejpam-6344	38	19	h	h	PROPN
ejpam-6344	38	20	→	→	SYM
ejpam-6344	38	21	h	h	NOUN
ejpam-6344	38	22	⊗	⊗	PROPN
ejpam-6344	38	23	h	h	PROPN
ejpam-6344	38	24	(	(	PUNCT
ejpam-6344	38	25	1	1	NUM
ejpam-6344	38	26	)	)	PUNCT
ejpam-6344	38	27	s(u⊗	s(u⊗	NOUN
ejpam-6344	38	28	v	v	NOUN
ejpam-6344	38	29	)	)	PUNCT
ejpam-6344	38	30	=	=	SYM
ejpam-6344	39	1	v	v	ADP
ejpam-6344	39	2	⊗	⊗	PROPN
ejpam-6344	39	3	u	u	NOUN
ejpam-6344	39	4	a.	a.	NOUN
ejpam-6344	39	5	pourkia	pourkia	NOUN
ejpam-6344	39	6	/	/	SYM
ejpam-6344	39	7	eur	eur	PROPN
ejpam-6344	39	8	.	.	PUNCT
ejpam-6344	40	1	j.	j.	PROPN
ejpam-6344	40	2	pure	pure	PROPN
ejpam-6344	40	3	appl	appl	PROPN
ejpam-6344	40	4	.	.	PROPN
ejpam-6344	40	5	math	math	PROPN
ejpam-6344	40	6	,	,	PUNCT
ejpam-6344	40	7	18	18	NUM
ejpam-6344	40	8	(	(	PUNCT
ejpam-6344	40	9	3	3	NUM
ejpam-6344	40	10	)	)	PUNCT
ejpam-6344	40	11	(	(	PUNCT
ejpam-6344	40	12	2025	2025	NUM
ejpam-6344	40	13	)	)	PUNCT
ejpam-6344	40	14	,	,	PUNCT
ejpam-6344	40	15	6344	6344	NUM
ejpam-6344	40	16	3	3	NUM
ejpam-6344	40	17	of	of	ADP
ejpam-6344	40	18	14	14	NUM
ejpam-6344	40	19	swap	swap	NOUN
ejpam-6344	40	20	=	=	SYM
ejpam-6344	40	21			ADJ
ejpam-6344	40	22	1	1	NUM
ejpam-6344	40	23	0	0	NUM
ejpam-6344	40	24	0	0	NUM
ejpam-6344	40	25	0	0	NUM
ejpam-6344	40	26	0	0	NUM
ejpam-6344	40	27	0	0	NUM
ejpam-6344	40	28	1	1	NUM
ejpam-6344	40	29	0	0	NUM
ejpam-6344	40	30	0	0	NUM
ejpam-6344	40	31	1	1	NUM
ejpam-6344	40	32	0	0	NUM
ejpam-6344	40	33	0	0	NUM
ejpam-6344	40	34	0	0	NUM
ejpam-6344	40	35	0	0	NUM
ejpam-6344	40	36	0	0	NUM
ejpam-6344	40	37	1	1	NUM
ejpam-6344	40	38			NOUN
ejpam-6344	40	39	(	(	PUNCT
ejpam-6344	40	40	2	2	NUM
ejpam-6344	40	41	)	)	PUNCT
ejpam-6344	40	42	iswap	iswap	NOUN
ejpam-6344	40	43	:	:	PUNCT
ejpam-6344	40	44	h	h	PROPN
ejpam-6344	41	1	⊗	⊗	PROPN
ejpam-6344	41	2	h	h	PROPN
ejpam-6344	41	3	→	→	SYM
ejpam-6344	41	4	h	h	NOUN
ejpam-6344	41	5	⊗	⊗	PROPN
ejpam-6344	41	6	h	h	PROPN
ejpam-6344	41	7	(	(	PUNCT
ejpam-6344	41	8	3	3	NUM
ejpam-6344	41	9	)	)	PUNCT
ejpam-6344	41	10	is(u⊗	is(u⊗	ADJ
ejpam-6344	41	11	v	v	NOUN
ejpam-6344	41	12	)	)	PUNCT
ejpam-6344	41	13	=	=	SYM
ejpam-6344	41	14	i(v	i(v	X
ejpam-6344	41	15	⊗	⊗	PROPN
ejpam-6344	41	16	u	u	NOUN
ejpam-6344	41	17	)	)	PUNCT
ejpam-6344	41	18	,	,	PUNCT
ejpam-6344	41	19	when	when	SCONJ
ejpam-6344	41	20	v	v	ADP
ejpam-6344	41	21	̸=	̸=	PROPN
ejpam-6344	41	22	u	u	NOUN
ejpam-6344	41	23	,	,	PUNCT
ejpam-6344	41	24	is(u⊗	is(u⊗	ADJ
ejpam-6344	41	25	u	u	NOUN
ejpam-6344	41	26	)	)	PUNCT
ejpam-6344	41	27	=	=	PUNCT
ejpam-6344	41	28	u⊗	u⊗	NOUN
ejpam-6344	41	29	u	u	NOUN
ejpam-6344	41	30	iswap	iswap	NOUN
ejpam-6344	41	31	=	=	PUNCT
ejpam-6344	41	32			ADJ
ejpam-6344	41	33	1	1	NUM
ejpam-6344	41	34	0	0	NUM
ejpam-6344	41	35	0	0	NUM
ejpam-6344	41	36	0	0	NUM
ejpam-6344	41	37	0	0	NUM
ejpam-6344	41	38	0	0	NUM
ejpam-6344	42	1	i	i	NOUN
ejpam-6344	42	2	0	0	NUM
ejpam-6344	42	3	0	0	PUNCT
ejpam-6344	43	1	i	i	NOUN
ejpam-6344	43	2	0	0	NUM
ejpam-6344	43	3	0	0	NUM
ejpam-6344	43	4	0	0	NUM
ejpam-6344	43	5	0	0	NUM
ejpam-6344	43	6	0	0	NUM
ejpam-6344	43	7	1	1	NUM
ejpam-6344	43	8			NOUN
ejpam-6344	43	9	(	(	PUNCT
ejpam-6344	43	10	4	4	NUM
ejpam-6344	43	11	)	)	PUNCT
ejpam-6344	43	12	an	an	DET
ejpam-6344	43	13	n	n	CCONJ
ejpam-6344	43	14	-	-	PUNCT
ejpam-6344	43	15	qudit	qudit	NOUN
ejpam-6344	43	16	quantum	quantum	ADJ
ejpam-6344	43	17	logic	logic	NOUN
ejpam-6344	43	18	gate	gate	NOUN
ejpam-6344	43	19	is	be	AUX
ejpam-6344	43	20	a	a	DET
ejpam-6344	43	21	unitary	unitary	ADJ
ejpam-6344	43	22	operator	operator	NOUN
ejpam-6344	43	23	on	on	ADP
ejpam-6344	43	24	(	(	PUNCT
ejpam-6344	43	25	cd)⊗n	cd)⊗n	X
ejpam-6344	43	26	.	.	PUNCT
ejpam-6344	44	1	a	a	DET
ejpam-6344	44	2	quantum	quantum	ADJ
ejpam-6344	44	3	logic	logic	NOUN
ejpam-6344	44	4	gate	gate	NOUN
ejpam-6344	44	5	is	be	AUX
ejpam-6344	44	6	said	say	VERB
ejpam-6344	44	7	to	to	PART
ejpam-6344	44	8	be	be	AUX
ejpam-6344	44	9	entangling	entangle	VERB
ejpam-6344	44	10	if	if	SCONJ
ejpam-6344	44	11	it	it	PRON
ejpam-6344	44	12	can	can	AUX
ejpam-6344	44	13	produce	produce	VERB
ejpam-6344	44	14	entangled	entangle	VERB
ejpam-6344	44	15	states	state	NOUN
ejpam-6344	44	16	from	from	ADP
ejpam-6344	44	17	unentangled	unentangled	ADJ
ejpam-6344	44	18	ones	one	NOUN
ejpam-6344	44	19	.	.	PUNCT
ejpam-6344	45	1	a	a	DET
ejpam-6344	45	2	2	2	NUM
ejpam-6344	45	3	-	-	PUNCT
ejpam-6344	45	4	qudit	qudit	NOUN
ejpam-6344	45	5	gate	gate	NOUN
ejpam-6344	45	6	g	g	PROPN
ejpam-6344	45	7	(	(	PUNCT
ejpam-6344	45	8	i.e.	i.e.	X
ejpam-6344	45	9	,	,	PUNCT
ejpam-6344	45	10	a	a	DET
ejpam-6344	45	11	gate	gate	NOUN
ejpam-6344	45	12	acting	act	VERB
ejpam-6344	45	13	on	on	ADP
ejpam-6344	45	14	two	two	NUM
ejpam-6344	45	15	d	d	ADJ
ejpam-6344	45	16	-	-	PUNCT
ejpam-6344	45	17	level	level	NOUN
ejpam-6344	45	18	qudits	qudit	NOUN
ejpam-6344	45	19	)	)	PUNCT
ejpam-6344	45	20	is	be	AUX
ejpam-6344	45	21	universal	universal	ADJ
ejpam-6344	45	22	if	if	SCONJ
ejpam-6344	45	23	the	the	DET
ejpam-6344	45	24	set	set	NOUN
ejpam-6344	45	25	consisting	consist	VERB
ejpam-6344	45	26	of	of	ADP
ejpam-6344	45	27	g	g	PROPN
ejpam-6344	45	28	together	together	ADV
ejpam-6344	45	29	with	with	ADP
ejpam-6344	45	30	all	all	DET
ejpam-6344	45	31	1	1	NUM
ejpam-6344	45	32	-	-	PUNCT
ejpam-6344	45	33	qudit	qudit	NOUN
ejpam-6344	45	34	gates	gate	NOUN
ejpam-6344	45	35	is	be	AUX
ejpam-6344	45	36	sufficient	sufficient	ADJ
ejpam-6344	45	37	to	to	PART
ejpam-6344	45	38	generate	generate	VERB
ejpam-6344	45	39	all	all	DET
ejpam-6344	45	40	qudit	qudit	NOUN
ejpam-6344	45	41	gates	gate	NOUN
ejpam-6344	45	42	.	.	PUNCT
ejpam-6344	46	1	it	it	PRON
ejpam-6344	46	2	is	be	AUX
ejpam-6344	46	3	well	well	ADV
ejpam-6344	46	4	known	know	VERB
ejpam-6344	46	5	that	that	SCONJ
ejpam-6344	46	6	a	a	DET
ejpam-6344	46	7	quantum	quantum	ADJ
ejpam-6344	46	8	logic	logic	NOUN
ejpam-6344	46	9	gate	gate	NOUN
ejpam-6344	46	10	acting	act	VERB
ejpam-6344	46	11	on	on	ADP
ejpam-6344	46	12	two	two	NUM
ejpam-6344	46	13	d	d	ADJ
ejpam-6344	46	14	-	-	PUNCT
ejpam-6344	46	15	level	level	NOUN
ejpam-6344	46	16	qudits	qudit	NOUN
ejpam-6344	46	17	is	be	AUX
ejpam-6344	46	18	universal	universal	ADJ
ejpam-6344	46	19	for	for	ADP
ejpam-6344	46	20	quantum	quantum	NOUN
ejpam-6344	46	21	computing	computing	NOUN
ejpam-6344	47	1	[	[	X
ejpam-6344	47	2	13	13	NUM
ejpam-6344	47	3	]	]	PUNCT
ejpam-6344	47	4	if	if	SCONJ
ejpam-6344	47	5	and	and	CCONJ
ejpam-6344	47	6	only	only	ADV
ejpam-6344	47	7	if	if	SCONJ
ejpam-6344	47	8	it	it	PRON
ejpam-6344	47	9	is	be	AUX
ejpam-6344	47	10	entangling	entangle	VERB
ejpam-6344	47	11	[	[	PUNCT
ejpam-6344	47	12	30	30	NUM
ejpam-6344	47	13	]	]	PUNCT
ejpam-6344	47	14	.	.	PUNCT
ejpam-6344	48	1	on	on	ADP
ejpam-6344	48	2	a	a	DET
ejpam-6344	48	3	related	relate	VERB
ejpam-6344	48	4	note	note	NOUN
ejpam-6344	48	5	,	,	PUNCT
ejpam-6344	48	6	entangling	entangle	VERB
ejpam-6344	48	7	(	(	PUNCT
ejpam-6344	48	8	unitary	unitary	ADJ
ejpam-6344	48	9	)	)	PUNCT
ejpam-6344	48	10	solutions	solution	NOUN
ejpam-6344	48	11	of	of	ADP
ejpam-6344	48	12	the	the	DET
ejpam-6344	48	13	yang	yang	PROPN
ejpam-6344	48	14	-	-	PUNCT
ejpam-6344	48	15	baxter	baxter	PROPN
ejpam-6344	48	16	equation	equation	NOUN
ejpam-6344	48	17	[	[	X
ejpam-6344	48	18	18–20	18–20	NUM
ejpam-6344	48	19	]	]	PUNCT
ejpam-6344	48	20	have	have	AUX
ejpam-6344	48	21	proven	prove	VERB
ejpam-6344	48	22	useful	useful	ADJ
ejpam-6344	48	23	in	in	ADP
ejpam-6344	48	24	quantum	quantum	ADJ
ejpam-6344	48	25	information	information	NOUN
ejpam-6344	48	26	theory	theory	NOUN
ejpam-6344	48	27	,	,	PUNCT
ejpam-6344	48	28	primarily	primarily	ADV
ejpam-6344	48	29	as	as	ADP
ejpam-6344	48	30	effective	effective	ADJ
ejpam-6344	48	31	sources	source	NOUN
ejpam-6344	48	32	of	of	ADP
ejpam-6344	48	33	universal	universal	ADJ
ejpam-6344	48	34	quantum	quantum	ADJ
ejpam-6344	48	35	logic	logic	NOUN
ejpam-6344	48	36	gates	gate	NOUN
ejpam-6344	48	37	[	[	X
ejpam-6344	48	38	23	23	NUM
ejpam-6344	48	39	,	,	PUNCT
ejpam-6344	48	40	25	25	NUM
ejpam-6344	48	41	,	,	PUNCT
ejpam-6344	48	42	30	30	NUM
ejpam-6344	48	43	]	]	PUNCT
ejpam-6344	48	44	.	.	PUNCT
ejpam-6344	49	1	they	they	PRON
ejpam-6344	49	2	have	have	AUX
ejpam-6344	49	3	also	also	ADV
ejpam-6344	49	4	been	be	AUX
ejpam-6344	49	5	shown	show	VERB
ejpam-6344	49	6	to	to	PART
ejpam-6344	49	7	produce	produce	VERB
ejpam-6344	49	8	non	non	ADJ
ejpam-6344	49	9	-	-	ADJ
ejpam-6344	49	10	constant	constant	ADJ
ejpam-6344	49	11	knot	knot	NOUN
ejpam-6344	49	12	invariants	invariant	NOUN
ejpam-6344	49	13	[	[	X
ejpam-6344	49	14	26	26	NUM
ejpam-6344	49	15	]	]	PUNCT
ejpam-6344	49	16	,	,	PUNCT
ejpam-6344	49	17	via	via	ADP
ejpam-6344	49	18	the	the	DET
ejpam-6344	49	19	turaev	turaev	NOUN
ejpam-6344	49	20	invariant	invariant	ADJ
ejpam-6344	50	1	[	[	X
ejpam-6344	50	2	28	28	NUM
ejpam-6344	50	3	]	]	PUNCT
ejpam-6344	50	4	.	.	PUNCT
ejpam-6344	51	1	consequently	consequently	ADV
ejpam-6344	51	2	,	,	PUNCT
ejpam-6344	51	3	they	they	PRON
ejpam-6344	51	4	play	play	VERB
ejpam-6344	51	5	an	an	DET
ejpam-6344	51	6	important	important	ADJ
ejpam-6344	51	7	role	role	NOUN
ejpam-6344	51	8	in	in	ADP
ejpam-6344	51	9	linking	link	VERB
ejpam-6344	51	10	quantum	quantum	ADJ
ejpam-6344	51	11	and	and	CCONJ
ejpam-6344	51	12	topological	topological	ADJ
ejpam-6344	51	13	entanglement	entanglement	NOUN
ejpam-6344	52	1	[	[	X
ejpam-6344	52	2	23	23	NUM
ejpam-6344	52	3	,	,	PUNCT
ejpam-6344	52	4	26	26	NUM
ejpam-6344	52	5	]	]	PUNCT
ejpam-6344	52	6	.	.	PUNCT
ejpam-6344	53	1	let	let	VERB
ejpam-6344	53	2	v	v	PART
ejpam-6344	53	3	be	be	AUX
ejpam-6344	53	4	any	any	DET
ejpam-6344	53	5	complex	complex	ADJ
ejpam-6344	53	6	vector	vector	NOUN
ejpam-6344	53	7	space	space	NOUN
ejpam-6344	53	8	,	,	PUNCT
ejpam-6344	53	9	and	and	CCONJ
ejpam-6344	53	10	let	let	VERB
ejpam-6344	53	11	i	i	PRON
ejpam-6344	53	12	denote	denote	VERB
ejpam-6344	53	13	the	the	DET
ejpam-6344	53	14	identity	identity	NOUN
ejpam-6344	53	15	map	map	NOUN
ejpam-6344	53	16	on	on	ADP
ejpam-6344	53	17	v	v	NOUN
ejpam-6344	53	18	.	.	PUNCT
ejpam-6344	54	1	a	a	DET
ejpam-6344	54	2	linear	linear	ADJ
ejpam-6344	54	3	operator	operator	NOUN
ejpam-6344	54	4	r	r	NOUN
ejpam-6344	54	5	:	:	PUNCT
ejpam-6344	54	6	v	v	ADP
ejpam-6344	54	7	⊗v	⊗v	NOUN
ejpam-6344	54	8	→	→	SYM
ejpam-6344	54	9	v	v	ADP
ejpam-6344	54	10	⊗v	⊗v	NOUN
ejpam-6344	54	11	is	be	AUX
ejpam-6344	54	12	said	say	VERB
ejpam-6344	54	13	to	to	PART
ejpam-6344	54	14	be	be	AUX
ejpam-6344	54	15	a	a	DET
ejpam-6344	54	16	solution	solution	NOUN
ejpam-6344	54	17	to	to	ADP
ejpam-6344	54	18	the	the	DET
ejpam-6344	54	19	constant	constant	ADJ
ejpam-6344	54	20	braided	braid	VERB
ejpam-6344	54	21	yang	yang	PROPN
ejpam-6344	54	22	–	–	PUNCT
ejpam-6344	54	23	baxter	baxter	PROPN
ejpam-6344	54	24	equation	equation	NOUN
ejpam-6344	54	25	(	(	PUNCT
ejpam-6344	54	26	bybe	bybe	NOUN
ejpam-6344	54	27	)	)	PUNCT
ejpam-6344	54	28	if	if	SCONJ
ejpam-6344	54	29	[	[	X
ejpam-6344	54	30	18–20	18–20	NUM
ejpam-6344	54	31	]	]	X
ejpam-6344	54	32	r23r12r23	r23r12r23	PROPN
ejpam-6344	54	33	=	=	SYM
ejpam-6344	54	34	r12r23r12	r12r23r12	PROPN
ejpam-6344	54	35	.	.	PUNCT
ejpam-6344	55	1	(	(	PUNCT
ejpam-6344	55	2	5	5	NUM
ejpam-6344	55	3	)	)	PUNCT
ejpam-6344	55	4	similarly	similarly	ADV
ejpam-6344	55	5	,	,	PUNCT
ejpam-6344	55	6	a	a	DET
ejpam-6344	55	7	linear	linear	ADJ
ejpam-6344	55	8	map	map	NOUN
ejpam-6344	55	9	r̂	r̂	NOUN
ejpam-6344	55	10	:	:	PUNCT
ejpam-6344	55	11	v	v	ADP
ejpam-6344	55	12	⊗	⊗	PROPN
ejpam-6344	55	13	v	v	NOUN
ejpam-6344	55	14	→	→	SYM
ejpam-6344	55	15	v	v	NUM
ejpam-6344	55	16	⊗	⊗	PROPN
ejpam-6344	55	17	v	v	NOUN
ejpam-6344	55	18	is	be	AUX
ejpam-6344	55	19	a	a	DET
ejpam-6344	55	20	solution	solution	NOUN
ejpam-6344	55	21	to	to	ADP
ejpam-6344	55	22	the	the	DET
ejpam-6344	55	23	constant	constant	ADJ
ejpam-6344	55	24	quantum	quantum	PROPN
ejpam-6344	55	25	yang	yang	PROPN
ejpam-6344	55	26	–	–	PUNCT
ejpam-6344	55	27	baxter	baxter	PROPN
ejpam-6344	55	28	equation	equation	NOUN
ejpam-6344	55	29	(	(	PUNCT
ejpam-6344	55	30	qybe	qybe	NOUN
ejpam-6344	55	31	)	)	PUNCT
ejpam-6344	55	32	if	if	SCONJ
ejpam-6344	55	33	r̂12r̂13r̂23	r̂12r̂13r̂23	NUM
ejpam-6344	55	34	=	=	SYM
ejpam-6344	55	35	r̂23r̂13r̂12	r̂23r̂13r̂12	NOUN
ejpam-6344	55	36	.	.	PUNCT
ejpam-6344	56	1	(	(	PUNCT
ejpam-6344	56	2	6	6	NUM
ejpam-6344	56	3	)	)	PUNCT
ejpam-6344	56	4	in	in	ADP
ejpam-6344	56	5	the	the	DET
ejpam-6344	56	6	above	above	ADJ
ejpam-6344	56	7	relations	relation	NOUN
ejpam-6344	56	8	,	,	PUNCT
ejpam-6344	56	9	the	the	DET
ejpam-6344	56	10	operators	operator	NOUN
ejpam-6344	56	11	r12	r12	VERB
ejpam-6344	56	12	,	,	PUNCT
ejpam-6344	56	13	r23	r23	NOUN
ejpam-6344	56	14	,	,	PUNCT
ejpam-6344	56	15	and	and	CCONJ
ejpam-6344	56	16	r13	r13	NOUN
ejpam-6344	56	17	all	all	PRON
ejpam-6344	56	18	belong	belong	VERB
ejpam-6344	56	19	to	to	ADP
ejpam-6344	56	20	end(v	end(v	PROPN
ejpam-6344	56	21	⊗v	⊗v	PROPN
ejpam-6344	56	22	⊗v	⊗v	NOUN
ejpam-6344	56	23	)	)	PUNCT
ejpam-6344	56	24	and	and	CCONJ
ejpam-6344	56	25	are	be	AUX
ejpam-6344	56	26	defined	define	VERB
ejpam-6344	56	27	as	as	SCONJ
ejpam-6344	56	28	follows	follow	VERB
ejpam-6344	56	29	:	:	PUNCT
ejpam-6344	56	30	r12	r12	ADJ
ejpam-6344	56	31	:	:	PUNCT
ejpam-6344	57	1	=	=	SYM
ejpam-6344	57	2	r⊗	r⊗	PROPN
ejpam-6344	57	3	i	i	PRON
ejpam-6344	57	4	,	,	PUNCT
ejpam-6344	57	5	a.	a.	NOUN
ejpam-6344	57	6	pourkia	pourkia	NOUN
ejpam-6344	57	7	/	/	SYM
ejpam-6344	57	8	eur	eur	PROPN
ejpam-6344	57	9	.	.	PUNCT
ejpam-6344	58	1	j.	j.	PROPN
ejpam-6344	58	2	pure	pure	PROPN
ejpam-6344	58	3	appl	appl	PROPN
ejpam-6344	58	4	.	.	PROPN
ejpam-6344	58	5	math	math	PROPN
ejpam-6344	58	6	,	,	PUNCT
ejpam-6344	58	7	18	18	NUM
ejpam-6344	58	8	(	(	PUNCT
ejpam-6344	58	9	3	3	NUM
ejpam-6344	58	10	)	)	PUNCT
ejpam-6344	58	11	(	(	PUNCT
ejpam-6344	58	12	2025	2025	NUM
ejpam-6344	58	13	)	)	PUNCT
ejpam-6344	58	14	,	,	PUNCT
ejpam-6344	58	15	6344	6344	NUM
ejpam-6344	58	16	4	4	NUM
ejpam-6344	58	17	of	of	ADP
ejpam-6344	58	18	14	14	NUM
ejpam-6344	58	19	r23	r23	NOUN
ejpam-6344	58	20	:	:	PUNCT
ejpam-6344	59	1	=	=	SYM
ejpam-6344	59	2	i	i	PRON
ejpam-6344	59	3	⊗r	⊗r	NOUN
ejpam-6344	59	4	,	,	PUNCT
ejpam-6344	59	5	r13(u	r13(u	PROPN
ejpam-6344	59	6	,	,	PUNCT
ejpam-6344	59	7	v	v	NOUN
ejpam-6344	59	8	)	)	PUNCT
ejpam-6344	59	9	:	:	PUNCT
ejpam-6344	59	10	=	=	SYM
ejpam-6344	59	11	(	(	PUNCT
ejpam-6344	59	12	i	i	NOUN
ejpam-6344	59	13	⊗	⊗	PROPN
ejpam-6344	59	14	s)r12(i	s)r12(i	PROPN
ejpam-6344	59	15	⊗	⊗	PROPN
ejpam-6344	59	16	s	s	PROPN
ejpam-6344	59	17	)	)	PUNCT
ejpam-6344	59	18	,	,	PUNCT
ejpam-6344	59	19	where	where	SCONJ
ejpam-6344	59	20	the	the	DET
ejpam-6344	59	21	map	map	NOUN
ejpam-6344	59	22	s	s	VERB
ejpam-6344	59	23	:	:	PUNCT
ejpam-6344	59	24	v	v	NUM
ejpam-6344	59	25	⊗	⊗	PROPN
ejpam-6344	59	26	v	v	NOUN
ejpam-6344	59	27	→	→	SYM
ejpam-6344	59	28	v	v	NUM
ejpam-6344	59	29	⊗	⊗	PROPN
ejpam-6344	59	30	v	v	NOUN
ejpam-6344	59	31	is	be	AUX
ejpam-6344	59	32	the	the	DET
ejpam-6344	59	33	usual	usual	ADJ
ejpam-6344	59	34	swap	swap	NOUN
ejpam-6344	59	35	gate	gate	NOUN
ejpam-6344	59	36	(	(	PUNCT
ejpam-6344	59	37	swap	swap	NOUN
ejpam-6344	59	38	)	)	PUNCT
ejpam-6344	59	39	,	,	PUNCT
ejpam-6344	59	40	sometimes	sometimes	ADV
ejpam-6344	59	41	called	call	VERB
ejpam-6344	59	42	the	the	DET
ejpam-6344	59	43	flip	flip	ADJ
ejpam-6344	59	44	map	map	NOUN
ejpam-6344	59	45	.	.	PUNCT
ejpam-6344	60	1	remark	remark	PROPN
ejpam-6344	60	2	1	1	NUM
ejpam-6344	60	3	.	.	PUNCT
ejpam-6344	61	1	equations	equation	NOUN
ejpam-6344	61	2	(	(	PUNCT
ejpam-6344	61	3	5	5	NUM
ejpam-6344	61	4	)	)	PUNCT
ejpam-6344	61	5	and	and	CCONJ
ejpam-6344	61	6	(	(	PUNCT
ejpam-6344	61	7	6	6	NUM
ejpam-6344	61	8	)	)	PUNCT
ejpam-6344	61	9	represent	represent	VERB
ejpam-6344	61	10	two	two	NUM
ejpam-6344	61	11	sides	side	NOUN
ejpam-6344	61	12	of	of	ADP
ejpam-6344	61	13	the	the	DET
ejpam-6344	61	14	same	same	ADJ
ejpam-6344	61	15	coin	coin	NOUN
ejpam-6344	61	16	in	in	ADP
ejpam-6344	61	17	the	the	DET
ejpam-6344	61	18	following	follow	VERB
ejpam-6344	61	19	sense	sense	NOUN
ejpam-6344	61	20	.	.	PUNCT
ejpam-6344	62	1	for	for	ADP
ejpam-6344	62	2	any	any	DET
ejpam-6344	62	3	solution	solution	NOUN
ejpam-6344	62	4	r	r	NOUN
ejpam-6344	62	5	to	to	ADP
ejpam-6344	62	6	equation	equation	NOUN
ejpam-6344	62	7	(	(	PUNCT
ejpam-6344	62	8	5	5	NUM
ejpam-6344	62	9	)	)	PUNCT
ejpam-6344	62	10	,	,	PUNCT
ejpam-6344	62	11	the	the	DET
ejpam-6344	62	12	transformation	transformation	NOUN
ejpam-6344	62	13	r̂	r̂	NOUN
ejpam-6344	62	14	=	=	SYM
ejpam-6344	62	15	rs	rs	X
ejpam-6344	62	16	(	(	PUNCT
ejpam-6344	62	17	or	or	CCONJ
ejpam-6344	62	18	sr	sr	PROPN
ejpam-6344	62	19	)	)	PUNCT
ejpam-6344	62	20	yields	yield	VERB
ejpam-6344	62	21	a	a	DET
ejpam-6344	62	22	solution	solution	NOUN
ejpam-6344	62	23	to	to	ADP
ejpam-6344	62	24	equation	equation	NOUN
ejpam-6344	62	25	(	(	PUNCT
ejpam-6344	62	26	6	6	NUM
ejpam-6344	62	27	)	)	PUNCT
ejpam-6344	62	28	,	,	PUNCT
ejpam-6344	62	29	and	and	CCONJ
ejpam-6344	62	30	vice	vice	ADV
ejpam-6344	62	31	versa	versa	ADV
ejpam-6344	62	32	.	.	PUNCT
ejpam-6344	63	1	finding	find	VERB
ejpam-6344	63	2	all	all	DET
ejpam-6344	63	3	solutions	solution	NOUN
ejpam-6344	63	4	to	to	ADP
ejpam-6344	63	5	these	these	DET
ejpam-6344	63	6	equations	equation	NOUN
ejpam-6344	63	7	for	for	ADP
ejpam-6344	63	8	dimensions	dimension	NOUN
ejpam-6344	63	9	d	d	X
ejpam-6344	63	10	>	>	X
ejpam-6344	63	11	2	2	NUM
ejpam-6344	63	12	is	be	AUX
ejpam-6344	63	13	extremely	extremely	ADV
ejpam-6344	63	14	challenging	challenging	ADJ
ejpam-6344	63	15	and	and	CCONJ
ejpam-6344	63	16	remains	remain	VERB
ejpam-6344	63	17	an	an	DET
ejpam-6344	63	18	open	open	ADJ
ejpam-6344	63	19	problem	problem	NOUN
ejpam-6344	63	20	[	[	X
ejpam-6344	63	21	18	18	NUM
ejpam-6344	63	22	,	,	PUNCT
ejpam-6344	63	23	19	19	NUM
ejpam-6344	63	24	,	,	PUNCT
ejpam-6344	63	25	25	25	NUM
ejpam-6344	63	26	,	,	PUNCT
ejpam-6344	63	27	29	29	NUM
ejpam-6344	63	28	]	]	PUNCT
ejpam-6344	63	29	.	.	PUNCT
ejpam-6344	64	1	3	3	X
ejpam-6344	64	2	.	.	X
ejpam-6344	64	3	αswap	αswap	NOUN
ejpam-6344	64	4	,	,	PUNCT
ejpam-6344	64	5	a	a	DET
ejpam-6344	64	6	universal	universal	ADJ
ejpam-6344	64	7	quantum	quantum	ADJ
ejpam-6344	64	8	logic	logic	NOUN
ejpam-6344	64	9	gate	gate	NOUN
ejpam-6344	64	10	and	and	CCONJ
ejpam-6344	64	11	a	a	DET
ejpam-6344	64	12	solution	solution	NOUN
ejpam-6344	64	13	to	to	ADP
ejpam-6344	64	14	the	the	DET
ejpam-6344	64	15	yang	yang	PROPN
ejpam-6344	64	16	–	–	PUNCT
ejpam-6344	64	17	baxter	baxter	PROPN
ejpam-6344	64	18	equation	equation	NOUN
ejpam-6344	64	19	in	in	ADP
ejpam-6344	64	20	this	this	DET
ejpam-6344	64	21	section	section	NOUN
ejpam-6344	64	22	we	we	PRON
ejpam-6344	64	23	introduce	introduce	VERB
ejpam-6344	64	24	an	an	DET
ejpam-6344	64	25	infinite	infinite	ADJ
ejpam-6344	64	26	family	family	NOUN
ejpam-6344	64	27	of	of	ADP
ejpam-6344	64	28	universal	universal	ADJ
ejpam-6344	64	29	quantum	quantum	ADJ
ejpam-6344	64	30	logic	logic	NOUN
ejpam-6344	64	31	gates	gate	NOUN
ejpam-6344	64	32	that	that	PRON
ejpam-6344	64	33	extends	extend	VERB
ejpam-6344	64	34	the	the	DET
ejpam-6344	64	35	usual	usual	ADJ
ejpam-6344	64	36	swap	swap	NOUN
ejpam-6344	64	37	and	and	CCONJ
ejpam-6344	64	38	iswap	iswap	NOUN
ejpam-6344	64	39	gates	gate	NOUN
ejpam-6344	64	40	to	to	ADP
ejpam-6344	64	41	all	all	DET
ejpam-6344	64	42	dimensions	dimension	NOUN
ejpam-6344	64	43	d	d	X
ejpam-6344	64	44	≥	≥	PROPN
ejpam-6344	64	45	2	2	NUM
ejpam-6344	64	46	,	,	PUNCT
ejpam-6344	64	47	beyond	beyond	ADP
ejpam-6344	64	48	their	their	PRON
ejpam-6344	64	49	previously	previously	ADV
ejpam-6344	64	50	found	find	VERB
ejpam-6344	64	51	extensions	extension	NOUN
ejpam-6344	64	52	in	in	ADP
ejpam-6344	64	53	[	[	X
ejpam-6344	64	54	15	15	NUM
ejpam-6344	64	55	]	]	PUNCT
ejpam-6344	64	56	.	.	PUNCT
ejpam-6344	65	1	we	we	PRON
ejpam-6344	65	2	name	name	VERB
ejpam-6344	65	3	these	these	DET
ejpam-6344	65	4	gates	gate	NOUN
ejpam-6344	65	5	αswap	αswap	VERB
ejpam-6344	65	6	.	.	PUNCT
ejpam-6344	66	1	here	here	ADV
ejpam-6344	66	2	,	,	PUNCT
ejpam-6344	66	3	α	α	PRON
ejpam-6344	66	4	represents	represent	VERB
ejpam-6344	66	5	a	a	DET
ejpam-6344	66	6	d	d	NOUN
ejpam-6344	66	7	-	-	NOUN
ejpam-6344	66	8	tuple	tuple	ADJ
ejpam-6344	66	9	,	,	PUNCT
ejpam-6344	66	10	(	(	PUNCT
ejpam-6344	66	11	α1	α1	PROPN
ejpam-6344	66	12	,	,	PUNCT
ejpam-6344	66	13	α2	α2	ADJ
ejpam-6344	66	14	,	,	PUNCT
ejpam-6344	66	15	·	·	PUNCT
ejpam-6344	66	16	·	·	PUNCT
ejpam-6344	66	17	·	·	PUNCT
ejpam-6344	66	18	,	,	PUNCT
ejpam-6344	66	19	αd	αd	PROPN
ejpam-6344	66	20	)	)	PUNCT
ejpam-6344	66	21	,	,	PUNCT
ejpam-6344	66	22	in	in	ADP
ejpam-6344	66	23	which	which	PRON
ejpam-6344	66	24	the	the	DET
ejpam-6344	66	25	αi	αi	NOUN
ejpam-6344	66	26	’s	’s	PART
ejpam-6344	66	27	are	be	AUX
ejpam-6344	66	28	arbitrary	arbitrary	ADJ
ejpam-6344	66	29	real	real	ADJ
ejpam-6344	66	30	numbers	number	NOUN
ejpam-6344	66	31	.	.	PUNCT
ejpam-6344	67	1	moreover	moreover	ADV
ejpam-6344	67	2	,	,	PUNCT
ejpam-6344	67	3	we	we	PRON
ejpam-6344	67	4	show	show	VERB
ejpam-6344	67	5	that	that	SCONJ
ejpam-6344	67	6	αswap	αswap	NOUN
ejpam-6344	67	7	provides	provide	VERB
ejpam-6344	67	8	solutions	solution	NOUN
ejpam-6344	67	9	to	to	ADP
ejpam-6344	67	10	the	the	DET
ejpam-6344	67	11	constant	constant	ADJ
ejpam-6344	67	12	yang	yang	PROPN
ejpam-6344	67	13	–	–	PUNCT
ejpam-6344	67	14	baxter	baxter	PROPN
ejpam-6344	67	15	equations	equation	NOUN
ejpam-6344	67	16	(	(	PUNCT
ejpam-6344	67	17	5	5	NUM
ejpam-6344	67	18	)	)	PUNCT
ejpam-6344	67	19	and	and	CCONJ
ejpam-6344	67	20	(	(	PUNCT
ejpam-6344	67	21	6	6	NUM
ejpam-6344	67	22	)	)	PUNCT
ejpam-6344	67	23	in	in	ADP
ejpam-6344	67	24	all	all	DET
ejpam-6344	67	25	dimensions	dimension	NOUN
ejpam-6344	67	26	.	.	PUNCT
ejpam-6344	68	1	definition	definition	NOUN
ejpam-6344	68	2	1	1	NUM
ejpam-6344	68	3	.	.	PUNCT
ejpam-6344	69	1	for	for	ADP
ejpam-6344	69	2	any	any	DET
ejpam-6344	69	3	d	d	PROPN
ejpam-6344	69	4	≥	≥	NUM
ejpam-6344	69	5	2	2	NUM
ejpam-6344	69	6	and	and	CCONJ
ejpam-6344	69	7	for	for	ADP
ejpam-6344	69	8	any	any	DET
ejpam-6344	69	9	set	set	NOUN
ejpam-6344	69	10	of	of	ADP
ejpam-6344	69	11	real	real	ADJ
ejpam-6344	69	12	numbers	number	NOUN
ejpam-6344	69	13	α1	α1	PROPN
ejpam-6344	69	14	,	,	PUNCT
ejpam-6344	69	15	α2	α2	ADJ
ejpam-6344	69	16	,	,	PUNCT
ejpam-6344	69	17	·	·	PUNCT
ejpam-6344	69	18	·	·	PUNCT
ejpam-6344	69	19	·	·	PUNCT
ejpam-6344	69	20	,	,	PUNCT
ejpam-6344	69	21	αd2	αd2	NOUN
ejpam-6344	69	22	,	,	PUNCT
ejpam-6344	69	23	we	we	PRON
ejpam-6344	69	24	define	define	VERB
ejpam-6344	69	25	the	the	DET
ejpam-6344	69	26	quantum	quantum	PROPN
ejpam-6344	69	27	gate	gate	NOUN
ejpam-6344	69	28	αswap	αswap	PROPN
ejpam-6344	69	29	(	(	PUNCT
ejpam-6344	69	30	denoted	denote	VERB
ejpam-6344	69	31	by	by	ADP
ejpam-6344	69	32	αs	αs	INTJ
ejpam-6344	69	33	for	for	ADP
ejpam-6344	69	34	short	short	ADJ
ejpam-6344	69	35	)	)	PUNCT
ejpam-6344	69	36	by	by	ADP
ejpam-6344	69	37	the	the	DET
ejpam-6344	69	38	following	follow	VERB
ejpam-6344	69	39	relations	relation	NOUN
ejpam-6344	69	40	:	:	PUNCT
ejpam-6344	69	41	αsi	αsi	NOUN
ejpam-6344	69	42	,	,	PUNCT
ejpam-6344	69	43	j	j	NOUN
ejpam-6344	69	44	=	=	PUNCT
ejpam-6344	69	45	eiαi	eiαi	NOUN
ejpam-6344	69	46	,	,	PUNCT
ejpam-6344	69	47	for	for	ADP
ejpam-6344	69	48	i	i	PRON
ejpam-6344	69	49	=	=	SYM
ejpam-6344	69	50	(	(	PUNCT
ejpam-6344	69	51	t−	t−	PROPN
ejpam-6344	69	52	1)d+	1)d+	NUM
ejpam-6344	69	53	s	s	NOUN
ejpam-6344	69	54	and	and	CCONJ
ejpam-6344	69	55	j	j	PROPN
ejpam-6344	70	1	=	=	PRON
ejpam-6344	70	2	(	(	PUNCT
ejpam-6344	70	3	s−	s−	PROPN
ejpam-6344	70	4	1)d+	1)d+	NUM
ejpam-6344	70	5	t	t	PROPN
ejpam-6344	70	6	,	,	PUNCT
ejpam-6344	70	7	(	(	PUNCT
ejpam-6344	70	8	7	7	X
ejpam-6344	70	9	)	)	PUNCT
ejpam-6344	70	10	where	where	SCONJ
ejpam-6344	70	11	1	1	NUM
ejpam-6344	70	12	≤	≤	NOUN
ejpam-6344	70	13	t	t	NOUN
ejpam-6344	70	14	≤	≤	NUM
ejpam-6344	70	15	d	d	PROPN
ejpam-6344	70	16	and	and	CCONJ
ejpam-6344	70	17	1	1	NUM
ejpam-6344	70	18	≤	≤	NOUN
ejpam-6344	70	19	s	s	PART
ejpam-6344	70	20	≤	≤	PROPN
ejpam-6344	70	21	d.	d.	NOUN
ejpam-6344	70	22	we	we	PRON
ejpam-6344	70	23	let	let	VERB
ejpam-6344	70	24	αsi	αsi	NOUN
ejpam-6344	70	25	,	,	PUNCT
ejpam-6344	70	26	j	j	PROPN
ejpam-6344	70	27	=	=	PUNCT
ejpam-6344	70	28	0	0	PROPN
ejpam-6344	70	29	for	for	ADP
ejpam-6344	70	30	all	all	DET
ejpam-6344	70	31	other	other	ADJ
ejpam-6344	70	32	values	value	NOUN
ejpam-6344	70	33	of	of	ADP
ejpam-6344	70	34	i	i	PRON
ejpam-6344	70	35	,	,	PUNCT
ejpam-6344	70	36	j.	j.	PROPN
ejpam-6344	70	37	here	here	ADV
ejpam-6344	70	38	,	,	PUNCT
ejpam-6344	70	39	αsi	αsi	PROPN
ejpam-6344	70	40	,	,	PUNCT
ejpam-6344	70	41	j	j	PROPN
ejpam-6344	70	42	denotes	denote	VERB
ejpam-6344	70	43	the	the	DET
ejpam-6344	70	44	entry	entry	NOUN
ejpam-6344	70	45	of	of	ADP
ejpam-6344	70	46	the	the	DET
ejpam-6344	70	47	αswap	αswap	NOUN
ejpam-6344	70	48	located	locate	VERB
ejpam-6344	70	49	at	at	ADP
ejpam-6344	70	50	row	row	NOUN
ejpam-6344	71	1	i	i	PROPN
ejpam-6344	71	2	and	and	CCONJ
ejpam-6344	71	3	column	column	PROPN
ejpam-6344	71	4	j.	j.	PROPN
ejpam-6344	71	5	for	for	ADP
ejpam-6344	71	6	both	both	PRON
ejpam-6344	71	7	d	d	NOUN
ejpam-6344	71	8	=	=	SYM
ejpam-6344	71	9	2	2	NUM
ejpam-6344	71	10	and	and	CCONJ
ejpam-6344	71	11	d	d	NOUN
ejpam-6344	71	12	=	=	SYM
ejpam-6344	71	13	3	3	NUM
ejpam-6344	71	14	,	,	PUNCT
ejpam-6344	71	15	the	the	DET
ejpam-6344	71	16	gate	gate	NOUN
ejpam-6344	71	17	αswap	αswap	PROPN
ejpam-6344	71	18	is	be	AUX
ejpam-6344	71	19	illustrated	illustrate	VERB
ejpam-6344	71	20	below	below	ADV
ejpam-6344	71	21	.	.	PUNCT
ejpam-6344	72	1	αs	αs	X
ejpam-6344	72	2	=	=	PUNCT
ejpam-6344	73	1			PROPN
ejpam-6344	73	2	eiα1	eiα1	PROPN
ejpam-6344	73	3	0	0	NUM
ejpam-6344	73	4	0	0	NUM
ejpam-6344	73	5	0	0	NUM
ejpam-6344	73	6	0	0	NUM
ejpam-6344	73	7	0	0	NUM
ejpam-6344	73	8	eiα2	eiα2	NOUN
ejpam-6344	73	9	0	0	NUM
ejpam-6344	73	10	0	0	NUM
ejpam-6344	73	11	eiα3	eiα3	PROPN
ejpam-6344	73	12	0	0	NUM
ejpam-6344	73	13	0	0	NUM
ejpam-6344	73	14	0	0	NUM
ejpam-6344	73	15	0	0	NUM
ejpam-6344	73	16	0	0	NUM
ejpam-6344	73	17	eiα4	eiα4	NOUN
ejpam-6344	73	18			NOUN
ejpam-6344	74	1	αs	αs	ADJ
ejpam-6344	74	2	=	=	PUNCT
ejpam-6344	74	3			ADJ
ejpam-6344	74	4	eiα1	eiα1	PROPN
ejpam-6344	74	5	0	0	NUM
ejpam-6344	74	6	0	0	NUM
ejpam-6344	74	7	0	0	NUM
ejpam-6344	74	8	0	0	NUM
ejpam-6344	74	9	0	0	NUM
ejpam-6344	74	10	0	0	NUM
ejpam-6344	74	11	0	0	NUM
ejpam-6344	74	12	0	0	NUM
ejpam-6344	74	13	0	0	NUM
ejpam-6344	74	14	0	0	NUM
ejpam-6344	74	15	0	0	NUM
ejpam-6344	74	16	eiα2	eiα2	NOUN
ejpam-6344	74	17	0	0	NUM
ejpam-6344	74	18	0	0	NUM
ejpam-6344	74	19	0	0	NUM
ejpam-6344	74	20	0	0	NUM
ejpam-6344	74	21	0	0	NUM
ejpam-6344	74	22	0	0	NUM
ejpam-6344	74	23	0	0	NUM
ejpam-6344	74	24	0	0	NUM
ejpam-6344	74	25	0	0	NUM
ejpam-6344	74	26	0	0	NUM
ejpam-6344	74	27	0	0	NUM
ejpam-6344	74	28	eiα3	eiα3	NOUN
ejpam-6344	74	29	0	0	NUM
ejpam-6344	74	30	0	0	SYM
ejpam-6344	74	31	0	0	NUM
ejpam-6344	74	32	eiα4	eiα4	NOUN
ejpam-6344	74	33	0	0	NUM
ejpam-6344	74	34	0	0	NUM
ejpam-6344	74	35	0	0	NUM
ejpam-6344	74	36	0	0	NUM
ejpam-6344	74	37	0	0	NUM
ejpam-6344	74	38	0	0	NUM
ejpam-6344	74	39	0	0	NUM
ejpam-6344	74	40	0	0	NUM
ejpam-6344	74	41	0	0	NUM
ejpam-6344	74	42	0	0	NUM
ejpam-6344	74	43	0	0	NUM
ejpam-6344	74	44	eiα5	eiα5	NOUN
ejpam-6344	74	45	0	0	NUM
ejpam-6344	74	46	0	0	NUM
ejpam-6344	74	47	0	0	NUM
ejpam-6344	74	48	0	0	NUM
ejpam-6344	74	49	0	0	NUM
ejpam-6344	74	50	0	0	NUM
ejpam-6344	74	51	0	0	NUM
ejpam-6344	74	52	0	0	NUM
ejpam-6344	74	53	0	0	NUM
ejpam-6344	74	54	0	0	NUM
ejpam-6344	74	55	0	0	NUM
ejpam-6344	74	56	eiα6	eiα6	NOUN
ejpam-6344	74	57	0	0	NUM
ejpam-6344	74	58	0	0	NUM
ejpam-6344	74	59	0	0	NUM
ejpam-6344	75	1	eiα7	eiα7	NOUN
ejpam-6344	75	2	0	0	NUM
ejpam-6344	75	3	0	0	NUM
ejpam-6344	75	4	0	0	NUM
ejpam-6344	75	5	0	0	NUM
ejpam-6344	75	6	0	0	NUM
ejpam-6344	75	7	0	0	NUM
ejpam-6344	75	8	0	0	NUM
ejpam-6344	75	9	0	0	NUM
ejpam-6344	75	10	0	0	NUM
ejpam-6344	75	11	0	0	NUM
ejpam-6344	75	12	0	0	NUM
ejpam-6344	75	13	eiα8	eiα8	NOUN
ejpam-6344	75	14	0	0	NUM
ejpam-6344	75	15	0	0	NUM
ejpam-6344	75	16	0	0	NUM
ejpam-6344	75	17	0	0	NUM
ejpam-6344	75	18	0	0	NUM
ejpam-6344	75	19	0	0	NUM
ejpam-6344	75	20	0	0	NUM
ejpam-6344	75	21	0	0	NUM
ejpam-6344	75	22	0	0	NUM
ejpam-6344	75	23	0	0	NUM
ejpam-6344	75	24	0	0	NUM
ejpam-6344	75	25	eiα9	eiα9	NOUN
ejpam-6344	75	26			NOUN
ejpam-6344	75	27	a.	a.	NOUN
ejpam-6344	75	28	pourkia	pourkia	NOUN
ejpam-6344	75	29	/	/	SYM
ejpam-6344	75	30	eur	eur	PROPN
ejpam-6344	75	31	.	.	PUNCT
ejpam-6344	76	1	j.	j.	PROPN
ejpam-6344	76	2	pure	pure	PROPN
ejpam-6344	76	3	appl	appl	PROPN
ejpam-6344	76	4	.	.	PROPN
ejpam-6344	76	5	math	math	PROPN
ejpam-6344	76	6	,	,	PUNCT
ejpam-6344	76	7	18	18	NUM
ejpam-6344	76	8	(	(	PUNCT
ejpam-6344	76	9	3	3	NUM
ejpam-6344	76	10	)	)	PUNCT
ejpam-6344	76	11	(	(	PUNCT
ejpam-6344	76	12	2025	2025	NUM
ejpam-6344	76	13	)	)	PUNCT
ejpam-6344	76	14	,	,	PUNCT
ejpam-6344	76	15	6344	6344	NUM
ejpam-6344	76	16	5	5	NUM
ejpam-6344	76	17	of	of	ADP
ejpam-6344	76	18	14	14	NUM
ejpam-6344	76	19	remark	remark	NOUN
ejpam-6344	76	20	2	2	NUM
ejpam-6344	76	21	.	.	PUNCT
ejpam-6344	76	22	to	to	PART
ejpam-6344	76	23	give	give	VERB
ejpam-6344	76	24	the	the	DET
ejpam-6344	76	25	reader	reader	NOUN
ejpam-6344	76	26	some	some	DET
ejpam-6344	76	27	intuition	intuition	NOUN
ejpam-6344	76	28	behind	behind	ADP
ejpam-6344	76	29	the	the	DET
ejpam-6344	76	30	relations	relation	NOUN
ejpam-6344	76	31	in	in	ADP
ejpam-6344	76	32	(	(	PUNCT
ejpam-6344	76	33	7	7	NUM
ejpam-6344	76	34	)	)	PUNCT
ejpam-6344	76	35	,	,	PUNCT
ejpam-6344	76	36	let	let	VERB
ejpam-6344	76	37	us	we	PRON
ejpam-6344	76	38	compute	compute	VERB
ejpam-6344	76	39	the	the	DET
ejpam-6344	76	40	indices	index	NOUN
ejpam-6344	76	41	for	for	ADP
ejpam-6344	76	42	d	d	PROPN
ejpam-6344	76	43	=	=	SYM
ejpam-6344	76	44	3	3	X
ejpam-6344	76	45	.	.	X
ejpam-6344	76	46	consider	consider	VERB
ejpam-6344	76	47	1	1	NUM
ejpam-6344	76	48	≤	≤	NOUN
ejpam-6344	76	49	t	t	NOUN
ejpam-6344	76	50	≤	≤	NOUN
ejpam-6344	76	51	3	3	NUM
ejpam-6344	76	52	and	and	CCONJ
ejpam-6344	76	53	1	1	NUM
ejpam-6344	76	54	≤	≤	NUM
ejpam-6344	76	55	s	s	PART
ejpam-6344	76	56	≤	≤	NOUN
ejpam-6344	76	57	3	3	NUM
ejpam-6344	76	58	.	.	PUNCT
ejpam-6344	77	1	if	if	SCONJ
ejpam-6344	77	2	we	we	PRON
ejpam-6344	77	3	fix	fix	VERB
ejpam-6344	77	4	t	t	NOUN
ejpam-6344	77	5	=	=	SYM
ejpam-6344	77	6	1	1	NUM
ejpam-6344	77	7	and	and	CCONJ
ejpam-6344	77	8	compute	compute	VERB
ejpam-6344	77	9	the	the	DET
ejpam-6344	77	10	indices	index	NOUN
ejpam-6344	77	11	for	for	ADP
ejpam-6344	77	12	s	s	NOUN
ejpam-6344	77	13	=	=	SYM
ejpam-6344	77	14	1	1	NUM
ejpam-6344	77	15	,	,	PUNCT
ejpam-6344	77	16	2	2	NUM
ejpam-6344	77	17	,	,	PUNCT
ejpam-6344	77	18	3	3	NUM
ejpam-6344	77	19	,	,	PUNCT
ejpam-6344	77	20	we	we	PRON
ejpam-6344	77	21	obtain	obtain	VERB
ejpam-6344	77	22	:	:	PUNCT
ejpam-6344	78	1	αs11	αs11	PROPN
ejpam-6344	78	2	=	=	SYM
ejpam-6344	78	3	eiα1	eiα1	PROPN
ejpam-6344	78	4	,	,	PUNCT
ejpam-6344	78	5	αs24	αs24	PROPN
ejpam-6344	78	6	=	=	SYM
ejpam-6344	78	7	eiα2	eiα2	PROPN
ejpam-6344	78	8	,	,	PUNCT
ejpam-6344	79	1	αs37	αs37	PROPN
ejpam-6344	79	2	=	=	SYM
ejpam-6344	79	3	eiα3	eiα3	PROPN
ejpam-6344	79	4	corresponding	correspond	VERB
ejpam-6344	79	5	to	to	ADP
ejpam-6344	79	6	s	s	PRON
ejpam-6344	79	7	=	=	SYM
ejpam-6344	79	8	1	1	NUM
ejpam-6344	79	9	,	,	PUNCT
ejpam-6344	79	10	s	s	PART
ejpam-6344	79	11	=	=	SYM
ejpam-6344	79	12	2	2	NUM
ejpam-6344	79	13	,	,	PUNCT
ejpam-6344	79	14	and	and	CCONJ
ejpam-6344	79	15	s	s	X
ejpam-6344	79	16	=	=	SYM
ejpam-6344	79	17	3	3	NUM
ejpam-6344	79	18	,	,	PUNCT
ejpam-6344	79	19	respectively	respectively	ADV
ejpam-6344	79	20	.	.	PUNCT
ejpam-6344	80	1	similarly	similarly	ADV
ejpam-6344	80	2	,	,	PUNCT
ejpam-6344	80	3	fixing	fix	VERB
ejpam-6344	80	4	t	t	PROPN
ejpam-6344	80	5	=	=	SYM
ejpam-6344	80	6	2	2	NUM
ejpam-6344	80	7	and	and	CCONJ
ejpam-6344	80	8	computing	compute	VERB
ejpam-6344	80	9	the	the	DET
ejpam-6344	80	10	indices	index	NOUN
ejpam-6344	80	11	for	for	ADP
ejpam-6344	80	12	s	s	NOUN
ejpam-6344	80	13	=	=	SYM
ejpam-6344	80	14	1	1	NUM
ejpam-6344	80	15	,	,	PUNCT
ejpam-6344	80	16	2	2	NUM
ejpam-6344	80	17	,	,	PUNCT
ejpam-6344	80	18	3	3	NUM
ejpam-6344	80	19	,	,	PUNCT
ejpam-6344	80	20	we	we	PRON
ejpam-6344	80	21	get	get	VERB
ejpam-6344	80	22	:	:	PUNCT
ejpam-6344	80	23	αs42	αs42	PROPN
ejpam-6344	80	24	=	=	PUNCT
ejpam-6344	80	25	eiα4	eiα4	PROPN
ejpam-6344	80	26	,	,	PUNCT
ejpam-6344	80	27	αs55	αs55	PROPN
ejpam-6344	80	28	=	=	SYM
ejpam-6344	80	29	eiα5	eiα5	PROPN
ejpam-6344	80	30	,	,	PUNCT
ejpam-6344	80	31	αs68	αs68	PROPN
ejpam-6344	80	32	=	=	SYM
ejpam-6344	80	33	eiα6	eiα6	PROPN
ejpam-6344	80	34	.	.	PUNCT
ejpam-6344	81	1	finally	finally	ADV
ejpam-6344	81	2	,	,	PUNCT
ejpam-6344	81	3	if	if	SCONJ
ejpam-6344	81	4	we	we	PRON
ejpam-6344	81	5	fix	fix	VERB
ejpam-6344	81	6	t	t	NOUN
ejpam-6344	81	7	=	=	SYM
ejpam-6344	81	8	3	3	NUM
ejpam-6344	81	9	and	and	CCONJ
ejpam-6344	81	10	compute	compute	VERB
ejpam-6344	81	11	the	the	DET
ejpam-6344	81	12	indices	index	NOUN
ejpam-6344	81	13	for	for	ADP
ejpam-6344	81	14	s	s	NOUN
ejpam-6344	81	15	=	=	SYM
ejpam-6344	81	16	1	1	NUM
ejpam-6344	81	17	,	,	PUNCT
ejpam-6344	81	18	2	2	NUM
ejpam-6344	81	19	,	,	PUNCT
ejpam-6344	81	20	3	3	NUM
ejpam-6344	81	21	,	,	PUNCT
ejpam-6344	81	22	we	we	PRON
ejpam-6344	81	23	have	have	VERB
ejpam-6344	81	24	:	:	PUNCT
ejpam-6344	81	25	αs73	αs73	PROPN
ejpam-6344	81	26	=	=	SYM
ejpam-6344	81	27	eiα7	eiα7	PROPN
ejpam-6344	81	28	,	,	PUNCT
ejpam-6344	81	29	αs86	αs86	PROPN
ejpam-6344	81	30	=	=	SYM
ejpam-6344	81	31	eiα8	eiα8	PROPN
ejpam-6344	81	32	,	,	PUNCT
ejpam-6344	81	33	αs99	αs99	PROPN
ejpam-6344	81	34	=	=	SYM
ejpam-6344	81	35	eiα9	eiα9	PROPN
ejpam-6344	81	36	.	.	PUNCT
ejpam-6344	82	1	the	the	DET
ejpam-6344	82	2	calculations	calculation	NOUN
ejpam-6344	82	3	for	for	ADP
ejpam-6344	82	4	d	d	NOUN
ejpam-6344	82	5	=	=	SYM
ejpam-6344	82	6	2	2	NUM
ejpam-6344	82	7	are	be	AUX
ejpam-6344	82	8	similar	similar	ADJ
ejpam-6344	82	9	and	and	CCONJ
ejpam-6344	82	10	even	even	ADV
ejpam-6344	82	11	simpler	simple	ADJ
ejpam-6344	82	12	.	.	PUNCT
ejpam-6344	83	1	note	note	VERB
ejpam-6344	83	2	that	that	SCONJ
ejpam-6344	83	3	the	the	DET
ejpam-6344	83	4	condition	condition	NOUN
ejpam-6344	83	5	t	t	NOUN
ejpam-6344	83	6	=	=	SYM
ejpam-6344	83	7	s	s	PART
ejpam-6344	83	8	corresponds	correspond	VERB
ejpam-6344	83	9	to	to	ADP
ejpam-6344	83	10	the	the	DET
ejpam-6344	83	11	diagonal	diagonal	ADJ
ejpam-6344	83	12	(	(	PUNCT
ejpam-6344	83	13	nonzero	nonzero	NUM
ejpam-6344	83	14	)	)	PUNCT
ejpam-6344	83	15	entries	entry	NOUN
ejpam-6344	83	16	αsii	αsii	NOUN
ejpam-6344	83	17	,	,	PUNCT
ejpam-6344	83	18	where	where	SCONJ
ejpam-6344	83	19	i	i	PRON
ejpam-6344	83	20	=	=	PUNCT
ejpam-6344	83	21	j	j	PROPN
ejpam-6344	84	1	=	=	PRON
ejpam-6344	84	2	(	(	PUNCT
ejpam-6344	84	3	t	t	PROPN
ejpam-6344	84	4	−	−	NUM
ejpam-6344	84	5	1)d	1)d	NUM
ejpam-6344	84	6	+	+	SYM
ejpam-6344	84	7	t	t	PROPN
ejpam-6344	84	8	,	,	PUNCT
ejpam-6344	84	9	1	1	NUM
ejpam-6344	84	10	≤	≤	NUM
ejpam-6344	84	11	t	t	PROPN
ejpam-6344	84	12	≤	≤	PROPN
ejpam-6344	84	13	d.	d.	PROPN
ejpam-6344	84	14	in	in	ADP
ejpam-6344	84	15	the	the	DET
ejpam-6344	84	16	case	case	NOUN
ejpam-6344	84	17	of	of	ADP
ejpam-6344	84	18	d	d	PROPN
ejpam-6344	84	19	=	=	SYM
ejpam-6344	84	20	3	3	NUM
ejpam-6344	84	21	,	,	PUNCT
ejpam-6344	84	22	these	these	DET
ejpam-6344	84	23	entries	entry	NOUN
ejpam-6344	84	24	are	be	AUX
ejpam-6344	84	25	αs11	αs11	PROPN
ejpam-6344	84	26	,	,	PUNCT
ejpam-6344	84	27	αs55	αs55	PROPN
ejpam-6344	84	28	,	,	PUNCT
ejpam-6344	84	29	and	and	CCONJ
ejpam-6344	84	30	αs99	αs99	PROPN
ejpam-6344	84	31	,	,	PUNCT
ejpam-6344	84	32	whereas	whereas	SCONJ
ejpam-6344	84	33	for	for	ADP
ejpam-6344	84	34	d	d	PROPN
ejpam-6344	84	35	=	=	SYM
ejpam-6344	84	36	2	2	NUM
ejpam-6344	84	37	,	,	PUNCT
ejpam-6344	84	38	they	they	PRON
ejpam-6344	84	39	are	be	AUX
ejpam-6344	84	40	only	only	ADV
ejpam-6344	84	41	αs11	αs11	PROPN
ejpam-6344	84	42	and	and	CCONJ
ejpam-6344	84	43	αs44	αs44	PROPN
ejpam-6344	84	44	.	.	PUNCT
ejpam-6344	85	1	remark	remark	NOUN
ejpam-6344	85	2	3	3	NUM
ejpam-6344	85	3	.	.	PUNCT
ejpam-6344	86	1	for	for	ADP
ejpam-6344	86	2	clearer	clear	ADJ
ejpam-6344	86	3	illustration	illustration	NOUN
ejpam-6344	86	4	,	,	PUNCT
ejpam-6344	86	5	let	let	VERB
ejpam-6344	86	6	us	we	PRON
ejpam-6344	86	7	write	write	VERB
ejpam-6344	86	8	the	the	DET
ejpam-6344	86	9	action	action	NOUN
ejpam-6344	86	10	of	of	ADP
ejpam-6344	86	11	αswap	αswap	NOUN
ejpam-6344	86	12	(	(	PUNCT
ejpam-6344	86	13	denoted	denote	VERB
ejpam-6344	86	14	by	by	ADP
ejpam-6344	86	15	αs	αs	INTJ
ejpam-6344	86	16	for	for	ADP
ejpam-6344	86	17	short	short	ADJ
ejpam-6344	86	18	)	)	PUNCT
ejpam-6344	86	19	on	on	ADP
ejpam-6344	86	20	the	the	DET
ejpam-6344	86	21	computational	computational	ADJ
ejpam-6344	86	22	basis	basis	NOUN
ejpam-6344	86	23	for	for	ADP
ejpam-6344	86	24	2	2	NUM
ejpam-6344	86	25	-	-	PUNCT
ejpam-6344	86	26	qubit	qubit	NOUN
ejpam-6344	86	27	and	and	CCONJ
ejpam-6344	86	28	2	2	NUM
ejpam-6344	86	29	-	-	PUNCT
ejpam-6344	86	30	qutrit	qutrit	NOUN
ejpam-6344	86	31	gates	gate	NOUN
ejpam-6344	86	32	.	.	PUNCT
ejpam-6344	87	1	for	for	ADP
ejpam-6344	87	2	d	d	PROPN
ejpam-6344	87	3	=	=	SYM
ejpam-6344	87	4	2	2	NUM
ejpam-6344	87	5	,	,	PUNCT
ejpam-6344	87	6	the	the	DET
ejpam-6344	87	7	action	action	NOUN
ejpam-6344	87	8	of	of	ADP
ejpam-6344	87	9	αs	αs	INTJ
ejpam-6344	87	10	on	on	ADP
ejpam-6344	87	11	the	the	DET
ejpam-6344	87	12	computational	computational	ADJ
ejpam-6344	87	13	basis	basis	NOUN
ejpam-6344	87	14	states	state	NOUN
ejpam-6344	87	15	is	be	AUX
ejpam-6344	87	16	given	give	VERB
ejpam-6344	87	17	by	by	ADP
ejpam-6344	87	18	:	:	PUNCT
ejpam-6344	87	19	αs(|00⟩	αs(|00⟩	NOUN
ejpam-6344	87	20	)	)	PUNCT
ejpam-6344	88	1	=	=	SYM
ejpam-6344	88	2	eiα1	eiα1	PROPN
ejpam-6344	88	3	|00⟩	|00⟩	NOUN
ejpam-6344	88	4	,	,	PUNCT
ejpam-6344	88	5	αs(|01⟩	αs(|01⟩	NOUN
ejpam-6344	88	6	)	)	PUNCT
ejpam-6344	88	7	=	=	SYM
ejpam-6344	88	8	eiα2	eiα2	NOUN
ejpam-6344	88	9	|10⟩	|10⟩	NOUN
ejpam-6344	88	10	,	,	PUNCT
ejpam-6344	88	11	αs(|10⟩	αs(|10⟩	NOUN
ejpam-6344	88	12	)	)	PUNCT
ejpam-6344	89	1	=	=	SYM
ejpam-6344	89	2	eiα3	eiα3	PROPN
ejpam-6344	89	3	|01⟩	|01⟩	ADV
ejpam-6344	89	4	,	,	PUNCT
ejpam-6344	89	5	αs(|11⟩	αs(|11⟩	NOUN
ejpam-6344	89	6	)	)	PUNCT
ejpam-6344	89	7	=	=	SYM
ejpam-6344	89	8	eiα4	eiα4	PROPN
ejpam-6344	89	9	|11⟩.	|11⟩.	PROPN
ejpam-6344	89	10	similarly	similarly	ADV
ejpam-6344	89	11	,	,	PUNCT
ejpam-6344	89	12	for	for	ADP
ejpam-6344	89	13	d	d	PROPN
ejpam-6344	89	14	=	=	SYM
ejpam-6344	89	15	3	3	NUM
ejpam-6344	89	16	,	,	PUNCT
ejpam-6344	89	17	the	the	DET
ejpam-6344	89	18	action	action	NOUN
ejpam-6344	89	19	of	of	ADP
ejpam-6344	89	20	αs	αs	INTJ
ejpam-6344	89	21	on	on	ADP
ejpam-6344	89	22	the	the	DET
ejpam-6344	89	23	computational	computational	ADJ
ejpam-6344	89	24	basis	basis	NOUN
ejpam-6344	89	25	states	state	NOUN
ejpam-6344	89	26	is	be	AUX
ejpam-6344	89	27	:	:	PUNCT
ejpam-6344	89	28	αs(|00⟩	αs(|00⟩	NOUN
ejpam-6344	89	29	)	)	PUNCT
ejpam-6344	90	1	=	=	SYM
ejpam-6344	90	2	eiα1	eiα1	PROPN
ejpam-6344	90	3	|00⟩	|00⟩	NOUN
ejpam-6344	90	4	,	,	PUNCT
ejpam-6344	90	5	αs(|01⟩	αs(|01⟩	NOUN
ejpam-6344	90	6	)	)	PUNCT
ejpam-6344	90	7	=	=	SYM
ejpam-6344	90	8	eiα2	eiα2	NOUN
ejpam-6344	90	9	|10⟩	|10⟩	ADJ
ejpam-6344	90	10	,	,	PUNCT
ejpam-6344	90	11	αs(|02⟩	αs(|02⟩	ADV
ejpam-6344	90	12	)	)	PUNCT
ejpam-6344	91	1	=	=	SYM
ejpam-6344	91	2	eiα3	eiα3	PROPN
ejpam-6344	91	3	|20⟩	|20⟩	NOUN
ejpam-6344	91	4	,	,	PUNCT
ejpam-6344	91	5	αs(|10⟩	αs(|10⟩	NOUN
ejpam-6344	91	6	)	)	PUNCT
ejpam-6344	91	7	=	=	SYM
ejpam-6344	91	8	eiα4	eiα4	PROPN
ejpam-6344	91	9	|01⟩	|01⟩	VERB
ejpam-6344	91	10	,	,	PUNCT
ejpam-6344	91	11	αs(|11⟩	αs(|11⟩	VERB
ejpam-6344	91	12	)	)	PUNCT
ejpam-6344	91	13	=	=	SYM
ejpam-6344	91	14	eiα5	eiα5	PROPN
ejpam-6344	91	15	|11⟩	|11⟩	NOUN
ejpam-6344	91	16	,	,	PUNCT
ejpam-6344	91	17	αs(|12⟩	αs(|12⟩	ADJ
ejpam-6344	91	18	)	)	PUNCT
ejpam-6344	91	19	=	=	SYM
ejpam-6344	91	20	eiα6	eiα6	PROPN
ejpam-6344	91	21	|21⟩	|21⟩	VERB
ejpam-6344	91	22	,	,	PUNCT
ejpam-6344	91	23	αs(|20⟩	αs(|20⟩	ADJ
ejpam-6344	91	24	)	)	PUNCT
ejpam-6344	92	1	=	=	SYM
ejpam-6344	92	2	eiα7	eiα7	PROPN
ejpam-6344	92	3	|02⟩	|02⟩	ADV
ejpam-6344	92	4	,	,	PUNCT
ejpam-6344	92	5	αs(|21⟩	αs(|21⟩	VERB
ejpam-6344	92	6	)	)	PUNCT
ejpam-6344	93	1	=	=	SYM
ejpam-6344	93	2	eiα8	eiα8	PROPN
ejpam-6344	93	3	|12⟩	|12⟩	NOUN
ejpam-6344	93	4	,	,	PUNCT
ejpam-6344	93	5	αs(|22⟩	αs(|22⟩	ADV
ejpam-6344	93	6	)	)	PUNCT
ejpam-6344	93	7	=	=	SYM
ejpam-6344	93	8	eiα9	eiα9	VERB
ejpam-6344	93	9	|22⟩.	|22⟩.	NOUN
ejpam-6344	93	10	a.	a.	NOUN
ejpam-6344	93	11	pourkia	pourkia	NOUN
ejpam-6344	93	12	/	/	SYM
ejpam-6344	93	13	eur	eur	PROPN
ejpam-6344	93	14	.	.	PUNCT
ejpam-6344	94	1	j.	j.	PROPN
ejpam-6344	94	2	pure	pure	PROPN
ejpam-6344	94	3	appl	appl	PROPN
ejpam-6344	94	4	.	.	PROPN
ejpam-6344	94	5	math	math	PROPN
ejpam-6344	94	6	,	,	PUNCT
ejpam-6344	94	7	18	18	NUM
ejpam-6344	94	8	(	(	PUNCT
ejpam-6344	94	9	3	3	NUM
ejpam-6344	94	10	)	)	PUNCT
ejpam-6344	94	11	(	(	PUNCT
ejpam-6344	94	12	2025	2025	NUM
ejpam-6344	94	13	)	)	PUNCT
ejpam-6344	94	14	,	,	PUNCT
ejpam-6344	94	15	6344	6344	NUM
ejpam-6344	94	16	6	6	NUM
ejpam-6344	94	17	of	of	ADP
ejpam-6344	94	18	14	14	NUM
ejpam-6344	94	19	now	now	ADV
ejpam-6344	94	20	let	let	VERB
ejpam-6344	94	21	us	we	PRON
ejpam-6344	94	22	proceed	proceed	VERB
ejpam-6344	94	23	to	to	ADP
ejpam-6344	94	24	some	some	DET
ejpam-6344	94	25	examples	example	NOUN
ejpam-6344	94	26	.	.	PUNCT
ejpam-6344	95	1	the	the	DET
ejpam-6344	95	2	xswap	xswap	PROPN
ejpam-6344	95	3	gate	gate	PROPN
ejpam-6344	95	4	introduced	introduce	VERB
ejpam-6344	95	5	in	in	ADP
ejpam-6344	95	6	[	[	X
ejpam-6344	95	7	15	15	NUM
ejpam-6344	95	8	]	]	X
ejpam-6344	95	9	is	be	AUX
ejpam-6344	95	10	,	,	PUNCT
ejpam-6344	95	11	in	in	ADP
ejpam-6344	95	12	fact	fact	NOUN
ejpam-6344	95	13	,	,	PUNCT
ejpam-6344	95	14	a	a	DET
ejpam-6344	95	15	special	special	ADJ
ejpam-6344	95	16	case	case	NOUN
ejpam-6344	95	17	of	of	ADP
ejpam-6344	95	18	the	the	DET
ejpam-6344	95	19	above	above	ADJ
ejpam-6344	95	20	definition	definition	NOUN
ejpam-6344	95	21	,	,	PUNCT
ejpam-6344	95	22	as	as	SCONJ
ejpam-6344	95	23	illustrated	illustrate	VERB
ejpam-6344	95	24	in	in	ADP
ejpam-6344	95	25	the	the	DET
ejpam-6344	95	26	following	follow	VERB
ejpam-6344	95	27	example	example	NOUN
ejpam-6344	95	28	.	.	PUNCT
ejpam-6344	96	1	example	example	NOUN
ejpam-6344	97	1	1	1	NUM
ejpam-6344	97	2	.	.	PUNCT
ejpam-6344	97	3	let	let	VERB
ejpam-6344	97	4	αi	αi	PRON
ejpam-6344	97	5	=	=	PUNCT
ejpam-6344	97	6	0	0	PUNCT
ejpam-6344	97	7	for	for	ADP
ejpam-6344	97	8	the	the	DET
ejpam-6344	97	9	diagonal	diagonal	ADJ
ejpam-6344	97	10	(	(	PUNCT
ejpam-6344	97	11	nonzero	nonzero	NOUN
ejpam-6344	97	12	)	)	PUNCT
ejpam-6344	97	13	entries	entry	NOUN
ejpam-6344	97	14	,	,	PUNCT
ejpam-6344	97	15	i.e.	i.e.	X
ejpam-6344	97	16	,	,	PUNCT
ejpam-6344	97	17	for	for	ADP
ejpam-6344	97	18	i	i	PRON
ejpam-6344	97	19	=	=	SYM
ejpam-6344	97	20	j	j	PROPN
ejpam-6344	98	1	=	=	SYM
ejpam-6344	98	2	(	(	PUNCT
ejpam-6344	98	3	t	t	PROPN
ejpam-6344	98	4	−	−	NUM
ejpam-6344	98	5	1)d	1)d	NUM
ejpam-6344	98	6	+	+	X
ejpam-6344	98	7	t	t	NOUN
ejpam-6344	98	8	with	with	ADP
ejpam-6344	98	9	1	1	NUM
ejpam-6344	98	10	≤	≤	NUM
ejpam-6344	98	11	t	t	NOUN
ejpam-6344	98	12	≤	≤	NUM
ejpam-6344	98	13	d	d	PROPN
ejpam-6344	98	14	,	,	PUNCT
ejpam-6344	98	15	and	and	CCONJ
ejpam-6344	98	16	let	let	VERB
ejpam-6344	98	17	αi	αi	PRON
ejpam-6344	98	18	=	=	PUNCT
ejpam-6344	98	19	α	α	PROPN
ejpam-6344	98	20	otherwise	otherwise	ADV
ejpam-6344	98	21	.	.	PUNCT
ejpam-6344	99	1	if	if	SCONJ
ejpam-6344	99	2	we	we	PRON
ejpam-6344	99	3	set	set	VERB
ejpam-6344	99	4	x	x	NOUN
ejpam-6344	99	5	=	=	SYM
ejpam-6344	99	6	eiα	eiα	PROPN
ejpam-6344	99	7	,	,	PUNCT
ejpam-6344	99	8	then	then	ADV
ejpam-6344	99	9	this	this	DET
ejpam-6344	99	10	gate	gate	NOUN
ejpam-6344	99	11	coincides	coincide	VERB
ejpam-6344	99	12	with	with	ADP
ejpam-6344	99	13	the	the	DET
ejpam-6344	99	14	xswap	xswap	NOUN
ejpam-6344	99	15	from	from	ADP
ejpam-6344	99	16	[	[	X
ejpam-6344	99	17	15	15	NUM
ejpam-6344	99	18	]	]	PUNCT
ejpam-6344	99	19	.	.	PUNCT
ejpam-6344	100	1	the	the	DET
ejpam-6344	100	2	xswap	xswap	PROPN
ejpam-6344	100	3	,	,	PUNCT
ejpam-6344	100	4	in	in	ADP
ejpam-6344	100	5	turn	turn	NOUN
ejpam-6344	100	6	,	,	PUNCT
ejpam-6344	100	7	includes	include	VERB
ejpam-6344	100	8	the	the	DET
ejpam-6344	100	9	usual	usual	ADJ
ejpam-6344	100	10	swap	swap	NOUN
ejpam-6344	100	11	for	for	ADP
ejpam-6344	100	12	x	x	SYM
ejpam-6344	100	13	=	=	SYM
ejpam-6344	100	14	1	1	NUM
ejpam-6344	100	15	(	(	PUNCT
ejpam-6344	100	16	i.e.	i.e.	X
ejpam-6344	100	17	,	,	PUNCT
ejpam-6344	100	18	α	α	NOUN
ejpam-6344	100	19	=	=	NOUN
ejpam-6344	100	20	0	0	NUM
ejpam-6344	100	21	)	)	PUNCT
ejpam-6344	100	22	and	and	CCONJ
ejpam-6344	100	23	the	the	DET
ejpam-6344	100	24	iswap	iswap	NOUN
ejpam-6344	100	25	for	for	ADP
ejpam-6344	100	26	x	x	X
ejpam-6344	100	27	=	=	SYM
ejpam-6344	100	28	i	i	PRON
ejpam-6344	100	29	(	(	PUNCT
ejpam-6344	100	30	i.e.	i.e.	X
ejpam-6344	100	31	,	,	PUNCT
ejpam-6344	100	32	α	α	PROPN
ejpam-6344	100	33	=	=	SYM
ejpam-6344	100	34	π	π	PROPN
ejpam-6344	100	35	2	2	NUM
ejpam-6344	100	36	)	)	PUNCT
ejpam-6344	100	37	in	in	ADP
ejpam-6344	100	38	all	all	DET
ejpam-6344	100	39	dimensions	dimension	NOUN
ejpam-6344	100	40	.	.	PUNCT
ejpam-6344	101	1	below	below	ADV
ejpam-6344	101	2	,	,	PUNCT
ejpam-6344	101	3	we	we	PRON
ejpam-6344	101	4	illustrate	illustrate	VERB
ejpam-6344	101	5	the	the	DET
ejpam-6344	101	6	xswap	xswap	PROPN
ejpam-6344	101	7	matrices	matrix	NOUN
ejpam-6344	101	8	for	for	ADP
ejpam-6344	101	9	d	d	PROPN
ejpam-6344	101	10	=	=	SYM
ejpam-6344	101	11	2	2	NUM
ejpam-6344	101	12	and	and	CCONJ
ejpam-6344	101	13	d	d	NOUN
ejpam-6344	101	14	=	=	SYM
ejpam-6344	101	15	3	3	X
ejpam-6344	101	16	.	.	PUNCT
ejpam-6344	101	17	xswap	xswap	PUNCT
ejpam-6344	102	1	=	=	PUNCT
ejpam-6344	102	2			ADJ
ejpam-6344	102	3	1	1	NUM
ejpam-6344	102	4	0	0	NUM
ejpam-6344	102	5	0	0	NUM
ejpam-6344	102	6	0	0	NUM
ejpam-6344	102	7	0	0	NUM
ejpam-6344	102	8	0	0	NUM
ejpam-6344	103	1	x	x	SYM
ejpam-6344	103	2	0	0	NUM
ejpam-6344	103	3	0	0	NUM
ejpam-6344	103	4	x	x	SYM
ejpam-6344	103	5	0	0	NUM
ejpam-6344	103	6	0	0	NUM
ejpam-6344	103	7	0	0	NUM
ejpam-6344	103	8	0	0	NUM
ejpam-6344	103	9	0	0	NUM
ejpam-6344	103	10	1	1	NUM
ejpam-6344	103	11			NOUN
ejpam-6344	103	12	,	,	PUNCT
ejpam-6344	103	13	xswap	xswap	NOUN
ejpam-6344	104	1	=	=	PUNCT
ejpam-6344	104	2			VERB
ejpam-6344	104	3	1	1	NUM
ejpam-6344	104	4	0	0	NUM
ejpam-6344	104	5	0	0	NUM
ejpam-6344	104	6	0	0	NUM
ejpam-6344	104	7	0	0	NUM
ejpam-6344	104	8	0	0	NUM
ejpam-6344	104	9	0	0	NUM
ejpam-6344	104	10	0	0	NUM
ejpam-6344	104	11	0	0	NUM
ejpam-6344	104	12	0	0	NUM
ejpam-6344	104	13	0	0	NUM
ejpam-6344	104	14	0	0	NUM
ejpam-6344	105	1	x	x	SYM
ejpam-6344	105	2	0	0	NUM
ejpam-6344	105	3	0	0	NUM
ejpam-6344	105	4	0	0	NUM
ejpam-6344	105	5	0	0	NUM
ejpam-6344	105	6	0	0	NUM
ejpam-6344	105	7	0	0	NUM
ejpam-6344	105	8	0	0	NUM
ejpam-6344	105	9	0	0	NUM
ejpam-6344	105	10	0	0	NUM
ejpam-6344	105	11	0	0	NUM
ejpam-6344	105	12	0	0	NUM
ejpam-6344	105	13	x	x	SYM
ejpam-6344	105	14	0	0	NUM
ejpam-6344	105	15	0	0	NUM
ejpam-6344	105	16	0	0	NUM
ejpam-6344	105	17	x	x	SYM
ejpam-6344	105	18	0	0	NUM
ejpam-6344	105	19	0	0	NUM
ejpam-6344	105	20	0	0	NUM
ejpam-6344	105	21	0	0	NUM
ejpam-6344	105	22	0	0	NUM
ejpam-6344	105	23	0	0	NUM
ejpam-6344	105	24	0	0	NUM
ejpam-6344	105	25	0	0	NUM
ejpam-6344	105	26	0	0	NUM
ejpam-6344	105	27	0	0	NUM
ejpam-6344	105	28	0	0	NUM
ejpam-6344	105	29	1	1	NUM
ejpam-6344	105	30	0	0	NUM
ejpam-6344	105	31	0	0	NUM
ejpam-6344	105	32	0	0	NUM
ejpam-6344	105	33	0	0	NUM
ejpam-6344	105	34	0	0	NUM
ejpam-6344	105	35	0	0	NUM
ejpam-6344	105	36	0	0	NUM
ejpam-6344	105	37	0	0	NUM
ejpam-6344	105	38	0	0	NUM
ejpam-6344	105	39	0	0	NUM
ejpam-6344	105	40	0	0	NUM
ejpam-6344	105	41	x	x	SYM
ejpam-6344	105	42	0	0	NUM
ejpam-6344	105	43	0	0	NUM
ejpam-6344	105	44	0	0	NUM
ejpam-6344	105	45	x	x	SYM
ejpam-6344	105	46	0	0	NUM
ejpam-6344	105	47	0	0	NUM
ejpam-6344	105	48	0	0	NUM
ejpam-6344	105	49	0	0	NUM
ejpam-6344	105	50	0	0	NUM
ejpam-6344	105	51	0	0	NUM
ejpam-6344	105	52	0	0	NUM
ejpam-6344	105	53	0	0	NUM
ejpam-6344	105	54	0	0	NUM
ejpam-6344	105	55	0	0	NUM
ejpam-6344	105	56	0	0	NUM
ejpam-6344	105	57	x	x	SYM
ejpam-6344	105	58	0	0	NUM
ejpam-6344	105	59	0	0	NUM
ejpam-6344	105	60	0	0	NUM
ejpam-6344	105	61	0	0	NUM
ejpam-6344	105	62	0	0	NUM
ejpam-6344	105	63	0	0	NUM
ejpam-6344	105	64	0	0	NUM
ejpam-6344	105	65	0	0	NUM
ejpam-6344	105	66	0	0	NUM
ejpam-6344	105	67	0	0	NUM
ejpam-6344	105	68	0	0	NUM
ejpam-6344	105	69	1	1	NUM
ejpam-6344	105	70			NOUN
ejpam-6344	105	71	.	.	PUNCT
ejpam-6344	106	1	by	by	ADP
ejpam-6344	106	2	choosing	choose	VERB
ejpam-6344	106	3	different	different	ADJ
ejpam-6344	106	4	values	value	NOUN
ejpam-6344	106	5	for	for	ADP
ejpam-6344	106	6	the	the	DET
ejpam-6344	106	7	αi	αi	NOUN
ejpam-6344	106	8	’s	’s	NOUN
ejpam-6344	106	9	,	,	PUNCT
ejpam-6344	106	10	the	the	DET
ejpam-6344	106	11	αswap	αswap	NOUN
ejpam-6344	106	12	generalizes	generalize	VERB
ejpam-6344	106	13	both	both	CCONJ
ejpam-6344	106	14	the	the	DET
ejpam-6344	106	15	swap	swap	NOUN
ejpam-6344	106	16	and	and	CCONJ
ejpam-6344	106	17	iswap	iswap	NOUN
ejpam-6344	106	18	gates	gate	NOUN
ejpam-6344	106	19	beyond	beyond	ADP
ejpam-6344	106	20	the	the	DET
ejpam-6344	106	21	xswap	xswap	PROPN
ejpam-6344	106	22	example	example	NOUN
ejpam-6344	106	23	given	give	VERB
ejpam-6344	106	24	above	above	ADV
ejpam-6344	106	25	.	.	PUNCT
ejpam-6344	107	1	a	a	DET
ejpam-6344	107	2	few	few	ADJ
ejpam-6344	107	3	such	such	ADJ
ejpam-6344	107	4	examples	example	NOUN
ejpam-6344	107	5	follow	follow	VERB
ejpam-6344	107	6	.	.	PUNCT
ejpam-6344	108	1	example	example	NOUN
ejpam-6344	109	1	2	2	NUM
ejpam-6344	109	2	.	.	PUNCT
ejpam-6344	109	3	let	let	VERB
ejpam-6344	109	4	αi	αi	PRON
ejpam-6344	109	5	=	=	PUNCT
ejpam-6344	109	6	(	(	PUNCT
ejpam-6344	109	7	−1	−1	NOUN
ejpam-6344	109	8	)	)	PUNCT
ejpam-6344	109	9	i	i	PRON
ejpam-6344	109	10	2	2	X
ejpam-6344	109	11	(	(	PUNCT
ejpam-6344	109	12	π	π	PROPN
ejpam-6344	109	13	2	2	NUM
ejpam-6344	109	14	)	)	PUNCT
ejpam-6344	109	15	for	for	ADP
ejpam-6344	109	16	even	even	ADV
ejpam-6344	109	17	i	i	PRON
ejpam-6344	109	18	,	,	PUNCT
ejpam-6344	109	19	and	and	CCONJ
ejpam-6344	109	20	let	let	VERB
ejpam-6344	109	21	αi	αi	PRON
ejpam-6344	109	22	=	=	PUNCT
ejpam-6344	110	1	π	π	PROPN
ejpam-6344	110	2	for	for	ADP
ejpam-6344	110	3	odd	odd	ADJ
ejpam-6344	110	4	i.	i.	NOUN
ejpam-6344	110	5	below	below	ADV
ejpam-6344	110	6	,	,	PUNCT
ejpam-6344	110	7	we	we	PRON
ejpam-6344	110	8	illustrate	illustrate	VERB
ejpam-6344	110	9	this	this	DET
ejpam-6344	110	10	particular	particular	ADJ
ejpam-6344	110	11	αswap	αswap	NOUN
ejpam-6344	110	12	for	for	ADP
ejpam-6344	110	13	d	d	PROPN
ejpam-6344	110	14	=	=	SYM
ejpam-6344	110	15	2	2	NUM
ejpam-6344	110	16	and	and	CCONJ
ejpam-6344	110	17	d	d	NOUN
ejpam-6344	110	18	=	=	SYM
ejpam-6344	110	19	3	3	X
ejpam-6344	110	20	.	.	X
ejpam-6344	110	21	αswap	αswap	NOUN
ejpam-6344	110	22	=	=	SYM
ejpam-6344	110	23			NUM
ejpam-6344	110	24	−1	−1	NOUN
ejpam-6344	110	25	0	0	NUM
ejpam-6344	110	26	0	0	NUM
ejpam-6344	110	27	0	0	NUM
ejpam-6344	110	28	0	0	NUM
ejpam-6344	110	29	0	0	NUM
ejpam-6344	111	1	−i	−i	NOUN
ejpam-6344	111	2	0	0	NUM
ejpam-6344	111	3	0	0	NUM
ejpam-6344	111	4	−1	−1	NOUN
ejpam-6344	111	5	0	0	NUM
ejpam-6344	111	6	0	0	NUM
ejpam-6344	111	7	0	0	NUM
ejpam-6344	111	8	0	0	NUM
ejpam-6344	111	9	0	0	NUM
ejpam-6344	112	1	i	i	PRON
ejpam-6344	112	2			NOUN
ejpam-6344	112	3	,	,	PUNCT
ejpam-6344	112	4	αswap	αswap	NOUN
ejpam-6344	112	5	=	=	PUNCT
ejpam-6344	112	6			VERB
ejpam-6344	112	7	−1	−1	NOUN
ejpam-6344	112	8	0	0	NUM
ejpam-6344	112	9	0	0	NUM
ejpam-6344	112	10	0	0	NUM
ejpam-6344	112	11	0	0	NUM
ejpam-6344	112	12	0	0	NUM
ejpam-6344	112	13	0	0	NUM
ejpam-6344	112	14	0	0	NUM
ejpam-6344	112	15	0	0	NUM
ejpam-6344	112	16	0	0	NUM
ejpam-6344	112	17	0	0	NUM
ejpam-6344	112	18	0	0	NUM
ejpam-6344	113	1	−i	−i	NOUN
ejpam-6344	113	2	0	0	NUM
ejpam-6344	113	3	0	0	NUM
ejpam-6344	113	4	0	0	NUM
ejpam-6344	113	5	0	0	NUM
ejpam-6344	113	6	0	0	NUM
ejpam-6344	113	7	0	0	NUM
ejpam-6344	113	8	0	0	NUM
ejpam-6344	113	9	0	0	NUM
ejpam-6344	113	10	0	0	NUM
ejpam-6344	113	11	0	0	NUM
ejpam-6344	113	12	0	0	NUM
ejpam-6344	113	13	−1	−1	NOUN
ejpam-6344	113	14	0	0	NUM
ejpam-6344	113	15	0	0	NUM
ejpam-6344	113	16	0	0	PUNCT
ejpam-6344	114	1	i	i	NOUN
ejpam-6344	114	2	0	0	NUM
ejpam-6344	114	3	0	0	NUM
ejpam-6344	114	4	0	0	NUM
ejpam-6344	114	5	0	0	NUM
ejpam-6344	114	6	0	0	NUM
ejpam-6344	114	7	0	0	NUM
ejpam-6344	114	8	0	0	NUM
ejpam-6344	114	9	0	0	NUM
ejpam-6344	114	10	0	0	NUM
ejpam-6344	114	11	0	0	NUM
ejpam-6344	114	12	0	0	NUM
ejpam-6344	114	13	−1	−1	NOUN
ejpam-6344	114	14	0	0	NUM
ejpam-6344	114	15	0	0	NUM
ejpam-6344	114	16	0	0	NUM
ejpam-6344	114	17	0	0	NUM
ejpam-6344	114	18	0	0	NUM
ejpam-6344	114	19	0	0	NUM
ejpam-6344	114	20	0	0	NUM
ejpam-6344	114	21	0	0	NUM
ejpam-6344	114	22	0	0	NUM
ejpam-6344	114	23	0	0	NUM
ejpam-6344	114	24	0	0	NUM
ejpam-6344	115	1	−i	−i	NOUN
ejpam-6344	115	2	0	0	NUM
ejpam-6344	115	3	0	0	NUM
ejpam-6344	115	4	0	0	NUM
ejpam-6344	115	5	−1	−1	NOUN
ejpam-6344	115	6	0	0	NUM
ejpam-6344	115	7	0	0	NUM
ejpam-6344	115	8	0	0	NUM
ejpam-6344	115	9	0	0	NUM
ejpam-6344	115	10	0	0	NUM
ejpam-6344	115	11	0	0	NUM
ejpam-6344	115	12	0	0	NUM
ejpam-6344	115	13	0	0	NUM
ejpam-6344	115	14	0	0	NUM
ejpam-6344	115	15	0	0	NUM
ejpam-6344	115	16	0	0	NUM
ejpam-6344	116	1	i	i	NOUN
ejpam-6344	116	2	0	0	NUM
ejpam-6344	116	3	0	0	NUM
ejpam-6344	116	4	0	0	NUM
ejpam-6344	116	5	0	0	NUM
ejpam-6344	116	6	0	0	NUM
ejpam-6344	116	7	0	0	NUM
ejpam-6344	116	8	0	0	NUM
ejpam-6344	116	9	0	0	NUM
ejpam-6344	116	10	0	0	NUM
ejpam-6344	116	11	0	0	NUM
ejpam-6344	116	12	0	0	NUM
ejpam-6344	116	13	−1	−1	NOUN
ejpam-6344	116	14			PROPN
ejpam-6344	116	15	example	example	NOUN
ejpam-6344	116	16	3	3	X
ejpam-6344	116	17	.	.	PUNCT
ejpam-6344	117	1	let	let	VERB
ejpam-6344	117	2	αi	αi	PRON
ejpam-6344	117	3	=	=	PUNCT
ejpam-6344	118	1	π	π	PROPN
ejpam-6344	118	2	4	4	NUM
ejpam-6344	118	3	for	for	ADP
ejpam-6344	118	4	diagonal	diagonal	ADJ
ejpam-6344	118	5	(	(	PUNCT
ejpam-6344	118	6	nonzero	nonzero	NOUN
ejpam-6344	118	7	)	)	PUNCT
ejpam-6344	118	8	entries	entry	NOUN
ejpam-6344	118	9	,	,	PUNCT
ejpam-6344	118	10	i.e.	i.e.	X
ejpam-6344	118	11	,	,	PUNCT
ejpam-6344	118	12	for	for	ADP
ejpam-6344	118	13	i	i	PRON
ejpam-6344	118	14	=	=	SYM
ejpam-6344	118	15	j	j	PROPN
ejpam-6344	118	16	=	=	SYM
ejpam-6344	118	17	(	(	PUNCT
ejpam-6344	118	18	t−	t−	PROPN
ejpam-6344	118	19	1)d+	1)d+	NUM
ejpam-6344	118	20	t	t	NOUN
ejpam-6344	118	21	,	,	PUNCT
ejpam-6344	118	22	and	and	CCONJ
ejpam-6344	118	23	let	let	VERB
ejpam-6344	118	24	αi	αi	PRON
ejpam-6344	118	25	=	=	PUNCT
ejpam-6344	119	1	π	π	PROPN
ejpam-6344	119	2	3	3	NUM
ejpam-6344	119	3	otherwise	otherwise	ADV
ejpam-6344	119	4	.	.	PUNCT
ejpam-6344	120	1	we	we	PRON
ejpam-6344	120	2	illustrate	illustrate	VERB
ejpam-6344	120	3	this	this	DET
ejpam-6344	120	4	αswap	αswap	NOUN
ejpam-6344	120	5	for	for	ADP
ejpam-6344	120	6	d	d	PROPN
ejpam-6344	120	7	=	=	SYM
ejpam-6344	120	8	2	2	NUM
ejpam-6344	120	9	and	and	CCONJ
ejpam-6344	120	10	d	d	NOUN
ejpam-6344	120	11	=	=	SYM
ejpam-6344	120	12	3	3	X
ejpam-6344	120	13	.	.	X
ejpam-6344	120	14	αswap	αswap	NOUN
ejpam-6344	120	15	=	=	NOUN
ejpam-6344	120	16			NOUN
ejpam-6344	120	17	√	√	ADV
ejpam-6344	120	18	2	2	NUM
ejpam-6344	120	19	2	2	NUM
ejpam-6344	120	20	(	(	PUNCT
ejpam-6344	120	21	1	1	NUM
ejpam-6344	120	22	+	+	CCONJ
ejpam-6344	120	23	i	i	NOUN
ejpam-6344	120	24	)	)	PUNCT
ejpam-6344	120	25	0	0	NUM
ejpam-6344	120	26	0	0	NUM
ejpam-6344	120	27	0	0	NUM
ejpam-6344	120	28	0	0	NUM
ejpam-6344	120	29	0	0	NUM
ejpam-6344	120	30	1	1	NUM
ejpam-6344	120	31	2(1	2(1	NUM
ejpam-6344	120	32	+	+	CCONJ
ejpam-6344	120	33	√	√	NUM
ejpam-6344	120	34	3	3	NUM
ejpam-6344	120	35	i	i	NOUN
ejpam-6344	120	36	)	)	PUNCT
ejpam-6344	120	37	0	0	NUM
ejpam-6344	121	1	0	0	NUM
ejpam-6344	121	2	1	1	NUM
ejpam-6344	121	3	2(1	2(1	NUM
ejpam-6344	121	4	+	+	CCONJ
ejpam-6344	121	5	√	√	NUM
ejpam-6344	121	6	3	3	NUM
ejpam-6344	121	7	i	i	NOUN
ejpam-6344	121	8	)	)	PUNCT
ejpam-6344	121	9	0	0	NUM
ejpam-6344	122	1	0	0	NUM
ejpam-6344	122	2	0	0	NUM
ejpam-6344	122	3	0	0	NUM
ejpam-6344	122	4	0	0	NUM
ejpam-6344	122	5	√	√	NUM
ejpam-6344	122	6	2	2	NUM
ejpam-6344	122	7	2	2	NUM
ejpam-6344	122	8	(	(	PUNCT
ejpam-6344	122	9	1	1	NUM
ejpam-6344	122	10	+	+	CCONJ
ejpam-6344	122	11	i	i	NOUN
ejpam-6344	122	12	)	)	PUNCT
ejpam-6344	122	13			VERB
ejpam-6344	122	14	a.	a.	NOUN
ejpam-6344	122	15	pourkia	pourkia	NOUN
ejpam-6344	122	16	/	/	SYM
ejpam-6344	122	17	eur	eur	PROPN
ejpam-6344	122	18	.	.	PUNCT
ejpam-6344	123	1	j.	j.	PROPN
ejpam-6344	123	2	pure	pure	PROPN
ejpam-6344	123	3	appl	appl	PROPN
ejpam-6344	123	4	.	.	PROPN
ejpam-6344	123	5	math	math	PROPN
ejpam-6344	123	6	,	,	PUNCT
ejpam-6344	123	7	18	18	NUM
ejpam-6344	123	8	(	(	PUNCT
ejpam-6344	123	9	3	3	NUM
ejpam-6344	123	10	)	)	PUNCT
ejpam-6344	123	11	(	(	PUNCT
ejpam-6344	123	12	2025	2025	NUM
ejpam-6344	123	13	)	)	PUNCT
ejpam-6344	123	14	,	,	PUNCT
ejpam-6344	123	15	6344	6344	NUM
ejpam-6344	123	16	7	7	NUM
ejpam-6344	123	17	of	of	ADP
ejpam-6344	123	18	14	14	NUM
ejpam-6344	123	19	αswap	αswap	NOUN
ejpam-6344	123	20	=	=	PUNCT
ejpam-6344	123	21			VERB
ejpam-6344	123	22	√	√	NUM
ejpam-6344	123	23	2	2	NUM
ejpam-6344	123	24	2	2	NUM
ejpam-6344	123	25	(	(	PUNCT
ejpam-6344	123	26	1	1	NUM
ejpam-6344	123	27	+	+	CCONJ
ejpam-6344	123	28	i	i	NOUN
ejpam-6344	123	29	)	)	PUNCT
ejpam-6344	123	30	0	0	NUM
ejpam-6344	124	1	0	0	NUM
ejpam-6344	124	2	0	0	NUM
ejpam-6344	124	3	0	0	NUM
ejpam-6344	124	4	0	0	NUM
ejpam-6344	124	5	0	0	NUM
ejpam-6344	124	6	0	0	NUM
ejpam-6344	124	7	0	0	NUM
ejpam-6344	124	8	0	0	NUM
ejpam-6344	124	9	0	0	NUM
ejpam-6344	124	10	0	0	NUM
ejpam-6344	124	11	1	1	NUM
ejpam-6344	124	12	2	2	NUM
ejpam-6344	124	13	(	(	PUNCT
ejpam-6344	124	14	1	1	NUM
ejpam-6344	124	15	+	+	CCONJ
ejpam-6344	124	16	√	√	NUM
ejpam-6344	124	17	3	3	NUM
ejpam-6344	124	18	i	i	NOUN
ejpam-6344	124	19	)	)	PUNCT
ejpam-6344	124	20	0	0	NUM
ejpam-6344	124	21	0	0	NUM
ejpam-6344	124	22	0	0	NUM
ejpam-6344	124	23	0	0	NUM
ejpam-6344	124	24	0	0	NUM
ejpam-6344	124	25	0	0	NUM
ejpam-6344	124	26	0	0	NUM
ejpam-6344	124	27	0	0	NUM
ejpam-6344	124	28	0	0	NUM
ejpam-6344	124	29	0	0	NUM
ejpam-6344	124	30	0	0	NUM
ejpam-6344	124	31	1	1	NUM
ejpam-6344	124	32	2	2	NUM
ejpam-6344	124	33	(	(	PUNCT
ejpam-6344	124	34	1	1	NUM
ejpam-6344	124	35	+	+	CCONJ
ejpam-6344	124	36	√	√	NUM
ejpam-6344	124	37	3	3	NUM
ejpam-6344	124	38	i	i	NOUN
ejpam-6344	124	39	)	)	PUNCT
ejpam-6344	124	40	0	0	NUM
ejpam-6344	124	41	0	0	NUM
ejpam-6344	124	42	0	0	NUM
ejpam-6344	124	43	1	1	NUM
ejpam-6344	124	44	2	2	NUM
ejpam-6344	124	45	(	(	PUNCT
ejpam-6344	124	46	1	1	NUM
ejpam-6344	124	47	+	+	CCONJ
ejpam-6344	124	48	√	√	NUM
ejpam-6344	124	49	3	3	NUM
ejpam-6344	124	50	i	i	NOUN
ejpam-6344	124	51	)	)	PUNCT
ejpam-6344	124	52	0	0	NUM
ejpam-6344	124	53	0	0	NUM
ejpam-6344	124	54	0	0	NUM
ejpam-6344	124	55	0	0	NUM
ejpam-6344	124	56	0	0	NUM
ejpam-6344	124	57	0	0	NUM
ejpam-6344	124	58	0	0	NUM
ejpam-6344	124	59	0	0	NUM
ejpam-6344	124	60	0	0	NUM
ejpam-6344	124	61	0	0	NUM
ejpam-6344	124	62	0	0	NUM
ejpam-6344	124	63	√	√	NUM
ejpam-6344	124	64	2	2	NUM
ejpam-6344	124	65	2	2	NUM
ejpam-6344	124	66	(	(	PUNCT
ejpam-6344	124	67	1	1	NUM
ejpam-6344	124	68	+	+	CCONJ
ejpam-6344	124	69	i	i	NOUN
ejpam-6344	124	70	)	)	PUNCT
ejpam-6344	124	71	0	0	NUM
ejpam-6344	125	1	0	0	NUM
ejpam-6344	125	2	0	0	NUM
ejpam-6344	125	3	0	0	NUM
ejpam-6344	125	4	0	0	NUM
ejpam-6344	125	5	0	0	NUM
ejpam-6344	125	6	0	0	NUM
ejpam-6344	125	7	0	0	NUM
ejpam-6344	125	8	0	0	NUM
ejpam-6344	125	9	0	0	NUM
ejpam-6344	125	10	0	0	NUM
ejpam-6344	125	11	1	1	NUM
ejpam-6344	125	12	2	2	NUM
ejpam-6344	125	13	(	(	PUNCT
ejpam-6344	125	14	1	1	NUM
ejpam-6344	125	15	+	+	CCONJ
ejpam-6344	125	16	√	√	NUM
ejpam-6344	125	17	3	3	NUM
ejpam-6344	125	18	i	i	NOUN
ejpam-6344	125	19	)	)	PUNCT
ejpam-6344	125	20	0	0	NUM
ejpam-6344	125	21	0	0	NUM
ejpam-6344	125	22	0	0	NUM
ejpam-6344	125	23	1	1	NUM
ejpam-6344	125	24	2	2	NUM
ejpam-6344	125	25	(	(	PUNCT
ejpam-6344	125	26	1	1	NUM
ejpam-6344	125	27	+	+	CCONJ
ejpam-6344	125	28	√	√	NUM
ejpam-6344	125	29	3	3	NUM
ejpam-6344	125	30	i	i	NOUN
ejpam-6344	125	31	)	)	PUNCT
ejpam-6344	125	32	0	0	NUM
ejpam-6344	125	33	0	0	NUM
ejpam-6344	125	34	0	0	NUM
ejpam-6344	125	35	0	0	NUM
ejpam-6344	125	36	0	0	NUM
ejpam-6344	125	37	0	0	NUM
ejpam-6344	125	38	0	0	NUM
ejpam-6344	125	39	0	0	NUM
ejpam-6344	125	40	0	0	NUM
ejpam-6344	125	41	0	0	NUM
ejpam-6344	125	42	0	0	NUM
ejpam-6344	125	43	1	1	NUM
ejpam-6344	125	44	2	2	NUM
ejpam-6344	125	45	(	(	PUNCT
ejpam-6344	125	46	1	1	NUM
ejpam-6344	125	47	+	+	CCONJ
ejpam-6344	125	48	√	√	NUM
ejpam-6344	125	49	3	3	NUM
ejpam-6344	125	50	i	i	NOUN
ejpam-6344	125	51	)	)	PUNCT
ejpam-6344	125	52	0	0	NUM
ejpam-6344	125	53	0	0	NUM
ejpam-6344	125	54	0	0	NUM
ejpam-6344	125	55	0	0	NUM
ejpam-6344	125	56	0	0	NUM
ejpam-6344	125	57	0	0	NUM
ejpam-6344	125	58	0	0	NUM
ejpam-6344	125	59	0	0	NUM
ejpam-6344	125	60	0	0	NUM
ejpam-6344	125	61	0	0	NUM
ejpam-6344	125	62	0	0	NUM
ejpam-6344	125	63	√	√	NUM
ejpam-6344	125	64	2	2	NUM
ejpam-6344	125	65	2	2	NUM
ejpam-6344	125	66	(	(	PUNCT
ejpam-6344	125	67	1	1	NUM
ejpam-6344	125	68	+	+	CCONJ
ejpam-6344	125	69	i	i	NOUN
ejpam-6344	125	70	)	)	PUNCT
ejpam-6344	125	71			NOUN
ejpam-6344	125	72	3.1	3.1	NUM
ejpam-6344	125	73	.	.	PUNCT
ejpam-6344	126	1	αswap	αswap	PROPN
ejpam-6344	126	2	is	be	AUX
ejpam-6344	126	3	a	a	DET
ejpam-6344	126	4	universal	universal	ADJ
ejpam-6344	126	5	quantum	quantum	ADJ
ejpam-6344	126	6	logic	logic	NOUN
ejpam-6344	126	7	gate	gate	NOUN
ejpam-6344	126	8	from	from	ADP
ejpam-6344	126	9	definition	definition	NOUN
ejpam-6344	126	10	1	1	NUM
ejpam-6344	126	11	,	,	PUNCT
ejpam-6344	126	12	it	it	PRON
ejpam-6344	126	13	is	be	AUX
ejpam-6344	126	14	clear	clear	ADJ
ejpam-6344	126	15	that	that	SCONJ
ejpam-6344	126	16	αswap	αswap	NOUN
ejpam-6344	126	17	is	be	AUX
ejpam-6344	126	18	unitary	unitary	ADJ
ejpam-6344	126	19	.	.	PUNCT
ejpam-6344	127	1	from	from	ADP
ejpam-6344	127	2	[	[	X
ejpam-6344	127	3	30	30	NUM
ejpam-6344	127	4	]	]	X
ejpam-6344	127	5	it	it	PRON
ejpam-6344	127	6	is	be	AUX
ejpam-6344	127	7	well	well	ADV
ejpam-6344	127	8	known	know	VERB
ejpam-6344	127	9	that	that	SCONJ
ejpam-6344	127	10	a	a	DET
ejpam-6344	127	11	2	2	NUM
ejpam-6344	127	12	-	-	PUNCT
ejpam-6344	127	13	qudit	qudit	NOUN
ejpam-6344	127	14	gate	gate	NOUN
ejpam-6344	127	15	(	(	PUNCT
ejpam-6344	127	16	i.e.	i.e.	X
ejpam-6344	127	17	,	,	PUNCT
ejpam-6344	127	18	a	a	DET
ejpam-6344	127	19	gate	gate	NOUN
ejpam-6344	127	20	operating	operate	VERB
ejpam-6344	127	21	on	on	ADP
ejpam-6344	127	22	two	two	NUM
ejpam-6344	127	23	d	d	ADJ
ejpam-6344	127	24	-	-	PUNCT
ejpam-6344	127	25	level	level	NOUN
ejpam-6344	127	26	qudits	qudit	NOUN
ejpam-6344	127	27	)	)	PUNCT
ejpam-6344	127	28	is	be	AUX
ejpam-6344	127	29	universal	universal	ADJ
ejpam-6344	127	30	(	(	PUNCT
ejpam-6344	127	31	i.e.	i.e.	X
ejpam-6344	127	32	,	,	PUNCT
ejpam-6344	127	33	forms	form	VERB
ejpam-6344	127	34	a	a	DET
ejpam-6344	127	35	universal	universal	ADJ
ejpam-6344	127	36	set	set	VERB
ejpam-6344	127	37	together	together	ADV
ejpam-6344	127	38	with	with	ADP
ejpam-6344	127	39	all	all	DET
ejpam-6344	127	40	1	1	NUM
ejpam-6344	127	41	-	-	PUNCT
ejpam-6344	127	42	qudit	qudit	NOUN
ejpam-6344	127	43	gates	gate	NOUN
ejpam-6344	127	44	)	)	PUNCT
ejpam-6344	128	1	if	if	SCONJ
ejpam-6344	128	2	and	and	CCONJ
ejpam-6344	128	3	only	only	ADV
ejpam-6344	128	4	if	if	SCONJ
ejpam-6344	128	5	it	it	PRON
ejpam-6344	128	6	is	be	AUX
ejpam-6344	128	7	entangling	entangle	VERB
ejpam-6344	128	8	(	(	PUNCT
ejpam-6344	128	9	i.e.	i.e.	X
ejpam-6344	128	10	,	,	PUNCT
ejpam-6344	128	11	it	it	PRON
ejpam-6344	128	12	can	can	AUX
ejpam-6344	128	13	create	create	VERB
ejpam-6344	128	14	entangled	entangled	ADJ
ejpam-6344	128	15	states	state	NOUN
ejpam-6344	128	16	from	from	ADP
ejpam-6344	128	17	some	some	DET
ejpam-6344	128	18	non	non	ADJ
ejpam-6344	128	19	-	-	ADJ
ejpam-6344	128	20	entangled	entangled	ADJ
ejpam-6344	128	21	ones	one	NOUN
ejpam-6344	128	22	)	)	PUNCT
ejpam-6344	128	23	.	.	PUNCT
ejpam-6344	129	1	however	however	ADV
ejpam-6344	129	2	,	,	PUNCT
ejpam-6344	129	3	the	the	DET
ejpam-6344	129	4	entangling	entangle	VERB
ejpam-6344	129	5	property	property	NOUN
ejpam-6344	129	6	of	of	ADP
ejpam-6344	129	7	αswap	αswap	NOUN
ejpam-6344	129	8	is	be	AUX
ejpam-6344	129	9	not	not	PART
ejpam-6344	129	10	obvious	obvious	ADJ
ejpam-6344	129	11	.	.	PUNCT
ejpam-6344	130	1	this	this	DET
ejpam-6344	130	2	fact	fact	NOUN
ejpam-6344	130	3	is	be	AUX
ejpam-6344	130	4	well	well	ADV
ejpam-6344	130	5	known	known	ADJ
ejpam-6344	130	6	and	and	CCONJ
ejpam-6344	130	7	easy	easy	ADJ
ejpam-6344	130	8	to	to	PART
ejpam-6344	130	9	prove	prove	VERB
ejpam-6344	130	10	only	only	ADV
ejpam-6344	130	11	for	for	ADP
ejpam-6344	130	12	iswap	iswap	NOUN
ejpam-6344	130	13	in	in	ADP
ejpam-6344	130	14	dimension	dimension	NOUN
ejpam-6344	130	15	two	two	NUM
ejpam-6344	130	16	.	.	PUNCT
ejpam-6344	131	1	in	in	ADP
ejpam-6344	131	2	this	this	DET
ejpam-6344	131	3	section	section	NOUN
ejpam-6344	131	4	we	we	PRON
ejpam-6344	131	5	will	will	AUX
ejpam-6344	131	6	prove	prove	VERB
ejpam-6344	131	7	that	that	SCONJ
ejpam-6344	131	8	αswap	αswap	NOUN
ejpam-6344	131	9	is	be	AUX
ejpam-6344	131	10	almost	almost	ADV
ejpam-6344	131	11	always	always	ADV
ejpam-6344	131	12	a	a	DET
ejpam-6344	131	13	universal	universal	ADJ
ejpam-6344	131	14	quantum	quantum	NOUN
ejpam-6344	131	15	gate	gate	NOUN
ejpam-6344	131	16	.	.	PUNCT
ejpam-6344	132	1	we	we	PRON
ejpam-6344	132	2	use	use	VERB
ejpam-6344	132	3	the	the	DET
ejpam-6344	132	4	non	non	ADJ
ejpam-6344	132	5	-	-	ADJ
ejpam-6344	132	6	entangling	entangle	VERB
ejpam-6344	132	7	criterion	criterion	NOUN
ejpam-6344	132	8	from	from	ADP
ejpam-6344	132	9	[	[	X
ejpam-6344	132	10	26	26	NUM
ejpam-6344	132	11	]	]	PUNCT
ejpam-6344	132	12	.	.	PUNCT
ejpam-6344	133	1	to	to	PART
ejpam-6344	133	2	show	show	VERB
ejpam-6344	133	3	that	that	SCONJ
ejpam-6344	133	4	any	any	DET
ejpam-6344	133	5	operator	operator	NOUN
ejpam-6344	133	6	r	r	NOUN
ejpam-6344	133	7	:	:	PUNCT
ejpam-6344	133	8	h	h	NOUN
ejpam-6344	133	9	⊗h	⊗h	NOUN
ejpam-6344	133	10	→	→	PUNCT
ejpam-6344	133	11	h	h	NOUN
ejpam-6344	133	12	⊗h	⊗h	NOUN
ejpam-6344	133	13	is	be	AUX
ejpam-6344	133	14	entangling	entangle	VERB
ejpam-6344	133	15	,	,	PUNCT
ejpam-6344	133	16	it	it	PRON
ejpam-6344	133	17	suffices	suffice	VERB
ejpam-6344	133	18	to	to	PART
ejpam-6344	133	19	show	show	VERB
ejpam-6344	133	20	that	that	SCONJ
ejpam-6344	133	21	neither	neither	CCONJ
ejpam-6344	133	22	r	r	NOUN
ejpam-6344	133	23	nor	nor	CCONJ
ejpam-6344	133	24	rs	rs	NOUN
ejpam-6344	133	25	can	can	AUX
ejpam-6344	133	26	be	be	AUX
ejpam-6344	133	27	factored	factor	VERB
ejpam-6344	133	28	as	as	ADP
ejpam-6344	133	29	x⊗y	x⊗y	PROPN
ejpam-6344	133	30	,	,	PUNCT
ejpam-6344	133	31	where	where	SCONJ
ejpam-6344	133	32	x	x	PUNCT
ejpam-6344	133	33	and	and	CCONJ
ejpam-6344	133	34	y	y	PROPN
ejpam-6344	133	35	are	be	AUX
ejpam-6344	133	36	arbitrary	arbitrary	ADJ
ejpam-6344	133	37	operators	operator	NOUN
ejpam-6344	133	38	on	on	ADP
ejpam-6344	133	39	h	h	PROPN
ejpam-6344	133	40	,	,	PUNCT
ejpam-6344	133	41	i.e.	i.e.	X
ejpam-6344	133	42	,	,	PUNCT
ejpam-6344	133	43	x	x	X
ejpam-6344	133	44	,	,	PUNCT
ejpam-6344	133	45	y	y	PROPN
ejpam-6344	133	46	:	:	PUNCT
ejpam-6344	133	47	h	h	PROPN
ejpam-6344	133	48	→	→	SYM
ejpam-6344	133	49	h	h	NOUN
ejpam-6344	133	50	.	.	PUNCT
ejpam-6344	134	1	here	here	ADV
ejpam-6344	134	2	s	s	VERB
ejpam-6344	134	3	is	be	AUX
ejpam-6344	134	4	the	the	DET
ejpam-6344	134	5	usual	usual	ADJ
ejpam-6344	134	6	swap	swap	NOUN
ejpam-6344	134	7	gate	gate	NOUN
ejpam-6344	134	8	with	with	ADP
ejpam-6344	134	9	the	the	DET
ejpam-6344	134	10	same	same	ADJ
ejpam-6344	134	11	dimension	dimension	NOUN
ejpam-6344	134	12	as	as	SCONJ
ejpam-6344	134	13	r.	r.	PROPN
ejpam-6344	134	14	theorem	theorem	NOUN
ejpam-6344	134	15	1	1	NUM
ejpam-6344	134	16	.	.	X
ejpam-6344	135	1	for	for	ADP
ejpam-6344	135	2	any	any	DET
ejpam-6344	135	3	d	d	X
ejpam-6344	135	4	≥	≥	NUM
ejpam-6344	135	5	2	2	NUM
ejpam-6344	135	6	the	the	DET
ejpam-6344	135	7	αswap	αswap	NOUN
ejpam-6344	135	8	from	from	ADP
ejpam-6344	135	9	definition	definition	NOUN
ejpam-6344	135	10	1	1	NUM
ejpam-6344	135	11	is	be	AUX
ejpam-6344	135	12	entangling	entangle	VERB
ejpam-6344	135	13	,	,	PUNCT
ejpam-6344	135	14	hence	hence	ADV
ejpam-6344	135	15	universal	universal	ADJ
ejpam-6344	135	16	[	[	X
ejpam-6344	135	17	30	30	NUM
ejpam-6344	135	18	]	]	PUNCT
ejpam-6344	135	19	,	,	PUNCT
ejpam-6344	135	20	if	if	SCONJ
ejpam-6344	135	21	the	the	DET
ejpam-6344	135	22	following	follow	VERB
ejpam-6344	135	23	condition	condition	NOUN
ejpam-6344	135	24	is	be	AUX
ejpam-6344	135	25	satisfied	satisfied	ADJ
ejpam-6344	135	26	:	:	PUNCT
ejpam-6344	135	27	eiα1eiαd2	eiα1eiαd2	PROPN
ejpam-6344	135	28	̸=	̸=	PROPN
ejpam-6344	135	29	eiαdeiαd2−d+1	eiαdeiαd2−d+1	X
ejpam-6344	135	30	(	(	PUNCT
ejpam-6344	135	31	8)	8)	NUM
ejpam-6344	135	32	proof	proof	NOUN
ejpam-6344	135	33	.	.	PUNCT
ejpam-6344	136	1	we	we	PRON
ejpam-6344	136	2	prove	prove	VERB
ejpam-6344	136	3	this	this	DET
ejpam-6344	136	4	theorem	theorem	NOUN
ejpam-6344	136	5	by	by	ADP
ejpam-6344	136	6	showing	show	VERB
ejpam-6344	136	7	that	that	SCONJ
ejpam-6344	136	8	the	the	DET
ejpam-6344	136	9	condition	condition	NOUN
ejpam-6344	136	10	(	(	PUNCT
ejpam-6344	136	11	8)	8)	NUM
ejpam-6344	136	12	is	be	AUX
ejpam-6344	136	13	sufficient	sufficient	ADJ
ejpam-6344	136	14	to	to	PART
ejpam-6344	136	15	ensure	ensure	VERB
ejpam-6344	136	16	that	that	SCONJ
ejpam-6344	136	17	neither	neither	CCONJ
ejpam-6344	136	18	αswap	αswap	NOUN
ejpam-6344	136	19	nor	nor	CCONJ
ejpam-6344	136	20	(	(	PUNCT
ejpam-6344	136	21	αswap)s	αswap)s	PROPN
ejpam-6344	136	22	can	can	AUX
ejpam-6344	136	23	be	be	AUX
ejpam-6344	136	24	factored	factor	VERB
ejpam-6344	136	25	as	as	ADP
ejpam-6344	136	26	x	x	PROPN
ejpam-6344	136	27	⊗	⊗	PROPN
ejpam-6344	136	28	y	y	PROPN
ejpam-6344	137	1	[	[	X
ejpam-6344	137	2	26	26	NUM
ejpam-6344	137	3	]	]	PUNCT
ejpam-6344	137	4	.	.	PUNCT
ejpam-6344	138	1	in	in	ADP
ejpam-6344	138	2	fact	fact	NOUN
ejpam-6344	138	3	,	,	PUNCT
ejpam-6344	138	4	as	as	SCONJ
ejpam-6344	138	5	we	we	PRON
ejpam-6344	138	6	will	will	AUX
ejpam-6344	138	7	see	see	VERB
ejpam-6344	138	8	,	,	PUNCT
ejpam-6344	138	9	αswap	αswap	PROPN
ejpam-6344	138	10	can	can	AUX
ejpam-6344	138	11	never	never	ADV
ejpam-6344	138	12	be	be	AUX
ejpam-6344	138	13	factored	factor	VERB
ejpam-6344	138	14	.	.	PUNCT
ejpam-6344	139	1	to	to	PART
ejpam-6344	139	2	see	see	VERB
ejpam-6344	139	3	this	this	PRON
ejpam-6344	139	4	,	,	PUNCT
ejpam-6344	139	5	suppose	suppose	VERB
ejpam-6344	139	6	the	the	DET
ejpam-6344	139	7	contrary	contrary	NOUN
ejpam-6344	139	8	:	:	PUNCT
ejpam-6344	139	9	assume	assume	VERB
ejpam-6344	139	10	that	that	SCONJ
ejpam-6344	139	11	αswap	αswap	NOUN
ejpam-6344	139	12	can	can	AUX
ejpam-6344	139	13	be	be	AUX
ejpam-6344	139	14	written	write	VERB
ejpam-6344	139	15	as	as	ADP
ejpam-6344	139	16	x	x	PROPN
ejpam-6344	139	17	⊗	⊗	PROPN
ejpam-6344	139	18	y	y	PROPN
ejpam-6344	139	19	for	for	ADP
ejpam-6344	139	20	two	two	NUM
ejpam-6344	139	21	d×d	d×d	PROPN
ejpam-6344	139	22	matrices	matrix	NOUN
ejpam-6344	139	23	x	x	PUNCT
ejpam-6344	139	24	and	and	CCONJ
ejpam-6344	139	25	y	y	PROPN
ejpam-6344	139	26	with	with	ADP
ejpam-6344	139	27	entries	entry	NOUN
ejpam-6344	139	28	denoted	denote	VERB
ejpam-6344	139	29	by	by	ADP
ejpam-6344	139	30	xij	xij	PROPN
ejpam-6344	139	31	and	and	CCONJ
ejpam-6344	139	32	yij	yij	NOUN
ejpam-6344	139	33	,	,	PUNCT
ejpam-6344	139	34	respectively	respectively	ADV
ejpam-6344	139	35	.	.	PUNCT
ejpam-6344	140	1	by	by	ADP
ejpam-6344	140	2	focusing	focus	VERB
ejpam-6344	140	3	solely	solely	ADV
ejpam-6344	140	4	on	on	ADP
ejpam-6344	140	5	the	the	DET
ejpam-6344	140	6	diagonal	diagonal	ADJ
ejpam-6344	140	7	entries	entry	NOUN
ejpam-6344	140	8	at	at	ADP
ejpam-6344	140	9	positions	position	NOUN
ejpam-6344	140	10	(	(	PUNCT
ejpam-6344	140	11	1	1	NUM
ejpam-6344	140	12	,	,	PUNCT
ejpam-6344	140	13	1	1	NUM
ejpam-6344	140	14	)	)	PUNCT
ejpam-6344	140	15	,	,	PUNCT
ejpam-6344	140	16	(	(	PUNCT
ejpam-6344	140	17	d	d	X
ejpam-6344	140	18	,	,	PUNCT
ejpam-6344	140	19	d	d	NOUN
ejpam-6344	140	20	)	)	PUNCT
ejpam-6344	140	21	,	,	PUNCT
ejpam-6344	140	22	(	(	PUNCT
ejpam-6344	140	23	d2−d+1	d2−d+1	NOUN
ejpam-6344	140	24	,	,	PUNCT
ejpam-6344	140	25	d2−d+1	d2−d+1	NOUN
ejpam-6344	140	26	)	)	PUNCT
ejpam-6344	140	27	,	,	PUNCT
ejpam-6344	140	28	and	and	CCONJ
ejpam-6344	140	29	(	(	PUNCT
ejpam-6344	140	30	d2	d2	PROPN
ejpam-6344	140	31	,	,	PUNCT
ejpam-6344	140	32	d2	d2	PROPN
ejpam-6344	140	33	)	)	PUNCT
ejpam-6344	140	34	in	in	ADP
ejpam-6344	140	35	both	both	CCONJ
ejpam-6344	140	36	αswap	αswap	NOUN
ejpam-6344	140	37	and	and	CCONJ
ejpam-6344	140	38	x	x	SYM
ejpam-6344	140	39	⊗	⊗	PROPN
ejpam-6344	140	40	y	y	PROPN
ejpam-6344	140	41	,	,	PUNCT
ejpam-6344	140	42	we	we	PRON
ejpam-6344	140	43	obtain	obtain	VERB
ejpam-6344	140	44	the	the	DET
ejpam-6344	140	45	following	follow	VERB
ejpam-6344	140	46	equalities	equality	NOUN
ejpam-6344	140	47	:	:	PUNCT
ejpam-6344	140	48	on	on	ADP
ejpam-6344	140	49	one	one	NUM
ejpam-6344	140	50	hand	hand	NOUN
ejpam-6344	140	51	,	,	PUNCT
ejpam-6344	140	52	(	(	PUNCT
ejpam-6344	140	53	x11y11)(xddydd	x11y11)(xddydd	X
ejpam-6344	140	54	)	)	PUNCT
ejpam-6344	140	55	=	=	SYM
ejpam-6344	140	56	eiα1eiαd2	eiα1eiαd2	PROPN
ejpam-6344	140	57	,	,	PUNCT
ejpam-6344	140	58	and	and	CCONJ
ejpam-6344	140	59	on	on	ADP
ejpam-6344	140	60	the	the	DET
ejpam-6344	140	61	other	other	ADJ
ejpam-6344	140	62	hand	hand	NOUN
ejpam-6344	140	63	,	,	PUNCT
ejpam-6344	140	64	(	(	PUNCT
ejpam-6344	140	65	x11ydd)(xddy11	x11ydd)(xddy11	NOUN
ejpam-6344	140	66	)	)	PUNCT
ejpam-6344	140	67	=	=	SYM
ejpam-6344	140	68	(	(	PUNCT
ejpam-6344	140	69	0)(0	0)(0	NUM
ejpam-6344	140	70	)	)	PUNCT
ejpam-6344	140	71	=	=	SYM
ejpam-6344	140	72	0	0	X
ejpam-6344	140	73	.	.	PUNCT
ejpam-6344	140	74	a.	a.	NOUN
ejpam-6344	140	75	pourkia	pourkia	PROPN
ejpam-6344	140	76	/	/	SYM
ejpam-6344	140	77	eur	eur	PROPN
ejpam-6344	140	78	.	.	PUNCT
ejpam-6344	141	1	j.	j.	PROPN
ejpam-6344	141	2	pure	pure	PROPN
ejpam-6344	141	3	appl	appl	PROPN
ejpam-6344	141	4	.	.	PROPN
ejpam-6344	141	5	math	math	PROPN
ejpam-6344	141	6	,	,	PUNCT
ejpam-6344	141	7	18	18	NUM
ejpam-6344	141	8	(	(	PUNCT
ejpam-6344	141	9	3	3	NUM
ejpam-6344	141	10	)	)	PUNCT
ejpam-6344	141	11	(	(	PUNCT
ejpam-6344	141	12	2025	2025	NUM
ejpam-6344	141	13	)	)	PUNCT
ejpam-6344	141	14	,	,	PUNCT
ejpam-6344	141	15	6344	6344	NUM
ejpam-6344	141	16	8	8	NUM
ejpam-6344	141	17	of	of	ADP
ejpam-6344	141	18	14	14	NUM
ejpam-6344	141	19	however	however	ADV
ejpam-6344	141	20	,	,	PUNCT
ejpam-6344	141	21	the	the	DET
ejpam-6344	141	22	left	left	ADJ
ejpam-6344	141	23	sides	side	NOUN
ejpam-6344	141	24	of	of	ADP
ejpam-6344	141	25	these	these	DET
ejpam-6344	141	26	expressions	expression	NOUN
ejpam-6344	141	27	must	must	AUX
ejpam-6344	141	28	be	be	AUX
ejpam-6344	141	29	equal	equal	ADJ
ejpam-6344	141	30	.	.	PUNCT
ejpam-6344	142	1	thus	thus	ADV
ejpam-6344	142	2	,	,	PUNCT
ejpam-6344	142	3	assuming	assume	VERB
ejpam-6344	142	4	that	that	SCONJ
ejpam-6344	142	5	αswap	αswap	NOUN
ejpam-6344	142	6	can	can	AUX
ejpam-6344	142	7	be	be	AUX
ejpam-6344	142	8	factored	factor	VERB
ejpam-6344	142	9	as	as	SCONJ
ejpam-6344	142	10	x	x	PROPN
ejpam-6344	142	11	⊗	⊗	PROPN
ejpam-6344	142	12	y	y	PROPN
ejpam-6344	142	13	leads	lead	VERB
ejpam-6344	142	14	to	to	ADP
ejpam-6344	142	15	the	the	DET
ejpam-6344	142	16	contradiction	contradiction	NOUN
ejpam-6344	143	1	eiα1eiαd2	eiα1eiαd2	PROPN
ejpam-6344	143	2	=	=	SYM
ejpam-6344	143	3	0	0	X
ejpam-6344	143	4	.	.	PUNCT
ejpam-6344	144	1	therefore	therefore	ADV
ejpam-6344	144	2	,	,	PUNCT
ejpam-6344	144	3	αswap	αswap	PROPN
ejpam-6344	144	4	can	can	AUX
ejpam-6344	144	5	not	not	PART
ejpam-6344	144	6	be	be	AUX
ejpam-6344	144	7	factored	factor	VERB
ejpam-6344	144	8	.	.	PUNCT
ejpam-6344	145	1	below	below	ADV
ejpam-6344	145	2	,	,	PUNCT
ejpam-6344	145	3	we	we	PRON
ejpam-6344	145	4	illustrate	illustrate	VERB
ejpam-6344	145	5	this	this	DET
ejpam-6344	145	6	argument	argument	NOUN
ejpam-6344	145	7	by	by	ADP
ejpam-6344	145	8	highlighting	highlight	VERB
ejpam-6344	145	9	the	the	DET
ejpam-6344	145	10	relevant	relevant	ADJ
ejpam-6344	145	11	entries	entry	NOUN
ejpam-6344	145	12	with	with	ADP
ejpam-6344	145	13	boxes	box	NOUN
ejpam-6344	145	14	:	:	PUNCT
ejpam-6344	145	15	αswap	αswap	NOUN
ejpam-6344	145	16	=	=	PUNCT
ejpam-6344	145	17			PROPN
ejpam-6344	145	18	eiα1	eiα1	PROPN
ejpam-6344	145	19	∗	∗	VERB
ejpam-6344	145	20	∗	∗	NOUN
ejpam-6344	145	21	∗	∗	NOUN
ejpam-6344	145	22	∗	∗	NOUN
ejpam-6344	145	23	∗	∗	NOUN
ejpam-6344	145	24	∗	∗	NOUN
ejpam-6344	145	25	∗	∗	NOUN
ejpam-6344	145	26	∗	∗	NOUN
ejpam-6344	145	27	∗	∗	NOUN
ejpam-6344	145	28	∗	∗	NOUN
ejpam-6344	145	29	∗	∗	NOUN
ejpam-6344	145	30	∗	∗	NOUN
ejpam-6344	145	31	∗	∗	NOUN
ejpam-6344	145	32	∗	∗	NOUN
ejpam-6344	145	33	∗	∗	NOUN
ejpam-6344	145	34	∗	∗	NOUN
ejpam-6344	145	35	∗	∗	NOUN
ejpam-6344	145	36	∗	∗	NOUN
ejpam-6344	145	37	∗	∗	NOUN
ejpam-6344	145	38	0	0	NUM
ejpam-6344	145	39	∗	∗	NOUN
ejpam-6344	145	40	∗	∗	NOUN
ejpam-6344	145	41	∗	∗	NOUN
ejpam-6344	145	42	∗	∗	NOUN
ejpam-6344	145	43	∗	∗	NOUN
ejpam-6344	145	44	∗	∗	NOUN
ejpam-6344	145	45	∗	∗	NOUN
ejpam-6344	145	46	∗	∗	NOUN
ejpam-6344	145	47	∗	∗	NOUN
ejpam-6344	145	48	∗	∗	NOUN
ejpam-6344	145	49	∗	∗	NOUN
ejpam-6344	145	50	∗	∗	NOUN
ejpam-6344	145	51	∗	∗	NOUN
ejpam-6344	145	52	∗	∗	NOUN
ejpam-6344	145	53	∗	∗	NOUN
ejpam-6344	145	54	∗	∗	NOUN
ejpam-6344	145	55	∗	∗	NOUN
ejpam-6344	145	56	∗	∗	NOUN
ejpam-6344	145	57	∗	∗	NOUN
ejpam-6344	145	58	∗	∗	NOUN
ejpam-6344	145	59	∗	∗	NOUN
ejpam-6344	145	60	∗	∗	NOUN
ejpam-6344	145	61	∗	∗	NOUN
ejpam-6344	145	62	∗	∗	NOUN
ejpam-6344	145	63	∗	∗	NOUN
ejpam-6344	145	64	∗	∗	NOUN
ejpam-6344	145	65	∗	∗	NOUN
ejpam-6344	145	66	∗	∗	NOUN
ejpam-6344	145	67	∗	∗	NOUN
ejpam-6344	145	68	∗	∗	NOUN
ejpam-6344	145	69	∗	∗	NOUN
ejpam-6344	145	70	∗	∗	NOUN
ejpam-6344	145	71	∗	∗	NOUN
ejpam-6344	145	72	∗	∗	NOUN
ejpam-6344	145	73	∗	∗	NOUN
ejpam-6344	145	74	∗	∗	NOUN
ejpam-6344	145	75	∗	∗	NOUN
ejpam-6344	145	76	∗	∗	NOUN
ejpam-6344	145	77	∗	∗	NOUN
ejpam-6344	145	78	0	0	NUM
ejpam-6344	145	79	∗	∗	NOUN
ejpam-6344	145	80	∗	∗	NOUN
ejpam-6344	145	81	∗	∗	NOUN
ejpam-6344	145	82	∗	∗	NOUN
ejpam-6344	145	83	∗	∗	NOUN
ejpam-6344	145	84	∗	∗	NOUN
ejpam-6344	145	85	∗	∗	NOUN
ejpam-6344	145	86	∗	∗	NOUN
ejpam-6344	145	87	∗	∗	NOUN
ejpam-6344	145	88	∗	∗	NOUN
ejpam-6344	145	89	∗	∗	NOUN
ejpam-6344	145	90	∗	∗	NOUN
ejpam-6344	145	91	∗	∗	NOUN
ejpam-6344	145	92	∗	∗	NOUN
ejpam-6344	145	93	∗	∗	NOUN
ejpam-6344	145	94	∗	∗	NOUN
ejpam-6344	145	95	∗	∗	NOUN
ejpam-6344	145	96	∗	∗	NOUN
ejpam-6344	145	97	∗	∗	NOUN
ejpam-6344	145	98	eiαd2	eiαd2	NOUN
ejpam-6344	145	99			PROPN
ejpam-6344	146	1	=	=	PUNCT
ejpam-6344	146	2			PROPN
ejpam-6344	146	3	x11	x11	PROPN
ejpam-6344	146	4	∗	∗	NOUN
ejpam-6344	146	5	∗	∗	NOUN
ejpam-6344	146	6	∗	∗	NOUN
ejpam-6344	146	7	∗	∗	NOUN
ejpam-6344	146	8	∗	∗	NOUN
ejpam-6344	146	9	∗	∗	PROPN
ejpam-6344	146	10	∗	∗	NOUN
ejpam-6344	146	11	xdd	xdd	PROPN
ejpam-6344	146	12	⊗	⊗	VERB
ejpam-6344	146	13			PROPN
ejpam-6344	146	14	y11	y11	NOUN
ejpam-6344	146	15	∗	∗	NOUN
ejpam-6344	146	16	∗	∗	NOUN
ejpam-6344	146	17	∗	∗	NOUN
ejpam-6344	146	18	∗	∗	NOUN
ejpam-6344	146	19	∗	∗	NOUN
ejpam-6344	146	20	∗	∗	NOUN
ejpam-6344	146	21	∗	∗	NOUN
ejpam-6344	146	22	ydd	ydd	VERB
ejpam-6344	146	23			PROPN
ejpam-6344	146	24	=	=	SYM
ejpam-6344	146	25			NOUN
ejpam-6344	146	26	x11y11	x11y11	PROPN
ejpam-6344	146	27	∗	∗	NOUN
ejpam-6344	146	28	∗	∗	NOUN
ejpam-6344	146	29	∗	∗	NOUN
ejpam-6344	146	30	∗	∗	NOUN
ejpam-6344	146	31	∗	∗	NOUN
ejpam-6344	146	32	∗	∗	NOUN
ejpam-6344	146	33	∗	∗	NOUN
ejpam-6344	146	34	∗	∗	NOUN
ejpam-6344	146	35	∗	∗	NOUN
ejpam-6344	146	36	∗	∗	NOUN
ejpam-6344	146	37	∗	∗	NOUN
ejpam-6344	146	38	∗	∗	NOUN
ejpam-6344	146	39	∗	∗	NOUN
ejpam-6344	146	40	∗	∗	NOUN
ejpam-6344	146	41	∗	∗	NOUN
ejpam-6344	146	42	∗	∗	NOUN
ejpam-6344	146	43	∗	∗	NOUN
ejpam-6344	146	44	∗	∗	NOUN
ejpam-6344	146	45	∗	∗	NOUN
ejpam-6344	146	46	x11ydd	x11ydd	PROPN
ejpam-6344	146	47	∗	∗	NOUN
ejpam-6344	146	48	∗	∗	NOUN
ejpam-6344	146	49	∗	∗	NOUN
ejpam-6344	146	50	∗	∗	NOUN
ejpam-6344	146	51	∗	∗	NOUN
ejpam-6344	146	52	∗	∗	NOUN
ejpam-6344	146	53	∗	∗	NOUN
ejpam-6344	146	54	∗	∗	NOUN
ejpam-6344	146	55	∗	∗	NOUN
ejpam-6344	146	56	∗	∗	NOUN
ejpam-6344	146	57	∗	∗	NOUN
ejpam-6344	146	58	∗	∗	NOUN
ejpam-6344	146	59	∗	∗	NOUN
ejpam-6344	146	60	∗	∗	NOUN
ejpam-6344	146	61	∗	∗	NOUN
ejpam-6344	146	62	∗	∗	NOUN
ejpam-6344	146	63	∗	∗	NOUN
ejpam-6344	146	64	∗	∗	NOUN
ejpam-6344	146	65	∗	∗	NOUN
ejpam-6344	146	66	∗	∗	NOUN
ejpam-6344	146	67	∗	∗	NOUN
ejpam-6344	146	68	∗	∗	NOUN
ejpam-6344	146	69	∗	∗	NOUN
ejpam-6344	146	70	∗	∗	NOUN
ejpam-6344	146	71	∗	∗	NOUN
ejpam-6344	146	72	∗	∗	NOUN
ejpam-6344	146	73	∗	∗	NOUN
ejpam-6344	146	74	∗	∗	NOUN
ejpam-6344	146	75	∗	∗	NOUN
ejpam-6344	146	76	∗	∗	NOUN
ejpam-6344	146	77	∗	∗	NOUN
ejpam-6344	146	78	∗	∗	NOUN
ejpam-6344	146	79	∗	∗	NOUN
ejpam-6344	146	80	∗	∗	NOUN
ejpam-6344	146	81	∗	∗	NOUN
ejpam-6344	146	82	∗	∗	NOUN
ejpam-6344	146	83	∗	∗	NOUN
ejpam-6344	146	84	∗	∗	NOUN
ejpam-6344	146	85	∗	∗	NOUN
ejpam-6344	146	86	xddy11	xddy11	PROPN
ejpam-6344	146	87	∗	∗	NOUN
ejpam-6344	146	88	∗	∗	NOUN
ejpam-6344	146	89	∗	∗	NOUN
ejpam-6344	146	90	∗	∗	NOUN
ejpam-6344	146	91	∗	∗	NOUN
ejpam-6344	146	92	∗	∗	NOUN
ejpam-6344	146	93	∗	∗	NOUN
ejpam-6344	146	94	∗	∗	NOUN
ejpam-6344	146	95	∗	∗	NOUN
ejpam-6344	146	96	∗	∗	NOUN
ejpam-6344	146	97	∗	∗	NOUN
ejpam-6344	146	98	∗	∗	NOUN
ejpam-6344	146	99	∗	∗	NOUN
ejpam-6344	146	100	∗	∗	NOUN
ejpam-6344	146	101	∗	∗	NOUN
ejpam-6344	146	102	∗	∗	NOUN
ejpam-6344	146	103	∗	∗	NOUN
ejpam-6344	146	104	∗	∗	NOUN
ejpam-6344	146	105	∗	∗	NOUN
ejpam-6344	146	106	xddydd	xddydd	NOUN
ejpam-6344	146	107			NOUN
ejpam-6344	146	108	for	for	ADP
ejpam-6344	146	109	(	(	PUNCT
ejpam-6344	146	110	αswap)s	αswap)s	PROPN
ejpam-6344	146	111	,	,	PUNCT
ejpam-6344	146	112	a	a	DET
ejpam-6344	146	113	similar	similar	ADJ
ejpam-6344	146	114	argument	argument	NOUN
ejpam-6344	146	115	(	(	PUNCT
ejpam-6344	146	116	illustrated	illustrate	VERB
ejpam-6344	146	117	below	below	ADV
ejpam-6344	146	118	with	with	ADP
ejpam-6344	146	119	matrices	matrix	NOUN
ejpam-6344	146	120	and	and	CCONJ
ejpam-6344	146	121	boxed	boxed	ADJ
ejpam-6344	146	122	entries	entry	NOUN
ejpam-6344	146	123	)	)	PUNCT
ejpam-6344	146	124	shows	show	VERB
ejpam-6344	146	125	that	that	SCONJ
ejpam-6344	146	126	assuming	assume	VERB
ejpam-6344	146	127	(	(	PUNCT
ejpam-6344	146	128	αswap)s	αswap)s	PROPN
ejpam-6344	146	129	=	=	NOUN
ejpam-6344	146	130	x	x	SYM
ejpam-6344	146	131	⊗	⊗	PROPN
ejpam-6344	146	132	y	y	PROPN
ejpam-6344	146	133	leads	lead	VERB
ejpam-6344	146	134	to	to	ADP
ejpam-6344	146	135	the	the	DET
ejpam-6344	146	136	equality	equality	NOUN
ejpam-6344	147	1	eiα1eiαd2	eiα1eiαd2	PROPN
ejpam-6344	147	2	=	=	SYM
ejpam-6344	147	3	eiαdeiαd2−d+1	eiαdeiαd2−d+1	PROPN
ejpam-6344	147	4	.	.	PUNCT
ejpam-6344	148	1	therefore	therefore	ADV
ejpam-6344	148	2	,	,	PUNCT
ejpam-6344	148	3	if	if	SCONJ
ejpam-6344	148	4	eiα1eiαd2	eiα1eiαd2	PROPN
ejpam-6344	148	5	̸=	̸=	PROPN
ejpam-6344	148	6	eiαdeiαd2−d+1	eiαdeiαd2−d+1	PUNCT
ejpam-6344	148	7	,	,	PUNCT
ejpam-6344	148	8	then	then	ADV
ejpam-6344	148	9	(	(	PUNCT
ejpam-6344	148	10	αswap)s	αswap)s	PROPN
ejpam-6344	148	11	can	can	AUX
ejpam-6344	148	12	not	not	PART
ejpam-6344	148	13	be	be	AUX
ejpam-6344	148	14	factored	factor	VERB
ejpam-6344	148	15	.	.	PUNCT
ejpam-6344	149	1	a.	a.	NOUN
ejpam-6344	149	2	pourkia	pourkia	PROPN
ejpam-6344	149	3	/	/	SYM
ejpam-6344	149	4	eur	eur	PROPN
ejpam-6344	149	5	.	.	PUNCT
ejpam-6344	150	1	j.	j.	PROPN
ejpam-6344	150	2	pure	pure	PROPN
ejpam-6344	150	3	appl	appl	PROPN
ejpam-6344	150	4	.	.	PROPN
ejpam-6344	150	5	math	math	PROPN
ejpam-6344	150	6	,	,	PUNCT
ejpam-6344	150	7	18	18	NUM
ejpam-6344	150	8	(	(	PUNCT
ejpam-6344	150	9	3	3	NUM
ejpam-6344	150	10	)	)	PUNCT
ejpam-6344	150	11	(	(	PUNCT
ejpam-6344	150	12	2025	2025	NUM
ejpam-6344	150	13	)	)	PUNCT
ejpam-6344	150	14	,	,	PUNCT
ejpam-6344	150	15	6344	6344	NUM
ejpam-6344	150	16	9	9	NUM
ejpam-6344	150	17	of	of	ADP
ejpam-6344	150	18	14	14	NUM
ejpam-6344	150	19	(	(	PUNCT
ejpam-6344	150	20	αswap)s	αswap)s	PROPN
ejpam-6344	150	21	=	=	PUNCT
ejpam-6344	150	22			NOUN
ejpam-6344	150	23	eiα1	eiα1	PROPN
ejpam-6344	150	24	∗	∗	NOUN
ejpam-6344	150	25	∗	∗	NOUN
ejpam-6344	150	26	∗	∗	NOUN
ejpam-6344	150	27	∗	∗	NOUN
ejpam-6344	150	28	∗	∗	NOUN
ejpam-6344	150	29	∗	∗	NOUN
ejpam-6344	150	30	∗	∗	NOUN
ejpam-6344	150	31	∗	∗	NOUN
ejpam-6344	150	32	∗	∗	NOUN
ejpam-6344	150	33	∗	∗	NOUN
ejpam-6344	150	34	∗	∗	NOUN
ejpam-6344	150	35	∗	∗	NOUN
ejpam-6344	150	36	∗	∗	NOUN
ejpam-6344	150	37	∗	∗	NOUN
ejpam-6344	150	38	∗	∗	NOUN
ejpam-6344	150	39	∗	∗	NOUN
ejpam-6344	150	40	∗	∗	NOUN
ejpam-6344	150	41	∗	∗	NOUN
ejpam-6344	150	42	∗	∗	NOUN
ejpam-6344	150	43	eiαd	eiαd	NOUN
ejpam-6344	150	44	∗	∗	NOUN
ejpam-6344	150	45	∗	∗	NOUN
ejpam-6344	150	46	∗	∗	NOUN
ejpam-6344	150	47	∗	∗	NOUN
ejpam-6344	150	48	∗	∗	NOUN
ejpam-6344	150	49	∗	∗	NOUN
ejpam-6344	150	50	∗	∗	NOUN
ejpam-6344	150	51	∗	∗	NOUN
ejpam-6344	150	52	∗	∗	NOUN
ejpam-6344	150	53	∗	∗	NOUN
ejpam-6344	150	54	∗	∗	NOUN
ejpam-6344	150	55	∗	∗	NOUN
ejpam-6344	150	56	∗	∗	NOUN
ejpam-6344	150	57	∗	∗	NOUN
ejpam-6344	150	58	∗	∗	NOUN
ejpam-6344	150	59	∗	∗	NOUN
ejpam-6344	150	60	∗	∗	NOUN
ejpam-6344	150	61	∗	∗	NOUN
ejpam-6344	150	62	∗	∗	NOUN
ejpam-6344	150	63	∗	∗	NOUN
ejpam-6344	150	64	∗	∗	NOUN
ejpam-6344	150	65	∗	∗	NOUN
ejpam-6344	150	66	∗	∗	NOUN
ejpam-6344	150	67	∗	∗	NOUN
ejpam-6344	150	68	∗	∗	NOUN
ejpam-6344	150	69	∗	∗	NOUN
ejpam-6344	150	70	∗	∗	NOUN
ejpam-6344	150	71	∗	∗	NOUN
ejpam-6344	150	72	∗	∗	NOUN
ejpam-6344	150	73	∗	∗	NOUN
ejpam-6344	150	74	∗	∗	NOUN
ejpam-6344	150	75	∗	∗	NOUN
ejpam-6344	150	76	∗	∗	NOUN
ejpam-6344	150	77	∗	∗	NOUN
ejpam-6344	150	78	∗	∗	NOUN
ejpam-6344	150	79	∗	∗	NOUN
ejpam-6344	150	80	∗	∗	NOUN
ejpam-6344	150	81	∗	∗	NOUN
ejpam-6344	150	82	∗	∗	NOUN
ejpam-6344	150	83	eiαd2−d+1	eiαd2−d+1	PART
ejpam-6344	150	84	∗	∗	NOUN
ejpam-6344	150	85	∗	∗	NOUN
ejpam-6344	150	86	∗	∗	NOUN
ejpam-6344	150	87	∗	∗	NOUN
ejpam-6344	150	88	∗	∗	NOUN
ejpam-6344	150	89	∗	∗	NOUN
ejpam-6344	150	90	∗	∗	NOUN
ejpam-6344	150	91	∗	∗	NOUN
ejpam-6344	150	92	∗	∗	NOUN
ejpam-6344	150	93	∗	∗	NOUN
ejpam-6344	150	94	∗	∗	NOUN
ejpam-6344	150	95	∗	∗	NOUN
ejpam-6344	150	96	∗	∗	NOUN
ejpam-6344	150	97	∗	∗	NOUN
ejpam-6344	150	98	∗	∗	NOUN
ejpam-6344	150	99	∗	∗	NOUN
ejpam-6344	150	100	∗	∗	NOUN
ejpam-6344	150	101	∗	∗	NOUN
ejpam-6344	150	102	∗	∗	NOUN
ejpam-6344	150	103	eiαd2	eiαd2	NOUN
ejpam-6344	150	104			PUNCT
ejpam-6344	151	1	=	=	PUNCT
ejpam-6344	151	2			PROPN
ejpam-6344	151	3	x11	x11	PROPN
ejpam-6344	151	4	∗	∗	NOUN
ejpam-6344	151	5	∗	∗	NOUN
ejpam-6344	151	6	∗	∗	NOUN
ejpam-6344	151	7	∗	∗	NOUN
ejpam-6344	151	8	∗	∗	NOUN
ejpam-6344	151	9	∗	∗	PROPN
ejpam-6344	151	10	∗	∗	NOUN
ejpam-6344	151	11	xdd	xdd	PROPN
ejpam-6344	151	12	⊗	⊗	VERB
ejpam-6344	151	13			PROPN
ejpam-6344	151	14	y11	y11	NOUN
ejpam-6344	151	15	∗	∗	NOUN
ejpam-6344	151	16	∗	∗	NOUN
ejpam-6344	151	17	∗	∗	NOUN
ejpam-6344	151	18	∗	∗	NOUN
ejpam-6344	151	19	∗	∗	NOUN
ejpam-6344	151	20	∗	∗	NOUN
ejpam-6344	151	21	∗	∗	NOUN
ejpam-6344	151	22	ydd	ydd	VERB
ejpam-6344	151	23			PROPN
ejpam-6344	151	24	=	=	SYM
ejpam-6344	151	25			NOUN
ejpam-6344	151	26	x11y11	x11y11	PROPN
ejpam-6344	151	27	∗	∗	NOUN
ejpam-6344	151	28	∗	∗	NOUN
ejpam-6344	151	29	∗	∗	NOUN
ejpam-6344	151	30	∗	∗	NOUN
ejpam-6344	151	31	∗	∗	NOUN
ejpam-6344	151	32	∗	∗	NOUN
ejpam-6344	151	33	∗	∗	NOUN
ejpam-6344	151	34	∗	∗	NOUN
ejpam-6344	151	35	∗	∗	NOUN
ejpam-6344	151	36	∗	∗	NOUN
ejpam-6344	151	37	∗	∗	NOUN
ejpam-6344	151	38	∗	∗	NOUN
ejpam-6344	151	39	∗	∗	NOUN
ejpam-6344	151	40	∗	∗	NOUN
ejpam-6344	151	41	∗	∗	NOUN
ejpam-6344	151	42	∗	∗	NOUN
ejpam-6344	151	43	∗	∗	NOUN
ejpam-6344	151	44	∗	∗	NOUN
ejpam-6344	151	45	∗	∗	NOUN
ejpam-6344	151	46	x11ydd	x11ydd	PROPN
ejpam-6344	151	47	∗	∗	NOUN
ejpam-6344	151	48	∗	∗	NOUN
ejpam-6344	151	49	∗	∗	NOUN
ejpam-6344	151	50	∗	∗	NOUN
ejpam-6344	151	51	∗	∗	NOUN
ejpam-6344	151	52	∗	∗	NOUN
ejpam-6344	151	53	∗	∗	NOUN
ejpam-6344	151	54	∗	∗	NOUN
ejpam-6344	151	55	∗	∗	NOUN
ejpam-6344	151	56	∗	∗	NOUN
ejpam-6344	151	57	∗	∗	NOUN
ejpam-6344	151	58	∗	∗	NOUN
ejpam-6344	151	59	∗	∗	NOUN
ejpam-6344	151	60	∗	∗	NOUN
ejpam-6344	151	61	∗	∗	NOUN
ejpam-6344	151	62	∗	∗	NOUN
ejpam-6344	151	63	∗	∗	NOUN
ejpam-6344	151	64	∗	∗	NOUN
ejpam-6344	151	65	∗	∗	NOUN
ejpam-6344	151	66	∗	∗	NOUN
ejpam-6344	151	67	∗	∗	NOUN
ejpam-6344	151	68	∗	∗	NOUN
ejpam-6344	151	69	∗	∗	NOUN
ejpam-6344	151	70	∗	∗	NOUN
ejpam-6344	151	71	∗	∗	NOUN
ejpam-6344	151	72	∗	∗	NOUN
ejpam-6344	151	73	∗	∗	NOUN
ejpam-6344	151	74	∗	∗	NOUN
ejpam-6344	151	75	∗	∗	NOUN
ejpam-6344	151	76	∗	∗	NOUN
ejpam-6344	151	77	∗	∗	NOUN
ejpam-6344	151	78	∗	∗	NOUN
ejpam-6344	151	79	∗	∗	NOUN
ejpam-6344	151	80	∗	∗	NOUN
ejpam-6344	151	81	∗	∗	NOUN
ejpam-6344	151	82	∗	∗	NOUN
ejpam-6344	151	83	∗	∗	NOUN
ejpam-6344	151	84	∗	∗	NOUN
ejpam-6344	151	85	∗	∗	NOUN
ejpam-6344	151	86	xddy11	xddy11	PROPN
ejpam-6344	151	87	∗	∗	NOUN
ejpam-6344	151	88	∗	∗	NOUN
ejpam-6344	151	89	∗	∗	NOUN
ejpam-6344	151	90	∗	∗	NOUN
ejpam-6344	151	91	∗	∗	NOUN
ejpam-6344	151	92	∗	∗	NOUN
ejpam-6344	151	93	∗	∗	NOUN
ejpam-6344	151	94	∗	∗	NOUN
ejpam-6344	151	95	∗	∗	NOUN
ejpam-6344	151	96	∗	∗	NOUN
ejpam-6344	151	97	∗	∗	NOUN
ejpam-6344	151	98	∗	∗	NOUN
ejpam-6344	151	99	∗	∗	NOUN
ejpam-6344	151	100	∗	∗	NOUN
ejpam-6344	151	101	∗	∗	NOUN
ejpam-6344	151	102	∗	∗	NOUN
ejpam-6344	151	103	∗	∗	NOUN
ejpam-6344	151	104	∗	∗	NOUN
ejpam-6344	151	105	∗	∗	NOUN
ejpam-6344	151	106	xddydd	xddydd	NOUN
ejpam-6344	151	107			NOUN
ejpam-6344	151	108	this	this	PRON
ejpam-6344	151	109	completes	complete	VERB
ejpam-6344	151	110	the	the	DET
ejpam-6344	151	111	proof	proof	NOUN
ejpam-6344	151	112	.	.	PUNCT
ejpam-6344	152	1	remark	remark	VERB
ejpam-6344	152	2	4	4	NUM
ejpam-6344	152	3	.	.	PUNCT
ejpam-6344	153	1	the	the	DET
ejpam-6344	153	2	criterion	criterion	NOUN
ejpam-6344	153	3	in	in	ADP
ejpam-6344	153	4	theorem	theorem	ADJ
ejpam-6344	153	5	1	1	NUM
ejpam-6344	153	6	shows	show	VERB
ejpam-6344	153	7	that	that	SCONJ
ejpam-6344	153	8	αswap	αswap	NOUN
ejpam-6344	153	9	is	be	AUX
ejpam-6344	153	10	almost	almost	ADV
ejpam-6344	153	11	always	always	ADV
ejpam-6344	153	12	entangling	entangle	VERB
ejpam-6344	153	13	,	,	PUNCT
ejpam-6344	153	14	hence	hence	ADV
ejpam-6344	153	15	universal	universal	ADJ
ejpam-6344	153	16	.	.	PUNCT
ejpam-6344	154	1	this	this	PRON
ejpam-6344	154	2	includes	include	VERB
ejpam-6344	154	3	the	the	DET
ejpam-6344	154	4	gates	gate	NOUN
ejpam-6344	154	5	from	from	ADP
ejpam-6344	154	6	example	example	NOUN
ejpam-6344	154	7	1	1	NUM
ejpam-6344	154	8	(	(	PUNCT
ejpam-6344	154	9	except	except	SCONJ
ejpam-6344	154	10	for	for	ADP
ejpam-6344	154	11	x	x	SYM
ejpam-6344	154	12	=	=	SYM
ejpam-6344	154	13	1	1	NUM
ejpam-6344	154	14	)	)	PUNCT
ejpam-6344	154	15	and	and	CCONJ
ejpam-6344	154	16	example	example	NOUN
ejpam-6344	154	17	2	2	NUM
ejpam-6344	154	18	.	.	X
ejpam-6344	154	19	remark	remark	NOUN
ejpam-6344	154	20	5	5	NUM
ejpam-6344	154	21	.	.	PUNCT
ejpam-6344	154	22	to	to	PART
ejpam-6344	154	23	directly	directly	ADV
ejpam-6344	154	24	prove	prove	VERB
ejpam-6344	154	25	a	a	DET
ejpam-6344	154	26	2	2	NUM
ejpam-6344	154	27	-	-	PUNCT
ejpam-6344	154	28	qudit	qudit	NOUN
ejpam-6344	154	29	gate	gate	NOUN
ejpam-6344	154	30	g	g	PROPN
ejpam-6344	154	31	is	be	AUX
ejpam-6344	154	32	universal	universal	ADJ
ejpam-6344	154	33	,	,	PUNCT
ejpam-6344	154	34	one	one	PRON
ejpam-6344	154	35	must	must	AUX
ejpam-6344	154	36	show	show	VERB
ejpam-6344	154	37	that	that	SCONJ
ejpam-6344	154	38	the	the	DET
ejpam-6344	154	39	set	set	NOUN
ejpam-6344	154	40	containing	contain	VERB
ejpam-6344	154	41	g	g	NOUN
ejpam-6344	154	42	and	and	CCONJ
ejpam-6344	154	43	all	all	DET
ejpam-6344	154	44	1	1	NUM
ejpam-6344	154	45	-	-	PUNCT
ejpam-6344	154	46	qudit	qudit	NOUN
ejpam-6344	154	47	gates	gate	NOUN
ejpam-6344	154	48	can	can	AUX
ejpam-6344	154	49	generate	generate	VERB
ejpam-6344	154	50	all	all	DET
ejpam-6344	154	51	other	other	ADJ
ejpam-6344	154	52	qudit	qudit	NOUN
ejpam-6344	154	53	gates	gate	NOUN
ejpam-6344	154	54	.	.	PUNCT
ejpam-6344	155	1	proving	prove	VERB
ejpam-6344	155	2	this	this	PRON
ejpam-6344	155	3	directly	directly	ADV
ejpam-6344	155	4	is	be	AUX
ejpam-6344	155	5	not	not	PART
ejpam-6344	155	6	always	always	ADV
ejpam-6344	155	7	easy	easy	ADJ
ejpam-6344	155	8	,	,	PUNCT
ejpam-6344	155	9	even	even	ADV
ejpam-6344	155	10	in	in	ADP
ejpam-6344	155	11	dimension	dimension	NOUN
ejpam-6344	155	12	d	d	NOUN
ejpam-6344	155	13	=	=	SYM
ejpam-6344	155	14	2	2	X
ejpam-6344	155	15	.	.	PUNCT
ejpam-6344	156	1	this	this	PRON
ejpam-6344	156	2	is	be	AUX
ejpam-6344	156	3	why	why	SCONJ
ejpam-6344	156	4	,	,	PUNCT
ejpam-6344	156	5	in	in	ADP
ejpam-6344	156	6	the	the	DET
ejpam-6344	156	7	proof	proof	NOUN
ejpam-6344	156	8	of	of	ADP
ejpam-6344	156	9	theorem	theorem	NOUN
ejpam-6344	156	10	1	1	NUM
ejpam-6344	156	11	,	,	PUNCT
ejpam-6344	156	12	we	we	PRON
ejpam-6344	156	13	instead	instead	ADV
ejpam-6344	156	14	used	use	VERB
ejpam-6344	156	15	the	the	DET
ejpam-6344	156	16	powerful	powerful	ADJ
ejpam-6344	156	17	brylinskis	brylinski	NOUN
ejpam-6344	156	18	’	'	PUNCT
ejpam-6344	156	19	criterion	criterion	NOUN
ejpam-6344	156	20	[	[	X
ejpam-6344	156	21	30	30	NUM
ejpam-6344	156	22	]	]	PUNCT
ejpam-6344	156	23	and	and	CCONJ
ejpam-6344	156	24	the	the	DET
ejpam-6344	156	25	non	non	ADJ
ejpam-6344	156	26	-	-	ADJ
ejpam-6344	156	27	entangling	entangle	VERB
ejpam-6344	156	28	criterion	criterion	NOUN
ejpam-6344	156	29	from	from	ADP
ejpam-6344	156	30	[	[	X
ejpam-6344	156	31	26	26	NUM
ejpam-6344	156	32	]	]	PUNCT
ejpam-6344	156	33	.	.	PUNCT
ejpam-6344	157	1	however	however	ADV
ejpam-6344	157	2	,	,	PUNCT
ejpam-6344	157	3	below	below	ADP
ejpam-6344	157	4	we	we	PRON
ejpam-6344	157	5	illustrate	illustrate	VERB
ejpam-6344	157	6	a	a	DET
ejpam-6344	157	7	worked	worked	ADJ
ejpam-6344	157	8	example	example	NOUN
ejpam-6344	157	9	showing	show	VERB
ejpam-6344	157	10	that	that	SCONJ
ejpam-6344	157	11	αswap	αswap	NOUN
ejpam-6344	157	12	explicitly	explicitly	ADV
ejpam-6344	157	13	generates	generate	VERB
ejpam-6344	157	14	entanglement	entanglement	NOUN
ejpam-6344	157	15	,	,	PUNCT
ejpam-6344	157	16	i.e.	i.e.	X
ejpam-6344	157	17	,	,	PUNCT
ejpam-6344	157	18	turns	turn	VERB
ejpam-6344	157	19	an	an	DET
ejpam-6344	157	20	unentangled	unentangled	ADJ
ejpam-6344	157	21	state	state	NOUN
ejpam-6344	157	22	representation	representation	NOUN
ejpam-6344	157	23	into	into	ADP
ejpam-6344	157	24	an	an	DET
ejpam-6344	157	25	entangled	entangled	ADJ
ejpam-6344	157	26	one	one	NUM
ejpam-6344	157	27	.	.	PUNCT
ejpam-6344	158	1	example	example	NOUN
ejpam-6344	159	1	4	4	NUM
ejpam-6344	159	2	.	.	PUNCT
ejpam-6344	159	3	consider	consider	VERB
ejpam-6344	159	4	the	the	DET
ejpam-6344	159	5	following	follow	VERB
ejpam-6344	159	6	gate	gate	NOUN
ejpam-6344	159	7	for	for	ADP
ejpam-6344	159	8	d	d	PROPN
ejpam-6344	159	9	=	=	SYM
ejpam-6344	159	10	2	2	NUM
ejpam-6344	159	11	from	from	ADP
ejpam-6344	159	12	example	example	NOUN
ejpam-6344	159	13	2	2	NUM
ejpam-6344	159	14	:	:	PUNCT
ejpam-6344	159	15	αswap	αswap	NOUN
ejpam-6344	159	16	=	=	SYM
ejpam-6344	159	17			NUM
ejpam-6344	159	18	−1	−1	NOUN
ejpam-6344	159	19	0	0	NUM
ejpam-6344	159	20	0	0	NUM
ejpam-6344	159	21	0	0	NUM
ejpam-6344	159	22	0	0	NUM
ejpam-6344	159	23	0	0	NUM
ejpam-6344	160	1	−i	−i	NOUN
ejpam-6344	160	2	0	0	NUM
ejpam-6344	160	3	0	0	NUM
ejpam-6344	160	4	−1	−1	NOUN
ejpam-6344	160	5	0	0	NUM
ejpam-6344	160	6	0	0	NUM
ejpam-6344	160	7	0	0	NUM
ejpam-6344	160	8	0	0	NUM
ejpam-6344	160	9	0	0	NUM
ejpam-6344	161	1	i	i	PRON
ejpam-6344	161	2			VERB
ejpam-6344	161	3	a.	a.	NOUN
ejpam-6344	161	4	pourkia	pourkia	NOUN
ejpam-6344	161	5	/	/	SYM
ejpam-6344	161	6	eur	eur	PROPN
ejpam-6344	161	7	.	.	PUNCT
ejpam-6344	162	1	j.	j.	PROPN
ejpam-6344	162	2	pure	pure	PROPN
ejpam-6344	162	3	appl	appl	PROPN
ejpam-6344	162	4	.	.	PROPN
ejpam-6344	162	5	math	math	PROPN
ejpam-6344	162	6	,	,	PUNCT
ejpam-6344	162	7	18	18	NUM
ejpam-6344	162	8	(	(	PUNCT
ejpam-6344	162	9	3	3	NUM
ejpam-6344	162	10	)	)	PUNCT
ejpam-6344	162	11	(	(	PUNCT
ejpam-6344	162	12	2025	2025	NUM
ejpam-6344	162	13	)	)	PUNCT
ejpam-6344	162	14	,	,	PUNCT
ejpam-6344	162	15	6344	6344	NUM
ejpam-6344	162	16	10	10	NUM
ejpam-6344	162	17	of	of	ADP
ejpam-6344	162	18	14	14	NUM
ejpam-6344	162	19	if	if	SCONJ
ejpam-6344	162	20	we	we	PRON
ejpam-6344	162	21	apply	apply	VERB
ejpam-6344	162	22	this	this	DET
ejpam-6344	162	23	gate	gate	NOUN
ejpam-6344	162	24	to	to	ADP
ejpam-6344	162	25	the	the	DET
ejpam-6344	162	26	unentangled	unentangled	ADJ
ejpam-6344	162	27	state	state	NOUN
ejpam-6344	162	28	|ψ⟩	|ψ⟩	PROPN
ejpam-6344	162	29	=	=	SYM
ejpam-6344	162	30	1	1	NUM
ejpam-6344	162	31	2	2	NUM
ejpam-6344	162	32	(	(	PUNCT
ejpam-6344	162	33	|00⟩+	|00⟩+	PROPN
ejpam-6344	162	34	|01⟩+	|01⟩+	PROPN
ejpam-6344	162	35	|10⟩+	|10⟩+	PROPN
ejpam-6344	162	36	|11⟩	|11⟩	NOUN
ejpam-6344	162	37	)	)	PUNCT
ejpam-6344	162	38	,	,	PUNCT
ejpam-6344	162	39	the	the	DET
ejpam-6344	162	40	outcome	outcome	NOUN
ejpam-6344	162	41	is	be	AUX
ejpam-6344	162	42	the	the	DET
ejpam-6344	162	43	entangled	entangled	ADJ
ejpam-6344	162	44	state	state	NOUN
ejpam-6344	162	45	αswap|ψ⟩	αswap|ψ⟩	X
ejpam-6344	162	46	=	=	SYM
ejpam-6344	162	47	1	1	NUM
ejpam-6344	162	48	2	2	NUM
ejpam-6344	162	49	(	(	PUNCT
ejpam-6344	162	50	−|00⟩	−|00⟩	NOUN
ejpam-6344	162	51	−	−	PROPN
ejpam-6344	162	52	|01⟩	|01⟩	VERB
ejpam-6344	162	53	−	−	PROPN
ejpam-6344	162	54	i|10⟩+	i|10⟩+	ADJ
ejpam-6344	162	55	i|11⟩	i|11⟩	NOUN
ejpam-6344	162	56	)	)	PUNCT
ejpam-6344	162	57	.	.	PUNCT
ejpam-6344	163	1	3.2	3.2	NUM
ejpam-6344	163	2	.	.	PUNCT
ejpam-6344	163	3	αswap	αswap	PROPN
ejpam-6344	163	4	is	be	AUX
ejpam-6344	163	5	a	a	DET
ejpam-6344	163	6	solution	solution	NOUN
ejpam-6344	163	7	to	to	ADP
ejpam-6344	163	8	the	the	DET
ejpam-6344	163	9	constant	constant	ADJ
ejpam-6344	163	10	yang	yang	PROPN
ejpam-6344	163	11	–	–	PUNCT
ejpam-6344	163	12	baxter	baxter	PROPN
ejpam-6344	163	13	equation	equation	NOUN
ejpam-6344	163	14	theorem	theorem	VERB
ejpam-6344	163	15	2	2	NUM
ejpam-6344	163	16	.	.	X
ejpam-6344	164	1	for	for	ADP
ejpam-6344	164	2	any	any	DET
ejpam-6344	164	3	d	d	PROPN
ejpam-6344	164	4	≥	≥	NUM
ejpam-6344	164	5	2	2	NUM
ejpam-6344	164	6	,	,	PUNCT
ejpam-6344	164	7	the	the	DET
ejpam-6344	164	8	gate	gate	NOUN
ejpam-6344	164	9	r	r	NOUN
ejpam-6344	164	10	=	=	PUNCT
ejpam-6344	164	11	αswap	αswap	NOUN
ejpam-6344	164	12	from	from	ADP
ejpam-6344	164	13	definition	definition	NOUN
ejpam-6344	164	14	1	1	NUM
ejpam-6344	164	15	is	be	AUX
ejpam-6344	164	16	a	a	DET
ejpam-6344	164	17	solution	solution	NOUN
ejpam-6344	164	18	to	to	ADP
ejpam-6344	164	19	the	the	DET
ejpam-6344	164	20	yang	yang	PROPN
ejpam-6344	164	21	–	–	PUNCT
ejpam-6344	164	22	baxter	baxter	PROPN
ejpam-6344	164	23	equation	equation	NOUN
ejpam-6344	164	24	(	(	PUNCT
ejpam-6344	164	25	5	5	NUM
ejpam-6344	164	26	)	)	PUNCT
ejpam-6344	164	27	.	.	PUNCT
ejpam-6344	165	1	in	in	ADP
ejpam-6344	165	2	other	other	ADJ
ejpam-6344	165	3	words	word	NOUN
ejpam-6344	165	4	,	,	PUNCT
ejpam-6344	165	5	the	the	DET
ejpam-6344	165	6	gate	gate	NOUN
ejpam-6344	165	7	r̂	r̂	PROPN
ejpam-6344	165	8	=	=	SYM
ejpam-6344	165	9	(	(	PUNCT
ejpam-6344	165	10	αswap)s	αswap)s	PROPN
ejpam-6344	165	11	,	,	PUNCT
ejpam-6344	165	12	where	where	SCONJ
ejpam-6344	165	13	s	s	PROPN
ejpam-6344	165	14	denotes	denote	VERB
ejpam-6344	165	15	the	the	DET
ejpam-6344	165	16	usual	usual	ADJ
ejpam-6344	165	17	swap	swap	NOUN
ejpam-6344	165	18	gate	gate	NOUN
ejpam-6344	165	19	,	,	PUNCT
ejpam-6344	165	20	is	be	AUX
ejpam-6344	165	21	a	a	DET
ejpam-6344	165	22	solution	solution	NOUN
ejpam-6344	165	23	to	to	ADP
ejpam-6344	165	24	the	the	DET
ejpam-6344	165	25	yang	yang	PROPN
ejpam-6344	165	26	–	–	PUNCT
ejpam-6344	165	27	baxter	baxter	PROPN
ejpam-6344	165	28	equation	equation	NOUN
ejpam-6344	165	29	(	(	PUNCT
ejpam-6344	165	30	6	6	NUM
ejpam-6344	165	31	)	)	PUNCT
ejpam-6344	165	32	(	(	PUNCT
ejpam-6344	165	33	refer	refer	VERB
ejpam-6344	165	34	to	to	PART
ejpam-6344	165	35	remark	remark	VERB
ejpam-6344	165	36	1	1	NUM
ejpam-6344	165	37	)	)	PUNCT
ejpam-6344	165	38	.	.	PUNCT
ejpam-6344	166	1	proof	proof	NOUN
ejpam-6344	166	2	.	.	PUNCT
ejpam-6344	167	1	for	for	ADP
ejpam-6344	167	2	notational	notational	ADJ
ejpam-6344	167	3	simplicity	simplicity	NOUN
ejpam-6344	167	4	,	,	PUNCT
ejpam-6344	167	5	we	we	PRON
ejpam-6344	167	6	define	define	VERB
ejpam-6344	167	7	ai	ai	PROPN
ejpam-6344	167	8	=	=	PUNCT
ejpam-6344	167	9	eiαi	eiαi	NOUN
ejpam-6344	167	10	.	.	PUNCT
ejpam-6344	168	1	given	give	VERB
ejpam-6344	168	2	the	the	DET
ejpam-6344	168	3	straightforward	straightforward	ADJ
ejpam-6344	168	4	structure	structure	NOUN
ejpam-6344	168	5	of	of	ADP
ejpam-6344	168	6	αswap	αswap	NOUN
ejpam-6344	168	7	from	from	ADP
ejpam-6344	168	8	definition	definition	NOUN
ejpam-6344	168	9	1	1	NUM
ejpam-6344	168	10	,	,	PUNCT
ejpam-6344	168	11	specifically	specifically	ADV
ejpam-6344	168	12	that	that	SCONJ
ejpam-6344	168	13	the	the	DET
ejpam-6344	168	14	only	only	ADJ
ejpam-6344	168	15	nonzero	nonzero	ADJ
ejpam-6344	168	16	entries	entry	NOUN
ejpam-6344	168	17	of	of	ADP
ejpam-6344	168	18	αswap	αswap	NOUN
ejpam-6344	168	19	are	be	AUX
ejpam-6344	168	20	ai	ai	AUX
ejpam-6344	168	21	located	locate	VERB
ejpam-6344	168	22	at	at	ADP
ejpam-6344	168	23	row	row	NOUN
ejpam-6344	168	24	i	i	AUX
ejpam-6344	168	25	=	=	PUNCT
ejpam-6344	168	26	(	(	PUNCT
ejpam-6344	168	27	t	t	PROPN
ejpam-6344	168	28	−	−	NUM
ejpam-6344	168	29	1)d	1)d	NUM
ejpam-6344	168	30	+	+	SYM
ejpam-6344	168	31	s	s	NOUN
ejpam-6344	168	32	and	and	CCONJ
ejpam-6344	168	33	column	column	NOUN
ejpam-6344	168	34	j	j	PROPN
ejpam-6344	169	1	=	=	PUNCT
ejpam-6344	169	2	(	(	PUNCT
ejpam-6344	169	3	s	s	PROPN
ejpam-6344	169	4	−	−	PROPN
ejpam-6344	169	5	1)d	1)d	NUM
ejpam-6344	169	6	+	+	X
ejpam-6344	169	7	t	t	NOUN
ejpam-6344	169	8	with	with	ADP
ejpam-6344	169	9	1	1	NUM
ejpam-6344	169	10	≤	≤	NUM
ejpam-6344	169	11	t	t	NOUN
ejpam-6344	169	12	≤	≤	NUM
ejpam-6344	169	13	d	d	PROPN
ejpam-6344	169	14	and	and	CCONJ
ejpam-6344	169	15	1	1	NUM
ejpam-6344	169	16	≤	≤	NOUN
ejpam-6344	169	17	s	s	PART
ejpam-6344	169	18	≤	≤	NUM
ejpam-6344	169	19	d	d	NOUN
ejpam-6344	169	20	,	,	PUNCT
ejpam-6344	169	21	we	we	PRON
ejpam-6344	169	22	observe	observe	VERB
ejpam-6344	169	23	that	that	SCONJ
ejpam-6344	169	24	the	the	DET
ejpam-6344	169	25	only	only	ADJ
ejpam-6344	169	26	nonzero	nonzero	ADJ
ejpam-6344	169	27	blocks	block	NOUN
ejpam-6344	169	28	in	in	ADP
ejpam-6344	169	29	r12	r12	NOUN
ejpam-6344	169	30	=	=	SYM
ejpam-6344	169	31	αswap	αswap	NOUN
ejpam-6344	170	1	⊗	⊗	PROPN
ejpam-6344	170	2	i	i	PRON
ejpam-6344	170	3	are	be	AUX
ejpam-6344	170	4	of	of	ADP
ejpam-6344	170	5	the	the	DET
ejpam-6344	170	6	form	form	NOUN
ejpam-6344	170	7	diag(ai	diag(ai	ADJ
ejpam-6344	170	8	,	,	PUNCT
ejpam-6344	170	9	ai	ai	VERB
ejpam-6344	170	10	,	,	PUNCT
ejpam-6344	170	11	.	.	PUNCT
ejpam-6344	170	12	.	.	PUNCT
ejpam-6344	170	13	.	.	PUNCT
ejpam-6344	171	1	,	,	PUNCT
ejpam-6344	171	2	ai	ai	AUX
ejpam-6344	171	3	)	)	PUNCT
ejpam-6344	171	4	,	,	PUNCT
ejpam-6344	171	5	located	locate	VERB
ejpam-6344	171	6	at	at	ADP
ejpam-6344	171	7	the	the	DET
ejpam-6344	171	8	block	block	NOUN
ejpam-6344	171	9	positions	position	NOUN
ejpam-6344	171	10	indexed	index	VERB
ejpam-6344	171	11	by	by	ADP
ejpam-6344	171	12	i	i	PRON
ejpam-6344	171	13	=	=	PUNCT
ejpam-6344	172	1	(	(	PUNCT
ejpam-6344	172	2	t	t	PROPN
ejpam-6344	172	3	−	−	NUM
ejpam-6344	172	4	1)d	1)d	NUM
ejpam-6344	172	5	+	+	SYM
ejpam-6344	172	6	s	s	X
ejpam-6344	172	7	and	and	CCONJ
ejpam-6344	172	8	j	j	PROPN
ejpam-6344	173	1	=	=	PUNCT
ejpam-6344	173	2	(	(	PUNCT
ejpam-6344	173	3	s−	s−	PROPN
ejpam-6344	173	4	1)d+	1)d+	NUM
ejpam-6344	173	5	t	t	PROPN
ejpam-6344	173	6	,	,	PUNCT
ejpam-6344	173	7	where	where	SCONJ
ejpam-6344	173	8	1	1	NUM
ejpam-6344	173	9	≤	≤	NOUN
ejpam-6344	173	10	t	t	NOUN
ejpam-6344	173	11	≤	≤	NUM
ejpam-6344	173	12	d	d	PROPN
ejpam-6344	173	13	and	and	CCONJ
ejpam-6344	173	14	1	1	NUM
ejpam-6344	173	15	≤	≤	NOUN
ejpam-6344	173	16	s	s	PART
ejpam-6344	173	17	≤	≤	PROPN
ejpam-6344	173	18	d.	d.	NOUN
ejpam-6344	173	19	for	for	ADP
ejpam-6344	173	20	instance	instance	NOUN
ejpam-6344	173	21	,	,	PUNCT
ejpam-6344	173	22	when	when	SCONJ
ejpam-6344	173	23	d	d	PROPN
ejpam-6344	173	24	=	=	SYM
ejpam-6344	173	25	2	2	NUM
ejpam-6344	173	26	,	,	PUNCT
ejpam-6344	173	27	r12	r12	PROPN
ejpam-6344	173	28	takes	take	VERB
ejpam-6344	173	29	the	the	DET
ejpam-6344	173	30	form	form	NOUN
ejpam-6344	173	31	:	:	PUNCT
ejpam-6344	173	32	r12	r12	ADJ
ejpam-6344	173	33	=	=	SYM
ejpam-6344	173	34			ADJ
ejpam-6344	173	35	a1	a1	NOUN
ejpam-6344	173	36	0	0	NUM
ejpam-6344	173	37	0	0	NUM
ejpam-6344	173	38	0	0	NUM
ejpam-6344	173	39	0	0	NUM
ejpam-6344	173	40	0	0	NUM
ejpam-6344	173	41	0	0	NUM
ejpam-6344	173	42	0	0	SYM
ejpam-6344	173	43	0	0	NUM
ejpam-6344	173	44	a1	a1	NOUN
ejpam-6344	173	45	0	0	NUM
ejpam-6344	173	46	0	0	NUM
ejpam-6344	173	47	0	0	NUM
ejpam-6344	173	48	0	0	NUM
ejpam-6344	173	49	0	0	NUM
ejpam-6344	173	50	0	0	NUM
ejpam-6344	173	51	0	0	NUM
ejpam-6344	173	52	0	0	NUM
ejpam-6344	173	53	0	0	NUM
ejpam-6344	173	54	0	0	NUM
ejpam-6344	173	55	a2	a2	PROPN
ejpam-6344	173	56	0	0	NUM
ejpam-6344	173	57	0	0	NUM
ejpam-6344	173	58	0	0	NUM
ejpam-6344	173	59	0	0	NUM
ejpam-6344	173	60	0	0	NUM
ejpam-6344	173	61	0	0	NUM
ejpam-6344	173	62	0	0	NUM
ejpam-6344	173	63	0	0	NUM
ejpam-6344	173	64	a2	a2	PROPN
ejpam-6344	173	65	0	0	NUM
ejpam-6344	173	66	0	0	NUM
ejpam-6344	173	67	0	0	NUM
ejpam-6344	173	68	0	0	NUM
ejpam-6344	173	69	a3	a3	NOUN
ejpam-6344	173	70	0	0	NUM
ejpam-6344	173	71	0	0	NUM
ejpam-6344	173	72	0	0	NUM
ejpam-6344	173	73	0	0	NUM
ejpam-6344	173	74	0	0	NUM
ejpam-6344	173	75	0	0	NUM
ejpam-6344	173	76	0	0	NUM
ejpam-6344	173	77	0	0	NUM
ejpam-6344	173	78	a3	a3	NOUN
ejpam-6344	173	79	0	0	NUM
ejpam-6344	173	80	0	0	NUM
ejpam-6344	173	81	0	0	NUM
ejpam-6344	173	82	0	0	NUM
ejpam-6344	173	83	0	0	NUM
ejpam-6344	173	84	0	0	NUM
ejpam-6344	173	85	0	0	NUM
ejpam-6344	173	86	0	0	NUM
ejpam-6344	173	87	0	0	NUM
ejpam-6344	173	88	0	0	NUM
ejpam-6344	173	89	a4	a4	NOUN
ejpam-6344	173	90	0	0	NUM
ejpam-6344	173	91	0	0	NUM
ejpam-6344	173	92	0	0	NUM
ejpam-6344	173	93	0	0	NUM
ejpam-6344	173	94	0	0	NUM
ejpam-6344	173	95	0	0	NUM
ejpam-6344	173	96	0	0	NUM
ejpam-6344	173	97	0	0	NUM
ejpam-6344	173	98	a4	a4	NOUN
ejpam-6344	173	99			NOUN
ejpam-6344	173	100	similarly	similarly	ADV
ejpam-6344	173	101	,	,	PUNCT
ejpam-6344	173	102	the	the	DET
ejpam-6344	173	103	only	only	ADJ
ejpam-6344	173	104	nonzero	nonzero	ADJ
ejpam-6344	173	105	blocks	block	NOUN
ejpam-6344	173	106	in	in	ADP
ejpam-6344	173	107	r23	r23	NOUN
ejpam-6344	174	1	=	=	SYM
ejpam-6344	174	2	i	i	PRON
ejpam-6344	174	3	⊗	⊗	PROPN
ejpam-6344	174	4	αswap	αswap	PROPN
ejpam-6344	174	5	are	be	AUX
ejpam-6344	174	6	its	its	PRON
ejpam-6344	174	7	diagonal	diagonal	ADJ
ejpam-6344	174	8	blocks	block	NOUN
ejpam-6344	174	9	,	,	PUNCT
ejpam-6344	174	10	each	each	PRON
ejpam-6344	174	11	being	be	AUX
ejpam-6344	174	12	a	a	DET
ejpam-6344	174	13	copy	copy	NOUN
ejpam-6344	174	14	of	of	ADP
ejpam-6344	174	15	αswap	αswap	NOUN
ejpam-6344	174	16	.	.	PUNCT
ejpam-6344	175	1	for	for	ADP
ejpam-6344	175	2	example	example	NOUN
ejpam-6344	175	3	,	,	PUNCT
ejpam-6344	175	4	when	when	SCONJ
ejpam-6344	175	5	d	d	PROPN
ejpam-6344	175	6	=	=	SYM
ejpam-6344	175	7	2	2	NUM
ejpam-6344	175	8	,	,	PUNCT
ejpam-6344	175	9	r23	r23	NOUN
ejpam-6344	175	10	is	be	AUX
ejpam-6344	175	11	given	give	VERB
ejpam-6344	175	12	by	by	ADP
ejpam-6344	175	13	:	:	PUNCT
ejpam-6344	175	14	r23	r23	NOUN
ejpam-6344	175	15	=	=	SYM
ejpam-6344	175	16			ADJ
ejpam-6344	175	17	a1	a1	NOUN
ejpam-6344	175	18	0	0	NUM
ejpam-6344	175	19	0	0	NUM
ejpam-6344	175	20	0	0	NUM
ejpam-6344	175	21	0	0	NUM
ejpam-6344	175	22	0	0	NUM
ejpam-6344	175	23	0	0	NUM
ejpam-6344	175	24	0	0	NUM
ejpam-6344	175	25	0	0	NUM
ejpam-6344	175	26	0	0	NUM
ejpam-6344	175	27	a2	a2	PROPN
ejpam-6344	175	28	0	0	NUM
ejpam-6344	175	29	0	0	NUM
ejpam-6344	175	30	0	0	NUM
ejpam-6344	175	31	0	0	NUM
ejpam-6344	175	32	0	0	NUM
ejpam-6344	175	33	0	0	NUM
ejpam-6344	175	34	a3	a3	NOUN
ejpam-6344	175	35	0	0	NUM
ejpam-6344	175	36	0	0	NUM
ejpam-6344	175	37	0	0	NUM
ejpam-6344	175	38	0	0	NUM
ejpam-6344	175	39	0	0	NUM
ejpam-6344	175	40	0	0	NUM
ejpam-6344	175	41	0	0	NUM
ejpam-6344	175	42	0	0	NUM
ejpam-6344	175	43	0	0	NUM
ejpam-6344	175	44	a4	a4	NOUN
ejpam-6344	175	45	0	0	NUM
ejpam-6344	175	46	0	0	NUM
ejpam-6344	175	47	0	0	NUM
ejpam-6344	175	48	0	0	NUM
ejpam-6344	175	49	0	0	NUM
ejpam-6344	175	50	0	0	NUM
ejpam-6344	175	51	0	0	SYM
ejpam-6344	175	52	0	0	NUM
ejpam-6344	175	53	a1	a1	NOUN
ejpam-6344	175	54	0	0	NUM
ejpam-6344	175	55	0	0	NUM
ejpam-6344	175	56	0	0	NUM
ejpam-6344	175	57	0	0	NUM
ejpam-6344	175	58	0	0	NUM
ejpam-6344	175	59	0	0	NUM
ejpam-6344	175	60	0	0	NUM
ejpam-6344	175	61	0	0	NUM
ejpam-6344	175	62	0	0	NUM
ejpam-6344	175	63	a2	a2	PROPN
ejpam-6344	175	64	0	0	NUM
ejpam-6344	175	65	0	0	NUM
ejpam-6344	175	66	0	0	NUM
ejpam-6344	175	67	0	0	NUM
ejpam-6344	175	68	0	0	NUM
ejpam-6344	175	69	0	0	NUM
ejpam-6344	175	70	a3	a3	NOUN
ejpam-6344	175	71	0	0	NUM
ejpam-6344	175	72	0	0	NUM
ejpam-6344	175	73	0	0	NUM
ejpam-6344	175	74	0	0	NUM
ejpam-6344	175	75	0	0	NUM
ejpam-6344	175	76	0	0	NUM
ejpam-6344	175	77	0	0	NUM
ejpam-6344	175	78	0	0	NUM
ejpam-6344	175	79	0	0	NUM
ejpam-6344	175	80	a4	a4	NOUN
ejpam-6344	175	81			NOUN
ejpam-6344	175	82	recall	recall	VERB
ejpam-6344	175	83	the	the	DET
ejpam-6344	175	84	general	general	ADJ
ejpam-6344	175	85	identity	identity	NOUN
ejpam-6344	175	86	for	for	ADP
ejpam-6344	175	87	any	any	DET
ejpam-6344	175	88	three	three	NUM
ejpam-6344	175	89	matrices	matrix	NOUN
ejpam-6344	175	90	x	x	NOUN
ejpam-6344	175	91	,	,	PUNCT
ejpam-6344	175	92	y	y	PROPN
ejpam-6344	175	93	,	,	PUNCT
ejpam-6344	175	94	and	and	CCONJ
ejpam-6344	175	95	z	z	X
ejpam-6344	175	96	,	,	PUNCT
ejpam-6344	175	97	where	where	SCONJ
ejpam-6344	175	98	the	the	DET
ejpam-6344	175	99	matrix	matrix	NOUN
ejpam-6344	175	100	product	product	NOUN
ejpam-6344	175	101	is	be	AUX
ejpam-6344	175	102	defined	define	VERB
ejpam-6344	175	103	:	:	PUNCT
ejpam-6344	175	104	the	the	DET
ejpam-6344	175	105	(	(	PUNCT
ejpam-6344	175	106	i	i	NOUN
ejpam-6344	175	107	,	,	PUNCT
ejpam-6344	175	108	j)-entry	j)-entry	NOUN
ejpam-6344	175	109	of	of	ADP
ejpam-6344	175	110	their	their	PRON
ejpam-6344	175	111	product	product	NOUN
ejpam-6344	175	112	is	be	AUX
ejpam-6344	175	113	given	give	VERB
ejpam-6344	175	114	by	by	ADP
ejpam-6344	175	115	;	;	PUNCT
ejpam-6344	175	116	(	(	PUNCT
ejpam-6344	175	117	xy	xy	PROPN
ejpam-6344	175	118	z)i	z)i	PROPN
ejpam-6344	175	119	,	,	PUNCT
ejpam-6344	175	120	j	j	PROPN
ejpam-6344	176	1	=	=	SYM
ejpam-6344	176	2	∑	∑	PUNCT
ejpam-6344	176	3	k	k	PROPN
ejpam-6344	176	4	,	,	PUNCT
ejpam-6344	176	5	l	l	NOUN
ejpam-6344	176	6	(	(	PUNCT
ejpam-6344	176	7	x)i	x)i	ADV
ejpam-6344	176	8	,	,	PUNCT
ejpam-6344	176	9	k(y	k(y	PROPN
ejpam-6344	176	10	)	)	PUNCT
ejpam-6344	176	11	k	k	NOUN
ejpam-6344	176	12	,	,	PUNCT
ejpam-6344	176	13	l(z)l	l(z)l	PROPN
ejpam-6344	176	14	,	,	PUNCT
ejpam-6344	176	15	j	j	PROPN
ejpam-6344	176	16	(	(	PUNCT
ejpam-6344	176	17	9	9	NUM
ejpam-6344	176	18	)	)	PUNCT
ejpam-6344	176	19	a.	a.	NOUN
ejpam-6344	176	20	pourkia	pourkia	NOUN
ejpam-6344	176	21	/	/	SYM
ejpam-6344	176	22	eur	eur	PROPN
ejpam-6344	176	23	.	.	PUNCT
ejpam-6344	177	1	j.	j.	PROPN
ejpam-6344	177	2	pure	pure	PROPN
ejpam-6344	177	3	appl	appl	PROPN
ejpam-6344	177	4	.	.	PROPN
ejpam-6344	177	5	math	math	PROPN
ejpam-6344	177	6	,	,	PUNCT
ejpam-6344	177	7	18	18	NUM
ejpam-6344	177	8	(	(	PUNCT
ejpam-6344	177	9	3	3	NUM
ejpam-6344	177	10	)	)	PUNCT
ejpam-6344	177	11	(	(	PUNCT
ejpam-6344	177	12	2025	2025	NUM
ejpam-6344	177	13	)	)	PUNCT
ejpam-6344	177	14	,	,	PUNCT
ejpam-6344	177	15	6344	6344	NUM
ejpam-6344	177	16	11	11	NUM
ejpam-6344	177	17	of	of	ADP
ejpam-6344	177	18	14	14	NUM
ejpam-6344	177	19	using	use	VERB
ejpam-6344	177	20	equation	equation	NOUN
ejpam-6344	177	21	(	(	PUNCT
ejpam-6344	177	22	9	9	NUM
ejpam-6344	177	23	)	)	PUNCT
ejpam-6344	177	24	,	,	PUNCT
ejpam-6344	177	25	it	it	PRON
ejpam-6344	177	26	is	be	AUX
ejpam-6344	177	27	not	not	PART
ejpam-6344	177	28	very	very	ADV
ejpam-6344	177	29	difficult	difficult	ADJ
ejpam-6344	177	30	to	to	PART
ejpam-6344	177	31	verify	verify	VERB
ejpam-6344	177	32	that	that	PRON
ejpam-6344	177	33	for	for	ADP
ejpam-6344	177	34	r	r	NOUN
ejpam-6344	177	35	=	=	SYM
ejpam-6344	177	36	αswap	αswap	NOUN
ejpam-6344	177	37	,	,	PUNCT
ejpam-6344	177	38	both	both	DET
ejpam-6344	177	39	sides	side	NOUN
ejpam-6344	177	40	of	of	ADP
ejpam-6344	177	41	equation	equation	NOUN
ejpam-6344	177	42	(	(	PUNCT
ejpam-6344	177	43	5	5	NUM
ejpam-6344	177	44	)	)	PUNCT
ejpam-6344	177	45	are	be	AUX
ejpam-6344	177	46	equal	equal	ADJ
ejpam-6344	177	47	,	,	PUNCT
ejpam-6344	177	48	i.e.	i.e.	X
ejpam-6344	177	49	,	,	PUNCT
ejpam-6344	177	50	r23r12r23	r23r12r23	PROPN
ejpam-6344	177	51	=	=	SYM
ejpam-6344	177	52	r12r23r12	r12r23r12	PROPN
ejpam-6344	177	53	.	.	PUNCT
ejpam-6344	178	1	for	for	ADP
ejpam-6344	178	2	example	example	NOUN
ejpam-6344	178	3	,	,	PUNCT
ejpam-6344	178	4	when	when	SCONJ
ejpam-6344	178	5	d	d	PROPN
ejpam-6344	178	6	=	=	SYM
ejpam-6344	178	7	2	2	NUM
ejpam-6344	178	8	,	,	PUNCT
ejpam-6344	178	9	both	both	DET
ejpam-6344	178	10	sides	side	NOUN
ejpam-6344	178	11	of	of	ADP
ejpam-6344	178	12	equation	equation	NOUN
ejpam-6344	178	13	(	(	PUNCT
ejpam-6344	178	14	5	5	X
ejpam-6344	178	15	)	)	PUNCT
ejpam-6344	178	16	evaluate	evaluate	VERB
ejpam-6344	178	17	to:	to:	NOUN
ejpam-6344	178	18	a31	a31	NOUN
ejpam-6344	178	19	0	0	NUM
ejpam-6344	178	20	0	0	NUM
ejpam-6344	178	21	0	0	NUM
ejpam-6344	178	22	0	0	NUM
ejpam-6344	178	23	0	0	NUM
ejpam-6344	178	24	0	0	NUM
ejpam-6344	178	25	0	0	NUM
ejpam-6344	178	26	0	0	NUM
ejpam-6344	178	27	0	0	NUM
ejpam-6344	178	28	0	0	NUM
ejpam-6344	178	29	0	0	NUM
ejpam-6344	179	1	a1a	a1a	PROPN
ejpam-6344	179	2	2	2	NUM
ejpam-6344	179	3	2	2	NUM
ejpam-6344	179	4	0	0	NUM
ejpam-6344	179	5	0	0	NUM
ejpam-6344	179	6	0	0	NUM
ejpam-6344	179	7	0	0	NUM
ejpam-6344	179	8	0	0	NUM
ejpam-6344	180	1	a1a2a3	a1a2a3	VERB
ejpam-6344	180	2	0	0	NUM
ejpam-6344	180	3	0	0	NUM
ejpam-6344	180	4	0	0	NUM
ejpam-6344	180	5	0	0	NUM
ejpam-6344	180	6	0	0	NUM
ejpam-6344	180	7	0	0	NUM
ejpam-6344	180	8	0	0	NUM
ejpam-6344	180	9	0	0	NUM
ejpam-6344	180	10	0	0	NUM
ejpam-6344	180	11	0	0	NUM
ejpam-6344	180	12	0	0	NUM
ejpam-6344	181	1	a22a4	a22a4	ADP
ejpam-6344	181	2	0	0	NUM
ejpam-6344	181	3	0	0	NUM
ejpam-6344	181	4	a1a	a1a	PROPN
ejpam-6344	181	5	2	2	NUM
ejpam-6344	181	6	3	3	NUM
ejpam-6344	181	7	0	0	NUM
ejpam-6344	181	8	0	0	NUM
ejpam-6344	181	9	0	0	NUM
ejpam-6344	181	10	0	0	NUM
ejpam-6344	181	11	0	0	NUM
ejpam-6344	181	12	0	0	NUM
ejpam-6344	181	13	0	0	NUM
ejpam-6344	181	14	0	0	NUM
ejpam-6344	181	15	0	0	NUM
ejpam-6344	181	16	0	0	NUM
ejpam-6344	181	17	0	0	NUM
ejpam-6344	181	18	a2a3a4	a2a3a4	NOUN
ejpam-6344	181	19	0	0	NUM
ejpam-6344	181	20	0	0	NUM
ejpam-6344	181	21	0	0	NUM
ejpam-6344	181	22	0	0	NUM
ejpam-6344	181	23	0	0	NUM
ejpam-6344	181	24	a23a4	a23a4	NOUN
ejpam-6344	181	25	0	0	NUM
ejpam-6344	181	26	0	0	NUM
ejpam-6344	181	27	0	0	NUM
ejpam-6344	181	28	0	0	NUM
ejpam-6344	181	29	0	0	NUM
ejpam-6344	181	30	0	0	NUM
ejpam-6344	181	31	0	0	NUM
ejpam-6344	181	32	0	0	NUM
ejpam-6344	181	33	0	0	NUM
ejpam-6344	181	34	0	0	NUM
ejpam-6344	181	35	0	0	NUM
ejpam-6344	181	36	a34	a34	NOUN
ejpam-6344	181	37			PROPN
ejpam-6344	181	38	this	this	PRON
ejpam-6344	181	39	completes	complete	VERB
ejpam-6344	181	40	the	the	DET
ejpam-6344	181	41	proof	proof	NOUN
ejpam-6344	181	42	.	.	PUNCT
ejpam-6344	182	1	remark	remark	VERB
ejpam-6344	182	2	6	6	NUM
ejpam-6344	182	3	.	.	PUNCT
ejpam-6344	183	1	it	it	PRON
ejpam-6344	183	2	is	be	AUX
ejpam-6344	183	3	clear	clear	ADJ
ejpam-6344	183	4	from	from	ADP
ejpam-6344	183	5	the	the	DET
ejpam-6344	183	6	above	above	ADJ
ejpam-6344	183	7	proof	proof	NOUN
ejpam-6344	183	8	that	that	SCONJ
ejpam-6344	183	9	the	the	DET
ejpam-6344	183	10	result	result	NOUN
ejpam-6344	183	11	of	of	ADP
ejpam-6344	183	12	theorem	theorem	ADJ
ejpam-6344	183	13	2	2	NUM
ejpam-6344	183	14	holds	hold	VERB
ejpam-6344	183	15	for	for	ADP
ejpam-6344	183	16	any	any	DET
ejpam-6344	183	17	arbitrary	arbitrary	ADJ
ejpam-6344	183	18	set	set	NOUN
ejpam-6344	183	19	of	of	ADP
ejpam-6344	183	20	complex	complex	ADJ
ejpam-6344	183	21	numbers	number	NOUN
ejpam-6344	183	22	a1	a1	NOUN
ejpam-6344	183	23	,	,	PUNCT
ejpam-6344	183	24	a2	a2	PROPN
ejpam-6344	183	25	,	,	PUNCT
ejpam-6344	183	26	·	·	PUNCT
ejpam-6344	183	27	·	·	PUNCT
ejpam-6344	183	28	·	·	PUNCT
ejpam-6344	183	29	,	,	PUNCT
ejpam-6344	183	30	ad	ad	NOUN
ejpam-6344	183	31	.	.	PUNCT
ejpam-6344	184	1	examples	example	NOUN
ejpam-6344	184	2	of	of	ADP
ejpam-6344	184	3	such	such	ADJ
ejpam-6344	184	4	solutions	solution	NOUN
ejpam-6344	184	5	include	include	VERB
ejpam-6344	184	6	(	(	PUNCT
ejpam-6344	184	7	but	but	CCONJ
ejpam-6344	184	8	are	be	AUX
ejpam-6344	184	9	not	not	PART
ejpam-6344	184	10	limited	limit	VERB
ejpam-6344	184	11	to	to	ADP
ejpam-6344	184	12	)	)	PUNCT
ejpam-6344	184	13	the	the	DET
ejpam-6344	184	14	gates	gate	NOUN
ejpam-6344	184	15	from	from	ADP
ejpam-6344	184	16	examples	example	NOUN
ejpam-6344	184	17	1	1	NUM
ejpam-6344	184	18	,	,	PUNCT
ejpam-6344	184	19	2	2	NUM
ejpam-6344	184	20	,	,	PUNCT
ejpam-6344	184	21	and	and	CCONJ
ejpam-6344	184	22	3	3	X
ejpam-6344	184	23	.	.	PUNCT
ejpam-6344	185	1	in	in	ADP
ejpam-6344	185	2	what	what	PRON
ejpam-6344	185	3	follows	follow	VERB
ejpam-6344	185	4	,	,	PUNCT
ejpam-6344	185	5	we	we	PRON
ejpam-6344	185	6	present	present	VERB
ejpam-6344	185	7	another	another	DET
ejpam-6344	185	8	simple	simple	ADJ
ejpam-6344	185	9	but	but	CCONJ
ejpam-6344	185	10	interesting	interesting	ADJ
ejpam-6344	185	11	example	example	NOUN
ejpam-6344	185	12	.	.	PUNCT
ejpam-6344	186	1	example	example	NOUN
ejpam-6344	187	1	5	5	NUM
ejpam-6344	187	2	.	.	X
ejpam-6344	188	1	for	for	ADP
ejpam-6344	188	2	this	this	DET
ejpam-6344	188	3	example	example	NOUN
ejpam-6344	188	4	,	,	PUNCT
ejpam-6344	188	5	we	we	PRON
ejpam-6344	188	6	let	let	VERB
ejpam-6344	188	7	αi	αi	PRON
ejpam-6344	188	8	=	=	PUNCT
ejpam-6344	188	9	0	0	PUNCT
ejpam-6344	188	10	when	when	SCONJ
ejpam-6344	188	11	i	i	PRON
ejpam-6344	188	12	=	=	PRON
ejpam-6344	188	13	(	(	PUNCT
ejpam-6344	188	14	t	t	PROPN
ejpam-6344	188	15	−	−	NUM
ejpam-6344	188	16	1)d	1)d	NUM
ejpam-6344	188	17	+	+	SYM
ejpam-6344	188	18	t	t	PROPN
ejpam-6344	188	19	for	for	ADP
ejpam-6344	188	20	1	1	NUM
ejpam-6344	188	21	≤	≤	NOUN
ejpam-6344	188	22	t	t	NOUN
ejpam-6344	188	23	≤	≤	NUM
ejpam-6344	188	24	d	d	PROPN
ejpam-6344	188	25	,	,	PUNCT
ejpam-6344	188	26	and	and	CCONJ
ejpam-6344	188	27	otherwise	otherwise	ADV
ejpam-6344	188	28	,	,	PUNCT
ejpam-6344	188	29	if	if	SCONJ
ejpam-6344	188	30	i	i	PRON
ejpam-6344	188	31	is	be	AUX
ejpam-6344	188	32	even	even	ADV
ejpam-6344	188	33	then	then	ADV
ejpam-6344	188	34	αi	αi	VERB
ejpam-6344	188	35	=	=	SYM
ejpam-6344	188	36	0	0	NUM
ejpam-6344	188	37	,	,	PUNCT
ejpam-6344	188	38	and	and	CCONJ
ejpam-6344	188	39	if	if	SCONJ
ejpam-6344	188	40	i	i	PRON
ejpam-6344	188	41	is	be	AUX
ejpam-6344	188	42	odd	odd	ADJ
ejpam-6344	188	43	then	then	ADV
ejpam-6344	188	44	αi	αi	VERB
ejpam-6344	188	45	=	=	SYM
ejpam-6344	189	1	π	π	X
ejpam-6344	189	2	.	.	PUNCT
ejpam-6344	190	1	below	below	ADV
ejpam-6344	190	2	we	we	PRON
ejpam-6344	190	3	illustrate	illustrate	VERB
ejpam-6344	190	4	this	this	DET
ejpam-6344	190	5	example	example	NOUN
ejpam-6344	190	6	for	for	ADP
ejpam-6344	190	7	dimensions	dimension	NOUN
ejpam-6344	190	8	two	two	NUM
ejpam-6344	190	9	and	and	CCONJ
ejpam-6344	190	10	three	three	NUM
ejpam-6344	190	11	.	.	PUNCT
ejpam-6344	191	1	αswap	αswap	NOUN
ejpam-6344	191	2	=	=	SYM
ejpam-6344	191	3			ADJ
ejpam-6344	191	4	1	1	NUM
ejpam-6344	191	5	0	0	NUM
ejpam-6344	191	6	0	0	NUM
ejpam-6344	191	7	0	0	NUM
ejpam-6344	191	8	0	0	NUM
ejpam-6344	191	9	0	0	NUM
ejpam-6344	191	10	1	1	NUM
ejpam-6344	191	11	0	0	NUM
ejpam-6344	191	12	0	0	NUM
ejpam-6344	191	13	−1	−1	NOUN
ejpam-6344	191	14	0	0	NUM
ejpam-6344	191	15	0	0	NUM
ejpam-6344	191	16	0	0	NUM
ejpam-6344	191	17	0	0	NUM
ejpam-6344	191	18	0	0	NUM
ejpam-6344	191	19	1	1	NUM
ejpam-6344	191	20			NOUN
ejpam-6344	191	21	αswap	αswap	NOUN
ejpam-6344	191	22	=	=	PUNCT
ejpam-6344	191	23			VERB
ejpam-6344	191	24	1	1	NUM
ejpam-6344	191	25	0	0	NUM
ejpam-6344	191	26	0	0	NUM
ejpam-6344	191	27	0	0	NUM
ejpam-6344	191	28	0	0	NUM
ejpam-6344	191	29	0	0	NUM
ejpam-6344	191	30	0	0	NUM
ejpam-6344	191	31	0	0	NUM
ejpam-6344	191	32	0	0	NUM
ejpam-6344	191	33	0	0	NUM
ejpam-6344	191	34	0	0	NUM
ejpam-6344	191	35	0	0	NUM
ejpam-6344	191	36	1	1	NUM
ejpam-6344	191	37	0	0	NUM
ejpam-6344	191	38	0	0	NUM
ejpam-6344	191	39	0	0	NUM
ejpam-6344	191	40	0	0	NUM
ejpam-6344	191	41	0	0	NUM
ejpam-6344	191	42	0	0	NUM
ejpam-6344	191	43	0	0	NUM
ejpam-6344	191	44	0	0	NUM
ejpam-6344	191	45	0	0	NUM
ejpam-6344	191	46	0	0	NUM
ejpam-6344	191	47	0	0	NUM
ejpam-6344	191	48	−1	−1	NOUN
ejpam-6344	191	49	0	0	NUM
ejpam-6344	191	50	0	0	NUM
ejpam-6344	191	51	0	0	NUM
ejpam-6344	191	52	1	1	NUM
ejpam-6344	191	53	0	0	NUM
ejpam-6344	191	54	0	0	NUM
ejpam-6344	191	55	0	0	NUM
ejpam-6344	191	56	0	0	NUM
ejpam-6344	191	57	0	0	NUM
ejpam-6344	191	58	0	0	NUM
ejpam-6344	191	59	0	0	NUM
ejpam-6344	191	60	0	0	NUM
ejpam-6344	191	61	0	0	NUM
ejpam-6344	191	62	0	0	NUM
ejpam-6344	191	63	0	0	NUM
ejpam-6344	191	64	1	1	NUM
ejpam-6344	191	65	0	0	NUM
ejpam-6344	191	66	0	0	NUM
ejpam-6344	191	67	0	0	NUM
ejpam-6344	191	68	0	0	NUM
ejpam-6344	191	69	0	0	NUM
ejpam-6344	191	70	0	0	NUM
ejpam-6344	191	71	0	0	NUM
ejpam-6344	191	72	0	0	NUM
ejpam-6344	191	73	0	0	NUM
ejpam-6344	191	74	0	0	NUM
ejpam-6344	191	75	0	0	NUM
ejpam-6344	192	1	1	1	NUM
ejpam-6344	192	2	0	0	NUM
ejpam-6344	192	3	0	0	NUM
ejpam-6344	192	4	0	0	NUM
ejpam-6344	192	5	−1	−1	NOUN
ejpam-6344	192	6	0	0	NUM
ejpam-6344	192	7	0	0	NUM
ejpam-6344	192	8	0	0	NUM
ejpam-6344	192	9	0	0	NUM
ejpam-6344	192	10	0	0	NUM
ejpam-6344	192	11	0	0	NUM
ejpam-6344	192	12	0	0	NUM
ejpam-6344	192	13	0	0	NUM
ejpam-6344	192	14	0	0	NUM
ejpam-6344	192	15	0	0	NUM
ejpam-6344	192	16	0	0	NUM
ejpam-6344	192	17	1	1	NUM
ejpam-6344	192	18	0	0	NUM
ejpam-6344	192	19	0	0	NUM
ejpam-6344	192	20	0	0	NUM
ejpam-6344	192	21	0	0	NUM
ejpam-6344	192	22	0	0	NUM
ejpam-6344	192	23	0	0	NUM
ejpam-6344	192	24	0	0	NUM
ejpam-6344	192	25	0	0	NUM
ejpam-6344	192	26	0	0	NUM
ejpam-6344	192	27	0	0	NUM
ejpam-6344	192	28	0	0	NUM
ejpam-6344	192	29	1	1	NUM
ejpam-6344	192	30			NOUN
ejpam-6344	192	31	4	4	NUM
ejpam-6344	192	32	.	.	PUNCT
ejpam-6344	192	33	concluding	conclude	VERB
ejpam-6344	192	34	remarks	remark	NOUN
ejpam-6344	192	35	due	due	ADP
ejpam-6344	192	36	to	to	ADP
ejpam-6344	192	37	the	the	DET
ejpam-6344	192	38	advantages	advantage	NOUN
ejpam-6344	192	39	of	of	ADP
ejpam-6344	192	40	qudit	qudit	NOUN
ejpam-6344	192	41	-	-	PUNCT
ejpam-6344	192	42	based	base	VERB
ejpam-6344	192	43	computing	computing	NOUN
ejpam-6344	192	44	(	(	PUNCT
ejpam-6344	192	45	d	d	X
ejpam-6344	192	46	>	>	X
ejpam-6344	192	47	2	2	NUM
ejpam-6344	192	48	)	)	PUNCT
ejpam-6344	192	49	compared	compare	VERB
ejpam-6344	192	50	to	to	ADP
ejpam-6344	192	51	qubit	qubit	NOUN
ejpam-6344	192	52	-	-	PUNCT
ejpam-6344	192	53	based	base	VERB
ejpam-6344	192	54	computing	computing	NOUN
ejpam-6344	192	55	(	(	PUNCT
ejpam-6344	192	56	d	d	NOUN
ejpam-6344	192	57	=	=	SYM
ejpam-6344	192	58	2	2	NUM
ejpam-6344	192	59	)	)	PUNCT
ejpam-6344	192	60	,	,	PUNCT
ejpam-6344	192	61	there	there	PRON
ejpam-6344	192	62	has	have	AUX
ejpam-6344	192	63	been	be	AUX
ejpam-6344	192	64	an	an	DET
ejpam-6344	192	65	ever	ever	ADV
ejpam-6344	192	66	-	-	PUNCT
ejpam-6344	192	67	increasing	increase	VERB
ejpam-6344	192	68	interest	interest	NOUN
ejpam-6344	192	69	in	in	ADP
ejpam-6344	192	70	the	the	DET
ejpam-6344	192	71	applications	application	NOUN
ejpam-6344	192	72	of	of	ADP
ejpam-6344	192	73	d	d	NOUN
ejpam-6344	192	74	-	-	PUNCT
ejpam-6344	192	75	level	level	NOUN
ejpam-6344	192	76	a.	a.	NOUN
ejpam-6344	192	77	pourkia	pourkia	NOUN
ejpam-6344	192	78	/	/	SYM
ejpam-6344	192	79	eur	eur	PROPN
ejpam-6344	192	80	.	.	PUNCT
ejpam-6344	193	1	j.	j.	PROPN
ejpam-6344	193	2	pure	pure	PROPN
ejpam-6344	193	3	appl	appl	PROPN
ejpam-6344	193	4	.	.	PROPN
ejpam-6344	193	5	math	math	PROPN
ejpam-6344	193	6	,	,	PUNCT
ejpam-6344	193	7	18	18	NUM
ejpam-6344	193	8	(	(	PUNCT
ejpam-6344	193	9	3	3	NUM
ejpam-6344	193	10	)	)	PUNCT
ejpam-6344	193	11	(	(	PUNCT
ejpam-6344	193	12	2025	2025	NUM
ejpam-6344	193	13	)	)	PUNCT
ejpam-6344	193	14	,	,	PUNCT
ejpam-6344	193	15	6344	6344	NUM
ejpam-6344	193	16	12	12	NUM
ejpam-6344	193	17	of	of	ADP
ejpam-6344	193	18	14	14	NUM
ejpam-6344	193	19	qudits	qudit	NOUN
ejpam-6344	193	20	in	in	ADP
ejpam-6344	193	21	quantum	quantum	NOUN
ejpam-6344	193	22	computing	computing	NOUN
ejpam-6344	193	23	and	and	CCONJ
ejpam-6344	193	24	quantum	quantum	NOUN
ejpam-6344	193	25	information	information	NOUN
ejpam-6344	193	26	in	in	ADP
ejpam-6344	193	27	recent	recent	ADJ
ejpam-6344	193	28	decades	decade	NOUN
ejpam-6344	193	29	.	.	PUNCT
ejpam-6344	194	1	unitary	unitary	ADJ
ejpam-6344	194	2	solutions	solution	NOUN
ejpam-6344	194	3	to	to	ADP
ejpam-6344	194	4	the	the	DET
ejpam-6344	194	5	yang	yang	PROPN
ejpam-6344	194	6	–	–	PUNCT
ejpam-6344	194	7	baxter	baxter	PROPN
ejpam-6344	194	8	equation	equation	NOUN
ejpam-6344	194	9	(	(	PUNCT
ejpam-6344	194	10	5	5	X
ejpam-6344	194	11	)	)	PUNCT
ejpam-6344	194	12	are	be	AUX
ejpam-6344	194	13	well	well	ADV
ejpam-6344	194	14	-	-	PUNCT
ejpam-6344	194	15	known	know	VERB
ejpam-6344	194	16	candidates	candidate	NOUN
ejpam-6344	194	17	for	for	ADP
ejpam-6344	194	18	(	(	PUNCT
ejpam-6344	194	19	universal	universal	ADJ
ejpam-6344	194	20	)	)	PUNCT
ejpam-6344	194	21	quantum	quantum	ADJ
ejpam-6344	194	22	logic	logic	NOUN
ejpam-6344	194	23	gates	gate	NOUN
ejpam-6344	194	24	.	.	PUNCT
ejpam-6344	195	1	on	on	ADP
ejpam-6344	195	2	the	the	DET
ejpam-6344	195	3	other	other	ADJ
ejpam-6344	195	4	hand	hand	NOUN
ejpam-6344	195	5	,	,	PUNCT
ejpam-6344	195	6	the	the	DET
ejpam-6344	195	7	search	search	NOUN
ejpam-6344	195	8	for	for	ADP
ejpam-6344	195	9	new	new	ADJ
ejpam-6344	195	10	solutions	solution	NOUN
ejpam-6344	195	11	to	to	ADP
ejpam-6344	195	12	the	the	DET
ejpam-6344	195	13	yang	yang	PROPN
ejpam-6344	195	14	–	–	PUNCT
ejpam-6344	195	15	baxter	baxter	NOUN
ejpam-6344	195	16	equation	equation	NOUN
ejpam-6344	195	17	or	or	CCONJ
ejpam-6344	195	18	its	its	PRON
ejpam-6344	195	19	applications	application	NOUN
ejpam-6344	195	20	is	be	AUX
ejpam-6344	195	21	a	a	DET
ejpam-6344	195	22	common	common	ADJ
ejpam-6344	195	23	endeavor	endeavor	NOUN
ejpam-6344	195	24	in	in	ADP
ejpam-6344	195	25	both	both	DET
ejpam-6344	195	26	mathematics	mathematic	NOUN
ejpam-6344	195	27	and	and	CCONJ
ejpam-6344	195	28	physics	physic	NOUN
ejpam-6344	195	29	.	.	PUNCT
ejpam-6344	196	1	in	in	ADP
ejpam-6344	196	2	the	the	DET
ejpam-6344	196	3	present	present	ADJ
ejpam-6344	196	4	paper	paper	NOUN
ejpam-6344	196	5	,	,	PUNCT
ejpam-6344	196	6	we	we	PRON
ejpam-6344	196	7	introduce	introduce	VERB
ejpam-6344	196	8	an	an	DET
ejpam-6344	196	9	infinite	infinite	ADJ
ejpam-6344	196	10	family	family	NOUN
ejpam-6344	196	11	of	of	ADP
ejpam-6344	196	12	universal	universal	ADJ
ejpam-6344	196	13	quantum	quantum	ADJ
ejpam-6344	196	14	logic	logic	NOUN
ejpam-6344	196	15	gates	gate	NOUN
ejpam-6344	196	16	,	,	PUNCT
ejpam-6344	196	17	αswap	αswap	NOUN
ejpam-6344	196	18	which	which	PRON
ejpam-6344	196	19	,	,	PUNCT
ejpam-6344	196	20	on	on	ADP
ejpam-6344	196	21	one	one	NUM
ejpam-6344	196	22	hand	hand	NOUN
ejpam-6344	196	23	,	,	PUNCT
ejpam-6344	196	24	includes	include	VERB
ejpam-6344	196	25	the	the	DET
ejpam-6344	196	26	usual	usual	ADJ
ejpam-6344	196	27	swap	swap	NOUN
ejpam-6344	196	28	and	and	CCONJ
ejpam-6344	196	29	iswap	iswap	NOUN
ejpam-6344	196	30	gates	gate	NOUN
ejpam-6344	196	31	extended	extend	VERB
ejpam-6344	196	32	to	to	ADP
ejpam-6344	196	33	all	all	DET
ejpam-6344	196	34	dimensions	dimension	NOUN
ejpam-6344	196	35	d	d	X
ejpam-6344	196	36	≥	≥	PROPN
ejpam-6344	196	37	2	2	NUM
ejpam-6344	196	38	,	,	PUNCT
ejpam-6344	196	39	along	along	ADP
ejpam-6344	196	40	with	with	ADP
ejpam-6344	196	41	previously	previously	ADV
ejpam-6344	196	42	found	find	VERB
ejpam-6344	196	43	generalizations	generalization	NOUN
ejpam-6344	196	44	.	.	PUNCT
ejpam-6344	197	1	on	on	ADP
ejpam-6344	197	2	the	the	DET
ejpam-6344	197	3	other	other	ADJ
ejpam-6344	197	4	hand	hand	NOUN
ejpam-6344	197	5	,	,	PUNCT
ejpam-6344	197	6	it	it	PRON
ejpam-6344	197	7	provides	provide	VERB
ejpam-6344	197	8	unitary	unitary	ADJ
ejpam-6344	197	9	solutions	solution	NOUN
ejpam-6344	197	10	to	to	ADP
ejpam-6344	197	11	the	the	DET
ejpam-6344	197	12	constant	constant	ADJ
ejpam-6344	197	13	yang	yang	PROPN
ejpam-6344	197	14	–	–	PUNCT
ejpam-6344	197	15	baxter	baxter	PROPN
ejpam-6344	197	16	equation	equation	NOUN
ejpam-6344	197	17	.	.	PUNCT
ejpam-6344	198	1	the	the	DET
ejpam-6344	198	2	α	α	NOUN
ejpam-6344	198	3	in	in	ADP
ejpam-6344	198	4	αswap	αswap	NOUN
ejpam-6344	198	5	represents	represent	VERB
ejpam-6344	198	6	a	a	DET
ejpam-6344	198	7	d	d	NOUN
ejpam-6344	198	8	-	-	NOUN
ejpam-6344	198	9	tuple	tuple	ADJ
ejpam-6344	198	10	(	(	PUNCT
ejpam-6344	198	11	α1	α1	PROPN
ejpam-6344	198	12	,	,	PUNCT
ejpam-6344	198	13	α2	α2	ADJ
ejpam-6344	198	14	,	,	PUNCT
ejpam-6344	198	15	·	·	PUNCT
ejpam-6344	198	16	·	·	PUNCT
ejpam-6344	198	17	·	·	PUNCT
ejpam-6344	198	18	,	,	PUNCT
ejpam-6344	198	19	αd	αd	PROPN
ejpam-6344	198	20	)	)	PUNCT
ejpam-6344	198	21	for	for	ADP
ejpam-6344	198	22	arbitrary	arbitrary	ADJ
ejpam-6344	198	23	real	real	ADJ
ejpam-6344	198	24	numbers	number	NOUN
ejpam-6344	198	25	αi	αi	VERB
ejpam-6344	198	26	.	.	PUNCT
ejpam-6344	199	1	let	let	VERB
ejpam-6344	199	2	us	we	PRON
ejpam-6344	199	3	conclude	conclude	VERB
ejpam-6344	199	4	by	by	ADP
ejpam-6344	199	5	mentioning	mention	VERB
ejpam-6344	199	6	some	some	DET
ejpam-6344	199	7	future	future	ADJ
ejpam-6344	199	8	research	research	NOUN
ejpam-6344	199	9	directions	direction	NOUN
ejpam-6344	199	10	related	relate	VERB
ejpam-6344	199	11	to	to	ADP
ejpam-6344	199	12	the	the	DET
ejpam-6344	199	13	present	present	ADJ
ejpam-6344	199	14	work	work	NOUN
ejpam-6344	199	15	.	.	PUNCT
ejpam-6344	200	1	one	one	NUM
ejpam-6344	200	2	possible	possible	ADJ
ejpam-6344	200	3	direction	direction	NOUN
ejpam-6344	200	4	is	be	AUX
ejpam-6344	200	5	to	to	PART
ejpam-6344	200	6	generalize	generalize	VERB
ejpam-6344	200	7	αswap	αswap	NOUN
ejpam-6344	200	8	to	to	ADP
ejpam-6344	200	9	more	more	ADV
ejpam-6344	200	10	general	general	ADJ
ejpam-6344	200	11	(	(	PUNCT
ejpam-6344	200	12	and	and	CCONJ
ejpam-6344	200	13	not	not	PART
ejpam-6344	200	14	necessarily	necessarily	ADV
ejpam-6344	200	15	unitary	unitary	ADJ
ejpam-6344	200	16	)	)	PUNCT
ejpam-6344	200	17	solutions	solution	NOUN
ejpam-6344	200	18	of	of	ADP
ejpam-6344	200	19	the	the	DET
ejpam-6344	200	20	yang	yang	PROPN
ejpam-6344	200	21	–	–	PUNCT
ejpam-6344	200	22	baxter	baxter	PROPN
ejpam-6344	200	23	equation	equation	NOUN
ejpam-6344	200	24	.	.	PUNCT
ejpam-6344	201	1	it	it	PRON
ejpam-6344	201	2	would	would	AUX
ejpam-6344	201	3	also	also	ADV
ejpam-6344	201	4	be	be	AUX
ejpam-6344	201	5	interesting	interesting	ADJ
ejpam-6344	201	6	to	to	PART
ejpam-6344	201	7	investigate	investigate	VERB
ejpam-6344	201	8	how	how	SCONJ
ejpam-6344	201	9	αswap	αswap	NOUN
ejpam-6344	201	10	can	can	AUX
ejpam-6344	201	11	be	be	AUX
ejpam-6344	201	12	expressed	express	VERB
ejpam-6344	201	13	as	as	ADP
ejpam-6344	201	14	a	a	DET
ejpam-6344	201	15	linear	linear	ADJ
ejpam-6344	201	16	combination	combination	NOUN
ejpam-6344	201	17	of	of	ADP
ejpam-6344	201	18	tensor	tensor	NOUN
ejpam-6344	201	19	products	product	NOUN
ejpam-6344	201	20	of	of	ADP
ejpam-6344	201	21	generalized	generalized	ADJ
ejpam-6344	201	22	(	(	PUNCT
ejpam-6344	201	23	higher	higher	ADV
ejpam-6344	201	24	-	-	PUNCT
ejpam-6344	201	25	dimensional	dimensional	ADJ
ejpam-6344	201	26	)	)	PUNCT
ejpam-6344	201	27	pauli	pauli	NOUN
ejpam-6344	201	28	matrices	matrix	NOUN
ejpam-6344	201	29	.	.	PUNCT
ejpam-6344	202	1	these	these	DET
ejpam-6344	202	2	research	research	NOUN
ejpam-6344	202	3	directions	direction	NOUN
ejpam-6344	202	4	will	will	AUX
ejpam-6344	202	5	be	be	AUX
ejpam-6344	202	6	pursued	pursue	VERB
ejpam-6344	202	7	in	in	ADP
ejpam-6344	202	8	a	a	DET
ejpam-6344	202	9	sequel	sequel	NOUN
ejpam-6344	202	10	to	to	ADP
ejpam-6344	202	11	this	this	DET
ejpam-6344	202	12	paper	paper	NOUN
ejpam-6344	202	13	.	.	PUNCT
ejpam-6344	203	1	acknowledgements	acknowledgement	NOUN
ejpam-6344	203	2	first	first	ADV
ejpam-6344	203	3	and	and	CCONJ
ejpam-6344	203	4	foremost	foremost	ADV
ejpam-6344	203	5	,	,	PUNCT
ejpam-6344	203	6	i	i	PRON
ejpam-6344	203	7	am	be	AUX
ejpam-6344	203	8	deeply	deeply	ADV
ejpam-6344	203	9	grateful	grateful	ADJ
ejpam-6344	203	10	to	to	ADP
ejpam-6344	203	11	the	the	DET
ejpam-6344	203	12	esteemed	esteemed	ADJ
ejpam-6344	203	13	editor	editor	NOUN
ejpam-6344	203	14	and	and	CCONJ
ejpam-6344	203	15	reviewers	reviewer	NOUN
ejpam-6344	203	16	for	for	ADP
ejpam-6344	203	17	their	their	PRON
ejpam-6344	203	18	invaluable	invaluable	ADJ
ejpam-6344	203	19	comments	comment	NOUN
ejpam-6344	203	20	and	and	CCONJ
ejpam-6344	203	21	suggestions	suggestion	NOUN
ejpam-6344	203	22	,	,	PUNCT
ejpam-6344	203	23	which	which	PRON
ejpam-6344	203	24	have	have	AUX
ejpam-6344	203	25	undoubtedly	undoubtedly	ADV
ejpam-6344	203	26	enhanced	enhance	VERB
ejpam-6344	203	27	the	the	DET
ejpam-6344	203	28	quality	quality	NOUN
ejpam-6344	203	29	of	of	ADP
ejpam-6344	203	30	this	this	DET
ejpam-6344	203	31	paper	paper	NOUN
ejpam-6344	203	32	.	.	PUNCT
ejpam-6344	204	1	i	i	PRON
ejpam-6344	204	2	am	be	AUX
ejpam-6344	204	3	also	also	ADV
ejpam-6344	204	4	thankful	thankful	ADJ
ejpam-6344	204	5	to	to	ADP
ejpam-6344	204	6	dr	dr	PROPN
ejpam-6344	204	7	.	.	PROPN
ejpam-6344	204	8	sinan	sinan	PROPN
ejpam-6344	204	9	kapcak	kapcak	PROPN
ejpam-6344	205	1	[	[	X
ejpam-6344	205	2	36	36	NUM
ejpam-6344	205	3	]	]	PUNCT
ejpam-6344	205	4	for	for	ADP
ejpam-6344	205	5	introducing	introduce	VERB
ejpam-6344	205	6	me	i	PRON
ejpam-6344	205	7	to	to	ADP
ejpam-6344	205	8	sagemath	sagemath	NOUN
ejpam-6344	205	9	,	,	PUNCT
ejpam-6344	205	10	which	which	PRON
ejpam-6344	205	11	proved	prove	VERB
ejpam-6344	205	12	invaluable	invaluable	ADJ
ejpam-6344	205	13	in	in	ADP
ejpam-6344	205	14	generating	generate	VERB
ejpam-6344	205	15	large	large	ADJ
ejpam-6344	205	16	matrices	matrix	NOUN
ejpam-6344	205	17	and	and	CCONJ
ejpam-6344	205	18	testing	test	VERB
ejpam-6344	205	19	the	the	DET
ejpam-6344	205	20	validity	validity	NOUN
ejpam-6344	205	21	of	of	ADP
ejpam-6344	205	22	several	several	ADJ
ejpam-6344	205	23	formulas	formula	NOUN
ejpam-6344	205	24	.	.	PUNCT
ejpam-6344	206	1	last	last	ADJ
ejpam-6344	206	2	but	but	CCONJ
ejpam-6344	206	3	not	not	PART
ejpam-6344	206	4	least	least	ADJ
ejpam-6344	206	5	,	,	PUNCT
ejpam-6344	206	6	i	i	PRON
ejpam-6344	206	7	extend	extend	VERB
ejpam-6344	206	8	my	my	PRON
ejpam-6344	206	9	thanks	thank	NOUN
ejpam-6344	206	10	to	to	ADP
ejpam-6344	206	11	mrs	mrs	PROPN
ejpam-6344	206	12	.	.	PROPN
ejpam-6344	206	13	elena	elena	PROPN
ejpam-6344	206	14	ryzhova	ryzhova	PROPN
ejpam-6344	206	15	for	for	ADP
ejpam-6344	206	16	her	her	PRON
ejpam-6344	206	17	assistance	assistance	NOUN
ejpam-6344	206	18	with	with	ADP
ejpam-6344	206	19	proofreading	proofread	VERB
ejpam-6344	206	20	the	the	DET
ejpam-6344	206	21	manuscript	manuscript	NOUN
ejpam-6344	206	22	and	and	CCONJ
ejpam-6344	206	23	for	for	ADP
ejpam-6344	206	24	the	the	DET
ejpam-6344	206	25	insightful	insightful	ADJ
ejpam-6344	206	26	conversations	conversation	NOUN
ejpam-6344	206	27	.	.	PUNCT
ejpam-6344	207	1	this	this	DET
ejpam-6344	207	2	work	work	NOUN
ejpam-6344	207	3	was	be	AUX
ejpam-6344	207	4	supported	support	VERB
ejpam-6344	207	5	by	by	ADP
ejpam-6344	207	6	ongoing	ongoing	ADJ
ejpam-6344	207	7	institutional	institutional	ADJ
ejpam-6344	207	8	funding	funding	NOUN
ejpam-6344	207	9	.	.	PUNCT
ejpam-6344	208	1	no	no	DET
ejpam-6344	208	2	additional	additional	ADJ
ejpam-6344	208	3	grants	grant	NOUN
ejpam-6344	208	4	to	to	PART
ejpam-6344	208	5	carry	carry	VERB
ejpam-6344	208	6	out	out	ADP
ejpam-6344	208	7	or	or	CCONJ
ejpam-6344	208	8	direct	direct	VERB
ejpam-6344	208	9	this	this	DET
ejpam-6344	208	10	particular	particular	ADJ
ejpam-6344	208	11	research	research	NOUN
ejpam-6344	208	12	were	be	AUX
ejpam-6344	208	13	obtained	obtain	VERB
ejpam-6344	208	14	.	.	PUNCT
ejpam-6344	209	1	there	there	PRON
ejpam-6344	209	2	are	be	VERB
ejpam-6344	209	3	no	no	DET
ejpam-6344	209	4	conflicts	conflict	NOUN
ejpam-6344	209	5	of	of	ADP
ejpam-6344	209	6	interest	interest	NOUN
ejpam-6344	209	7	regarding	regard	VERB
ejpam-6344	209	8	this	this	DET
ejpam-6344	209	9	work	work	NOUN
ejpam-6344	209	10	.	.	PUNCT
ejpam-6344	210	1	references	reference	NOUN
ejpam-6344	210	2	[	[	X
ejpam-6344	210	3	1	1	NUM
ejpam-6344	210	4	]	]	PUNCT
ejpam-6344	210	5	soltamov	soltamov	PROPN
ejpam-6344	210	6	v.a	v.a	PROPN
ejpam-6344	210	7	.	.	PROPN
ejpam-6344	210	8	et	et	PROPN
ejpam-6344	210	9	al	al	PROPN
ejpam-6344	210	10	.	.	PROPN
ejpam-6344	210	11	excitation	excitation	NOUN
ejpam-6344	210	12	and	and	CCONJ
ejpam-6344	210	13	coherent	coherent	ADJ
ejpam-6344	210	14	control	control	NOUN
ejpam-6344	210	15	of	of	ADP
ejpam-6344	210	16	spin	spin	NOUN
ejpam-6344	210	17	qudit	qudit	NOUN
ejpam-6344	210	18	modes	mode	NOUN
ejpam-6344	210	19	in	in	ADP
ejpam-6344	210	20	silicon	silicon	NOUN
ejpam-6344	210	21	carbide	carbide	NOUN
ejpam-6344	210	22	at	at	ADP
ejpam-6344	210	23	room	room	NOUN
ejpam-6344	210	24	temperature	temperature	NOUN
ejpam-6344	210	25	.	.	PUNCT
ejpam-6344	211	1	nature	nature	NOUN
ejpam-6344	211	2	communications	communication	NOUN
ejpam-6344	211	3	,	,	PUNCT
ejpam-6344	211	4	10	10	NUM
ejpam-6344	211	5	,	,	PUNCT
ejpam-6344	211	6	2019	2019	NUM
ejpam-6344	211	7	.	.	PUNCT
ejpam-6344	212	1	[	[	X
ejpam-6344	212	2	2	2	NUM
ejpam-6344	212	3	]	]	X
ejpam-6344	212	4	kues	kue	NOUN
ejpam-6344	212	5	m.	m.	NOUN
ejpam-6344	212	6	et	et	PROPN
ejpam-6344	212	7	al	al	PROPN
ejpam-6344	212	8	.	.	PROPN
ejpam-6344	213	1	on	on	ADP
ejpam-6344	213	2	-	-	PUNCT
ejpam-6344	213	3	chip	chip	NOUN
ejpam-6344	213	4	generation	generation	NOUN
ejpam-6344	213	5	of	of	ADP
ejpam-6344	213	6	high	high	ADJ
ejpam-6344	213	7	-	-	PUNCT
ejpam-6344	213	8	dimensional	dimensional	ADJ
ejpam-6344	213	9	entangled	entangled	ADJ
ejpam-6344	213	10	quantum	quantum	NOUN
ejpam-6344	213	11	states	state	NOUN
ejpam-6344	213	12	and	and	CCONJ
ejpam-6344	213	13	their	their	PRON
ejpam-6344	213	14	coherent	coherent	ADJ
ejpam-6344	213	15	control	control	NOUN
ejpam-6344	213	16	.	.	PUNCT
ejpam-6344	214	1	nature	nature	NOUN
ejpam-6344	214	2	,	,	PUNCT
ejpam-6344	214	3	546:622–626	546:622–626	NUM
ejpam-6344	214	4	,	,	PUNCT
ejpam-6344	214	5	2017	2017	NUM
ejpam-6344	214	6	.	.	PUNCT
ejpam-6344	215	1	[	[	X
ejpam-6344	215	2	3	3	X
ejpam-6344	215	3	]	]	X
ejpam-6344	215	4	neeley	neeley	PROPN
ejpam-6344	215	5	m.	m.	PROPN
ejpam-6344	215	6	et	et	PROPN
ejpam-6344	215	7	al	al	PROPN
ejpam-6344	215	8	.	.	PUNCT
ejpam-6344	216	1	emulation	emulation	NOUN
ejpam-6344	216	2	of	of	ADP
ejpam-6344	216	3	a	a	DET
ejpam-6344	216	4	quantum	quantum	NOUN
ejpam-6344	216	5	spin	spin	NOUN
ejpam-6344	216	6	with	with	ADP
ejpam-6344	216	7	a	a	DET
ejpam-6344	216	8	superconducting	superconducte	VERB
ejpam-6344	216	9	phase	phase	NOUN
ejpam-6344	216	10	qudit	qudit	NOUN
ejpam-6344	216	11	.	.	PUNCT
ejpam-6344	217	1	science	science	NOUN
ejpam-6344	217	2	,	,	PUNCT
ejpam-6344	217	3	325:722–725	325:722–725	NUM
ejpam-6344	217	4	,	,	PUNCT
ejpam-6344	217	5	2009	2009	NUM
ejpam-6344	217	6	.	.	PUNCT
ejpam-6344	218	1	[	[	X
ejpam-6344	218	2	4	4	X
ejpam-6344	218	3	]	]	X
ejpam-6344	218	4	benjamin	benjamin	PROPN
ejpam-6344	218	5	p	p	PROPN
ejpam-6344	218	6	lanyon	lanyon	PROPN
ejpam-6344	218	7	,	,	PUNCT
ejpam-6344	218	8	marco	marco	PROPN
ejpam-6344	218	9	barbieri	barbieri	PROPN
ejpam-6344	218	10	,	,	PUNCT
ejpam-6344	218	11	marcelo	marcelo	PROPN
ejpam-6344	218	12	p	p	PROPN
ejpam-6344	218	13	almeida	almeida	PROPN
ejpam-6344	218	14	,	,	PUNCT
ejpam-6344	218	15	thomas	thomas	PROPN
ejpam-6344	218	16	jennewein	jennewein	PROPN
ejpam-6344	218	17	,	,	PUNCT
ejpam-6344	218	18	timothy	timothy	PROPN
ejpam-6344	218	19	c	c	PROPN
ejpam-6344	218	20	ralph	ralph	PROPN
ejpam-6344	218	21	,	,	PUNCT
ejpam-6344	218	22	kevin	kevin	PROPN
ejpam-6344	218	23	j	j	PROPN
ejpam-6344	218	24	resch	resch	PROPN
ejpam-6344	218	25	,	,	PUNCT
ejpam-6344	218	26	geoff	geoff	PROPN
ejpam-6344	218	27	j	j	PROPN
ejpam-6344	218	28	pryde	pryde	PROPN
ejpam-6344	218	29	,	,	PUNCT
ejpam-6344	218	30	jeremy	jeremy	PROPN
ejpam-6344	218	31	l	l	PROPN
ejpam-6344	218	32	o’brien	o’brien	PROPN
ejpam-6344	218	33	,	,	PUNCT
ejpam-6344	218	34	alexei	alexei	PROPN
ejpam-6344	218	35	gilchrist	gilchrist	NOUN
ejpam-6344	218	36	,	,	PUNCT
ejpam-6344	218	37	and	and	CCONJ
ejpam-6344	218	38	andrew	andrew	PROPN
ejpam-6344	218	39	g	g	PROPN
ejpam-6344	218	40	white	white	PROPN
ejpam-6344	218	41	.	.	PUNCT
ejpam-6344	219	1	simplifying	simplify	VERB
ejpam-6344	219	2	quantum	quantum	ADJ
ejpam-6344	219	3	logic	logic	NOUN
ejpam-6344	219	4	using	use	VERB
ejpam-6344	219	5	higher	higher	ADV
ejpam-6344	219	6	-	-	PUNCT
ejpam-6344	219	7	dimensional	dimensional	ADJ
ejpam-6344	219	8	hilbert	hilbert	NOUN
ejpam-6344	219	9	spaces	space	NOUN
ejpam-6344	219	10	.	.	PUNCT
ejpam-6344	220	1	nature	nature	PROPN
ejpam-6344	220	2	physics	physics	PROPN
ejpam-6344	220	3	,	,	PUNCT
ejpam-6344	220	4	5(2):134–140	5(2):134–140	NUM
ejpam-6344	220	5	,	,	PUNCT
ejpam-6344	220	6	2009	2009	NUM
ejpam-6344	220	7	.	.	PUNCT
ejpam-6344	221	1	[	[	X
ejpam-6344	221	2	5	5	X
ejpam-6344	221	3	]	]	X
ejpam-6344	221	4	dagomir	dagomir	NOUN
ejpam-6344	221	5	kaszlikowski	kaszlikowski	PROPN
ejpam-6344	221	6	,	,	PUNCT
ejpam-6344	221	7	daniel	daniel	PROPN
ejpam-6344	221	8	kl	kl	PROPN
ejpam-6344	221	9	oi	oi	PROPN
ejpam-6344	221	10	,	,	PUNCT
ejpam-6344	221	11	matthias	matthias	PROPN
ejpam-6344	221	12	christandl	christandl	PROPN
ejpam-6344	221	13	,	,	PUNCT
ejpam-6344	221	14	kelken	kelken	PROPN
ejpam-6344	221	15	chang	chang	PROPN
ejpam-6344	221	16	,	,	PUNCT
ejpam-6344	221	17	artur	artur	PROPN
ejpam-6344	221	18	a.	a.	NOUN
ejpam-6344	221	19	pourkia	pourkia	PROPN
ejpam-6344	221	20	/	/	SYM
ejpam-6344	221	21	eur	eur	PROPN
ejpam-6344	221	22	.	.	PUNCT
ejpam-6344	222	1	j.	j.	PROPN
ejpam-6344	222	2	pure	pure	PROPN
ejpam-6344	222	3	appl	appl	PROPN
ejpam-6344	222	4	.	.	PROPN
ejpam-6344	222	5	math	math	PROPN
ejpam-6344	222	6	,	,	PUNCT
ejpam-6344	222	7	18	18	NUM
ejpam-6344	222	8	(	(	PUNCT
ejpam-6344	222	9	3	3	NUM
ejpam-6344	222	10	)	)	PUNCT
ejpam-6344	222	11	(	(	PUNCT
ejpam-6344	222	12	2025	2025	NUM
ejpam-6344	222	13	)	)	PUNCT
ejpam-6344	222	14	,	,	PUNCT
ejpam-6344	222	15	6344	6344	NUM
ejpam-6344	222	16	13	13	NUM
ejpam-6344	222	17	of	of	ADP
ejpam-6344	222	18	14	14	NUM
ejpam-6344	222	19	ekert	ekert	ADJ
ejpam-6344	222	20	,	,	PUNCT
ejpam-6344	222	21	leong	leong	PROPN
ejpam-6344	222	22	chuan	chuan	PROPN
ejpam-6344	222	23	kwek	kwek	PROPN
ejpam-6344	222	24	,	,	PUNCT
ejpam-6344	222	25	and	and	CCONJ
ejpam-6344	222	26	ch	ch	NOUN
ejpam-6344	223	1	oh	oh	INTJ
ejpam-6344	223	2	.	.	PUNCT
ejpam-6344	223	3	quantum	quantum	ADJ
ejpam-6344	223	4	cryptography	cryptography	NOUN
ejpam-6344	223	5	based	base	VERB
ejpam-6344	223	6	on	on	ADP
ejpam-6344	223	7	qutrit	qutrit	PROPN
ejpam-6344	223	8	bell	bell	PROPN
ejpam-6344	223	9	inequalities	inequality	NOUN
ejpam-6344	223	10	.	.	PUNCT
ejpam-6344	224	1	physical	physical	ADJ
ejpam-6344	224	2	review	review	PROPN
ejpam-6344	224	3	a	a	DET
ejpam-6344	224	4	,	,	PUNCT
ejpam-6344	224	5	67(1):012310	67(1):012310	NUM
ejpam-6344	224	6	,	,	PUNCT
ejpam-6344	224	7	2003	2003	NUM
ejpam-6344	224	8	.	.	PUNCT
ejpam-6344	225	1	[	[	X
ejpam-6344	225	2	6	6	NUM
ejpam-6344	225	3	]	]	PUNCT
ejpam-6344	225	4	francesco	francesco	PROPN
ejpam-6344	225	5	pudda	pudda	PROPN
ejpam-6344	225	6	,	,	PUNCT
ejpam-6344	225	7	mario	mario	PROPN
ejpam-6344	225	8	chizzini	chizzini	PROPN
ejpam-6344	225	9	,	,	PUNCT
ejpam-6344	225	10	and	and	CCONJ
ejpam-6344	225	11	luca	luca	PROPN
ejpam-6344	225	12	crippa	crippa	PROPN
ejpam-6344	225	13	.	.	PUNCT
ejpam-6344	226	1	generalised	generalise	VERB
ejpam-6344	226	2	quantum	quantum	ADJ
ejpam-6344	226	3	gates	gate	NOUN
ejpam-6344	226	4	for	for	ADP
ejpam-6344	226	5	qudits	qudit	NOUN
ejpam-6344	226	6	and	and	CCONJ
ejpam-6344	226	7	their	their	PRON
ejpam-6344	226	8	application	application	NOUN
ejpam-6344	226	9	in	in	ADP
ejpam-6344	226	10	quantum	quantum	ADJ
ejpam-6344	226	11	fourier	fourier	NOUN
ejpam-6344	226	12	transform	transform	NOUN
ejpam-6344	226	13	.	.	PUNCT
ejpam-6344	226	14	https://arxiv.org/abs/2410.05122	https://arxiv.org/abs/2410.05122	PROPN
ejpam-6344	226	15	,	,	PUNCT
ejpam-6344	226	16	2024	2024	NUM
ejpam-6344	226	17	.	.	PUNCT
ejpam-6344	227	1	[	[	X
ejpam-6344	227	2	7	7	X
ejpam-6344	227	3	]	]	X
ejpam-6344	227	4	wang	wang	PROPN
ejpam-6344	227	5	y	y	PROPN
ejpam-6344	227	6	,	,	PUNCT
ejpam-6344	227	7	hu	hu	PROPN
ejpam-6344	227	8	z	z	PROPN
ejpam-6344	227	9	,	,	PUNCT
ejpam-6344	227	10	sanders	sanders	PROPN
ejpam-6344	227	11	b.c	b.c	PROPN
ejpam-6344	227	12	.	.	PROPN
ejpam-6344	227	13	,	,	PUNCT
ejpam-6344	227	14	and	and	CCONJ
ejpam-6344	227	15	kais	kais	PROPN
ejpam-6344	227	16	s.	s.	PROPN
ejpam-6344	227	17	qudits	qudits	PROPN
ejpam-6344	227	18	and	and	CCONJ
ejpam-6344	227	19	high	high	ADJ
ejpam-6344	227	20	-	-	PUNCT
ejpam-6344	227	21	dimensional	dimensional	ADJ
ejpam-6344	227	22	quantum	quantum	ADJ
ejpam-6344	227	23	computing	computing	NOUN
ejpam-6344	227	24	.	.	PUNCT
ejpam-6344	228	1	front	front	NOUN
ejpam-6344	228	2	.	.	PUNCT
ejpam-6344	229	1	phys	phy	NOUN
ejpam-6344	229	2	.	.	PUNCT
ejpam-6344	229	3	,	,	PUNCT
ejpam-6344	229	4	8	8	NUM
ejpam-6344	229	5	,	,	PUNCT
ejpam-6344	229	6	2020	2020	NUM
ejpam-6344	229	7	.	.	PUNCT
ejpam-6344	230	1	[	[	X
ejpam-6344	230	2	8	8	NUM
ejpam-6344	230	3	]	]	X
ejpam-6344	230	4	garcia	garcia	PROPN
ejpam-6344	230	5	-	-	PUNCT
ejpam-6344	230	6	escartin	escartin	PROPN
ejpam-6344	230	7	j.	j.	PROPN
ejpam-6344	230	8	c.	c.	PROPN
ejpam-6344	230	9	and	and	CCONJ
ejpam-6344	230	10	chamorro	chamorro	PROPN
ejpam-6344	230	11	-	-	PUNCT
ejpam-6344	230	12	posada	posada	PROPN
ejpam-6344	230	13	p.	p.	PROPN
ejpam-6344	230	14	a	a	DET
ejpam-6344	230	15	swap	swap	NOUN
ejpam-6344	230	16	gate	gate	NOUN
ejpam-6344	230	17	for	for	ADP
ejpam-6344	230	18	qudits	qudit	NOUN
ejpam-6344	230	19	.	.	PUNCT
ejpam-6344	230	20	quantum	quantum	PROPN
ejpam-6344	230	21	inf	inf	NOUN
ejpam-6344	230	22	process	process	NOUN
ejpam-6344	230	23	,	,	PUNCT
ejpam-6344	230	24	12:3625–3631	12:3625–3631	NUM
ejpam-6344	230	25	,	,	PUNCT
ejpam-6344	230	26	2013	2013	NUM
ejpam-6344	230	27	.	.	PUNCT
ejpam-6344	231	1	[	[	X
ejpam-6344	231	2	9	9	NUM
ejpam-6344	231	3	]	]	X
ejpam-6344	231	4	yan	yan	PROPN
ejpam-6344	231	5	guo	guo	PROPN
ejpam-6344	231	6	-	-	PUNCT
ejpam-6344	231	7	an	an	PROPN
ejpam-6344	231	8	,	,	PUNCT
ejpam-6344	231	9	qiao	qiao	PROPN
ejpam-6344	231	10	hao	hao	PROPN
ejpam-6344	231	11	-	-	PROPN
ejpam-6344	231	12	xue	xue	PROPN
ejpam-6344	231	13	,	,	PUNCT
ejpam-6344	231	14	and	and	CCONJ
ejpam-6344	231	15	lu	lu	PROPN
ejpam-6344	231	16	hua	hua	PROPN
ejpam-6344	231	17	.	.	PUNCT
ejpam-6344	231	18	quantum	quantum	PROPN
ejpam-6344	231	19	iswap	iswap	PROPN
ejpam-6344	231	20	gate	gate	NOUN
ejpam-6344	231	21	in	in	ADP
ejpam-6344	231	22	optical	optical	ADJ
ejpam-6344	231	23	cavities	cavity	NOUN
ejpam-6344	231	24	with	with	ADP
ejpam-6344	231	25	a	a	DET
ejpam-6344	231	26	cyclic	cyclic	ADJ
ejpam-6344	231	27	three	three	NUM
ejpam-6344	231	28	-	-	PUNCT
ejpam-6344	231	29	level	level	NOUN
ejpam-6344	231	30	system	system	NOUN
ejpam-6344	231	31	.	.	PUNCT
ejpam-6344	232	1	quantum	quantum	PROPN
ejpam-6344	232	2	inf	inf	NOUN
ejpam-6344	232	3	process	process	NOUN
ejpam-6344	232	4	,	,	PUNCT
ejpam-6344	232	5	17(71	17(71	NUM
ejpam-6344	232	6	)	)	PUNCT
ejpam-6344	232	7	,	,	PUNCT
ejpam-6344	232	8	2018	2018	NUM
ejpam-6344	232	9	.	.	PUNCT
ejpam-6344	233	1	[	[	X
ejpam-6344	233	2	10	10	NUM
ejpam-6344	233	3	]	]	X
ejpam-6344	233	4	monika	monika	PROPN
ejpam-6344	233	5	bartkowiak	bartkowiak	PROPN
ejpam-6344	233	6	and	and	CCONJ
ejpam-6344	233	7	adam	adam	PROPN
ejpam-6344	233	8	miranowicz	miranowicz	PROPN
ejpam-6344	233	9	.	.	PUNCT
ejpam-6344	234	1	linear	linear	ADJ
ejpam-6344	234	2	-	-	PUNCT
ejpam-6344	234	3	optical	optical	ADJ
ejpam-6344	234	4	implementations	implementation	NOUN
ejpam-6344	234	5	of	of	ADP
ejpam-6344	234	6	the	the	DET
ejpam-6344	234	7	iswap	iswap	NOUN
ejpam-6344	234	8	and	and	CCONJ
ejpam-6344	234	9	controlled	control	VERB
ejpam-6344	234	10	not	not	PART
ejpam-6344	234	11	gates	gate	NOUN
ejpam-6344	234	12	based	base	VERB
ejpam-6344	234	13	on	on	ADP
ejpam-6344	234	14	conventional	conventional	ADJ
ejpam-6344	234	15	detectors	detector	NOUN
ejpam-6344	234	16	.	.	PUNCT
ejpam-6344	235	1	j.	j.	PROPN
ejpam-6344	235	2	opt	opt	PROPN
ejpam-6344	235	3	.	.	PUNCT
ejpam-6344	236	1	soc	soc	PROPN
ejpam-6344	236	2	.	.	PUNCT
ejpam-6344	237	1	am	be	AUX
ejpam-6344	237	2	.	.	PUNCT
ejpam-6344	238	1	b	b	X
ejpam-6344	238	2	,	,	PUNCT
ejpam-6344	238	3	27:2369–2377	27:2369–2377	NUM
ejpam-6344	238	4	,	,	PUNCT
ejpam-6344	238	5	2010	2010	NUM
ejpam-6344	238	6	.	.	PUNCT
ejpam-6344	239	1	[	[	X
ejpam-6344	239	2	11	11	NUM
ejpam-6344	239	3	]	]	X
ejpam-6344	239	4	peng	peng	PROPN
ejpam-6344	239	5	xu	xu	PROPN
ejpam-6344	239	6	.	.	PUNCT
ejpam-6344	240	1	et	et	PROPN
ejpam-6344	240	2	al	al	PROPN
ejpam-6344	240	3	.	.	PUNCT
ejpam-6344	241	1	realization	realization	NOUN
ejpam-6344	241	2	of	of	ADP
ejpam-6344	241	3	the	the	DET
ejpam-6344	241	4	iswap	iswap	NOUN
ejpam-6344	241	5	-	-	PUNCT
ejpam-6344	241	6	like	like	ADJ
ejpam-6344	241	7	gate	gate	NOUN
ejpam-6344	241	8	among	among	ADP
ejpam-6344	241	9	the	the	DET
ejpam-6344	241	10	superconducting	superconducte	VERB
ejpam-6344	241	11	qutrits	qutrit	NOUN
ejpam-6344	241	12	.	.	PUNCT
ejpam-6344	242	1	chinese	chinese	ADJ
ejpam-6344	242	2	phys	phy	NOUN
ejpam-6344	242	3	.	.	PUNCT
ejpam-6344	243	1	b	b	X
ejpam-6344	243	2	,	,	PUNCT
ejpam-6344	243	3	32(020306	32(020306	NUM
ejpam-6344	243	4	)	)	PUNCT
ejpam-6344	243	5	,	,	PUNCT
ejpam-6344	243	6	2023	2023	NUM
ejpam-6344	243	7	.	.	PUNCT
ejpam-6344	244	1	[	[	X
ejpam-6344	244	2	12	12	NUM
ejpam-6344	244	3	]	]	PUNCT
ejpam-6344	244	4	ar	ar	PROPN
ejpam-6344	244	5	shlyakhov	shlyakhov	PROPN
ejpam-6344	244	6	,	,	PUNCT
ejpam-6344	244	7	vv	vv	CCONJ
ejpam-6344	244	8	zemlyanov	zemlyanov	PROPN
ejpam-6344	244	9	,	,	PUNCT
ejpam-6344	244	10	mv	mv	PROPN
ejpam-6344	244	11	suslov	suslov	PROPN
ejpam-6344	244	12	,	,	PUNCT
ejpam-6344	244	13	andrei	andrei	PROPN
ejpam-6344	244	14	v	v	PROPN
ejpam-6344	244	15	lebedev	lebedev	PROPN
ejpam-6344	244	16	,	,	PUNCT
ejpam-6344	244	17	gheorghe	gheorghe	PROPN
ejpam-6344	244	18	s	s	PART
ejpam-6344	244	19	paraoanu	paraoanu	NOUN
ejpam-6344	244	20	,	,	PUNCT
ejpam-6344	244	21	gordey	gordey	PROPN
ejpam-6344	244	22	b	b	X
ejpam-6344	244	23	lesovik	lesovik	ADJ
ejpam-6344	244	24	,	,	PUNCT
ejpam-6344	244	25	and	and	CCONJ
ejpam-6344	244	26	gianni	gianni	PROPN
ejpam-6344	244	27	blatter	blatter	PROPN
ejpam-6344	244	28	.	.	PUNCT
ejpam-6344	244	29	quantum	quantum	PROPN
ejpam-6344	244	30	metrology	metrology	NOUN
ejpam-6344	244	31	with	with	ADP
ejpam-6344	244	32	a	a	DET
ejpam-6344	244	33	transmon	transmon	NOUN
ejpam-6344	244	34	qutrit	qutrit	NOUN
ejpam-6344	244	35	.	.	PUNCT
ejpam-6344	245	1	physical	physical	PROPN
ejpam-6344	245	2	review	review	PROPN
ejpam-6344	245	3	a	a	PRON
ejpam-6344	245	4	,	,	PUNCT
ejpam-6344	245	5	97(2):022115	97(2):022115	NUM
ejpam-6344	245	6	,	,	PUNCT
ejpam-6344	245	7	2018	2018	NUM
ejpam-6344	245	8	.	.	PUNCT
ejpam-6344	246	1	[	[	X
ejpam-6344	246	2	13	13	NUM
ejpam-6344	246	3	]	]	PUNCT
ejpam-6344	246	4	adriano	adriano	PROPN
ejpam-6344	246	5	barenco	barenco	PROPN
ejpam-6344	246	6	et	et	PROPN
ejpam-6344	246	7	al	al	PROPN
ejpam-6344	246	8	.	.	PROPN
ejpam-6344	246	9	elementary	elementary	PROPN
ejpam-6344	246	10	gates	gate	NOUN
ejpam-6344	246	11	for	for	ADP
ejpam-6344	246	12	quantum	quantum	ADJ
ejpam-6344	246	13	computation	computation	NOUN
ejpam-6344	246	14	.	.	PUNCT
ejpam-6344	247	1	phys	phy	NOUN
ejpam-6344	247	2	.	.	PUNCT
ejpam-6344	248	1	rev	rev	PROPN
ejpam-6344	248	2	.	.	PROPN
ejpam-6344	249	1	a	a	PRON
ejpam-6344	249	2	,	,	PUNCT
ejpam-6344	249	3	52	52	NUM
ejpam-6344	249	4	,	,	PUNCT
ejpam-6344	249	5	1995	1995	NUM
ejpam-6344	249	6	.	.	PUNCT
ejpam-6344	250	1	[	[	X
ejpam-6344	250	2	14	14	NUM
ejpam-6344	250	3	]	]	X
ejpam-6344	250	4	nielsen	nielsen	PROPN
ejpam-6344	250	5	m.	m.	PROPN
ejpam-6344	250	6	and	and	CCONJ
ejpam-6344	250	7	chuang	chuang	PROPN
ejpam-6344	250	8	i.	i.	PROPN
ejpam-6344	250	9	quantum	quantum	PROPN
ejpam-6344	250	10	computation	computation	NOUN
ejpam-6344	250	11	and	and	CCONJ
ejpam-6344	250	12	quantum	quantum	NOUN
ejpam-6344	250	13	information	information	NOUN
ejpam-6344	250	14	.	.	PUNCT
ejpam-6344	251	1	cambridge	cambridge	PROPN
ejpam-6344	251	2	university	university	PROPN
ejpam-6344	251	3	press	press	PROPN
ejpam-6344	251	4	,	,	PUNCT
ejpam-6344	251	5	10th	10th	ADJ
ejpam-6344	251	6	anniversary	anniversary	NOUN
ejpam-6344	251	7	edition	edition	NOUN
ejpam-6344	251	8	,	,	PUNCT
ejpam-6344	251	9	2010	2010	NUM
ejpam-6344	251	10	.	.	PUNCT
ejpam-6344	252	1	[	[	X
ejpam-6344	252	2	15	15	NUM
ejpam-6344	252	3	]	]	X
ejpam-6344	252	4	arash	arash	NOUN
ejpam-6344	252	5	pourkia	pourkia	NOUN
ejpam-6344	252	6	.	.	PUNCT
ejpam-6344	253	1	a	a	DET
ejpam-6344	253	2	note	note	NOUN
ejpam-6344	253	3	on	on	ADP
ejpam-6344	253	4	quantum	quantum	NOUN
ejpam-6344	253	5	gates	gate	NOUN
ejpam-6344	253	6	swap	swap	NOUN
ejpam-6344	253	7	and	and	CCONJ
ejpam-6344	253	8	iswap	iswap	NOUN
ejpam-6344	253	9	in	in	ADP
ejpam-6344	253	10	higher	high	ADJ
ejpam-6344	253	11	dimensions	dimension	NOUN
ejpam-6344	253	12	.	.	PUNCT
ejpam-6344	254	1	european	european	ADJ
ejpam-6344	254	2	journal	journal	PROPN
ejpam-6344	254	3	of	of	ADP
ejpam-6344	254	4	pure	pure	ADJ
ejpam-6344	254	5	and	and	CCONJ
ejpam-6344	254	6	applied	applied	ADJ
ejpam-6344	254	7	mathematics	mathematic	NOUN
ejpam-6344	254	8	,	,	PUNCT
ejpam-6344	254	9	16:1695–1704	16:1695–1704	NUM
ejpam-6344	254	10	,	,	PUNCT
ejpam-6344	254	11	2023	2023	NUM
ejpam-6344	254	12	.	.	PUNCT
ejpam-6344	255	1	[	[	X
ejpam-6344	255	2	16	16	NUM
ejpam-6344	255	3	]	]	X
ejpam-6344	255	4	mario	mario	PROPN
ejpam-6344	255	5	chizzini	chizzini	PROPN
ejpam-6344	255	6	,	,	PUNCT
ejpam-6344	255	7	luca	luca	PROPN
ejpam-6344	255	8	crippa	crippa	PROPN
ejpam-6344	255	9	,	,	PUNCT
ejpam-6344	255	10	luca	luca	PROPN
ejpam-6344	255	11	zaccardi	zaccardi	PROPN
ejpam-6344	255	12	,	,	PUNCT
ejpam-6344	255	13	stefano	stefano	PROPN
ejpam-6344	255	14	carretta	carretta	VERB
ejpam-6344	255	15	,	,	PUNCT
ejpam-6344	255	16	alessandro	alessandro	PROPN
ejpam-6344	255	17	chiesa	chiesa	PROPN
ejpam-6344	255	18	,	,	PUNCT
ejpam-6344	255	19	and	and	CCONJ
ejpam-6344	255	20	paolo	paolo	NOUN
ejpam-6344	255	21	santini	santini	NOUN
ejpam-6344	255	22	.	.	PUNCT
ejpam-6344	255	23	quantum	quantum	NOUN
ejpam-6344	255	24	error	error	NOUN
ejpam-6344	255	25	correction	correction	NOUN
ejpam-6344	255	26	with	with	ADP
ejpam-6344	255	27	molecular	molecular	ADJ
ejpam-6344	255	28	spin	spin	NOUN
ejpam-6344	255	29	qudits	qudit	NOUN
ejpam-6344	255	30	.	.	PUNCT
ejpam-6344	256	1	phys	phy	NOUN
ejpam-6344	256	2	.	.	PUNCT
ejpam-6344	257	1	chem	chem	PROPN
ejpam-6344	257	2	.	.	PUNCT
ejpam-6344	258	1	chem	chem	NOUN
ejpam-6344	258	2	.	.	PUNCT
ejpam-6344	259	1	phys	phy	NOUN
ejpam-6344	259	2	.	.	PUNCT
ejpam-6344	259	3	,	,	PUNCT
ejpam-6344	259	4	24:20030–20039	24:20030–20039	NUM
ejpam-6344	259	5	,	,	PUNCT
ejpam-6344	259	6	2022	2022	NUM
ejpam-6344	259	7	.	.	PUNCT
ejpam-6344	260	1	[	[	X
ejpam-6344	260	2	17	17	NUM
ejpam-6344	260	3	]	]	PUNCT
ejpam-6344	260	4	arash	arash	NOUN
ejpam-6344	260	5	pourkia	pourkia	NOUN
ejpam-6344	260	6	.	.	PUNCT
ejpam-6344	261	1	a	a	DET
ejpam-6344	261	2	note	note	NOUN
ejpam-6344	261	3	on	on	ADP
ejpam-6344	261	4	“	"	PUNCT
ejpam-6344	261	5	eight	eight	NUM
ejpam-6344	261	6	-	-	PUNCT
ejpam-6344	261	7	vertex	vertex	NOUN
ejpam-6344	261	8	”	"	PUNCT
ejpam-6344	261	9	universal	universal	ADJ
ejpam-6344	261	10	quantum	quantum	NOUN
ejpam-6344	261	11	gates	gate	NOUN
ejpam-6344	261	12	.	.	PUNCT
ejpam-6344	262	1	international	international	ADJ
ejpam-6344	262	2	journal	journal	PROPN
ejpam-6344	262	3	of	of	ADP
ejpam-6344	262	4	mathematics	mathematic	NOUN
ejpam-6344	262	5	and	and	CCONJ
ejpam-6344	262	6	computation	computation	NOUN
ejpam-6344	262	7	,	,	PUNCT
ejpam-6344	262	8	31(2):60–73	31(2):60–73	NUM
ejpam-6344	262	9	,	,	PUNCT
ejpam-6344	262	10	2020	2020	NUM
ejpam-6344	262	11	.	.	PUNCT
ejpam-6344	263	1	[	[	X
ejpam-6344	263	2	18	18	NUM
ejpam-6344	263	3	]	]	X
ejpam-6344	263	4	michio	michio	PROPN
ejpam-6344	263	5	jimbo	jimbo	PROPN
ejpam-6344	263	6	.	.	PUNCT
ejpam-6344	264	1	introduction	introduction	NOUN
ejpam-6344	264	2	to	to	ADP
ejpam-6344	264	3	the	the	DET
ejpam-6344	264	4	yang	yang	PROPN
ejpam-6344	264	5	-	-	PUNCT
ejpam-6344	264	6	baxter	baxter	PROPN
ejpam-6344	264	7	equation	equation	NOUN
ejpam-6344	264	8	.	.	PUNCT
ejpam-6344	265	1	international	international	ADJ
ejpam-6344	265	2	journal	journal	NOUN
ejpam-6344	265	3	of	of	ADP
ejpam-6344	265	4	modern	modern	ADJ
ejpam-6344	265	5	physics	physics	PROPN
ejpam-6344	265	6	a	a	PRON
ejpam-6344	265	7	,	,	PUNCT
ejpam-6344	265	8	04(15):3759–3777	04(15):3759–3777	PROPN
ejpam-6344	265	9	,	,	PUNCT
ejpam-6344	265	10	1989	1989	NUM
ejpam-6344	265	11	.	.	PUNCT
ejpam-6344	266	1	[	[	X
ejpam-6344	266	2	19	19	NUM
ejpam-6344	266	3	]	]	X
ejpam-6344	266	4	michio	michio	PROPN
ejpam-6344	266	5	jimbo	jimbo	PROPN
ejpam-6344	266	6	.	.	PUNCT
ejpam-6344	267	1	yang	yang	PROPN
ejpam-6344	267	2	-	-	PUNCT
ejpam-6344	267	3	baxter	baxter	PROPN
ejpam-6344	267	4	equation	equation	NOUN
ejpam-6344	267	5	in	in	ADP
ejpam-6344	267	6	integrable	integrable	ADJ
ejpam-6344	267	7	systems	system	NOUN
ejpam-6344	267	8	,	,	PUNCT
ejpam-6344	267	9	volume	volume	NOUN
ejpam-6344	267	10	10	10	NUM
ejpam-6344	267	11	.	.	PUNCT
ejpam-6344	268	1	world	world	NOUN
ejpam-6344	268	2	scientific	scientific	ADJ
ejpam-6344	268	3	,	,	PUNCT
ejpam-6344	268	4	1990	1990	NUM
ejpam-6344	268	5	.	.	PUNCT
ejpam-6344	269	1	[	[	X
ejpam-6344	269	2	20	20	NUM
ejpam-6344	269	3	]	]	X
ejpam-6344	269	4	j.h.h	j.h.h	PROPN
ejpam-6344	269	5	.	.	PUNCT
ejpam-6344	269	6	perk	perk	PROPN
ejpam-6344	269	7	and	and	CCONJ
ejpam-6344	269	8	h.	h.	PROPN
ejpam-6344	269	9	au	au	PROPN
ejpam-6344	269	10	-	-	PROPN
ejpam-6344	269	11	yang	yang	PROPN
ejpam-6344	269	12	.	.	PUNCT
ejpam-6344	270	1	yang	yang	PROPN
ejpam-6344	270	2	–	–	PUNCT
ejpam-6344	270	3	baxter	baxter	PROPN
ejpam-6344	270	4	equation	equation	NOUN
ejpam-6344	270	5	,	,	PUNCT
ejpam-6344	270	6	volume	volume	NOUN
ejpam-6344	270	7	5	5	NUM
ejpam-6344	270	8	of	of	ADP
ejpam-6344	270	9	encyclopedia	encyclopedia	NOUN
ejpam-6344	270	10	of	of	ADP
ejpam-6344	270	11	mathematical	mathematical	ADJ
ejpam-6344	270	12	physics	physics	NOUN
ejpam-6344	270	13	,	,	PUNCT
ejpam-6344	270	14	pages	page	NOUN
ejpam-6344	270	15	465–473	465–473	NUM
ejpam-6344	270	16	.	.	PUNCT
ejpam-6344	271	1	2006	2006	NUM
ejpam-6344	271	2	.	.	PUNCT
ejpam-6344	272	1	[	[	X
ejpam-6344	272	2	21	21	NUM
ejpam-6344	272	3	]	]	X
ejpam-6344	272	4	marius	marius	PROPN
ejpam-6344	272	5	de	de	PROPN
ejpam-6344	272	6	leeuw	leeuw	PROPN
ejpam-6344	272	7	,	,	PUNCT
ejpam-6344	272	8	anton	anton	PROPN
ejpam-6344	272	9	pribytok	pribytok	NOUN
ejpam-6344	272	10	,	,	PUNCT
ejpam-6344	272	11	and	and	CCONJ
ejpam-6344	272	12	paul	paul	PROPN
ejpam-6344	272	13	ryan	ryan	PROPN
ejpam-6344	272	14	.	.	PUNCT
ejpam-6344	273	1	classifying	classify	VERB
ejpam-6344	273	2	integrable	integrable	ADJ
ejpam-6344	273	3	spin-1/2	spin-1/2	NOUN
ejpam-6344	273	4	chains	chain	NOUN
ejpam-6344	273	5	with	with	ADP
ejpam-6344	273	6	nearest	near	ADJ
ejpam-6344	273	7	neighbour	neighbour	ADJ
ejpam-6344	273	8	interactions	interaction	NOUN
ejpam-6344	273	9	.	.	PUNCT
ejpam-6344	274	1	journal	journal	PROPN
ejpam-6344	274	2	of	of	ADP
ejpam-6344	274	3	physics	physics	PROPN
ejpam-6344	274	4	a	a	PRON
ejpam-6344	274	5	:	:	PUNCT
ejpam-6344	274	6	mathematical	mathematical	ADJ
ejpam-6344	274	7	and	and	CCONJ
ejpam-6344	274	8	theoretical	theoretical	ADJ
ejpam-6344	274	9	,	,	PUNCT
ejpam-6344	274	10	52(50):505201	52(50):505201	NUM
ejpam-6344	274	11	,	,	PUNCT
ejpam-6344	274	12	2019	2019	NUM
ejpam-6344	274	13	.	.	PUNCT
ejpam-6344	275	1	[	[	X
ejpam-6344	275	2	22	22	NUM
ejpam-6344	275	3	]	]	X
ejpam-6344	275	4	tamás	tamás	NOUN
ejpam-6344	275	5	gombor	gombor	NOUN
ejpam-6344	275	6	and	and	CCONJ
ejpam-6344	275	7	balázs	balázs	PROPN
ejpam-6344	275	8	pozsgay	pozsgay	PROPN
ejpam-6344	275	9	.	.	PUNCT
ejpam-6344	276	1	integrable	integrable	ADJ
ejpam-6344	276	2	spin	spin	NOUN
ejpam-6344	276	3	chains	chain	NOUN
ejpam-6344	276	4	and	and	CCONJ
ejpam-6344	276	5	cellular	cellular	ADJ
ejpam-6344	276	6	automata	automata	NOUN
ejpam-6344	276	7	with	with	ADP
ejpam-6344	276	8	medium	medium	ADJ
ejpam-6344	276	9	-	-	PUNCT
ejpam-6344	276	10	range	range	NOUN
ejpam-6344	276	11	interaction	interaction	NOUN
ejpam-6344	276	12	.	.	PUNCT
ejpam-6344	277	1	physical	physical	ADJ
ejpam-6344	277	2	review	review	PROPN
ejpam-6344	277	3	e	e	PROPN
ejpam-6344	277	4	,	,	PUNCT
ejpam-6344	277	5	104(5):054123	104(5):054123	NUM
ejpam-6344	277	6	,	,	PUNCT
ejpam-6344	277	7	2021	2021	NUM
ejpam-6344	277	8	.	.	PUNCT
ejpam-6344	278	1	[	[	X
ejpam-6344	278	2	23	23	NUM
ejpam-6344	278	3	]	]	SYM
ejpam-6344	278	4	louis	louis	PROPN
ejpam-6344	278	5	h	h	PROPN
ejpam-6344	278	6	kauffman	kauffman	PROPN
ejpam-6344	278	7	and	and	CCONJ
ejpam-6344	278	8	samuel	samuel	PROPN
ejpam-6344	278	9	j	j	PROPN
ejpam-6344	278	10	lomonaco	lomonaco	PROPN
ejpam-6344	278	11	.	.	PUNCT
ejpam-6344	279	1	braiding	braid	VERB
ejpam-6344	279	2	operators	operator	NOUN
ejpam-6344	279	3	are	be	AUX
ejpam-6344	279	4	universal	universal	ADJ
ejpam-6344	279	5	quantum	quantum	ADJ
ejpam-6344	279	6	gates	gate	NOUN
ejpam-6344	279	7	.	.	PUNCT
ejpam-6344	280	1	new	new	ADJ
ejpam-6344	280	2	journal	journal	PROPN
ejpam-6344	280	3	of	of	ADP
ejpam-6344	280	4	physics	physics	PROPN
ejpam-6344	280	5	,	,	PUNCT
ejpam-6344	280	6	6(1):134	6(1):134	NUM
ejpam-6344	280	7	,	,	PUNCT
ejpam-6344	280	8	oct	oct	PROPN
ejpam-6344	280	9	2004	2004	NUM
ejpam-6344	280	10	.	.	PUNCT
ejpam-6344	281	1	a.	a.	NOUN
ejpam-6344	281	2	pourkia	pourkia	PROPN
ejpam-6344	281	3	/	/	SYM
ejpam-6344	281	4	eur	eur	PROPN
ejpam-6344	281	5	.	.	PUNCT
ejpam-6344	282	1	j.	j.	PROPN
ejpam-6344	282	2	pure	pure	PROPN
ejpam-6344	282	3	appl	appl	PROPN
ejpam-6344	282	4	.	.	PROPN
ejpam-6344	282	5	math	math	PROPN
ejpam-6344	282	6	,	,	PUNCT
ejpam-6344	282	7	18	18	NUM
ejpam-6344	282	8	(	(	PUNCT
ejpam-6344	282	9	3	3	NUM
ejpam-6344	282	10	)	)	PUNCT
ejpam-6344	282	11	(	(	PUNCT
ejpam-6344	282	12	2025	2025	NUM
ejpam-6344	282	13	)	)	PUNCT
ejpam-6344	282	14	,	,	PUNCT
ejpam-6344	282	15	6344	6344	NUM
ejpam-6344	282	16	14	14	NUM
ejpam-6344	282	17	of	of	ADP
ejpam-6344	282	18	14	14	NUM
ejpam-6344	282	19	[	[	SYM
ejpam-6344	282	20	24	24	NUM
ejpam-6344	282	21	]	]	X
ejpam-6344	282	22	yong	yong	PROPN
ejpam-6344	282	23	zhang	zhang	PROPN
ejpam-6344	282	24	,	,	PUNCT
ejpam-6344	282	25	louis	louis	PROPN
ejpam-6344	282	26	h	h	PROPN
ejpam-6344	282	27	kauffman	kauffman	PROPN
ejpam-6344	282	28	,	,	PUNCT
ejpam-6344	282	29	and	and	CCONJ
ejpam-6344	282	30	mo	mo	PROPN
ejpam-6344	282	31	-	-	PROPN
ejpam-6344	282	32	lin	lin	PROPN
ejpam-6344	282	33	ge	ge	PROPN
ejpam-6344	282	34	.	.	PUNCT
ejpam-6344	283	1	yang	yang	PROPN
ejpam-6344	283	2	–	–	PUNCT
ejpam-6344	283	3	baxterizations	baxterization	NOUN
ejpam-6344	283	4	,	,	PUNCT
ejpam-6344	283	5	universal	universal	ADJ
ejpam-6344	283	6	quantum	quantum	NOUN
ejpam-6344	283	7	gates	gate	NOUN
ejpam-6344	283	8	and	and	CCONJ
ejpam-6344	283	9	hamiltonians	hamiltonian	NOUN
ejpam-6344	283	10	.	.	PUNCT
ejpam-6344	284	1	quantum	quantum	ADJ
ejpam-6344	284	2	information	information	NOUN
ejpam-6344	284	3	processing	processing	NOUN
ejpam-6344	284	4	,	,	PUNCT
ejpam-6344	284	5	4:159–197	4:159–197	NUM
ejpam-6344	284	6	,	,	PUNCT
ejpam-6344	284	7	2005	2005	NUM
ejpam-6344	284	8	.	.	PUNCT
ejpam-6344	285	1	[	[	X
ejpam-6344	285	2	25	25	NUM
ejpam-6344	285	3	]	]	X
ejpam-6344	285	4	ha	ha	INTJ
ejpam-6344	285	5	dye	dye	PROPN
ejpam-6344	285	6	.	.	PUNCT
ejpam-6344	286	1	unitary	unitary	ADJ
ejpam-6344	286	2	solutions	solution	NOUN
ejpam-6344	286	3	to	to	ADP
ejpam-6344	286	4	the	the	DET
ejpam-6344	286	5	yang	yang	PROPN
ejpam-6344	286	6	–	–	PUNCT
ejpam-6344	286	7	baxter	baxter	PROPN
ejpam-6344	286	8	equation	equation	NOUN
ejpam-6344	286	9	in	in	ADP
ejpam-6344	286	10	dimension	dimension	NOUN
ejpam-6344	286	11	four	four	NUM
ejpam-6344	286	12	.	.	PUNCT
ejpam-6344	286	13	quantum	quantum	ADJ
ejpam-6344	286	14	information	information	NOUN
ejpam-6344	286	15	processing	processing	NOUN
ejpam-6344	286	16	,	,	PUNCT
ejpam-6344	286	17	2:117–152	2:117–152	PROPN
ejpam-6344	286	18	,	,	PUNCT
ejpam-6344	286	19	2003	2003	NUM
ejpam-6344	286	20	.	.	PUNCT
ejpam-6344	287	1	[	[	X
ejpam-6344	287	2	26	26	NUM
ejpam-6344	287	3	]	]	PUNCT
ejpam-6344	287	4	gorjan	gorjan	NOUN
ejpam-6344	287	5	alagic	alagic	NOUN
ejpam-6344	287	6	,	,	PUNCT
ejpam-6344	287	7	michael	michael	PROPN
ejpam-6344	287	8	jarret	jarret	PROPN
ejpam-6344	287	9	,	,	PUNCT
ejpam-6344	287	10	and	and	CCONJ
ejpam-6344	287	11	stephen	stephen	PROPN
ejpam-6344	287	12	p	p	PROPN
ejpam-6344	287	13	jordan	jordan	PROPN
ejpam-6344	287	14	.	.	PUNCT
ejpam-6344	288	1	yang	yang	PROPN
ejpam-6344	288	2	–	–	PUNCT
ejpam-6344	288	3	baxter	baxter	PROPN
ejpam-6344	288	4	operators	operator	NOUN
ejpam-6344	288	5	need	need	VERB
ejpam-6344	288	6	quantum	quantum	ADJ
ejpam-6344	288	7	entanglement	entanglement	NOUN
ejpam-6344	288	8	to	to	PART
ejpam-6344	288	9	distinguish	distinguish	VERB
ejpam-6344	288	10	knots	knot	NOUN
ejpam-6344	288	11	.	.	PUNCT
ejpam-6344	289	1	journal	journal	PROPN
ejpam-6344	289	2	of	of	ADP
ejpam-6344	289	3	physics	physics	PROPN
ejpam-6344	289	4	a	a	PRON
ejpam-6344	289	5	:	:	PUNCT
ejpam-6344	289	6	mathematical	mathematical	ADJ
ejpam-6344	289	7	and	and	CCONJ
ejpam-6344	289	8	theoretical	theoretical	ADJ
ejpam-6344	289	9	,	,	PUNCT
ejpam-6344	289	10	49(7):075203	49(7):075203	NUM
ejpam-6344	289	11	,	,	PUNCT
ejpam-6344	289	12	2016	2016	NUM
ejpam-6344	289	13	.	.	PUNCT
ejpam-6344	290	1	[	[	X
ejpam-6344	290	2	27	27	NUM
ejpam-6344	290	3	]	]	X
ejpam-6344	290	4	vaughan	vaughan	PROPN
ejpam-6344	290	5	fr	fr	PROPN
ejpam-6344	290	6	jones	jones	PROPN
ejpam-6344	290	7	.	.	PUNCT
ejpam-6344	291	1	a	a	DET
ejpam-6344	291	2	polynomial	polynomial	ADJ
ejpam-6344	291	3	invariant	invariant	NOUN
ejpam-6344	291	4	for	for	ADP
ejpam-6344	291	5	knots	knot	NOUN
ejpam-6344	291	6	via	via	ADP
ejpam-6344	291	7	von	von	PROPN
ejpam-6344	291	8	neumann	neumann	PROPN
ejpam-6344	291	9	algebras	algebras	PROPN
ejpam-6344	291	10	.	.	PUNCT
ejpam-6344	292	1	bulletin	bulletin	PROPN
ejpam-6344	292	2	(	(	PUNCT
ejpam-6344	292	3	new	new	ADJ
ejpam-6344	292	4	series	series	NOUN
ejpam-6344	292	5	)	)	PUNCT
ejpam-6344	292	6	of	of	ADP
ejpam-6344	292	7	the	the	DET
ejpam-6344	292	8	american	american	PROPN
ejpam-6344	292	9	mathematical	mathematical	PROPN
ejpam-6344	292	10	society	society	NOUN
ejpam-6344	292	11	,	,	PUNCT
ejpam-6344	292	12	12(1):103–111	12(1):103–111	NUM
ejpam-6344	292	13	,	,	PUNCT
ejpam-6344	292	14	1985	1985	NUM
ejpam-6344	292	15	.	.	PUNCT
ejpam-6344	293	1	[	[	X
ejpam-6344	293	2	28	28	NUM
ejpam-6344	293	3	]	]	SYM
ejpam-6344	293	4	v	v	PROPN
ejpam-6344	293	5	turaev	turaev	PROPN
ejpam-6344	293	6	.	.	PUNCT
ejpam-6344	294	1	the	the	DET
ejpam-6344	294	2	yang	yang	PROPN
ejpam-6344	294	3	-	-	PUNCT
ejpam-6344	294	4	baxter	baxter	PROPN
ejpam-6344	294	5	equation	equation	NOUN
ejpam-6344	294	6	and	and	CCONJ
ejpam-6344	294	7	invariants	invariant	NOUN
ejpam-6344	294	8	of	of	ADP
ejpam-6344	294	9	links	link	NOUN
ejpam-6344	294	10	.	.	PUNCT
ejpam-6344	295	1	new	new	ADJ
ejpam-6344	295	2	developments	development	NOUN
ejpam-6344	295	3	in	in	ADP
ejpam-6344	295	4	the	the	DET
ejpam-6344	295	5	theory	theory	NOUN
ejpam-6344	295	6	of	of	ADP
ejpam-6344	295	7	knots	knot	NOUN
ejpam-6344	295	8	,	,	PUNCT
ejpam-6344	295	9	11:175	11:175	NUM
ejpam-6344	295	10	,	,	PUNCT
ejpam-6344	295	11	1990	1990	NUM
ejpam-6344	295	12	.	.	PUNCT
ejpam-6344	296	1	[	[	X
ejpam-6344	296	2	29	29	NUM
ejpam-6344	296	3	]	]	X
ejpam-6344	296	4	jarmo	jarmo	PROPN
ejpam-6344	296	5	hietarinta	hietarinta	PROPN
ejpam-6344	296	6	.	.	PUNCT
ejpam-6344	297	1	all	all	DET
ejpam-6344	297	2	solutions	solution	NOUN
ejpam-6344	297	3	to	to	ADP
ejpam-6344	297	4	the	the	DET
ejpam-6344	297	5	constant	constant	ADJ
ejpam-6344	297	6	quantum	quantum	PROPN
ejpam-6344	297	7	yang	yang	PROPN
ejpam-6344	297	8	-	-	PUNCT
ejpam-6344	297	9	baxter	baxter	PROPN
ejpam-6344	297	10	equation	equation	NOUN
ejpam-6344	297	11	in	in	ADP
ejpam-6344	297	12	two	two	NUM
ejpam-6344	297	13	dimensions	dimension	NOUN
ejpam-6344	297	14	.	.	PUNCT
ejpam-6344	298	1	physics	physics	NOUN
ejpam-6344	298	2	letters	letter	NOUN
ejpam-6344	298	3	a	a	DET
ejpam-6344	298	4	,	,	PUNCT
ejpam-6344	298	5	165(3):245–251	165(3):245–251	NUM
ejpam-6344	298	6	,	,	PUNCT
ejpam-6344	298	7	1992	1992	NUM
ejpam-6344	298	8	.	.	PUNCT
ejpam-6344	299	1	[	[	X
ejpam-6344	299	2	30	30	NUM
ejpam-6344	299	3	]	]	X
ejpam-6344	299	4	jl	jl	PROPN
ejpam-6344	299	5	brylinski	brylinski	PROPN
ejpam-6344	299	6	and	and	CCONJ
ejpam-6344	299	7	r	r	PROPN
ejpam-6344	299	8	brylinski	brylinski	NOUN
ejpam-6344	299	9	.	.	PUNCT
ejpam-6344	300	1	universal	universal	ADJ
ejpam-6344	300	2	quantum	quantum	ADJ
ejpam-6344	300	3	gates	gate	NOUN
ejpam-6344	300	4	.	.	PUNCT
ejpam-6344	301	1	mathematics	mathematic	NOUN
ejpam-6344	301	2	of	of	ADP
ejpam-6344	301	3	quantum	quantum	ADJ
ejpam-6344	301	4	computation	computation	NOUN
ejpam-6344	301	5	.	.	PUNCT
ejpam-6344	302	1	chapman	chapman	NOUN
ejpam-6344	302	2	and	and	CCONJ
ejpam-6344	302	3	hall	hall	PROPN
ejpam-6344	302	4	/	/	SYM
ejpam-6344	302	5	crc	crc	PROPN
ejpam-6344	302	6	,	,	PUNCT
ejpam-6344	302	7	first	first	ADJ
ejpam-6344	302	8	edition	edition	NOUN
ejpam-6344	302	9	,	,	PUNCT
ejpam-6344	302	10	2002	2002	NUM
ejpam-6344	302	11	.	.	PUNCT
ejpam-6344	303	1	[	[	X
ejpam-6344	303	2	31	31	NUM
ejpam-6344	303	3	]	]	PUNCT
ejpam-6344	303	4	arash	arash	PROPN
ejpam-6344	303	5	pourkia	pourkia	PROPN
ejpam-6344	303	6	and	and	CCONJ
ejpam-6344	303	7	j.	j.	PROPN
ejpam-6344	303	8	batle	batle	PROPN
ejpam-6344	303	9	.	.	PUNCT
ejpam-6344	304	1	cyclic	cyclic	ADJ
ejpam-6344	304	2	groups	group	NOUN
ejpam-6344	304	3	and	and	CCONJ
ejpam-6344	304	4	quantum	quantum	ADJ
ejpam-6344	304	5	logic	logic	NOUN
ejpam-6344	304	6	gates	gate	NOUN
ejpam-6344	304	7	.	.	PUNCT
ejpam-6344	305	1	annals	annal	NOUN
ejpam-6344	305	2	of	of	ADP
ejpam-6344	305	3	physics	physics	NOUN
ejpam-6344	305	4	,	,	PUNCT
ejpam-6344	305	5	373:10–27	373:10–27	NUM
ejpam-6344	305	6	,	,	PUNCT
ejpam-6344	305	7	2016	2016	NUM
ejpam-6344	305	8	.	.	PUNCT
ejpam-6344	306	1	[	[	X
ejpam-6344	306	2	32	32	NUM
ejpam-6344	306	3	]	]	PUNCT
ejpam-6344	306	4	arash	arash	NOUN
ejpam-6344	306	5	pourkia	pourkia	NOUN
ejpam-6344	306	6	.	.	PUNCT
ejpam-6344	307	1	yang	yang	PROPN
ejpam-6344	307	2	–	–	PUNCT
ejpam-6344	307	3	baxter	baxter	PROPN
ejpam-6344	307	4	equation	equation	NOUN
ejpam-6344	307	5	in	in	ADP
ejpam-6344	307	6	all	all	DET
ejpam-6344	307	7	dimensions	dimension	NOUN
ejpam-6344	307	8	and	and	CCONJ
ejpam-6344	307	9	universal	universal	ADJ
ejpam-6344	307	10	qudit	qudit	NOUN
ejpam-6344	307	11	gates	gate	NOUN
ejpam-6344	307	12	.	.	PUNCT
ejpam-6344	308	1	theor	theor	PROPN
ejpam-6344	308	2	math	math	PROPN
ejpam-6344	308	3	phys	phys	PROPN
ejpam-6344	308	4	,	,	PUNCT
ejpam-6344	308	5	219:544	219:544	NOUN
ejpam-6344	308	6	,	,	PUNCT
ejpam-6344	308	7	2024	2024	NUM
ejpam-6344	308	8	.	.	PUNCT
ejpam-6344	309	1	[	[	X
ejpam-6344	309	2	33	33	NUM
ejpam-6344	309	3	]	]	PUNCT
ejpam-6344	309	4	arash	arash	NOUN
ejpam-6344	309	5	pourkia	pourkia	NOUN
ejpam-6344	309	6	.	.	PUNCT
ejpam-6344	310	1	unitary	unitary	ADJ
ejpam-6344	310	2	and	and	CCONJ
ejpam-6344	310	3	entangling	entangle	VERB
ejpam-6344	310	4	solutions	solution	NOUN
ejpam-6344	310	5	to	to	ADP
ejpam-6344	310	6	the	the	DET
ejpam-6344	310	7	parametric	parametric	PROPN
ejpam-6344	310	8	yang	yang	PROPN
ejpam-6344	310	9	–	–	PUNCT
ejpam-6344	310	10	baxter	baxter	PROPN
ejpam-6344	310	11	equation	equation	NOUN
ejpam-6344	310	12	in	in	ADP
ejpam-6344	310	13	all	all	DET
ejpam-6344	310	14	dimensions	dimension	NOUN
ejpam-6344	310	15	.	.	PUNCT
ejpam-6344	311	1	physics	physics	NOUN
ejpam-6344	311	2	open	open	VERB
ejpam-6344	311	3	,	,	PUNCT
ejpam-6344	311	4	23:100263	23:100263	ADJ
ejpam-6344	311	5	,	,	PUNCT
ejpam-6344	311	6	2025	2025	NUM
ejpam-6344	311	7	.	.	PUNCT
ejpam-6344	312	1	[	[	X
ejpam-6344	312	2	34	34	NUM
ejpam-6344	312	3	]	]	SYM
ejpam-6344	312	4	fabienne	fabienne	PROPN
ejpam-6344	312	5	chouraqui	chouraqui	PROPN
ejpam-6344	312	6	.	.	PUNCT
ejpam-6344	313	1	the	the	DET
ejpam-6344	313	2	yang	yang	PROPN
ejpam-6344	313	3	–	–	PUNCT
ejpam-6344	313	4	baxter	baxter	PROPN
ejpam-6344	313	5	equation	equation	NOUN
ejpam-6344	313	6	,	,	PUNCT
ejpam-6344	313	7	quantum	quantum	NOUN
ejpam-6344	313	8	computing	computing	NOUN
ejpam-6344	313	9	and	and	CCONJ
ejpam-6344	313	10	quantum	quantum	ADJ
ejpam-6344	313	11	entanglement	entanglement	NOUN
ejpam-6344	313	12	.	.	PUNCT
ejpam-6344	314	1	physscr	physscr	PROPN
ejpam-6344	314	2	,	,	PUNCT
ejpam-6344	314	3	99	99	NUM
ejpam-6344	314	4	,	,	PUNCT
ejpam-6344	314	5	2024	2024	NUM
ejpam-6344	314	6	.	.	PUNCT
ejpam-6344	315	1	[	[	X
ejpam-6344	315	2	35	35	NUM
ejpam-6344	315	3	]	]	X
ejpam-6344	315	4	pramod	pramod	PROPN
ejpam-6344	315	5	padmanabhan	padmanabhan	PROPN
ejpam-6344	315	6	and	and	CCONJ
ejpam-6344	315	7	vladimir	vladimir	PROPN
ejpam-6344	315	8	korepin	korepin	PROPN
ejpam-6344	315	9	.	.	PUNCT
ejpam-6344	316	1	solving	solve	VERB
ejpam-6344	316	2	the	the	DET
ejpam-6344	316	3	yang	yang	PROPN
ejpam-6344	316	4	–	–	PUNCT
ejpam-6344	316	5	baxter	baxter	PROPN
ejpam-6344	316	6	,	,	PUNCT
ejpam-6344	316	7	tetrahedron	tetrahedron	NOUN
ejpam-6344	316	8	and	and	CCONJ
ejpam-6344	316	9	higher	high	ADJ
ejpam-6344	316	10	simplex	simplex	NOUN
ejpam-6344	316	11	equations	equation	NOUN
ejpam-6344	316	12	using	use	VERB
ejpam-6344	316	13	clifford	clifford	PROPN
ejpam-6344	316	14	algebras	algebras	PROPN
ejpam-6344	316	15	.	.	PUNCT
ejpam-6344	317	1	nuclearphysb	nuclearphysb	PROPN
ejpam-6344	317	2	,	,	PUNCT
ejpam-6344	317	3	1007	1007	NUM
ejpam-6344	317	4	,	,	PUNCT
ejpam-6344	317	5	2024	2024	NUM
ejpam-6344	317	6	.	.	PUNCT
ejpam-6344	318	1	[	[	X
ejpam-6344	318	2	36	36	NUM
ejpam-6344	318	3	]	]	X
ejpam-6344	318	4	s.	s.	PROPN
ejpam-6344	318	5	kapcak	kapcak	PROPN
ejpam-6344	318	6	.	.	PUNCT
ejpam-6344	319	1	sagemath	sagemath	PROPN
ejpam-6344	319	2	ile	ile	PROPN
ejpam-6344	319	3	matematik	matematik	PROPN
ejpam-6344	319	4	,	,	PUNCT
ejpam-6344	319	5	volume	volume	NOUN
ejpam-6344	319	6	6	6	NUM
ejpam-6344	319	7	.	.	PUNCT
ejpam-6344	319	8	nesin	nesin	PROPN
ejpam-6344	319	9	yayınevi	yayınevi	PROPN
ejpam-6344	319	10	,	,	PUNCT
ejpam-6344	319	11	2023	2023	NUM
ejpam-6344	319	12	.	.	PUNCT