id	sid	tid	token	lemma	pos
cana-279	1	1	communications	communication	NOUN
cana-279	1	2	on	on	ADP
cana-279	1	3	applied	apply	VERB
cana-279	1	4	nonlinear	nonlinear	ADJ
cana-279	1	5	analysis	analysis	NOUN
cana-279	1	6	issn	issn	NOUN
cana-279	1	7	:	:	PUNCT
cana-279	1	8	1074	1074	NUM
cana-279	1	9	-	-	PUNCT
cana-279	1	10	133x	133x	NUM
cana-279	1	11	vol	vol	NOUN
cana-279	1	12	30	30	NUM
cana-279	1	13	no	no	NOUN
cana-279	1	14	.	.	NOUN
cana-279	1	15	4	4	NUM
cana-279	1	16	(	(	PUNCT
cana-279	1	17	2023	2023	NUM
cana-279	1	18	)	)	PUNCT
cana-279	1	19	1	1	NUM
cana-279	1	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-279	1	21	quantum	quantum	NOUN
cana-279	1	22	computing	computing	NOUN
cana-279	1	23	algorithms	algorithm	NOUN
cana-279	1	24	for	for	ADP
cana-279	1	25	nonlinear	nonlinear	ADJ
cana-279	1	26	optimization	optimization	NOUN
cana-279	1	27	problems	problem	NOUN
cana-279	1	28	vinod	vinod	PROPN
cana-279	1	29	kumar	kumar	PROPN
cana-279	1	30	vishwakarma	vishwakarma	PROPN
cana-279	1	31	assistant	assistant	NOUN
cana-279	1	32	professor	professor	NOUN
cana-279	1	33	,	,	PUNCT
cana-279	1	34	department	department	NOUN
cana-279	1	35	of	of	ADP
cana-279	1	36	mathematics	mathematic	NOUN
cana-279	1	37	,	,	PUNCT
cana-279	1	38	faculty	faculty	NOUN
cana-279	1	39	of	of	ADP
cana-279	1	40	science	science	NOUN
cana-279	1	41	,	,	PUNCT
cana-279	1	42	kalinga	kalinga	PROPN
cana-279	1	43	university	university	PROPN
cana-279	1	44	,	,	PUNCT
cana-279	1	45	naya	naya	PROPN
cana-279	1	46	raipur	raipur	PROPN
cana-279	1	47	,	,	PUNCT
cana-279	1	48	chhattisgarh	chhattisgarh	PROPN
cana-279	1	49	,	,	PUNCT
cana-279	1	50	india	india	PROPN
cana-279	1	51	.	.	PUNCT
cana-279	2	1	mail	mail	NOUN
cana-279	3	1	i	i	PROPN
cana-279	3	2	d	d	PROPN
cana-279	3	3	:	:	PUNCT
cana-279	3	4	ku.vinodkumarvishwakarma@kalingauniversity.ac.in	ku.vinodkumarvishwakarma@kalingauniversity.ac.in	PROPN
cana-279	3	5	article	article	NOUN
cana-279	3	6	history	history	NOUN
cana-279	3	7	:	:	PUNCT
cana-279	3	8	received	receive	VERB
cana-279	3	9	:	:	PUNCT
cana-279	3	10	10	10	NUM
cana-279	3	11	-	-	SYM
cana-279	3	12	08	08	NUM
cana-279	3	13	-	-	PUNCT
cana-279	3	14	2023	2023	NUM
cana-279	3	15	revised	revise	VERB
cana-279	3	16	:	:	PUNCT
cana-279	3	17	15	15	NUM
cana-279	3	18	-	-	SYM
cana-279	3	19	09	09	NUM
cana-279	3	20	-	-	PUNCT
cana-279	3	21	2023	2023	NUM
cana-279	3	22	accepted	accept	VERB
cana-279	3	23	:	:	PUNCT
cana-279	3	24	04	04	NUM
cana-279	3	25	-	-	SYM
cana-279	3	26	10	10	NUM
cana-279	3	27	-	-	PUNCT
cana-279	3	28	2023	2023	NUM
cana-279	3	29	abstract	abstract	NOUN
cana-279	3	30	:	:	PUNCT
cana-279	3	31	the	the	DET
cana-279	3	32	increasing	increase	VERB
cana-279	3	33	complexity	complexity	NOUN
cana-279	3	34	of	of	ADP
cana-279	3	35	real	real	ADJ
cana-279	3	36	-	-	PUNCT
cana-279	3	37	world	world	NOUN
cana-279	3	38	optimization	optimization	NOUN
cana-279	3	39	problems	problem	NOUN
cana-279	3	40	highlights	highlight	VERB
cana-279	3	41	the	the	DET
cana-279	3	42	importance	importance	NOUN
cana-279	3	43	of	of	ADP
cana-279	3	44	this	this	DET
cana-279	3	45	research	research	NOUN
cana-279	3	46	since	since	SCONJ
cana-279	3	47	classical	classical	ADJ
cana-279	3	48	algorithms	algorithm	NOUN
cana-279	3	49	are	be	AUX
cana-279	3	50	unable	unable	ADJ
cana-279	3	51	to	to	PART
cana-279	3	52	provide	provide	VERB
cana-279	3	53	efficient	efficient	ADJ
cana-279	3	54	answers	answer	NOUN
cana-279	3	55	in	in	ADP
cana-279	3	56	these	these	DET
cana-279	3	57	cases	case	NOUN
cana-279	3	58	.	.	PUNCT
cana-279	4	1	innovative	innovative	ADJ
cana-279	4	2	methods	method	NOUN
cana-279	4	3	for	for	ADP
cana-279	4	4	fast	fast	ADJ
cana-279	4	5	and	and	CCONJ
cana-279	4	6	scalable	scalable	ADJ
cana-279	4	7	resolution	resolution	NOUN
cana-279	4	8	of	of	ADP
cana-279	4	9	nonlinear	nonlinear	ADJ
cana-279	4	10	optimization	optimization	NOUN
cana-279	4	11	problems	problem	NOUN
cana-279	4	12	are	be	AUX
cana-279	4	13	required	require	VERB
cana-279	4	14	because	because	SCONJ
cana-279	4	15	these	these	DET
cana-279	4	16	problems	problem	NOUN
cana-279	4	17	are	be	AUX
cana-279	4	18	prevalent	prevalent	ADJ
cana-279	4	19	in	in	ADP
cana-279	4	20	many	many	ADJ
cana-279	4	21	fields	field	NOUN
cana-279	4	22	.	.	PUNCT
cana-279	5	1	the	the	DET
cana-279	5	2	potential	potential	NOUN
cana-279	5	3	for	for	ADP
cana-279	5	4	quantum	quantum	NOUN
cana-279	5	5	computing	computing	NOUN
cana-279	5	6	to	to	PART
cana-279	5	7	speed	speed	VERB
cana-279	5	8	up	up	ADP
cana-279	5	9	optimization	optimization	NOUN
cana-279	5	10	processes	process	NOUN
cana-279	5	11	and	and	CCONJ
cana-279	5	12	overcome	overcome	VERB
cana-279	5	13	classical	classical	ADJ
cana-279	5	14	limitations	limitation	NOUN
cana-279	5	15	is	be	AUX
cana-279	5	16	great	great	ADJ
cana-279	5	17	,	,	PUNCT
cana-279	5	18	owing	owe	VERB
cana-279	5	19	to	to	ADP
cana-279	5	20	its	its	PRON
cana-279	5	21	superposition	superposition	NOUN
cana-279	5	22	principles	principle	NOUN
cana-279	5	23	and	and	CCONJ
cana-279	5	24	intrinsic	intrinsic	ADJ
cana-279	5	25	parallelism	parallelism	NOUN
cana-279	5	26	.	.	PUNCT
cana-279	6	1	the	the	DET
cana-279	6	2	integration	integration	NOUN
cana-279	6	3	of	of	ADP
cana-279	6	4	quantum	quantum	ADJ
cana-279	6	5	algorithms	algorithm	NOUN
cana-279	6	6	(	(	PUNCT
cana-279	6	7	i	i	NOUN
cana-279	6	8	-	-	PUNCT
cana-279	6	9	qa	qa	PROPN
cana-279	6	10	)	)	PUNCT
cana-279	6	11	into	into	ADP
cana-279	6	12	real	real	ADJ
cana-279	6	13	-	-	PUNCT
cana-279	6	14	world	world	NOUN
cana-279	6	15	applications	application	NOUN
cana-279	6	16	,	,	PUNCT
cana-279	6	17	however	however	ADV
cana-279	6	18	,	,	PUNCT
cana-279	6	19	will	will	AUX
cana-279	6	20	not	not	PART
cana-279	6	21	always	always	ADV
cana-279	6	22	be	be	AUX
cana-279	6	23	smooth	smooth	ADJ
cana-279	6	24	sailing	sailing	NOUN
cana-279	6	25	.	.	PUNCT
cana-279	7	1	there	there	PRON
cana-279	7	2	are	be	VERB
cana-279	7	3	significant	significant	ADJ
cana-279	7	4	challenges	challenge	NOUN
cana-279	7	5	associated	associate	VERB
cana-279	7	6	with	with	ADP
cana-279	7	7	preserving	preserve	VERB
cana-279	7	8	quantum	quantum	ADJ
cana-279	7	9	coherence	coherence	NOUN
cana-279	7	10	,	,	PUNCT
cana-279	7	11	correcting	correct	VERB
cana-279	7	12	errors	error	NOUN
cana-279	7	13	,	,	PUNCT
cana-279	7	14	and	and	CCONJ
cana-279	7	15	working	work	VERB
cana-279	7	16	within	within	ADP
cana-279	7	17	hardware	hardware	NOUN
cana-279	7	18	limits	limit	NOUN
cana-279	7	19	.	.	PUNCT
cana-279	8	1	to	to	PART
cana-279	8	2	enable	enable	VERB
cana-279	8	3	the	the	DET
cana-279	8	4	simultaneous	simultaneous	ADJ
cana-279	8	5	exploration	exploration	NOUN
cana-279	8	6	of	of	ADP
cana-279	8	7	solution	solution	NOUN
cana-279	8	8	spaces	space	VERB
cana-279	8	9	through	through	ADP
cana-279	8	10	quantum	quantum	ADJ
cana-279	8	11	parallelism	parallelism	NOUN
cana-279	8	12	,	,	PUNCT
cana-279	8	13	this	this	DET
cana-279	8	14	research	research	NOUN
cana-279	8	15	proposes	propose	VERB
cana-279	8	16	the	the	DET
cana-279	8	17	hybrid	hybrid	ADJ
cana-279	8	18	quantum	quantum	NOUN
cana-279	8	19	gradient	gradient	NOUN
cana-279	8	20	-classical	-classical	ADJ
cana-279	8	21	approach	approach	NOUN
cana-279	8	22	(	(	PUNCT
cana-279	8	23	hqg	hqg	PROPN
cana-279	8	24	-	-	PROPN
cana-279	8	25	ca	ca	PROPN
cana-279	8	26	)	)	PUNCT
cana-279	8	27	,	,	PUNCT
cana-279	8	28	which	which	PRON
cana-279	8	29	makes	make	VERB
cana-279	8	30	use	use	NOUN
cana-279	8	31	of	of	ADP
cana-279	8	32	parameterized	parameterized	ADJ
cana-279	8	33	quantum	quantum	ADJ
cana-279	8	34	circuits	circuit	NOUN
cana-279	8	35	to	to	PART
cana-279	8	36	represent	represent	VERB
cana-279	8	37	probable	probable	ADJ
cana-279	8	38	solutions	solution	NOUN
cana-279	8	39	.	.	PUNCT
cana-279	9	1	additionally	additionally	ADV
cana-279	9	2	,	,	PUNCT
cana-279	9	3	improves	improve	VERB
cana-279	9	4	convergence	convergence	NOUN
cana-279	9	5	rates	rate	NOUN
cana-279	9	6	through	through	ADP
cana-279	9	7	applying	apply	VERB
cana-279	9	8	quantum	quantum	ADJ
cana-279	9	9	gradient	gradient	NOUN
cana-279	9	10	information	information	NOUN
cana-279	9	11	to	to	PART
cana-279	9	12	direct	direct	VERB
cana-279	9	13	optimization	optimization	NOUN
cana-279	9	14	in	in	ADP
cana-279	9	15	the	the	DET
cana-279	9	16	quantum	quantum	ADJ
cana-279	9	17	state	state	NOUN
cana-279	9	18	space	space	NOUN
cana-279	9	19	.	.	PUNCT
cana-279	10	1	optimization	optimization	NOUN
cana-279	10	2	of	of	ADP
cana-279	10	3	portfolios	portfolio	NOUN
cana-279	10	4	in	in	ADP
cana-279	10	5	finance	finance	NOUN
cana-279	10	6	,	,	PUNCT
cana-279	10	7	adjustment	adjustment	NOUN
cana-279	10	8	of	of	ADP
cana-279	10	9	model	model	NOUN
cana-279	10	10	parameters	parameter	NOUN
cana-279	10	11	in	in	ADP
cana-279	10	12	machine	machine	NOUN
cana-279	10	13	learning	learning	NOUN
cana-279	10	14	,	,	PUNCT
cana-279	10	15	and	and	CCONJ
cana-279	10	16	optimization	optimization	NOUN
cana-279	10	17	of	of	ADP
cana-279	10	18	routes	route	NOUN
cana-279	10	19	in	in	ADP
cana-279	10	20	logistics	logistic	NOUN
cana-279	10	21	are	be	AUX
cana-279	10	22	a	a	DET
cana-279	10	23	few	few	ADJ
cana-279	10	24	examples	example	NOUN
cana-279	10	25	of	of	ADP
cana-279	10	26	the	the	DET
cana-279	10	27	many	many	ADJ
cana-279	10	28	industries	industry	NOUN
cana-279	10	29	that	that	PRON
cana-279	10	30	find	find	VERB
cana-279	10	31	use	use	NOUN
cana-279	10	32	for	for	ADP
cana-279	10	33	hqg	hqg	PROPN
cana-279	10	34	-	-	PROPN
cana-279	10	35	ca	ca	PROPN
cana-279	10	36	.	.	PUNCT
cana-279	11	1	these	these	DET
cana-279	11	2	applications	application	NOUN
cana-279	11	3	are	be	AUX
cana-279	11	4	explored	explore	VERB
cana-279	11	5	in	in	ADP
cana-279	11	6	this	this	DET
cana-279	11	7	abstract	abstract	NOUN
cana-279	11	8	,	,	PUNCT
cana-279	11	9	which	which	PRON
cana-279	11	10	highlights	highlight	VERB
cana-279	11	11	the	the	DET
cana-279	11	12	revolutionary	revolutionary	ADJ
cana-279	11	13	potential	potential	NOUN
cana-279	11	14	of	of	ADP
cana-279	11	15	hqg	hqg	PROPN
cana-279	11	16	-	-	PUNCT
cana-279	11	17	ca	ca	NOUN
cana-279	11	18	to	to	PART
cana-279	11	19	solve	solve	VERB
cana-279	11	20	optimization	optimization	NOUN
cana-279	11	21	problems	problem	NOUN
cana-279	11	22	in	in	ADP
cana-279	11	23	the	the	DET
cana-279	11	24	real	real	ADJ
cana-279	11	25	world	world	NOUN
cana-279	11	26	.	.	PUNCT
cana-279	12	1	the	the	DET
cana-279	12	2	effectiveness	effectiveness	NOUN
cana-279	12	3	of	of	ADP
cana-279	12	4	hqg	hqg	PROPN
cana-279	12	5	-	-	PROPN
cana-279	12	6	ca	ca	PROPN
cana-279	12	7	is	be	AUX
cana-279	12	8	assessed	assess	VERB
cana-279	12	9	through	through	ADP
cana-279	12	10	a	a	DET
cana-279	12	11	thorough	thorough	ADJ
cana-279	12	12	simulation	simulation	NOUN
cana-279	12	13	experiment	experiment	NOUN
cana-279	12	14	.	.	PUNCT
cana-279	13	1	performance	performance	NOUN
cana-279	13	2	measures	measure	NOUN
cana-279	13	3	such	such	ADJ
cana-279	13	4	algorithmic	algorithmic	ADJ
cana-279	13	5	speedup	speedup	NOUN
cana-279	13	6	,	,	PUNCT
cana-279	13	7	solution	solution	NOUN
cana-279	13	8	accuracy	accuracy	NOUN
cana-279	13	9	,	,	PUNCT
cana-279	13	10	and	and	CCONJ
cana-279	13	11	scalability	scalability	NOUN
cana-279	13	12	are	be	AUX
cana-279	13	13	discussed	discuss	VERB
cana-279	13	14	,	,	PUNCT
cana-279	13	15	which	which	PRON
cana-279	13	16	is	be	AUX
cana-279	13	17	based	base	VERB
cana-279	13	18	on	on	ADP
cana-279	13	19	extensive	extensive	ADJ
cana-279	13	20	testing	testing	NOUN
cana-279	13	21	and	and	CCONJ
cana-279	13	22	comparison	comparison	NOUN
cana-279	13	23	with	with	ADP
cana-279	13	24	classical	classical	ADJ
cana-279	13	25	alternatives	alternative	NOUN
cana-279	13	26	.	.	PUNCT
cana-279	14	1	the	the	DET
cana-279	14	2	present	present	ADJ
cana-279	14	3	research	research	NOUN
cana-279	14	4	provides	provide	VERB
cana-279	14	5	a	a	DET
cana-279	14	6	comprehensive	comprehensive	ADJ
cana-279	14	7	evaluation	evaluation	NOUN
cana-279	14	8	of	of	ADP
cana-279	14	9	hqg	hqg	PROPN
cana-279	14	10	-	-	PUNCT
cana-279	14	11	ca	ca	PROPN
cana-279	14	12	's	's	PART
cana-279	14	13	potential	potential	NOUN
cana-279	14	14	for	for	ADP
cana-279	14	15	tackling	tackle	VERB
cana-279	14	16	nonlinear	nonlinear	ADJ
cana-279	14	17	optimization	optimization	NOUN
cana-279	14	18	problems	problem	NOUN
cana-279	14	19	.	.	PUNCT
cana-279	15	1	keywords	keyword	NOUN
cana-279	15	2	:	:	PUNCT
cana-279	15	3	quantum	quantum	NOUN
cana-279	15	4	,	,	PUNCT
cana-279	15	5	computing	computing	NOUN
cana-279	15	6	,	,	PUNCT
cana-279	15	7	nonlinear	nonlinear	ADJ
cana-279	15	8	,	,	PUNCT
cana-279	15	9	optimization	optimization	NOUN
cana-279	15	10	,	,	PUNCT
cana-279	15	11	hybrid	hybrid	NOUN
cana-279	15	12	,	,	PUNCT
cana-279	15	13	gradient	gradient	ADJ
cana-279	15	14	,	,	PUNCT
cana-279	15	15	classical	classical	ADJ
cana-279	15	16	.	.	PUNCT
cana-279	16	1	1	1	X
cana-279	16	2	.	.	X
cana-279	16	3	introduction	introduction	NOUN
cana-279	16	4	when	when	SCONJ
cana-279	16	5	applied	apply	VERB
cana-279	16	6	to	to	ADP
cana-279	16	7	nonlinear	nonlinear	ADJ
cana-279	16	8	optimization	optimization	NOUN
cana-279	16	9	problems	problem	NOUN
cana-279	16	10	,	,	PUNCT
cana-279	16	11	quantum	quantum	NOUN
cana-279	16	12	computing	computing	NOUN
cana-279	16	13	algorithms	algorithm	NOUN
cana-279	16	14	face	face	VERB
cana-279	16	15	a	a	DET
cana-279	16	16	number	number	NOUN
cana-279	16	17	of	of	ADP
cana-279	16	18	significant	significant	ADJ
cana-279	16	19	obstacles	obstacle	NOUN
cana-279	16	20	[	[	X
cana-279	16	21	1	1	NUM
cana-279	16	22	]	]	PUNCT
cana-279	16	23	.	.	PUNCT
cana-279	17	1	applying	apply	VERB
cana-279	17	2	the	the	DET
cana-279	17	3	advantages	advantage	NOUN
cana-279	17	4	of	of	ADP
cana-279	17	5	quantum	quantum	ADJ
cana-279	17	6	computers	computer	NOUN
cana-279	17	7	to	to	ADP
cana-279	17	8	nonlinear	nonlinear	ADJ
cana-279	17	9	optimization	optimization	NOUN
cana-279	17	10	problems	problem	NOUN
cana-279	17	11	is	be	AUX
cana-279	17	12	complex	complex	ADJ
cana-279	17	13	,	,	PUNCT
cana-279	17	14	even	even	ADV
cana-279	17	15	though	though	SCONJ
cana-279	17	16	they	they	PRON
cana-279	17	17	can	can	AUX
cana-279	17	18	sometimes	sometimes	ADV
cana-279	17	19	outperform	outperform	VERB
cana-279	17	20	classical	classical	ADJ
cana-279	17	21	computers	computer	NOUN
cana-279	17	22	exponentially	exponentially	ADV
cana-279	18	1	[	[	X
cana-279	18	2	2	2	NUM
cana-279	18	3	]	]	PUNCT
cana-279	18	4	.	.	PUNCT
cana-279	19	1	the	the	DET
cana-279	19	2	difficulty	difficulty	NOUN
cana-279	19	3	of	of	ADP
cana-279	19	4	preserving	preserve	VERB
cana-279	19	5	coherence	coherence	NOUN
cana-279	19	6	and	and	CCONJ
cana-279	19	7	controlling	control	VERB
cana-279	19	8	quantum	quantum	ADJ
cana-279	19	9	entanglement	entanglement	NOUN
cana-279	19	10	during	during	ADP
cana-279	19	11	computations	computation	NOUN
cana-279	19	12	is	be	AUX
cana-279	19	13	introduced	introduce	VERB
cana-279	19	14	by	by	ADP
cana-279	19	15	the	the	DET
cana-279	19	16	use	use	NOUN
cana-279	19	17	of	of	ADP
cana-279	19	18	quantum	quantum	ADJ
cana-279	19	19	bits	bit	NOUN
cana-279	19	20	,	,	PUNCT
cana-279	19	21	or	or	CCONJ
cana-279	19	22	qubits	qubit	NOUN
cana-279	19	23	,	,	PUNCT
cana-279	19	24	in	in	ADP
cana-279	19	25	quantum	quantum	ADJ
cana-279	19	26	computers	computer	NOUN
cana-279	19	27	[	[	X
cana-279	19	28	3	3	NUM
cana-279	19	29	]	]	PUNCT
cana-279	19	30	.	.	PUNCT
cana-279	20	1	there	there	PRON
cana-279	20	2	is	be	VERB
cana-279	20	3	a	a	DET
cana-279	20	4	strong	strong	ADJ
cana-279	20	5	need	need	NOUN
cana-279	20	6	for	for	ADP
cana-279	20	7	quantum	quantum	NOUN
cana-279	20	8	parallelism	parallelism	NOUN
cana-279	20	9	due	due	ADP
cana-279	20	10	to	to	ADP
cana-279	20	11	the	the	DET
cana-279	20	12	complexity	complexity	NOUN
cana-279	20	13	of	of	ADP
cana-279	20	14	nonlinear	nonlinear	ADJ
cana-279	20	15	optimization	optimization	NOUN
cana-279	20	16	problems	problem	NOUN
cana-279	20	17	,	,	PUNCT
cana-279	20	18	which	which	PRON
cana-279	20	19	frequently	frequently	ADV
cana-279	20	20	necessitates	necessitate	VERB
cana-279	20	21	the	the	DET
cana-279	20	22	simultaneous	simultaneous	ADJ
cana-279	20	23	investigation	investigation	NOUN
cana-279	20	24	of	of	ADP
cana-279	20	25	several	several	ADJ
cana-279	20	26	solutions	solution	NOUN
cana-279	20	27	[	[	X
cana-279	20	28	4	4	NUM
cana-279	20	29	]	]	PUNCT
cana-279	20	30	.	.	PUNCT
cana-279	21	1	with	with	ADP
cana-279	21	2	an	an	DET
cana-279	21	3	increasing	increase	VERB
cana-279	21	4	number	number	NOUN
cana-279	21	5	of	of	ADP
cana-279	21	6	qubits	qubit	NOUN
cana-279	21	7	and	and	CCONJ
cana-279	21	8	computational	computational	ADJ
cana-279	21	9	complexity	complexity	NOUN
cana-279	21	10	,	,	PUNCT
cana-279	21	11	however	however	ADV
cana-279	21	12	,	,	PUNCT
cana-279	21	13	preserving	preserve	VERB
cana-279	21	14	quantum	quantum	ADJ
cana-279	21	15	coherence	coherence	NOUN
cana-279	21	16	becomes	become	VERB
cana-279	21	17	an	an	DET
cana-279	21	18	ever	ever	ADV
cana-279	21	19	-	-	PUNCT
cana-279	21	20	greater	great	ADJ
cana-279	21	21	challenge	challenge	NOUN
cana-279	21	22	[	[	X
cana-279	21	23	5	5	NUM
cana-279	21	24	]	]	PUNCT
cana-279	21	25	.	.	PUNCT
cana-279	22	1	concerns	concern	NOUN
cana-279	22	2	about	about	ADP
cana-279	22	3	accuracy	accuracy	NOUN
cana-279	22	4	,	,	PUNCT
cana-279	22	5	error	error	NOUN
cana-279	22	6	rates	rate	NOUN
cana-279	22	7	,	,	PUNCT
cana-279	22	8	and	and	CCONJ
cana-279	22	9	noise	noise	NOUN
cana-279	22	10	are	be	AUX
cana-279	22	11	intrinsic	intrinsic	ADJ
cana-279	22	12	communications	communication	NOUN
cana-279	22	13	on	on	ADP
cana-279	22	14	applied	apply	VERB
cana-279	22	15	nonlinear	nonlinear	ADJ
cana-279	22	16	analysis	analysis	NOUN
cana-279	22	17	issn	issn	NOUN
cana-279	22	18	:	:	PUNCT
cana-279	22	19	1074	1074	NUM
cana-279	22	20	-	-	PUNCT
cana-279	22	21	133x	133x	NUM
cana-279	22	22	vol	vol	NOUN
cana-279	22	23	30	30	NUM
cana-279	22	24	no	no	NOUN
cana-279	22	25	.	.	NOUN
cana-279	22	26	4	4	NUM
cana-279	22	27	(	(	PUNCT
cana-279	22	28	2023	2023	NUM
cana-279	22	29	)	)	PUNCT
cana-279	22	30	2	2	NUM
cana-279	22	31	https://internationalpubls.com	https://internationalpubls.com	X
cana-279	22	32	to	to	ADP
cana-279	22	33	quantum	quantum	ADJ
cana-279	22	34	calculations	calculation	NOUN
cana-279	22	35	;	;	PUNCT
cana-279	22	36	furthermore	furthermore	ADV
cana-279	22	37	,	,	PUNCT
cana-279	22	38	there	there	PRON
cana-279	22	39	is	be	VERB
cana-279	22	40	an	an	DET
cana-279	22	41	additional	additional	ADJ
cana-279	22	42	set	set	NOUN
cana-279	22	43	of	of	ADP
cana-279	22	44	challenges	challenge	NOUN
cana-279	22	45	associated	associate	VERB
cana-279	22	46	with	with	ADP
cana-279	22	47	encoding	encode	VERB
cana-279	22	48	conventional	conventional	ADJ
cana-279	22	49	nonlinear	nonlinear	ADJ
cana-279	22	50	optimization	optimization	NOUN
cana-279	22	51	problems	problem	NOUN
cana-279	22	52	into	into	ADP
cana-279	22	53	a	a	DET
cana-279	22	54	quantum	quantum	ADJ
cana-279	22	55	form	form	NOUN
cana-279	22	56	appropriate	appropriate	ADJ
cana-279	22	57	for	for	ADP
cana-279	22	58	quantum	quantum	NOUN
cana-279	22	59	processing	processing	NOUN
cana-279	22	60	[	[	X
cana-279	22	61	6	6	NUM
cana-279	22	62	]	]	PUNCT
cana-279	22	63	.	.	PUNCT
cana-279	23	1	working	work	VERB
cana-279	23	2	together	together	ADV
cana-279	23	3	,	,	PUNCT
cana-279	23	4	quantum	quantum	NOUN
cana-279	23	5	physicists	physicist	NOUN
cana-279	23	6	and	and	CCONJ
cana-279	23	7	optimization	optimization	NOUN
cana-279	23	8	researchers	researcher	NOUN
cana-279	23	9	are	be	AUX
cana-279	23	10	essential	essential	ADJ
cana-279	23	11	for	for	ADP
cana-279	23	12	developing	develop	VERB
cana-279	23	13	strong	strong	ADJ
cana-279	23	14	quantum	quantum	ADJ
cana-279	23	15	algorithms	algorithm	NOUN
cana-279	23	16	[	[	X
cana-279	23	17	7	7	NUM
cana-279	23	18	]	]	PUNCT
cana-279	23	19	,	,	PUNCT
cana-279	23	20	which	which	PRON
cana-279	23	21	necessitates	necessitate	VERB
cana-279	23	22	knowledge	knowledge	NOUN
cana-279	23	23	of	of	ADP
cana-279	23	24	both	both	CCONJ
cana-279	23	25	quantum	quantum	ADJ
cana-279	23	26	information	information	NOUN
cana-279	23	27	science	science	NOUN
cana-279	23	28	and	and	CCONJ
cana-279	23	29	optimization	optimization	NOUN
cana-279	23	30	theory	theory	NOUN
cana-279	23	31	[	[	X
cana-279	23	32	8	8	NUM
cana-279	23	33	]	]	X
cana-279	23	34	.	.	PUNCT
cana-279	24	1	quantum	quantum	ADJ
cana-279	24	2	computers	computer	NOUN
cana-279	24	3	have	have	VERB
cana-279	24	4	the	the	DET
cana-279	24	5	potential	potential	NOUN
cana-279	24	6	to	to	PART
cana-279	24	7	completely	completely	ADV
cana-279	24	8	transform	transform	VERB
cana-279	24	9	optimization	optimization	NOUN
cana-279	24	10	,	,	PUNCT
cana-279	24	11	the	the	DET
cana-279	24	12	field	field	NOUN
cana-279	24	13	is	be	AUX
cana-279	24	14	still	still	ADV
cana-279	24	15	in	in	ADP
cana-279	24	16	its	its	PRON
cana-279	24	17	early	early	ADJ
cana-279	24	18	stages	stage	NOUN
cana-279	24	19	[	[	X
cana-279	24	20	9	9	NUM
cana-279	24	21	]	]	PUNCT
cana-279	24	22	.	.	PUNCT
cana-279	25	1	researchers	researcher	NOUN
cana-279	25	2	are	be	AUX
cana-279	25	3	actively	actively	ADV
cana-279	25	4	working	work	VERB
cana-279	25	5	to	to	PART
cana-279	25	6	solve	solve	VERB
cana-279	25	7	the	the	DET
cana-279	25	8	complex	complex	ADJ
cana-279	25	9	problems	problem	NOUN
cana-279	25	10	of	of	ADP
cana-279	25	11	using	use	VERB
cana-279	25	12	quantum	quantum	ADJ
cana-279	25	13	advantages	advantage	NOUN
cana-279	25	14	in	in	ADP
cana-279	25	15	nonlinear	nonlinear	ADJ
cana-279	25	16	optimization	optimization	NOUN
cana-279	25	17	[	[	X
cana-279	25	18	10	10	NUM
cana-279	25	19	]	]	PUNCT
cana-279	25	20	,	,	PUNCT
cana-279	25	21	which	which	PRON
cana-279	25	22	lies	lie	VERB
cana-279	25	23	at	at	ADP
cana-279	25	24	the	the	DET
cana-279	25	25	crossroads	crossroad	NOUN
cana-279	25	26	of	of	ADP
cana-279	25	27	both	both	CCONJ
cana-279	25	28	quantum	quantum	NOUN
cana-279	25	29	computing	computing	NOUN
cana-279	25	30	and	and	CCONJ
cana-279	25	31	optimization	optimization	NOUN
cana-279	25	32	theory	theory	NOUN
cana-279	25	33	[	[	X
cana-279	25	34	11	11	NUM
cana-279	25	35	]	]	PUNCT
cana-279	25	36	.	.	PUNCT
cana-279	25	37	exploring	explore	VERB
cana-279	25	38	solutions	solution	NOUN
cana-279	25	39	to	to	ADP
cana-279	25	40	nonlinear	nonlinear	ADJ
cana-279	25	41	optimization	optimization	NOUN
cana-279	25	42	problems	problem	NOUN
cana-279	25	43	[	[	X
cana-279	25	44	12	12	NUM
cana-279	25	45	]	]	X
cana-279	25	46	tenfold	tenfold	ADV
cana-279	25	47	quicker	quick	ADV
cana-279	25	48	than	than	ADP
cana-279	25	49	classical	classical	ADJ
cana-279	25	50	algorithms	algorithm	NOUN
cana-279	25	51	is	be	AUX
cana-279	25	52	the	the	DET
cana-279	25	53	goal	goal	NOUN
cana-279	25	54	of	of	ADP
cana-279	25	55	quantum	quantum	NOUN
cana-279	25	56	computing	computing	NOUN
cana-279	25	57	techniques	technique	NOUN
cana-279	25	58	,	,	PUNCT
cana-279	25	59	which	which	PRON
cana-279	25	60	take	take	VERB
cana-279	25	61	advantage	advantage	NOUN
cana-279	25	62	of	of	ADP
cana-279	25	63	the	the	DET
cana-279	25	64	unique	unique	ADJ
cana-279	25	65	features	feature	NOUN
cana-279	25	66	of	of	ADP
cana-279	25	67	quantum	quantum	ADJ
cana-279	25	68	bits	bit	NOUN
cana-279	25	69	(	(	PUNCT
cana-279	25	70	qubits	qubit	NOUN
cana-279	25	71	)	)	PUNCT
cana-279	26	1	[	[	X
cana-279	26	2	13	13	NUM
cana-279	26	3	]	]	PUNCT
cana-279	26	4	.	.	PUNCT
cana-279	27	1	utilizing	utilize	VERB
cana-279	27	2	quantum	quantum	ADJ
cana-279	27	3	superposition	superposition	NOUN
cana-279	27	4	and	and	CCONJ
cana-279	27	5	entanglement	entanglement	NOUN
cana-279	27	6	,	,	PUNCT
cana-279	27	7	the	the	DET
cana-279	27	8	quantum	quantum	ADJ
cana-279	27	9	approximate	approximate	ADJ
cana-279	27	10	optimization	optimization	NOUN
cana-279	27	11	technique	technique	NOUN
cana-279	27	12	(	(	PUNCT
cana-279	27	13	qaoa	qaoa	PROPN
cana-279	27	14	)	)	PUNCT
cana-279	27	15	is	be	AUX
cana-279	27	16	a	a	DET
cana-279	27	17	well	well	ADV
cana-279	27	18	-	-	PUNCT
cana-279	27	19	known	know	VERB
cana-279	27	20	technique	technique	NOUN
cana-279	27	21	that	that	PRON
cana-279	27	22	investigates	investigate	VERB
cana-279	27	23	several	several	ADJ
cana-279	27	24	solutions	solution	NOUN
cana-279	27	25	concurrently	concurrently	ADV
cana-279	27	26	[	[	X
cana-279	27	27	14	14	NUM
cana-279	27	28	]	]	PUNCT
cana-279	27	29	.	.	PUNCT
cana-279	28	1	to	to	PART
cana-279	28	2	optimize	optimize	VERB
cana-279	28	3	parameters	parameter	NOUN
cana-279	28	4	,	,	PUNCT
cana-279	28	5	another	another	DET
cana-279	28	6	method	method	NOUN
cana-279	28	7	that	that	PRON
cana-279	28	8	combines	combine	VERB
cana-279	28	9	quantum	quantum	ADJ
cana-279	28	10	and	and	CCONJ
cana-279	28	11	classical	classical	ADJ
cana-279	28	12	approaches	approach	NOUN
cana-279	28	13	is	be	AUX
cana-279	28	14	variational	variational	ADJ
cana-279	28	15	quantum	quantum	NOUN
cana-279	28	16	eigensolver	eigensolver	ADV
cana-279	28	17	,	,	PUNCT
cana-279	28	18	or	or	CCONJ
cana-279	28	19	vqe	vqe	NOUN
cana-279	28	20	[	[	X
cana-279	28	21	15	15	NUM
cana-279	28	22	]	]	PUNCT
cana-279	28	23	.	.	PUNCT
cana-279	29	1	to	to	PART
cana-279	29	2	optimize	optimize	VERB
cana-279	29	3	,	,	PUNCT
cana-279	29	4	d	d	ADJ
cana-279	29	5	-	-	PUNCT
cana-279	29	6	wave	wave	NOUN
cana-279	29	7	systems	system	NOUN
cana-279	29	8	employ	employ	VERB
cana-279	29	9	quantum	quantum	ADJ
cana-279	29	10	annealing	annealing	NOUN
cana-279	29	11	,	,	PUNCT
cana-279	29	12	which	which	PRON
cana-279	29	13	mimics	mimic	VERB
cana-279	29	14	physical	physical	ADJ
cana-279	29	15	processes	process	NOUN
cana-279	29	16	.	.	PUNCT
cana-279	30	1	despite	despite	SCONJ
cana-279	30	2	these	these	DET
cana-279	30	3	encouraging	encouraging	ADJ
cana-279	30	4	methods	method	NOUN
cana-279	30	5	,	,	PUNCT
cana-279	30	6	there	there	PRON
cana-279	30	7	are	be	VERB
cana-279	30	8	several	several	ADJ
cana-279	30	9	obstacles	obstacle	NOUN
cana-279	30	10	[	[	X
cana-279	30	11	16	16	NUM
cana-279	30	12	]	]	PUNCT
cana-279	30	13	.	.	PUNCT
cana-279	31	1	because	because	SCONJ
cana-279	31	2	qubits	qubit	NOUN
cana-279	31	3	are	be	AUX
cana-279	31	4	sensitive	sensitive	ADJ
cana-279	31	5	to	to	ADP
cana-279	31	6	outside	outside	ADJ
cana-279	31	7	noise	noise	NOUN
cana-279	31	8	,	,	PUNCT
cana-279	31	9	it	it	PRON
cana-279	31	10	is	be	AUX
cana-279	31	11	an	an	DET
cana-279	31	12	enormous	enormous	ADJ
cana-279	31	13	challenge	challenge	NOUN
cana-279	31	14	to	to	PART
cana-279	31	15	keep	keep	VERB
cana-279	31	16	qubit	qubit	NOUN
cana-279	31	17	coherence	coherence	NOUN
cana-279	31	18	,	,	PUNCT
cana-279	31	19	which	which	PRON
cana-279	31	20	is	be	AUX
cana-279	31	21	an	an	DET
cana-279	31	22	important	important	ADJ
cana-279	31	23	component	component	NOUN
cana-279	31	24	of	of	ADP
cana-279	31	25	quantum	quantum	ADJ
cana-279	31	26	algorithms	algorithm	NOUN
cana-279	31	27	[	[	X
cana-279	31	28	17	17	NUM
cana-279	31	29	]	]	PUNCT
cana-279	31	30	.	.	PUNCT
cana-279	32	1	the	the	DET
cana-279	32	2	inclusion	inclusion	NOUN
cana-279	32	3	of	of	ADP
cana-279	32	4	qubits	qubit	NOUN
cana-279	32	5	and	and	CCONJ
cana-279	32	6	resources	resource	NOUN
cana-279	32	7	needed	need	VERB
cana-279	32	8	for	for	ADP
cana-279	32	9	quantum	quantum	ADJ
cana-279	32	10	error	error	NOUN
cana-279	32	11	correction	correction	NOUN
cana-279	32	12	further	far	ADV
cana-279	32	13	increases	increase	VERB
cana-279	32	14	the	the	DET
cana-279	32	15	computational	computational	ADJ
cana-279	32	16	complexity	complexity	NOUN
cana-279	32	17	.	.	PUNCT
cana-279	33	1	it	it	PRON
cana-279	33	2	is	be	AUX
cana-279	33	3	extremely	extremely	ADV
cana-279	33	4	difficult	difficult	ADJ
cana-279	33	5	to	to	PART
cana-279	33	6	put	put	VERB
cana-279	33	7	complicated	complicated	ADJ
cana-279	33	8	quantum	quantum	ADJ
cana-279	33	9	algorithms	algorithm	NOUN
cana-279	33	10	into	into	ADP
cana-279	33	11	practice	practice	NOUN
cana-279	33	12	due	due	ADP
cana-279	33	13	to	to	ADP
cana-279	33	14	limitations	limitation	NOUN
cana-279	33	15	of	of	ADP
cana-279	33	16	quantum	quantum	ADJ
cana-279	33	17	hardware	hardware	NOUN
cana-279	33	18	including	include	VERB
cana-279	33	19	gate	gate	NOUN
cana-279	33	20	faults	fault	NOUN
cana-279	33	21	and	and	CCONJ
cana-279	33	22	decoherence	decoherence	NOUN
cana-279	33	23	.	.	PUNCT
cana-279	34	1	transforming	transform	VERB
cana-279	34	2	classical	classical	ADJ
cana-279	34	3	problems	problem	NOUN
cana-279	34	4	into	into	ADP
cana-279	34	5	a	a	DET
cana-279	34	6	quantum	quantum	ADJ
cana-279	34	7	format	format	NOUN
cana-279	34	8	,	,	PUNCT
cana-279	34	9	or	or	CCONJ
cana-279	34	10	quantum	quantum	NOUN
cana-279	34	11	compilation	compilation	NOUN
cana-279	34	12	,	,	PUNCT
cana-279	34	13	presents	present	VERB
cana-279	34	14	new	new	ADJ
cana-279	34	15	difficulties	difficulty	NOUN
cana-279	34	16	in	in	ADP
cana-279	34	17	terms	term	NOUN
cana-279	34	18	of	of	ADP
cana-279	34	19	resilience	resilience	NOUN
cana-279	34	20	and	and	CCONJ
cana-279	34	21	precision	precision	NOUN
cana-279	34	22	.	.	PUNCT
cana-279	35	1	one	one	NUM
cana-279	35	2	obstacle	obstacle	NOUN
cana-279	35	3	to	to	ADP
cana-279	35	4	evaluating	evaluate	VERB
cana-279	35	5	the	the	DET
cana-279	35	6	performance	performance	NOUN
cana-279	35	7	of	of	ADP
cana-279	35	8	quantum	quantum	ADJ
cana-279	35	9	optimization	optimization	NOUN
cana-279	35	10	algorithms	algorithm	NOUN
cana-279	35	11	is	be	AUX
cana-279	35	12	the	the	DET
cana-279	35	13	absence	absence	NOUN
cana-279	35	14	of	of	ADP
cana-279	35	15	defined	define	VERB
cana-279	35	16	benchmarks	benchmark	NOUN
cana-279	35	17	in	in	ADP
cana-279	35	18	the	the	DET
cana-279	35	19	field	field	NOUN
cana-279	35	20	.	.	PUNCT
cana-279	36	1	it	it	PRON
cana-279	36	2	is	be	AUX
cana-279	36	3	necessary	necessary	ADJ
cana-279	36	4	for	for	SCONJ
cana-279	36	5	physicists	physicist	NOUN
cana-279	36	6	,	,	PUNCT
cana-279	36	7	computer	computer	NOUN
cana-279	36	8	scientists	scientist	NOUN
cana-279	36	9	,	,	PUNCT
cana-279	36	10	and	and	CCONJ
cana-279	36	11	domain	domain	NOUN
cana-279	36	12	experts	expert	NOUN
cana-279	36	13	to	to	PART
cana-279	36	14	work	work	VERB
cana-279	36	15	together	together	ADV
cana-279	36	16	because	because	SCONJ
cana-279	36	17	of	of	ADP
cana-279	36	18	the	the	DET
cana-279	36	19	level	level	NOUN
cana-279	36	20	of	of	ADP
cana-279	36	21	knowledge	knowledge	NOUN
cana-279	36	22	needed	need	VERB
cana-279	36	23	in	in	ADP
cana-279	36	24	optimization	optimization	NOUN
cana-279	36	25	theory	theory	NOUN
cana-279	36	26	and	and	CCONJ
cana-279	36	27	quantum	quantum	NOUN
cana-279	36	28	computing	computing	NOUN
cana-279	36	29	.	.	PUNCT
cana-279	37	1	to	to	PART
cana-279	37	2	fully	fully	ADV
cana-279	37	3	realize	realize	VERB
cana-279	37	4	quantum	quantum	NOUN
cana-279	37	5	computing	computing	NOUN
cana-279	37	6	's	's	PART
cana-279	37	7	promise	promise	NOUN
cana-279	37	8	in	in	ADP
cana-279	37	9	handling	handle	VERB
cana-279	37	10	nonlinear	nonlinear	ADJ
cana-279	37	11	optimization	optimization	NOUN
cana-279	37	12	problems	problem	NOUN
cana-279	37	13	,	,	PUNCT
cana-279	37	14	people	people	NOUN
cana-279	37	15	must	must	AUX
cana-279	37	16	address	address	VERB
cana-279	37	17	these	these	DET
cana-279	37	18	hurdles	hurdle	NOUN
cana-279	37	19	.	.	PUNCT
cana-279	38	1	despite	despite	SCONJ
cana-279	38	2	this	this	PRON
cana-279	38	3	,	,	PUNCT
cana-279	38	4	quantum	quantum	ADJ
cana-279	38	5	computing	computing	NOUN
cana-279	38	6	has	have	VERB
cana-279	38	7	tremendous	tremendous	ADJ
cana-279	38	8	promise	promise	NOUN
cana-279	38	9	for	for	ADP
cana-279	38	10	revolutionizing	revolutionize	VERB
cana-279	38	11	optimization	optimization	NOUN
cana-279	38	12	.	.	PUNCT
cana-279	39	1	•	•	NUM
cana-279	39	2	to	to	PART
cana-279	39	3	overcome	overcome	VERB
cana-279	39	4	the	the	DET
cana-279	39	5	shortcomings	shortcoming	NOUN
cana-279	39	6	of	of	ADP
cana-279	39	7	classical	classical	ADJ
cana-279	39	8	algorithms	algorithm	NOUN
cana-279	39	9	when	when	SCONJ
cana-279	39	10	faced	face	VERB
cana-279	39	11	with	with	ADP
cana-279	39	12	complicated	complicated	ADJ
cana-279	39	13	realworld	realworld	PROPN
cana-279	39	14	situations	situation	NOUN
cana-279	39	15	,	,	PUNCT
cana-279	39	16	this	this	DET
cana-279	39	17	research	research	NOUN
cana-279	39	18	seeks	seek	VERB
cana-279	39	19	to	to	PART
cana-279	39	20	utilize	utilize	VERB
cana-279	39	21	quantum	quantum	NOUN
cana-279	39	22	computing	computing	NOUN
cana-279	39	23	to	to	PART
cana-279	39	24	speed	speed	VERB
cana-279	39	25	up	up	ADP
cana-279	39	26	the	the	DET
cana-279	39	27	solution	solution	NOUN
cana-279	39	28	of	of	ADP
cana-279	39	29	nonlinear	nonlinear	ADJ
cana-279	39	30	optimization	optimization	NOUN
cana-279	39	31	problems	problem	NOUN
cana-279	39	32	.	.	PUNCT
cana-279	40	1	•	•	NUM
cana-279	40	2	the	the	DET
cana-279	40	3	hqg	hqg	PROPN
cana-279	40	4	-	-	PUNCT
cana-279	40	5	ca	ca	NOUN
cana-279	40	6	method	method	NOUN
cana-279	40	7	,	,	PUNCT
cana-279	40	8	which	which	PRON
cana-279	40	9	makes	make	VERB
cana-279	40	10	use	use	NOUN
cana-279	40	11	of	of	ADP
cana-279	40	12	quantum	quantum	NOUN
cana-279	40	13	parallelism	parallelism	NOUN
cana-279	40	14	,	,	PUNCT
cana-279	40	15	incorporates	incorporate	VERB
cana-279	40	16	parameterized	parameterized	ADJ
cana-279	40	17	quantum	quantum	ADJ
cana-279	40	18	circuits	circuit	NOUN
cana-279	40	19	to	to	PART
cana-279	40	20	stand	stand	VERB
cana-279	40	21	in	in	ADP
cana-279	40	22	for	for	ADP
cana-279	40	23	possible	possible	ADJ
cana-279	40	24	solutions	solution	NOUN
cana-279	40	25	.	.	PUNCT
cana-279	41	1	by	by	ADP
cana-279	41	2	utilizing	utilize	VERB
cana-279	41	3	quantum	quantum	ADJ
cana-279	41	4	gradient	gradient	NOUN
cana-279	41	5	information	information	NOUN
cana-279	41	6	for	for	ADP
cana-279	41	7	direct	direct	ADJ
cana-279	41	8	optimization	optimization	NOUN
cana-279	41	9	in	in	ADP
cana-279	41	10	the	the	DET
cana-279	41	11	quantum	quantum	ADJ
cana-279	41	12	state	state	NOUN
cana-279	41	13	space	space	NOUN
cana-279	41	14	,	,	PUNCT
cana-279	41	15	it	it	PRON
cana-279	41	16	improves	improve	VERB
cana-279	41	17	convergence	convergence	NOUN
cana-279	41	18	rates	rate	NOUN
cana-279	41	19	,	,	PUNCT
cana-279	41	20	demonstrating	demonstrate	VERB
cana-279	41	21	its	its	PRON
cana-279	41	22	novel	novel	ADJ
cana-279	41	23	application	application	NOUN
cana-279	41	24	of	of	ADP
cana-279	41	25	quantum	quantum	ADJ
cana-279	41	26	principles	principle	NOUN
cana-279	41	27	to	to	ADP
cana-279	41	28	optimization	optimization	NOUN
cana-279	41	29	problems	problem	NOUN
cana-279	41	30	.	.	PUNCT
cana-279	42	1	•	•	NUM
cana-279	42	2	the	the	DET
cana-279	42	3	research	research	NOUN
cana-279	42	4	delves	delve	VERB
cana-279	42	5	into	into	ADP
cana-279	42	6	the	the	DET
cana-279	42	7	practical	practical	ADJ
cana-279	42	8	uses	use	NOUN
cana-279	42	9	of	of	ADP
cana-279	42	10	hqg	hqg	PROPN
cana-279	42	11	-	-	PROPN
cana-279	42	12	ca	can	AUX
cana-279	42	13	across	across	ADP
cana-279	42	14	a	a	DET
cana-279	42	15	range	range	NOUN
cana-279	42	16	of	of	ADP
cana-279	42	17	sectors	sector	NOUN
cana-279	42	18	,	,	PUNCT
cana-279	42	19	such	such	ADJ
cana-279	42	20	as	as	ADP
cana-279	42	21	logistics	logistic	NOUN
cana-279	42	22	,	,	PUNCT
cana-279	42	23	machine	machine	NOUN
cana-279	42	24	learning	learning	NOUN
cana-279	42	25	,	,	PUNCT
cana-279	42	26	and	and	CCONJ
cana-279	42	27	finance	finance	NOUN
cana-279	42	28	,	,	PUNCT
cana-279	42	29	highlighting	highlight	VERB
cana-279	42	30	its	its	PRON
cana-279	42	31	ability	ability	NOUN
cana-279	42	32	to	to	PART
cana-279	42	33	transform	transform	VERB
cana-279	42	34	optimization	optimization	NOUN
cana-279	42	35	procedures	procedure	NOUN
cana-279	42	36	in	in	ADP
cana-279	42	37	the	the	DET
cana-279	42	38	actual	actual	ADJ
cana-279	42	39	world	world	NOUN
cana-279	42	40	.	.	PUNCT
cana-279	43	1	for	for	ADP
cana-279	43	2	nonlinear	nonlinear	ADJ
cana-279	43	3	optimization	optimization	NOUN
cana-279	43	4	problems	problem	NOUN
cana-279	43	5	,	,	PUNCT
cana-279	43	6	hqg	hqg	PROPN
cana-279	43	7	-	-	PUNCT
cana-279	43	8	ca	ca	PROPN
cana-279	43	9	is	be	AUX
cana-279	43	10	evaluated	evaluate	VERB
cana-279	43	11	in	in	ADP
cana-279	43	12	detail	detail	NOUN
cana-279	43	13	through	through	ADP
cana-279	43	14	extensive	extensive	ADJ
cana-279	43	15	simulation	simulation	NOUN
cana-279	43	16	tests	test	NOUN
cana-279	43	17	that	that	PRON
cana-279	43	18	take	take	VERB
cana-279	43	19	algorithmic	algorithmic	ADJ
cana-279	43	20	speedup	speedup	NOUN
cana-279	43	21	,	,	PUNCT
cana-279	43	22	solution	solution	NOUN
cana-279	43	23	accuracy	accuracy	NOUN
cana-279	43	24	,	,	PUNCT
cana-279	43	25	and	and	CCONJ
cana-279	43	26	scalability	scalability	NOUN
cana-279	43	27	into	into	ADP
cana-279	43	28	account	account	NOUN
cana-279	43	29	.	.	PUNCT
cana-279	44	1	communications	communication	NOUN
cana-279	44	2	on	on	ADP
cana-279	44	3	applied	apply	VERB
cana-279	44	4	nonlinear	nonlinear	ADJ
cana-279	44	5	analysis	analysis	NOUN
cana-279	44	6	issn	issn	NOUN
cana-279	44	7	:	:	PUNCT
cana-279	44	8	1074	1074	NUM
cana-279	44	9	-	-	PUNCT
cana-279	44	10	133x	133x	NUM
cana-279	44	11	vol	vol	NOUN
cana-279	44	12	30	30	NUM
cana-279	44	13	no	no	NOUN
cana-279	44	14	.	.	NOUN
cana-279	44	15	4	4	NUM
cana-279	44	16	(	(	PUNCT
cana-279	44	17	2023	2023	NUM
cana-279	44	18	)	)	PUNCT
cana-279	44	19	3	3	NUM
cana-279	44	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-279	44	21	here	here	ADV
cana-279	44	22	are	be	AUX
cana-279	44	23	the	the	DET
cana-279	44	24	remaining	remain	VERB
cana-279	44	25	sections	section	NOUN
cana-279	44	26	of	of	ADP
cana-279	44	27	the	the	DET
cana-279	44	28	document	document	NOUN
cana-279	44	29	:	:	PUNCT
cana-279	44	30	the	the	DET
cana-279	44	31	second	second	ADJ
cana-279	44	32	section	section	NOUN
cana-279	44	33	delves	delve	VERB
cana-279	44	34	into	into	ADP
cana-279	44	35	the	the	DET
cana-279	44	36	current	current	ADJ
cana-279	44	37	state	state	NOUN
cana-279	44	38	of	of	ADP
cana-279	44	39	affairs	affair	NOUN
cana-279	44	40	and	and	CCONJ
cana-279	44	41	identifies	identify	VERB
cana-279	44	42	areas	area	NOUN
cana-279	44	43	that	that	PRON
cana-279	44	44	require	require	VERB
cana-279	44	45	more	more	ADJ
cana-279	44	46	research	research	NOUN
cana-279	44	47	in	in	ADP
cana-279	44	48	the	the	DET
cana-279	44	49	field	field	NOUN
cana-279	44	50	of	of	ADP
cana-279	44	51	quantum	quantum	NOUN
cana-279	44	52	computing	computing	NOUN
cana-279	44	53	algorithms	algorithm	NOUN
cana-279	44	54	for	for	ADP
cana-279	44	55	nonlinear	nonlinear	ADJ
cana-279	44	56	optimization	optimization	NOUN
cana-279	44	57	problems	problem	NOUN
cana-279	44	58	.	.	PUNCT
cana-279	45	1	an	an	DET
cana-279	45	2	enhanced	enhanced	ADJ
cana-279	45	3	and	and	CCONJ
cana-279	45	4	revised	revise	VERB
cana-279	45	5	version	version	NOUN
cana-279	45	6	of	of	ADP
cana-279	45	7	the	the	DET
cana-279	45	8	hybrid	hybrid	ADJ
cana-279	45	9	quantum	quantum	NOUN
cana-279	45	10	gradient	gradient	NOUN
cana-279	45	11	-classical	-classical	ADJ
cana-279	45	12	approach	approach	NOUN
cana-279	45	13	(	(	PUNCT
cana-279	45	14	hqg	hqg	PROPN
cana-279	45	15	-	-	PUNCT
cana-279	45	16	ca	ca	PROPN
cana-279	45	17	)	)	PUNCT
cana-279	45	18	is	be	AUX
cana-279	45	19	proposed	propose	VERB
cana-279	45	20	as	as	ADP
cana-279	45	21	an	an	DET
cana-279	45	22	alternative	alternative	NOUN
cana-279	45	23	in	in	ADP
cana-279	45	24	section	section	NOUN
cana-279	45	25	iii	iii	PROPN
cana-279	45	26	.	.	PUNCT
cana-279	46	1	the	the	DET
cana-279	46	2	results	result	NOUN
cana-279	46	3	,	,	PUNCT
cana-279	46	4	analysis	analysis	NOUN
cana-279	46	5	,	,	PUNCT
cana-279	46	6	and	and	CCONJ
cana-279	46	7	comparisons	comparison	NOUN
cana-279	46	8	to	to	ADP
cana-279	46	9	prior	prior	ADJ
cana-279	46	10	methodologies	methodology	NOUN
cana-279	46	11	are	be	AUX
cana-279	46	12	presented	present	VERB
cana-279	46	13	in	in	ADP
cana-279	46	14	section	section	NOUN
cana-279	46	15	iv	iv	NUM
cana-279	46	16	.	.	PUNCT
cana-279	47	1	a	a	DET
cana-279	47	2	summary	summary	NOUN
cana-279	47	3	and	and	CCONJ
cana-279	47	4	final	final	ADJ
cana-279	47	5	analysis	analysis	NOUN
cana-279	47	6	are	be	AUX
cana-279	47	7	provided	provide	VERB
cana-279	47	8	in	in	ADP
cana-279	47	9	section	section	NOUN
cana-279	47	10	v.	v.	ADP
cana-279	47	11	2	2	NUM
cana-279	47	12	.	.	PUNCT
cana-279	48	1	literature	literature	NOUN
cana-279	48	2	survey	survey	VERB
cana-279	48	3	many	many	ADJ
cana-279	48	4	studies	study	NOUN
cana-279	48	5	have	have	AUX
cana-279	48	6	investigated	investigate	VERB
cana-279	48	7	the	the	DET
cana-279	48	8	possibility	possibility	NOUN
cana-279	48	9	of	of	ADP
cana-279	48	10	using	use	VERB
cana-279	48	11	quantum	quantum	NOUN
cana-279	48	12	computing	computing	NOUN
cana-279	48	13	to	to	PART
cana-279	48	14	solve	solve	VERB
cana-279	48	15	difficult	difficult	ADJ
cana-279	48	16	optimization	optimization	NOUN
cana-279	48	17	issues	issue	NOUN
cana-279	48	18	,	,	PUNCT
cana-279	48	19	especially	especially	ADV
cana-279	48	20	in	in	ADP
cana-279	48	21	the	the	DET
cana-279	48	22	field	field	NOUN
cana-279	48	23	of	of	ADP
cana-279	48	24	energy	energy	NOUN
cana-279	48	25	systems	system	NOUN
cana-279	48	26	.	.	PUNCT
cana-279	49	1	quantum	quantum	PROPN
cana-279	49	2	computing	computing	NOUN
cana-279	49	3	for	for	ADP
cana-279	49	4	energy	energy	NOUN
cana-279	49	5	systems	system	NOUN
cana-279	49	6	optimization	optimization	NOUN
cana-279	49	7	(	(	PUNCT
cana-279	49	8	qc	qc	NOUN
cana-279	49	9	-	-	PUNCT
cana-279	49	10	eso	eso	NOUN
cana-279	49	11	)	)	PUNCT
cana-279	50	1	[	[	X
cana-279	50	2	18	18	NUM
cana-279	50	3	]	]	PUNCT
cana-279	50	4	is	be	AUX
cana-279	50	5	investigated	investigate	VERB
cana-279	50	6	by	by	ADP
cana-279	50	7	ajagekar	ajagekar	NOUN
cana-279	50	8	,	,	PUNCT
cana-279	50	9	a.	a.	PROPN
cana-279	50	10	et	et	PROPN
cana-279	50	11	al	al	PROPN
cana-279	50	12	.	.	PROPN
cana-279	50	13	,	,	PUNCT
cana-279	50	14	who	who	PRON
cana-279	50	15	compare	compare	VERB
cana-279	50	16	and	and	CCONJ
cana-279	50	17	contrast	contrast	VERB
cana-279	50	18	classical	classical	ADJ
cana-279	50	19	and	and	CCONJ
cana-279	50	20	quantum	quantum	ADJ
cana-279	50	21	methods	method	NOUN
cana-279	50	22	and	and	CCONJ
cana-279	50	23	discuss	discuss	VERB
cana-279	50	24	the	the	DET
cana-279	50	25	difficulties	difficulty	NOUN
cana-279	50	26	encountered	encounter	VERB
cana-279	50	27	.	.	PUNCT
cana-279	51	1	it	it	PRON
cana-279	51	2	addresses	address	VERB
cana-279	51	3	energy	energy	NOUN
cana-279	51	4	optimization	optimization	NOUN
cana-279	51	5	issues	issue	NOUN
cana-279	51	6	,	,	PUNCT
cana-279	51	7	gives	give	VERB
cana-279	51	8	an	an	DET
cana-279	51	9	example	example	NOUN
cana-279	51	10	utilizing	utilize	VERB
cana-279	51	11	open	open	ADJ
cana-279	51	12	-	-	PUNCT
cana-279	51	13	source	source	NOUN
cana-279	51	14	software	software	NOUN
cana-279	51	15	tools	tool	NOUN
cana-279	51	16	,	,	PUNCT
cana-279	51	17	and	and	CCONJ
cana-279	51	18	talks	talk	VERB
cana-279	51	19	about	about	ADV
cana-279	51	20	two	two	NUM
cana-279	51	21	commercially	commercially	ADV
cana-279	51	22	accessible	accessible	ADJ
cana-279	51	23	quantum	quantum	ADJ
cana-279	51	24	systems	system	NOUN
cana-279	51	25	.	.	PUNCT
cana-279	52	1	the	the	DET
cana-279	52	2	paper	paper	NOUN
cana-279	52	3	acknowledges	acknowledge	VERB
cana-279	52	4	the	the	DET
cana-279	52	5	present	present	ADJ
cana-279	52	6	limitations	limitation	NOUN
cana-279	52	7	of	of	ADP
cana-279	52	8	quantum	quantum	ADJ
cana-279	52	9	computers	computer	NOUN
cana-279	52	10	while	while	SCONJ
cana-279	52	11	highlighting	highlight	VERB
cana-279	52	12	their	their	PRON
cana-279	52	13	potential	potential	NOUN
cana-279	52	14	to	to	PART
cana-279	52	15	improve	improve	VERB
cana-279	52	16	energy	energy	NOUN
cana-279	52	17	system	system	NOUN
cana-279	52	18	optimization	optimization	NOUN
cana-279	52	19	.	.	PUNCT
cana-279	53	1	to	to	PART
cana-279	53	2	address	address	VERB
cana-279	53	3	large	large	ADJ
cana-279	53	4	-	-	PUNCT
cana-279	53	5	scale	scale	NOUN
cana-279	53	6	mixed	mixed	ADJ
cana-279	53	7	-	-	PUNCT
cana-279	53	8	integer	integer	NOUN
cana-279	53	9	programming	programming	NOUN
cana-279	53	10	issues	issue	NOUN
cana-279	53	11	,	,	PUNCT
cana-279	53	12	ajagekar	ajagekar	PROPN
cana-279	53	13	et	et	PROPN
cana-279	53	14	al	al	PROPN
cana-279	53	15	.	.	PROPN
cana-279	54	1	present	present	ADJ
cana-279	54	2	hybrid	hybrid	NOUN
cana-279	54	3	models	model	NOUN
cana-279	54	4	that	that	PRON
cana-279	54	5	combine	combine	VERB
cana-279	54	6	deterministic	deterministic	ADJ
cana-279	54	7	algorithms	algorithm	NOUN
cana-279	54	8	with	with	ADP
cana-279	54	9	quantum	quantum	NOUN
cana-279	54	10	computing	computing	NOUN
cana-279	54	11	(	(	PUNCT
cana-279	54	12	qc	qc	PROPN
cana-279	54	13	)	)	PUNCT
cana-279	55	1	[	[	X
cana-279	55	2	19	19	NUM
cana-279	55	3	]	]	SYM
cana-279	55	4	techniques	technique	NOUN
cana-279	55	5	.	.	PUNCT
cana-279	56	1	overcoming	overcome	VERB
cana-279	56	2	the	the	DET
cana-279	56	3	limitations	limitation	NOUN
cana-279	56	4	of	of	ADP
cana-279	56	5	classical	classical	ADJ
cana-279	56	6	algorithms	algorithm	NOUN
cana-279	56	7	on	on	ADP
cana-279	56	8	classical	classical	ADJ
cana-279	56	9	computers	computer	NOUN
cana-279	56	10	,	,	PUNCT
cana-279	56	11	the	the	DET
cana-279	56	12	suggested	suggest	VERB
cana-279	56	13	qc	qc	PROPN
cana-279	56	14	-	-	PUNCT
cana-279	56	15	a	a	NOUN
cana-279	56	16	)	)	PUNCT
cana-279	56	17	based	base	VERB
cana-279	56	18	algorithms	algorithms	NOUN
cana-279	56	19	tackle	tackle	VERB
cana-279	56	20	problems	problem	NOUN
cana-279	56	21	related	relate	VERB
cana-279	56	22	to	to	ADP
cana-279	56	23	molecule	molecule	NOUN
cana-279	56	24	conformation	conformation	NOUN
cana-279	56	25	,	,	PUNCT
cana-279	56	26	job	job	NOUN
cana-279	56	27	-	-	PUNCT
cana-279	56	28	shop	shop	NOUN
cana-279	56	29	scheduling	scheduling	NOUN
cana-279	56	30	,	,	PUNCT
cana-279	56	31	manufacturing	manufacturing	NOUN
cana-279	56	32	cell	cell	NOUN
cana-279	56	33	construction	construction	NOUN
cana-279	56	34	,	,	PUNCT
cana-279	56	35	and	and	CCONJ
cana-279	56	36	vehicle	vehicle	NOUN
cana-279	56	37	routing	routing	NOUN
cana-279	56	38	with	with	ADP
cana-279	56	39	remarkable	remarkable	ADJ
cana-279	56	40	computing	computing	NOUN
cana-279	56	41	efficiency	efficiency	NOUN
cana-279	56	42	in	in	ADP
cana-279	56	43	both	both	DET
cana-279	56	44	solution	solution	NOUN
cana-279	56	45	quality	quality	NOUN
cana-279	56	46	and	and	CCONJ
cana-279	56	47	time	time	NOUN
cana-279	56	48	.	.	PUNCT
cana-279	57	1	by	by	ADP
cana-279	57	2	discretizing	discretize	VERB
cana-279	57	3	the	the	DET
cana-279	57	4	independent	independent	ADJ
cana-279	57	5	and	and	CCONJ
cana-279	57	6	dependent	dependent	ADJ
cana-279	57	7	variables	variable	NOUN
cana-279	57	8	in	in	ADP
cana-279	57	9	a	a	DET
cana-279	57	10	unique	unique	ADJ
cana-279	57	11	way	way	NOUN
cana-279	57	12	,	,	PUNCT
cana-279	57	13	shukla	shukla	NOUN
cana-279	57	14	et	et	PROPN
cana-279	57	15	al	al	PROPN
cana-279	57	16	.	.	PROPN
cana-279	57	17	frame	frame	PROPN
cana-279	57	18	trajectory	trajectory	NOUN
cana-279	57	19	optimization	optimization	NOUN
cana-279	57	20	as	as	ADP
cana-279	57	21	a	a	DET
cana-279	57	22	discrete	discrete	ADJ
cana-279	57	23	search	search	NOUN
cana-279	57	24	issue	issue	NOUN
cana-279	57	25	.	.	PUNCT
cana-279	58	1	it	it	PRON
cana-279	58	2	finds	find	VERB
cana-279	58	3	global	global	ADJ
cana-279	58	4	optimums	optimum	NOUN
cana-279	58	5	effectively	effectively	ADV
cana-279	58	6	using	use	VERB
cana-279	58	7	quantum	quantum	NOUN
cana-279	58	8	computing	compute	VERB
cana-279	58	9	algorithms	algorithm	NOUN
cana-279	58	10	(	(	PUNCT
cana-279	58	11	qca	qca	NOUN
cana-279	58	12	)	)	PUNCT
cana-279	59	1	[	[	X
cana-279	59	2	20	20	NUM
cana-279	59	3	]	]	PUNCT
cana-279	59	4	and	and	CCONJ
cana-279	59	5	classical	classical	ADJ
cana-279	59	6	discrete	discrete	ADJ
cana-279	59	7	search	search	NOUN
cana-279	59	8	strategies	strategy	NOUN
cana-279	59	9	.	.	PUNCT
cana-279	60	1	the	the	DET
cana-279	60	2	method	method	NOUN
cana-279	60	3	utilizes	utilize	VERB
cana-279	60	4	a	a	DET
cana-279	60	5	variety	variety	NOUN
cana-279	60	6	of	of	ADP
cana-279	60	7	approaches	approach	NOUN
cana-279	60	8	,	,	PUNCT
cana-279	60	9	including	include	VERB
cana-279	60	10	quantum	quantum	ADJ
cana-279	60	11	search	search	NOUN
cana-279	60	12	algorithms	algorithm	NOUN
cana-279	60	13	,	,	PUNCT
cana-279	60	14	deterministic	deterministic	ADJ
cana-279	60	15	algorithms	algorithm	NOUN
cana-279	60	16	,	,	PUNCT
cana-279	60	17	and	and	CCONJ
cana-279	60	18	randomized	randomized	ADJ
cana-279	60	19	algorithms	algorithm	NOUN
cana-279	60	20	,	,	PUNCT
cana-279	60	21	as	as	SCONJ
cana-279	60	22	shown	show	VERB
cana-279	60	23	on	on	ADP
cana-279	60	24	canonical	canonical	ADJ
cana-279	60	25	issues	issue	NOUN
cana-279	60	26	.	.	PUNCT
cana-279	61	1	when	when	SCONJ
cana-279	61	2	compared	compare	VERB
cana-279	61	3	to	to	ADP
cana-279	61	4	non	non	ADJ
cana-279	61	5	-	-	ADJ
cana-279	61	6	quantum	quantum	ADJ
cana-279	61	7	approaches	approach	NOUN
cana-279	61	8	,	,	PUNCT
cana-279	61	9	quantum	quantum	NOUN
cana-279	61	10	algorithms	algorithm	NOUN
cana-279	61	11	show	show	VERB
cana-279	61	12	a	a	DET
cana-279	61	13	quadratic	quadratic	ADJ
cana-279	61	14	speedup	speedup	NOUN
cana-279	61	15	.	.	PUNCT
cana-279	62	1	an	an	DET
cana-279	62	2	overview	overview	NOUN
cana-279	62	3	of	of	ADP
cana-279	62	4	machine	machine	NOUN
cana-279	62	5	learning	learning	NOUN
cana-279	62	6	(	(	PUNCT
cana-279	62	7	ml	ml	NOUN
cana-279	62	8	)	)	PUNCT
cana-279	62	9	on	on	ADP
cana-279	62	10	quantum	quantum	ADJ
cana-279	62	11	computers	computer	NOUN
cana-279	62	12	(	(	PUNCT
cana-279	62	13	ml	ml	NOUN
cana-279	62	14	-	-	PUNCT
cana-279	62	15	qcs	qc	VERB
cana-279	62	16	)	)	PUNCT
cana-279	63	1	[	[	X
cana-279	63	2	21	21	NUM
cana-279	63	3	]	]	PUNCT
cana-279	63	4	is	be	AUX
cana-279	63	5	provided	provide	VERB
cana-279	63	6	by	by	ADP
cana-279	63	7	ramezani	ramezani	NOUN
cana-279	63	8	,	,	PUNCT
cana-279	63	9	s.	s.	PROPN
cana-279	63	10	b.	b.	PROPN
cana-279	63	11	,	,	PUNCT
cana-279	63	12	et	et	PROPN
cana-279	63	13	al	al	PROPN
cana-279	63	14	.	.	PUNCT
cana-279	64	1	it	it	PRON
cana-279	64	2	emphasizes	emphasize	VERB
cana-279	64	3	the	the	DET
cana-279	64	4	benefits	benefit	NOUN
cana-279	64	5	of	of	ADP
cana-279	64	6	qcs	qc	NOUN
cana-279	64	7	,	,	PUNCT
cana-279	64	8	which	which	PRON
cana-279	64	9	use	use	VERB
cana-279	64	10	qubits	qubit	NOUN
cana-279	64	11	to	to	PART
cana-279	64	12	handle	handle	VERB
cana-279	64	13	massive	massive	ADJ
cana-279	64	14	tensors	tensor	NOUN
cana-279	64	15	better	well	ADV
cana-279	64	16	than	than	ADP
cana-279	64	17	before	before	ADV
cana-279	64	18	.	.	PUNCT
cana-279	65	1	the	the	DET
cana-279	65	2	review	review	NOUN
cana-279	65	3	highlights	highlight	VERB
cana-279	65	4	the	the	DET
cana-279	65	5	potential	potential	NOUN
cana-279	65	6	of	of	ADP
cana-279	65	7	quantum	quantum	ADJ
cana-279	65	8	machines	machine	NOUN
cana-279	65	9	in	in	ADP
cana-279	65	10	implementing	implement	VERB
cana-279	65	11	ml	ml	NOUN
cana-279	65	12	algorithms	algorithm	NOUN
cana-279	65	13	,	,	PUNCT
cana-279	65	14	comparing	compare	VERB
cana-279	65	15	them	they	PRON
cana-279	65	16	to	to	ADP
cana-279	65	17	conventional	conventional	ADJ
cana-279	65	18	versions	version	NOUN
cana-279	65	19	,	,	PUNCT
cana-279	65	20	and	and	CCONJ
cana-279	65	21	focuses	focus	VERB
cana-279	65	22	on	on	ADP
cana-279	65	23	the	the	DET
cana-279	65	24	speedup	speedup	NOUN
cana-279	65	25	and	and	CCONJ
cana-279	65	26	complexity	complexity	NOUN
cana-279	65	27	benefits	benefit	NOUN
cana-279	65	28	.	.	PUNCT
cana-279	66	1	an	an	DET
cana-279	66	2	overview	overview	NOUN
cana-279	66	3	of	of	ADP
cana-279	66	4	foundational	foundational	ADJ
cana-279	66	5	quantum	quantum	ADJ
cana-279	66	6	algorithms	algorithm	NOUN
cana-279	66	7	(	(	PUNCT
cana-279	66	8	fqa	fqa	NOUN
cana-279	66	9	)	)	PUNCT
cana-279	67	1	[	[	X
cana-279	67	2	22	22	NUM
cana-279	67	3	]	]	PUNCT
cana-279	67	4	for	for	ADP
cana-279	67	5	optimization	optimization	NOUN
cana-279	67	6	issues	issue	NOUN
cana-279	67	7	is	be	AUX
cana-279	67	8	given	give	VERB
cana-279	67	9	by	by	ADP
cana-279	67	10	wang	wang	PROPN
cana-279	67	11	,	,	PUNCT
cana-279	67	12	y	y	PROPN
cana-279	67	13	et	et	PROPN
cana-279	67	14	al	al	PROPN
cana-279	67	15	.	.	PROPN
cana-279	67	16	,	,	PUNCT
cana-279	67	17	and	and	CCONJ
cana-279	67	18	includes	include	VERB
cana-279	67	19	methods	method	NOUN
cana-279	67	20	like	like	ADP
cana-279	67	21	quantum	quantum	NOUN
cana-279	67	22	annealing	annealing	NOUN
cana-279	67	23	and	and	CCONJ
cana-279	67	24	grover	grover	NOUN
cana-279	67	25	search	search	NOUN
cana-279	67	26	.	.	PUNCT
cana-279	68	1	topics	topic	NOUN
cana-279	68	2	covered	cover	VERB
cana-279	68	3	include	include	VERB
cana-279	68	4	materials	material	NOUN
cana-279	68	5	design	design	NOUN
cana-279	68	6	,	,	PUNCT
cana-279	68	7	topology	topology	NOUN
cana-279	68	8	optimization	optimization	NOUN
cana-279	68	9	,	,	PUNCT
cana-279	68	10	and	and	CCONJ
cana-279	68	11	other	other	ADJ
cana-279	68	12	engineering	engineering	NOUN
cana-279	68	13	design	design	NOUN
cana-279	68	14	applications	application	NOUN
cana-279	68	15	.	.	PUNCT
cana-279	69	1	the	the	DET
cana-279	69	2	benefits	benefit	NOUN
cana-279	69	3	of	of	ADP
cana-279	69	4	quantum	quantum	NOUN
cana-279	69	5	computing	computing	NOUN
cana-279	69	6	are	be	AUX
cana-279	69	7	discussed	discuss	VERB
cana-279	69	8	,	,	PUNCT
cana-279	69	9	with	with	ADP
cana-279	69	10	an	an	DET
cana-279	69	11	emphasis	emphasis	NOUN
cana-279	69	12	on	on	ADP
cana-279	69	13	the	the	DET
cana-279	69	14	difficulties	difficulty	NOUN
cana-279	69	15	of	of	ADP
cana-279	69	16	creating	create	VERB
cana-279	69	17	trustworthy	trustworthy	ADJ
cana-279	69	18	and	and	CCONJ
cana-279	69	19	scalable	scalable	ADJ
cana-279	69	20	quantum	quantum	ADJ
cana-279	69	21	algorithms	algorithm	NOUN
cana-279	69	22	for	for	ADP
cana-279	69	23	engineering	engineer	VERB
cana-279	69	24	optimization	optimization	NOUN
cana-279	69	25	.	.	PUNCT
cana-279	70	1	overall	overall	ADV
cana-279	70	2	,	,	PUNCT
cana-279	70	3	the	the	DET
cana-279	70	4	research	research	NOUN
cana-279	70	5	shows	show	VERB
cana-279	70	6	that	that	SCONJ
cana-279	70	7	quantum	quantum	NOUN
cana-279	70	8	computing	computing	NOUN
cana-279	70	9	could	could	AUX
cana-279	70	10	be	be	AUX
cana-279	70	11	useful	useful	ADJ
cana-279	70	12	for	for	ADP
cana-279	70	13	optimizing	optimize	VERB
cana-279	70	14	energy	energy	NOUN
cana-279	70	15	systems	system	NOUN
cana-279	70	16	,	,	PUNCT
cana-279	70	17	tackling	tackle	VERB
cana-279	70	18	large	large	ADJ
cana-279	70	19	-	-	PUNCT
cana-279	70	20	scale	scale	NOUN
cana-279	70	21	programming	programming	NOUN
cana-279	70	22	challenges	challenge	NOUN
cana-279	70	23	,	,	PUNCT
cana-279	70	24	optimizing	optimize	VERB
cana-279	70	25	trajectories	trajectory	NOUN
cana-279	70	26	,	,	PUNCT
cana-279	70	27	learning	learning	NOUN
cana-279	70	28	,	,	PUNCT
cana-279	70	29	and	and	CCONJ
cana-279	70	30	developing	develop	VERB
cana-279	70	31	basic	basic	ADJ
cana-279	70	32	communications	communication	NOUN
cana-279	70	33	on	on	ADP
cana-279	70	34	applied	apply	VERB
cana-279	70	35	nonlinear	nonlinear	ADJ
cana-279	70	36	analysis	analysis	NOUN
cana-279	70	37	issn	issn	NOUN
cana-279	70	38	:	:	PUNCT
cana-279	70	39	1074	1074	NUM
cana-279	70	40	-	-	PUNCT
cana-279	70	41	133x	133x	NUM
cana-279	70	42	vol	vol	NOUN
cana-279	70	43	30	30	NUM
cana-279	70	44	no	no	NOUN
cana-279	70	45	.	.	NOUN
cana-279	70	46	4	4	NUM
cana-279	70	47	(	(	PUNCT
cana-279	70	48	2023	2023	NUM
cana-279	70	49	)	)	PUNCT
cana-279	70	50	4	4	NUM
cana-279	70	51	https://internationalpubls.com	https://internationalpubls.com	X
cana-279	70	52	quantum	quantum	NOUN
cana-279	70	53	algorithms	algorithm	NOUN
cana-279	70	54	for	for	ADP
cana-279	70	55	optimization	optimization	NOUN
cana-279	70	56	.	.	PUNCT
cana-279	71	1	one	one	NUM
cana-279	71	2	of	of	ADP
cana-279	71	3	the	the	DET
cana-279	71	4	more	more	ADV
cana-279	71	5	intriguing	intriguing	ADJ
cana-279	71	6	approaches	approach	NOUN
cana-279	71	7	is	be	AUX
cana-279	71	8	the	the	DET
cana-279	71	9	hybrid	hybrid	ADJ
cana-279	71	10	quantum	quantum	NOUN
cana-279	71	11	gradient	gradient	NOUN
cana-279	71	12	classical	classical	ADJ
cana-279	71	13	approach	approach	NOUN
cana-279	71	14	(	(	PUNCT
cana-279	71	15	hqg	hqg	PROPN
cana-279	71	16	-	-	PROPN
cana-279	71	17	ca	ca	PROPN
cana-279	71	18	)	)	PUNCT
cana-279	71	19	,	,	PUNCT
cana-279	71	20	which	which	PRON
cana-279	71	21	has	have	VERB
cana-279	71	22	the	the	DET
cana-279	71	23	potential	potential	NOUN
cana-279	71	24	to	to	PART
cana-279	71	25	solve	solve	VERB
cana-279	71	26	optimization	optimization	NOUN
cana-279	71	27	problems	problem	NOUN
cana-279	71	28	in	in	ADP
cana-279	71	29	many	many	ADJ
cana-279	71	30	different	different	ADJ
cana-279	71	31	fields	field	NOUN
cana-279	71	32	.	.	PUNCT
cana-279	72	1	3	3	X
cana-279	72	2	.	.	NUM
cana-279	72	3	proposed	propose	VERB
cana-279	72	4	method	method	NOUN
cana-279	72	5	the	the	DET
cana-279	72	6	paper	paper	NOUN
cana-279	72	7	explores	explore	VERB
cana-279	72	8	the	the	DET
cana-279	72	9	revolutionary	revolutionary	ADJ
cana-279	72	10	field	field	NOUN
cana-279	72	11	of	of	ADP
cana-279	72	12	quantum	quantum	NOUN
cana-279	72	13	computing	computing	NOUN
cana-279	72	14	as	as	ADP
cana-279	72	15	a	a	DET
cana-279	72	16	solution	solution	NOUN
cana-279	72	17	to	to	ADP
cana-279	72	18	the	the	DET
cana-279	72	19	increasing	increase	VERB
cana-279	72	20	difficulty	difficulty	NOUN
cana-279	72	21	of	of	ADP
cana-279	72	22	real	real	ADJ
cana-279	72	23	-	-	PUNCT
cana-279	72	24	world	world	NOUN
cana-279	72	25	optimization	optimization	NOUN
cana-279	72	26	problems	problem	NOUN
cana-279	72	27	that	that	PRON
cana-279	72	28	traditional	traditional	ADJ
cana-279	72	29	algorithms	algorithm	NOUN
cana-279	72	30	lack	lack	VERB
cana-279	72	31	the	the	DET
cana-279	72	32	capacity	capacity	NOUN
cana-279	72	33	to	to	PART
cana-279	72	34	handle	handle	VERB
cana-279	72	35	.	.	PUNCT
cana-279	73	1	the	the	DET
cana-279	73	2	paper	paper	NOUN
cana-279	73	3	presents	present	VERB
cana-279	73	4	the	the	DET
cana-279	73	5	hybrid	hybrid	ADJ
cana-279	73	6	quantum	quantum	NOUN
cana-279	73	7	gradient	gradient	NOUN
cana-279	73	8	-	-	PUNCT
cana-279	73	9	classical	classical	ADJ
cana-279	73	10	approach	approach	NOUN
cana-279	73	11	(	(	PUNCT
cana-279	73	12	hqg	hqg	PROPN
cana-279	73	13	-	-	PROPN
cana-279	73	14	ca	ca	PROPN
cana-279	73	15	)	)	PUNCT
cana-279	73	16	,	,	PUNCT
cana-279	73	17	which	which	PRON
cana-279	73	18	takes	take	VERB
cana-279	73	19	into	into	ADP
cana-279	73	20	account	account	NOUN
cana-279	73	21	the	the	DET
cana-279	73	22	quantum	quantum	NOUN
cana-279	73	23	systems	system	NOUN
cana-279	73	24	'	'	PART
cana-279	73	25	enormous	enormous	ADJ
cana-279	73	26	potential	potential	NOUN
cana-279	73	27	to	to	PART
cana-279	73	28	transform	transform	VERB
cana-279	73	29	optimization	optimization	NOUN
cana-279	73	30	.	.	PUNCT
cana-279	74	1	with	with	ADP
cana-279	74	2	the	the	DET
cana-279	74	3	use	use	NOUN
cana-279	74	4	of	of	ADP
cana-279	74	5	parameterized	parameterized	ADJ
cana-279	74	6	quantum	quantum	ADJ
cana-279	74	7	circuits	circuit	NOUN
cana-279	74	8	,	,	PUNCT
cana-279	74	9	hqg	hqg	PROPN
cana-279	74	10	-	-	PUNCT
cana-279	74	11	ca	can	AUX
cana-279	74	12	uses	use	VERB
cana-279	74	13	quantum	quantum	NOUN
cana-279	74	14	parallelism	parallelism	NOUN
cana-279	74	15	to	to	PART
cana-279	74	16	solve	solve	VERB
cana-279	74	17	nonlinear	nonlinear	ADJ
cana-279	74	18	optimization	optimization	NOUN
cana-279	74	19	problems	problem	NOUN
cana-279	74	20	by	by	ADP
cana-279	74	21	simultaneously	simultaneously	ADV
cana-279	74	22	exploring	explore	VERB
cana-279	74	23	solution	solution	NOUN
cana-279	74	24	spaces	space	NOUN
cana-279	74	25	.	.	PUNCT
cana-279	75	1	a	a	DET
cana-279	75	2	revolutionary	revolutionary	ADJ
cana-279	75	3	solution	solution	NOUN
cana-279	75	4	,	,	PUNCT
cana-279	75	5	hqg	hqg	PROPN
cana-279	75	6	-	-	PUNCT
cana-279	75	7	ca	ca	PROPN
cana-279	75	8	arises	arise	VERB
cana-279	75	9	as	as	ADP
cana-279	75	10	a	a	DET
cana-279	75	11	result	result	NOUN
cana-279	75	12	of	of	ADP
cana-279	75	13	quantum	quantum	ADJ
cana-279	75	14	integration	integration	NOUN
cana-279	75	15	's	's	PART
cana-279	75	16	problems	problem	NOUN
cana-279	75	17	,	,	PUNCT
cana-279	75	18	such	such	ADJ
cana-279	75	19	as	as	ADP
cana-279	75	20	error	error	NOUN
cana-279	75	21	correction	correction	NOUN
cana-279	75	22	and	and	CCONJ
cana-279	75	23	maintenance	maintenance	NOUN
cana-279	75	24	of	of	ADP
cana-279	75	25	coherence	coherence	NOUN
cana-279	75	26	.	.	PUNCT
cana-279	76	1	after	after	ADP
cana-279	76	2	undergoing	undergo	VERB
cana-279	76	3	thorough	thorough	ADJ
cana-279	76	4	simulation	simulation	NOUN
cana-279	76	5	evaluation	evaluation	NOUN
cana-279	76	6	,	,	PUNCT
cana-279	76	7	this	this	DET
cana-279	76	8	approach	approach	NOUN
cana-279	76	9	shows	show	VERB
cana-279	76	10	encouraging	encourage	VERB
cana-279	76	11	outcomes	outcome	NOUN
cana-279	76	12	regarding	regard	VERB
cana-279	76	13	algorithmic	algorithmic	ADJ
cana-279	76	14	speedup	speedup	NOUN
cana-279	76	15	,	,	PUNCT
cana-279	76	16	solution	solution	NOUN
cana-279	76	17	correctness	correctness	NOUN
cana-279	76	18	,	,	PUNCT
cana-279	76	19	and	and	CCONJ
cana-279	76	20	scalability	scalability	NOUN
cana-279	76	21	.	.	PUNCT
cana-279	77	1	it	it	PRON
cana-279	77	2	represents	represent	VERB
cana-279	77	3	a	a	DET
cana-279	77	4	major	major	ADJ
cana-279	77	5	step	step	NOUN
cana-279	77	6	forward	forward	ADV
cana-279	77	7	in	in	ADP
cana-279	77	8	the	the	DET
cana-279	77	9	quest	quest	NOUN
cana-279	77	10	for	for	ADP
cana-279	77	11	real	real	ADJ
cana-279	77	12	-	-	PUNCT
cana-279	77	13	world	world	NOUN
cana-279	77	14	optimization	optimization	NOUN
cana-279	77	15	problems	problem	NOUN
cana-279	77	16	that	that	PRON
cana-279	77	17	may	may	AUX
cana-279	77	18	be	be	AUX
cana-279	77	19	solved	solve	VERB
cana-279	77	20	using	use	VERB
cana-279	77	21	quantum	quantum	ADJ
cana-279	77	22	technology	technology	NOUN
cana-279	77	23	.	.	PUNCT
cana-279	78	1	figure	figure	VERB
cana-279	78	2	1	1	NUM
cana-279	78	3	:	:	PUNCT
cana-279	78	4	application	application	NOUN
cana-279	78	5	of	of	ADP
cana-279	78	6	quantum	quantum	NOUN
cana-279	78	7	computing	computing	NOUN
cana-279	78	8	to	to	ADP
cana-279	78	9	nonlinear	nonlinear	ADJ
cana-279	78	10	optimization	optimization	NOUN
cana-279	78	11	issues	issue	NOUN
cana-279	78	12	nonlinear	nonlinear	ADJ
cana-279	78	13	optimization	optimization	NOUN
cana-279	78	14	issues	issue	NOUN
cana-279	78	15	are	be	AUX
cana-279	78	16	tackled	tackle	VERB
cana-279	78	17	by	by	ADP
cana-279	78	18	a	a	DET
cana-279	78	19	full	full	ADJ
cana-279	78	20	sequence	sequence	NOUN
cana-279	78	21	of	of	ADP
cana-279	78	22	quantum	quantum	NOUN
cana-279	78	23	computing	computing	NOUN
cana-279	78	24	methods	method	NOUN
cana-279	78	25	,	,	PUNCT
cana-279	78	26	as	as	SCONJ
cana-279	78	27	shown	show	VERB
cana-279	78	28	in	in	ADP
cana-279	78	29	figure	figure	NOUN
cana-279	78	30	1	1	NUM
cana-279	78	31	.	.	PUNCT
cana-279	79	1	with	with	ADP
cana-279	79	2	each	each	DET
cana-279	79	3	new	new	ADJ
cana-279	79	4	development	development	NOUN
cana-279	79	5	in	in	ADP
cana-279	79	6	quantum	quantum	NOUN
cana-279	79	7	computing	computing	NOUN
cana-279	79	8	,	,	PUNCT
cana-279	79	9	the	the	DET
cana-279	79	10	possibility	possibility	NOUN
cana-279	79	11	of	of	ADP
cana-279	79	12	using	use	VERB
cana-279	79	13	this	this	DET
cana-279	79	14	technology	technology	NOUN
cana-279	79	15	to	to	PART
cana-279	79	16	solve	solve	VERB
cana-279	79	17	difficult	difficult	ADJ
cana-279	79	18	optimization	optimization	NOUN
cana-279	79	19	issues	issue	NOUN
cana-279	79	20	becomes	become	VERB
cana-279	79	21	clearer	clear	ADJ
cana-279	79	22	.	.	PUNCT
cana-279	80	1	to	to	PART
cana-279	80	2	better	well	ADV
cana-279	80	3	grasp	grasp	VERB
cana-279	80	4	the	the	DET
cana-279	80	5	methodical	methodical	ADJ
cana-279	80	6	procedures	procedure	NOUN
cana-279	80	7	needed	need	VERB
cana-279	80	8	in	in	ADP
cana-279	80	9	applying	apply	VERB
cana-279	80	10	quantum	quantum	ADJ
cana-279	80	11	algorithms	algorithm	NOUN
cana-279	80	12	to	to	ADP
cana-279	80	13	nonlinear	nonlinear	ADJ
cana-279	80	14	optimization	optimization	NOUN
cana-279	80	15	,	,	PUNCT
cana-279	80	16	the	the	DET
cana-279	80	17	figure	figure	NOUN
cana-279	80	18	1	1	NUM
cana-279	80	19	is	be	AUX
cana-279	80	20	provided	provide	VERB
cana-279	80	21	as	as	ADP
cana-279	80	22	an	an	DET
cana-279	80	23	illustration	illustration	NOUN
cana-279	80	24	.	.	PUNCT
cana-279	81	1	basic	basic	ADJ
cana-279	81	2	components	component	NOUN
cana-279	81	3	of	of	ADP
cana-279	81	4	the	the	DET
cana-279	81	5	optimization	optimization	NOUN
cana-279	81	6	issue	issue	NOUN
cana-279	81	7	make	make	VERB
cana-279	81	8	up	up	ADP
cana-279	81	9	the	the	DET
cana-279	81	10	traditional	traditional	ADJ
cana-279	81	11	input	input	NOUN
cana-279	81	12	that	that	PRON
cana-279	81	13	starts	start	VERB
cana-279	81	14	the	the	DET
cana-279	81	15	process	process	NOUN
cana-279	81	16	.	.	PUNCT
cana-279	82	1	starting	start	VERB
cana-279	82	2	parameter	parameter	NOUN
cana-279	82	3	values	value	NOUN
cana-279	82	4	,	,	PUNCT
cana-279	82	5	problem	problem	NOUN
cana-279	82	6	bounds	bound	NOUN
cana-279	82	7	defined	define	VERB
cana-279	82	8	by	by	ADP
cana-279	82	9	constraints	constraint	NOUN
cana-279	82	10	,	,	PUNCT
cana-279	82	11	and	and	CCONJ
cana-279	82	12	the	the	DET
cana-279	82	13	desired	desire	VERB
cana-279	82	14	function	function	NOUN
cana-279	82	15	to	to	PART
cana-279	82	16	optimize	optimize	VERB
cana-279	82	17	are	be	AUX
cana-279	82	18	all	all	PRON
cana-279	82	19	part	part	NOUN
cana-279	82	20	of	of	ADP
cana-279	82	21	this	this	PRON
cana-279	82	22	.	.	PUNCT
cana-279	83	1	before	before	SCONJ
cana-279	83	2	the	the	DET
cana-279	83	3	quantum	quantum	NOUN
cana-279	83	4	processing	processing	NOUN
cana-279	83	5	can	can	AUX
cana-279	83	6	begin	begin	VERB
cana-279	83	7	,	,	PUNCT
cana-279	83	8	these	these	DET
cana-279	83	9	classical	classical	ADJ
cana-279	83	10	inputs	input	NOUN
cana-279	83	11	must	must	AUX
cana-279	83	12	be	be	AUX
cana-279	83	13	established	establish	VERB
cana-279	83	14	.	.	PUNCT
cana-279	84	1	the	the	DET
cana-279	84	2	input	input	NOUN
cana-279	84	3	data	datum	NOUN
cana-279	84	4	must	must	AUX
cana-279	84	5	undergo	undergo	VERB
cana-279	84	6	classical	classical	ADJ
cana-279	84	7	pre	pre	NOUN
cana-279	84	8	-	-	NOUN
cana-279	84	9	processing	processing	NOUN
cana-279	84	10	in	in	ADP
cana-279	84	11	order	order	NOUN
cana-279	84	12	for	for	SCONJ
cana-279	84	13	quantum	quantum	NOUN
cana-279	84	14	processing	processing	NOUN
cana-279	84	15	to	to	PART
cana-279	84	16	be	be	AUX
cana-279	84	17	effective	effective	ADJ
cana-279	84	18	.	.	PUNCT
cana-279	85	1	processing	processing	NOUN
cana-279	85	2	and	and	CCONJ
cana-279	85	3	analysis	analysis	NOUN
cana-279	85	4	of	of	ADP
cana-279	85	5	initial	initial	ADJ
cana-279	85	6	data	datum	NOUN
cana-279	85	7	using	use	VERB
cana-279	85	8	classical	classical	ADJ
cana-279	85	9	methods	method	NOUN
cana-279	85	10	is	be	AUX
cana-279	85	11	part	part	NOUN
cana-279	85	12	of	of	ADP
cana-279	85	13	this	this	DET
cana-279	85	14	component	component	NOUN
cana-279	85	15	.	.	PUNCT
cana-279	86	1	that	that	SCONJ
cana-279	86	2	the	the	DET
cana-279	86	3	data	data	NOUN
cana-279	86	4	is	be	AUX
cana-279	86	5	prepared	prepare	VERB
cana-279	86	6	for	for	ADP
cana-279	86	7	quantum	quantum	NOUN
cana-279	86	8	encoding	encoding	NOUN
cana-279	86	9	is	be	AUX
cana-279	86	10	a	a	DET
cana-279	86	11	crucial	crucial	ADJ
cana-279	86	12	condition	condition	NOUN
cana-279	86	13	for	for	ADP
cana-279	86	14	this	this	DET
cana-279	86	15	stage	stage	NOUN
cana-279	86	16	.	.	PUNCT
cana-279	87	1	communications	communication	NOUN
cana-279	87	2	on	on	ADP
cana-279	87	3	applied	apply	VERB
cana-279	87	4	nonlinear	nonlinear	ADJ
cana-279	87	5	analysis	analysis	NOUN
cana-279	87	6	issn	issn	NOUN
cana-279	87	7	:	:	PUNCT
cana-279	87	8	1074	1074	NUM
cana-279	87	9	-	-	PUNCT
cana-279	87	10	133x	133x	NUM
cana-279	87	11	vol	vol	NOUN
cana-279	87	12	30	30	NUM
cana-279	87	13	no	no	NOUN
cana-279	87	14	.	.	NOUN
cana-279	87	15	4	4	NUM
cana-279	87	16	(	(	PUNCT
cana-279	87	17	2023	2023	NUM
cana-279	87	18	)	)	PUNCT
cana-279	87	19	5	5	NUM
cana-279	87	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-279	87	21	transforming	transform	VERB
cana-279	87	22	information	information	NOUN
cana-279	87	23	from	from	ADP
cana-279	87	24	a	a	DET
cana-279	87	25	classical	classical	ADJ
cana-279	87	26	format	format	NOUN
cana-279	87	27	into	into	ADP
cana-279	87	28	qubits	qubit	NOUN
cana-279	87	29	(	(	PUNCT
cana-279	87	30	quantum	quantum	NOUN
cana-279	87	31	bits	bit	NOUN
cana-279	87	32	)	)	PUNCT
cana-279	87	33	is	be	AUX
cana-279	87	34	the	the	DET
cana-279	87	35	process	process	NOUN
cana-279	87	36	of	of	ADP
cana-279	87	37	quantum	quantum	NOUN
cana-279	87	38	encoding	encoding	NOUN
cana-279	87	39	.	.	PUNCT
cana-279	88	1	in	in	ADP
cana-279	88	2	this	this	DET
cana-279	88	3	optimization	optimization	NOUN
cana-279	88	4	problem	problem	NOUN
cana-279	88	5	,	,	PUNCT
cana-279	88	6	these	these	DET
cana-279	88	7	qubits	qubit	NOUN
cana-279	88	8	stand	stand	VERB
cana-279	88	9	in	in	ADP
cana-279	88	10	for	for	ADP
cana-279	88	11	the	the	DET
cana-279	88	12	parameters	parameter	NOUN
cana-279	88	13	and	and	CCONJ
cana-279	88	14	constraints	constraint	NOUN
cana-279	88	15	.	.	PUNCT
cana-279	89	1	because	because	SCONJ
cana-279	89	2	it	it	PRON
cana-279	89	3	establishes	establish	VERB
cana-279	89	4	a	a	DET
cana-279	89	5	connection	connection	NOUN
cana-279	89	6	among	among	ADP
cana-279	89	7	classical	classical	ADJ
cana-279	89	8	&	&	CCONJ
cana-279	89	9	quantum	quantum	NOUN
cana-279	89	10	systems	system	NOUN
cana-279	89	11	,	,	PUNCT
cana-279	89	12	this	this	DET
cana-279	89	13	step	step	NOUN
cana-279	89	14	is	be	AUX
cana-279	89	15	essential	essential	ADJ
cana-279	89	16	for	for	ADP
cana-279	89	17	the	the	DET
cana-279	89	18	next	next	ADJ
cana-279	89	19	quantum	quantum	NOUN
cana-279	89	20	processing	processing	NOUN
cana-279	89	21	.	.	PUNCT
cana-279	90	1	a	a	DET
cana-279	90	2	quantum	quantum	ADJ
cana-279	90	3	method	method	NOUN
cana-279	90	4	developed	develop	VERB
cana-279	90	5	for	for	ADP
cana-279	90	6	nonlinear	nonlinear	ADJ
cana-279	90	7	optimization	optimization	NOUN
cana-279	90	8	issues	issue	NOUN
cana-279	90	9	is	be	AUX
cana-279	90	10	executed	execute	VERB
cana-279	90	11	centrally	centrally	ADV
cana-279	90	12	in	in	ADP
cana-279	90	13	the	the	DET
cana-279	90	14	workflow	workflow	NOUN
cana-279	90	15	.	.	PUNCT
cana-279	91	1	for	for	ADP
cana-279	91	2	a	a	DET
cana-279	91	3	more	more	ADV
cana-279	91	4	efficient	efficient	ADJ
cana-279	91	5	exploration	exploration	NOUN
cana-279	91	6	of	of	ADP
cana-279	91	7	the	the	DET
cana-279	91	8	large	large	ADJ
cana-279	91	9	solution	solution	NOUN
cana-279	91	10	space	space	NOUN
cana-279	91	11	,	,	PUNCT
cana-279	91	12	quantum	quantum	ADJ
cana-279	91	13	algorithms	algorithm	NOUN
cana-279	91	14	like	like	ADP
cana-279	91	15	vqe	vqe	NOUN
cana-279	91	16	or	or	CCONJ
cana-279	91	17	quantum	quantum	NOUN
cana-279	91	18	approximate	approximate	ADJ
cana-279	91	19	optimization	optimization	NOUN
cana-279	91	20	algorithm	algorithm	NOUN
cana-279	91	21	(	(	PUNCT
cana-279	91	22	qaoa	qaoa	PROPN
cana-279	91	23	)	)	PUNCT
cana-279	91	24	are	be	AUX
cana-279	91	25	used	use	VERB
cana-279	91	26	.	.	PUNCT
cana-279	92	1	the	the	DET
cana-279	92	2	next	next	ADJ
cana-279	92	3	step	step	NOUN
cana-279	92	4	in	in	ADP
cana-279	92	5	solving	solve	VERB
cana-279	92	6	a	a	DET
cana-279	92	7	quantum	quantum	ADJ
cana-279	92	8	problem	problem	NOUN
cana-279	92	9	is	be	AUX
cana-279	92	10	measuring	measure	VERB
cana-279	92	11	the	the	DET
cana-279	92	12	quantum	quantum	ADJ
cana-279	92	13	state	state	NOUN
cana-279	92	14	after	after	ADP
cana-279	92	15	processing	process	VERB
cana-279	92	16	it	it	PRON
cana-279	92	17	.	.	PUNCT
cana-279	93	1	classical	classical	ADJ
cana-279	93	2	bits	bit	NOUN
cana-279	93	3	indicating	indicate	VERB
cana-279	93	4	the	the	DET
cana-279	93	5	optimum	optimum	ADJ
cana-279	93	6	parameters	parameter	NOUN
cana-279	93	7	constitute	constitute	VERB
cana-279	93	8	the	the	DET
cana-279	93	9	measurement	measurement	NOUN
cana-279	93	10	results	result	NOUN
cana-279	93	11	.	.	PUNCT
cana-279	94	1	important	important	ADJ
cana-279	94	2	information	information	NOUN
cana-279	94	3	may	may	AUX
cana-279	94	4	be	be	AUX
cana-279	94	5	retrieved	retrieve	VERB
cana-279	94	6	from	from	ADP
cana-279	94	7	the	the	DET
cana-279	94	8	system	system	NOUN
cana-279	94	9	of	of	ADP
cana-279	94	10	quantum	quantum	ADJ
cana-279	94	11	particles	particle	NOUN
cana-279	94	12	by	by	ADP
cana-279	94	13	doing	do	VERB
cana-279	94	14	this	this	DET
cana-279	94	15	measurement	measurement	NOUN
cana-279	94	16	.	.	PUNCT
cana-279	95	1	afterwards	afterwards	ADV
cana-279	95	2	,	,	PUNCT
cana-279	95	3	the	the	DET
cana-279	95	4	classical	classical	ADJ
cana-279	95	5	bits	bit	NOUN
cana-279	95	6	that	that	PRON
cana-279	95	7	were	be	AUX
cana-279	95	8	retrieved	retrieve	VERB
cana-279	95	9	during	during	ADP
cana-279	95	10	the	the	DET
cana-279	95	11	quantum	quantum	ADJ
cana-279	95	12	measurement	measurement	NOUN
cana-279	95	13	are	be	AUX
cana-279	95	14	processed	process	VERB
cana-279	95	15	.	.	PUNCT
cana-279	96	1	to	to	PART
cana-279	96	2	make	make	VERB
cana-279	96	3	sure	sure	ADJ
cana-279	96	4	the	the	DET
cana-279	96	5	result	result	NOUN
cana-279	96	6	is	be	AUX
cana-279	96	7	even	even	ADV
cana-279	96	8	more	more	ADV
cana-279	96	9	precise	precise	ADJ
cana-279	96	10	and	and	CCONJ
cana-279	96	11	fits	fit	VERB
cana-279	96	12	inside	inside	ADP
cana-279	96	13	the	the	DET
cana-279	96	14	parameters	parameter	NOUN
cana-279	96	15	,	,	PUNCT
cana-279	96	16	classical	classical	ADJ
cana-279	96	17	methods	method	NOUN
cana-279	96	18	are	be	AUX
cana-279	96	19	used	use	VERB
cana-279	96	20	.	.	PUNCT
cana-279	97	1	after	after	SCONJ
cana-279	97	2	the	the	DET
cana-279	97	3	solution	solution	NOUN
cana-279	97	4	has	have	AUX
cana-279	97	5	been	be	AUX
cana-279	97	6	obtained	obtain	VERB
cana-279	97	7	from	from	ADP
cana-279	97	8	quantum	quantum	ADJ
cana-279	97	9	mechanics	mechanic	NOUN
cana-279	97	10	,	,	PUNCT
cana-279	97	11	this	this	DET
cana-279	97	12	step	step	NOUN
cana-279	97	13	ensures	ensure	VERB
cana-279	97	14	its	its	PRON
cana-279	97	15	quality	quality	NOUN
cana-279	97	16	.	.	PUNCT
cana-279	98	1	the	the	DET
cana-279	98	2	output	output	NOUN
cana-279	98	3	step	step	NOUN
cana-279	98	4	showcases	showcase	VERB
cana-279	98	5	the	the	DET
cana-279	98	6	nonlinear	nonlinear	ADJ
cana-279	98	7	optimization	optimization	NOUN
cana-279	98	8	problem	problem	NOUN
cana-279	98	9	's	's	PART
cana-279	98	10	ultimate	ultimate	ADJ
cana-279	98	11	optimized	optimize	VERB
cana-279	98	12	solution	solution	NOUN
cana-279	98	13	.	.	PUNCT
cana-279	99	1	part	part	NOUN
cana-279	99	2	of	of	ADP
cana-279	99	3	this	this	PRON
cana-279	99	4	is	be	AUX
cana-279	99	5	the	the	DET
cana-279	99	6	value	value	NOUN
cana-279	99	7	of	of	ADP
cana-279	99	8	the	the	DET
cana-279	99	9	objective	objective	ADJ
cana-279	99	10	function	function	NOUN
cana-279	99	11	and	and	CCONJ
cana-279	99	12	the	the	DET
cana-279	99	13	optimized	optimize	VERB
cana-279	99	14	parameter	parameter	NOUN
cana-279	99	15	values	value	NOUN
cana-279	99	16	.	.	PUNCT
cana-279	100	1	the	the	DET
cana-279	100	2	output	output	NOUN
cana-279	100	3	provides	provide	VERB
cana-279	100	4	a	a	DET
cana-279	100	5	concrete	concrete	ADJ
cana-279	100	6	outcome	outcome	NOUN
cana-279	100	7	that	that	PRON
cana-279	100	8	can	can	AUX
cana-279	100	9	be	be	AUX
cana-279	100	10	understood	understand	VERB
cana-279	100	11	and	and	CCONJ
cana-279	100	12	utilized	utilize	VERB
cana-279	100	13	within	within	ADP
cana-279	100	14	the	the	DET
cana-279	100	15	practical	practical	ADJ
cana-279	100	16	setting	setting	NOUN
cana-279	100	17	of	of	ADP
cana-279	100	18	the	the	DET
cana-279	100	19	optimization	optimization	NOUN
cana-279	100	20	issue	issue	NOUN
cana-279	100	21	.	.	PUNCT
cana-279	101	1	performance	performance	NOUN
cana-279	101	2	evaluation	evaluation	NOUN
cana-279	101	3	of	of	ADP
cana-279	101	4	the	the	DET
cana-279	101	5	quantum	quantum	NOUN
cana-279	101	6	method	method	NOUN
cana-279	101	7	is	be	AUX
cana-279	101	8	the	the	DET
cana-279	101	9	last	last	ADJ
cana-279	101	10	step	step	NOUN
cana-279	101	11	.	.	PUNCT
cana-279	102	1	it	it	PRON
cana-279	102	2	is	be	AUX
cana-279	102	3	possible	possible	ADJ
cana-279	102	4	to	to	PART
cana-279	102	5	measure	measure	VERB
cana-279	102	6	the	the	DET
cana-279	102	7	quantum	quantum	ADJ
cana-279	102	8	solution	solution	NOUN
cana-279	102	9	's	's	PART
cana-279	102	10	conformity	conformity	NOUN
cana-279	102	11	to	to	ADP
cana-279	102	12	the	the	DET
cana-279	102	13	problem	problem	NOUN
cana-279	102	14	's	's	PART
cana-279	102	15	specifications	specification	NOUN
cana-279	102	16	using	use	VERB
cana-279	102	17	these	these	DET
cana-279	102	18	metrics	metric	NOUN
cana-279	102	19	.	.	PUNCT
cana-279	103	1	in	in	ADP
cana-279	103	2	order	order	NOUN
cana-279	103	3	to	to	PART
cana-279	103	4	grasp	grasp	VERB
cana-279	103	5	the	the	DET
cana-279	103	6	benefits	benefit	NOUN
cana-279	103	7	and	and	CCONJ
cana-279	103	8	drawbacks	drawback	NOUN
cana-279	103	9	of	of	ADP
cana-279	103	10	quantum	quantum	NOUN
cana-279	103	11	procedures	procedure	NOUN
cana-279	103	12	in	in	ADP
cana-279	103	13	comparison	comparison	NOUN
cana-279	103	14	to	to	ADP
cana-279	103	15	classical	classical	ADJ
cana-279	103	16	methods	method	NOUN
cana-279	103	17	,	,	PUNCT
cana-279	103	18	this	this	DET
cana-279	103	19	stage	stage	NOUN
cana-279	103	20	is	be	AUX
cana-279	103	21	essential	essential	ADJ
cana-279	103	22	.	.	PUNCT
cana-279	104	1	quantum	quantum	ADJ
cana-279	104	2	computing	computing	NOUN
cana-279	104	3	solutions	solution	NOUN
cana-279	104	4	for	for	ADP
cana-279	104	5	nonlinear	nonlinear	ADJ
cana-279	104	6	optimization	optimization	NOUN
cana-279	104	7	issues	issue	NOUN
cana-279	104	8	include	include	VERB
cana-279	104	9	a	a	DET
cana-279	104	10	comprehensive	comprehensive	ADJ
cana-279	104	11	process	process	NOUN
cana-279	104	12	,	,	PUNCT
cana-279	104	13	as	as	SCONJ
cana-279	104	14	shown	show	VERB
cana-279	104	15	in	in	ADP
cana-279	104	16	figure	figure	NOUN
cana-279	104	17	1	1	NUM
cana-279	104	18	.	.	PUNCT
cana-279	105	1	every	every	DET
cana-279	105	2	step	step	NOUN
cana-279	105	3	,	,	PUNCT
cana-279	105	4	from	from	ADP
cana-279	105	5	taking	take	VERB
cana-279	105	6	classical	classical	ADJ
cana-279	105	7	input	input	NOUN
cana-279	105	8	to	to	ADP
cana-279	105	9	processing	process	VERB
cana-279	105	10	quantum	quantum	ADJ
cana-279	105	11	data	datum	NOUN
cana-279	105	12	and	and	CCONJ
cana-279	105	13	finally	finally	ADV
cana-279	105	14	producing	produce	VERB
cana-279	105	15	an	an	DET
cana-279	105	16	output	output	NOUN
cana-279	105	17	,	,	PUNCT
cana-279	105	18	is	be	AUX
cana-279	105	19	critical	critical	ADJ
cana-279	105	20	in	in	ADP
cana-279	105	21	using	use	VERB
cana-279	105	22	quantum	quantum	NOUN
cana-279	105	23	computing	computing	NOUN
cana-279	105	24	to	to	PART
cana-279	105	25	solve	solve	VERB
cana-279	105	26	optimization	optimization	NOUN
cana-279	105	27	problems	problem	NOUN
cana-279	105	28	.	.	PUNCT
cana-279	106	1	the	the	DET
cana-279	106	2	findings	finding	NOUN
cana-279	106	3	from	from	ADP
cana-279	106	4	the	the	DET
cana-279	106	5	figure	figure	NOUN
cana-279	106	6	1	1	NUM
cana-279	106	7	add	add	VERB
cana-279	106	8	to	to	ADP
cana-279	106	9	the	the	DET
cana-279	106	10	continuing	continue	VERB
cana-279	106	11	discussion	discussion	NOUN
cana-279	106	12	on	on	ADP
cana-279	106	13	how	how	SCONJ
cana-279	106	14	to	to	PART
cana-279	106	15	apply	apply	VERB
cana-279	106	16	quantum	quantum	ADJ
cana-279	106	17	algorithms	algorithm	NOUN
cana-279	106	18	to	to	PART
cana-279	106	19	solve	solve	VERB
cana-279	106	20	real	real	ADJ
cana-279	106	21	-	-	PUNCT
cana-279	106	22	world	world	NOUN
cana-279	106	23	problems	problem	NOUN
cana-279	106	24	,	,	PUNCT
cana-279	106	25	which	which	PRON
cana-279	106	26	is	be	AUX
cana-279	106	27	important	important	ADJ
cana-279	106	28	as	as	SCONJ
cana-279	106	29	quantum	quantum	NOUN
cana-279	106	30	technologies	technology	NOUN
cana-279	106	31	progress	progress	VERB
cana-279	106	32	.	.	PUNCT
cana-279	107	1	for	for	ADP
cana-279	107	2	difficult	difficult	ADJ
cana-279	107	3	nonlinear	nonlinear	ADJ
cana-279	107	4	optimization	optimization	NOUN
cana-279	107	5	problems	problem	NOUN
cana-279	107	6	,	,	PUNCT
cana-279	107	7	quantum	quantum	NOUN
cana-279	107	8	computing	computing	NOUN
cana-279	107	9	's	's	PART
cana-279	107	10	use	use	NOUN
cana-279	107	11	of	of	ADP
cana-279	107	12	superposition	superposition	NOUN
cana-279	107	13	and	and	CCONJ
cana-279	107	14	entanglement	entanglement	NOUN
cana-279	107	15	allows	allow	VERB
cana-279	107	16	for	for	ADP
cana-279	107	17	the	the	DET
cana-279	107	18	simultaneous	simultaneous	ADJ
cana-279	107	19	exploration	exploration	NOUN
cana-279	107	20	of	of	ADP
cana-279	107	21	numerous	numerous	ADJ
cana-279	107	22	solutions	solution	NOUN
cana-279	107	23	,	,	PUNCT
cana-279	107	24	greatly	greatly	ADV
cana-279	107	25	improving	improve	VERB
cana-279	107	26	efficiency	efficiency	NOUN
cana-279	107	27	.	.	PUNCT
cana-279	108	1	𝐴𝑆(𝑂	𝐴𝑆(𝑂	NOUN
cana-279	108	2	,	,	PUNCT
cana-279	108	3	∈	∈	PROPN
cana-279	108	4	,	,	PUNCT
cana-279	108	5	𝑅	𝑅	PROPN
cana-279	108	6	,	,	PUNCT
cana-279	108	7	𝛼	𝛼	NOUN
cana-279	108	8	)	)	PUNCT
cana-279	108	9	=	=	SYM
cana-279	108	10	𝑈𝑑(𝑂,𝜖	𝑈𝑑(𝑂,𝜖	PROPN
cana-279	108	11	)	)	PUNCT
cana-279	108	12	𝑈𝑟(𝑂,𝜖,𝑅	𝑈𝑟(𝑂,𝜖,𝑅	PROPN
cana-279	108	13	)	)	PUNCT
cana-279	108	14	×	×	NOUN
cana-279	108	15	1	1	NUM
cana-279	108	16	√1+𝛽.𝑅2+𝛾.𝑂3	√1+𝛽.𝑅2+𝛾.𝑂3	PROPN
cana-279	108	17	×	×	NOUN
cana-279	108	18	(	(	PUNCT
cana-279	108	19	1	1	NUM
cana-279	108	20	1+𝛼.𝑓−𝛿.𝑂	1+𝛼.𝑓−𝛿.𝑂	NUM
cana-279	108	21	)	)	PUNCT
cana-279	108	22	(	(	PUNCT
cana-279	108	23	1	1	X
cana-279	108	24	)	)	PUNCT
cana-279	108	25	in	in	ADP
cana-279	108	26	the	the	DET
cana-279	108	27	equation	equation	NOUN
cana-279	108	28	(	(	PUNCT
cana-279	108	29	1	1	NUM
cana-279	108	30	)	)	PUNCT
cana-279	108	31	,	,	PUNCT
cana-279	108	32	the	the	DET
cana-279	108	33	quantum	quantum	NOUN
cana-279	108	34	advantage	advantage	NOUN
cana-279	108	35	score	score	NOUN
cana-279	108	36	𝐴𝑆(𝑂	𝐴𝑆(𝑂	NOUN
cana-279	108	37	,	,	PUNCT
cana-279	108	38	∈	∈	PROPN
cana-279	108	39	,	,	PUNCT
cana-279	108	40	𝑅	𝑅	PROPN
cana-279	108	41	,	,	PUNCT
cana-279	108	42	𝛼	𝛼	NOUN
cana-279	108	43	)	)	PUNCT
cana-279	108	44	is	be	AUX
cana-279	108	45	used	use	VERB
cana-279	108	46	to	to	PART
cana-279	108	47	measure	measure	VERB
cana-279	108	48	how	how	SCONJ
cana-279	108	49	much	much	ADV
cana-279	108	50	better	well	ADJ
cana-279	108	51	a	a	DET
cana-279	108	52	quantum	quantum	ADJ
cana-279	108	53	algorithm	algorithm	NOUN
cana-279	108	54	performs	perform	VERB
cana-279	108	55	compared	compare	VERB
cana-279	108	56	to	to	ADP
cana-279	108	57	its	its	PRON
cana-279	108	58	classical	classical	ADJ
cana-279	108	59	equivalent	equivalent	NOUN
cana-279	108	60	.	.	PUNCT
cana-279	109	1	the	the	DET
cana-279	109	2	execution	execution	NOUN
cana-279	109	3	time	time	NOUN
cana-279	109	4	of	of	ADP
cana-279	109	5	the	the	DET
cana-279	109	6	quantum	quantum	NOUN
cana-279	109	7	method	method	NOUN
cana-279	109	8	is	be	AUX
cana-279	109	9	represented	represent	VERB
cana-279	109	10	by	by	ADP
cana-279	109	11	the	the	DET
cana-279	109	12	function	function	NOUN
cana-279	109	13	𝑈𝑟(𝑂	𝑈𝑟(𝑂	PROPN
cana-279	109	14	,	,	PUNCT
cana-279	109	15	𝜖	𝜖	PROPN
cana-279	109	16	,	,	PUNCT
cana-279	109	17	𝑅	𝑅	PROPN
cana-279	109	18	)	)	PUNCT
cana-279	109	19	,	,	PUNCT
cana-279	109	20	whereas	whereas	SCONJ
cana-279	109	21	the	the	DET
cana-279	109	22	execution	execution	NOUN
cana-279	109	23	time	time	NOUN
cana-279	109	24	of	of	ADP
cana-279	109	25	the	the	DET
cana-279	109	26	classical	classical	ADJ
cana-279	109	27	algorithm	algorithm	NOUN
cana-279	109	28	for	for	ADP
cana-279	109	29	an	an	DET
cana-279	109	30	issue	issue	NOUN
cana-279	109	31	with	with	ADP
cana-279	109	32	size	size	NOUN
cana-279	109	33	𝑂	𝑂	PROPN
cana-279	109	34	&	&	CCONJ
cana-279	109	35	precision	precision	PROPN
cana-279	109	36	𝜖	𝜖	PROPN
cana-279	109	37	is	be	AUX
cana-279	109	38	represented	represent	VERB
cana-279	109	39	by	by	ADP
cana-279	109	40	the	the	DET
cana-279	109	41	function	function	NOUN
cana-279	109	42	𝑈𝑑(𝑂	𝑈𝑑(𝑂	NOUN
cana-279	109	43	,	,	PUNCT
cana-279	109	44	𝜖	𝜖	NOUN
cana-279	109	45	)	)	PUNCT
cana-279	109	46	.	.	PUNCT
cana-279	110	1	the	the	DET
cana-279	110	2	total	total	ADJ
cana-279	110	3	quantum	quantum	NOUN
cana-279	110	4	advantage	advantage	NOUN
cana-279	110	5	score	score	NOUN
cana-279	110	6	is	be	AUX
cana-279	110	7	affected	affect	VERB
cana-279	110	8	by	by	ADP
cana-279	110	9	the	the	DET
cana-279	110	10	quantum	quantum	NOUN
cana-279	110	11	speedup	speedup	NOUN
cana-279	110	12	,	,	PUNCT
cana-279	110	13	issue	issue	NOUN
cana-279	110	14	size	size	NOUN
cana-279	110	15	,	,	PUNCT
cana-279	110	16	and	and	CCONJ
cana-279	110	17	algorithmic	algorithmic	ADJ
cana-279	110	18	complexity	complexity	NOUN
cana-279	110	19	;	;	PUNCT
cana-279	110	20	these	these	DET
cana-279	110	21	elements	element	NOUN
cana-279	110	22	are	be	AUX
cana-279	110	23	taken	take	VERB
cana-279	110	24	into	into	ADP
cana-279	110	25	consideration	consideration	NOUN
cana-279	110	26	by	by	ADP
cana-279	110	27	the	the	DET
cana-279	110	28	weighting	weighting	NOUN
cana-279	110	29	factors	factor	NOUN
cana-279	110	30	introduced	introduce	VERB
cana-279	110	31	by	by	ADP
cana-279	110	32	the	the	DET
cana-279	110	33	parameters	parameter	NOUN
cana-279	110	34	𝛽	𝛽	PROPN
cana-279	110	35	,	,	PUNCT
cana-279	110	36	𝛾	𝛾	PROPN
cana-279	110	37	,	,	PUNCT
cana-279	110	38	and	and	CCONJ
cana-279	110	39	𝛼.	𝛼.	VERB
cana-279	110	40	the	the	DET
cana-279	110	41	non	non	ADJ
cana-279	110	42	-	-	ADJ
cana-279	110	43	linear	linear	ADJ
cana-279	110	44	decay	decay	NOUN
cana-279	110	45	factor	factor	NOUN
cana-279	110	46	𝛿	𝛿	PROPN
cana-279	110	47	captures	capture	NOUN
cana-279	110	48	the	the	DET
cana-279	110	49	declining	decline	VERB
cana-279	110	50	rewards	reward	NOUN
cana-279	110	51	associated	associate	VERB
cana-279	110	52	with	with	ADP
cana-279	110	53	higher	high	ADJ
cana-279	110	54	issue	issue	NOUN
cana-279	110	55	sizes	size	NOUN
cana-279	110	56	,	,	PUNCT
cana-279	110	57	and	and	CCONJ
cana-279	110	58	the	the	DET
cana-279	110	59	1	1	NUM
cana-279	110	60	+	+	NUM
cana-279	110	61	𝛼.	𝛼.	ADJ
cana-279	110	62	𝑓−𝛿.𝑂	𝑓−𝛿.𝑂	X
cana-279	110	63	presents	present	VERB
cana-279	110	64	it	it	PRON
cana-279	110	65	.	.	PUNCT
cana-279	111	1	this	this	DET
cana-279	111	2	augmentation	augmentation	NOUN
cana-279	111	3	is	be	AUX
cana-279	111	4	a	a	DET
cana-279	111	5	reflection	reflection	NOUN
cana-279	111	6	of	of	ADP
cana-279	111	7	the	the	DET
cana-279	111	8	fact	fact	NOUN
cana-279	111	9	that	that	SCONJ
cana-279	111	10	quantum	quantum	NOUN
cana-279	111	11	advantage	advantage	NOUN
cana-279	111	12	may	may	AUX
cana-279	111	13	get	get	AUX
cana-279	111	14	saturated	saturate	VERB
cana-279	111	15	or	or	CCONJ
cana-279	111	16	slows	slow	VERB
cana-279	111	17	down	down	ADP
cana-279	111	18	as	as	SCONJ
cana-279	111	19	the	the	DET
cana-279	111	20	problem	problem	NOUN
cana-279	111	21	becomes	become	VERB
cana-279	111	22	larger	large	ADJ
cana-279	111	23	.	.	PUNCT
cana-279	112	1	incorporating	incorporate	VERB
cana-279	112	2	all	all	PRON
cana-279	112	3	of	of	ADP
cana-279	112	4	these	these	DET
cana-279	112	5	elements	element	NOUN
cana-279	112	6	enables	enable	VERB
cana-279	112	7	for	for	ADP
cana-279	112	8	a	a	DET
cana-279	112	9	more	more	ADV
cana-279	112	10	complex	complex	ADJ
cana-279	112	11	and	and	CCONJ
cana-279	112	12	thorough	thorough	ADJ
cana-279	112	13	examination	examination	NOUN
cana-279	112	14	of	of	ADP
cana-279	112	15	the	the	DET
cana-279	112	16	quantum	quantum	NOUN
cana-279	112	17	method	method	NOUN
cana-279	112	18	's	's	PART
cana-279	112	19	effectiveness	effectiveness	NOUN
cana-279	112	20	with	with	ADP
cana-279	112	21	respect	respect	NOUN
cana-279	112	22	to	to	ADP
cana-279	112	23	issue	issue	NOUN
cana-279	112	24	features	feature	NOUN
cana-279	112	25	and	and	CCONJ
cana-279	112	26	algorithmic	algorithmic	ADJ
cana-279	112	27	complexities	complexity	NOUN
cana-279	112	28	.	.	PUNCT
cana-279	113	1	𝑆𝐴(𝑂	𝑆𝐴(𝑂	ADJ
cana-279	113	2	,	,	PUNCT
cana-279	113	3	∈	∈	PROPN
cana-279	113	4	,	,	PUNCT
cana-279	113	5	𝑅	𝑅	PROPN
cana-279	113	6	,	,	PUNCT
cana-279	113	7	𝜇	𝜇	ADP
cana-279	113	8	,	,	PUNCT
cana-279	113	9	𝜃	𝜃	NOUN
cana-279	113	10	)	)	PUNCT
cana-279	113	11	=	=	SYM
cana-279	113	12	1	1	NUM
cana-279	113	13	−	−	NOUN
cana-279	113	14	√𝛽.𝑅2+𝛽.𝑂3	√𝛽.𝑅2+𝛽.𝑂3	PROPN
cana-279	113	15	√𝛼.𝑓𝛿.𝑂+𝜖.𝑅3	√𝛼.𝑓𝛿.𝑂+𝜖.𝑅3	VERB
cana-279	113	16	×	×	NOUN
cana-279	113	17	(	(	PUNCT
cana-279	113	18	1	1	NUM
cana-279	113	19	1+𝜇.𝑓−𝜗.𝑂	1+𝜇.𝑓−𝜗.𝑂	NUM
cana-279	113	20	)	)	PUNCT
cana-279	114	1	+	+	CCONJ
cana-279	114	2	𝜃.𝑂2	𝜃.𝑂2	NOUN
cana-279	114	3	√𝜑.𝑓𝜔.𝑅+𝑌.𝑓−𝛹.𝑂	√𝜑.𝑓𝜔.𝑅+𝑌.𝑓−𝛹.𝑂	PROPN
cana-279	114	4	(	(	PUNCT
cana-279	114	5	2	2	NUM
cana-279	114	6	)	)	PUNCT
cana-279	114	7	communications	communication	NOUN
cana-279	114	8	on	on	ADP
cana-279	114	9	applied	apply	VERB
cana-279	114	10	nonlinear	nonlinear	ADJ
cana-279	114	11	analysis	analysis	NOUN
cana-279	114	12	issn	issn	NOUN
cana-279	114	13	:	:	PUNCT
cana-279	114	14	1074	1074	NUM
cana-279	114	15	-	-	PUNCT
cana-279	114	16	133x	133x	NUM
cana-279	114	17	vol	vol	NOUN
cana-279	114	18	30	30	NUM
cana-279	114	19	no	no	NOUN
cana-279	114	20	.	.	NOUN
cana-279	114	21	4	4	NUM
cana-279	114	22	(	(	PUNCT
cana-279	114	23	2023	2023	NUM
cana-279	114	24	)	)	PUNCT
cana-279	114	25	6	6	NUM
cana-279	114	26	https://internationalpubls.com	https://internationalpubls.com	X
cana-279	114	27	multiple	multiple	ADJ
cana-279	114	28	variables	variable	NOUN
cana-279	114	29	are	be	AUX
cana-279	114	30	included	include	VERB
cana-279	114	31	in	in	ADP
cana-279	114	32	the	the	DET
cana-279	114	33	equation	equation	NOUN
cana-279	114	34	(	(	PUNCT
cana-279	114	35	2	2	NUM
cana-279	114	36	)	)	PUNCT
cana-279	114	37	𝑆𝐴(𝑂	𝑆𝐴(𝑂	ADJ
cana-279	114	38	,	,	PUNCT
cana-279	114	39	∈	∈	PROPN
cana-279	114	40	,	,	PUNCT
cana-279	114	41	𝑅	𝑅	PROPN
cana-279	114	42	,	,	PUNCT
cana-279	114	43	𝜇	𝜇	ADP
cana-279	114	44	,	,	PUNCT
cana-279	114	45	𝜃	𝜃	NOUN
cana-279	114	46	)	)	PUNCT
cana-279	114	47	,	,	PUNCT
cana-279	114	48	which	which	PRON
cana-279	114	49	stands	stand	VERB
cana-279	114	50	for	for	ADP
cana-279	114	51	solution	solution	NOUN
cana-279	114	52	accuracy	accuracy	NOUN
cana-279	114	53	,	,	PUNCT
cana-279	114	54	in	in	ADP
cana-279	114	55	order	order	NOUN
cana-279	114	56	to	to	PART
cana-279	114	57	describe	describe	VERB
cana-279	114	58	the	the	DET
cana-279	114	59	complex	complex	ADJ
cana-279	114	60	correlations	correlation	NOUN
cana-279	114	61	among	among	ADP
cana-279	114	62	issue	issue	NOUN
cana-279	114	63	size	size	NOUN
cana-279	114	64	(	(	PUNCT
cana-279	114	65	𝑂	𝑂	PROPN
cana-279	114	66	)	)	PUNCT
cana-279	114	67	,	,	PUNCT
cana-279	114	68	𝑆𝐴	𝑆𝐴	PROPN
cana-279	114	69	(	(	PUNCT
cana-279	114	70	solution	solution	NOUN
cana-279	114	71	accuracy	accuracy	NOUN
cana-279	114	72	)	)	PUNCT
cana-279	114	73	,	,	PUNCT
cana-279	114	74	quantum	quantum	NOUN
cana-279	114	75	advantages	advantage	NOUN
cana-279	114	76	(	(	PUNCT
cana-279	114	77	𝑅	𝑅	NOUN
cana-279	114	78	)	)	PUNCT
cana-279	114	79	,	,	PUNCT
cana-279	114	80	and	and	CCONJ
cana-279	114	81	other	other	ADJ
cana-279	114	82	factors	factor	NOUN
cana-279	114	83	that	that	PRON
cana-279	114	84	impact	impact	VERB
cana-279	114	85	it	it	PRON
cana-279	114	86	.	.	PUNCT
cana-279	115	1	a	a	DET
cana-279	115	2	constant	constant	ADJ
cana-279	115	3	factor	factor	NOUN
cana-279	115	4	is	be	AUX
cana-279	115	5	represented	represent	VERB
cana-279	115	6	by	by	ADP
cana-279	115	7	𝛼	𝛼	NOUN
cana-279	115	8	,	,	PUNCT
cana-279	115	9	while	while	SCONJ
cana-279	115	10	the	the	DET
cana-279	115	11	linear	linear	ADJ
cana-279	115	12	impact	impact	NOUN
cana-279	115	13	of	of	ADP
cana-279	115	14	the	the	DET
cana-279	115	15	size	size	NOUN
cana-279	115	16	of	of	ADP
cana-279	115	17	the	the	DET
cana-279	115	18	issue	issue	NOUN
cana-279	115	19	on	on	ADP
cana-279	115	20	the	the	DET
cana-279	115	21	denominator	denominator	NOUN
cana-279	115	22	is	be	AUX
cana-279	115	23	accounted	account	VERB
cana-279	115	24	for	for	ADP
cana-279	115	25	by	by	ADP
cana-279	115	26	𝛿.	𝛿.	NOUN
cana-279	115	27	the	the	DET
cana-279	115	28	total	total	ADJ
cana-279	115	29	accuracy	accuracy	NOUN
cana-279	115	30	measure	measure	NOUN
cana-279	115	31	is	be	AUX
cana-279	115	32	affected	affect	VERB
cana-279	115	33	by	by	ADP
cana-279	115	34	the	the	DET
cana-279	115	35	non	non	ADJ
cana-279	115	36	-	-	ADJ
cana-279	115	37	linear	linear	ADJ
cana-279	115	38	relationship	relationship	NOUN
cana-279	115	39	between	between	ADP
cana-279	115	40	accuracy	accuracy	NOUN
cana-279	115	41	and	and	CCONJ
cana-279	115	42	quantum	quantum	NOUN
cana-279	115	43	advantage	advantage	NOUN
cana-279	115	44	,	,	PUNCT
cana-279	115	45	which	which	PRON
cana-279	115	46	is	be	AUX
cana-279	115	47	illustrated	illustrate	VERB
cana-279	115	48	by	by	ADP
cana-279	115	49	the	the	DET
cana-279	115	50	cubic	cubic	ADJ
cana-279	115	51	and	and	CCONJ
cana-279	115	52	quadratic	quadratic	ADJ
cana-279	115	53	factors	factor	NOUN
cana-279	115	54	,	,	PUNCT
cana-279	115	55	∈	∈	PROPN
cana-279	115	56	and	and	CCONJ
cana-279	115	57	𝑅	𝑅	PROPN
cana-279	115	58	,	,	PUNCT
cana-279	115	59	respectively	respectively	ADV
cana-279	115	60	.	.	PUNCT
cana-279	116	1	the	the	DET
cana-279	116	2	complex	complex	ADJ
cana-279	116	3	link	link	NOUN
cana-279	116	4	between	between	ADP
cana-279	116	5	accuracy	accuracy	NOUN
cana-279	116	6	and	and	CCONJ
cana-279	116	7	issue	issue	NOUN
cana-279	116	8	size	size	NOUN
cana-279	116	9	is	be	AUX
cana-279	116	10	captured	capture	VERB
cana-279	116	11	by	by	ADP
cana-279	116	12	adding	add	VERB
cana-279	116	13	𝜇	𝜇	ADP
cana-279	116	14	,	,	PUNCT
cana-279	116	15	which	which	PRON
cana-279	116	16	modulates	modulate	VERB
cana-279	116	17	the	the	DET
cana-279	116	18	exponential	exponential	ADJ
cana-279	116	19	component	component	NOUN
cana-279	116	20	through	through	ADP
cana-279	116	21	a	a	DET
cana-279	116	22	scaling	scale	VERB
cana-279	116	23	factor	factor	NOUN
cana-279	116	24	.	.	PUNCT
cana-279	117	1	an	an	DET
cana-279	117	2	additional	additional	ADJ
cana-279	117	3	component	component	NOUN
cana-279	117	4	impacting	impact	VERB
cana-279	117	5	the	the	DET
cana-279	117	6	correlation	correlation	NOUN
cana-279	117	7	between	between	ADP
cana-279	117	8	issue	issue	NOUN
cana-279	117	9	size	size	NOUN
cana-279	117	10	and	and	CCONJ
cana-279	117	11	precision	precision	NOUN
cana-279	117	12	is	be	AUX
cana-279	117	13	the	the	DET
cana-279	117	14	newly	newly	ADV
cana-279	117	15	introduced	introduce	VERB
cana-279	117	16	parameter	parameter	NOUN
cana-279	117	17	𝜃.	𝜃.	VERB
cana-279	117	18	a	a	DET
cana-279	117	19	more	more	ADV
cana-279	117	20	complex	complex	ADJ
cana-279	117	21	connection	connection	NOUN
cana-279	117	22	between	between	ADP
cana-279	117	23	quantum	quantum	NOUN
cana-279	117	24	advantage	advantage	NOUN
cana-279	117	25	,	,	PUNCT
cana-279	117	26	issue	issue	NOUN
cana-279	117	27	size	size	NOUN
cana-279	117	28	,	,	PUNCT
cana-279	117	29	and	and	CCONJ
cana-279	117	30	accuracy	accuracy	NOUN
cana-279	117	31	is	be	AUX
cana-279	117	32	shown	show	VERB
cana-279	117	33	by	by	ADP
cana-279	117	34	the	the	DET
cana-279	117	35	additional	additional	ADJ
cana-279	117	36	layer	layer	NOUN
cana-279	117	37	of	of	ADP
cana-279	117	38	non	non	ADJ
cana-279	117	39	-	-	ADJ
cana-279	117	40	linear	linear	ADJ
cana-279	117	41	dependency	dependency	NOUN
cana-279	117	42	introduced	introduce	VERB
cana-279	117	43	by	by	ADP
cana-279	117	44	the	the	DET
cana-279	117	45	terms	term	NOUN
cana-279	117	46	𝜑	𝜑	PRON
cana-279	117	47	,	,	PUNCT
cana-279	117	48	𝜔	𝜔	NOUN
cana-279	117	49	,	,	PUNCT
cana-279	117	50	𝑌	𝑌	PROPN
cana-279	117	51	,	,	PUNCT
cana-279	117	52	and	and	CCONJ
cana-279	117	53	𝛹.	𝛹.	X
cana-279	117	54	in	in	ADP
cana-279	117	55	order	order	NOUN
cana-279	117	56	to	to	PART
cana-279	117	57	comprehend	comprehend	VERB
cana-279	117	58	the	the	DET
cana-279	117	59	many	many	ADJ
cana-279	117	60	factors	factor	NOUN
cana-279	117	61	that	that	PRON
cana-279	117	62	affect	affect	VERB
cana-279	117	63	the	the	DET
cana-279	117	64	precision	precision	NOUN
cana-279	117	65	of	of	ADP
cana-279	117	66	solutions	solution	NOUN
cana-279	117	67	in	in	ADP
cana-279	117	68	quantum	quantum	ADJ
cana-279	117	69	computing	computing	NOUN
cana-279	117	70	environments	environment	NOUN
cana-279	117	71	,	,	PUNCT
cana-279	117	72	the	the	DET
cana-279	117	73	equation	equation	NOUN
cana-279	117	74	(	(	PUNCT
cana-279	117	75	2	2	X
cana-279	117	76	)	)	PUNCT
cana-279	117	77	provides	provide	VERB
cana-279	117	78	a	a	DET
cana-279	117	79	thorough	thorough	ADJ
cana-279	117	80	analytical	analytical	ADJ
cana-279	117	81	framework	framework	NOUN
cana-279	117	82	.	.	PUNCT
cana-279	118	1	𝑇(𝑂	𝑇(𝑂	NOUN
cana-279	118	2	)	)	PUNCT
cana-279	119	1	=	=	SYM
cana-279	119	2	𝑃𝑜𝑙𝑦(𝑈𝑐𝑙𝑎𝑠𝑠𝑖𝑐𝑎𝑙).𝑙𝑜𝑔	𝑃𝑜𝑙𝑦(𝑈𝑐𝑙𝑎𝑠𝑠𝑖𝑐𝑎𝑙).𝑙𝑜𝑔	SYM
cana-279	119	3	2(𝑈𝑞𝑢𝑎𝑛𝑡𝑢𝑚	2(𝑈𝑞𝑢𝑎𝑛𝑡𝑢𝑚	NUM
cana-279	119	4	)	)	PUNCT
cana-279	119	5	√𝑂	√𝑂	VERB
cana-279	119	6	4	4	NUM
cana-279	119	7	×	×	NOUN
cana-279	119	8	(	(	PUNCT
cana-279	119	9	1	1	NUM
cana-279	119	10	+	+	CCONJ
cana-279	119	11	𝑙𝑜𝑔2(𝑅𝑞𝑢𝑎𝑛𝑡𝑢𝑚	𝑙𝑜𝑔2(𝑅𝑞𝑢𝑎𝑛𝑡𝑢𝑚	PROPN
cana-279	119	12	)	)	PUNCT
cana-279	119	13	log⁡(𝑂	log⁡(𝑂	PROPN
cana-279	119	14	)	)	PUNCT
cana-279	119	15	)	)	PUNCT
cana-279	120	1	×	×	PROPN
cana-279	120	2	𝐻𝑞𝑢𝑎𝑛𝑡𝑢𝑚	𝐻𝑞𝑢𝑎𝑛𝑡𝑢𝑚	PROPN
cana-279	120	3	√log⁡(𝐻𝑐𝑙𝑎𝑠𝑠𝑖𝑐𝑎𝑙	√log⁡(𝐻𝑐𝑙𝑎𝑠𝑠𝑖𝑐𝑎𝑙	PROPN
cana-279	120	4	)	)	PUNCT
cana-279	120	5	3	3	NUM
cana-279	120	6	(	(	PUNCT
cana-279	120	7	3	3	NUM
cana-279	120	8	)	)	PUNCT
cana-279	120	9	the	the	DET
cana-279	120	10	overall	overall	ADJ
cana-279	120	11	performance	performance	NOUN
cana-279	120	12	parameter	parameter	NOUN
cana-279	120	13	perhaps	perhaps	ADV
cana-279	120	14	linked	link	VERB
cana-279	120	15	to	to	ADP
cana-279	120	16	the	the	DET
cana-279	120	17	efficiency	efficiency	NOUN
cana-279	120	18	or	or	CCONJ
cana-279	120	19	speedup	speedup	NOUN
cana-279	120	20	of	of	ADP
cana-279	120	21	a	a	DET
cana-279	120	22	quantum	quantum	NOUN
cana-279	120	23	method	method	NOUN
cana-279	120	24	while	while	SCONJ
cana-279	120	25	addressing	address	VERB
cana-279	120	26	a	a	DET
cana-279	120	27	nonlinear	nonlinear	ADJ
cana-279	120	28	optimization	optimization	NOUN
cana-279	120	29	issue	issue	NOUN
cana-279	120	30	relative	relative	ADJ
cana-279	120	31	to	to	ADP
cana-279	120	32	its	its	PRON
cana-279	120	33	classical	classical	ADJ
cana-279	120	34	equivalent	equivalent	NOUN
cana-279	120	35	,	,	PUNCT
cana-279	120	36	is	be	AUX
cana-279	120	37	represented	represent	VERB
cana-279	120	38	by	by	ADP
cana-279	120	39	𝑇(𝑂	𝑇(𝑂	PROPN
cana-279	120	40	)	)	PUNCT
cana-279	120	41	in	in	ADP
cana-279	120	42	the	the	DET
cana-279	120	43	equation	equation	NOUN
cana-279	120	44	(	(	PUNCT
cana-279	120	45	3	3	NUM
cana-279	120	46	)	)	PUNCT
cana-279	120	47	.	.	PUNCT
cana-279	121	1	the	the	DET
cana-279	121	2	classic	classic	ADJ
cana-279	121	3	algorithm	algorithm	NOUN
cana-279	121	4	's	's	PART
cana-279	121	5	execution	execution	NOUN
cana-279	121	6	time	time	NOUN
cana-279	121	7	is	be	AUX
cana-279	121	8	described	describe	VERB
cana-279	121	9	by	by	ADP
cana-279	121	10	the	the	DET
cana-279	121	11	polynomial	polynomial	ADJ
cana-279	121	12	function	function	NOUN
cana-279	121	13	𝑃𝑜𝑙𝑦(𝑈𝑐𝑙𝑎𝑠𝑠𝑖𝑐𝑎𝑙	𝑃𝑜𝑙𝑦(𝑈𝑐𝑙𝑎𝑠𝑠𝑖𝑐𝑎𝑙	PROPN
cana-279	121	14	)	)	PUNCT
cana-279	121	15	.	.	PUNCT
cana-279	122	1	the	the	DET
cana-279	122	2	denominator	denominator	NOUN
cana-279	122	3	and	and	CCONJ
cana-279	122	4	numerator	numerator	NOUN
cana-279	122	5	include	include	VERB
cana-279	122	6	logarithmic	logarithmic	ADJ
cana-279	122	7	and	and	CCONJ
cana-279	122	8	polynomial	polynomial	ADJ
cana-279	122	9	components	component	NOUN
cana-279	122	10	,	,	PUNCT
cana-279	122	11	which	which	PRON
cana-279	122	12	add	add	VERB
cana-279	122	13	complexity	complexity	NOUN
cana-279	122	14	to	to	ADP
cana-279	122	15	the	the	DET
cana-279	122	16	representation	representation	NOUN
cana-279	122	17	of	of	ADP
cana-279	122	18	the	the	DET
cana-279	122	19	possible	possible	ADJ
cana-279	122	20	quantum	quantum	NOUN
cana-279	122	21	speedup	speedup	NOUN
cana-279	122	22	.	.	PUNCT
cana-279	123	1	the	the	DET
cana-279	123	2	influence	influence	NOUN
cana-279	123	3	of	of	ADP
cana-279	123	4	both	both	DET
cana-279	123	5	issue	issue	NOUN
cana-279	123	6	size	size	NOUN
cana-279	123	7	(	(	PUNCT
cana-279	123	8	𝑂	𝑂	PROPN
cana-279	123	9	)	)	PUNCT
cana-279	123	10	&	&	CCONJ
cana-279	123	11	quantum	quantum	PROPN
cana-279	123	12	complexity	complexity	NOUN
cana-279	123	13	is	be	AUX
cana-279	123	14	shown	show	VERB
cana-279	123	15	in	in	ADP
cana-279	123	16	the	the	DET
cana-279	123	17	second	second	ADJ
cana-279	123	18	term	term	NOUN
cana-279	123	19	,	,	PUNCT
cana-279	123	20	which	which	PRON
cana-279	123	21	provides	provide	VERB
cana-279	123	22	a	a	DET
cana-279	123	23	logarithmic	logarithmic	ADJ
cana-279	123	24	squared	square	VERB
cana-279	123	25	reliance	reliance	NOUN
cana-279	123	26	on	on	ADP
cana-279	123	27	the	the	DET
cana-279	123	28	quantum	quantum	ADJ
cana-279	123	29	query	query	NOUN
cana-279	123	30	difficulty	difficulty	NOUN
cana-279	123	31	,	,	PUNCT
cana-279	123	32	(	(	PUNCT
cana-279	123	33	𝑈𝑞𝑢𝑎𝑛𝑡𝑢𝑚	𝑈𝑞𝑢𝑎𝑛𝑡𝑢𝑚	PROPN
cana-279	123	34	)	)	PUNCT
cana-279	123	35	.	.	PUNCT
cana-279	124	1	to	to	PART
cana-279	124	2	illustrate	illustrate	VERB
cana-279	124	3	the	the	DET
cana-279	124	4	interaction	interaction	NOUN
cana-279	124	5	between	between	ADP
cana-279	124	6	classical	classical	ADJ
cana-279	124	7	and	and	CCONJ
cana-279	124	8	quantum	quantum	NOUN
cana-279	124	9	gradient	gradient	NOUN
cana-279	124	10	evaluation	evaluation	NOUN
cana-279	124	11	complexity	complexity	NOUN
cana-279	124	12	,	,	PUNCT
cana-279	124	13	the	the	DET
cana-279	124	14	last	last	ADJ
cana-279	124	15	term	term	NOUN
cana-279	124	16	incorporates	incorporate	VERB
cana-279	124	17	a	a	DET
cana-279	124	18	cubic	cubic	ADJ
cana-279	124	19	root	root	NOUN
cana-279	124	20	connection	connection	NOUN
cana-279	124	21	with	with	ADP
cana-279	124	22	a	a	DET
cana-279	124	23	logarithmic	logarithmic	ADJ
cana-279	124	24	component	component	NOUN
cana-279	124	25	in	in	ADP
cana-279	124	26	the	the	DET
cana-279	124	27	denominator	denominator	NOUN
cana-279	124	28	.	.	PUNCT
cana-279	125	1	quantum	quantum	ADJ
cana-279	125	2	query	query	NOUN
cana-279	125	3	complexity	complexity	NOUN
cana-279	125	4	,	,	PUNCT
cana-279	125	5	classical	classical	ADJ
cana-279	125	6	gradient	gradient	NOUN
cana-279	125	7	evaluations	evaluation	NOUN
cana-279	125	8	complexity	complexity	NOUN
cana-279	125	9	,	,	PUNCT
cana-279	125	10	and	and	CCONJ
cana-279	125	11	quantum	quantum	NOUN
cana-279	125	12	gradient	gradient	NOUN
cana-279	125	13	evaluation	evaluation	NOUN
cana-279	125	14	complexity	complexity	NOUN
cana-279	125	15	are	be	AUX
cana-279	125	16	probably	probably	ADV
cana-279	125	17	related	relate	VERB
cana-279	125	18	to	to	ADP
cana-279	125	19	the	the	DET
cana-279	125	20	parameters	parameter	NOUN
cana-279	125	21	(	(	PUNCT
cana-279	125	22	𝑅𝑞𝑢𝑎𝑛𝑡𝑢𝑚),⁡⁡(𝐻𝑐𝑙𝑎𝑠𝑠𝑖𝑐𝑎𝑙	𝑅𝑞𝑢𝑎𝑛𝑡𝑢𝑚),⁡⁡(𝐻𝑐𝑙𝑎𝑠𝑠𝑖𝑐𝑎𝑙	PROPN
cana-279	125	23	)	)	PUNCT
cana-279	125	24	,	,	PUNCT
cana-279	125	25	and	and	CCONJ
cana-279	125	26	𝐻𝑞𝑢𝑎𝑛𝑡𝑢𝑚	𝐻𝑞𝑢𝑎𝑛𝑡𝑢𝑚	PROPN
cana-279	125	27	correspondingly	correspondingly	ADV
cana-279	125	28	.	.	PUNCT
cana-279	126	1	in	in	ADP
cana-279	126	2	order	order	NOUN
cana-279	126	3	to	to	PART
cana-279	126	4	better	well	ADV
cana-279	126	5	capture	capture	VERB
cana-279	126	6	subtleties	subtlety	NOUN
cana-279	126	7	in	in	ADP
cana-279	126	8	the	the	DET
cana-279	126	9	hqg	hqg	PROPN
cana-279	126	10	-	-	PUNCT
cana-279	126	11	ca	ca	PROPN
cana-279	126	12	scalability	scalability	NOUN
cana-279	126	13	study	study	NOUN
cana-279	126	14	for	for	ADP
cana-279	126	15	nonlinear	nonlinear	ADJ
cana-279	126	16	optimization	optimization	NOUN
cana-279	126	17	problems	problem	NOUN
cana-279	126	18	;	;	PUNCT
cana-279	126	19	this	this	DET
cana-279	126	20	increased	increase	VERB
cana-279	126	21	degree	degree	NOUN
cana-279	126	22	of	of	ADP
cana-279	126	23	complexity	complexity	NOUN
cana-279	126	24	is	be	AUX
cana-279	126	25	being	be	AUX
cana-279	126	26	used	use	VERB
cana-279	126	27	.	.	PUNCT
cana-279	127	1	communications	communication	NOUN
cana-279	127	2	on	on	ADP
cana-279	127	3	applied	apply	VERB
cana-279	127	4	nonlinear	nonlinear	ADJ
cana-279	127	5	analysis	analysis	NOUN
cana-279	127	6	issn	issn	NOUN
cana-279	127	7	:	:	PUNCT
cana-279	127	8	1074	1074	NUM
cana-279	127	9	-	-	PUNCT
cana-279	127	10	133x	133x	NUM
cana-279	127	11	vol	vol	NOUN
cana-279	127	12	30	30	NUM
cana-279	127	13	no	no	NOUN
cana-279	127	14	.	.	NOUN
cana-279	127	15	4	4	NUM
cana-279	127	16	(	(	PUNCT
cana-279	127	17	2023	2023	NUM
cana-279	127	18	)	)	PUNCT
cana-279	127	19	7	7	NUM
cana-279	127	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-279	127	21	figure	figure	NOUN
cana-279	127	22	2	2	NUM
cana-279	127	23	:	:	PUNCT
cana-279	127	24	hybrid	hybrid	ADJ
cana-279	127	25	quantum	quantum	NOUN
cana-279	127	26	gradient	gradient	NOUN
cana-279	127	27	classical	classical	ADJ
cana-279	127	28	approach	approach	NOUN
cana-279	127	29	(	(	PUNCT
cana-279	127	30	hqg	hqg	PROPN
cana-279	127	31	-	-	PUNCT
cana-279	127	32	ca	ca	PROPN
cana-279	127	33	)	)	PUNCT
cana-279	127	34	an	an	DET
cana-279	127	35	advanced	advanced	ADJ
cana-279	127	36	approach	approach	NOUN
cana-279	127	37	to	to	ADP
cana-279	127	38	solving	solve	VERB
cana-279	127	39	nonlinear	nonlinear	ADJ
cana-279	127	40	optimization	optimization	NOUN
cana-279	127	41	problems	problem	NOUN
cana-279	127	42	,	,	PUNCT
cana-279	127	43	the	the	DET
cana-279	127	44	hybrid	hybrid	ADJ
cana-279	127	45	quantum	quantum	NOUN
cana-279	127	46	gradient	gradient	NOUN
cana-279	127	47	classical	classical	ADJ
cana-279	127	48	approach	approach	NOUN
cana-279	127	49	(	(	PUNCT
cana-279	127	50	hqg	hqg	PROPN
cana-279	127	51	-	-	PUNCT
cana-279	127	52	ca	ca	NOUN
cana-279	127	53	)	)	PUNCT
cana-279	127	54	shown	show	VERB
cana-279	127	55	in	in	ADP
cana-279	127	56	figure	figure	NOUN
cana-279	127	57	2	2	NUM
cana-279	127	58	combines	combine	VERB
cana-279	127	59	the	the	DET
cana-279	127	60	best	good	ADJ
cana-279	127	61	features	feature	NOUN
cana-279	127	62	of	of	ADP
cana-279	127	63	quantum	quantum	ADJ
cana-279	127	64	and	and	CCONJ
cana-279	127	65	classical	classical	ADJ
cana-279	127	66	computers	computer	NOUN
cana-279	127	67	in	in	ADP
cana-279	127	68	a	a	DET
cana-279	127	69	seamless	seamless	ADJ
cana-279	127	70	manner	manner	NOUN
cana-279	127	71	.	.	PUNCT
cana-279	128	1	each	each	PRON
cana-279	128	2	of	of	ADP
cana-279	128	3	the	the	DET
cana-279	128	4	interdependent	interdependent	ADJ
cana-279	128	5	stages	stage	NOUN
cana-279	128	6	of	of	ADP
cana-279	128	7	this	this	DET
cana-279	128	8	novel	novel	ADJ
cana-279	128	9	workflow	workflow	NOUN
cana-279	128	10	contributes	contribute	VERB
cana-279	128	11	to	to	ADP
cana-279	128	12	the	the	DET
cana-279	128	13	ultimate	ultimate	ADJ
cana-279	128	14	objective	objective	NOUN
cana-279	128	15	of	of	ADP
cana-279	128	16	combining	combine	VERB
cana-279	128	17	classical	classical	ADJ
cana-279	128	18	algorithms	algorithm	NOUN
cana-279	128	19	with	with	ADP
cana-279	128	20	the	the	DET
cana-279	128	21	extraordinary	extraordinary	ADJ
cana-279	128	22	power	power	NOUN
cana-279	128	23	of	of	ADP
cana-279	128	24	quantum	quantum	NOUN
cana-279	128	25	processing	processing	NOUN
cana-279	128	26	.	.	PUNCT
cana-279	129	1	the	the	DET
cana-279	129	2	path	path	NOUN
cana-279	129	3	starts	start	VERB
cana-279	129	4	with	with	ADP
cana-279	129	5	classical	classical	ADJ
cana-279	129	6	input	input	NOUN
cana-279	129	7	,	,	PUNCT
cana-279	129	8	which	which	PRON
cana-279	129	9	is	be	AUX
cana-279	129	10	fundamental	fundamental	ADJ
cana-279	129	11	as	as	SCONJ
cana-279	129	12	it	it	PRON
cana-279	129	13	contains	contain	VERB
cana-279	129	14	the	the	DET
cana-279	129	15	optimization	optimization	NOUN
cana-279	129	16	problem	problem	NOUN
cana-279	129	17	's	's	PART
cana-279	129	18	core	core	NOUN
cana-279	129	19	elements	element	NOUN
cana-279	129	20	,	,	PUNCT
cana-279	129	21	such	such	ADJ
cana-279	129	22	as	as	ADP
cana-279	129	23	the	the	DET
cana-279	129	24	objective	objective	ADJ
cana-279	129	25	function	function	NOUN
cana-279	129	26	,	,	PUNCT
cana-279	129	27	restrictions	restriction	NOUN
cana-279	129	28	,	,	PUNCT
cana-279	129	29	and	and	CCONJ
cana-279	129	30	starting	start	VERB
cana-279	129	31	parameters	parameter	NOUN
cana-279	129	32	.	.	PUNCT
cana-279	130	1	these	these	DET
cana-279	130	2	components	component	NOUN
cana-279	130	3	are	be	AUX
cana-279	130	4	the	the	DET
cana-279	130	5	foundation	foundation	NOUN
cana-279	130	6	for	for	ADP
cana-279	130	7	the	the	DET
cana-279	130	8	hybrid	hybrid	ADJ
cana-279	130	9	processing	processing	NOUN
cana-279	130	10	.	.	PUNCT
cana-279	131	1	as	as	ADP
cana-279	131	2	a	a	DET
cana-279	131	3	first	first	ADJ
cana-279	131	4	step	step	NOUN
cana-279	131	5	,	,	PUNCT
cana-279	131	6	classical	classical	ADJ
cana-279	131	7	pre	pre	ADJ
cana-279	131	8	-	-	ADJ
cana-279	131	9	processing	processing	ADJ
cana-279	131	10	involves	involve	NOUN
cana-279	131	11	analysing	analyse	VERB
cana-279	131	12	and	and	CCONJ
cana-279	131	13	formatting	format	VERB
cana-279	131	14	the	the	DET
cana-279	131	15	input	input	NOUN
cana-279	131	16	data	datum	NOUN
cana-279	131	17	using	use	VERB
cana-279	131	18	classical	classical	ADJ
cana-279	131	19	techniques	technique	NOUN
cana-279	131	20	.	.	PUNCT
cana-279	132	1	by	by	ADP
cana-279	132	2	making	make	VERB
cana-279	132	3	sure	sure	ADJ
cana-279	132	4	the	the	DET
cana-279	132	5	data	data	NOUN
cana-279	132	6	is	be	AUX
cana-279	132	7	ready	ready	ADJ
cana-279	132	8	for	for	ADP
cana-279	132	9	quantum	quantum	NOUN
cana-279	132	10	encoding	encoding	NOUN
cana-279	132	11	,	,	PUNCT
cana-279	132	12	this	this	DET
cana-279	132	13	crucial	crucial	ADJ
cana-279	132	14	step	step	NOUN
cana-279	132	15	improves	improve	VERB
cana-279	132	16	compatibility	compatibility	NOUN
cana-279	132	17	with	with	ADP
cana-279	132	18	the	the	DET
cana-279	132	19	next	next	ADJ
cana-279	132	20	quantum	quantum	ADJ
cana-279	132	21	operations	operation	NOUN
cana-279	132	22	.	.	PUNCT
cana-279	133	1	at	at	ADP
cana-279	133	2	its	its	PRON
cana-279	133	3	core	core	NOUN
cana-279	133	4	,	,	PUNCT
cana-279	133	5	the	the	DET
cana-279	133	6	hqg	hqg	PROPN
cana-279	133	7	-	-	PUNCT
cana-279	133	8	ca	ca	NOUN
cana-279	133	9	process	process	NOUN
cana-279	133	10	is	be	AUX
cana-279	133	11	the	the	DET
cana-279	133	12	quantum	quantum	NOUN
cana-279	133	13	encoding	encoding	NOUN
cana-279	133	14	block	block	NOUN
cana-279	133	15	,	,	PUNCT
cana-279	133	16	which	which	PRON
cana-279	133	17	converts	convert	VERB
cana-279	133	18	conventional	conventional	ADJ
cana-279	133	19	data	datum	NOUN
cana-279	133	20	into	into	ADP
cana-279	133	21	qubits	qubit	NOUN
cana-279	133	22	.	.	PUNCT
cana-279	134	1	in	in	ADP
cana-279	134	2	order	order	NOUN
cana-279	134	3	to	to	PART
cana-279	134	4	accomplish	accomplish	VERB
cana-279	134	5	this	this	DET
cana-279	134	6	change	change	NOUN
cana-279	134	7	,	,	PUNCT
cana-279	134	8	parameterized	parameterized	ADJ
cana-279	134	9	quantum	quantum	ADJ
cana-279	134	10	circuits	circuit	NOUN
cana-279	134	11	are	be	AUX
cana-279	134	12	used	use	VERB
cana-279	134	13	,	,	PUNCT
cana-279	134	14	which	which	PRON
cana-279	134	15	store	store	VERB
cana-279	134	16	information	information	NOUN
cana-279	134	17	about	about	ADP
cana-279	134	18	potential	potential	ADJ
cana-279	134	19	solutions	solution	NOUN
cana-279	134	20	.	.	PUNCT
cana-279	135	1	this	this	DET
cana-279	135	2	stage	stage	NOUN
cana-279	135	3	utilizes	utilize	VERB
cana-279	135	4	quantum	quantum	NOUN
cana-279	135	5	parallelism	parallelism	NOUN
cana-279	135	6	,	,	PUNCT
cana-279	135	7	a	a	DET
cana-279	135	8	characteristic	characteristic	NOUN
cana-279	135	9	of	of	ADP
cana-279	135	10	quantum	quantum	NOUN
cana-279	135	11	computing	computing	NOUN
cana-279	135	12	,	,	PUNCT
cana-279	135	13	to	to	PART
cana-279	135	14	enable	enable	VERB
cana-279	135	15	the	the	DET
cana-279	135	16	concurrent	concurrent	ADJ
cana-279	135	17	exploration	exploration	NOUN
cana-279	135	18	of	of	ADP
cana-279	135	19	several	several	ADJ
cana-279	135	20	solution	solution	NOUN
cana-279	135	21	spaces	space	NOUN
cana-279	135	22	.	.	PUNCT
cana-279	136	1	following	follow	VERB
cana-279	136	2	this	this	PRON
cana-279	136	3	,	,	PUNCT
cana-279	136	4	the	the	DET
cana-279	136	5	quantum	quantum	NOUN
cana-279	136	6	processing	processing	NOUN
cana-279	136	7	block	block	NOUN
cana-279	136	8	runs	run	VERB
cana-279	136	9	the	the	DET
cana-279	136	10	hqg	hqg	PROPN
cana-279	136	11	-	-	PUNCT
cana-279	136	12	ca	ca	NOUN
cana-279	136	13	algorithm	algorithm	NOUN
cana-279	136	14	,	,	PUNCT
cana-279	136	15	which	which	PRON
cana-279	136	16	optimizes	optimize	VERB
cana-279	136	17	inside	inside	ADP
cana-279	136	18	the	the	DET
cana-279	136	19	quantum	quantum	ADJ
cana-279	136	20	state	state	NOUN
cana-279	136	21	space	space	NOUN
cana-279	136	22	using	use	VERB
cana-279	136	23	quantum	quantum	ADJ
cana-279	136	24	gradient	gradient	NOUN
cana-279	136	25	information	information	NOUN
cana-279	136	26	.	.	PUNCT
cana-279	137	1	this	this	DET
cana-279	137	2	basic	basic	ADJ
cana-279	137	3	quantum	quantum	NOUN
cana-279	137	4	advantage	advantage	NOUN
cana-279	137	5	allows	allow	VERB
cana-279	137	6	efficient	efficient	ADJ
cana-279	137	7	exploration	exploration	NOUN
cana-279	137	8	of	of	ADP
cana-279	137	9	solution	solution	NOUN
cana-279	137	10	spaces	space	NOUN
cana-279	137	11	,	,	PUNCT
cana-279	137	12	which	which	PRON
cana-279	137	13	might	might	AUX
cana-279	137	14	outperform	outperform	VERB
cana-279	137	15	conventional	conventional	ADJ
cana-279	137	16	approaches	approach	NOUN
cana-279	137	17	.	.	PUNCT
cana-279	138	1	important	important	ADJ
cana-279	138	2	post	post	ADJ
cana-279	138	3	-	-	ADJ
cana-279	138	4	quantum	quantum	ADJ
cana-279	138	5	processing	processing	NOUN
cana-279	138	6	functions	function	NOUN
cana-279	138	7	are	be	AUX
cana-279	138	8	performed	perform	VERB
cana-279	138	9	by	by	ADP
cana-279	138	10	the	the	DET
cana-279	138	11	quantum	quantum	ADJ
cana-279	138	12	measurement	measurement	NOUN
cana-279	138	13	block	block	NOUN
cana-279	138	14	.	.	PUNCT
cana-279	139	1	in	in	ADP
cana-279	139	2	order	order	NOUN
cana-279	139	3	to	to	PART
cana-279	139	4	get	get	VERB
cana-279	139	5	classical	classical	ADJ
cana-279	139	6	bits	bit	NOUN
cana-279	139	7	that	that	PRON
cana-279	139	8	represent	represent	VERB
cana-279	139	9	the	the	DET
cana-279	139	10	optimal	optimal	ADJ
cana-279	139	11	parameters	parameter	NOUN
cana-279	139	12	,	,	PUNCT
cana-279	139	13	it	it	PRON
cana-279	139	14	is	be	AUX
cana-279	139	15	necessary	necessary	ADJ
cana-279	139	16	to	to	PART
cana-279	139	17	measure	measure	VERB
cana-279	139	18	the	the	DET
cana-279	139	19	quantum	quantum	ADJ
cana-279	139	20	state	state	NOUN
cana-279	139	21	.	.	PUNCT
cana-279	140	1	transferring	transfer	VERB
cana-279	140	2	from	from	ADP
cana-279	140	3	the	the	DET
cana-279	140	4	quantum	quantum	NOUN
cana-279	140	5	to	to	ADP
cana-279	140	6	the	the	DET
cana-279	140	7	classical	classical	ADJ
cana-279	140	8	realm	realm	NOUN
cana-279	140	9	for	for	ADP
cana-279	140	10	additional	additional	ADJ
cana-279	140	11	refining	refining	NOUN
cana-279	140	12	is	be	AUX
cana-279	140	13	made	make	VERB
cana-279	140	14	possible	possible	ADJ
cana-279	140	15	by	by	ADP
cana-279	140	16	this	this	DET
cana-279	140	17	critical	critical	ADJ
cana-279	140	18	bridge	bridge	NOUN
cana-279	140	19	step	step	NOUN
cana-279	140	20	.	.	PUNCT
cana-279	141	1	the	the	DET
cana-279	141	2	next	next	ADJ
cana-279	141	3	step	step	NOUN
cana-279	141	4	is	be	AUX
cana-279	141	5	classical	classical	ADJ
cana-279	141	6	post	post	ADJ
cana-279	141	7	-	-	ADJ
cana-279	141	8	processing	processing	NOUN
cana-279	141	9	,	,	PUNCT
cana-279	141	10	which	which	PRON
cana-279	141	11	uses	use	VERB
cana-279	141	12	classical	classical	ADJ
cana-279	141	13	methods	method	NOUN
cana-279	141	14	to	to	PART
cana-279	141	15	refine	refine	VERB
cana-279	141	16	the	the	DET
cana-279	141	17	answer	answer	NOUN
cana-279	141	18	and	and	CCONJ
cana-279	141	19	check	check	VERB
cana-279	141	20	for	for	ADP
cana-279	141	21	constraints	constraint	NOUN
cana-279	141	22	.	.	PUNCT
cana-279	142	1	the	the	DET
cana-279	142	2	generated	generate	VERB
cana-279	142	3	solution	solution	NOUN
cana-279	142	4	is	be	AUX
cana-279	142	5	guaranteed	guarantee	VERB
cana-279	142	6	to	to	PART
cana-279	142	7	be	be	AUX
cana-279	142	8	consistent	consistent	ADJ
cana-279	142	9	with	with	ADP
cana-279	142	10	the	the	DET
cana-279	142	11	provided	provide	VERB
cana-279	142	12	constraints	constraint	NOUN
cana-279	142	13	,	,	PUNCT
cana-279	142	14	which	which	PRON
cana-279	142	15	improves	improve	VERB
cana-279	142	16	the	the	DET
cana-279	142	17	dependability	dependability	NOUN
cana-279	142	18	of	of	ADP
cana-279	142	19	the	the	DET
cana-279	142	20	optimized	optimize	VERB
cana-279	142	21	parameters	parameter	NOUN
cana-279	142	22	in	in	ADP
cana-279	142	23	the	the	DET
cana-279	142	24	end	end	NOUN
cana-279	142	25	.	.	PUNCT
cana-279	143	1	the	the	DET
cana-279	143	2	hqg	hqg	PROPN
cana-279	143	3	-	-	PUNCT
cana-279	143	4	ca	ca	NOUN
cana-279	143	5	procedure	procedure	NOUN
cana-279	143	6	continues	continue	VERB
cana-279	143	7	with	with	ADP
cana-279	143	8	the	the	DET
cana-279	143	9	output	output	NOUN
cana-279	143	10	block	block	NOUN
cana-279	143	11	,	,	PUNCT
cana-279	143	12	which	which	PRON
cana-279	143	13	displays	display	VERB
cana-279	143	14	the	the	DET
cana-279	143	15	optimal	optimal	ADJ
cana-279	143	16	solution	solution	NOUN
cana-279	143	17	in	in	ADP
cana-279	143	18	its	its	PRON
cana-279	143	19	final	final	ADJ
cana-279	143	20	form	form	NOUN
cana-279	143	21	.	.	PUNCT
cana-279	144	1	the	the	DET
cana-279	144	2	optimized	optimize	VERB
cana-279	144	3	parameter	parameter	NOUN
cana-279	144	4	settings	setting	NOUN
cana-279	144	5	and	and	CCONJ
cana-279	144	6	matching	match	VERB
cana-279	144	7	objective	objective	ADJ
cana-279	144	8	function	function	NOUN
cana-279	144	9	values	value	NOUN
cana-279	144	10	are	be	AUX
cana-279	144	11	included	include	VERB
cana-279	144	12	in	in	ADP
cana-279	144	13	this	this	PRON
cana-279	144	14	,	,	PUNCT
cana-279	144	15	which	which	PRON
cana-279	144	16	provides	provide	VERB
cana-279	144	17	realistic	realistic	ADJ
cana-279	144	18	results	result	NOUN
cana-279	144	19	.	.	PUNCT
cana-279	145	1	a	a	DET
cana-279	145	2	careful	careful	ADJ
cana-279	145	3	waltz	waltz	NOUN
cana-279	145	4	between	between	ADP
cana-279	145	5	classical	classical	ADJ
cana-279	145	6	and	and	CCONJ
cana-279	145	7	communications	communication	NOUN
cana-279	145	8	on	on	ADP
cana-279	145	9	applied	apply	VERB
cana-279	145	10	nonlinear	nonlinear	ADJ
cana-279	145	11	analysis	analysis	NOUN
cana-279	145	12	issn	issn	NOUN
cana-279	145	13	:	:	PUNCT
cana-279	145	14	1074	1074	NUM
cana-279	145	15	-	-	PUNCT
cana-279	145	16	133x	133x	NUM
cana-279	145	17	vol	vol	NOUN
cana-279	145	18	30	30	NUM
cana-279	145	19	no	no	NOUN
cana-279	145	20	.	.	NOUN
cana-279	145	21	4	4	NUM
cana-279	145	22	(	(	PUNCT
cana-279	145	23	2023	2023	NUM
cana-279	145	24	)	)	PUNCT
cana-279	145	25	8	8	NUM
cana-279	145	26	https://internationalpubls.com	https://internationalpubls.com	X
cana-279	145	27	quantum	quantum	NOUN
cana-279	145	28	computing	computing	NOUN
cana-279	145	29	underpins	underpin	VERB
cana-279	145	30	the	the	DET
cana-279	145	31	whole	whole	ADJ
cana-279	145	32	thing	thing	NOUN
cana-279	145	33	,	,	PUNCT
cana-279	145	34	demonstrating	demonstrate	VERB
cana-279	145	35	how	how	SCONJ
cana-279	145	36	the	the	DET
cana-279	145	37	two	two	NUM
cana-279	145	38	paradigms	paradigms	NOUN
cana-279	145	39	may	may	AUX
cana-279	145	40	work	work	VERB
cana-279	145	41	together	together	ADV
cana-279	145	42	to	to	PART
cana-279	145	43	solve	solve	VERB
cana-279	145	44	difficult	difficult	ADJ
cana-279	145	45	optimization	optimization	NOUN
cana-279	145	46	issues	issue	NOUN
cana-279	145	47	.	.	PUNCT
cana-279	146	1	critical	critical	ADJ
cana-279	146	2	to	to	ADP
cana-279	146	3	hqg	hqg	PROPN
cana-279	146	4	-	-	PUNCT
cana-279	146	5	ca	ca	PROPN
cana-279	146	6	's	's	PART
cana-279	146	7	efficacy	efficacy	NOUN
cana-279	146	8	is	be	AUX
cana-279	146	9	the	the	DET
cana-279	146	10	performance	performance	NOUN
cana-279	146	11	evaluation	evaluation	NOUN
cana-279	146	12	block	block	NOUN
cana-279	146	13	,	,	PUNCT
cana-279	146	14	which	which	PRON
cana-279	146	15	uses	use	VERB
cana-279	146	16	a	a	DET
cana-279	146	17	number	number	NOUN
cana-279	146	18	of	of	ADP
cana-279	146	19	measures	measure	NOUN
cana-279	146	20	to	to	PART
cana-279	146	21	draw	draw	VERB
cana-279	146	22	findings	finding	NOUN
cana-279	146	23	.	.	PUNCT
cana-279	147	1	scalability	scalability	NOUN
cana-279	147	2	,	,	PUNCT
cana-279	147	3	correctness	correctness	NOUN
cana-279	147	4	of	of	ADP
cana-279	147	5	solutions	solution	NOUN
cana-279	147	6	,	,	PUNCT
cana-279	147	7	and	and	CCONJ
cana-279	147	8	algorithmic	algorithmic	ADJ
cana-279	147	9	speedup	speedup	NOUN
cana-279	147	10	are	be	AUX
cana-279	147	11	some	some	PRON
cana-279	147	12	of	of	ADP
cana-279	147	13	the	the	DET
cana-279	147	14	possible	possible	ADJ
cana-279	147	15	criteria	criterion	NOUN
cana-279	147	16	.	.	PUNCT
cana-279	148	1	to	to	PART
cana-279	148	2	fully	fully	ADV
cana-279	148	3	grasp	grasp	VERB
cana-279	148	4	the	the	DET
cana-279	148	5	potential	potential	NOUN
cana-279	148	6	of	of	ADP
cana-279	148	7	hqg	hqg	PROPN
cana-279	148	8	-	-	PROPN
cana-279	148	9	ca	ca	PROPN
cana-279	148	10	and	and	CCONJ
cana-279	148	11	its	its	PRON
cana-279	148	12	practical	practical	ADJ
cana-279	148	13	application	application	NOUN
cana-279	148	14	,	,	PUNCT
cana-279	148	15	it	it	PRON
cana-279	148	16	is	be	AUX
cana-279	148	17	necessary	necessary	ADJ
cana-279	148	18	to	to	PART
cana-279	148	19	conduct	conduct	VERB
cana-279	148	20	extensive	extensive	ADJ
cana-279	148	21	simulation	simulation	NOUN
cana-279	148	22	tests	test	NOUN
cana-279	148	23	and	and	CCONJ
cana-279	148	24	compare	compare	VERB
cana-279	148	25	them	they	PRON
cana-279	148	26	with	with	ADP
cana-279	148	27	traditional	traditional	ADJ
cana-279	148	28	alternatives	alternative	NOUN
cana-279	148	29	.	.	PUNCT
cana-279	149	1	figure	figure	NOUN
cana-279	149	2	2	2	NUM
cana-279	149	3	illustrates	illustrate	VERB
cana-279	149	4	the	the	DET
cana-279	149	5	hqg	hqg	PROPN
cana-279	149	6	-	-	PUNCT
cana-279	149	7	ca	ca	NOUN
cana-279	149	8	approach	approach	NOUN
cana-279	149	9	's	's	PART
cana-279	149	10	complex	complex	ADJ
cana-279	149	11	procedures	procedure	NOUN
cana-279	149	12	,	,	PUNCT
cana-279	149	13	emphasizing	emphasize	VERB
cana-279	149	14	the	the	DET
cana-279	149	15	complementary	complementary	ADJ
cana-279	149	16	nature	nature	NOUN
cana-279	149	17	of	of	ADP
cana-279	149	18	quantum	quantum	NOUN
cana-279	149	19	and	and	CCONJ
cana-279	149	20	conventional	conventional	ADJ
cana-279	149	21	computing	computing	NOUN
cana-279	149	22	.	.	PUNCT
cana-279	150	1	with	with	ADP
cana-279	150	2	the	the	DET
cana-279	150	3	on	on	ADP
cana-279	150	4	-	-	PUNCT
cana-279	150	5	going	go	VERB
cana-279	150	6	development	development	NOUN
cana-279	150	7	of	of	ADP
cana-279	150	8	quantum	quantum	NOUN
cana-279	150	9	computing	computing	NOUN
cana-279	150	10	,	,	PUNCT
cana-279	150	11	this	this	DET
cana-279	150	12	process	process	NOUN
cana-279	150	13	offers	offer	VERB
cana-279	150	14	a	a	DET
cana-279	150	15	potential	potential	ADJ
cana-279	150	16	solution	solution	NOUN
cana-279	150	17	to	to	ADP
cana-279	150	18	optimization	optimization	NOUN
cana-279	150	19	problems	problem	NOUN
cana-279	150	20	in	in	ADP
cana-279	150	21	the	the	DET
cana-279	150	22	real	real	ADJ
cana-279	150	23	world	world	NOUN
cana-279	150	24	.	.	PUNCT
cana-279	151	1	as	as	ADP
cana-279	151	2	a	a	DET
cana-279	151	3	leading	lead	VERB
cana-279	151	4	contender	contender	NOUN
cana-279	151	5	for	for	ADP
cana-279	151	6	future	future	ADJ
cana-279	151	7	optimization	optimization	NOUN
cana-279	151	8	developments	development	NOUN
cana-279	151	9	,	,	PUNCT
cana-279	151	10	hqg	hqg	PROPN
cana-279	151	11	-	-	PUNCT
cana-279	151	12	ca	can	AUX
cana-279	151	13	provides	provide	VERB
cana-279	151	14	expedited	expedite	VERB
cana-279	151	15	solutions	solution	NOUN
cana-279	151	16	with	with	ADP
cana-279	151	17	better	well	ADJ
cana-279	151	18	accuracy	accuracy	NOUN
cana-279	151	19	and	and	CCONJ
cana-279	151	20	scalability	scalability	NOUN
cana-279	151	21	.	.	PUNCT
cana-279	152	1	a	a	DET
cana-279	152	2	flexible	flexible	ADJ
cana-279	152	3	and	and	CCONJ
cana-279	152	4	potent	potent	ADJ
cana-279	152	5	optimization	optimization	NOUN
cana-279	152	6	method	method	NOUN
cana-279	152	7	,	,	PUNCT
cana-279	152	8	hqg	hqg	PROPN
cana-279	152	9	-	-	PUNCT
cana-279	152	10	ca	ca	AUX
cana-279	152	11	integrates	integrate	VERB
cana-279	152	12	conventional	conventional	ADJ
cana-279	152	13	optimization	optimization	NOUN
cana-279	152	14	methods	method	NOUN
cana-279	152	15	with	with	ADP
cana-279	152	16	quantum	quantum	NOUN
cana-279	152	17	computing	computing	NOUN
cana-279	152	18	,	,	PUNCT
cana-279	152	19	capitalizing	capitalize	VERB
cana-279	152	20	on	on	ADP
cana-279	152	21	the	the	DET
cana-279	152	22	advantages	advantage	NOUN
cana-279	152	23	of	of	ADP
cana-279	152	24	both	both	DET
cana-279	152	25	perspectives	perspective	NOUN
cana-279	152	26	to	to	PART
cana-279	152	27	effectively	effectively	ADV
cana-279	152	28	resolve	resolve	VERB
cana-279	152	29	complicated	complicated	ADJ
cana-279	152	30	problems	problem	NOUN
cana-279	152	31	.	.	PUNCT
cana-279	153	1	𝑂𝐸	𝑂𝐸	PROPN
cana-279	153	2	=	=	SYM
cana-279	153	3	1	1	NUM
cana-279	153	4	𝛽	𝛽	NOUN
cana-279	153	5	∑	∑	PUNCT
cana-279	153	6	(	(	PUNCT
cana-279	153	7	𝑇𝑑𝑗	𝑇𝑑𝑗	PROPN
cana-279	153	8	𝑈𝑑𝑗	𝑈𝑑𝑗	PROPN
cana-279	153	9	)	)	PUNCT
cana-279	153	10	.	.	PUNCT
cana-279	154	1	(	(	PUNCT
cana-279	154	2	1	1	NUM
cana-279	154	3	−	−	PROPN
cana-279	154	4	𝐹𝑟𝑗	𝐹𝑟𝑗	PROPN
cana-279	154	5	𝐹𝑑𝑗	𝐹𝑑𝑗	PROPN
cana-279	154	6	)	)	PUNCT
cana-279	154	7	𝑂	𝑂	PROPN
cana-279	154	8	𝑗=1	𝑗=1	PROPN
cana-279	154	9	.	.	PUNCT
cana-279	155	1	(	(	PUNCT
cana-279	155	2	1	1	NUM
cana-279	155	3	−	−	NOUN
cana-279	155	4	𝐺𝑟𝑗	𝐺𝑟𝑗	NOUN
cana-279	155	5	𝐺𝑟𝑗	𝐺𝑟𝑗	NOUN
cana-279	155	6	)	)	PUNCT
cana-279	155	7	.	.	PUNCT
cana-279	156	1	(	(	PUNCT
cana-279	156	2	1	1	NUM
cana-279	156	3	−	−	PROPN
cana-279	156	4	𝐼𝑓𝑗	𝐼𝑓𝑗	PROPN
cana-279	156	5	𝐼𝑑𝑗	𝐼𝑑𝑗	PROPN
cana-279	156	6	)	)	PUNCT
cana-279	156	7	(	(	PUNCT
cana-279	156	8	4	4	X
cana-279	156	9	)	)	PUNCT
cana-279	156	10	the	the	DET
cana-279	156	11	equation	equation	NOUN
cana-279	156	12	(	(	PUNCT
cana-279	156	13	4	4	X
cana-279	156	14	)	)	PUNCT
cana-279	156	15	uses	use	VERB
cana-279	156	16	the	the	DET
cana-279	156	17	hybrid	hybrid	ADJ
cana-279	156	18	quantum	quantum	NOUN
cana-279	156	19	-	-	ADJ
cana-279	156	20	classical	classical	ADJ
cana-279	156	21	genetic	genetic	ADJ
cana-279	156	22	technique	technique	NOUN
cana-279	156	23	(	(	PUNCT
cana-279	156	24	hqg	hqg	PROPN
cana-279	156	25	-	-	PUNCT
cana-279	156	26	ca	ca	PROPN
cana-279	156	27	)	)	PUNCT
cana-279	156	28	,	,	PUNCT
cana-279	156	29	a	a	DET
cana-279	156	30	quantum	quantum	NOUN
cana-279	156	31	technique	technique	NOUN
cana-279	156	32	designed	design	VERB
cana-279	156	33	to	to	PART
cana-279	156	34	solve	solve	VERB
cana-279	156	35	nonlinear	nonlinear	ADJ
cana-279	156	36	optimization	optimization	NOUN
cana-279	156	37	problems	problem	NOUN
cana-279	156	38	,	,	PUNCT
cana-279	156	39	and	and	CCONJ
cana-279	156	40	its	its	PRON
cana-279	156	41	overall	overall	ADJ
cana-279	156	42	efficiency	efficiency	NOUN
cana-279	156	43	is	be	AUX
cana-279	156	44	denoted	denote	VERB
cana-279	156	45	by	by	ADP
cana-279	156	46	𝑂𝐸.	𝑂𝐸.	PROPN
cana-279	156	47	a	a	DET
cana-279	156	48	weighting	weighting	NOUN
cana-279	156	49	factor	factor	NOUN
cana-279	156	50	denoted	denote	VERB
cana-279	156	51	by	by	ADP
cana-279	156	52	𝛽	𝛽	NOUN
cana-279	156	53	and	and	CCONJ
cana-279	156	54	the	the	DET
cana-279	156	55	amount	amount	NOUN
cana-279	156	56	of	of	ADP
cana-279	156	57	experiments	experiment	NOUN
cana-279	156	58	denoted	denote	VERB
cana-279	156	59	by	by	ADP
cana-279	156	60	𝑂	𝑂	PROPN
cana-279	156	61	are	be	AUX
cana-279	156	62	both	both	PRON
cana-279	156	63	used	use	VERB
cana-279	156	64	in	in	ADP
cana-279	156	65	this	this	DET
cana-279	156	66	setting	setting	NOUN
cana-279	156	67	.	.	PUNCT
cana-279	157	1	from	from	ADP
cana-279	157	2	one	one	NUM
cana-279	157	3	experiment	experiment	NOUN
cana-279	157	4	to	to	ADP
cana-279	157	5	the	the	DET
cana-279	157	6	next	next	ADJ
cana-279	157	7	,	,	PUNCT
cana-279	157	8	the	the	DET
cana-279	157	9	sum	sum	NOUN
cana-279	157	10	∑	∑	PUNCT
cana-279	157	11	,	,	PUNCT
cana-279	157	12	𝑂	𝑂	PROPN
cana-279	157	13	𝑗=1	𝑗=1	PROPN
cana-279	157	14	is	be	AUX
cana-279	157	15	applied	apply	VERB
cana-279	157	16	.	.	PUNCT
cana-279	158	1	in	in	ADP
cana-279	158	2	the	the	DET
cana-279	158	3	𝑗th	𝑗th	PROPN
cana-279	158	4	experiment	experiment	NOUN
cana-279	158	5	,	,	PUNCT
cana-279	158	6	the	the	DET
cana-279	158	7	quantum	quantum	ADJ
cana-279	158	8	state	state	NOUN
cana-279	158	9	is	be	AUX
cana-279	158	10	represented	represent	VERB
cana-279	158	11	by	by	ADP
cana-279	158	12	𝑈𝑑𝑗	𝑈𝑑𝑗	PROPN
cana-279	158	13	and	and	CCONJ
cana-279	158	14	𝑇𝑑𝑗.	𝑇𝑑𝑗.	PROPN
cana-279	158	15	the	the	DET
cana-279	158	16	𝐹𝑑𝑗	𝐹𝑑𝑗	PROPN
cana-279	158	17	stands	stand	VERB
cana-279	158	18	for	for	ADP
cana-279	158	19	the	the	DET
cana-279	158	20	quantum	quantum	ADJ
cana-279	158	21	computation	computation	NOUN
cana-279	158	22	's	's	PART
cana-279	158	23	error	error	NOUN
cana-279	158	24	rate	rate	NOUN
cana-279	158	25	,	,	PUNCT
cana-279	158	26	and	and	CCONJ
cana-279	158	27	𝐹𝑟𝑗	𝐹𝑟𝑗	PROPN
cana-279	158	28	⁡for	⁡for	ADP
cana-279	158	29	the	the	DET
cana-279	158	30	quantum	quantum	ADJ
cana-279	158	31	state	state	NOUN
cana-279	158	32	's	's	PART
cana-279	158	33	fidelity	fidelity	NOUN
cana-279	158	34	,	,	PUNCT
cana-279	158	35	which	which	PRON
cana-279	158	36	indicates	indicate	VERB
cana-279	158	37	how	how	SCONJ
cana-279	158	38	accurate	accurate	ADJ
cana-279	158	39	and	and	CCONJ
cana-279	158	40	near	near	ADJ
cana-279	158	41	to	to	ADP
cana-279	158	42	the	the	DET
cana-279	158	43	ideal	ideal	ADJ
cana-279	158	44	solution	solution	NOUN
cana-279	158	45	it	it	PRON
cana-279	158	46	is	be	AUX
cana-279	158	47	.	.	PUNCT
cana-279	159	1	the	the	DET
cana-279	159	2	entanglement	entanglement	NOUN
cana-279	159	3	entropies	entropy	NOUN
cana-279	159	4	of	of	ADP
cana-279	159	5	the	the	DET
cana-279	159	6	quantum	quantum	NOUN
cana-279	159	7	as	as	ADV
cana-279	159	8	well	well	ADV
cana-279	159	9	as	as	ADP
cana-279	159	10	classical	classical	ADJ
cana-279	159	11	phases	phase	NOUN
cana-279	159	12	in	in	ADP
cana-279	159	13	the	the	DET
cana-279	159	14	𝑗th	𝑗th	PROPN
cana-279	159	15	experiment	experiment	NOUN
cana-279	159	16	are⁡𝐼𝑓𝑗	are⁡𝐼𝑓𝑗	PROPN
cana-279	159	17	and	and	CCONJ
cana-279	159	18	𝐼𝑑𝑗	𝐼𝑑𝑗	PROPN
cana-279	159	19	,	,	PUNCT
cana-279	159	20	respectively	respectively	ADV
cana-279	159	21	,	,	PUNCT
cana-279	159	22	which	which	PRON
cana-279	159	23	measure	measure	VERB
cana-279	159	24	the	the	DET
cana-279	159	25	level	level	NOUN
cana-279	159	26	of	of	ADP
cana-279	159	27	correlation	correlation	NOUN
cana-279	159	28	with	with	ADP
cana-279	159	29	complexity	complexity	NOUN
cana-279	159	30	inside	inside	ADP
cana-279	159	31	the	the	DET
cana-279	159	32	quantum	quantum	ADJ
cana-279	159	33	system	system	NOUN
cana-279	159	34	.	.	PUNCT
cana-279	160	1	a	a	DET
cana-279	160	2	thorough	thorough	ADJ
cana-279	160	3	assessment	assessment	NOUN
cana-279	160	4	of	of	ADP
cana-279	160	5	hqg	hqg	PROPN
cana-279	160	6	-	-	PUNCT
cana-279	160	7	efficiency	efficiency	NOUN
cana-279	160	8	ca	ca	NOUN
cana-279	160	9	's	be	AUX
cana-279	160	10	for	for	ADP
cana-279	160	11	addressing	address	VERB
cana-279	160	12	nonlinear	nonlinear	ADJ
cana-279	160	13	optimization	optimization	NOUN
cana-279	160	14	issues	issue	NOUN
cana-279	160	15	is	be	AUX
cana-279	160	16	sought	seek	VERB
cana-279	160	17	after	after	ADP
cana-279	160	18	by	by	ADP
cana-279	160	19	the	the	DET
cana-279	160	20	equation	equation	NOUN
cana-279	160	21	(	(	PUNCT
cana-279	160	22	4	4	NUM
cana-279	160	23	)	)	PUNCT
cana-279	160	24	,	,	PUNCT
cana-279	160	25	which	which	PRON
cana-279	160	26	takes	take	VERB
cana-279	160	27	into	into	ADP
cana-279	160	28	account	account	NOUN
cana-279	160	29	various	various	ADJ
cana-279	160	30	experimentally	experimentally	ADV
cana-279	160	31	-	-	PUNCT
cana-279	160	32	observed	observe	VERB
cana-279	160	33	metrics	metric	NOUN
cana-279	160	34	like	like	ADP
cana-279	160	35	speedup	speedup	NOUN
cana-279	160	36	,	,	PUNCT
cana-279	160	37	rate	rate	NOUN
cana-279	160	38	of	of	ADP
cana-279	160	39	errors	error	NOUN
cana-279	160	40	,	,	PUNCT
cana-279	160	41	devotion	devotion	NOUN
cana-279	160	42	,	,	PUNCT
cana-279	160	43	and	and	CCONJ
cana-279	160	44	entanglement	entanglement	NOUN
cana-279	160	45	characteristics	characteristic	NOUN
cana-279	160	46	of	of	ADP
cana-279	160	47	quantum	quantum	ADJ
cana-279	160	48	states	state	NOUN
cana-279	160	49	.	.	PUNCT
cana-279	161	1	𝑅(𝜃	𝑅(𝜃	VERB
cana-279	161	2	)	)	PUNCT
cana-279	161	3	=	=	SYM
cana-279	161	4	∑	∑	NOUN
cana-279	161	5	|〈𝛹𝑗(𝜃)|𝐼|𝛹𝑗(𝜃	|〈𝛹𝑗(𝜃)|𝐼|𝛹𝑗(𝜃	X
cana-279	161	6	)	)	PUNCT
cana-279	161	7	〉	〉	NOUN
cana-279	161	8	𝑂	𝑂	NOUN
cana-279	161	9	𝑗=1	𝑗=1	PROPN
cana-279	161	10	−	−	PROPN
cana-279	161	11	𝐹𝑗|	𝐹𝑗|	SYM
cana-279	161	12	2	2	NUM
cana-279	161	13	⊗	⊗	NOUN
cana-279	161	14	(	(	PUNCT
cana-279	161	15	∑	∑	INTJ
cana-279	161	16	〈	〈	PROPN
cana-279	161	17	𝜑𝑘(𝜃)|𝐷|𝜑𝑘(𝜃	𝜑𝑘(𝜃)|𝐷|𝜑𝑘(𝜃	PROPN
cana-279	161	18	)	)	PUNCT
cana-279	161	19	〉	〉	NOUN
cana-279	161	20	𝑁	𝑁	NOUN
cana-279	161	21	𝑘=1	𝑘=1	PROPN
cana-279	161	22	)	)	PUNCT
cana-279	161	23	(	(	PUNCT
cana-279	161	24	5	5	X
cana-279	161	25	)	)	PUNCT
cana-279	161	26	the	the	DET
cana-279	161	27	quantum	quantum	NOUN
cana-279	161	28	cost	cost	NOUN
cana-279	161	29	function	function	NOUN
cana-279	161	30	with	with	ADP
cana-279	161	31	entanglement	entanglement	NOUN
cana-279	161	32	,	,	PUNCT
cana-279	161	33	important	important	ADJ
cana-279	161	34	in	in	ADP
cana-279	161	35	the	the	DET
cana-279	161	36	field	field	NOUN
cana-279	161	37	of	of	ADP
cana-279	161	38	hybrid	hybrid	ADJ
cana-279	161	39	quantum	quantum	NOUN
cana-279	161	40	-	-	PUNCT
cana-279	161	41	classical	classical	ADJ
cana-279	161	42	optimization	optimization	NOUN
cana-279	161	43	algorithms	algorithm	NOUN
cana-279	161	44	like	like	ADP
cana-279	161	45	hqg	hqg	PROPN
cana-279	161	46	-	-	PROPN
cana-279	161	47	ca	ca	PROPN
cana-279	161	48	,	,	PUNCT
cana-279	161	49	is	be	AUX
cana-279	161	50	represented	represent	VERB
cana-279	161	51	by	by	ADP
cana-279	161	52	𝑅(𝜃	𝑅(𝜃	NOUN
cana-279	161	53	)	)	PUNCT
cana-279	161	54	in	in	ADP
cana-279	161	55	equation	equation	NOUN
cana-279	161	56	(	(	PUNCT
cana-279	161	57	5	5	NUM
cana-279	161	58	)	)	PUNCT
cana-279	161	59	.	.	PUNCT
cana-279	162	1	the	the	DET
cana-279	162	2	accuracy	accuracy	NOUN
cana-279	162	3	of	of	ADP
cana-279	162	4	the	the	DET
cana-279	162	5	parameterized	parameterized	ADJ
cana-279	162	6	quantum	quantum	NOUN
cana-279	162	7	states	state	NOUN
cana-279	162	8	in	in	ADP
cana-279	162	9	representing	represent	VERB
cana-279	162	10	the	the	DET
cana-279	162	11	anticipated	anticipated	ADJ
cana-279	162	12	an	an	DET
cana-279	162	13	eigenvalue	eigenvalue	NOUN
cana-279	162	14	of	of	ADP
cana-279	162	15	the	the	DET
cana-279	162	16	hamiltonian	hamiltonian	ADJ
cana-279	162	17	matrices	matrix	NOUN
cana-279	162	18	𝐼	𝐼	PROPN
cana-279	162	19	is	be	AUX
cana-279	162	20	measured	measure	VERB
cana-279	162	21	by	by	ADP
cana-279	162	22	the	the	DET
cana-279	162	23	function	function	NOUN
cana-279	162	24	|𝛹𝑗(𝜃)⟩.	|𝛹𝑗(𝜃)⟩.	NOUN
cana-279	162	25	the	the	DET
cana-279	162	26	composite	composite	ADJ
cana-279	162	27	character	character	NOUN
cana-279	162	28	of	of	ADP
cana-279	162	29	the	the	DET
cana-279	162	30	quantum	quantum	ADJ
cana-279	162	31	state	state	NOUN
cana-279	162	32	being	be	AUX
cana-279	162	33	considered	consider	VERB
cana-279	162	34	is	be	AUX
cana-279	162	35	shown	show	VERB
cana-279	162	36	by	by	ADP
cana-279	162	37	the	the	DET
cana-279	162	38	summing	summing	NOUN
cana-279	162	39	over	over	ADP
cana-279	162	40	𝑂	𝑂	PROPN
cana-279	162	41	states	state	NOUN
cana-279	162	42	.	.	PUNCT
cana-279	163	1	a	a	DET
cana-279	163	2	tensor	tensor	NOUN
cana-279	163	3	product	product	NOUN
cana-279	163	4	,	,	PUNCT
cana-279	163	5	denoted	denote	VERB
cana-279	163	6	as	as	ADP
cana-279	163	7	⊗	⊗	NOUN
cana-279	163	8	,	,	PUNCT
cana-279	163	9	and	and	CCONJ
cana-279	163	10	an	an	DET
cana-279	163	11	extra	extra	ADJ
cana-279	163	12	summation	summation	NOUN
cana-279	163	13	over	over	ADP
cana-279	163	14	states	state	NOUN
cana-279	163	15	|𝜑𝑘(𝜃)⟩	|𝜑𝑘(𝜃)⟩	ADV
cana-279	163	16	,	,	PUNCT
cana-279	163	17	is	be	AUX
cana-279	163	18	introduced	introduce	VERB
cana-279	163	19	by	by	ADP
cana-279	163	20	the	the	DET
cana-279	163	21	entanglement	entanglement	NOUN
cana-279	163	22	factor	factor	NOUN
cana-279	163	23	.	.	PUNCT
cana-279	164	1	this	this	PRON
cana-279	164	2	illustrates	illustrate	VERB
cana-279	164	3	how	how	SCONJ
cana-279	164	4	quantum	quantum	ADJ
cana-279	164	5	systems	system	NOUN
cana-279	164	6	are	be	AUX
cana-279	164	7	entangled	entangle	VERB
cana-279	164	8	and	and	CCONJ
cana-279	164	9	how	how	SCONJ
cana-279	164	10	the	the	DET
cana-279	164	11	optimization	optimization	NOUN
cana-279	164	12	landscape	landscape	NOUN
cana-279	164	13	is	be	AUX
cana-279	164	14	characterized	characterize	VERB
cana-279	164	15	by	by	ADP
cana-279	164	16	the	the	DET
cana-279	164	17	complex	complex	ADJ
cana-279	164	18	interdependence	interdependence	NOUN
cana-279	164	19	of	of	ADP
cana-279	164	20	quantum	quantum	ADJ
cana-279	164	21	states	state	NOUN
cana-279	164	22	.	.	PUNCT
cana-279	165	1	an	an	DET
cana-279	165	2	operator	operator	NOUN
cana-279	165	3	working	work	VERB
cana-279	165	4	on	on	ADP
cana-279	165	5	each	each	DET
cana-279	165	6	state	state	NOUN
cana-279	165	7	|𝜑𝑘(𝜃)⟩	|𝜑𝑘(𝜃)⟩	ADP
cana-279	165	8	is	be	AUX
cana-279	165	9	represented	represent	VERB
cana-279	165	10	by	by	ADP
cana-279	165	11	𝐷	𝐷	PROPN
cana-279	165	12	,	,	PUNCT
cana-279	165	13	and	and	CCONJ
cana-279	165	14	the	the	DET
cana-279	165	15	𝑗th	𝑗th	NOUN
cana-279	165	16	predicted	predict	VERB
cana-279	165	17	eigenvalue	eigenvalue	PROPN
cana-279	165	18	is	be	AUX
cana-279	165	19	denoted	denote	VERB
cana-279	165	20	by	by	ADP
cana-279	165	21	𝐹𝑗.	𝐹𝑗.	PROPN
cana-279	165	22	in	in	ADP
cana-279	165	23	order	order	NOUN
cana-279	165	24	to	to	PART
cana-279	165	25	use	use	VERB
cana-279	165	26	quantum	quantum	ADJ
cana-279	165	27	algorithms	algorithm	NOUN
cana-279	165	28	for	for	ADP
cana-279	165	29	optimization	optimization	NOUN
cana-279	165	30	problems	problem	NOUN
cana-279	165	31	,	,	PUNCT
cana-279	165	32	the	the	DET
cana-279	165	33	general	general	ADJ
cana-279	165	34	difficulty	difficulty	NOUN
cana-279	165	35	of	of	ADP
cana-279	165	36	the	the	DET
cana-279	165	37	equation	equation	NOUN
cana-279	165	38	(	(	PUNCT
cana-279	165	39	5	5	X
cana-279	165	40	)	)	PUNCT
cana-279	165	41	must	must	AUX
cana-279	165	42	represent	represent	VERB
cana-279	165	43	the	the	DET
cana-279	165	44	subtle	subtle	ADJ
cana-279	165	45	connections	connection	NOUN
cana-279	165	46	and	and	CCONJ
cana-279	165	47	entanglement	entanglement	NOUN
cana-279	165	48	present	present	NOUN
cana-279	165	49	in	in	ADP
cana-279	165	50	quantum	quantum	ADJ
cana-279	165	51	systems	system	NOUN
cana-279	165	52	.	.	PUNCT
cana-279	166	1	communications	communication	NOUN
cana-279	166	2	on	on	ADP
cana-279	166	3	applied	apply	VERB
cana-279	166	4	nonlinear	nonlinear	ADJ
cana-279	166	5	analysis	analysis	NOUN
cana-279	166	6	issn	issn	NOUN
cana-279	166	7	:	:	PUNCT
cana-279	166	8	1074	1074	NUM
cana-279	166	9	-	-	PUNCT
cana-279	166	10	133x	133x	NUM
cana-279	166	11	vol	vol	NOUN
cana-279	166	12	30	30	NUM
cana-279	166	13	no	no	NOUN
cana-279	166	14	.	.	NOUN
cana-279	166	15	4	4	NUM
cana-279	166	16	(	(	PUNCT
cana-279	166	17	2023	2023	NUM
cana-279	166	18	)	)	PUNCT
cana-279	166	19	9	9	NUM
cana-279	166	20	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-279	166	21	∇2𝑅(𝜃	∇2𝑅(𝜃	PROPN
cana-279	166	22	)	)	PUNCT
cana-279	166	23	=	=	SYM
cana-279	167	1	2∑	2∑	NUM
cana-279	168	1	[	[	X
cana-279	168	2	〈	〈	NOUN
cana-279	168	3	𝛹𝑗(𝜃)|𝐼|𝛹𝑗(𝜃	𝛹𝑗(𝜃)|𝐼|𝛹𝑗(𝜃	ADJ
cana-279	168	4	)	)	PUNCT
cana-279	168	5	〉	〉	NOUN
cana-279	168	6	−	−	PUNCT
cana-279	168	7	𝐹𝑗	𝐹𝑗	PROPN
cana-279	168	8	]	]	X
cana-279	168	9	𝑂	𝑂	PROPN
cana-279	168	10	𝑗=1	𝑗=1	PROPN
cana-279	168	11	∇2(𝛹𝑗(𝜃)|𝐼|𝛹𝑗(𝜃	∇2(𝛹𝑗(𝜃)|𝐼|𝛹𝑗(𝜃	PROPN
cana-279	168	12	)	)	PUNCT
cana-279	168	13	)	)	PUNCT
cana-279	168	14	(	(	PUNCT
cana-279	168	15	6	6	NUM
cana-279	168	16	)	)	PUNCT
cana-279	168	17	within	within	ADP
cana-279	168	18	the	the	DET
cana-279	168	19	framework	framework	NOUN
cana-279	168	20	of	of	ADP
cana-279	168	21	the	the	DET
cana-279	168	22	hqg	hqg	PROPN
cana-279	168	23	-	-	PUNCT
cana-279	168	24	ca	ca	NOUN
cana-279	168	25	optimisation	optimisation	NOUN
cana-279	168	26	technique	technique	NOUN
cana-279	168	27	,	,	PUNCT
cana-279	168	28	the	the	DET
cana-279	168	29	quantum	quantum	NOUN
cana-279	168	30	gradient	gradient	NOUN
cana-279	168	31	using	use	VERB
cana-279	168	32	higherorder	higherorder	NOUN
cana-279	168	33	derivatives	derivative	NOUN
cana-279	168	34	is	be	AUX
cana-279	168	35	defined	define	VERB
cana-279	168	36	in	in	ADP
cana-279	168	37	equation	equation	NOUN
cana-279	168	38	(	(	PUNCT
cana-279	168	39	6	6	NUM
cana-279	168	40	)	)	PUNCT
cana-279	168	41	.	.	PUNCT
cana-279	169	1	with	with	ADP
cana-279	169	2	regard	regard	NOUN
cana-279	169	3	to	to	ADP
cana-279	169	4	the	the	DET
cana-279	169	5	parameters	parameter	NOUN
cana-279	169	6	𝜃	𝜃	NOUN
cana-279	169	7	,	,	PUNCT
cana-279	169	8	the	the	DET
cana-279	169	9	equation	equation	NOUN
cana-279	169	10	captures	capture	VERB
cana-279	169	11	the	the	DET
cana-279	169	12	second	second	ADJ
cana-279	169	13	derivatives	derivative	NOUN
cana-279	169	14	(	(	PUNCT
cana-279	169	15	∇2	∇2	PROPN
cana-279	169	16	)	)	PUNCT
cana-279	169	17	of	of	ADP
cana-279	169	18	the	the	DET
cana-279	169	19	quantum	quantum	ADJ
cana-279	169	20	form	form	NOUN
cana-279	169	21	cost	cost	NOUN
cana-279	169	22	function	function	NOUN
cana-279	169	23	𝑅(𝜃	𝑅(𝜃	NOUN
cana-279	169	24	)	)	PUNCT
cana-279	169	25	.	.	PUNCT
cana-279	170	1	𝑂	𝑂	PROPN
cana-279	170	2	is	be	AUX
cana-279	170	3	the	the	DET
cana-279	170	4	total	total	ADJ
cana-279	170	5	amount	amount	NOUN
cana-279	170	6	of	of	ADP
cana-279	170	7	quantum	quantum	ADJ
cana-279	170	8	states	state	NOUN
cana-279	170	9	,	,	PUNCT
cana-279	170	10	where	where	SCONJ
cana-279	170	11	𝛹𝑗(𝜃	𝛹𝑗(𝜃	NOUN
cana-279	170	12	)	)	PUNCT
cana-279	170	13	is	be	AUX
cana-279	170	14	the	the	DET
cana-279	170	15	set	set	NOUN
cana-279	170	16	of	of	ADP
cana-279	170	17	quantum	quantum	ADJ
cana-279	170	18	states	state	NOUN
cana-279	170	19	defined	define	VERB
cana-279	170	20	by	by	ADP
cana-279	170	21	𝜃	𝜃	PROPN
cana-279	170	22	,	,	PUNCT
cana-279	170	23	and	and	CCONJ
cana-279	170	24	𝐼	𝐼	PROPN
cana-279	170	25	is	be	AUX
cana-279	170	26	for	for	ADP
cana-279	170	27	the	the	DET
cana-279	170	28	hamiltonian	hamiltonian	ADJ
cana-279	170	29	operator	operator	NOUN
cana-279	170	30	in	in	ADP
cana-279	170	31	the	the	DET
cana-279	170	32	equation	equation	NOUN
cana-279	170	33	(	(	PUNCT
cana-279	170	34	6	6	NUM
cana-279	170	35	)	)	PUNCT
cana-279	170	36	.	.	PUNCT
cana-279	171	1	the	the	DET
cana-279	171	2	equation	equation	NOUN
cana-279	171	3	is	be	AUX
cana-279	171	4	a	a	DET
cana-279	171	5	summation	summation	NOUN
cana-279	171	6	across	across	ADP
cana-279	171	7	all	all	DET
cana-279	171	8	quantum	quantum	ADJ
cana-279	171	9	states	state	NOUN
cana-279	171	10	of	of	ADP
cana-279	171	11	the	the	DET
cana-279	171	12	difference	difference	NOUN
cana-279	171	13	between	between	ADP
cana-279	171	14	their	their	PRON
cana-279	171	15	predicted	predict	VERB
cana-279	171	16	energies	energy	NOUN
cana-279	171	17	and	and	CCONJ
cana-279	171	18	their	their	PRON
cana-279	171	19	associated	associated	ADJ
cana-279	171	20	energy	energy	NOUN
cana-279	171	21	eigenvalues	eigenvalue	NOUN
cana-279	171	22	.	.	PUNCT
cana-279	171	23	adding	add	VERB
cana-279	171	24	second	second	ADJ
cana-279	171	25	-	-	PUNCT
cana-279	171	26	order	order	NOUN
cana-279	171	27	derivatives	derivative	NOUN
cana-279	171	28	complicates	complicate	VERB
cana-279	171	29	matters	matter	NOUN
cana-279	171	30	by	by	ADP
cana-279	171	31	revealing	reveal	VERB
cana-279	171	32	the	the	DET
cana-279	171	33	optimization	optimization	NOUN
cana-279	171	34	landscape	landscape	NOUN
cana-279	171	35	's	's	PART
cana-279	171	36	curvature	curvature	NOUN
cana-279	171	37	.	.	PUNCT
cana-279	172	1	this	this	DET
cana-279	172	2	complex	complex	ADJ
cana-279	172	3	quantum	quantum	NOUN
cana-279	172	4	gradient	gradient	NOUN
cana-279	172	5	computation	computation	NOUN
cana-279	172	6	allows	allow	VERB
cana-279	172	7	for	for	ADP
cana-279	172	8	a	a	DET
cana-279	172	9	more	more	ADV
cana-279	172	10	thorough	thorough	ADJ
cana-279	172	11	investigation	investigation	NOUN
cana-279	172	12	of	of	ADP
cana-279	172	13	the	the	DET
cana-279	172	14	quantum	quantum	ADJ
cana-279	172	15	states	state	NOUN
cana-279	172	16	throughout	throughout	ADP
cana-279	172	17	optimization	optimization	NOUN
cana-279	172	18	,	,	PUNCT
cana-279	172	19	which	which	PRON
cana-279	172	20	adds	add	VERB
cana-279	172	21	to	to	ADP
cana-279	172	22	the	the	DET
cana-279	172	23	understanding	understanding	NOUN
cana-279	172	24	of	of	ADP
cana-279	172	25	the	the	DET
cana-279	172	26	hqg	hqg	PROPN
cana-279	172	27	-	-	PUNCT
cana-279	172	28	ca	ca	PROPN
cana-279	172	29	algorithm	algorithm	NOUN
cana-279	172	30	's	's	PART
cana-279	172	31	convergence	convergence	NOUN
cana-279	172	32	behaviour	behaviour	NOUN
cana-279	172	33	.	.	PUNCT
cana-279	173	1	figure	figure	VERB
cana-279	173	2	3	3	NUM
cana-279	173	3	:	:	PUNCT
cana-279	173	4	implementation	implementation	NOUN
cana-279	173	5	of	of	ADP
cana-279	173	6	hqg	hqg	PROPN
cana-279	173	7	-	-	PROPN
cana-279	173	8	ca	ca	NOUN
cana-279	173	9	in	in	ADP
cana-279	173	10	various	various	ADJ
cana-279	173	11	industries	industry	NOUN
cana-279	173	12	in	in	ADP
cana-279	173	13	the	the	DET
cana-279	173	14	real	real	ADJ
cana-279	173	15	world	world	NOUN
cana-279	173	16	at	at	ADP
cana-279	173	17	the	the	DET
cana-279	173	18	forefront	forefront	NOUN
cana-279	173	19	of	of	ADP
cana-279	173	20	innovation	innovation	NOUN
cana-279	173	21	is	be	AUX
cana-279	173	22	the	the	DET
cana-279	173	23	hybrid	hybrid	ADJ
cana-279	173	24	quantum	quantum	NOUN
cana-279	173	25	gradient	gradient	NOUN
cana-279	173	26	classical	classical	ADJ
cana-279	173	27	approach	approach	NOUN
cana-279	173	28	(	(	PUNCT
cana-279	173	29	hqg	hqg	PROPN
cana-279	173	30	-	-	PROPN
cana-279	173	31	ca	ca	PROPN
cana-279	173	32	)	)	PUNCT
cana-279	173	33	,	,	PUNCT
cana-279	173	34	a	a	DET
cana-279	173	35	robust	robust	ADJ
cana-279	173	36	and	and	CCONJ
cana-279	173	37	flexible	flexible	ADJ
cana-279	173	38	method	method	NOUN
cana-279	173	39	for	for	ADP
cana-279	173	40	solving	solve	VERB
cana-279	173	41	complicated	complicated	ADJ
cana-279	173	42	optimization	optimization	NOUN
cana-279	173	43	problems	problem	NOUN
cana-279	173	44	in	in	ADP
cana-279	173	45	a	a	DET
cana-279	173	46	wide	wide	ADJ
cana-279	173	47	range	range	NOUN
cana-279	173	48	of	of	ADP
cana-279	173	49	sectors	sector	NOUN
cana-279	173	50	.	.	PUNCT
cana-279	174	1	figure	figure	NOUN
cana-279	174	2	3	3	NUM
cana-279	174	3	gives	give	VERB
cana-279	174	4	a	a	DET
cana-279	174	5	thorough	thorough	ADJ
cana-279	174	6	outline	outline	NOUN
cana-279	174	7	of	of	ADP
cana-279	174	8	the	the	DET
cana-279	174	9	many	many	ADJ
cana-279	174	10	uses	use	NOUN
cana-279	174	11	of	of	ADP
cana-279	174	12	hqg	hqg	PROPN
cana-279	174	13	-	-	PROPN
cana-279	174	14	ca	ca	NOUN
cana-279	174	15	in	in	ADP
cana-279	174	16	the	the	DET
cana-279	174	17	finance	finance	NOUN
cana-279	174	18	,	,	PUNCT
cana-279	174	19	machine	machine	NOUN
cana-279	174	20	learning	learning	NOUN
cana-279	174	21	,	,	PUNCT
cana-279	174	22	&	&	CCONJ
cana-279	174	23	logistics	logistic	NOUN
cana-279	174	24	industries	industry	NOUN
cana-279	174	25	.	.	PUNCT
cana-279	175	1	there	there	PRON
cana-279	175	2	is	be	VERB
cana-279	175	3	much	much	ADJ
cana-279	175	4	promise	promise	NOUN
cana-279	175	5	that	that	SCONJ
cana-279	175	6	this	this	DET
cana-279	175	7	hybrid	hybrid	ADJ
cana-279	175	8	quantum	quantum	NOUN
cana-279	175	9	-	-	PUNCT
cana-279	175	10	classical	classical	ADJ
cana-279	175	11	method	method	NOUN
cana-279	175	12	will	will	AUX
cana-279	175	13	transform	transform	VERB
cana-279	175	14	optimization	optimization	NOUN
cana-279	175	15	procedures	procedure	NOUN
cana-279	175	16	and	and	CCONJ
cana-279	175	17	alter	alter	VERB
cana-279	175	18	the	the	DET
cana-279	175	19	environment	environment	NOUN
cana-279	175	20	of	of	ADP
cana-279	175	21	practical	practical	ADJ
cana-279	175	22	applications	application	NOUN
cana-279	175	23	.	.	PUNCT
cana-279	176	1	when	when	SCONJ
cana-279	176	2	it	it	PRON
cana-279	176	3	comes	come	VERB
cana-279	176	4	to	to	ADP
cana-279	176	5	optimizing	optimize	VERB
cana-279	176	6	portfolios	portfolio	NOUN
cana-279	176	7	,	,	PUNCT
cana-279	176	8	hqg	hqg	PROPN
cana-279	176	9	-	-	PUNCT
cana-279	176	10	ca	can	AUX
cana-279	176	11	truly	truly	ADV
cana-279	176	12	stands	stand	VERB
cana-279	176	13	out	out	ADP
cana-279	176	14	in	in	ADP
cana-279	176	15	the	the	DET
cana-279	176	16	finance	finance	NOUN
cana-279	176	17	industry	industry	NOUN
cana-279	176	18	.	.	PUNCT
cana-279	177	1	in	in	ADP
cana-279	177	2	order	order	NOUN
cana-279	177	3	to	to	PART
cana-279	177	4	optimize	optimize	VERB
cana-279	177	5	returns	return	NOUN
cana-279	177	6	while	while	SCONJ
cana-279	177	7	limiting	limit	VERB
cana-279	177	8	risks	risk	NOUN
cana-279	177	9	,	,	PUNCT
cana-279	177	10	financial	financial	ADJ
cana-279	177	11	firms	firm	NOUN
cana-279	177	12	are	be	AUX
cana-279	177	13	continuously	continuously	ADV
cana-279	177	14	faced	face	VERB
cana-279	177	15	with	with	ADP
cana-279	177	16	the	the	DET
cana-279	177	17	task	task	NOUN
cana-279	177	18	of	of	ADP
cana-279	177	19	effectively	effectively	ADV
cana-279	177	20	distributing	distribute	VERB
cana-279	177	21	resources	resource	NOUN
cana-279	177	22	within	within	ADP
cana-279	177	23	portfolios	portfolio	NOUN
cana-279	177	24	.	.	PUNCT
cana-279	178	1	by	by	ADP
cana-279	178	2	taking	take	VERB
cana-279	178	3	use	use	NOUN
cana-279	178	4	of	of	ADP
cana-279	178	5	hqg	hqg	PROPN
cana-279	178	6	-	-	PROPN
cana-279	178	7	inherent	inherent	ADJ
cana-279	178	8	ca	ca	NOUN
cana-279	178	9	's	's	PART
cana-279	178	10	parallelism	parallelism	NOUN
cana-279	178	11	in	in	ADP
cana-279	178	12	this	this	DET
cana-279	178	13	domain	domain	NOUN
cana-279	178	14	,	,	PUNCT
cana-279	178	15	optimization	optimization	NOUN
cana-279	178	16	may	may	AUX
cana-279	178	17	be	be	AUX
cana-279	178	18	done	do	VERB
cana-279	178	19	more	more	ADV
cana-279	178	20	quickly	quickly	ADV
cana-279	178	21	and	and	CCONJ
cana-279	178	22	with	with	ADP
cana-279	178	23	more	more	ADJ
cana-279	178	24	efficiency	efficiency	NOUN
cana-279	178	25	.	.	PUNCT
cana-279	179	1	with	with	ADP
cana-279	179	2	hqg	hqg	PROPN
cana-279	179	3	-	-	PUNCT
cana-279	179	4	ca	ca	NOUN
cana-279	179	5	's	's	PART
cana-279	179	6	quantum	quantum	ADJ
cana-279	179	7	capabilities	capability	NOUN
cana-279	179	8	,	,	PUNCT
cana-279	179	9	financial	financial	ADJ
cana-279	179	10	decision	decision	NOUN
cana-279	179	11	-	-	PUNCT
cana-279	179	12	makers	maker	NOUN
cana-279	179	13	may	may	AUX
cana-279	179	14	explore	explore	VERB
cana-279	179	15	large	large	ADJ
cana-279	179	16	solution	solution	NOUN
cana-279	179	17	spaces	space	NOUN
cana-279	179	18	and	and	CCONJ
cana-279	179	19	get	get	VERB
cana-279	179	20	helpful	helpful	ADJ
cana-279	179	21	information	information	NOUN
cana-279	179	22	for	for	ADP
cana-279	179	23	allocating	allocate	VERB
cana-279	179	24	resources	resource	NOUN
cana-279	179	25	optimally	optimally	ADV
cana-279	179	26	.	.	PUNCT
cana-279	180	1	when	when	SCONJ
cana-279	180	2	it	it	PRON
cana-279	180	3	comes	come	VERB
cana-279	180	4	to	to	ADP
cana-279	180	5	machine	machine	NOUN
cana-279	180	6	learning	learning	NOUN
cana-279	180	7	,	,	PUNCT
cana-279	180	8	hqg	hqg	PROPN
cana-279	180	9	-	-	PUNCT
cana-279	180	10	ca	can	AUX
cana-279	180	11	demonstrates	demonstrate	VERB
cana-279	180	12	its	its	PRON
cana-279	180	13	flexibility	flexibility	NOUN
cana-279	180	14	by	by	ADP
cana-279	180	15	handling	handle	VERB
cana-279	180	16	the	the	DET
cana-279	180	17	complexities	complexity	NOUN
cana-279	180	18	of	of	ADP
cana-279	180	19	changing	change	VERB
cana-279	180	20	model	model	NOUN
cana-279	180	21	parameters	parameter	NOUN
cana-279	180	22	.	.	PUNCT
cana-279	181	1	timely	timely	ADJ
cana-279	181	2	convergence	convergence	NOUN
cana-279	181	3	and	and	CCONJ
cana-279	181	4	precise	precise	ADJ
cana-279	181	5	optimization	optimization	NOUN
cana-279	181	6	are	be	AUX
cana-279	181	7	of	of	ADP
cana-279	181	8	the	the	DET
cana-279	181	9	utmost	utmost	ADJ
cana-279	181	10	importance	importance	NOUN
cana-279	181	11	in	in	ADP
cana-279	181	12	machine	machine	NOUN
cana-279	181	13	learning	learn	VERB
cana-279	181	14	employment	employment	NOUN
cana-279	181	15	.	.	PUNCT
cana-279	182	1	to	to	PART
cana-279	182	2	drastically	drastically	ADV
cana-279	182	3	shorten	shorten	VERB
cana-279	182	4	the	the	DET
cana-279	182	5	time	time	NOUN
cana-279	182	6	it	it	PRON
cana-279	182	7	takes	take	VERB
cana-279	182	8	to	to	PART
cana-279	182	9	modify	modify	VERB
cana-279	182	10	the	the	DET
cana-279	182	11	parameters	parameter	NOUN
cana-279	182	12	,	,	PUNCT
cana-279	182	13	hqg	hqg	PROPN
cana-279	182	14	-	-	PUNCT
cana-279	182	15	ca	can	AUX
cana-279	182	16	makes	make	VERB
cana-279	182	17	use	use	NOUN
cana-279	182	18	of	of	ADP
cana-279	182	19	its	its	PRON
cana-279	182	20	quantum	quantum	ADJ
cana-279	182	21	abilities	ability	NOUN
cana-279	182	22	to	to	PART
cana-279	182	23	search	search	VERB
cana-279	182	24	solution	solution	NOUN
cana-279	182	25	areas	area	NOUN
cana-279	182	26	in	in	ADP
cana-279	182	27	a	a	DET
cana-279	182	28	highly	highly	ADV
cana-279	182	29	distributed	distribute	VERB
cana-279	182	30	way	way	NOUN
cana-279	182	31	.	.	PUNCT
cana-279	183	1	this	this	PRON
cana-279	183	2	improves	improve	VERB
cana-279	183	3	the	the	DET
cana-279	183	4	performance	performance	NOUN
cana-279	183	5	of	of	ADP
cana-279	183	6	ml	ml	ADP
cana-279	183	7	algorithms	algorithm	NOUN
cana-279	183	8	and	and	CCONJ
cana-279	183	9	paves	pave	VERB
cana-279	183	10	the	the	DET
cana-279	183	11	way	way	NOUN
cana-279	183	12	for	for	SCONJ
cana-279	183	13	communications	communication	NOUN
cana-279	183	14	on	on	ADP
cana-279	183	15	applied	apply	VERB
cana-279	183	16	nonlinear	nonlinear	ADJ
cana-279	183	17	analysis	analysis	NOUN
cana-279	183	18	issn	issn	NOUN
cana-279	183	19	:	:	PUNCT
cana-279	183	20	1074	1074	NUM
cana-279	183	21	-	-	PUNCT
cana-279	183	22	133x	133x	NUM
cana-279	183	23	vol	vol	NOUN
cana-279	183	24	30	30	NUM
cana-279	183	25	no	no	NOUN
cana-279	183	26	.	.	NOUN
cana-279	183	27	4	4	NUM
cana-279	183	28	(	(	PUNCT
cana-279	183	29	2023	2023	NUM
cana-279	183	30	)	)	PUNCT
cana-279	184	1	10	10	NUM
cana-279	184	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-279	184	3	future	future	ADJ
cana-279	184	4	work	work	NOUN
cana-279	184	5	on	on	ADP
cana-279	184	6	solving	solve	VERB
cana-279	184	7	the	the	DET
cana-279	184	8	difficult	difficult	ADJ
cana-279	184	9	optimization	optimization	NOUN
cana-279	184	10	problems	problem	NOUN
cana-279	184	11	that	that	PRON
cana-279	184	12	arise	arise	VERB
cana-279	184	13	during	during	ADP
cana-279	184	14	model	model	NOUN
cana-279	184	15	training	training	NOUN
cana-279	184	16	and	and	CCONJ
cana-279	184	17	adaption	adaption	NOUN
cana-279	184	18	.	.	PUNCT
cana-279	185	1	the	the	DET
cana-279	185	2	exceptional	exceptional	ADJ
cana-279	185	3	route	route	NOUN
cana-279	185	4	optimization	optimization	NOUN
cana-279	185	5	capabilities	capability	NOUN
cana-279	185	6	of	of	ADP
cana-279	185	7	hqg	hqg	PROPN
cana-279	185	8	-	-	PUNCT
cana-279	185	9	ca	can	AUX
cana-279	185	10	are	be	AUX
cana-279	185	11	advantageous	advantageous	ADJ
cana-279	185	12	to	to	ADP
cana-279	185	13	the	the	DET
cana-279	185	14	logistics	logistic	NOUN
cana-279	185	15	industry	industry	NOUN
cana-279	185	16	.	.	PUNCT
cana-279	186	1	the	the	DET
cana-279	186	2	difficulty	difficulty	NOUN
cana-279	186	3	of	of	ADP
cana-279	186	4	determining	determine	VERB
cana-279	186	5	the	the	DET
cana-279	186	6	most	most	ADV
cana-279	186	7	efficient	efficient	ADJ
cana-279	186	8	routes	route	NOUN
cana-279	186	9	to	to	PART
cana-279	186	10	save	save	VERB
cana-279	186	11	expenses	expense	NOUN
cana-279	186	12	and	and	CCONJ
cana-279	186	13	maximize	maximize	VERB
cana-279	186	14	efficiency	efficiency	NOUN
cana-279	186	15	is	be	AUX
cana-279	186	16	one	one	NUM
cana-279	186	17	that	that	PRON
cana-279	186	18	logistics	logistic	NOUN
cana-279	186	19	organizations	organization	NOUN
cana-279	186	20	must	must	AUX
cana-279	186	21	constantly	constantly	ADV
cana-279	186	22	contend	contend	VERB
cana-279	186	23	with	with	ADP
cana-279	186	24	.	.	PUNCT
cana-279	187	1	companies	company	NOUN
cana-279	187	2	may	may	AUX
cana-279	187	3	improve	improve	VERB
cana-279	187	4	their	their	PRON
cana-279	187	5	logistics	logistic	NOUN
cana-279	187	6	and	and	CCONJ
cana-279	187	7	supply	supply	NOUN
cana-279	187	8	chain	chain	NOUN
cana-279	187	9	management	management	NOUN
cana-279	187	10	efficiency	efficiency	NOUN
cana-279	187	11	by	by	ADP
cana-279	187	12	implementing	implement	VERB
cana-279	187	13	hqg	hqg	PROPN
cana-279	187	14	-	-	PROPN
cana-279	187	15	ca	ca	PROPN
cana-279	187	16	.	.	PUNCT
cana-279	187	17	finding	find	VERB
cana-279	187	18	optimal	optimal	ADJ
cana-279	187	19	routes	route	NOUN
cana-279	187	20	,	,	PUNCT
cana-279	187	21	lowering	lower	VERB
cana-279	187	22	transportation	transportation	NOUN
cana-279	187	23	costs	cost	NOUN
cana-279	187	24	,	,	PUNCT
cana-279	187	25	and	and	CCONJ
cana-279	187	26	boosting	boost	VERB
cana-279	187	27	overall	overall	ADJ
cana-279	187	28	logistics	logistic	NOUN
cana-279	187	29	performance	performance	NOUN
cana-279	187	30	are	be	AUX
cana-279	187	31	all	all	PRON
cana-279	187	32	aided	aid	VERB
cana-279	187	33	by	by	ADP
cana-279	187	34	hqg	hqg	PROPN
cana-279	187	35	-	-	PUNCT
cana-279	187	36	ca	ca	PROPN
cana-279	187	37	's	's	PART
cana-279	187	38	capacity	capacity	NOUN
cana-279	187	39	to	to	PART
cana-279	187	40	rapidly	rapidly	ADV
cana-279	187	41	explore	explore	VERB
cana-279	187	42	complicated	complicated	ADJ
cana-279	187	43	solution	solution	NOUN
cana-279	187	44	spaces	space	NOUN
cana-279	187	45	.	.	PUNCT
cana-279	188	1	an	an	DET
cana-279	188	2	essential	essential	ADJ
cana-279	188	3	part	part	NOUN
cana-279	188	4	of	of	ADP
cana-279	188	5	assessing	assess	VERB
cana-279	188	6	hqg	hqg	PROPN
cana-279	188	7	-	-	PUNCT
cana-279	188	8	performance	performance	NOUN
cana-279	188	9	ca	ca	NOUN
cana-279	188	10	's	's	PART
cana-279	188	11	in	in	ADP
cana-279	188	12	these	these	DET
cana-279	188	13	various	various	ADJ
cana-279	188	14	sectors	sector	NOUN
cana-279	188	15	is	be	AUX
cana-279	188	16	the	the	DET
cana-279	188	17	simulation	simulation	NOUN
cana-279	188	18	experiment	experiment	NOUN
cana-279	188	19	block	block	NOUN
cana-279	188	20	.	.	PUNCT
cana-279	189	1	important	important	ADJ
cana-279	189	2	performance	performance	NOUN
cana-279	189	3	metrics	metric	NOUN
cana-279	189	4	,	,	PUNCT
cana-279	189	5	such	such	ADJ
cana-279	189	6	as	as	ADP
cana-279	189	7	algorithmic	algorithmic	ADJ
cana-279	189	8	speedup	speedup	NOUN
cana-279	189	9	,	,	PUNCT
cana-279	189	10	solution	solution	NOUN
cana-279	189	11	correctness	correctness	NOUN
cana-279	189	12	,	,	PUNCT
cana-279	189	13	and	and	CCONJ
cana-279	189	14	scalability	scalability	NOUN
cana-279	189	15	,	,	PUNCT
cana-279	189	16	are	be	AUX
cana-279	189	17	evaluated	evaluate	VERB
cana-279	189	18	through	through	ADP
cana-279	189	19	extensive	extensive	ADJ
cana-279	189	20	testing	testing	NOUN
cana-279	189	21	.	.	PUNCT
cana-279	190	1	the	the	DET
cana-279	190	2	paper	paper	NOUN
cana-279	190	3	sheds	shed	VERB
cana-279	190	4	light	light	NOUN
cana-279	190	5	on	on	ADP
cana-279	190	6	the	the	DET
cana-279	190	7	usefulness	usefulness	NOUN
cana-279	190	8	and	and	CCONJ
cana-279	190	9	reliability	reliability	NOUN
cana-279	190	10	of	of	ADP
cana-279	190	11	hqgca	hqgca	NOUN
cana-279	190	12	in	in	ADP
cana-279	190	13	various	various	ADJ
cana-279	190	14	settings	setting	NOUN
cana-279	190	15	.	.	PUNCT
cana-279	191	1	a	a	DET
cana-279	191	2	comprehensive	comprehensive	ADJ
cana-279	191	3	evaluation	evaluation	NOUN
cana-279	191	4	of	of	ADP
cana-279	191	5	hqg	hqg	PROPN
cana-279	191	6	-	-	PUNCT
cana-279	191	7	ca	ca	PROPN
cana-279	191	8	's	's	PART
cana-279	191	9	ability	ability	NOUN
cana-279	191	10	to	to	PART
cana-279	191	11	solve	solve	VERB
cana-279	191	12	nonlinear	nonlinear	ADJ
cana-279	191	13	optimization	optimization	NOUN
cana-279	191	14	problems	problem	NOUN
cana-279	191	15	is	be	AUX
cana-279	191	16	provided	provide	VERB
cana-279	191	17	by	by	ADP
cana-279	191	18	the	the	DET
cana-279	191	19	comprehensive	comprehensive	ADJ
cana-279	191	20	evaluation	evaluation	NOUN
cana-279	191	21	block	block	NOUN
cana-279	191	22	,	,	PUNCT
cana-279	191	23	which	which	PRON
cana-279	191	24	gathers	gather	VERB
cana-279	191	25	and	and	CCONJ
cana-279	191	26	presents	present	VERB
cana-279	191	27	the	the	DET
cana-279	191	28	results	result	NOUN
cana-279	191	29	of	of	ADP
cana-279	191	30	the	the	DET
cana-279	191	31	simulation	simulation	NOUN
cana-279	191	32	tests	test	NOUN
cana-279	191	33	.	.	PUNCT
cana-279	192	1	each	each	DET
cana-279	192	2	industry	industry	NOUN
cana-279	192	3	's	's	PART
cana-279	192	4	distinct	distinct	ADJ
cana-279	192	5	requirements	requirement	NOUN
cana-279	192	6	and	and	CCONJ
cana-279	192	7	difficulties	difficulty	NOUN
cana-279	192	8	are	be	AUX
cana-279	192	9	considered	consider	VERB
cana-279	192	10	in	in	ADP
cana-279	192	11	this	this	DET
cana-279	192	12	analysis	analysis	NOUN
cana-279	192	13	.	.	PUNCT
cana-279	193	1	it	it	PRON
cana-279	193	2	is	be	AUX
cana-279	193	3	clear	clear	ADJ
cana-279	193	4	that	that	SCONJ
cana-279	193	5	hqg	hqg	PROPN
cana-279	193	6	-	-	PUNCT
cana-279	193	7	ca	ca	AUX
cana-279	193	8	can	can	AUX
cana-279	193	9	adapt	adapt	VERB
cana-279	193	10	and	and	CCONJ
cana-279	193	11	effectively	effectively	ADV
cana-279	193	12	solve	solve	VERB
cana-279	193	13	optimization	optimization	NOUN
cana-279	193	14	problems	problem	NOUN
cana-279	193	15	that	that	PRON
cana-279	193	16	are	be	AUX
cana-279	193	17	unique	unique	ADJ
cana-279	193	18	to	to	ADP
cana-279	193	19	different	different	ADJ
cana-279	193	20	industries	industry	NOUN
cana-279	193	21	,	,	PUNCT
cana-279	193	22	emphasizing	emphasize	VERB
cana-279	193	23	its	its	PRON
cana-279	193	24	revolutionary	revolutionary	ADJ
cana-279	193	25	significance	significance	NOUN
cana-279	193	26	in	in	ADP
cana-279	193	27	defining	define	VERB
cana-279	193	28	the	the	DET
cana-279	193	29	optimization	optimization	NOUN
cana-279	193	30	approaches	approach	NOUN
cana-279	193	31	of	of	ADP
cana-279	193	32	the	the	DET
cana-279	193	33	future	future	NOUN
cana-279	193	34	.	.	PUNCT
cana-279	194	1	figure	figure	NOUN
cana-279	194	2	3	3	NUM
cana-279	194	3	extends	extend	VERB
cana-279	194	4	the	the	DET
cana-279	194	5	illustrations	illustration	NOUN
cana-279	194	6	by	by	ADP
cana-279	194	7	demonstrating	demonstrate	VERB
cana-279	194	8	the	the	DET
cana-279	194	9	numerous	numerous	ADJ
cana-279	194	10	uses	use	NOUN
cana-279	194	11	of	of	ADP
cana-279	194	12	hqg	hqg	PROPN
cana-279	194	13	-	-	PUNCT
cana-279	194	14	ca	can	AUX
cana-279	194	15	in	in	ADP
cana-279	194	16	finances	finance	NOUN
cana-279	194	17	,	,	PUNCT
cana-279	194	18	machine	machine	NOUN
cana-279	194	19	learning	learning	NOUN
cana-279	194	20	,	,	PUNCT
cana-279	194	21	as	as	ADV
cana-279	194	22	well	well	ADV
cana-279	194	23	as	as	ADP
cana-279	194	24	logistics	logistic	NOUN
cana-279	194	25	,	,	PUNCT
cana-279	194	26	and	and	CCONJ
cana-279	194	27	by	by	ADP
cana-279	194	28	emphasizing	emphasize	VERB
cana-279	194	29	its	its	PRON
cana-279	194	30	ability	ability	NOUN
cana-279	194	31	to	to	PART
cana-279	194	32	transform	transform	VERB
cana-279	194	33	nonlinear	nonlinear	ADJ
cana-279	194	34	optimization	optimization	NOUN
cana-279	194	35	procedures	procedure	NOUN
cana-279	194	36	in	in	ADP
cana-279	194	37	various	various	ADJ
cana-279	194	38	sectors	sector	NOUN
cana-279	194	39	.	.	PUNCT
cana-279	195	1	the	the	DET
cana-279	195	2	versatility	versatility	NOUN
cana-279	195	3	and	and	CCONJ
cana-279	195	4	efficiency	efficiency	NOUN
cana-279	195	5	of	of	ADP
cana-279	195	6	hqg	hqg	PROPN
cana-279	195	7	-	-	PUNCT
cana-279	195	8	ca	can	AUX
cana-279	195	9	in	in	ADP
cana-279	195	10	handling	handle	VERB
cana-279	195	11	specific	specific	ADJ
cana-279	195	12	optimization	optimization	NOUN
cana-279	195	13	problems	problem	NOUN
cana-279	195	14	underline	underline	VERB
cana-279	195	15	its	its	PRON
cana-279	195	16	revolutionary	revolutionary	ADJ
cana-279	195	17	significance	significance	NOUN
cana-279	195	18	in	in	ADP
cana-279	195	19	defining	define	VERB
cana-279	195	20	the	the	DET
cana-279	195	21	trajectory	trajectory	NOUN
cana-279	195	22	of	of	ADP
cana-279	195	23	optimization	optimization	NOUN
cana-279	195	24	approaches	approach	NOUN
cana-279	195	25	as	as	SCONJ
cana-279	195	26	it	it	PRON
cana-279	195	27	keeps	keep	VERB
cana-279	195	28	finding	find	VERB
cana-279	195	29	its	its	PRON
cana-279	195	30	way	way	NOUN
cana-279	195	31	into	into	ADP
cana-279	195	32	more	more	ADJ
cana-279	195	33	and	and	CCONJ
cana-279	195	34	more	more	ADJ
cana-279	195	35	industries	industry	NOUN
cana-279	195	36	.	.	PUNCT
cana-279	196	1	this	this	DET
cana-279	196	2	all	all	ADV
cana-279	196	3	-	-	PUNCT
cana-279	196	4	encompassing	encompass	VERB
cana-279	196	5	perspective	perspective	NOUN
cana-279	196	6	establishes	establish	VERB
cana-279	196	7	hqg	hqg	PROPN
cana-279	196	8	-	-	PUNCT
cana-279	196	9	ca	can	AUX
cana-279	196	10	as	as	ADP
cana-279	196	11	a	a	DET
cana-279	196	12	formidable	formidable	ADJ
cana-279	196	13	instrument	instrument	NOUN
cana-279	196	14	that	that	PRON
cana-279	196	15	can	can	AUX
cana-279	196	16	propel	propel	VERB
cana-279	196	17	substantial	substantial	ADJ
cana-279	196	18	progress	progress	NOUN
cana-279	196	19	in	in	ADP
cana-279	196	20	its	its	PRON
cana-279	196	21	approach	approach	NOUN
cana-279	196	22	for	for	ADP
cana-279	196	23	addressing	address	VERB
cana-279	196	24	multi	multi	ADJ
cana-279	196	25	-	-	ADJ
cana-279	196	26	domain	domain	ADJ
cana-279	196	27	optimization	optimization	NOUN
cana-279	196	28	challenges	challenge	NOUN
cana-279	196	29	.	.	PUNCT
cana-279	197	1	𝑀𝑎𝑥𝑖𝑚𝑖𝑧𝑒⁡𝐹(𝑆	𝑀𝑎𝑥𝑖𝑚𝑖𝑧𝑒⁡𝐹(𝑆	NOUN
cana-279	197	2	)	)	PUNCT
cana-279	198	1	−	−	NOUN
cana-279	198	2	𝜇	𝜇	ADP
cana-279	198	3	×	×	NOUN
cana-279	198	4	𝑉𝑎𝑟[𝑆	𝑉𝑎𝑟[𝑆	NOUN
cana-279	198	5	]	]	PUNCT
cana-279	199	1	+	+	CCONJ
cana-279	199	2	𝛾	𝛾	PRON
cana-279	199	3	×	×	NOUN
cana-279	199	4	𝐷𝑒𝑡[𝐷	𝐷𝑒𝑡[𝐷	PROPN
cana-279	199	5	]	]	PUNCT
cana-279	200	1	+	+	NUM
cana-279	200	2	𝛼	𝛼	X
cana-279	200	3	+	+	ADJ
cana-279	200	4	𝑇𝑟[𝐷	𝑇𝑟[𝐷	NOUN
cana-279	200	5	]	]	X
cana-279	200	6	(	(	PUNCT
cana-279	200	7	7	7	X
cana-279	200	8	)	)	PUNCT
cana-279	200	9	quantum	quantum	NOUN
cana-279	200	10	-	-	PUNCT
cana-279	200	11	inspired	inspire	VERB
cana-279	200	12	portfolio	portfolio	NOUN
cana-279	200	13	optimisation	optimisation	NOUN
cana-279	200	14	with	with	ADP
cana-279	200	15	multiple	multiple	ADJ
cana-279	200	16	objectives	objective	NOUN
cana-279	200	17	terms	term	NOUN
cana-279	200	18	is	be	AUX
cana-279	200	19	defined	define	VERB
cana-279	200	20	in	in	ADP
cana-279	200	21	equation	equation	NOUN
cana-279	200	22	(	(	PUNCT
cana-279	200	23	7	7	X
cana-279	200	24	)	)	PUNCT
cana-279	200	25	using	use	VERB
cana-279	200	26	an	an	DET
cana-279	200	27	objective	objective	ADJ
cana-279	200	28	function	function	NOUN
cana-279	200	29	.	.	PUNCT
cana-279	201	1	earning	earn	VERB
cana-279	201	2	the	the	DET
cana-279	201	3	highest	high	ADJ
cana-279	201	4	possible	possible	ADJ
cana-279	201	5	expected	expect	VERB
cana-279	201	6	return	return	NOUN
cana-279	201	7	𝐹(𝑆)⁡on	𝐹(𝑆)⁡on	NOUN
cana-279	201	8	a	a	DET
cana-279	201	9	portfolio	portfolio	NOUN
cana-279	201	10	is	be	AUX
cana-279	201	11	the	the	DET
cana-279	201	12	ultimate	ultimate	ADJ
cana-279	201	13	objective	objective	NOUN
cana-279	201	14	.	.	PUNCT
cana-279	202	1	the	the	DET
cana-279	202	2	𝑉𝑎𝑟[𝑆	𝑉𝑎𝑟[𝑆	NOUN
cana-279	202	3	]	]	PUNCT
cana-279	202	4	,	,	PUNCT
cana-279	202	5	wherein	wherein	SCONJ
cana-279	202	6	𝜇	𝜇	ADV
cana-279	202	7	is	be	AUX
cana-279	202	8	the	the	DET
cana-279	202	9	value	value	NOUN
cana-279	202	10	of	of	ADP
cana-279	202	11	a	a	DET
cana-279	202	12	parameter	parameter	NOUN
cana-279	202	13	that	that	PRON
cana-279	202	14	controls	control	VERB
cana-279	202	15	the	the	DET
cana-279	202	16	investor	investor	NOUN
cana-279	202	17	's	's	PART
cana-279	202	18	risk	risk	NOUN
cana-279	202	19	aversion	aversion	NOUN
cana-279	202	20	,	,	PUNCT
cana-279	202	21	incorporates	incorporate	VERB
cana-279	202	22	the	the	DET
cana-279	202	23	trade	trade	NOUN
cana-279	202	24	-	-	PUNCT
cana-279	202	25	off	off	NOUN
cana-279	202	26	among	among	ADP
cana-279	202	27	return	return	NOUN
cana-279	202	28	and	and	CCONJ
cana-279	202	29	risk	risk	NOUN
cana-279	202	30	.	.	PUNCT
cana-279	203	1	the	the	DET
cana-279	203	2	optimization	optimization	NOUN
cana-279	203	3	becomes	become	VERB
cana-279	203	4	much	much	ADV
cana-279	203	5	more	more	ADV
cana-279	203	6	complicated	complicated	ADJ
cana-279	203	7	due	due	ADP
cana-279	203	8	to	to	ADP
cana-279	203	9	the	the	DET
cana-279	203	10	quantum	quantum	NOUN
cana-279	203	11	-	-	PUNCT
cana-279	203	12	inspired	inspire	VERB
cana-279	203	13	terms	term	NOUN
cana-279	203	14	.	.	PUNCT
cana-279	204	1	incorporating	incorporate	VERB
cana-279	204	2	the	the	DET
cana-279	204	3	determinant	determinant	ADJ
cana-279	204	4	,	,	PUNCT
cana-279	204	5	𝐷𝑒𝑡[𝐷	𝐷𝑒𝑡[𝐷	PROPN
cana-279	204	6	]	]	PUNCT
cana-279	204	7	,	,	PUNCT
cana-279	204	8	&	&	CCONJ
cana-279	204	9	trace	trace	NOUN
cana-279	204	10	,	,	PUNCT
cana-279	204	11	𝑇𝑟[𝐷	𝑇𝑟[𝐷	PROPN
cana-279	204	12	]	]	PUNCT
cana-279	204	13	,	,	PUNCT
cana-279	204	14	of	of	ADP
cana-279	204	15	the	the	DET
cana-279	204	16	matrix	matrix	NOUN
cana-279	204	17	of	of	ADP
cana-279	204	18	covariance	covariance	PROPN
cana-279	204	19	𝐷	𝐷	PROPN
cana-279	204	20	,	,	PUNCT
cana-279	204	21	these	these	PRON
cana-279	204	22	indicate	indicate	VERB
cana-279	204	23	portfolio	portfolio	NOUN
cana-279	204	24	coherence	coherence	NOUN
cana-279	204	25	and	and	CCONJ
cana-279	204	26	correlation	correlation	NOUN
cana-279	204	27	metrics	metric	NOUN
cana-279	204	28	inspired	inspire	VERB
cana-279	204	29	by	by	ADP
cana-279	204	30	quantum	quantum	ADJ
cana-279	204	31	theory	theory	NOUN
cana-279	204	32	.	.	PUNCT
cana-279	205	1	the	the	DET
cana-279	205	2	significance	significance	NOUN
cana-279	205	3	of	of	ADP
cana-279	205	4	the	the	DET
cana-279	205	5	determinant	determinant	ADJ
cana-279	205	6	component	component	NOUN
cana-279	205	7	is	be	AUX
cana-279	205	8	scaled	scale	VERB
cana-279	205	9	by	by	ADP
cana-279	205	10	the	the	DET
cana-279	205	11	coefficient	coefficient	NOUN
cana-279	205	12	𝛾	𝛾	ADP
cana-279	205	13	,	,	PUNCT
cana-279	205	14	and	and	CCONJ
cana-279	205	15	the	the	DET
cana-279	205	16	trace	trace	NOUN
cana-279	205	17	term	term	NOUN
cana-279	205	18	is	be	AUX
cana-279	205	19	similarly	similarly	ADV
cana-279	205	20	scaled	scale	VERB
cana-279	205	21	by	by	ADP
cana-279	205	22	𝛼.	𝛼.	PROPN
cana-279	205	23	the	the	DET
cana-279	205	24	hqg	hqg	PROPN
cana-279	205	25	-	-	PUNCT
cana-279	205	26	ca	ca	NOUN
cana-279	205	27	method	method	NOUN
cana-279	205	28	's	's	PART
cana-279	205	29	flexibility	flexibility	NOUN
cana-279	205	30	in	in	ADP
cana-279	205	31	handling	handle	VERB
cana-279	205	32	multi	multi	ADJ
cana-279	205	33	-	-	ADJ
cana-279	205	34	objective	objective	ADJ
cana-279	205	35	optimization	optimization	NOUN
cana-279	205	36	problems	problem	NOUN
cana-279	205	37	is	be	AUX
cana-279	205	38	demonstrated	demonstrate	VERB
cana-279	205	39	by	by	ADP
cana-279	205	40	these	these	DET
cana-279	205	41	terms	term	NOUN
cana-279	205	42	,	,	PUNCT
cana-279	205	43	which	which	PRON
cana-279	205	44	inform	inform	VERB
cana-279	205	45	the	the	DET
cana-279	205	46	algorithm	algorithm	NOUN
cana-279	205	47	address	address	NOUN
cana-279	205	48	real	real	ADJ
cana-279	205	49	-	-	PUNCT
cana-279	205	50	world	world	NOUN
cana-279	205	51	financial	financial	ADJ
cana-279	205	52	problems	problem	NOUN
cana-279	205	53	by	by	ADP
cana-279	205	54	taking	take	VERB
cana-279	205	55	into	into	ADP
cana-279	205	56	account	account	NOUN
cana-279	205	57	both	both	DET
cana-279	205	58	conventional	conventional	ADJ
cana-279	205	59	risk	risk	NOUN
cana-279	205	60	and	and	CCONJ
cana-279	205	61	return	return	VERB
cana-279	205	62	metrics	metric	NOUN
cana-279	205	63	and	and	CCONJ
cana-279	205	64	quantum	quantum	NOUN
cana-279	205	65	-	-	PUNCT
cana-279	205	66	inspired	inspire	VERB
cana-279	205	67	ones	one	NOUN
cana-279	205	68	.	.	PUNCT
cana-279	206	1	𝑚𝑖𝑛𝑖𝑚𝑖𝑧𝑒⁡𝑍(𝜃	𝑚𝑖𝑛𝑖𝑚𝑖𝑧𝑒⁡𝑍(𝜃	ADJ
cana-279	206	2	)	)	PUNCT
cana-279	207	1	=	=	PUNCT
cana-279	207	2	〈	〈	NOUN
cana-279	207	3	𝛹𝑗(𝜃)|𝐼|𝛹𝑗(𝜃	𝛹𝑗(𝜃)|𝐼|𝛹𝑗(𝜃	ADJ
cana-279	207	4	)	)	PUNCT
cana-279	207	5	〉	〉	NOUN
cana-279	207	6	+	+	CCONJ
cana-279	207	7	𝜇(ℎ(𝜃	𝜇(ℎ(𝜃	NOUN
cana-279	207	8	)	)	PUNCT
cana-279	207	9	−	−	NOUN
cana-279	207	10	𝑑)2	𝑑)2	PROPN
cana-279	207	11	(	(	PUNCT
cana-279	207	12	8)	8)	NUM
cana-279	207	13	lagrangian	lagrangian	NOUN
cana-279	207	14	are	be	AUX
cana-279	207	15	functions	function	NOUN
cana-279	207	16	used	use	VERB
cana-279	207	17	in	in	ADP
cana-279	207	18	restricted	restrict	VERB
cana-279	207	19	optimization	optimization	NOUN
cana-279	207	20	problems	problem	NOUN
cana-279	207	21	and	and	CCONJ
cana-279	207	22	in	in	ADP
cana-279	207	23	the	the	DET
cana-279	207	24	equation	equation	NOUN
cana-279	207	25	(	(	PUNCT
cana-279	207	26	8)	8)	NUM
cana-279	207	27	𝑍(𝜃	𝑍(𝜃	NOUN
cana-279	207	28	)	)	PUNCT
cana-279	207	29	stands	stand	VERB
cana-279	207	30	for	for	ADP
cana-279	207	31	them	they	PRON
cana-279	207	32	.	.	PUNCT
cana-279	208	1	the	the	DET
cana-279	208	2	collection	collection	NOUN
cana-279	208	3	of	of	ADP
cana-279	208	4	variables	variable	NOUN
cana-279	208	5	related	relate	VERB
cana-279	208	6	to	to	ADP
cana-279	208	7	a	a	DET
cana-279	208	8	quantum	quantum	ADJ
cana-279	208	9	state	state	NOUN
cana-279	208	10	that	that	PRON
cana-279	208	11	is	be	AUX
cana-279	208	12	represented	represent	VERB
cana-279	208	13	by	by	ADP
cana-279	208	14	a	a	DET
cana-279	208	15	parametric	parametric	ADJ
cana-279	208	16	circuit	circuit	NOUN
cana-279	208	17	is	be	AUX
cana-279	208	18	symbolized	symbolize	VERB
cana-279	208	19	by	by	ADP
cana-279	208	20	𝜃.	𝜃.	NOUN
cana-279	208	21	this	this	DET
cana-279	208	22	optimization	optimization	NOUN
cana-279	208	23	issue	issue	NOUN
cana-279	208	24	or	or	CCONJ
cana-279	208	25	the	the	DET
cana-279	208	26	quantum	quantum	ADJ
cana-279	208	27	system	system	NOUN
cana-279	208	28	's	's	PART
cana-279	208	29	dynamics	dynamic	NOUN
cana-279	208	30	is	be	AUX
cana-279	208	31	communications	communication	NOUN
cana-279	208	32	on	on	ADP
cana-279	208	33	applied	apply	VERB
cana-279	208	34	nonlinear	nonlinear	ADJ
cana-279	208	35	analysis	analysis	NOUN
cana-279	208	36	issn	issn	NOUN
cana-279	208	37	:	:	PUNCT
cana-279	208	38	1074	1074	NUM
cana-279	208	39	-	-	PUNCT
cana-279	208	40	133x	133x	NUM
cana-279	208	41	vol	vol	NOUN
cana-279	208	42	30	30	NUM
cana-279	208	43	no	no	NOUN
cana-279	208	44	.	.	NOUN
cana-279	208	45	4	4	NUM
cana-279	208	46	(	(	PUNCT
cana-279	208	47	2023	2023	NUM
cana-279	208	48	)	)	PUNCT
cana-279	208	49	11	11	NUM
cana-279	208	50	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-279	208	51	encoded	encode	VERB
cana-279	208	52	by	by	ADP
cana-279	208	53	the	the	DET
cana-279	208	54	hamiltonian	hamiltonian	ADJ
cana-279	208	55	operator	operator	NOUN
cana-279	208	56	𝐼	𝐼	PROPN
cana-279	208	57	,	,	PUNCT
cana-279	208	58	which	which	PRON
cana-279	208	59	is	be	AUX
cana-279	208	60	involved	involve	VERB
cana-279	208	61	in	in	ADP
cana-279	208	62	〈	〈	NOUN
cana-279	208	63	𝛹𝑗(𝜃)|𝐼|𝛹𝑗(𝜃	𝛹𝑗(𝜃)|𝐼|𝛹𝑗(𝜃	ADJ
cana-279	208	64	)	)	PUNCT
cana-279	208	65	〉	〉	NOUN
cana-279	208	66	.	.	PUNCT
cana-279	209	1	to	to	PART
cana-279	209	2	enforce	enforce	VERB
cana-279	209	3	a	a	DET
cana-279	209	4	nonlinear	nonlinear	ADJ
cana-279	209	5	constraint	constraint	NOUN
cana-279	209	6	,	,	PUNCT
cana-279	209	7	the	the	DET
cana-279	209	8	lagrange	lagrange	NOUN
cana-279	209	9	multiplier	multiplier	ADV
cana-279	209	10	𝜇	𝜇	ADV
cana-279	209	11	is	be	AUX
cana-279	209	12	used	use	VERB
cana-279	209	13	in	in	ADP
cana-279	209	14	the	the	DET
cana-279	209	15	equation	equation	NOUN
cana-279	209	16	𝜇(ℎ(𝜃	𝜇(ℎ(𝜃	NOUN
cana-279	209	17	)	)	PUNCT
cana-279	209	18	−	−	PROPN
cana-279	209	19	𝑑)2⁡where	𝑑)2⁡where	NUM
cana-279	209	20	ℎ(𝜃	ℎ(𝜃	PROPN
cana-279	209	21	)	)	PUNCT
cana-279	209	22	is	be	AUX
cana-279	209	23	a	a	DET
cana-279	209	24	non	non	ADJ
cana-279	209	25	-	-	ADJ
cana-279	209	26	linear	linear	ADJ
cana-279	209	27	restriction	restriction	NOUN
cana-279	209	28	function	function	NOUN
cana-279	209	29	that	that	PRON
cana-279	209	30	evaluates	evaluate	VERB
cana-279	209	31	the	the	DET
cana-279	209	32	quantum	quantum	ADJ
cana-279	209	33	state	state	NOUN
cana-279	209	34	parameters	parameter	NOUN
cana-279	209	35	and	and	CCONJ
cana-279	209	36	𝑑	𝑑	NOUN
cana-279	209	37	is	be	AUX
cana-279	209	38	the	the	DET
cana-279	209	39	desired	desire	VERB
cana-279	209	40	value	value	NOUN
cana-279	209	41	of	of	ADP
cana-279	209	42	the	the	DET
cana-279	209	43	constraint	constraint	NOUN
cana-279	209	44	.	.	PUNCT
cana-279	210	1	to	to	PART
cana-279	210	2	make	make	VERB
cana-279	210	3	sure	sure	ADJ
cana-279	210	4	the	the	DET
cana-279	210	5	non	non	ADJ
cana-279	210	6	-	-	ADJ
cana-279	210	7	linear	linear	ADJ
cana-279	210	8	constraint	constraint	NOUN
cana-279	210	9	is	be	AUX
cana-279	210	10	satisfied	satisfied	ADJ
cana-279	210	11	during	during	ADP
cana-279	210	12	optimization	optimization	NOUN
cana-279	210	13	;	;	PUNCT
cana-279	210	14	this	this	DET
cana-279	210	15	penalty	penalty	NOUN
cana-279	210	16	term	term	NOUN
cana-279	210	17	is	be	AUX
cana-279	210	18	included	include	VERB
cana-279	210	19	in	in	ADP
cana-279	210	20	the	the	DET
cana-279	210	21	lagrangian	lagrangian	NOUN
cana-279	210	22	.	.	PUNCT
cana-279	211	1	as	as	ADP
cana-279	211	2	a	a	DET
cana-279	211	3	result	result	NOUN
cana-279	211	4	,	,	PUNCT
cana-279	211	5	fulfilling	fulfil	VERB
cana-279	211	6	the	the	DET
cana-279	211	7	non	non	ADJ
cana-279	211	8	-	-	ADJ
cana-279	211	9	linear	linear	ADJ
cana-279	211	10	constraint	constraint	NOUN
cana-279	211	11	and	and	CCONJ
cana-279	211	12	maximizing	maximize	VERB
cana-279	211	13	the	the	DET
cana-279	211	14	objective	objective	ADJ
cana-279	211	15	function	function	NOUN
cana-279	211	16	are	be	AUX
cana-279	211	17	both	both	PRON
cana-279	211	18	part	part	NOUN
cana-279	211	19	of	of	ADP
cana-279	211	20	the	the	DET
cana-279	211	21	minimization	minimization	NOUN
cana-279	211	22	process	process	NOUN
cana-279	211	23	.	.	PUNCT
cana-279	212	1	this	this	PRON
cana-279	212	2	shows	show	VERB
cana-279	212	3	how	how	SCONJ
cana-279	212	4	the	the	DET
cana-279	212	5	hqg	hqg	PROPN
cana-279	212	6	-	-	PUNCT
cana-279	212	7	ca	ca	NOUN
cana-279	212	8	method	method	NOUN
cana-279	212	9	approaches	approach	VERB
cana-279	212	10	optimization	optimization	NOUN
cana-279	212	11	with	with	ADP
cana-279	212	12	real	real	ADJ
cana-279	212	13	-	-	PUNCT
cana-279	212	14	world	world	NOUN
cana-279	212	15	constraints	constraint	NOUN
cana-279	212	16	,	,	PUNCT
cana-279	212	17	which	which	PRON
cana-279	212	18	is	be	AUX
cana-279	212	19	advanced	advanced	ADJ
cana-279	212	20	and	and	CCONJ
cana-279	212	21	thorough	thorough	ADJ
cana-279	212	22	.	.	PUNCT
cana-279	213	1	an	an	DET
cana-279	213	2	innovative	innovative	ADJ
cana-279	213	3	approach	approach	NOUN
cana-279	213	4	to	to	ADP
cana-279	213	5	solving	solve	VERB
cana-279	213	6	difficult	difficult	ADJ
cana-279	213	7	nonlinear	nonlinear	ADJ
cana-279	213	8	optimization	optimization	NOUN
cana-279	213	9	problems	problem	NOUN
cana-279	213	10	is	be	AUX
cana-279	213	11	presented	present	VERB
cana-279	213	12	,	,	PUNCT
cana-279	213	13	the	the	DET
cana-279	213	14	hybrid	hybrid	ADJ
cana-279	213	15	quantum	quantum	ADJ
cana-279	213	16	gradient	gradient	NOUN
cana-279	213	17	-	-	PUNCT
cana-279	213	18	classical	classical	ADJ
cana-279	213	19	approach	approach	NOUN
cana-279	213	20	,	,	PUNCT
cana-279	213	21	or	or	CCONJ
cana-279	213	22	hqg	hqg	PROPN
cana-279	213	23	-	-	PUNCT
cana-279	213	24	ca	ca	PROPN
cana-279	213	25	.	.	PUNCT
cana-279	214	1	this	this	DET
cana-279	214	2	method	method	NOUN
cana-279	214	3	addresses	address	VERB
cana-279	214	4	the	the	DET
cana-279	214	5	drawbacks	drawback	NOUN
cana-279	214	6	of	of	ADP
cana-279	214	7	classical	classical	ADJ
cana-279	214	8	methods	method	NOUN
cana-279	214	9	.	.	PUNCT
cana-279	215	1	the	the	DET
cana-279	215	2	hqg	hqg	PROPN
cana-279	215	3	-	-	PUNCT
cana-279	215	4	ca	ca	NOUN
cana-279	215	5	algorithm	algorithm	NOUN
cana-279	215	6	takes	take	VERB
cana-279	215	7	use	use	NOUN
cana-279	215	8	of	of	ADP
cana-279	215	9	quantum	quantum	NOUN
cana-279	215	10	parallelism	parallelism	NOUN
cana-279	215	11	by	by	ADP
cana-279	215	12	using	use	VERB
cana-279	215	13	parameterized	parameterized	ADJ
cana-279	215	14	quantum	quantum	ADJ
cana-279	215	15	circuits	circuit	NOUN
cana-279	215	16	to	to	PART
cana-279	215	17	simultaneously	simultaneously	ADV
cana-279	215	18	explore	explore	VERB
cana-279	215	19	many	many	ADJ
cana-279	215	20	solution	solution	NOUN
cana-279	215	21	spaces	space	NOUN
cana-279	215	22	.	.	PUNCT
cana-279	216	1	by	by	ADP
cana-279	216	2	combining	combine	VERB
cana-279	216	3	quantum	quantum	NOUN
cana-279	216	4	and	and	CCONJ
cana-279	216	5	classical	classical	ADJ
cana-279	216	6	methods	method	NOUN
cana-279	216	7	in	in	ADP
cana-279	216	8	a	a	DET
cana-279	216	9	novel	novel	ADJ
cana-279	216	10	way	way	NOUN
cana-279	216	11	,	,	PUNCT
cana-279	216	12	this	this	DET
cana-279	216	13	method	method	NOUN
cana-279	216	14	shows	show	VERB
cana-279	216	15	promise	promise	VERB
cana-279	216	16	for	for	ADP
cana-279	216	17	improving	improve	VERB
cana-279	216	18	logistical	logistical	ADJ
cana-279	216	19	routes	route	NOUN
cana-279	216	20	,	,	PUNCT
cana-279	216	21	optimizing	optimize	VERB
cana-279	216	22	financial	financial	ADJ
cana-279	216	23	portfolios	portfolio	NOUN
cana-279	216	24	,	,	PUNCT
cana-279	216	25	and	and	CCONJ
cana-279	216	26	adjusting	adjust	VERB
cana-279	216	27	machine	machine	NOUN
cana-279	216	28	learning	learning	NOUN
cana-279	216	29	models	model	NOUN
cana-279	216	30	.	.	PUNCT
cana-279	217	1	extensive	extensive	ADJ
cana-279	217	2	simulations	simulation	NOUN
cana-279	217	3	demonstrate	demonstrate	VERB
cana-279	217	4	hqg	hqg	PROPN
cana-279	217	5	-	-	PUNCT
cana-279	217	6	ca	ca	NOUN
cana-279	217	7	's	's	PART
cana-279	217	8	impressive	impressive	ADJ
cana-279	217	9	performance	performance	NOUN
cana-279	217	10	,	,	PUNCT
cana-279	217	11	showcasing	showcase	VERB
cana-279	217	12	algorithmic	algorithmic	ADJ
cana-279	217	13	speedup	speedup	NOUN
cana-279	217	14	,	,	PUNCT
cana-279	217	15	solution	solution	NOUN
cana-279	217	16	correctness	correctness	NOUN
cana-279	217	17	,	,	PUNCT
cana-279	217	18	and	and	CCONJ
cana-279	217	19	scalability	scalability	NOUN
cana-279	217	20	,	,	PUNCT
cana-279	217	21	despite	despite	SCONJ
cana-279	217	22	the	the	DET
cana-279	217	23	inherent	inherent	ADJ
cana-279	217	24	limitations	limitation	NOUN
cana-279	217	25	of	of	ADP
cana-279	217	26	quantum	quantum	ADJ
cana-279	217	27	coherency	coherency	NOUN
cana-279	217	28	and	and	CCONJ
cana-279	217	29	error	error	NOUN
cana-279	217	30	correction	correction	NOUN
cana-279	217	31	.	.	PUNCT
cana-279	218	1	this	this	DET
cana-279	218	2	discovery	discovery	NOUN
cana-279	218	3	represents	represent	VERB
cana-279	218	4	a	a	DET
cana-279	218	5	major	major	ADJ
cana-279	218	6	advancement	advancement	NOUN
cana-279	218	7	in	in	ADP
cana-279	218	8	the	the	DET
cana-279	218	9	search	search	NOUN
cana-279	218	10	for	for	ADP
cana-279	218	11	practical	practical	ADJ
cana-279	218	12	optimization	optimization	NOUN
cana-279	218	13	solutions	solution	NOUN
cana-279	218	14	that	that	PRON
cana-279	218	15	are	be	AUX
cana-279	218	16	driven	drive	VERB
cana-279	218	17	by	by	ADP
cana-279	218	18	quantum	quantum	ADJ
cana-279	218	19	mechanics	mechanic	NOUN
cana-279	218	20	.	.	PUNCT
cana-279	219	1	4	4	X
cana-279	219	2	.	.	NOUN
cana-279	219	3	results	result	NOUN
cana-279	219	4	and	and	CCONJ
cana-279	219	5	discussion	discussion	NOUN
cana-279	219	6	investigating	investigate	VERB
cana-279	219	7	the	the	DET
cana-279	219	8	efficacy	efficacy	NOUN
cana-279	219	9	of	of	ADP
cana-279	219	10	quantum	quantum	NOUN
cana-279	219	11	computing	computing	NOUN
cana-279	219	12	approaches	approach	NOUN
cana-279	219	13	,	,	PUNCT
cana-279	219	14	this	this	DET
cana-279	219	15	study	study	NOUN
cana-279	219	16	zeroes	zero	VERB
cana-279	219	17	attention	attention	NOUN
cana-279	219	18	on	on	ADP
cana-279	219	19	the	the	DET
cana-279	219	20	hybrid	hybrid	ADJ
cana-279	219	21	quantum	quantum	NOUN
cana-279	219	22	gradient	gradient	NOUN
cana-279	219	23	classical	classical	ADJ
cana-279	219	24	approach	approach	NOUN
cana-279	219	25	(	(	PUNCT
cana-279	219	26	hqg	hqg	PROPN
cana-279	219	27	-	-	PROPN
cana-279	219	28	ca	ca	PROPN
cana-279	219	29	)	)	PUNCT
cana-279	219	30	that	that	PRON
cana-279	219	31	has	have	AUX
cana-279	219	32	been	be	AUX
cana-279	219	33	suggested	suggest	VERB
cana-279	219	34	as	as	ADP
cana-279	219	35	a	a	DET
cana-279	219	36	solution	solution	NOUN
cana-279	219	37	to	to	ADP
cana-279	219	38	nonlinear	nonlinear	ADJ
cana-279	219	39	optimization	optimization	NOUN
cana-279	219	40	problems	problem	NOUN
cana-279	219	41	.	.	PUNCT
cana-279	220	1	by	by	ADP
cana-279	220	2	comparing	compare	VERB
cana-279	220	3	hqg	hqg	PROPN
cana-279	220	4	-	-	PUNCT
cana-279	220	5	ca	ca	NOUN
cana-279	220	6	to	to	AUX
cana-279	220	7	both	both	CCONJ
cana-279	220	8	traditional	traditional	ADJ
cana-279	220	9	and	and	CCONJ
cana-279	220	10	standalone	standalone	ADJ
cana-279	220	11	quantum	quantum	ADJ
cana-279	220	12	methods	method	NOUN
cana-279	220	13	,	,	PUNCT
cana-279	220	14	one	one	PRON
cana-279	220	15	can	can	AUX
cana-279	220	16	evaluate	evaluate	VERB
cana-279	220	17	their	their	PRON
cana-279	220	18	efficiency	efficiency	NOUN
cana-279	220	19	,	,	PUNCT
cana-279	220	20	accuracy	accuracy	NOUN
cana-279	220	21	,	,	PUNCT
cana-279	220	22	scalability	scalability	NOUN
cana-279	220	23	,	,	PUNCT
cana-279	220	24	and	and	CCONJ
cana-279	220	25	speedup	speedup	NOUN
cana-279	220	26	in	in	ADP
cana-279	220	27	addressing	address	VERB
cana-279	220	28	computing	computing	NOUN
cana-279	220	29	problems	problem	NOUN
cana-279	220	30	,	,	PUNCT
cana-279	220	31	as	as	ADV
cana-279	220	32	well	well	ADV
cana-279	220	33	as	as	ADP
cana-279	220	34	their	their	PRON
cana-279	220	35	potential	potential	NOUN
cana-279	220	36	for	for	ADP
cana-279	220	37	revolutionizing	revolutionize	VERB
cana-279	220	38	the	the	DET
cana-279	220	39	field	field	NOUN
cana-279	220	40	.	.	PUNCT
cana-279	221	1	figure	figure	NOUN
cana-279	221	2	4(a	4(a	NUM
cana-279	221	3	):	):	PUNCT
cana-279	221	4	algorithmic	algorithmic	ADJ
cana-279	221	5	speedup	speedup	NOUN
cana-279	221	6	analysis	analysis	NOUN
cana-279	221	7	is	be	AUX
cana-279	221	8	compared	compare	VERB
cana-279	221	9	with	with	ADP
cana-279	221	10	hqg	hqg	PROPN
cana-279	221	11	-	-	PUNCT
cana-279	221	12	ca	can	AUX
cana-279	221	13	figure	figure	VERB
cana-279	221	14	4(b	4(b	NUM
cana-279	221	15	):	):	PUNCT
cana-279	221	16	algorithmic	algorithmic	ADJ
cana-279	221	17	speedup	speedup	NOUN
cana-279	221	18	analysis	analysis	NOUN
cana-279	221	19	is	be	AUX
cana-279	221	20	compared	compare	VERB
cana-279	221	21	with	with	ADP
cana-279	221	22	i	i	PROPN
cana-279	221	23	-	-	PUNCT
cana-279	221	24	qa	qa	PROPN
cana-279	221	25	when	when	SCONJ
cana-279	221	26	assessing	assess	VERB
cana-279	221	27	quantum	quantum	ADJ
cana-279	221	28	computing	computing	NOUN
cana-279	221	29	methods	method	NOUN
cana-279	221	30	for	for	ADP
cana-279	221	31	nonlinear	nonlinear	ADJ
cana-279	221	32	optimization	optimization	NOUN
cana-279	221	33	issues	issue	NOUN
cana-279	221	34	,	,	PUNCT
cana-279	221	35	algorithmic	algorithmic	ADJ
cana-279	221	36	speedup	speedup	NOUN
cana-279	221	37	analysis	analysis	NOUN
cana-279	221	38	is	be	AUX
cana-279	221	39	an	an	DET
cana-279	221	40	essential	essential	ADJ
cana-279	221	41	component	component	NOUN
cana-279	221	42	.	.	PUNCT
cana-279	222	1	whether	whether	SCONJ
cana-279	222	2	quantum	quantum	NOUN
cana-279	222	3	computing	computing	NOUN
cana-279	222	4	can	can	AUX
cana-279	222	5	beat	beat	VERB
cana-279	222	6	classical	classical	ADJ
cana-279	222	7	algorithms	algorithm	NOUN
cana-279	222	8	is	be	AUX
cana-279	222	9	a	a	DET
cana-279	222	10	key	key	ADJ
cana-279	222	11	component	component	NOUN
cana-279	222	12	in	in	ADP
cana-279	222	13	its	its	PRON
cana-279	222	14	promise	promise	NOUN
cana-279	222	15	to	to	PART
cana-279	222	16	speed	speed	VERB
cana-279	222	17	up	up	ADP
cana-279	222	18	optimization	optimization	NOUN
cana-279	222	19	procedures	procedure	NOUN
cana-279	222	20	.	.	PUNCT
cana-279	223	1	the	the	DET
cana-279	223	2	suggested	suggest	VERB
cana-279	223	3	hybrid	hybrid	ADJ
cana-279	223	4	quantum	quantum	NOUN
cana-279	223	5	communications	communication	NOUN
cana-279	223	6	on	on	ADP
cana-279	223	7	applied	apply	VERB
cana-279	223	8	nonlinear	nonlinear	ADJ
cana-279	223	9	analysis	analysis	NOUN
cana-279	223	10	issn	issn	NOUN
cana-279	223	11	:	:	PUNCT
cana-279	223	12	1074	1074	NUM
cana-279	223	13	-	-	PUNCT
cana-279	223	14	133x	133x	NUM
cana-279	223	15	vol	vol	NOUN
cana-279	223	16	30	30	NUM
cana-279	223	17	no	no	NOUN
cana-279	223	18	.	.	NOUN
cana-279	223	19	4	4	NUM
cana-279	223	20	(	(	PUNCT
cana-279	223	21	2023	2023	NUM
cana-279	223	22	)	)	PUNCT
cana-279	224	1	12	12	NUM
cana-279	224	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-279	224	3	gradient	gradient	ADJ
cana-279	224	4	classical	classical	ADJ
cana-279	224	5	approach	approach	NOUN
cana-279	224	6	(	(	PUNCT
cana-279	224	7	hqg	hqg	PROPN
cana-279	224	8	-	-	PROPN
cana-279	224	9	ca	ca	PROPN
cana-279	224	10	)	)	PUNCT
cana-279	224	11	and	and	CCONJ
cana-279	224	12	other	other	ADJ
cana-279	224	13	quantum	quantum	ADJ
cana-279	224	14	algorithms	algorithm	NOUN
cana-279	224	15	are	be	AUX
cana-279	224	16	compared	compare	VERB
cana-279	224	17	to	to	ADP
cana-279	224	18	more	more	ADV
cana-279	224	19	conventional	conventional	ADJ
cana-279	224	20	approaches	approach	NOUN
cana-279	224	21	in	in	ADP
cana-279	224	22	terms	term	NOUN
cana-279	224	23	of	of	ADP
cana-279	224	24	their	their	PRON
cana-279	224	25	computing	computing	NOUN
cana-279	224	26	speed	speed	NOUN
cana-279	224	27	in	in	ADP
cana-279	224	28	this	this	DET
cana-279	224	29	analysis	analysis	NOUN
cana-279	224	30	.	.	PUNCT
cana-279	225	1	specifically	specifically	ADV
cana-279	225	2	,	,	PUNCT
cana-279	225	3	people	people	NOUN
cana-279	225	4	are	be	AUX
cana-279	225	5	interested	interested	ADJ
cana-279	225	6	in	in	ADP
cana-279	225	7	quantifying	quantify	VERB
cana-279	225	8	the	the	DET
cana-279	225	9	efficiency	efficiency	NOUN
cana-279	225	10	benefits	benefit	NOUN
cana-279	225	11	of	of	ADP
cana-279	225	12	quantum	quantum	ADJ
cana-279	225	13	parallelism	parallelism	NOUN
cana-279	225	14	and	and	CCONJ
cana-279	225	15	superposition	superposition	NOUN
cana-279	225	16	.	.	PUNCT
cana-279	226	1	researchers	researcher	NOUN
cana-279	226	2	can	can	AUX
cana-279	226	3	determine	determine	VERB
cana-279	226	4	the	the	DET
cana-279	226	5	quantum	quantum	NOUN
cana-279	226	6	advantage	advantage	NOUN
cana-279	226	7	in	in	ADP
cana-279	226	8	tackling	tackle	VERB
cana-279	226	9	nonlinear	nonlinear	ADJ
cana-279	226	10	optimization	optimization	NOUN
cana-279	226	11	problems	problem	NOUN
cana-279	226	12	by	by	ADP
cana-279	226	13	evaluating	evaluate	VERB
cana-279	226	14	the	the	DET
cana-279	226	15	algorithmic	algorithmic	ADJ
cana-279	226	16	speedup	speedup	NOUN
cana-279	226	17	.	.	PUNCT
cana-279	227	1	people	people	NOUN
cana-279	227	2	focus	focus	VERB
cana-279	227	3	on	on	ADP
cana-279	227	4	the	the	DET
cana-279	227	5	effect	effect	NOUN
cana-279	227	6	on	on	ADP
cana-279	227	7	convergence	convergence	NOUN
cana-279	227	8	rates	rate	NOUN
cana-279	227	9	of	of	ADP
cana-279	227	10	the	the	DET
cana-279	227	11	hqg	hqg	PROPN
cana-279	227	12	-	-	PUNCT
cana-279	227	13	use	use	NOUN
cana-279	227	14	of	of	ADP
cana-279	227	15	parameterized	parameterized	ADJ
cana-279	227	16	quantum	quantum	ADJ
cana-279	227	17	circuits	circuit	NOUN
cana-279	227	18	and	and	CCONJ
cana-279	227	19	quantum	quantum	NOUN
cana-279	227	20	gradient	gradient	NOUN
cana-279	227	21	information	information	NOUN
cana-279	227	22	.	.	PUNCT
cana-279	228	1	this	this	DET
cana-279	228	2	investigation	investigation	NOUN
cana-279	228	3	reveals	reveal	VERB
cana-279	228	4	how	how	SCONJ
cana-279	228	5	quantum	quantum	ADJ
cana-279	228	6	algorithms	algorithm	NOUN
cana-279	228	7	may	may	AUX
cana-279	228	8	solve	solve	VERB
cana-279	228	9	complicated	complicated	ADJ
cana-279	228	10	optimization	optimization	NOUN
cana-279	228	11	problems	problem	NOUN
cana-279	228	12	faster	fast	ADV
cana-279	228	13	than	than	ADP
cana-279	228	14	classical	classical	ADJ
cana-279	228	15	algorithms	algorithm	NOUN
cana-279	228	16	,	,	PUNCT
cana-279	228	17	which	which	PRON
cana-279	228	18	shows	show	VERB
cana-279	228	19	that	that	SCONJ
cana-279	228	20	quantum	quantum	NOUN
cana-279	228	21	computing	computing	NOUN
cana-279	228	22	has	have	VERB
cana-279	228	23	a	a	DET
cana-279	228	24	real	real	ADJ
cana-279	228	25	chance	chance	NOUN
cana-279	228	26	of	of	ADP
cana-279	228	27	changing	change	VERB
cana-279	228	28	the	the	DET
cana-279	228	29	game	game	NOUN
cana-279	228	30	in	in	ADP
cana-279	228	31	nonlinear	nonlinear	ADJ
cana-279	228	32	optimization	optimization	NOUN
cana-279	228	33	.	.	PUNCT
cana-279	229	1	figure	figure	NOUN
cana-279	229	2	4(a	4(a	NUM
cana-279	229	3	):	):	PUNCT
cana-279	230	1	the	the	DET
cana-279	230	2	result	result	NOUN
cana-279	230	3	of	of	ADP
cana-279	230	4	comparing	compare	VERB
cana-279	230	5	algorithmic	algorithmic	ADJ
cana-279	230	6	speedup	speedup	NOUN
cana-279	230	7	analysis	analysis	NOUN
cana-279	230	8	with	with	ADP
cana-279	230	9	hybrid	hybrid	ADJ
cana-279	230	10	quantum	quantum	ADJ
cana-279	230	11	gradient	gradient	NOUN
cana-279	230	12	classical	classical	ADJ
cana-279	230	13	approach	approach	NOUN
cana-279	230	14	(	(	PUNCT
cana-279	230	15	hqg	hqg	PROPN
cana-279	230	16	-	-	PUNCT
cana-279	230	17	ca	ca	PROPN
cana-279	230	18	)	)	PUNCT
cana-279	230	19	is	be	AUX
cana-279	230	20	a	a	DET
cana-279	230	21	remarkable	remarkable	ADJ
cana-279	230	22	correlation	correlation	NOUN
cana-279	230	23	of	of	ADP
cana-279	230	24	96.2	96.2	NUM
cana-279	230	25	%	%	NOUN
cana-279	230	26	.	.	PUNCT
cana-279	231	1	figure	figure	NOUN
cana-279	231	2	4(b	4(b	NUM
cana-279	231	3	):	):	PUNCT
cana-279	231	4	by	by	ADP
cana-279	231	5	comparing	compare	VERB
cana-279	231	6	the	the	DET
cana-279	231	7	algorithmic	algorithmic	ADJ
cana-279	231	8	speedup	speedup	NOUN
cana-279	231	9	analysis	analysis	NOUN
cana-279	231	10	with	with	ADP
cana-279	231	11	the	the	DET
cana-279	231	12	individual	individual	ADJ
cana-279	231	13	quantum	quantum	NOUN
cana-279	231	14	approach	approach	NOUN
cana-279	231	15	(	(	PUNCT
cana-279	231	16	iqa	iqa	PROPN
cana-279	231	17	)	)	PUNCT
cana-279	231	18	,	,	PUNCT
cana-279	231	19	a	a	DET
cana-279	231	20	remarkable	remarkable	ADJ
cana-279	231	21	correlation	correlation	NOUN
cana-279	231	22	of	of	ADP
cana-279	231	23	91.3	91.3	NUM
cana-279	231	24	%	%	NOUN
cana-279	231	25	is	be	AUX
cana-279	231	26	revealed	reveal	VERB
cana-279	231	27	.	.	PUNCT
cana-279	232	1	figure	figure	NOUN
cana-279	232	2	5(a	5(a	NUM
cana-279	232	3	):	):	PUNCT
cana-279	232	4	accuracy	accuracy	NOUN
cana-279	232	5	analysis	analysis	NOUN
cana-279	232	6	is	be	AUX
cana-279	232	7	compared	compare	VERB
cana-279	232	8	with	with	ADP
cana-279	232	9	hqg	hqg	PROPN
cana-279	232	10	-	-	PUNCT
cana-279	232	11	ca	can	AUX
cana-279	232	12	figure	figure	VERB
cana-279	232	13	5(b	5(b	NUM
cana-279	232	14	):	):	PUNCT
cana-279	232	15	accuracy	accuracy	NOUN
cana-279	232	16	analysis	analysis	NOUN
cana-279	232	17	is	be	AUX
cana-279	232	18	compared	compare	VERB
cana-279	232	19	with	with	ADP
cana-279	232	20	i	i	PROPN
cana-279	232	21	-	-	PUNCT
cana-279	232	22	qa	qa	PROPN
cana-279	232	23	quantum	quantum	NOUN
cana-279	232	24	computing	computing	NOUN
cana-279	232	25	algorithms	algorithm	NOUN
cana-279	232	26	,	,	PUNCT
cana-279	232	27	especially	especially	ADV
cana-279	232	28	the	the	DET
cana-279	232	29	hybrid	hybrid	ADJ
cana-279	232	30	quantum	quantum	NOUN
cana-279	232	31	gradient	gradient	NOUN
cana-279	232	32	classical	classical	ADJ
cana-279	232	33	approach	approach	NOUN
cana-279	232	34	(	(	PUNCT
cana-279	232	35	hqg	hqg	PROPN
cana-279	232	36	-	-	PROPN
cana-279	232	37	ca	ca	PROPN
cana-279	232	38	)	)	PUNCT
cana-279	232	39	,	,	PUNCT
cana-279	232	40	for	for	ADP
cana-279	232	41	nonlinear	nonlinear	ADJ
cana-279	232	42	optimization	optimization	NOUN
cana-279	232	43	problems	problem	NOUN
cana-279	232	44	rely	rely	VERB
cana-279	232	45	heavily	heavily	ADV
cana-279	232	46	on	on	ADP
cana-279	232	47	accuracy	accuracy	NOUN
cana-279	232	48	analysis	analysis	NOUN
cana-279	232	49	to	to	PART
cana-279	232	50	determine	determine	VERB
cana-279	232	51	their	their	PRON
cana-279	232	52	effectiveness	effectiveness	NOUN
cana-279	232	53	.	.	PUNCT
cana-279	233	1	the	the	DET
cana-279	233	2	algorithms	algorithm	NOUN
cana-279	233	3	'	'	PART
cana-279	233	4	real	real	ADJ
cana-279	233	5	-	-	PUNCT
cana-279	233	6	world	world	NOUN
cana-279	233	7	usefulness	usefulness	NOUN
cana-279	233	8	is	be	AUX
cana-279	233	9	heavily	heavily	ADV
cana-279	233	10	dependent	dependent	ADJ
cana-279	233	11	on	on	ADP
cana-279	233	12	how	how	SCONJ
cana-279	233	13	accurately	accurately	ADV
cana-279	233	14	they	they	PRON
cana-279	233	15	solve	solve	VERB
cana-279	233	16	problems	problem	NOUN
cana-279	233	17	.	.	PUNCT
cana-279	234	1	this	this	DET
cana-279	234	2	study	study	NOUN
cana-279	234	3	examines	examine	VERB
cana-279	234	4	the	the	DET
cana-279	234	5	effect	effect	NOUN
cana-279	234	6	of	of	ADP
cana-279	234	7	quantum	quantum	ADJ
cana-279	234	8	parallelism	parallelism	NOUN
cana-279	234	9	and	and	CCONJ
cana-279	234	10	superposition	superposition	NOUN
cana-279	234	11	on	on	ADP
cana-279	234	12	solution	solution	NOUN
cana-279	234	13	fidelity	fidelity	NOUN
cana-279	234	14	by	by	ADP
cana-279	234	15	contrasting	contrast	VERB
cana-279	234	16	the	the	DET
cana-279	234	17	performance	performance	NOUN
cana-279	234	18	of	of	ADP
cana-279	234	19	classical	classical	ADJ
cana-279	234	20	and	and	CCONJ
cana-279	234	21	quantum	quantum	ADJ
cana-279	234	22	algorithms	algorithm	NOUN
cana-279	234	23	.	.	PUNCT
cana-279	235	1	people	people	NOUN
cana-279	235	2	focus	focus	VERB
cana-279	235	3	on	on	ADP
cana-279	235	4	the	the	DET
cana-279	235	5	impact	impact	NOUN
cana-279	235	6	on	on	ADP
cana-279	235	7	solution	solution	NOUN
cana-279	235	8	accuracy	accuracy	NOUN
cana-279	235	9	of	of	ADP
cana-279	235	10	the	the	DET
cana-279	235	11	hqg	hqg	PROPN
cana-279	235	12	-	-	PUNCT
cana-279	235	13	use	use	NOUN
cana-279	235	14	of	of	ADP
cana-279	235	15	ca	ca	NOUN
cana-279	235	16	's	's	PART
cana-279	235	17	parameterized	parameterized	ADJ
cana-279	235	18	quantum	quantum	ADJ
cana-279	235	19	circuits	circuit	NOUN
cana-279	235	20	and	and	CCONJ
cana-279	235	21	quantum	quantum	NOUN
cana-279	235	22	gradient	gradient	NOUN
cana-279	235	23	information	information	NOUN
cana-279	235	24	.	.	PUNCT
cana-279	236	1	researchers	researcher	NOUN
cana-279	236	2	can	can	AUX
cana-279	236	3	determine	determine	VERB
cana-279	236	4	the	the	DET
cana-279	236	5	algorithm	algorithm	NOUN
cana-279	236	6	's	's	PART
cana-279	236	7	resilience	resilience	NOUN
cana-279	236	8	in	in	ADP
cana-279	236	9	dealing	deal	VERB
cana-279	236	10	with	with	ADP
cana-279	236	11	nonlinear	nonlinear	ADJ
cana-279	236	12	optimization	optimization	NOUN
cana-279	236	13	problems	problem	NOUN
cana-279	236	14	by	by	ADP
cana-279	236	15	evaluating	evaluate	VERB
cana-279	236	16	the	the	DET
cana-279	236	17	consistency	consistency	NOUN
cana-279	236	18	and	and	CCONJ
cana-279	236	19	dependability	dependability	NOUN
cana-279	236	20	of	of	ADP
cana-279	236	21	quantum	quantum	ADJ
cana-279	236	22	solutions	solution	NOUN
cana-279	236	23	across	across	ADP
cana-279	236	24	different	different	ADJ
cana-279	236	25	contexts	contexts	NOUN
cana-279	236	26	.	.	PUNCT
cana-279	237	1	to	to	PART
cana-279	237	2	find	find	VERB
cana-279	237	3	out	out	ADP
cana-279	237	4	if	if	SCONJ
cana-279	237	5	quantum	quantum	NOUN
cana-279	237	6	computing	computing	NOUN
cana-279	237	7	can	can	AUX
cana-279	237	8	solve	solve	VERB
cana-279	237	9	real	real	ADJ
cana-279	237	10	-	-	PUNCT
cana-279	237	11	world	world	NOUN
cana-279	237	12	nonlinear	nonlinear	ADJ
cana-279	237	13	optimization	optimization	NOUN
cana-279	237	14	problems	problem	NOUN
cana-279	237	15	accurately	accurately	ADV
cana-279	237	16	,	,	PUNCT
cana-279	237	17	this	this	DET
cana-279	237	18	study	study	NOUN
cana-279	237	19	sheds	shed	VERB
cana-279	237	20	light	light	NOUN
cana-279	237	21	on	on	ADP
cana-279	237	22	the	the	DET
cana-279	237	23	trade	trade	NOUN
cana-279	237	24	-	-	PUNCT
cana-279	237	25	offs	off	NOUN
cana-279	237	26	between	between	ADP
cana-279	237	27	algorithmic	algorithmic	ADJ
cana-279	237	28	speedup	speedup	NOUN
cana-279	237	29	and	and	CCONJ
cana-279	237	30	solution	solution	NOUN
cana-279	237	31	correctness	correctness	NOUN
cana-279	237	32	.	.	PUNCT
cana-279	238	1	figure	figure	NOUN
cana-279	238	2	5(a	5(a	NUM
cana-279	238	3	):	):	PUNCT
cana-279	238	4	a	a	DET
cana-279	238	5	significant	significant	ADJ
cana-279	238	6	correlation	correlation	NOUN
cana-279	238	7	of	of	ADP
cana-279	238	8	97.5	97.5	NUM
cana-279	238	9	%	%	NOUN
cana-279	238	10	is	be	AUX
cana-279	238	11	displayed	display	VERB
cana-279	238	12	in	in	ADP
cana-279	238	13	the	the	DET
cana-279	238	14	accuracy	accuracy	NOUN
cana-279	238	15	analysis	analysis	NOUN
cana-279	238	16	when	when	SCONJ
cana-279	238	17	compared	compare	VERB
cana-279	238	18	with	with	ADP
cana-279	238	19	the	the	DET
cana-279	238	20	hybrid	hybrid	ADJ
cana-279	238	21	quantum	quantum	NOUN
cana-279	238	22	gradient	gradient	NOUN
cana-279	238	23	classical	classical	ADJ
cana-279	238	24	approach	approach	NOUN
cana-279	238	25	(	(	PUNCT
cana-279	238	26	hqg	hqg	PROPN
cana-279	238	27	-	-	PROPN
cana-279	238	28	ca	ca	PROPN
cana-279	238	29	)	)	PUNCT
cana-279	238	30	.	.	PUNCT
cana-279	239	1	the	the	DET
cana-279	239	2	same	same	ADJ
cana-279	239	3	accuracy	accuracy	NOUN
cana-279	239	4	analysis	analysis	NOUN
cana-279	239	5	shows	show	VERB
cana-279	239	6	a	a	DET
cana-279	239	7	strong	strong	ADJ
cana-279	239	8	correlation	correlation	NOUN
cana-279	239	9	of	of	ADP
cana-279	239	10	91.6	91.6	NUM
cana-279	239	11	%	%	NOUN
cana-279	239	12	when	when	SCONJ
cana-279	239	13	compared	compare	VERB
cana-279	239	14	with	with	ADP
cana-279	239	15	the	the	DET
cana-279	239	16	individual	individual	ADJ
cana-279	239	17	quantum	quantum	NOUN
cana-279	239	18	approach	approach	NOUN
cana-279	239	19	(	(	PUNCT
cana-279	239	20	i	i	NOUN
cana-279	239	21	-	-	PUNCT
cana-279	239	22	qa	qa	PROPN
cana-279	239	23	)	)	PUNCT
cana-279	239	24	,	,	PUNCT
cana-279	239	25	as	as	SCONJ
cana-279	239	26	shown	show	VERB
cana-279	239	27	in	in	ADP
cana-279	239	28	figure	figure	NOUN
cana-279	239	29	5(b	5(b	NUM
cana-279	239	30	)	)	PUNCT
cana-279	239	31	.	.	PUNCT
cana-279	240	1	communications	communication	NOUN
cana-279	240	2	on	on	ADP
cana-279	240	3	applied	apply	VERB
cana-279	240	4	nonlinear	nonlinear	ADJ
cana-279	240	5	analysis	analysis	NOUN
cana-279	240	6	issn	issn	NOUN
cana-279	240	7	:	:	PUNCT
cana-279	240	8	1074	1074	NUM
cana-279	240	9	-	-	PUNCT
cana-279	240	10	133x	133x	NUM
cana-279	240	11	vol	vol	NOUN
cana-279	240	12	30	30	NUM
cana-279	240	13	no	no	NOUN
cana-279	240	14	.	.	NOUN
cana-279	240	15	4	4	NUM
cana-279	240	16	(	(	PUNCT
cana-279	240	17	2023	2023	NUM
cana-279	240	18	)	)	PUNCT
cana-279	240	19	13	13	NUM
cana-279	240	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-279	240	21	figure	figure	NOUN
cana-279	240	22	6(a	6(a	NUM
cana-279	240	23	):	):	PUNCT
cana-279	240	24	scalability	scalability	NOUN
cana-279	240	25	analysis	analysis	NOUN
cana-279	240	26	is	be	AUX
cana-279	240	27	compared	compare	VERB
cana-279	240	28	with	with	ADP
cana-279	240	29	hqg	hqg	PROPN
cana-279	240	30	-	-	PUNCT
cana-279	240	31	ca	can	AUX
cana-279	240	32	figure	figure	VERB
cana-279	240	33	6(b	6(b	NUM
cana-279	240	34	):	):	PUNCT
cana-279	240	35	scalability	scalability	NOUN
cana-279	240	36	analysis	analysis	NOUN
cana-279	240	37	is	be	AUX
cana-279	240	38	compared	compare	VERB
cana-279	240	39	with	with	ADP
cana-279	240	40	i	i	PROPN
cana-279	240	41	-	-	PUNCT
cana-279	240	42	qa	qa	PROPN
cana-279	240	43	evaluating	evaluate	VERB
cana-279	240	44	the	the	DET
cana-279	240	45	potential	potential	NOUN
cana-279	240	46	of	of	ADP
cana-279	240	47	quantum	quantum	ADJ
cana-279	240	48	computing	computing	NOUN
cana-279	240	49	methods	method	NOUN
cana-279	240	50	,	,	PUNCT
cana-279	240	51	especially	especially	ADV
cana-279	240	52	the	the	DET
cana-279	240	53	hybrid	hybrid	ADJ
cana-279	240	54	quantum	quantum	NOUN
cana-279	240	55	gradient	gradient	NOUN
cana-279	240	56	classical	classical	ADJ
cana-279	240	57	approach	approach	NOUN
cana-279	240	58	(	(	PUNCT
cana-279	240	59	hqg	hqg	PROPN
cana-279	240	60	-	-	PROPN
cana-279	240	61	ca	ca	PROPN
cana-279	240	62	)	)	PUNCT
cana-279	240	63	,	,	PUNCT
cana-279	240	64	for	for	ADP
cana-279	240	65	nonlinear	nonlinear	ADJ
cana-279	240	66	optimization	optimization	NOUN
cana-279	240	67	problems	problem	NOUN
cana-279	240	68	requires	require	VERB
cana-279	240	69	a	a	DET
cana-279	240	70	scalability	scalability	NOUN
cana-279	240	71	analysis	analysis	NOUN
cana-279	240	72	.	.	PUNCT
cana-279	241	1	practical	practical	ADJ
cana-279	241	2	applications	application	NOUN
cana-279	241	3	rely	rely	VERB
cana-279	241	4	on	on	ADP
cana-279	241	5	these	these	DET
cana-279	241	6	algorithms	algorithm	NOUN
cana-279	241	7	'	'	PART
cana-279	241	8	capacity	capacity	NOUN
cana-279	241	9	to	to	PART
cana-279	241	10	efficiently	efficiently	ADV
cana-279	241	11	address	address	VERB
cana-279	241	12	bigger	big	ADJ
cana-279	241	13	problem	problem	NOUN
cana-279	241	14	sizes	size	NOUN
cana-279	241	15	.	.	PUNCT
cana-279	242	1	the	the	DET
cana-279	242	2	scalability	scalability	NOUN
cana-279	242	3	of	of	ADP
cana-279	242	4	quantum	quantum	ADJ
cana-279	242	5	algorithms	algorithm	NOUN
cana-279	242	6	with	with	ADP
cana-279	242	7	respect	respect	NOUN
cana-279	242	8	to	to	ADP
cana-279	242	9	the	the	DET
cana-279	242	10	increase	increase	NOUN
cana-279	242	11	in	in	ADP
cana-279	242	12	task	task	NOUN
cana-279	242	13	complexity	complexity	NOUN
cana-279	242	14	is	be	AUX
cana-279	242	15	the	the	DET
cana-279	242	16	main	main	ADJ
cana-279	242	17	subject	subject	NOUN
cana-279	242	18	of	of	ADP
cana-279	242	19	this	this	DET
cana-279	242	20	analysis	analysis	NOUN
cana-279	242	21	.	.	PUNCT
cana-279	243	1	researchers	researcher	NOUN
cana-279	243	2	focus	focus	VERB
cana-279	243	3	on	on	ADP
cana-279	243	4	the	the	DET
cana-279	243	5	hqg	hqg	PROPN
cana-279	243	6	-	-	PROPN
cana-279	243	7	ca	ca	PROPN
cana-279	243	8	's	's	PART
cana-279	243	9	ability	ability	NOUN
cana-279	243	10	to	to	PART
cana-279	243	11	efficiently	efficiently	ADV
cana-279	243	12	handle	handle	VERB
cana-279	243	13	an	an	DET
cana-279	243	14	increasing	increase	VERB
cana-279	243	15	number	number	NOUN
cana-279	243	16	of	of	ADP
cana-279	243	17	variables	variable	NOUN
cana-279	243	18	and	and	CCONJ
cana-279	243	19	restrictions	restriction	NOUN
cana-279	243	20	.	.	PUNCT
cana-279	244	1	whether	whether	SCONJ
cana-279	244	2	quantum	quantum	ADJ
cana-279	244	3	advantages	advantage	NOUN
cana-279	244	4	remain	remain	VERB
cana-279	244	5	as	as	SCONJ
cana-279	244	6	problem	problem	NOUN
cana-279	244	7	sizes	size	NOUN
cana-279	244	8	grow	grow	VERB
cana-279	244	9	is	be	AUX
cana-279	244	10	an	an	DET
cana-279	244	11	important	important	ADJ
cana-279	244	12	question	question	NOUN
cana-279	244	13	to	to	PART
cana-279	244	14	ask	ask	VERB
cana-279	244	15	when	when	SCONJ
cana-279	244	16	thinking	think	VERB
cana-279	244	17	about	about	ADP
cana-279	244	18	scalability	scalability	NOUN
cana-279	244	19	.	.	PUNCT
cana-279	245	1	this	this	DET
cana-279	245	2	analysis	analysis	NOUN
cana-279	245	3	aims	aim	VERB
cana-279	245	4	to	to	PART
cana-279	245	5	shed	shed	VERB
cana-279	245	6	light	light	NOUN
cana-279	245	7	on	on	ADP
cana-279	245	8	the	the	DET
cana-279	245	9	hqg	hqg	PROPN
cana-279	245	10	-	-	PUNCT
cana-279	245	11	ca	ca	PROPN
cana-279	245	12	's	's	PART
cana-279	245	13	potential	potential	ADJ
cana-279	245	14	scalability	scalability	NOUN
cana-279	245	15	in	in	ADP
cana-279	245	16	optimization	optimization	NOUN
cana-279	245	17	domains	domain	NOUN
cana-279	245	18	by	by	ADP
cana-279	245	19	analyzing	analyze	VERB
cana-279	245	20	its	its	PRON
cana-279	245	21	performance	performance	NOUN
cana-279	245	22	across	across	ADP
cana-279	245	23	different	different	ADJ
cana-279	245	24	scales	scale	NOUN
cana-279	245	25	of	of	ADP
cana-279	245	26	optimization	optimization	NOUN
cana-279	245	27	problems	problem	NOUN
cana-279	245	28	.	.	PUNCT
cana-279	246	1	by	by	ADP
cana-279	246	2	doing	do	VERB
cana-279	246	3	consequently	consequently	ADV
cana-279	246	4	,	,	PUNCT
cana-279	246	5	it	it	PRON
cana-279	246	6	contributes	contribute	VERB
cana-279	246	7	to	to	ADP
cana-279	246	8	our	our	PRON
cana-279	246	9	understanding	understanding	NOUN
cana-279	246	10	of	of	ADP
cana-279	246	11	how	how	SCONJ
cana-279	246	12	quantum	quantum	ADJ
cana-279	246	13	computing	computing	NOUN
cana-279	246	14	can	can	AUX
cana-279	246	15	tackle	tackle	VERB
cana-279	246	16	complex	complex	ADJ
cana-279	246	17	,	,	PUNCT
cana-279	246	18	real	real	ADJ
cana-279	246	19	-	-	PUNCT
cana-279	246	20	world	world	NOUN
cana-279	246	21	nonlinear	nonlinear	ADJ
cana-279	246	22	optimization	optimization	NOUN
cana-279	246	23	problems	problem	NOUN
cana-279	246	24	.	.	PUNCT
cana-279	247	1	figure	figure	NOUN
cana-279	247	2	6(a	6(a	NUM
cana-279	247	3	):	):	PUNCT
cana-279	247	4	a	a	DET
cana-279	247	5	remarkable	remarkable	ADJ
cana-279	247	6	correlation	correlation	NOUN
cana-279	247	7	of	of	ADP
cana-279	247	8	98.3	98.3	NUM
cana-279	247	9	%	%	NOUN
cana-279	247	10	is	be	AUX
cana-279	247	11	shown	show	VERB
cana-279	247	12	in	in	ADP
cana-279	247	13	the	the	DET
cana-279	247	14	scalability	scalability	NOUN
cana-279	247	15	analysis	analysis	NOUN
cana-279	247	16	when	when	SCONJ
cana-279	247	17	compared	compare	VERB
cana-279	247	18	to	to	ADP
cana-279	247	19	the	the	DET
cana-279	247	20	hybrid	hybrid	ADJ
cana-279	247	21	quantum	quantum	NOUN
cana-279	247	22	gradient	gradient	NOUN
cana-279	247	23	classical	classical	ADJ
cana-279	247	24	approach	approach	NOUN
cana-279	247	25	(	(	PUNCT
cana-279	247	26	hqg	hqg	PROPN
cana-279	247	27	-	-	PUNCT
cana-279	247	28	ca	ca	PROPN
cana-279	247	29	)	)	PUNCT
cana-279	247	30	.	.	PUNCT
cana-279	248	1	figure	figure	NOUN
cana-279	248	2	6(b	6(b	NUM
cana-279	248	3	):	):	PUNCT
cana-279	248	4	a	a	DET
cana-279	248	5	remarkable	remarkable	ADJ
cana-279	248	6	correlation	correlation	NOUN
cana-279	248	7	of	of	ADP
cana-279	248	8	91.3	91.3	NUM
cana-279	248	9	%	%	NOUN
cana-279	248	10	is	be	AUX
cana-279	248	11	seen	see	VERB
cana-279	248	12	in	in	ADP
cana-279	248	13	the	the	DET
cana-279	248	14	same	same	ADJ
cana-279	248	15	scalability	scalability	NOUN
cana-279	248	16	analysis	analysis	NOUN
cana-279	248	17	when	when	SCONJ
cana-279	248	18	compared	compare	VERB
cana-279	248	19	with	with	ADP
cana-279	248	20	individual	individual	ADJ
cana-279	248	21	quantum	quantum	NOUN
cana-279	248	22	approach	approach	NOUN
cana-279	248	23	(	(	PUNCT
cana-279	248	24	i	i	NOUN
cana-279	248	25	-	-	PUNCT
cana-279	248	26	qa	qa	PROPN
cana-279	248	27	)	)	PUNCT
cana-279	248	28	.	.	PUNCT
cana-279	249	1	figure	figure	NOUN
cana-279	249	2	7(a	7(a	NUM
cana-279	249	3	):	):	PUNCT
cana-279	249	4	overall	overall	ADJ
cana-279	249	5	efficiency	efficiency	NOUN
cana-279	249	6	analysis	analysis	NOUN
cana-279	249	7	is	be	AUX
cana-279	249	8	compared	compare	VERB
cana-279	249	9	with	with	ADP
cana-279	249	10	hqg	hqg	PROPN
cana-279	249	11	-	-	PUNCT
cana-279	249	12	ca	can	AUX
cana-279	249	13	figure	figure	VERB
cana-279	249	14	7(b	7(b	NOUN
cana-279	249	15	):	):	PUNCT
cana-279	249	16	overall	overall	ADJ
cana-279	249	17	efficiency	efficiency	NOUN
cana-279	249	18	analysis	analysis	NOUN
cana-279	249	19	is	be	AUX
cana-279	249	20	compared	compare	VERB
cana-279	249	21	with	with	ADP
cana-279	249	22	i	i	PROPN
cana-279	249	23	-	-	PROPN
cana-279	249	24	qa	qa	PROPN
cana-279	249	25	a	a	DET
cana-279	249	26	thorough	thorough	ADJ
cana-279	249	27	evaluation	evaluation	NOUN
cana-279	249	28	of	of	ADP
cana-279	249	29	the	the	DET
cana-279	249	30	possibilities	possibility	NOUN
cana-279	249	31	of	of	ADP
cana-279	249	32	quantum	quantum	NOUN
cana-279	249	33	computing	computing	NOUN
cana-279	249	34	methods	method	NOUN
cana-279	249	35	,	,	PUNCT
cana-279	249	36	particularly	particularly	ADV
cana-279	249	37	the	the	DET
cana-279	249	38	hybrid	hybrid	ADJ
cana-279	249	39	quantum	quantum	NOUN
cana-279	249	40	gradient	gradient	NOUN
cana-279	249	41	classical	classical	ADJ
cana-279	249	42	approach	approach	NOUN
cana-279	249	43	(	(	PUNCT
cana-279	249	44	hqg	hqg	PROPN
cana-279	249	45	-	-	PROPN
cana-279	249	46	ca	ca	PROPN
cana-279	249	47	)	)	PUNCT
cana-279	249	48	,	,	PUNCT
cana-279	249	49	for	for	ADP
cana-279	249	50	solving	solve	VERB
cana-279	249	51	nonlinear	nonlinear	ADJ
cana-279	249	52	optimization	optimization	NOUN
cana-279	249	53	problems	problem	VERB
cana-279	249	54	communications	communication	NOUN
cana-279	249	55	on	on	ADP
cana-279	249	56	applied	apply	VERB
cana-279	249	57	nonlinear	nonlinear	ADJ
cana-279	249	58	analysis	analysis	NOUN
cana-279	249	59	issn	issn	NOUN
cana-279	249	60	:	:	PUNCT
cana-279	249	61	1074	1074	NUM
cana-279	249	62	-	-	PUNCT
cana-279	249	63	133x	133x	NUM
cana-279	249	64	vol	vol	NOUN
cana-279	249	65	30	30	NUM
cana-279	249	66	no	no	NOUN
cana-279	249	67	.	.	NOUN
cana-279	249	68	4	4	NUM
cana-279	249	69	(	(	PUNCT
cana-279	249	70	2023	2023	NUM
cana-279	249	71	)	)	PUNCT
cana-279	249	72	14	14	NUM
cana-279	249	73	https://internationalpubls.com	https://internationalpubls.com	X
cana-279	249	74	requires	require	VERB
cana-279	249	75	an	an	DET
cana-279	249	76	overall	overall	ADJ
cana-279	249	77	efficiency	efficiency	NOUN
cana-279	249	78	analysis	analysis	NOUN
cana-279	249	79	.	.	PUNCT
cana-279	250	1	this	this	DET
cana-279	250	2	comprehensive	comprehensive	ADJ
cana-279	250	3	study	study	NOUN
cana-279	250	4	takes	take	VERB
cana-279	250	5	scalability	scalability	NOUN
cana-279	250	6	,	,	PUNCT
cana-279	250	7	solution	solution	NOUN
cana-279	250	8	correctness	correctness	NOUN
cana-279	250	9	,	,	PUNCT
cana-279	250	10	and	and	CCONJ
cana-279	250	11	algorithmic	algorithmic	ADJ
cana-279	250	12	speedup	speedup	NOUN
cana-279	250	13	into	into	ADP
cana-279	250	14	account	account	NOUN
cana-279	250	15	.	.	PUNCT
cana-279	251	1	its	its	PRON
cana-279	251	2	ultimate	ultimate	ADJ
cana-279	251	3	goal	goal	NOUN
cana-279	251	4	is	be	AUX
cana-279	251	5	to	to	PART
cana-279	251	6	shed	shed	VERB
cana-279	251	7	light	light	NOUN
cana-279	251	8	on	on	ADP
cana-279	251	9	the	the	DET
cana-279	251	10	multidimensional	multidimensional	ADJ
cana-279	251	11	and	and	CCONJ
cana-279	251	12	multi	multi	ADJ
cana-279	251	13	-	-	ADJ
cana-279	251	14	conditional	conditional	ADJ
cana-279	251	15	behavior	behavior	NOUN
cana-279	251	16	of	of	ADP
cana-279	251	17	quantum	quantum	ADJ
cana-279	251	18	algorithms	algorithm	NOUN
cana-279	251	19	.	.	PUNCT
cana-279	252	1	to	to	PART
cana-279	252	2	determine	determine	VERB
cana-279	252	3	how	how	SCONJ
cana-279	252	4	well	well	ADV
cana-279	252	5	the	the	DET
cana-279	252	6	hqg	hqg	PROPN
cana-279	252	7	-	-	PUNCT
cana-279	252	8	ca	ca	AUX
cana-279	252	9	solves	solve	VERB
cana-279	252	10	complicated	complicated	ADJ
cana-279	252	11	optimization	optimization	NOUN
cana-279	252	12	problems	problem	NOUN
cana-279	252	13	,	,	PUNCT
cana-279	252	14	it	it	PRON
cana-279	252	15	is	be	AUX
cana-279	252	16	thoroughly	thoroughly	ADV
cana-279	252	17	tested	test	VERB
cana-279	252	18	using	use	VERB
cana-279	252	19	parameterized	parameterized	ADJ
cana-279	252	20	quantum	quantum	ADJ
cana-279	252	21	circuits	circuit	NOUN
cana-279	252	22	,	,	PUNCT
cana-279	252	23	quantum	quantum	NOUN
cana-279	252	24	gradient	gradient	NOUN
cana-279	252	25	information	information	NOUN
cana-279	252	26	,	,	PUNCT
cana-279	252	27	and	and	CCONJ
cana-279	252	28	conventional	conventional	ADJ
cana-279	252	29	optimization	optimization	NOUN
cana-279	252	30	techniques	technique	NOUN
cana-279	252	31	.	.	PUNCT
cana-279	253	1	the	the	DET
cana-279	253	2	algorithm	algorithm	NOUN
cana-279	253	3	's	's	PART
cana-279	253	4	practical	practical	ADJ
cana-279	253	5	viability	viability	NOUN
cana-279	253	6	can	can	AUX
cana-279	253	7	be	be	AUX
cana-279	253	8	evaluated	evaluate	VERB
cana-279	253	9	by	by	ADP
cana-279	253	10	combining	combine	VERB
cana-279	253	11	findings	finding	NOUN
cana-279	253	12	from	from	ADP
cana-279	253	13	different	different	ADJ
cana-279	253	14	analyses	analysis	NOUN
cana-279	253	15	and	and	CCONJ
cana-279	253	16	comparing	compare	VERB
cana-279	253	17	the	the	DET
cana-279	253	18	benefits	benefit	NOUN
cana-279	253	19	against	against	ADP
cana-279	253	20	any	any	DET
cana-279	253	21	drawbacks	drawback	NOUN
cana-279	253	22	.	.	PUNCT
cana-279	254	1	quantum	quantum	PROPN
cana-279	254	2	computing	computing	NOUN
cana-279	254	3	has	have	VERB
cana-279	254	4	the	the	DET
cana-279	254	5	ability	ability	NOUN
cana-279	254	6	to	to	PART
cana-279	254	7	transform	transform	VERB
cana-279	254	8	problem	problem	NOUN
cana-279	254	9	-	-	PUNCT
cana-279	254	10	solving	solve	VERB
cana-279	254	11	procedures	procedure	NOUN
cana-279	254	12	in	in	ADP
cana-279	254	13	various	various	ADJ
cana-279	254	14	domains	domain	NOUN
cana-279	254	15	,	,	PUNCT
cana-279	254	16	such	such	ADJ
cana-279	254	17	as	as	ADP
cana-279	254	18	machine	machine	NOUN
cana-279	254	19	learning	learning	NOUN
cana-279	254	20	and	and	CCONJ
cana-279	254	21	finance	finance	NOUN
cana-279	254	22	,	,	PUNCT
cana-279	254	23	and	and	CCONJ
cana-279	254	24	this	this	DET
cana-279	254	25	comprehensive	comprehensive	ADJ
cana-279	254	26	review	review	NOUN
cana-279	254	27	adds	add	VERB
cana-279	254	28	to	to	ADP
cana-279	254	29	our	our	PRON
cana-279	254	30	knowledge	knowledge	NOUN
cana-279	254	31	of	of	ADP
cana-279	254	32	its	its	PRON
cana-279	254	33	efficacy	efficacy	NOUN
cana-279	254	34	in	in	ADP
cana-279	254	35	nonlinear	nonlinear	ADJ
cana-279	254	36	optimization	optimization	NOUN
cana-279	254	37	.	.	PUNCT
cana-279	255	1	it	it	PRON
cana-279	255	2	promotes	promote	VERB
cana-279	255	3	progress	progress	NOUN
cana-279	255	4	in	in	ADP
cana-279	255	5	computational	computational	ADJ
cana-279	255	6	approaches	approach	NOUN
cana-279	255	7	.	.	PUNCT
cana-279	256	1	figure	figure	NOUN
cana-279	256	2	7(a	7(a	NUM
cana-279	256	3	):	):	PUNCT
cana-279	256	4	a	a	DET
cana-279	256	5	remarkable	remarkable	ADJ
cana-279	256	6	correlation	correlation	NOUN
cana-279	256	7	of	of	ADP
cana-279	256	8	98.3	98.3	NUM
cana-279	256	9	%	%	NOUN
cana-279	256	10	is	be	AUX
cana-279	256	11	shown	show	VERB
cana-279	256	12	in	in	ADP
cana-279	256	13	the	the	DET
cana-279	256	14	overall	overall	ADJ
cana-279	256	15	efficiency	efficiency	NOUN
cana-279	256	16	analysis	analysis	NOUN
cana-279	256	17	when	when	SCONJ
cana-279	256	18	compared	compare	VERB
cana-279	256	19	with	with	ADP
cana-279	256	20	the	the	DET
cana-279	256	21	hybrid	hybrid	ADJ
cana-279	256	22	quantum	quantum	NOUN
cana-279	256	23	gradient	gradient	NOUN
cana-279	256	24	classical	classical	ADJ
cana-279	256	25	approach	approach	NOUN
cana-279	256	26	(	(	PUNCT
cana-279	256	27	hqg	hqg	PROPN
cana-279	256	28	-	-	PROPN
cana-279	256	29	ca	ca	PROPN
cana-279	256	30	)	)	PUNCT
cana-279	256	31	.	.	PUNCT
cana-279	257	1	in	in	ADP
cana-279	257	2	figure	figure	NOUN
cana-279	257	3	7(b	7(b	NUM
cana-279	257	4	)	)	PUNCT
cana-279	257	5	,	,	PUNCT
cana-279	257	6	people	people	NOUN
cana-279	257	7	can	can	AUX
cana-279	257	8	see	see	VERB
cana-279	257	9	that	that	SCONJ
cana-279	257	10	there	there	PRON
cana-279	257	11	is	be	VERB
cana-279	257	12	a	a	DET
cana-279	257	13	significant	significant	ADJ
cana-279	257	14	correlation	correlation	NOUN
cana-279	257	15	of	of	ADP
cana-279	257	16	91.5	91.5	NUM
cana-279	257	17	%	%	NOUN
cana-279	257	18	between	between	ADP
cana-279	257	19	the	the	DET
cana-279	257	20	overall	overall	ADJ
cana-279	257	21	efficiency	efficiency	NOUN
cana-279	257	22	analysis	analysis	NOUN
cana-279	257	23	and	and	CCONJ
cana-279	257	24	the	the	DET
cana-279	257	25	individual	individual	ADJ
cana-279	257	26	quantum	quantum	NOUN
cana-279	257	27	approach	approach	NOUN
cana-279	257	28	(	(	PUNCT
cana-279	257	29	i	i	NOUN
cana-279	257	30	-	-	PUNCT
cana-279	257	31	qa	qa	PROPN
cana-279	257	32	)	)	PUNCT
cana-279	257	33	.	.	PUNCT
cana-279	258	1	overall	overall	ADJ
cana-279	258	2	efficiency	efficiency	NOUN
cana-279	258	3	,	,	PUNCT
cana-279	258	4	scalability	scalability	NOUN
cana-279	258	5	,	,	PUNCT
cana-279	258	6	accuracy	accuracy	NOUN
cana-279	258	7	,	,	PUNCT
cana-279	258	8	and	and	CCONJ
cana-279	258	9	algorithmic	algorithmic	ADJ
cana-279	258	10	speedup	speedup	NOUN
cana-279	258	11	evaluations	evaluation	NOUN
cana-279	258	12	all	all	DET
cana-279	258	13	point	point	VERB
cana-279	258	14	to	to	ADP
cana-279	258	15	the	the	DET
cana-279	258	16	suggested	suggest	VERB
cana-279	258	17	hybrid	hybrid	ADJ
cana-279	258	18	quantum	quantum	ADJ
cana-279	258	19	gradient	gradient	NOUN
cana-279	258	20	classical	classical	ADJ
cana-279	258	21	approach	approach	NOUN
cana-279	258	22	(	(	PUNCT
cana-279	258	23	hqg	hqg	PROPN
cana-279	258	24	-	-	PROPN
cana-279	258	25	ca	ca	PROPN
cana-279	258	26	)	)	PUNCT
cana-279	258	27	as	as	ADP
cana-279	258	28	the	the	DET
cana-279	258	29	most	most	ADV
cana-279	258	30	effective	effective	ADJ
cana-279	258	31	and	and	CCONJ
cana-279	258	32	flexible	flexible	ADJ
cana-279	258	33	approach	approach	NOUN
cana-279	258	34	.	.	PUNCT
cana-279	259	1	the	the	DET
cana-279	259	2	revolutionary	revolutionary	ADJ
cana-279	259	3	power	power	NOUN
cana-279	259	4	of	of	ADP
cana-279	259	5	quantum	quantum	NOUN
cana-279	259	6	computing	computing	NOUN
cana-279	259	7	in	in	ADP
cana-279	259	8	fields	field	NOUN
cana-279	259	9	of	of	ADP
cana-279	259	10	nonlinear	nonlinear	ADJ
cana-279	259	11	optimization	optimization	NOUN
cana-279	259	12	can	can	AUX
cana-279	259	13	be	be	AUX
cana-279	259	14	better	well	ADV
cana-279	259	15	understood	understand	VERB
cana-279	259	16	with	with	ADP
cana-279	259	17	the	the	DET
cana-279	259	18	help	help	NOUN
cana-279	259	19	of	of	ADP
cana-279	259	20	these	these	DET
cana-279	259	21	results	result	NOUN
cana-279	259	22	.	.	PUNCT
cana-279	260	1	5	5	X
cana-279	260	2	.	.	X
cana-279	260	3	conclusion	conclusion	NOUN
cana-279	260	4	the	the	DET
cana-279	260	5	proposed	propose	VERB
cana-279	260	6	hybrid	hybrid	ADJ
cana-279	260	7	quantum	quantum	ADJ
cana-279	260	8	gradient	gradient	NOUN
cana-279	260	9	-classical	-classical	ADJ
cana-279	260	10	approach	approach	NOUN
cana-279	260	11	(	(	PUNCT
cana-279	260	12	hqg	hqg	PROPN
cana-279	260	13	-	-	PUNCT
cana-279	260	14	ca	ca	PROPN
cana-279	260	15	)	)	PUNCT
cana-279	260	16	is	be	AUX
cana-279	260	17	an	an	DET
cana-279	260	18	important	important	ADJ
cana-279	260	19	step	step	NOUN
cana-279	260	20	toward	toward	ADP
cana-279	260	21	solving	solve	VERB
cana-279	260	22	the	the	DET
cana-279	260	23	increasingly	increasingly	ADV
cana-279	260	24	complex	complex	ADJ
cana-279	260	25	optimization	optimization	NOUN
cana-279	260	26	problems	problem	NOUN
cana-279	260	27	in	in	ADP
cana-279	260	28	the	the	DET
cana-279	260	29	real	real	ADJ
cana-279	260	30	world	world	NOUN
cana-279	260	31	,	,	PUNCT
cana-279	260	32	which	which	DET
cana-279	260	33	classical	classical	ADJ
cana-279	260	34	algorithms	algorithm	NOUN
cana-279	260	35	fail	fail	VERB
cana-279	260	36	to	to	PART
cana-279	260	37	efficiently	efficiently	ADV
cana-279	260	38	handle	handle	VERB
cana-279	260	39	.	.	PUNCT
cana-279	261	1	this	this	DET
cana-279	261	2	research	research	NOUN
cana-279	261	3	on	on	ADP
cana-279	261	4	quantum	quantum	NOUN
cana-279	261	5	computing	computing	NOUN
cana-279	261	6	algorithms	algorithm	NOUN
cana-279	261	7	for	for	ADP
cana-279	261	8	nonlinear	nonlinear	ADJ
cana-279	261	9	optimization	optimization	NOUN
cana-279	261	10	problems	problem	NOUN
cana-279	261	11	is	be	AUX
cana-279	261	12	a	a	DET
cana-279	261	13	major	major	ADJ
cana-279	261	14	step	step	NOUN
cana-279	261	15	in	in	ADP
cana-279	261	16	the	the	DET
cana-279	261	17	right	right	ADJ
cana-279	261	18	direction	direction	NOUN
cana-279	261	19	.	.	PUNCT
cana-279	262	1	the	the	DET
cana-279	262	2	utilization	utilization	NOUN
cana-279	262	3	of	of	ADP
cana-279	262	4	quantum	quantum	NOUN
cana-279	262	5	computing	computing	NOUN
cana-279	262	6	has	have	AUX
cana-279	262	7	been	be	AUX
cana-279	262	8	prompted	prompt	VERB
cana-279	262	9	by	by	ADP
cana-279	262	10	the	the	DET
cana-279	262	11	urgent	urgent	ADJ
cana-279	262	12	requirement	requirement	NOUN
cana-279	262	13	for	for	ADP
cana-279	262	14	novel	novel	ADJ
cana-279	262	15	and	and	CCONJ
cana-279	262	16	scalable	scalable	ADJ
cana-279	262	17	solutions	solution	NOUN
cana-279	262	18	to	to	ADP
cana-279	262	19	the	the	DET
cana-279	262	20	widespread	widespread	ADJ
cana-279	262	21	occurrence	occurrence	NOUN
cana-279	262	22	of	of	ADP
cana-279	262	23	nonlinear	nonlinear	ADJ
cana-279	262	24	optimization	optimization	NOUN
cana-279	262	25	problems	problem	NOUN
cana-279	262	26	in	in	ADP
cana-279	262	27	many	many	ADJ
cana-279	262	28	sectors	sector	NOUN
cana-279	262	29	.	.	PUNCT
cana-279	263	1	one	one	NUM
cana-279	263	2	innovative	innovative	ADJ
cana-279	263	3	approach	approach	NOUN
cana-279	263	4	to	to	ADP
cana-279	263	5	using	use	VERB
cana-279	263	6	quantum	quantum	NOUN
cana-279	263	7	parallelism	parallelism	NOUN
cana-279	263	8	for	for	ADP
cana-279	263	9	exploring	explore	VERB
cana-279	263	10	solution	solution	NOUN
cana-279	263	11	spaces	space	NOUN
cana-279	263	12	simultaneously	simultaneously	ADV
cana-279	263	13	is	be	AUX
cana-279	263	14	the	the	DET
cana-279	263	15	hqg	hqg	PROPN
cana-279	263	16	-	-	PROPN
cana-279	263	17	ca	ca	PROPN
cana-279	263	18	,	,	PUNCT
cana-279	263	19	which	which	PRON
cana-279	263	20	uses	use	VERB
cana-279	263	21	parameterized	parameterized	ADJ
cana-279	263	22	quantum	quantum	ADJ
cana-279	263	23	circuits	circuit	NOUN
cana-279	263	24	and	and	CCONJ
cana-279	263	25	quantum	quantum	NOUN
cana-279	263	26	gradient	gradient	NOUN
cana-279	263	27	information	information	NOUN
cana-279	263	28	.	.	PUNCT
cana-279	264	1	though	though	SCONJ
cana-279	264	2	groundbreaking	groundbreaking	NOUN
cana-279	264	3	,	,	PUNCT
cana-279	264	4	the	the	DET
cana-279	264	5	study	study	NOUN
cana-279	264	6	does	do	AUX
cana-279	264	7	note	note	VERB
cana-279	264	8	that	that	SCONJ
cana-279	264	9	maintaining	maintain	VERB
cana-279	264	10	quantum	quantum	ADJ
cana-279	264	11	coherence	coherence	NOUN
cana-279	264	12	,	,	PUNCT
cana-279	264	13	addressing	address	VERB
cana-279	264	14	errors	error	NOUN
cana-279	264	15	,	,	PUNCT
cana-279	264	16	and	and	CCONJ
cana-279	264	17	working	work	VERB
cana-279	264	18	within	within	ADP
cana-279	264	19	hardware	hardware	NOUN
cana-279	264	20	constraints	constraint	NOUN
cana-279	264	21	are	be	AUX
cana-279	264	22	all	all	PRON
cana-279	264	23	significant	significant	ADJ
cana-279	264	24	challenges	challenge	NOUN
cana-279	264	25	.	.	PUNCT
cana-279	265	1	the	the	DET
cana-279	265	2	remarkable	remarkable	ADJ
cana-279	265	3	capability	capability	NOUN
cana-279	265	4	of	of	ADP
cana-279	265	5	hqg	hqg	PROPN
cana-279	265	6	-	-	PUNCT
cana-279	265	7	ca	ca	NOUN
cana-279	265	8	to	to	PART
cana-279	265	9	solve	solve	VERB
cana-279	265	10	real	real	ADJ
cana-279	265	11	-	-	PUNCT
cana-279	265	12	world	world	NOUN
cana-279	265	13	optimization	optimization	NOUN
cana-279	265	14	issues	issue	NOUN
cana-279	265	15	is	be	AUX
cana-279	265	16	demonstrated	demonstrate	VERB
cana-279	265	17	by	by	ADP
cana-279	265	18	its	its	PRON
cana-279	265	19	numerous	numerous	ADJ
cana-279	265	20	applications	application	NOUN
cana-279	265	21	in	in	ADP
cana-279	265	22	finance	finance	NOUN
cana-279	265	23	,	,	PUNCT
cana-279	265	24	machine	machine	NOUN
cana-279	265	25	learning	learning	NOUN
cana-279	265	26	,	,	PUNCT
cana-279	265	27	and	and	CCONJ
cana-279	265	28	logistics	logistic	NOUN
cana-279	265	29	,	,	PUNCT
cana-279	265	30	which	which	PRON
cana-279	265	31	demonstrate	demonstrate	VERB
cana-279	265	32	its	its	PRON
cana-279	265	33	adaptability	adaptability	NOUN
cana-279	265	34	and	and	CCONJ
cana-279	265	35	usefulness	usefulness	NOUN
cana-279	265	36	.	.	PUNCT
cana-279	266	1	by	by	ADP
cana-279	266	2	comparing	compare	VERB
cana-279	266	3	hqg	hqg	PROPN
cana-279	266	4	-	-	PUNCT
cana-279	266	5	ca	ca	NOUN
cana-279	266	6	to	to	ADP
cana-279	266	7	classical	classical	ADJ
cana-279	266	8	alternatives	alternative	NOUN
cana-279	266	9	,	,	PUNCT
cana-279	266	10	extensive	extensive	ADJ
cana-279	266	11	simulation	simulation	NOUN
cana-279	266	12	experiments	experiment	NOUN
cana-279	266	13	show	show	VERB
cana-279	266	14	that	that	SCONJ
cana-279	266	15	it	it	PRON
cana-279	266	16	is	be	AUX
cana-279	266	17	more	more	ADV
cana-279	266	18	successful	successful	ADJ
cana-279	266	19	in	in	ADP
cana-279	266	20	terms	term	NOUN
cana-279	266	21	of	of	ADP
cana-279	266	22	algorithmic	algorithmic	ADJ
cana-279	266	23	speedup	speedup	NOUN
cana-279	266	24	,	,	PUNCT
cana-279	266	25	solution	solution	NOUN
cana-279	266	26	correctness	correctness	NOUN
cana-279	266	27	,	,	PUNCT
cana-279	266	28	and	and	CCONJ
cana-279	266	29	scalability	scalability	NOUN
cana-279	266	30	.	.	PUNCT
cana-279	267	1	this	this	DET
cana-279	267	2	study	study	NOUN
cana-279	267	3	provides	provide	VERB
cana-279	267	4	a	a	DET
cana-279	267	5	thorough	thorough	ADJ
cana-279	267	6	assessment	assessment	NOUN
cana-279	267	7	of	of	ADP
cana-279	267	8	hqg	hqg	PROPN
cana-279	267	9	-	-	PROPN
cana-279	267	10	ca	ca	PROPN
cana-279	267	11	and	and	CCONJ
cana-279	267	12	its	its	PRON
cana-279	267	13	potential	potential	NOUN
cana-279	267	14	to	to	PART
cana-279	267	15	solve	solve	VERB
cana-279	267	16	nonlinear	nonlinear	ADJ
cana-279	267	17	optimization	optimization	NOUN
cana-279	267	18	issues	issue	NOUN
cana-279	267	19	;	;	PUNCT
cana-279	267	20	it	it	PRON
cana-279	267	21	shows	show	VERB
cana-279	267	22	how	how	SCONJ
cana-279	267	23	quantum	quantum	ADJ
cana-279	267	24	computing	computing	NOUN
cana-279	267	25	can	can	AUX
cana-279	267	26	revolutionize	revolutionize	VERB
cana-279	267	27	the	the	DET
cana-279	267	28	way	way	NOUN
cana-279	267	29	people	people	NOUN
cana-279	267	30	approach	approach	VERB
cana-279	267	31	and	and	CCONJ
cana-279	267	32	solve	solve	VERB
cana-279	267	33	difficult	difficult	ADJ
cana-279	267	34	real	real	ADJ
cana-279	267	35	-	-	PUNCT
cana-279	267	36	world	world	NOUN
cana-279	267	37	problems	problem	NOUN
cana-279	267	38	.	.	PUNCT
cana-279	268	1	a	a	DET
cana-279	268	2	shining	shine	VERB
cana-279	268	3	example	example	NOUN
cana-279	268	4	of	of	ADP
cana-279	268	5	innovation	innovation	NOUN
cana-279	268	6	in	in	ADP
cana-279	268	7	the	the	DET
cana-279	268	8	rapidly	rapidly	ADV
cana-279	268	9	developing	develop	VERB
cana-279	268	10	field	field	NOUN
cana-279	268	11	of	of	ADP
cana-279	268	12	quantum	quantum	NOUN
cana-279	268	13	technologies	technology	NOUN
cana-279	268	14	,	,	PUNCT
cana-279	268	15	hqg	hqg	PROPN
cana-279	268	16	-	-	PUNCT
cana-279	268	17	ca	ca	PROPN
cana-279	268	18	is	be	AUX
cana-279	268	19	set	set	VERB
cana-279	268	20	to	to	PART
cana-279	268	21	revolutionize	revolutionize	VERB
cana-279	268	22	optimization	optimization	NOUN
cana-279	268	23	approaches	approach	NOUN
cana-279	268	24	and	and	CCONJ
cana-279	268	25	make	make	VERB
cana-279	268	26	substantial	substantial	ADJ
cana-279	268	27	contributions	contribution	NOUN
cana-279	268	28	to	to	PART
cana-279	268	29	progress	progress	VERB
cana-279	268	30	across	across	ADP
cana-279	268	31	a	a	DET
cana-279	268	32	wide	wide	ADJ
cana-279	268	33	range	range	NOUN
cana-279	268	34	of	of	ADP
cana-279	268	35	industries	industry	NOUN
cana-279	268	36	.	.	PUNCT
cana-279	269	1	references	reference	NOUN
cana-279	269	2	[	[	X
cana-279	269	3	1	1	NUM
cana-279	269	4	]	]	X
cana-279	269	5	lubasch	lubasch	ADJ
cana-279	269	6	,	,	PUNCT
cana-279	269	7	m.	m.	NOUN
cana-279	269	8	,	,	PUNCT
cana-279	269	9	joo	joo	PROPN
cana-279	269	10	,	,	PUNCT
cana-279	269	11	j.	j.	PROPN
cana-279	269	12	,	,	PUNCT
cana-279	269	13	moinier	moinier	NOUN
cana-279	269	14	,	,	PUNCT
cana-279	269	15	p.	p.	PROPN
cana-279	269	16	,	,	PUNCT
cana-279	269	17	kiffner	kiffner	NOUN
cana-279	269	18	,	,	PUNCT
cana-279	269	19	m.	m.	NOUN
cana-279	269	20	,	,	PUNCT
cana-279	269	21	&	&	CCONJ
cana-279	269	22	jaksch	jaksch	PROPN
cana-279	269	23	,	,	PUNCT
cana-279	269	24	d.	d.	PROPN
cana-279	269	25	(	(	PUNCT
cana-279	269	26	2020	2020	NUM
cana-279	269	27	)	)	PUNCT
cana-279	269	28	.	.	PUNCT
cana-279	270	1	variational	variational	ADJ
cana-279	270	2	quantum	quantum	NOUN
cana-279	270	3	algorithms	algorithm	NOUN
cana-279	270	4	for	for	ADP
cana-279	270	5	nonlinear	nonlinear	ADJ
cana-279	270	6	problems	problem	NOUN
cana-279	270	7	.	.	PUNCT
cana-279	271	1	physical	physical	ADJ
cana-279	271	2	review	review	PROPN
cana-279	271	3	a	a	PRON
cana-279	271	4	,	,	PUNCT
cana-279	271	5	101(1	101(1	NUM
cana-279	271	6	)	)	PUNCT
cana-279	271	7	,	,	PUNCT
cana-279	271	8	010301	010301	NUM
cana-279	271	9	.	.	PUNCT
cana-279	272	1	communications	communication	NOUN
cana-279	272	2	on	on	ADP
cana-279	272	3	applied	apply	VERB
cana-279	272	4	nonlinear	nonlinear	ADJ
cana-279	272	5	analysis	analysis	NOUN
cana-279	272	6	issn	issn	NOUN
cana-279	272	7	:	:	PUNCT
cana-279	272	8	1074	1074	NUM
cana-279	272	9	-	-	PUNCT
cana-279	272	10	133x	133x	NUM
cana-279	272	11	vol	vol	NOUN
cana-279	272	12	30	30	NUM
cana-279	272	13	no	no	NOUN
cana-279	272	14	.	.	NOUN
cana-279	272	15	4	4	NUM
cana-279	272	16	(	(	PUNCT
cana-279	272	17	2023	2023	NUM
cana-279	272	18	)	)	PUNCT
cana-279	272	19	15	15	NUM
cana-279	272	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-279	273	1	[	[	X
cana-279	273	2	2	2	NUM
cana-279	273	3	]	]	X
cana-279	273	4	emani	emani	NOUN
cana-279	273	5	,	,	PUNCT
cana-279	273	6	p.	p.	PROPN
cana-279	273	7	s.	s.	PROPN
cana-279	273	8	,	,	PUNCT
cana-279	273	9	warrell	warrell	PROPN
cana-279	273	10	,	,	PUNCT
cana-279	273	11	j.	j.	PROPN
cana-279	273	12	,	,	PUNCT
cana-279	273	13	anticevic	anticevic	PROPN
cana-279	273	14	,	,	PUNCT
cana-279	273	15	a.	a.	NOUN
cana-279	273	16	,	,	PUNCT
cana-279	273	17	bekiranov	bekiranov	PROPN
cana-279	273	18	,	,	PUNCT
cana-279	273	19	s.	s.	PROPN
cana-279	273	20	,	,	PUNCT
cana-279	273	21	gandal	gandal	ADJ
cana-279	273	22	,	,	PUNCT
cana-279	273	23	m.	m.	NOUN
cana-279	273	24	,	,	PUNCT
cana-279	273	25	mcconnell	mcconnell	PROPN
cana-279	273	26	,	,	PUNCT
cana-279	273	27	m.	m.	NOUN
cana-279	273	28	j.	j.	PROPN
cana-279	273	29	,	,	PUNCT
cana-279	273	30	...	...	PUNCT
cana-279	273	31	&	&	CCONJ
cana-279	273	32	harrow	harrow	PROPN
cana-279	273	33	,	,	PUNCT
cana-279	273	34	a.	a.	PROPN
cana-279	273	35	w.	w.	PROPN
cana-279	273	36	(	(	PUNCT
cana-279	273	37	2021	2021	NUM
cana-279	273	38	)	)	PUNCT
cana-279	273	39	.	.	PUNCT
cana-279	274	1	quantum	quantum	PROPN
cana-279	274	2	computing	computing	NOUN
cana-279	274	3	at	at	ADP
cana-279	274	4	the	the	DET
cana-279	274	5	frontiers	frontier	NOUN
cana-279	274	6	of	of	ADP
cana-279	274	7	biological	biological	ADJ
cana-279	274	8	sciences	science	NOUN
cana-279	274	9	.	.	PUNCT
cana-279	275	1	nature	nature	NOUN
cana-279	275	2	methods	method	NOUN
cana-279	275	3	,	,	PUNCT
cana-279	275	4	18(7	18(7	NUM
cana-279	275	5	)	)	PUNCT
cana-279	275	6	,	,	PUNCT
cana-279	275	7	701	701	NUM
cana-279	275	8	-	-	SYM
cana-279	275	9	709	709	NUM
cana-279	275	10	.	.	PUNCT
cana-279	276	1	[	[	X
cana-279	276	2	3	3	NUM
cana-279	276	3	]	]	X
cana-279	276	4	giani	giani	PROPN
cana-279	276	5	,	,	PUNCT
cana-279	276	6	a.	a.	PROPN
cana-279	276	7	,	,	PUNCT
cana-279	276	8	&	&	CCONJ
cana-279	276	9	eldredge	eldredge	PROPN
cana-279	276	10	,	,	PUNCT
cana-279	276	11	z.	z.	PROPN
cana-279	276	12	(	(	PUNCT
cana-279	276	13	2021	2021	NUM
cana-279	276	14	)	)	PUNCT
cana-279	276	15	.	.	PUNCT
cana-279	277	1	quantum	quantum	NOUN
cana-279	277	2	computing	compute	VERB
cana-279	277	3	opportunities	opportunity	NOUN
cana-279	277	4	in	in	ADP
cana-279	277	5	renewable	renewable	ADJ
cana-279	277	6	energy	energy	NOUN
cana-279	277	7	.	.	PUNCT
cana-279	278	1	sn	sn	PROPN
cana-279	278	2	computer	computer	NOUN
cana-279	278	3	science	science	NOUN
cana-279	278	4	,	,	PUNCT
cana-279	278	5	2(5	2(5	NUM
cana-279	278	6	)	)	PUNCT
cana-279	278	7	,	,	PUNCT
cana-279	278	8	393	393	NUM
cana-279	278	9	.	.	PUNCT
cana-279	279	1	[	[	X
cana-279	279	2	4	4	X
cana-279	279	3	]	]	X
cana-279	279	4	dodin	dodin	NOUN
cana-279	279	5	,	,	PUNCT
cana-279	279	6	i.	i.	PROPN
cana-279	279	7	y.	y.	PROPN
cana-279	279	8	,	,	PUNCT
cana-279	279	9	&	&	CCONJ
cana-279	279	10	startsev	startsev	PROPN
cana-279	279	11	,	,	PUNCT
cana-279	279	12	e.	e.	PROPN
cana-279	279	13	a.	a.	PROPN
cana-279	279	14	(	(	PUNCT
cana-279	279	15	2021	2021	NUM
cana-279	279	16	)	)	PUNCT
cana-279	279	17	.	.	PUNCT
cana-279	280	1	on	on	ADP
cana-279	280	2	applications	application	NOUN
cana-279	280	3	of	of	ADP
cana-279	280	4	quantum	quantum	NOUN
cana-279	280	5	computing	computing	NOUN
cana-279	280	6	to	to	ADP
cana-279	280	7	plasma	plasma	NOUN
cana-279	280	8	simulations	simulation	NOUN
cana-279	280	9	.	.	PUNCT
cana-279	281	1	physics	physic	NOUN
cana-279	281	2	of	of	ADP
cana-279	281	3	plasmas	plasma	NOUN
cana-279	281	4	,	,	PUNCT
cana-279	281	5	28(9	28(9	NOUN
cana-279	281	6	)	)	PUNCT
cana-279	281	7	.	.	PUNCT
cana-279	282	1	[	[	X
cana-279	282	2	5	5	NUM
cana-279	282	3	]	]	X
cana-279	282	4	herman	herman	NOUN
cana-279	282	5	,	,	PUNCT
cana-279	282	6	d.	d.	PROPN
cana-279	282	7	,	,	PUNCT
cana-279	282	8	googin	googin	VERB
cana-279	282	9	,	,	PUNCT
cana-279	282	10	c.	c.	PROPN
cana-279	282	11	,	,	PUNCT
cana-279	282	12	liu	liu	PROPN
cana-279	282	13	,	,	PUNCT
cana-279	282	14	x.	x.	NOUN
cana-279	282	15	,	,	PUNCT
cana-279	282	16	galda	galda	ADJ
cana-279	282	17	,	,	PUNCT
cana-279	282	18	a.	a.	NOUN
cana-279	282	19	,	,	PUNCT
cana-279	282	20	safro	safro	PROPN
cana-279	282	21	,	,	PUNCT
cana-279	282	22	i.	i.	NOUN
cana-279	282	23	,	,	PUNCT
cana-279	282	24	sun	sun	PROPN
cana-279	282	25	,	,	PUNCT
cana-279	282	26	y.	y.	PROPN
cana-279	282	27	,	,	PUNCT
cana-279	282	28	...	...	PUNCT
cana-279	282	29	&	&	CCONJ
cana-279	282	30	alexeev	alexeev	PROPN
cana-279	282	31	,	,	PUNCT
cana-279	282	32	y.	y.	PROPN
cana-279	282	33	(	(	PUNCT
cana-279	282	34	2022	2022	NUM
cana-279	282	35	)	)	PUNCT
cana-279	282	36	.	.	PUNCT
cana-279	283	1	a	a	DET
cana-279	283	2	survey	survey	NOUN
cana-279	283	3	of	of	ADP
cana-279	283	4	quantum	quantum	NOUN
cana-279	283	5	computing	computing	NOUN
cana-279	283	6	for	for	ADP
cana-279	283	7	finance	finance	NOUN
cana-279	283	8	.	.	PUNCT
cana-279	284	1	arxiv	arxiv	PROPN
cana-279	284	2	preprint	preprint	PROPN
cana-279	284	3	arxiv:2201.02773	arxiv:2201.02773	PROPN
cana-279	284	4	.	.	PUNCT
cana-279	285	1	[	[	X
cana-279	285	2	6	6	NUM
cana-279	285	3	]	]	SYM
cana-279	285	4	egger	egger	NOUN
cana-279	285	5	,	,	PUNCT
cana-279	285	6	d.	d.	PROPN
cana-279	285	7	j.	j.	PROPN
cana-279	285	8	,	,	PUNCT
cana-279	285	9	gambella	gambella	PROPN
cana-279	285	10	,	,	PUNCT
cana-279	285	11	c.	c.	PROPN
cana-279	285	12	,	,	PUNCT
cana-279	285	13	marecek	marecek	NOUN
cana-279	285	14	,	,	PUNCT
cana-279	285	15	j.	j.	PROPN
cana-279	285	16	,	,	PUNCT
cana-279	285	17	mcfaddin	mcfaddin	PROPN
cana-279	285	18	,	,	PUNCT
cana-279	285	19	s.	s.	PROPN
cana-279	285	20	,	,	PUNCT
cana-279	285	21	mevissen	mevissen	NOUN
cana-279	285	22	,	,	PUNCT
cana-279	285	23	m.	m.	NOUN
cana-279	285	24	,	,	PUNCT
cana-279	285	25	raymond	raymond	PROPN
cana-279	285	26	,	,	PUNCT
cana-279	285	27	r.	r.	PROPN
cana-279	285	28	,	,	PUNCT
cana-279	285	29	...	...	PUNCT
cana-279	285	30	&	&	CCONJ
cana-279	285	31	yndurain	yndurain	VERB
cana-279	285	32	,	,	PUNCT
cana-279	285	33	e.	e.	PROPN
cana-279	285	34	(	(	PUNCT
cana-279	285	35	2020	2020	NUM
cana-279	285	36	)	)	PUNCT
cana-279	285	37	.	.	PUNCT
cana-279	286	1	quantum	quantum	PROPN
cana-279	286	2	computing	computing	NOUN
cana-279	286	3	for	for	ADP
cana-279	286	4	finance	finance	NOUN
cana-279	286	5	:	:	PUNCT
cana-279	286	6	state	state	NOUN
cana-279	286	7	-	-	PUNCT
cana-279	286	8	of	of	ADP
cana-279	286	9	-	-	PUNCT
cana-279	286	10	the	the	DET
cana-279	286	11	-	-	PUNCT
cana-279	286	12	art	art	NOUN
cana-279	286	13	and	and	CCONJ
cana-279	286	14	future	future	ADJ
cana-279	286	15	prospects	prospect	NOUN
cana-279	286	16	.	.	PUNCT
cana-279	287	1	ieee	ieee	NOUN
cana-279	287	2	transactions	transaction	NOUN
cana-279	287	3	on	on	ADP
cana-279	287	4	quantum	quantum	ADJ
cana-279	287	5	engineering	engineering	NOUN
cana-279	287	6	,	,	PUNCT
cana-279	287	7	1	1	NUM
cana-279	287	8	,	,	PUNCT
cana-279	287	9	1	1	NUM
cana-279	287	10	-	-	SYM
cana-279	287	11	24	24	NUM
cana-279	287	12	.	.	PUNCT
cana-279	288	1	[	[	X
cana-279	288	2	7	7	X
cana-279	288	3	]	]	X
cana-279	288	4	ajagekar	ajagekar	NOUN
cana-279	288	5	,	,	PUNCT
cana-279	288	6	a.	a.	PROPN
cana-279	288	7	,	,	PUNCT
cana-279	288	8	&	&	CCONJ
cana-279	288	9	you	you	PRON
cana-279	288	10	,	,	PUNCT
cana-279	288	11	f.	f.	PROPN
cana-279	288	12	(	(	PUNCT
cana-279	288	13	2022	2022	NUM
cana-279	288	14	)	)	PUNCT
cana-279	288	15	.	.	PUNCT
cana-279	288	16	quantum	quantum	PROPN
cana-279	288	17	computing	computing	NOUN
cana-279	288	18	and	and	CCONJ
cana-279	288	19	quantum	quantum	ADJ
cana-279	288	20	artificial	artificial	ADJ
cana-279	288	21	intelligence	intelligence	NOUN
cana-279	288	22	for	for	ADP
cana-279	288	23	renewable	renewable	ADJ
cana-279	288	24	and	and	CCONJ
cana-279	288	25	sustainable	sustainable	ADJ
cana-279	288	26	energy	energy	NOUN
cana-279	288	27	:	:	PUNCT
cana-279	288	28	a	a	DET
cana-279	288	29	emerging	emerge	VERB
cana-279	288	30	prospect	prospect	NOUN
cana-279	288	31	towards	towards	ADP
cana-279	288	32	climate	climate	NOUN
cana-279	288	33	neutrality	neutrality	NOUN
cana-279	288	34	.	.	PUNCT
cana-279	289	1	renewable	renewable	ADJ
cana-279	289	2	and	and	CCONJ
cana-279	289	3	sustainable	sustainable	ADJ
cana-279	289	4	energy	energy	NOUN
cana-279	289	5	reviews	review	NOUN
cana-279	289	6	,	,	PUNCT
cana-279	289	7	165	165	NUM
cana-279	289	8	,	,	PUNCT
cana-279	289	9	112493	112493	NUM
cana-279	289	10	.	.	PUNCT
cana-279	290	1	[	[	X
cana-279	290	2	8	8	NUM
cana-279	290	3	]	]	X
cana-279	290	4	liu	liu	PROPN
cana-279	290	5	,	,	PUNCT
cana-279	290	6	z.	z.	PROPN
cana-279	290	7	,	,	PUNCT
cana-279	290	8	li	li	PROPN
cana-279	290	9	,	,	PUNCT
cana-279	290	10	s.	s.	PROPN
cana-279	290	11	,	,	PUNCT
cana-279	290	12	&	&	CCONJ
cana-279	290	13	ge	ge	PROPN
cana-279	290	14	,	,	PUNCT
cana-279	290	15	y.	y.	PROPN
cana-279	290	16	(	(	PUNCT
cana-279	290	17	2021	2021	NUM
cana-279	290	18	)	)	PUNCT
cana-279	290	19	.	.	PUNCT
cana-279	291	1	a	a	DET
cana-279	291	2	quantum	quantum	NOUN
cana-279	291	3	computing	computing	NOUN
cana-279	291	4	-	-	PUNCT
cana-279	291	5	based	base	VERB
cana-279	291	6	numerical	numerical	ADJ
cana-279	291	7	method	method	NOUN
cana-279	291	8	of	of	ADP
cana-279	291	9	mixedinteger	mixedinteger	NOUN
cana-279	291	10	optimal	optimal	ADJ
cana-279	291	11	control	control	NOUN
cana-279	291	12	problems	problem	NOUN
cana-279	291	13	under	under	ADP
cana-279	291	14	uncertainty	uncertainty	NOUN
cana-279	291	15	for	for	ADP
cana-279	291	16	alkali	alkali	ADJ
cana-279	291	17	–	–	PUNCT
cana-279	291	18	surfactant	surfactant	ADJ
cana-279	291	19	–	–	PUNCT
cana-279	291	20	polymer	polymer	NOUN
cana-279	291	21	flooding	flooding	NOUN
cana-279	291	22	.	.	PUNCT
cana-279	292	1	engineering	engineering	NOUN
cana-279	292	2	optimization	optimization	NOUN
cana-279	292	3	,	,	PUNCT
cana-279	292	4	53(3	53(3	NUM
cana-279	292	5	)	)	PUNCT
cana-279	292	6	,	,	PUNCT
cana-279	292	7	531	531	NUM
cana-279	292	8	-	-	SYM
cana-279	292	9	550	550	NUM
cana-279	292	10	.	.	PUNCT
cana-279	293	1	[	[	X
cana-279	293	2	9	9	NUM
cana-279	293	3	]	]	X
cana-279	293	4	biamonte	biamonte	X
cana-279	293	5	,	,	PUNCT
cana-279	293	6	j.	j.	PROPN
cana-279	293	7	(	(	PUNCT
cana-279	293	8	2021	2021	NUM
cana-279	293	9	)	)	PUNCT
cana-279	293	10	.	.	PUNCT
cana-279	294	1	universal	universal	ADJ
cana-279	294	2	variational	variational	ADJ
cana-279	294	3	quantum	quantum	NOUN
cana-279	294	4	computation	computation	NOUN
cana-279	294	5	.	.	PUNCT
cana-279	295	1	physical	physical	ADJ
cana-279	295	2	review	review	PROPN
cana-279	295	3	a	a	PRON
cana-279	295	4	,	,	PUNCT
cana-279	295	5	103(3	103(3	NUM
cana-279	295	6	)	)	PUNCT
cana-279	295	7	,	,	PUNCT
cana-279	295	8	l030401	l030401	NOUN
cana-279	295	9	.	.	PUNCT
cana-279	296	1	[	[	X
cana-279	296	2	10	10	NUM
cana-279	296	3	]	]	X
cana-279	296	4	khan	khan	PROPN
cana-279	296	5	,	,	PUNCT
cana-279	296	6	a.	a.	NOUN
cana-279	296	7	t.	t.	PROPN
cana-279	296	8	,	,	PUNCT
cana-279	296	9	cao	cao	PROPN
cana-279	296	10	,	,	PUNCT
cana-279	296	11	x.	x.	PROPN
cana-279	296	12	,	,	PUNCT
cana-279	296	13	li	li	PROPN
cana-279	296	14	,	,	PUNCT
cana-279	296	15	s.	s.	PROPN
cana-279	296	16	,	,	PUNCT
cana-279	296	17	hu	hu	PROPN
cana-279	296	18	,	,	PUNCT
cana-279	296	19	b.	b.	PROPN
cana-279	296	20	,	,	PUNCT
cana-279	296	21	&	&	CCONJ
cana-279	296	22	katsikis	katsikis	PROPN
cana-279	296	23	,	,	PUNCT
cana-279	296	24	v.	v.	ADP
cana-279	296	25	n.	n.	NOUN
cana-279	296	26	(	(	PUNCT
cana-279	296	27	2021	2021	NUM
cana-279	296	28	)	)	PUNCT
cana-279	296	29	.	.	PUNCT
cana-279	297	1	quantum	quantum	NOUN
cana-279	297	2	beetle	beetle	NOUN
cana-279	297	3	antennae	antennae	NOUN
cana-279	297	4	search	search	NOUN
cana-279	297	5	:	:	PUNCT
cana-279	297	6	a	a	DET
cana-279	297	7	novel	novel	ADJ
cana-279	297	8	technique	technique	NOUN
cana-279	297	9	for	for	ADP
cana-279	297	10	the	the	DET
cana-279	297	11	constrained	constrain	VERB
cana-279	297	12	portfolio	portfolio	NOUN
cana-279	297	13	optimization	optimization	NOUN
cana-279	297	14	problem	problem	NOUN
cana-279	297	15	.	.	PUNCT
cana-279	298	1	science	science	PROPN
cana-279	298	2	china	china	PROPN
cana-279	298	3	information	information	PROPN
cana-279	298	4	sciences	sciences	PROPN
cana-279	298	5	,	,	PUNCT
cana-279	298	6	64	64	NUM
cana-279	298	7	,	,	PUNCT
cana-279	298	8	1	1	NUM
cana-279	298	9	-	-	SYM
cana-279	298	10	14	14	NUM
cana-279	298	11	.	.	PUNCT
cana-279	299	1	[	[	X
cana-279	299	2	11	11	NUM
cana-279	299	3	]	]	PUNCT
cana-279	299	4	puneet	puneet	NOUN
cana-279	299	5	sharma	sharma	PROPN
cana-279	299	6	,	,	PUNCT
cana-279	299	7	&	&	CCONJ
cana-279	299	8	pawan	pawan	PROPN
cana-279	299	9	kumar	kumar	PROPN
cana-279	299	10	tiwari	tiwari	PROPN
cana-279	299	11	.	.	PUNCT
cana-279	299	12	(	(	PUNCT
cana-279	299	13	2023	2023	NUM
cana-279	299	14	)	)	PUNCT
cana-279	299	15	.	.	PUNCT
cana-279	300	1	numerical	numerical	PROPN
cana-279	300	2	simulation	simulation	PROPN
cana-279	300	3	of	of	ADP
cana-279	300	4	optimized	optimize	VERB
cana-279	300	5	placement	placement	NOUN
cana-279	300	6	of	of	ADP
cana-279	300	7	distibuted	distibute	VERB
cana-279	300	8	generators	generator	NOUN
cana-279	300	9	in	in	ADP
cana-279	300	10	standard	standard	ADJ
cana-279	300	11	radial	radial	ADJ
cana-279	300	12	distribution	distribution	NOUN
cana-279	300	13	system	system	NOUN
cana-279	300	14	using	use	VERB
cana-279	300	15	improved	improved	ADJ
cana-279	300	16	computations	computation	NOUN
cana-279	300	17	.	.	PUNCT
cana-279	301	1	international	international	ADJ
cana-279	301	2	journal	journal	PROPN
cana-279	301	3	on	on	ADP
cana-279	301	4	recent	recent	ADJ
cana-279	301	5	technologies	technology	NOUN
cana-279	301	6	in	in	ADP
cana-279	301	7	mechanical	mechanical	ADJ
cana-279	301	8	and	and	CCONJ
cana-279	301	9	electrical	electrical	ADJ
cana-279	301	10	engineering	engineering	NOUN
cana-279	301	11	,	,	PUNCT
cana-279	301	12	10(3	10(3	NUM
cana-279	301	13	)	)	PUNCT
cana-279	301	14	,	,	PUNCT
cana-279	301	15	10–17	10–17	NUM
cana-279	301	16	.	.	PUNCT
cana-279	302	1	[	[	X
cana-279	302	2	12	12	NUM
cana-279	302	3	]	]	SYM
cana-279	302	4	outeiral	outeiral	NOUN
cana-279	302	5	,	,	PUNCT
cana-279	302	6	c.	c.	PROPN
cana-279	302	7	,	,	PUNCT
cana-279	302	8	strahm	strahm	NOUN
cana-279	302	9	,	,	PUNCT
cana-279	302	10	m.	m.	NOUN
cana-279	302	11	,	,	PUNCT
cana-279	302	12	shi	shi	PROPN
cana-279	302	13	,	,	PUNCT
cana-279	302	14	j.	j.	PROPN
cana-279	302	15	,	,	PUNCT
cana-279	302	16	morris	morris	PROPN
cana-279	302	17	,	,	PUNCT
cana-279	302	18	g.	g.	PROPN
cana-279	302	19	m.	m.	PROPN
cana-279	302	20	,	,	PUNCT
cana-279	302	21	benjamin	benjamin	PROPN
cana-279	302	22	,	,	PUNCT
cana-279	302	23	s.	s.	PROPN
cana-279	302	24	c.	c.	PROPN
cana-279	302	25	,	,	PUNCT
cana-279	302	26	&	&	CCONJ
cana-279	302	27	deane	deane	PROPN
cana-279	302	28	,	,	PUNCT
cana-279	302	29	c.	c.	PROPN
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cana-279	302	31	(	(	PUNCT
cana-279	302	32	2021	2021	NUM
cana-279	302	33	)	)	PUNCT
cana-279	302	34	.	.	PUNCT
cana-279	303	1	the	the	DET
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cana-279	304	4	:	:	PUNCT
cana-279	304	5	computational	computational	ADJ
cana-279	304	6	molecular	molecular	ADJ
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cana-279	304	9	11(1	11(1	NUM
cana-279	304	10	)	)	PUNCT
cana-279	304	11	,	,	PUNCT
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cana-279	305	2	13	13	NUM
cana-279	305	3	]	]	PUNCT
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cana-279	305	5	,	,	PUNCT
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cana-279	305	26	,	,	PUNCT
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cana-279	305	31	computation	computation	NOUN
cana-279	305	32	in	in	ADP
cana-279	305	33	robotic	robotic	ADJ
cana-279	305	34	science	science	NOUN
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cana-279	305	36	applications	application	NOUN
cana-279	305	37	.	.	PUNCT
cana-279	306	1	in	in	ADP
cana-279	306	2	2019	2019	NUM
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cana-279	306	5	on	on	ADP
cana-279	306	6	robotics	robotic	NOUN
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cana-279	306	8	automation	automation	NOUN
cana-279	306	9	(	(	PUNCT
cana-279	306	10	icra	icra	PROPN
cana-279	306	11	)	)	PUNCT
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cana-279	306	16	-	-	SYM
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cana-279	306	18	)	)	PUNCT
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cana-279	308	3	]	]	SYM
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cana-279	308	5	,	,	PUNCT
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cana-279	308	7	,	,	PUNCT
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cana-279	308	9	,	,	PUNCT
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cana-279	308	12	&	&	CCONJ
cana-279	308	13	pichlmeier	pichlmeier	PROPN
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cana-279	308	16	(	(	PUNCT
cana-279	308	17	2021	2021	NUM
cana-279	308	18	)	)	PUNCT
cana-279	308	19	.	.	PUNCT
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cana-279	309	3	:	:	PUNCT
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cana-279	309	5	industry	industry	NOUN
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cana-279	309	7	problems	problem	NOUN
cana-279	309	8	.	.	PUNCT
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cana-279	310	3	,	,	PUNCT
cana-279	310	4	5	5	NUM
cana-279	310	5	,	,	PUNCT
cana-279	310	6	38	38	NUM
cana-279	310	7	-	-	SYM
cana-279	310	8	45	45	NUM
cana-279	310	9	.	.	PUNCT
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cana-279	311	3	]	]	X
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cana-279	311	5	,	,	PUNCT
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cana-279	311	7	,	,	PUNCT
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cana-279	311	9	,	,	PUNCT
cana-279	311	10	h.	h.	PROPN
cana-279	311	11	,	,	PUNCT
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cana-279	311	13	,	,	PUNCT
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cana-279	311	19	,	,	PUNCT
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cana-279	311	22	,	,	PUNCT
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cana-279	311	24	(	(	PUNCT
cana-279	311	25	2021	2021	NUM
cana-279	311	26	)	)	PUNCT
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cana-279	312	1	quantum	quantum	ADJ
cana-279	312	2	chaotic	chaotic	ADJ
cana-279	312	3	butterfly	butterfly	NOUN
cana-279	312	4	optimization	optimization	NOUN
cana-279	312	5	algorithm	algorithm	NOUN
cana-279	312	6	with	with	ADP
cana-279	312	7	ranking	rank	VERB
cana-279	312	8	strategy	strategy	NOUN
cana-279	312	9	for	for	ADP
cana-279	312	10	constrained	constrain	VERB
cana-279	312	11	optimization	optimization	NOUN
cana-279	312	12	problems	problem	NOUN
cana-279	312	13	.	.	PUNCT
cana-279	313	1	ieee	ieee	NOUN
cana-279	313	2	access	access	NOUN
cana-279	313	3	,	,	PUNCT
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cana-279	313	5	,	,	PUNCT
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cana-279	313	7	-	-	SYM
cana-279	313	8	114608	114608	NUM
cana-279	313	9	.	.	PUNCT
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cana-279	314	5	,	,	PUNCT
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cana-279	314	14	,	,	PUNCT
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cana-279	314	23	)	)	PUNCT
cana-279	314	24	.	.	PUNCT
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cana-279	315	12	.	.	PUNCT
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cana-279	316	2	,	,	PUNCT
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cana-279	316	4	,	,	PUNCT
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cana-279	316	6	.	.	PUNCT
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cana-279	317	3	]	]	SYM
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cana-279	317	5	,	,	PUNCT
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cana-279	317	9	)	)	PUNCT
cana-279	317	10	.	.	PUNCT
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cana-279	319	9	.	.	PUNCT
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cana-279	320	7	:	:	PUNCT
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cana-279	320	9	-	-	PUNCT
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cana-279	333	8	)	)	PUNCT
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cana-279	334	2	of	of	ADP
cana-279	334	3	artificial	artificial	ADJ
cana-279	334	4	intelligence	intelligence	NOUN
cana-279	334	5	in	in	ADP
cana-279	334	6	energy	energy	NOUN
cana-279	334	7	management	management	NOUN
cana-279	334	8	:	:	PUNCT
cana-279	334	9	acta	acta	PROPN
cana-279	334	10	energetica	energetica	PROPN
cana-279	334	11	insights	insight	NOUN
cana-279	334	12	.	.	PUNCT
cana-279	335	1	acta	acta	PROPN
cana-279	335	2	energetica	energetica	PROPN
cana-279	335	3	,	,	PUNCT
cana-279	335	4	(	(	PUNCT
cana-279	335	5	03	03	NUM
cana-279	335	6	)	)	PUNCT
cana-279	335	7	,	,	PUNCT
cana-279	335	8	29–35	29–35	NUM
cana-279	335	9	.	.	PUNCT
cana-279	336	1	[	[	X
cana-279	336	2	23	23	NUM
cana-279	336	3	]	]	X
cana-279	336	4	ramezani	ramezani	NOUN
cana-279	336	5	,	,	PUNCT
cana-279	336	6	s.	s.	PROPN
cana-279	336	7	b.	b.	PROPN
cana-279	336	8	,	,	PUNCT
cana-279	336	9	sommers	sommers	PROPN
cana-279	336	10	,	,	PUNCT
cana-279	336	11	a.	a.	NOUN
cana-279	336	12	,	,	PUNCT
cana-279	336	13	manchukonda	manchukonda	NOUN
cana-279	336	14	,	,	PUNCT
cana-279	336	15	h.	h.	PROPN
cana-279	336	16	k.	k.	PROPN
cana-279	336	17	,	,	PUNCT
cana-279	336	18	rahimi	rahimi	PROPN
cana-279	336	19	,	,	PUNCT
cana-279	336	20	s.	s.	PROPN
cana-279	336	21	,	,	PUNCT
cana-279	336	22	&	&	CCONJ
cana-279	336	23	amirlatifi	amirlatifi	PROPN
cana-279	336	24	,	,	PUNCT
cana-279	336	25	a.	a.	NOUN
cana-279	336	26	(	(	PUNCT
cana-279	336	27	2020	2020	NUM
cana-279	336	28	,	,	PUNCT
cana-279	336	29	july	july	PROPN
cana-279	336	30	)	)	PUNCT
cana-279	336	31	.	.	PUNCT
cana-279	337	1	machine	machine	NOUN
cana-279	337	2	learning	learn	VERB
cana-279	337	3	algorithms	algorithm	NOUN
cana-279	337	4	in	in	ADP
cana-279	337	5	quantum	quantum	ADJ
cana-279	337	6	computing	computing	NOUN
cana-279	337	7	:	:	PUNCT
cana-279	337	8	a	a	DET
cana-279	337	9	survey	survey	NOUN
cana-279	337	10	.	.	PUNCT
cana-279	338	1	in	in	ADP
cana-279	338	2	2020	2020	NUM
cana-279	338	3	international	international	ADJ
cana-279	338	4	joint	joint	ADJ
cana-279	338	5	conference	conference	NOUN
cana-279	338	6	on	on	ADP
cana-279	338	7	neural	neural	ADJ
cana-279	338	8	networks	network	NOUN
cana-279	338	9	(	(	PUNCT
cana-279	338	10	ijcnn	ijcnn	PROPN
cana-279	338	11	)	)	PUNCT
cana-279	338	12	(	(	PUNCT
cana-279	338	13	pp	pp	X
cana-279	338	14	.	.	PUNCT
cana-279	339	1	1	1	NUM
cana-279	339	2	-	-	SYM
cana-279	339	3	8)	8)	NUM
cana-279	339	4	.	.	PUNCT
cana-279	339	5	ieee	ieee	NOUN
cana-279	339	6	.	.	PUNCT
cana-279	340	1	[	[	X
cana-279	340	2	24	24	NUM
cana-279	340	3	]	]	X
cana-279	340	4	wang	wang	PROPN
cana-279	340	5	,	,	PUNCT
cana-279	340	6	y.	y.	PROPN
cana-279	340	7	,	,	PUNCT
cana-279	340	8	kim	kim	PROPN
cana-279	340	9	,	,	PUNCT
cana-279	340	10	j.	j.	PROPN
cana-279	340	11	e.	e.	PROPN
cana-279	340	12	,	,	PUNCT
cana-279	340	13	&	&	CCONJ
cana-279	340	14	suresh	suresh	PROPN
cana-279	340	15	,	,	PUNCT
cana-279	340	16	k.	k.	PROPN
cana-279	340	17	(	(	PUNCT
cana-279	340	18	2023	2023	NUM
cana-279	340	19	)	)	PUNCT
cana-279	340	20	.	.	PUNCT
cana-279	341	1	opportunities	opportunity	NOUN
cana-279	341	2	and	and	CCONJ
cana-279	341	3	challenges	challenge	NOUN
cana-279	341	4	of	of	ADP
cana-279	341	5	quantum	quantum	NOUN
cana-279	341	6	computing	computing	NOUN
cana-279	341	7	for	for	ADP
cana-279	341	8	engineering	engineering	NOUN
cana-279	341	9	optimization	optimization	NOUN
cana-279	341	10	.	.	PUNCT
cana-279	342	1	journal	journal	NOUN
cana-279	342	2	of	of	ADP
cana-279	342	3	computing	computing	NOUN
cana-279	342	4	and	and	CCONJ
cana-279	342	5	information	information	NOUN
cana-279	342	6	science	science	NOUN
cana-279	342	7	in	in	ADP
cana-279	342	8	engineering	engineering	NOUN
cana-279	342	9	,	,	PUNCT
cana-279	342	10	23(6	23(6	NUM
cana-279	342	11	)	)	PUNCT
cana-279	342	12	.	.	PUNCT
cana-279	343	1	[	[	X
cana-279	343	2	25	25	NUM
cana-279	343	3	]	]	PUNCT
cana-279	343	4	distributed	distribute	VERB
cana-279	343	5	attribute	attribute	NOUN
cana-279	343	6	-	-	PUNCT
cana-279	343	7	based	base	VERB
cana-279	343	8	encryption	encryption	NOUN
cana-279	343	9	with	with	ADP
cana-279	343	10	small	small	ADJ
cana-279	343	11	ciphertext	ciphertext	NOUN
cana-279	343	12	.	.	PUNCT
cana-279	344	1	(	(	PUNCT
cana-279	344	2	2023	2023	NUM
cana-279	344	3	)	)	PUNCT
cana-279	344	4	.	.	PUNCT
cana-279	345	1	advances	advance	NOUN
cana-279	345	2	in	in	ADP
cana-279	345	3	the	the	DET
cana-279	345	4	theory	theory	NOUN
cana-279	345	5	of	of	ADP
cana-279	345	6	nonlinear	nonlinear	ADJ
cana-279	345	7	analysis	analysis	NOUN
cana-279	345	8	and	and	CCONJ
cana-279	345	9	its	its	PRON
cana-279	345	10	application	application	NOUN
cana-279	345	11	,	,	PUNCT
cana-279	345	12	7(3	7(3	NUM
cana-279	345	13	)	)	PUNCT
cana-279	345	14	,	,	PUNCT
cana-279	345	15	30	30	NUM
cana-279	345	16	-	-	SYM
cana-279	345	17	44	44	NUM
cana-279	345	18	.	.	PUNCT