id	sid	tid	token	lemma	pos
bracis-19035	1	1	lackadaisical	lackadaisical	ADJ
bracis-19035	1	2	quantum	quantum	NOUN
bracis-19035	1	3	walk	walk	NOUN
bracis-19035	1	4	in	in	ADP
bracis-19035	1	5	the	the	DET
bracis-19035	1	6	hypercube	hypercube	NOUN
bracis-19035	1	7	to	to	PART
bracis-19035	1	8	search	search	VERB
bracis-19035	1	9	for	for	ADP
bracis-19035	1	10	multiple	multiple	ADJ
bracis-19035	1	11	marked	mark	VERB
bracis-19035	1	12	vertices	vertex	NOUN
bracis-19035	1	13	|	|	ADV
bracis-19035	1	14	springer	springer	NOUN
bracis-19035	1	15	nature	nature	NOUN
bracis-19035	1	16	link	link	PROPN
bracis-19035	1	17	(	(	PUNCT
bracis-19035	1	18	formerly	formerly	ADV
bracis-19035	1	19	springerlink	springerlink	NOUN
bracis-19035	1	20	)	)	PUNCT
bracis-19035	1	21	skip	skip	VERB
bracis-19035	1	22	to	to	ADP
bracis-19035	1	23	main	main	ADJ
bracis-19035	1	24	content	content	NOUN
bracis-19035	1	25	advertisement	advertisement	NOUN
bracis-19035	1	26	log	log	NOUN
bracis-19035	1	27	in	in	ADP
bracis-19035	1	28	menu	menu	NOUN
bracis-19035	1	29	find	find	VERB
bracis-19035	1	30	a	a	DET
bracis-19035	1	31	journal	journal	NOUN
bracis-19035	1	32	publish	publish	VERB
bracis-19035	1	33	with	with	ADP
bracis-19035	1	34	us	we	PRON
bracis-19035	1	35	track	track	VERB
bracis-19035	1	36	your	your	PRON
bracis-19035	1	37	research	research	NOUN
bracis-19035	1	38	search	search	NOUN
bracis-19035	1	39	cart	cart	NOUN
bracis-19035	1	40	home	home	NOUN
bracis-19035	1	41	intelligent	intelligent	ADJ
bracis-19035	1	42	systems	system	NOUN
bracis-19035	1	43	conference	conference	NOUN
bracis-19035	1	44	paper	paper	NOUN
bracis-19035	1	45	lackadaisical	lackadaisical	ADJ
bracis-19035	1	46	quantum	quantum	NOUN
bracis-19035	1	47	walk	walk	NOUN
bracis-19035	1	48	in	in	ADP
bracis-19035	1	49	the	the	DET
bracis-19035	1	50	hypercube	hypercube	NOUN
bracis-19035	1	51	to	to	PART
bracis-19035	1	52	search	search	VERB
bracis-19035	1	53	for	for	ADP
bracis-19035	1	54	multiple	multiple	ADJ
bracis-19035	1	55	marked	mark	VERB
bracis-19035	1	56	vertices	vertex	NOUN
bracis-19035	1	57	conference	conference	NOUN
bracis-19035	1	58	paper	paper	NOUN
bracis-19035	1	59	first	first	ADV
bracis-19035	1	60	online	online	ADV
bracis-19035	1	61	:	:	PUNCT
bracis-19035	1	62	28	28	NUM
bracis-19035	1	63	november	november	NOUN
bracis-19035	1	64	2021	2021	NUM
bracis-19035	1	65	pp	pp	ADP
bracis-19035	1	66	249–263	249–263	NUM
bracis-19035	1	67	cite	cite	VERB
bracis-19035	1	68	this	this	DET
bracis-19035	1	69	conference	conference	NOUN
bracis-19035	1	70	paper	paper	NOUN
bracis-19035	1	71	access	access	NOUN
bracis-19035	1	72	provided	provide	VERB
bracis-19035	1	73	by	by	ADP
bracis-19035	1	74	university	university	PROPN
bracis-19035	1	75	of	of	ADP
bracis-19035	1	76	notre	notre	PROPN
bracis-19035	1	77	dame	dame	PROPN
bracis-19035	1	78	hesburgh	hesburgh	PROPN
bracis-19035	1	79	library	library	PROPN
bracis-19035	1	80	download	download	PROPN
bracis-19035	1	81	book	book	NOUN
bracis-19035	1	82	pdf	pdf	PROPN
bracis-19035	1	83	download	download	NOUN
bracis-19035	1	84	book	book	NOUN
bracis-19035	1	85	epub	epub	PROPN
bracis-19035	1	86	intelligent	intelligent	ADJ
bracis-19035	1	87	systems	system	NOUN
bracis-19035	1	88	(	(	PUNCT
bracis-19035	1	89	bracis	bracis	NOUN
bracis-19035	1	90	2021	2021	NUM
bracis-19035	1	91	)	)	PUNCT
bracis-19035	1	92	lackadaisical	lackadaisical	ADJ
bracis-19035	1	93	quantum	quantum	NOUN
bracis-19035	1	94	walk	walk	NOUN
bracis-19035	1	95	in	in	ADP
bracis-19035	1	96	the	the	DET
bracis-19035	1	97	hypercube	hypercube	NOUN
bracis-19035	1	98	to	to	PART
bracis-19035	1	99	search	search	VERB
bracis-19035	1	100	for	for	ADP
bracis-19035	1	101	multiple	multiple	ADJ
bracis-19035	1	102	marked	mark	VERB
bracis-19035	1	103	vertices	vertex	NOUN
bracis-19035	1	104	download	download	NOUN
bracis-19035	1	105	book	book	NOUN
bracis-19035	1	106	pdf	pdf	PROPN
bracis-19035	1	107	download	download	NOUN
bracis-19035	1	108	book	book	PROPN
bracis-19035	1	109	epub	epub	PROPN
bracis-19035	1	110	luciano	luciano	PROPN
bracis-19035	1	111	s.	s.	PROPN
bracis-19035	1	112	de	de	PROPN
bracis-19035	1	113	souza	souza	PROPN
bracis-19035	1	114	  	  	SPACE
bracis-19035	1	115	orcid	orcid	NOUN
bracis-19035	1	116	:	:	PUNCT
bracis-19035	1	117	orcid.org/0000-0002-6527-706510	orcid.org/0000-0002-6527-706510	ADV
bracis-19035	1	118	,	,	PUNCT
bracis-19035	1	119	jonathan	jonathan	PROPN
bracis-19035	1	120	h.	h.	PROPN
bracis-19035	1	121	a.	a.	PROPN
bracis-19035	1	122	de	de	PROPN
bracis-19035	1	123	carvalho	carvalho	PROPN
bracis-19035	1	124	  	  	SPACE
bracis-19035	1	125	orcid	orcid	NOUN
bracis-19035	1	126	:	:	PUNCT
bracis-19035	1	127	orcid.org/0000-0002-2672-780111	orcid.org/0000-0002-2672-780111	PROPN
bracis-19035	1	128	&	&	CCONJ
bracis-19035	1	129	tiago	tiago	PROPN
bracis-19035	1	130	a.	a.	PROPN
bracis-19035	1	131	e.	e.	PROPN
bracis-19035	1	132	ferreira	ferreira	PROPN
bracis-19035	1	133	  	  	SPACE
bracis-19035	1	134	orcid	orcid	PROPN
bracis-19035	1	135	:	:	PUNCT
bracis-19035	1	136	orcid.org/0000-0002-2131-982510	orcid.org/0000-0002-2131-982510	NOUN
bracis-19035	1	137	  	  	SPACE
bracis-19035	1	138	part	part	NOUN
bracis-19035	1	139	of	of	ADP
bracis-19035	1	140	the	the	DET
bracis-19035	1	141	book	book	NOUN
bracis-19035	1	142	series	series	NOUN
bracis-19035	1	143	:	:	PUNCT
bracis-19035	1	144	lecture	lecture	NOUN
bracis-19035	1	145	notes	note	NOUN
bracis-19035	1	146	in	in	ADP
bracis-19035	1	147	computer	computer	NOUN
bracis-19035	1	148	science	science	NOUN
bracis-19035	1	149	(	(	PUNCT
bracis-19035	1	150	(	(	PUNCT
bracis-19035	1	151	lnai	lnai	ADJ
bracis-19035	1	152	,	,	PUNCT
bracis-19035	1	153	volume	volume	NOUN
bracis-19035	1	154	13073	13073	NUM
bracis-19035	1	155	)	)	PUNCT
bracis-19035	1	156	)	)	PUNCT
bracis-19035	1	157	included	include	VERB
bracis-19035	1	158	in	in	ADP
bracis-19035	1	159	the	the	DET
bracis-19035	1	160	following	follow	VERB
bracis-19035	1	161	conference	conference	NOUN
bracis-19035	1	162	series	series	NOUN
bracis-19035	1	163	:	:	PUNCT
bracis-19035	1	164	brazilian	brazilian	ADJ
bracis-19035	1	165	conference	conference	NOUN
bracis-19035	1	166	on	on	ADP
bracis-19035	1	167	intelligent	intelligent	ADJ
bracis-19035	1	168	systems	system	NOUN
bracis-19035	1	169	749	749	NUM
bracis-19035	1	170	accesses	access	VERB
bracis-19035	1	171	4	4	NUM
bracis-19035	1	172	citations	citation	NOUN
bracis-19035	1	173	abstract	abstract	ADJ
bracis-19035	1	174	adding	add	VERB
bracis-19035	1	175	self	self	NOUN
bracis-19035	1	176	-	-	PUNCT
bracis-19035	1	177	loops	loop	NOUN
bracis-19035	1	178	at	at	ADP
bracis-19035	1	179	each	each	DET
bracis-19035	1	180	vertex	vertex	NOUN
bracis-19035	1	181	of	of	ADP
bracis-19035	1	182	a	a	DET
bracis-19035	1	183	graph	graph	NOUN
bracis-19035	1	184	improves	improve	VERB
bracis-19035	1	185	the	the	DET
bracis-19035	1	186	performance	performance	NOUN
bracis-19035	1	187	of	of	ADP
bracis-19035	1	188	quantum	quantum	NOUN
bracis-19035	1	189	walks	walk	NOUN
bracis-19035	1	190	algorithms	algorithm	NOUN
bracis-19035	1	191	over	over	ADP
bracis-19035	1	192	loopless	loopless	NOUN
bracis-19035	1	193	algorithms	algorithm	NOUN
bracis-19035	1	194	.	.	PUNCT
bracis-19035	2	1	many	many	ADJ
bracis-19035	2	2	works	work	NOUN
bracis-19035	2	3	approach	approach	VERB
bracis-19035	2	4	quantum	quantum	NOUN
bracis-19035	2	5	walks	walk	NOUN
bracis-19035	2	6	to	to	PART
bracis-19035	2	7	search	search	VERB
bracis-19035	2	8	for	for	ADP
bracis-19035	2	9	a	a	DET
bracis-19035	2	10	single	single	ADJ
bracis-19035	2	11	marked	mark	VERB
bracis-19035	2	12	vertex	vertex	NOUN
bracis-19035	2	13	.	.	PUNCT
bracis-19035	3	1	in	in	ADP
bracis-19035	3	2	this	this	DET
bracis-19035	3	3	article	article	NOUN
bracis-19035	3	4	,	,	PUNCT
bracis-19035	3	5	we	we	PRON
bracis-19035	3	6	experimentally	experimentally	ADV
bracis-19035	3	7	address	address	VERB
bracis-19035	3	8	several	several	ADJ
bracis-19035	3	9	problems	problem	NOUN
bracis-19035	3	10	related	relate	VERB
bracis-19035	3	11	to	to	ADP
bracis-19035	3	12	quantum	quantum	ADJ
bracis-19035	3	13	walk	walk	NOUN
bracis-19035	3	14	in	in	ADP
bracis-19035	3	15	the	the	DET
bracis-19035	3	16	hypercube	hypercube	NOUN
bracis-19035	3	17	with	with	ADP
bracis-19035	3	18	self	self	NOUN
bracis-19035	3	19	-	-	PUNCT
bracis-19035	3	20	loops	loop	NOUN
bracis-19035	3	21	to	to	PART
bracis-19035	3	22	search	search	VERB
bracis-19035	3	23	for	for	ADP
bracis-19035	3	24	multiple	multiple	ADJ
bracis-19035	3	25	marked	mark	VERB
bracis-19035	3	26	vertices	vertex	NOUN
bracis-19035	3	27	.	.	PUNCT
bracis-19035	4	1	we	we	PRON
bracis-19035	4	2	first	first	ADV
bracis-19035	4	3	investigate	investigate	VERB
bracis-19035	4	4	the	the	DET
bracis-19035	4	5	quantum	quantum	ADJ
bracis-19035	4	6	walk	walk	NOUN
bracis-19035	4	7	in	in	ADP
bracis-19035	4	8	the	the	DET
bracis-19035	4	9	loopless	loopless	NOUN
bracis-19035	4	10	hypercube	hypercube	NOUN
bracis-19035	4	11	.	.	PUNCT
bracis-19035	5	1	we	we	PRON
bracis-19035	5	2	saw	see	VERB
bracis-19035	5	3	that	that	SCONJ
bracis-19035	5	4	neighbor	neighbor	NOUN
bracis-19035	5	5	vertices	vertex	NOUN
bracis-19035	5	6	are	be	AUX
bracis-19035	5	7	also	also	ADV
bracis-19035	5	8	amplified	amplify	VERB
bracis-19035	5	9	and	and	CCONJ
bracis-19035	5	10	that	that	SCONJ
bracis-19035	5	11	approximately	approximately	ADV
bracis-19035	5	12	1/2	1/2	NUM
bracis-19035	5	13	of	of	ADP
bracis-19035	5	14	the	the	DET
bracis-19035	5	15	system	system	NOUN
bracis-19035	5	16	energy	energy	NOUN
bracis-19035	5	17	is	be	AUX
bracis-19035	5	18	concentrated	concentrate	VERB
bracis-19035	5	19	in	in	ADP
bracis-19035	5	20	them	they	PRON
bracis-19035	5	21	.	.	PUNCT
bracis-19035	6	1	we	we	PRON
bracis-19035	6	2	show	show	VERB
bracis-19035	6	3	that	that	SCONJ
bracis-19035	6	4	the	the	DET
bracis-19035	6	5	optimal	optimal	ADJ
bracis-19035	6	6	value	value	NOUN
bracis-19035	6	7	of	of	ADP
bracis-19035	6	8	l	l	NOUN
bracis-19035	6	9	for	for	ADP
bracis-19035	6	10	a	a	DET
bracis-19035	6	11	single	single	ADJ
bracis-19035	6	12	marked	mark	VERB
bracis-19035	6	13	vertex	vertex	NOUN
bracis-19035	6	14	is	be	AUX
bracis-19035	6	15	not	not	PART
bracis-19035	6	16	optimal	optimal	ADJ
bracis-19035	6	17	for	for	ADP
bracis-19035	6	18	multiple	multiple	ADJ
bracis-19035	6	19	marked	mark	VERB
bracis-19035	6	20	vertices	vertex	NOUN
bracis-19035	6	21	.	.	PUNCT
bracis-19035	7	1	we	we	PRON
bracis-19035	7	2	define	define	VERB
bracis-19035	7	3	a	a	DET
bracis-19035	7	4	new	new	ADJ
bracis-19035	7	5	value	value	NOUN
bracis-19035	7	6	of	of	ADP
bracis-19035	7	7	\(l	\(l	NOUN
bracis-19035	7	8	=	=	SYM
bracis-19035	7	9	(	(	PUNCT
bracis-19035	7	10	n	n	CCONJ
bracis-19035	7	11	/	/	SYM
bracis-19035	7	12	n)\cdot	n)\cdot	ADV
bracis-19035	7	13	k\	k\	NOUN
bracis-19035	7	14	)	)	PUNCT
bracis-19035	7	15	to	to	PART
bracis-19035	7	16	search	search	VERB
bracis-19035	7	17	multiple	multiple	ADJ
bracis-19035	7	18	marked	mark	VERB
bracis-19035	7	19	vertices	vertex	NOUN
bracis-19035	7	20	.	.	PUNCT
bracis-19035	8	1	next	next	ADV
bracis-19035	8	2	,	,	PUNCT
bracis-19035	8	3	we	we	PRON
bracis-19035	8	4	use	use	VERB
bracis-19035	8	5	this	this	DET
bracis-19035	8	6	new	new	ADJ
bracis-19035	8	7	value	value	NOUN
bracis-19035	8	8	of	of	ADP
bracis-19035	8	9	l	l	NOUN
bracis-19035	8	10	found	find	VERB
bracis-19035	8	11	to	to	PART
bracis-19035	8	12	analyze	analyze	VERB
bracis-19035	8	13	the	the	DET
bracis-19035	8	14	search	search	NOUN
bracis-19035	8	15	for	for	ADP
bracis-19035	8	16	multiple	multiple	ADJ
bracis-19035	8	17	marked	mark	VERB
bracis-19035	8	18	vertices	vertex	NOUN
bracis-19035	8	19	non	non	ADJ
bracis-19035	8	20	-	-	ADJ
bracis-19035	8	21	adjacent	adjacent	ADJ
bracis-19035	8	22	and	and	CCONJ
bracis-19035	8	23	show	show	VERB
bracis-19035	8	24	that	that	SCONJ
bracis-19035	8	25	the	the	DET
bracis-19035	8	26	probability	probability	NOUN
bracis-19035	8	27	of	of	ADP
bracis-19035	8	28	success	success	NOUN
bracis-19035	8	29	is	be	AUX
bracis-19035	8	30	close	close	ADJ
bracis-19035	8	31	to	to	ADP
bracis-19035	8	32	1	1	NUM
bracis-19035	8	33	.	.	PUNCT
bracis-19035	9	1	we	we	PRON
bracis-19035	9	2	also	also	ADV
bracis-19035	9	3	use	use	VERB
bracis-19035	9	4	the	the	DET
bracis-19035	9	5	new	new	ADJ
bracis-19035	9	6	value	value	NOUN
bracis-19035	9	7	of	of	ADP
bracis-19035	9	8	l	l	NOUN
bracis-19035	9	9	found	find	VERB
bracis-19035	9	10	to	to	PART
bracis-19035	9	11	analyze	analyze	VERB
bracis-19035	9	12	the	the	DET
bracis-19035	9	13	search	search	NOUN
bracis-19035	9	14	for	for	ADP
bracis-19035	9	15	several	several	ADJ
bracis-19035	9	16	marked	mark	VERB
bracis-19035	9	17	vertices	vertex	NOUN
bracis-19035	9	18	that	that	PRON
bracis-19035	9	19	are	be	AUX
bracis-19035	9	20	adjacent	adjacent	ADJ
bracis-19035	9	21	and	and	CCONJ
bracis-19035	9	22	show	show	VERB
bracis-19035	9	23	that	that	SCONJ
bracis-19035	9	24	the	the	DET
bracis-19035	9	25	probability	probability	NOUN
bracis-19035	9	26	of	of	ADP
bracis-19035	9	27	success	success	NOUN
bracis-19035	9	28	is	be	AUX
bracis-19035	9	29	directly	directly	ADV
bracis-19035	9	30	proportional	proportional	ADJ
bracis-19035	9	31	to	to	ADP
bracis-19035	9	32	the	the	DET
bracis-19035	9	33	density	density	NOUN
bracis-19035	9	34	of	of	ADP
bracis-19035	9	35	marked	mark	VERB
bracis-19035	9	36	vertices	vertex	NOUN
bracis-19035	9	37	in	in	ADP
bracis-19035	9	38	the	the	DET
bracis-19035	9	39	neighborhood	neighborhood	NOUN
bracis-19035	9	40	.	.	PUNCT
bracis-19035	10	1	we	we	PRON
bracis-19035	10	2	also	also	ADV
bracis-19035	10	3	show	show	VERB
bracis-19035	10	4	that	that	SCONJ
bracis-19035	10	5	,	,	PUNCT
bracis-19035	10	6	in	in	ADP
bracis-19035	10	7	the	the	DET
bracis-19035	10	8	case	case	NOUN
bracis-19035	10	9	where	where	SCONJ
bracis-19035	10	10	neighbors	neighbor	NOUN
bracis-19035	10	11	are	be	AUX
bracis-19035	10	12	marked	mark	VERB
bracis-19035	10	13	,	,	PUNCT
bracis-19035	10	14	if	if	SCONJ
bracis-19035	10	15	there	there	PRON
bracis-19035	10	16	is	be	VERB
bracis-19035	10	17	at	at	ADV
bracis-19035	10	18	least	least	ADJ
bracis-19035	10	19	one	one	NUM
bracis-19035	10	20	non	non	ADJ
bracis-19035	10	21	-	-	ADJ
bracis-19035	10	22	adjacent	adjacent	ADJ
bracis-19035	10	23	marked	mark	VERB
bracis-19035	10	24	vertex	vertex	NOUN
bracis-19035	10	25	,	,	PUNCT
bracis-19035	10	26	the	the	DET
bracis-19035	10	27	probability	probability	NOUN
bracis-19035	10	28	of	of	ADP
bracis-19035	10	29	success	success	NOUN
bracis-19035	10	30	increases	increase	VERB
bracis-19035	10	31	to	to	PART
bracis-19035	10	32	close	close	VERB
bracis-19035	10	33	to	to	ADP
bracis-19035	10	34	1	1	NUM
bracis-19035	10	35	.	.	PUNCT
bracis-19035	11	1	the	the	DET
bracis-19035	11	2	results	result	NOUN
bracis-19035	11	3	found	find	VERB
bracis-19035	11	4	show	show	VERB
bracis-19035	11	5	that	that	SCONJ
bracis-19035	11	6	the	the	DET
bracis-19035	11	7	self	self	NOUN
bracis-19035	11	8	-	-	PUNCT
bracis-19035	11	9	loop	loop	NOUN
bracis-19035	11	10	value	value	NOUN
bracis-19035	11	11	for	for	ADP
bracis-19035	11	12	the	the	DET
bracis-19035	11	13	quantum	quantum	ADJ
bracis-19035	11	14	walk	walk	NOUN
bracis-19035	11	15	in	in	ADP
bracis-19035	11	16	the	the	DET
bracis-19035	11	17	hypercube	hypercube	NOUN
bracis-19035	11	18	to	to	PART
bracis-19035	11	19	search	search	VERB
bracis-19035	11	20	for	for	ADP
bracis-19035	11	21	several	several	ADJ
bracis-19035	11	22	marked	mark	VERB
bracis-19035	11	23	vertices	vertex	NOUN
bracis-19035	11	24	is	be	AUX
bracis-19035	11	25	\(l	\(l	NOUN
bracis-19035	11	26	=	=	SYM
bracis-19035	11	27	(	(	PUNCT
bracis-19035	11	28	n	n	CCONJ
bracis-19035	11	29	/	/	SYM
bracis-19035	11	30	n	n	CCONJ
bracis-19035	11	31	)	)	PUNCT
bracis-19035	11	32	\cdot	\cdot	NOUN
bracis-19035	11	33	k	k	NOUN
bracis-19035	11	34	\	\	PROPN
bracis-19035	11	35	)	)	PUNCT
bracis-19035	11	36	.	.	PUNCT
bracis-19035	12	1	acknowledgments	acknowledgment	NOUN
bracis-19035	12	2	to	to	ADP
bracis-19035	12	3	the	the	DET
bracis-19035	12	4	science	science	NOUN
bracis-19035	12	5	and	and	CCONJ
bracis-19035	12	6	technology	technology	NOUN
bracis-19035	12	7	support	support	NOUN
bracis-19035	12	8	foundation	foundation	NOUN
bracis-19035	12	9	of	of	ADP
bracis-19035	12	10	pernambuco	pernambuco	PROPN
bracis-19035	12	11	(	(	PUNCT
bracis-19035	12	12	facepe	facepe	NOUN
bracis-19035	12	13	)	)	PUNCT
bracis-19035	12	14	brazil	brazil	PROPN
bracis-19035	12	15	,	,	PUNCT
bracis-19035	12	16	brazilian	brazilian	ADJ
bracis-19035	12	17	national	national	PROPN
bracis-19035	12	18	council	council	PROPN
bracis-19035	12	19	for	for	ADP
bracis-19035	12	20	scientific	scientific	ADJ
bracis-19035	12	21	and	and	CCONJ
bracis-19035	12	22	technological	technological	ADJ
bracis-19035	12	23	development	development	NOUN
bracis-19035	12	24	(	(	PUNCT
bracis-19035	12	25	cnpq	cnpq	NOUN
bracis-19035	12	26	)	)	PUNCT
bracis-19035	12	27	,	,	PUNCT
bracis-19035	12	28	and	and	CCONJ
bracis-19035	12	29	coordenação	coordenação	PROPN
bracis-19035	12	30	de	de	PROPN
bracis-19035	12	31	aperfeiçoamento	aperfeiçoamento	PROPN
bracis-19035	12	32	de	de	X
bracis-19035	12	33	pessoal	pessoal	PROPN
bracis-19035	12	34	de	de	PROPN
bracis-19035	12	35	nível	nível	PROPN
bracis-19035	12	36	superior	superior	PROPN
bracis-19035	12	37	brasil	brasil	PROPN
bracis-19035	12	38	(	(	PUNCT
bracis-19035	12	39	capes	cape	NOUN
bracis-19035	12	40	)	)	PUNCT
bracis-19035	12	41	finance	finance	NOUN
bracis-19035	12	42	code	code	NOUN
bracis-19035	12	43	001	001	NUM
bracis-19035	12	44	by	by	ADP
bracis-19035	12	45	their	their	PRON
bracis-19035	12	46	financial	financial	ADJ
bracis-19035	12	47	support	support	NOUN
bracis-19035	12	48	to	to	ADP
bracis-19035	12	49	the	the	DET
bracis-19035	12	50	development	development	NOUN
bracis-19035	12	51	of	of	ADP
bracis-19035	12	52	this	this	DET
bracis-19035	12	53	research	research	NOUN
bracis-19035	12	54	.	.	PUNCT
bracis-19035	13	1	access	access	NOUN
bracis-19035	13	2	provided	provide	VERB
bracis-19035	13	3	by	by	ADP
bracis-19035	13	4	university	university	PROPN
bracis-19035	13	5	of	of	ADP
bracis-19035	13	6	notre	notre	PROPN
bracis-19035	13	7	dame	dame	PROPN
bracis-19035	13	8	hesburgh	hesburgh	PROPN
bracis-19035	13	9	library	library	PROPN
bracis-19035	13	10	.	.	PUNCT
bracis-19035	14	1	download	download	PROPN
bracis-19035	14	2	conference	conference	NOUN
bracis-19035	14	3	paper	paper	NOUN
bracis-19035	14	4	pdf	pdf	NOUN
bracis-19035	14	5	similar	similar	ADJ
bracis-19035	14	6	content	content	NOUN
bracis-19035	14	7	being	be	AUX
bracis-19035	14	8	viewed	view	VERB
bracis-19035	14	9	by	by	ADP
bracis-19035	14	10	others	other	NOUN
bracis-19035	14	11	lackadaisical	lackadaisical	ADJ
bracis-19035	14	12	quantum	quantum	NOUN
bracis-19035	14	13	walks	walk	NOUN
bracis-19035	14	14	with	with	ADP
bracis-19035	14	15	multiple	multiple	ADJ
bracis-19035	14	16	marked	mark	VERB
bracis-19035	14	17	vertices	vertex	NOUN
bracis-19035	14	18	chapter	chapter	NOUN
bracis-19035	14	19	©	©	PROPN
bracis-19035	14	20	2019	2019	NUM
bracis-19035	14	21	faster	fast	ADJ
bracis-19035	14	22	search	search	NOUN
bracis-19035	14	23	of	of	ADP
bracis-19035	14	24	clustered	clustered	ADJ
bracis-19035	14	25	marked	mark	VERB
bracis-19035	14	26	states	state	NOUN
bracis-19035	14	27	with	with	ADP
bracis-19035	14	28	lackadaisical	lackadaisical	ADJ
bracis-19035	14	29	quantum	quantum	NOUN
bracis-19035	14	30	walks	walk	NOUN
bracis-19035	14	31	article	article	NOUN
bracis-19035	14	32	13	13	NUM
bracis-19035	14	33	august	august	PROPN
bracis-19035	14	34	2022	2022	NUM
bracis-19035	14	35	adjacent	adjacent	ADJ
bracis-19035	14	36	vertices	vertex	NOUN
bracis-19035	14	37	can	can	AUX
bracis-19035	14	38	be	be	AUX
bracis-19035	14	39	hard	hard	ADJ
bracis-19035	14	40	to	to	PART
bracis-19035	14	41	find	find	VERB
bracis-19035	14	42	by	by	ADP
bracis-19035	14	43	quantum	quantum	NOUN
bracis-19035	14	44	walks	walk	NOUN
bracis-19035	14	45	chapter	chapter	NOUN
bracis-19035	14	46	©	©	PROPN
bracis-19035	14	47	2017	2017	NUM
bracis-19035	14	48	explore	explore	VERB
bracis-19035	14	49	related	relate	VERB
bracis-19035	14	50	subjects	subject	NOUN
bracis-19035	14	51	discover	discover	VERB
bracis-19035	14	52	the	the	DET
bracis-19035	14	53	latest	late	ADJ
bracis-19035	14	54	articles	article	NOUN
bracis-19035	14	55	,	,	PUNCT
bracis-19035	14	56	books	book	NOUN
bracis-19035	14	57	and	and	CCONJ
bracis-19035	14	58	news	news	NOUN
bracis-19035	14	59	in	in	ADP
bracis-19035	14	60	related	related	ADJ
bracis-19035	14	61	subjects	subject	NOUN
bracis-19035	14	62	,	,	PUNCT
bracis-19035	14	63	suggested	suggest	VERB
bracis-19035	14	64	using	use	VERB
bracis-19035	14	65	machine	machine	NOUN
bracis-19035	14	66	learning	learning	NOUN
bracis-19035	14	67	.	.	PUNCT
bracis-19035	15	1	algorithms	algorithms	PROPN
bracis-19035	15	2	combinatorial	combinatorial	ADJ
bracis-19035	15	3	geometry	geometry	NOUN
bracis-19035	15	4	data	data	NOUN
bracis-19035	15	5	structures	structure	NOUN
bracis-19035	15	6	graph	graph	NOUN
bracis-19035	15	7	theory	theory	NOUN
bracis-19035	15	8	quantum	quantum	NOUN
bracis-19035	15	9	computing	computing	NOUN
bracis-19035	15	10	qubits	qubit	NOUN
bracis-19035	15	11	1	1	NUM
bracis-19035	15	12	introduction	introduction	NOUN
bracis-19035	15	13	according	accord	VERB
bracis-19035	15	14	to	to	ADP
bracis-19035	15	15	shenvi	shenvi	ADJ
bracis-19035	15	16	,	,	PUNCT
bracis-19035	15	17	kempe	kempe	ADJ
bracis-19035	15	18	,	,	PUNCT
bracis-19035	15	19	and	and	CCONJ
bracis-19035	15	20	whaley	whaley	PROPN
bracis-19035	15	21	 	 	SPACE
bracis-19035	15	22	[	[	X
bracis-19035	15	23	17	17	NUM
bracis-19035	15	24	]	]	PUNCT
bracis-19035	15	25	,	,	PUNCT
bracis-19035	15	26	quantum	quantum	NOUN
bracis-19035	15	27	walks	walk	NOUN
bracis-19035	15	28	provide	provide	VERB
bracis-19035	15	29	one	one	NUM
bracis-19035	15	30	of	of	ADP
bracis-19035	15	31	the	the	DET
bracis-19035	15	32	most	most	ADV
bracis-19035	15	33	promising	promising	ADJ
bracis-19035	15	34	features	feature	NOUN
bracis-19035	15	35	,	,	PUNCT
bracis-19035	15	36	an	an	DET
bracis-19035	15	37	intuitive	intuitive	ADJ
bracis-19035	15	38	framework	framework	NOUN
bracis-19035	15	39	for	for	ADP
bracis-19035	15	40	building	build	VERB
bracis-19035	15	41	new	new	ADJ
bracis-19035	15	42	quantum	quantum	ADJ
bracis-19035	15	43	algorithms	algorithm	NOUN
bracis-19035	15	44	.	.	PUNCT
bracis-19035	16	1	they	they	PRON
bracis-19035	16	2	were	be	AUX
bracis-19035	16	3	pioneers	pioneer	NOUN
bracis-19035	16	4	in	in	ADP
bracis-19035	16	5	designing	design	VERB
bracis-19035	16	6	a	a	DET
bracis-19035	16	7	quantum	quantum	ADJ
bracis-19035	16	8	search	search	NOUN
bracis-19035	16	9	algorithm	algorithm	NOUN
bracis-19035	16	10	on	on	ADP
bracis-19035	16	11	the	the	DET
bracis-19035	16	12	hypercube	hypercube	NOUN
bracis-19035	16	13	based	base	VERB
bracis-19035	16	14	on	on	ADP
bracis-19035	16	15	quantum	quantum	ADJ
bracis-19035	16	16	random	random	ADJ
bracis-19035	16	17	walks	walk	NOUN
bracis-19035	16	18	[	[	X
bracis-19035	16	19	14	14	NUM
bracis-19035	16	20	]	]	PUNCT
bracis-19035	16	21	.	.	PUNCT
bracis-19035	17	1	recent	recent	ADJ
bracis-19035	17	2	works	work	NOUN
bracis-19035	17	3	have	have	AUX
bracis-19035	17	4	used	use	VERB
bracis-19035	17	5	the	the	DET
bracis-19035	17	6	quantum	quantum	NOUN
bracis-19035	17	7	walks	walk	NOUN
bracis-19035	17	8	to	to	PART
bracis-19035	17	9	search	search	VERB
bracis-19035	17	10	weights	weight	NOUN
bracis-19035	17	11	and	and	CCONJ
bracis-19035	17	12	train	train	VERB
bracis-19035	17	13	artificial	artificial	ADJ
bracis-19035	17	14	neural	neural	ADJ
bracis-19035	17	15	networks	network	NOUN
bracis-19035	17	16	[	[	X
bracis-19035	17	17	19	19	NUM
bracis-19035	17	18	,	,	PUNCT
bracis-19035	17	19	20	20	NUM
bracis-19035	17	20	]	]	PUNCT
bracis-19035	17	21	.	.	PUNCT
bracis-19035	18	1	the	the	DET
bracis-19035	18	2	topology	topology	NOUN
bracis-19035	18	3	of	of	ADP
bracis-19035	18	4	the	the	DET
bracis-19035	18	5	structure	structure	NOUN
bracis-19035	18	6	where	where	SCONJ
bracis-19035	18	7	the	the	DET
bracis-19035	18	8	walk	walk	NOUN
bracis-19035	18	9	is	be	AUX
bracis-19035	18	10	applied	apply	VERB
bracis-19035	18	11	considerably	considerably	ADV
bracis-19035	18	12	affects	affect	VERB
bracis-19035	18	13	the	the	DET
bracis-19035	18	14	evolution	evolution	NOUN
bracis-19035	18	15	of	of	ADP
bracis-19035	18	16	the	the	DET
bracis-19035	18	17	walker	walker	NOUN
bracis-19035	19	1	[	[	X
bracis-19035	19	2	22	22	NUM
bracis-19035	19	3	]	]	PUNCT
bracis-19035	19	4	.	.	PUNCT
bracis-19035	20	1	therefore	therefore	ADV
bracis-19035	20	2	,	,	PUNCT
bracis-19035	20	3	many	many	ADJ
bracis-19035	20	4	works	work	NOUN
bracis-19035	20	5	are	be	AUX
bracis-19035	20	6	developed	develop	VERB
bracis-19035	20	7	to	to	PART
bracis-19035	20	8	improve	improve	VERB
bracis-19035	20	9	the	the	DET
bracis-19035	20	10	performance	performance	NOUN
bracis-19035	20	11	of	of	ADP
bracis-19035	20	12	quantum	quantum	NOUN
bracis-19035	20	13	walks	walk	NOUN
bracis-19035	20	14	,	,	PUNCT
bracis-19035	20	15	quantum	quantum	ADJ
bracis-19035	20	16	search	search	NOUN
bracis-19035	20	17	algorithms	algorithm	NOUN
bracis-19035	20	18	in	in	ADP
bracis-19035	20	19	different	different	ADJ
bracis-19035	20	20	structures	structure	NOUN
bracis-19035	20	21	:	:	PUNCT
bracis-19035	20	22	one	one	NUM
bracis-19035	20	23	-	-	PUNCT
bracis-19035	20	24	dimensional	dimensional	ADJ
bracis-19035	20	25	,	,	PUNCT
bracis-19035	20	26	two	two	NUM
bracis-19035	20	27	-	-	PUNCT
bracis-19035	20	28	dimensional	dimensional	ADJ
bracis-19035	20	29	,	,	PUNCT
bracis-19035	20	30	and	and	CCONJ
bracis-19035	20	31	multidimensional	multidimensional	ADJ
bracis-19035	20	32	grids	grid	NOUN
bracis-19035	20	33	,	,	PUNCT
bracis-19035	20	34	complete	complete	ADJ
bracis-19035	20	35	and	and	CCONJ
bracis-19035	20	36	bipartite	bipartite	ADJ
bracis-19035	20	37	graphs	graph	NOUN
bracis-19035	20	38	,	,	PUNCT
bracis-19035	20	39	among	among	ADP
bracis-19035	20	40	others	other	NOUN
bracis-19035	21	1	[	[	X
bracis-19035	21	2	4	4	NUM
bracis-19035	21	3	,	,	PUNCT
bracis-19035	21	4	5	5	NUM
bracis-19035	21	5	,	,	PUNCT
bracis-19035	21	6	11	11	NUM
bracis-19035	21	7	,	,	PUNCT
bracis-19035	21	8	15	15	NUM
bracis-19035	21	9	]	]	PUNCT
bracis-19035	21	10	.	.	PUNCT
bracis-19035	22	1	quantum	quantum	PROPN
bracis-19035	22	2	walk	walk	NOUN
bracis-19035	22	3	modification	modification	NOUN
bracis-19035	22	4	proposals	proposal	NOUN
bracis-19035	22	5	are	be	AUX
bracis-19035	22	6	also	also	ADV
bracis-19035	22	7	made	make	VERB
bracis-19035	22	8	to	to	PART
bracis-19035	22	9	improve	improve	VERB
bracis-19035	22	10	their	their	PRON
bracis-19035	22	11	performance	performance	NOUN
bracis-19035	22	12	.	.	PUNCT
bracis-19035	23	1	for	for	ADP
bracis-19035	23	2	example	example	NOUN
bracis-19035	23	3	,	,	PUNCT
bracis-19035	23	4	wong	wong	PROPN
bracis-19035	23	5	 	 	SPACE
bracis-19035	23	6	[	[	X
bracis-19035	23	7	24	24	NUM
bracis-19035	23	8	]	]	PUNCT
bracis-19035	23	9	added	add	VERB
bracis-19035	23	10	to	to	ADP
bracis-19035	23	11	each	each	DET
bracis-19035	23	12	vertex	vertex	NOUN
bracis-19035	23	13	of	of	ADP
bracis-19035	23	14	a	a	DET
bracis-19035	23	15	two	two	NUM
bracis-19035	23	16	-	-	PUNCT
bracis-19035	23	17	dimensional	dimensional	ADJ
bracis-19035	23	18	grid	grid	NOUN
bracis-19035	23	19	a	a	DET
bracis-19035	23	20	self	self	NOUN
bracis-19035	23	21	-	-	PUNCT
bracis-19035	23	22	loop	loop	NOUN
bracis-19035	23	23	,	,	PUNCT
bracis-19035	23	24	so	so	SCONJ
bracis-19035	23	25	the	the	DET
bracis-19035	23	26	walker	walker	NOUN
bracis-19035	23	27	has	have	VERB
bracis-19035	23	28	some	some	DET
bracis-19035	23	29	probability	probability	NOUN
bracis-19035	23	30	of	of	ADP
bracis-19035	23	31	staying	stay	VERB
bracis-19035	23	32	put	put	NOUN
bracis-19035	23	33	,	,	PUNCT
bracis-19035	23	34	achieving	achieve	VERB
bracis-19035	23	35	an	an	DET
bracis-19035	23	36	improvement	improvement	NOUN
bracis-19035	23	37	over	over	ADP
bracis-19035	23	38	the	the	DET
bracis-19035	23	39	algorithm	algorithm	NOUN
bracis-19035	23	40	without	without	ADP
bracis-19035	23	41	self	self	NOUN
bracis-19035	23	42	-	-	PUNCT
bracis-19035	23	43	loop	loop	NOUN
bracis-19035	23	44	[	[	X
bracis-19035	23	45	3	3	NUM
bracis-19035	23	46	]	]	PUNCT
bracis-19035	23	47	.	.	PUNCT
bracis-19035	24	1	rhodes	rhode	NOUN
bracis-19035	24	2	 	 	SPACE
bracis-19035	25	1	[	[	X
bracis-19035	25	2	16	16	NUM
bracis-19035	25	3	]	]	PUNCT
bracis-19035	25	4	proposed	propose	VERB
bracis-19035	25	5	an	an	DET
bracis-19035	25	6	ideal	ideal	ADJ
bracis-19035	25	7	weight	weight	NOUN
bracis-19035	25	8	for	for	ADP
bracis-19035	25	9	all	all	DET
bracis-19035	25	10	vertex	vertex	NOUN
bracis-19035	25	11	-	-	PUNCT
bracis-19035	25	12	transitive	transitive	ADJ
bracis-19035	25	13	graphs	graph	NOUN
bracis-19035	25	14	with	with	ADP
bracis-19035	25	15	a	a	DET
bracis-19035	25	16	single	single	ADJ
bracis-19035	25	17	marked	mark	VERB
bracis-19035	25	18	vertex	vertex	NOUN
bracis-19035	25	19	such	such	ADJ
bracis-19035	25	20	that	that	SCONJ
bracis-19035	25	21	the	the	DET
bracis-19035	25	22	ideal	ideal	ADJ
bracis-19035	25	23	self	self	NOUN
bracis-19035	25	24	-	-	PUNCT
bracis-19035	25	25	loop	loop	NOUN
bracis-19035	25	26	weight	weight	NOUN
bracis-19035	25	27	is	be	AUX
bracis-19035	25	28	equal	equal	ADJ
bracis-19035	25	29	to	to	ADP
bracis-19035	25	30	the	the	DET
bracis-19035	25	31	degree	degree	NOUN
bracis-19035	25	32	of	of	ADP
bracis-19035	25	33	the	the	DET
bracis-19035	25	34	loopless	loopless	NOUN
bracis-19035	25	35	graph	graph	NOUN
bracis-19035	25	36	divided	divide	VERB
bracis-19035	25	37	by	by	ADP
bracis-19035	25	38	the	the	DET
bracis-19035	25	39	total	total	ADJ
bracis-19035	25	40	number	number	NOUN
bracis-19035	25	41	of	of	ADP
bracis-19035	25	42	vertices	vertex	NOUN
bracis-19035	25	43	.	.	PUNCT
bracis-19035	26	1	potovcek	potovcek	NOUN
bracis-19035	26	2	 	 	SPACE
bracis-19035	27	1	[	[	X
bracis-19035	27	2	14	14	NUM
bracis-19035	27	3	]	]	PUNCT
bracis-19035	27	4	observed	observe	VERB
bracis-19035	27	5	that	that	SCONJ
bracis-19035	27	6	the	the	DET
bracis-19035	27	7	nearest	near	ADJ
bracis-19035	27	8	neighbors	neighbor	NOUN
bracis-19035	27	9	are	be	AUX
bracis-19035	27	10	also	also	ADV
bracis-19035	27	11	presented	present	VERB
bracis-19035	27	12	with	with	ADP
bracis-19035	27	13	high	high	ADJ
bracis-19035	27	14	probability	probability	NOUN
bracis-19035	27	15	and	and	CCONJ
bracis-19035	27	16	nahimovs	nahimovs	NOUN
bracis-19035	27	17	 	 	SPACE
bracis-19035	28	1	[	[	X
bracis-19035	28	2	10	10	NUM
bracis-19035	28	3	]	]	PUNCT
bracis-19035	28	4	that	that	SCONJ
bracis-19035	28	5	adjacent	adjacent	ADJ
bracis-19035	28	6	vertices	vertex	NOUN
bracis-19035	28	7	can	can	AUX
bracis-19035	28	8	be	be	AUX
bracis-19035	28	9	hard	hard	ADJ
bracis-19035	28	10	to	to	PART
bracis-19035	28	11	find	find	VERB
bracis-19035	28	12	by	by	ADP
bracis-19035	28	13	quantum	quantum	NOUN
bracis-19035	28	14	walks	walk	NOUN
bracis-19035	28	15	.	.	PUNCT
bracis-19035	29	1	in	in	ADP
bracis-19035	29	2	this	this	DET
bracis-19035	29	3	way	way	NOUN
bracis-19035	29	4	,	,	PUNCT
bracis-19035	29	5	we	we	PRON
bracis-19035	29	6	investigate	investigate	VERB
bracis-19035	29	7	whether	whether	SCONJ
bracis-19035	29	8	the	the	DET
bracis-19035	29	9	optimal	optimal	ADJ
bracis-19035	29	10	value	value	NOUN
bracis-19035	29	11	of	of	ADP
bracis-19035	29	12	\(l	\(l	NOUN
bracis-19035	29	13	=	=	SYM
bracis-19035	29	14	(	(	PUNCT
bracis-19035	29	15	d	d	NOUN
bracis-19035	29	16	/	/	SYM
bracis-19035	29	17	n)\	n)\	PROPN
bracis-19035	29	18	)	)	PUNCT
bracis-19035	29	19	for	for	ADP
bracis-19035	29	20	a	a	DET
bracis-19035	29	21	single	single	ADJ
bracis-19035	29	22	marked	mark	VERB
bracis-19035	29	23	vertex	vertex	NOUN
bracis-19035	29	24	is	be	AUX
bracis-19035	29	25	optimal	optimal	ADJ
bracis-19035	29	26	for	for	ADP
bracis-19035	29	27	multiple	multiple	ADJ
bracis-19035	29	28	marked	mark	VERB
bracis-19035	29	29	vertices	vertex	NOUN
bracis-19035	29	30	,	,	PUNCT
bracis-19035	29	31	where	where	SCONJ
bracis-19035	29	32	d	d	NOUN
bracis-19035	29	33	is	be	AUX
bracis-19035	29	34	the	the	DET
bracis-19035	29	35	degree	degree	NOUN
bracis-19035	29	36	of	of	ADP
bracis-19035	29	37	the	the	DET
bracis-19035	29	38	loopless	loopless	NOUN
bracis-19035	29	39	vertex	vertex	NOUN
bracis-19035	29	40	and	and	CCONJ
bracis-19035	29	41	n	n	NOUN
bracis-19035	29	42	is	be	AUX
bracis-19035	29	43	the	the	DET
bracis-19035	29	44	number	number	NOUN
bracis-19035	29	45	of	of	ADP
bracis-19035	29	46	vertices	vertex	NOUN
bracis-19035	29	47	.	.	PUNCT
bracis-19035	30	1	we	we	PRON
bracis-19035	30	2	analyzed	analyze	VERB
bracis-19035	30	3	the	the	DET
bracis-19035	30	4	quantum	quantum	ADJ
bracis-19035	30	5	walk	walk	NOUN
bracis-19035	30	6	on	on	ADP
bracis-19035	30	7	hypercube	hypercube	NOUN
bracis-19035	30	8	without	without	ADP
bracis-19035	30	9	self	self	NOUN
bracis-19035	30	10	-	-	PUNCT
bracis-19035	30	11	loop	loop	NOUN
bracis-19035	30	12	and	and	CCONJ
bracis-19035	30	13	with	with	ADP
bracis-19035	30	14	self	self	NOUN
bracis-19035	30	15	-	-	PUNCT
bracis-19035	30	16	loop	loop	NOUN
bracis-19035	30	17	.	.	PUNCT
bracis-19035	31	1	we	we	PRON
bracis-19035	31	2	analyzed	analyze	VERB
bracis-19035	31	3	the	the	DET
bracis-19035	31	4	quantum	quantum	ADJ
bracis-19035	31	5	walk	walk	NOUN
bracis-19035	31	6	on	on	ADP
bracis-19035	31	7	the	the	DET
bracis-19035	31	8	hypercube	hypercube	NOUN
bracis-19035	31	9	for	for	ADP
bracis-19035	31	10	multiple	multiple	ADJ
bracis-19035	31	11	marked	mark	VERB
bracis-19035	31	12	adjacent	adjacent	ADJ
bracis-19035	31	13	and	and	CCONJ
bracis-19035	31	14	non	non	ADJ
bracis-19035	31	15	-	-	ADJ
bracis-19035	31	16	adjacent	adjacent	ADJ
bracis-19035	31	17	vertices	vertex	NOUN
bracis-19035	31	18	.	.	PUNCT
bracis-19035	32	1	finally	finally	ADV
bracis-19035	32	2	,	,	PUNCT
bracis-19035	32	3	we	we	PRON
bracis-19035	32	4	find	find	VERB
bracis-19035	32	5	an	an	DET
bracis-19035	32	6	optimal	optimal	ADJ
bracis-19035	32	7	value	value	NOUN
bracis-19035	32	8	of	of	ADP
bracis-19035	32	9	l	l	NOUN
bracis-19035	32	10	for	for	ADP
bracis-19035	32	11	a	a	DET
bracis-19035	32	12	quantum	quantum	ADJ
bracis-19035	32	13	walk	walk	NOUN
bracis-19035	32	14	in	in	ADP
bracis-19035	32	15	the	the	DET
bracis-19035	32	16	hypercube	hypercube	NOUN
bracis-19035	32	17	with	with	ADP
bracis-19035	32	18	multiple	multiple	ADJ
bracis-19035	32	19	marked	mark	VERB
bracis-19035	32	20	vertices	vertex	NOUN
bracis-19035	32	21	.	.	PUNCT
bracis-19035	33	1	this	this	DET
bracis-19035	33	2	paper	paper	NOUN
bracis-19035	33	3	is	be	AUX
bracis-19035	33	4	organized	organize	VERB
bracis-19035	33	5	as	as	SCONJ
bracis-19035	33	6	follows	follow	VERB
bracis-19035	33	7	.	.	PUNCT
bracis-19035	34	1	in	in	ADP
bracis-19035	34	2	sect	sect	NOUN
bracis-19035	34	3	.	.	PUNCT
bracis-19035	34	4	 	 	SPACE
bracis-19035	34	5	2	2	NUM
bracis-19035	34	6	,	,	PUNCT
bracis-19035	34	7	we	we	PRON
bracis-19035	34	8	present	present	VERB
bracis-19035	34	9	some	some	DET
bracis-19035	34	10	concepts	concept	NOUN
bracis-19035	34	11	about	about	ADP
bracis-19035	34	12	quantum	quantum	NOUN
bracis-19035	34	13	walks	walk	NOUN
bracis-19035	34	14	and	and	CCONJ
bracis-19035	34	15	specifically	specifically	ADV
bracis-19035	34	16	the	the	DET
bracis-19035	34	17	quantum	quantum	ADJ
bracis-19035	34	18	walk	walk	NOUN
bracis-19035	34	19	on	on	ADP
bracis-19035	34	20	the	the	DET
bracis-19035	34	21	hypercube	hypercube	NOUN
bracis-19035	34	22	.	.	PUNCT
bracis-19035	35	1	in	in	ADP
bracis-19035	35	2	sect	sect	NOUN
bracis-19035	35	3	.	.	PUNCT
bracis-19035	35	4	 	 	SPACE
bracis-19035	35	5	3	3	NUM
bracis-19035	35	6	,	,	PUNCT
bracis-19035	35	7	we	we	PRON
bracis-19035	35	8	characterize	characterize	VERB
bracis-19035	35	9	the	the	DET
bracis-19035	35	10	probability	probability	NOUN
bracis-19035	35	11	distribution	distribution	NOUN
bracis-19035	35	12	along	along	ADP
bracis-19035	35	13	with	with	ADP
bracis-19035	35	14	the	the	DET
bracis-19035	35	15	space	space	NOUN
bracis-19035	35	16	,	,	PUNCT
bracis-19035	35	17	adjust	adjust	VERB
bracis-19035	35	18	the	the	DET
bracis-19035	35	19	self	self	NOUN
bracis-19035	35	20	-	-	PUNCT
bracis-19035	35	21	loop	loop	NOUN
bracis-19035	35	22	weight	weight	NOUN
bracis-19035	35	23	for	for	ADP
bracis-19035	35	24	multiple	multiple	ADJ
bracis-19035	35	25	marked	mark	VERB
bracis-19035	35	26	vertices	vertex	NOUN
bracis-19035	35	27	,	,	PUNCT
bracis-19035	35	28	and	and	CCONJ
bracis-19035	35	29	search	search	VERB
bracis-19035	35	30	for	for	ADP
bracis-19035	35	31	adjacent	adjacent	ADJ
bracis-19035	35	32	marked	mark	VERB
bracis-19035	35	33	vertices	vertex	NOUN
bracis-19035	35	34	.	.	PUNCT
bracis-19035	36	1	finally	finally	ADV
bracis-19035	36	2	,	,	PUNCT
bracis-19035	36	3	in	in	ADP
bracis-19035	36	4	sect	sect	NOUN
bracis-19035	36	5	.	.	PUNCT
bracis-19035	36	6	 	 	SPACE
bracis-19035	36	7	4	4	NUM
bracis-19035	36	8	is	be	AUX
bracis-19035	36	9	the	the	DET
bracis-19035	36	10	conclusion	conclusion	NOUN
bracis-19035	36	11	.	.	PUNCT
bracis-19035	37	1	2	2	NUM
bracis-19035	37	2	quantum	quantum	NOUN
bracis-19035	37	3	walk	walk	VERB
bracis-19035	37	4	the	the	DET
bracis-19035	37	5	processing	processing	NOUN
bracis-19035	37	6	of	of	ADP
bracis-19035	37	7	quantum	quantum	ADJ
bracis-19035	37	8	information	information	NOUN
bracis-19035	37	9	is	be	AUX
bracis-19035	37	10	governed	govern	VERB
bracis-19035	37	11	by	by	ADP
bracis-19035	37	12	quantum	quantum	ADJ
bracis-19035	37	13	mechanics	mechanic	NOUN
bracis-19035	37	14	or	or	CCONJ
bracis-19035	37	15	quantum	quantum	NOUN
bracis-19035	37	16	physics	physics	NOUN
bracis-19035	37	17	[	[	X
bracis-19035	37	18	18	18	NUM
bracis-19035	37	19	]	]	PUNCT
bracis-19035	37	20	.	.	PUNCT
bracis-19035	38	1	quantum	quantum	PROPN
bracis-19035	38	2	computing	computing	NOUN
bracis-19035	38	3	study	study	NOUN
bracis-19035	38	4	the	the	DET
bracis-19035	38	5	processing	processing	NOUN
bracis-19035	38	6	of	of	ADP
bracis-19035	38	7	this	this	DET
bracis-19035	38	8	information	information	NOUN
bracis-19035	38	9	[	[	X
bracis-19035	38	10	8	8	NUM
bracis-19035	38	11	,	,	PUNCT
bracis-19035	38	12	13	13	NUM
bracis-19035	38	13	,	,	PUNCT
bracis-19035	38	14	25	25	NUM
bracis-19035	38	15	]	]	PUNCT
bracis-19035	38	16	.	.	PUNCT
bracis-19035	39	1	quantum	quantum	PROPN
bracis-19035	39	2	walks	walk	NOUN
bracis-19035	39	3	are	be	AUX
bracis-19035	39	4	the	the	DET
bracis-19035	39	5	quantum	quantum	ADJ
bracis-19035	39	6	counterpart	counterpart	NOUN
bracis-19035	39	7	of	of	ADP
bracis-19035	39	8	classical	classical	ADJ
bracis-19035	39	9	random	random	ADJ
bracis-19035	39	10	walks	walk	NOUN
bracis-19035	39	11	.	.	PUNCT
bracis-19035	40	1	discrete	discrete	ADJ
bracis-19035	40	2	and	and	CCONJ
bracis-19035	40	3	continuous	continuous	ADJ
bracis-19035	40	4	-	-	PUNCT
bracis-19035	40	5	time	time	NOUN
bracis-19035	40	6	quantum	quantum	NOUN
bracis-19035	40	7	walks	walk	NOUN
bracis-19035	40	8	are	be	AUX
bracis-19035	40	9	the	the	DET
bracis-19035	40	10	advanced	advanced	ADJ
bracis-19035	40	11	tools	tool	NOUN
bracis-19035	40	12	used	use	VERB
bracis-19035	40	13	to	to	PART
bracis-19035	40	14	build	build	VERB
bracis-19035	40	15	quantum	quantum	ADJ
bracis-19035	40	16	algorithms	algorithm	NOUN
bracis-19035	40	17	[	[	X
bracis-19035	40	18	1	1	NUM
bracis-19035	40	19	,	,	PUNCT
bracis-19035	40	20	2	2	NUM
bracis-19035	40	21	]	]	PUNCT
bracis-19035	40	22	.	.	PUNCT
bracis-19035	41	1	the	the	DET
bracis-19035	41	2	main	main	ADJ
bracis-19035	41	3	feature	feature	NOUN
bracis-19035	41	4	that	that	PRON
bracis-19035	41	5	differentiates	differentiate	VERB
bracis-19035	41	6	these	these	DET
bracis-19035	41	7	two	two	NUM
bracis-19035	41	8	types	type	NOUN
bracis-19035	41	9	of	of	ADP
bracis-19035	41	10	quantum	quantum	NOUN
bracis-19035	41	11	walks	walk	NOUN
bracis-19035	41	12	is	be	AUX
bracis-19035	41	13	the	the	DET
bracis-19035	41	14	timing	timing	NOUN
bracis-19035	41	15	used	use	VERB
bracis-19035	41	16	to	to	ADP
bracis-19035	41	17	applying	apply	VERB
bracis-19035	41	18	the	the	DET
bracis-19035	41	19	evolution	evolution	NOUN
bracis-19035	41	20	operators	operator	NOUN
bracis-19035	41	21	.	.	PUNCT
bracis-19035	42	1	in	in	ADP
bracis-19035	42	2	the	the	DET
bracis-19035	42	3	quantum	quantum	ADJ
bracis-19035	42	4	walk	walk	NOUN
bracis-19035	42	5	in	in	ADP
bracis-19035	42	6	continuous	continuous	ADJ
bracis-19035	42	7	time	time	NOUN
bracis-19035	42	8	,	,	PUNCT
bracis-19035	42	9	the	the	DET
bracis-19035	42	10	evolution	evolution	NOUN
bracis-19035	42	11	operator	operator	NOUN
bracis-19035	42	12	is	be	AUX
bracis-19035	42	13	applied	apply	VERB
bracis-19035	42	14	at	at	ADP
bracis-19035	42	15	any	any	DET
bracis-19035	42	16	time	time	NOUN
bracis-19035	42	17	,	,	PUNCT
bracis-19035	42	18	whereas	whereas	SCONJ
bracis-19035	42	19	the	the	DET
bracis-19035	42	20	quantum	quantum	NOUN
bracis-19035	42	21	walks	walk	VERB
bracis-19035	42	22	in	in	ADP
bracis-19035	42	23	discrete	discrete	ADJ
bracis-19035	42	24	time	time	NOUN
bracis-19035	42	25	,	,	PUNCT
bracis-19035	42	26	the	the	DET
bracis-19035	42	27	evolution	evolution	NOUN
bracis-19035	42	28	operator	operator	NOUN
bracis-19035	42	29	is	be	AUX
bracis-19035	42	30	applied	apply	VERB
bracis-19035	42	31	in	in	ADP
bracis-19035	42	32	discrete	discrete	ADJ
bracis-19035	42	33	time	time	NOUN
bracis-19035	42	34	steps	step	NOUN
bracis-19035	42	35	[	[	X
bracis-19035	42	36	21	21	NUM
bracis-19035	42	37	]	]	PUNCT
bracis-19035	42	38	.	.	PUNCT
bracis-19035	43	1	the	the	DET
bracis-19035	43	2	quantum	quantum	NOUN
bracis-19035	43	3	walk	walk	NOUN
bracis-19035	43	4	evolution	evolution	NOUN
bracis-19035	43	5	in	in	ADP
bracis-19035	43	6	the	the	DET
bracis-19035	43	7	discrete	discrete	ADJ
bracis-19035	43	8	-	-	PUNCT
bracis-19035	43	9	time	time	NOUN
bracis-19035	43	10	process	process	NOUN
bracis-19035	43	11	occurs	occur	VERB
bracis-19035	43	12	by	by	ADP
bracis-19035	43	13	the	the	DET
bracis-19035	43	14	successive	successive	ADJ
bracis-19035	43	15	applications	application	NOUN
bracis-19035	43	16	of	of	ADP
bracis-19035	43	17	a	a	DET
bracis-19035	43	18	unitary	unitary	ADJ
bracis-19035	43	19	evolution	evolution	NOUN
bracis-19035	43	20	operator	operator	NOUN
bracis-19035	43	21	u	u	NOUN
bracis-19035	43	22	that	that	PRON
bracis-19035	43	23	acts	act	VERB
bracis-19035	43	24	on	on	ADP
bracis-19035	43	25	the	the	DET
bracis-19035	43	26	hilbert	hilbert	PROPN
bracis-19035	43	27	space	space	NOUN
bracis-19035	43	28	$	$	SYM
bracis-19035	43	29	$	$	SYM
bracis-19035	43	30	\begin{aligned	\begin{aligne	VERB
bracis-19035	43	31	}	}	PUNCT
bracis-19035	43	32	\mathcal	\mathcal	ADJ
bracis-19035	43	33	{	{	PUNCT
bracis-19035	43	34	h	h	NOUN
bracis-19035	43	35	}	}	PUNCT
bracis-19035	43	36	=	=	PUNCT
bracis-19035	43	37	\mathcal	\mathcal	ADJ
bracis-19035	43	38	{	{	PUNCT
bracis-19035	43	39	h}^{c	h}^{c	PROPN
bracis-19035	43	40	}	}	PUNCT
bracis-19035	43	41	\otimes	\otimes	PROPN
bracis-19035	43	42	\mathcal	\mathcal	PROPN
bracis-19035	43	43	{	{	PUNCT
bracis-19035	43	44	h}^{s	h}^{s	PROPN
bracis-19035	43	45	}	}	PUNCT
bracis-19035	43	46	.	.	PUNCT
bracis-19035	44	1	\end{aligned}$$	\end{aligned}$$	PROPN
bracis-19035	45	1	the	the	DET
bracis-19035	45	2	coin	coin	NOUN
bracis-19035	45	3	space	space	NOUN
bracis-19035	45	4	\(\mathcal	\(\mathcal	ADJ
bracis-19035	45	5	{	{	PUNCT
bracis-19035	45	6	h}^{c}\	h}^{c}\	X
bracis-19035	45	7	)	)	PUNCT
bracis-19035	45	8	is	be	AUX
bracis-19035	45	9	the	the	DET
bracis-19035	45	10	hilbert	hilbert	NOUN
bracis-19035	45	11	space	space	NOUN
bracis-19035	45	12	associated	associate	VERB
bracis-19035	45	13	with	with	ADP
bracis-19035	45	14	a	a	DET
bracis-19035	45	15	quantum	quantum	ADJ
bracis-19035	45	16	coin	coin	NOUN
bracis-19035	45	17	,	,	PUNCT
bracis-19035	45	18	and	and	CCONJ
bracis-19035	45	19	the	the	DET
bracis-19035	45	20	walker	walker	NOUN
bracis-19035	45	21	’s	’s	PART
bracis-19035	45	22	space	space	NOUN
bracis-19035	45	23	\(\mathcal	\(\mathcal	X
bracis-19035	45	24	{	{	PUNCT
bracis-19035	45	25	h}^{s}\	h}^{s}\	NOUN
bracis-19035	45	26	)	)	PUNCT
bracis-19035	45	27	is	be	AUX
bracis-19035	45	28	the	the	DET
bracis-19035	45	29	hilbert	hilbert	NOUN
bracis-19035	45	30	space	space	NOUN
bracis-19035	45	31	associated	associate	VERB
bracis-19035	45	32	with	with	ADP
bracis-19035	45	33	the	the	DET
bracis-19035	45	34	position	position	NOUN
bracis-19035	45	35	of	of	ADP
bracis-19035	45	36	the	the	DET
bracis-19035	45	37	nodes	node	NOUN
bracis-19035	45	38	in	in	ADP
bracis-19035	45	39	a	a	DET
bracis-19035	45	40	graph	graph	NOUN
bracis-19035	45	41	,	,	PUNCT
bracis-19035	45	42	for	for	ADP
bracis-19035	45	43	example	example	NOUN
bracis-19035	45	44	.	.	PUNCT
bracis-19035	46	1	the	the	DET
bracis-19035	46	2	evolution	evolution	NOUN
bracis-19035	46	3	operator	operator	NOUN
bracis-19035	46	4	u	u	NOUN
bracis-19035	46	5	is	be	AUX
bracis-19035	46	6	defined	define	VERB
bracis-19035	46	7	in	in	ADP
bracis-19035	46	8	eq	eq	PROPN
bracis-19035	46	9	.	.	PUNCT
bracis-19035	46	10	 	 	SPACE
bracis-19035	47	1	1	1	NUM
bracis-19035	47	2	.	.	PUNCT
bracis-19035	47	3	$	$	SYM
bracis-19035	47	4	$	$	SYM
bracis-19035	47	5	\begin{aligned	\begin{aligne	VERB
bracis-19035	47	6	}	}	PUNCT
bracis-19035	47	7	u	u	NOUN
bracis-19035	47	8	=	=	NOUN
bracis-19035	47	9	s(c\otimes	s(c\otime	NOUN
bracis-19035	47	10	i_{n	i_{n	PROPN
bracis-19035	47	11	}	}	PUNCT
bracis-19035	47	12	)	)	PUNCT
bracis-19035	47	13	\end{aligned}$$	\end{aligned}$$	X
bracis-19035	48	1	(	(	PUNCT
bracis-19035	48	2	1	1	NUM
bracis-19035	48	3	)	)	PUNCT
bracis-19035	48	4	where	where	SCONJ
bracis-19035	48	5	,	,	PUNCT
bracis-19035	48	6	s	s	VERB
bracis-19035	48	7	is	be	AUX
bracis-19035	48	8	the	the	DET
bracis-19035	48	9	shift	shift	NOUN
bracis-19035	48	10	operator	operator	NOUN
bracis-19035	48	11	,	,	PUNCT
bracis-19035	48	12	i.e.	i.e.	X
bracis-19035	48	13	,	,	PUNCT
bracis-19035	48	14	a	a	DET
bracis-19035	48	15	permutation	permutation	NOUN
bracis-19035	48	16	matrix	matrix	NOUN
bracis-19035	48	17	that	that	PRON
bracis-19035	48	18	acts	act	VERB
bracis-19035	48	19	in	in	ADP
bracis-19035	48	20	the	the	DET
bracis-19035	48	21	walker	walker	NOUN
bracis-19035	48	22	’s	’s	PART
bracis-19035	48	23	space	space	NOUN
bracis-19035	48	24	based	base	VERB
bracis-19035	48	25	on	on	ADP
bracis-19035	48	26	the	the	DET
bracis-19035	48	27	state	state	NOUN
bracis-19035	48	28	of	of	ADP
bracis-19035	48	29	the	the	DET
bracis-19035	48	30	coin	coin	NOUN
bracis-19035	48	31	space	space	NOUN
bracis-19035	48	32	.	.	PUNCT
bracis-19035	49	1	the	the	DET
bracis-19035	49	2	unitary	unitary	ADJ
bracis-19035	49	3	matrix	matrix	NOUN
bracis-19035	49	4	c	c	NOUN
bracis-19035	49	5	is	be	AUX
bracis-19035	49	6	the	the	DET
bracis-19035	49	7	coin	coin	NOUN
bracis-19035	49	8	operator	operator	NOUN
bracis-19035	49	9	[	[	X
bracis-19035	49	10	17	17	NUM
bracis-19035	49	11	]	]	PUNCT
bracis-19035	49	12	.	.	PUNCT
bracis-19035	50	1	therefore	therefore	ADV
bracis-19035	50	2	,	,	PUNCT
bracis-19035	50	3	the	the	DET
bracis-19035	50	4	equation	equation	NOUN
bracis-19035	50	5	of	of	ADP
bracis-19035	50	6	evolution	evolution	NOUN
bracis-19035	50	7	represented	represent	VERB
bracis-19035	50	8	by	by	ADP
bracis-19035	50	9	a	a	DET
bracis-19035	50	10	quantum	quantum	ADJ
bracis-19035	50	11	walk	walk	NOUN
bracis-19035	50	12	at	at	ADP
bracis-19035	50	13	time	time	NOUN
bracis-19035	50	14	t	t	PROPN
bracis-19035	50	15	is	be	AUX
bracis-19035	50	16	given	give	VERB
bracis-19035	50	17	by	by	ADP
bracis-19035	50	18	2.1	2.1	NUM
bracis-19035	50	19	quantum	quantum	NOUN
bracis-19035	50	20	walk	walk	NOUN
bracis-19035	50	21	on	on	ADP
bracis-19035	50	22	the	the	DET
bracis-19035	50	23	hypercube	hypercube	NOUN
bracis-19035	50	24	according	accord	VERB
bracis-19035	50	25	to	to	ADP
bracis-19035	50	26	venegas	venegas	PROPN
bracis-19035	50	27	 	 	SPACE
bracis-19035	51	1	[	[	X
bracis-19035	51	2	21	21	NUM
bracis-19035	51	3	]	]	PUNCT
bracis-19035	51	4	,	,	PUNCT
bracis-19035	51	5	the	the	DET
bracis-19035	51	6	hypercube	hypercube	NOUN
bracis-19035	51	7	is	be	AUX
bracis-19035	51	8	defined	define	VERB
bracis-19035	51	9	as	as	ADP
bracis-19035	51	10	an	an	DET
bracis-19035	51	11	undirected	undirected	ADJ
bracis-19035	51	12	graph	graph	NOUN
bracis-19035	51	13	of	of	ADP
bracis-19035	51	14	degree	degree	NOUN
bracis-19035	51	15	n	n	NOUN
bracis-19035	51	16	and	and	CCONJ
bracis-19035	51	17	\(n	\(n	NOUN
bracis-19035	51	18	=	=	SYM
bracis-19035	51	19	2^{n}\	2^{n}\	NUM
bracis-19035	51	20	)	)	PUNCT
bracis-19035	51	21	nodes	node	NOUN
bracis-19035	51	22	.	.	PUNCT
bracis-19035	52	1	each	each	DET
bracis-19035	52	2	node	node	NOUN
bracis-19035	52	3	is	be	AUX
bracis-19035	52	4	represented	represent	VERB
bracis-19035	52	5	by	by	ADP
bracis-19035	52	6	an	an	DET
bracis-19035	52	7	n	n	NUM
bracis-19035	52	8	-	-	PUNCT
bracis-19035	52	9	bit	bit	NOUN
bracis-19035	52	10	binary	binary	ADJ
bracis-19035	52	11	string	string	NOUN
bracis-19035	52	12	.	.	PUNCT
bracis-19035	53	1	two	two	NUM
bracis-19035	53	2	nodes	node	NOUN
bracis-19035	53	3	\(\vec	\(\vec	X
bracis-19035	53	4	{	{	PUNCT
bracis-19035	53	5	x}\	x}\	PROPN
bracis-19035	53	6	)	)	PUNCT
bracis-19035	53	7	and	and	CCONJ
bracis-19035	53	8	\(\vec	\(\vec	NOUN
bracis-19035	53	9	{	{	PUNCT
bracis-19035	53	10	y}\	y}\	NOUN
bracis-19035	53	11	)	)	PUNCT
bracis-19035	53	12	are	be	AUX
bracis-19035	53	13	connected	connect	VERB
bracis-19035	53	14	by	by	ADP
bracis-19035	53	15	an	an	DET
bracis-19035	53	16	edge	edge	NOUN
bracis-19035	53	17	if	if	SCONJ
bracis-19035	53	18	the	the	DET
bracis-19035	53	19	hamming	hamming	NOUN
bracis-19035	53	20	distance	distance	NOUN
bracis-19035	53	21	between	between	ADP
bracis-19035	53	22	them	they	PRON
bracis-19035	53	23	is	be	AUX
bracis-19035	53	24	1	1	NUM
bracis-19035	53	25	,	,	PUNCT
bracis-19035	53	26	i.e.	i.e.	X
bracis-19035	53	27	,	,	PUNCT
bracis-19035	53	28	\(\left|	\(\left|	NOUN
bracis-19035	53	29	\vec	\vec	PROPN
bracis-19035	53	30	{	{	PUNCT
bracis-19035	53	31	x	x	NOUN
bracis-19035	53	32	}	}	PUNCT
bracis-19035	53	33	\vec	\vec	PROPN
bracis-19035	53	34	{	{	PUNCT
bracis-19035	53	35	y	y	PROPN
bracis-19035	53	36	}	}	PUNCT
bracis-19035	53	37	\right|	\right|	NOUN
bracis-19035	53	38	=	=	SYM
bracis-19035	53	39	1\	1\	NUM
bracis-19035	53	40	)	)	PUNCT
bracis-19035	53	41	.	.	PUNCT
bracis-19035	54	1	this	this	PRON
bracis-19035	54	2	means	mean	VERB
bracis-19035	54	3	that	that	SCONJ
bracis-19035	54	4	\(\vec	\(\vec	NOUN
bracis-19035	54	5	{	{	PUNCT
bracis-19035	54	6	x}\	x}\	PROPN
bracis-19035	54	7	)	)	PUNCT
bracis-19035	54	8	and	and	CCONJ
bracis-19035	54	9	\(\vec	\(\vec	NOUN
bracis-19035	54	10	{	{	PUNCT
bracis-19035	54	11	y}\	y}\	NOUN
bracis-19035	54	12	)	)	PUNCT
bracis-19035	54	13	only	only	ADV
bracis-19035	54	14	differ	differ	VERB
bracis-19035	54	15	in	in	ADP
bracis-19035	54	16	a	a	DET
bracis-19035	54	17	single	single	ADJ
bracis-19035	54	18	bit	bit	NOUN
bracis-19035	54	19	.	.	PUNCT
bracis-19035	55	1	the	the	DET
bracis-19035	55	2	expression	expression	NOUN
bracis-19035	55	3	\(\left|	\(\left|	NOUN
bracis-19035	55	4	\vec	\vec	PROPN
bracis-19035	55	5	{	{	PUNCT
bracis-19035	55	6	x	x	NOUN
bracis-19035	55	7	}	}	PUNCT
bracis-19035	55	8	\right|	\right|	PROPN
bracis-19035	55	9	\	\	PROPN
bracis-19035	55	10	)	)	PUNCT
bracis-19035	55	11	is	be	AUX
bracis-19035	55	12	the	the	DET
bracis-19035	55	13	hamming	hamming	ADJ
bracis-19035	55	14	weight	weight	NOUN
bracis-19035	55	15	of	of	ADP
bracis-19035	55	16	\(\vec	\(\vec	X
bracis-19035	55	17	{	{	PUNCT
bracis-19035	55	18	x}\	x}\	PROPN
bracis-19035	55	19	)	)	PUNCT
bracis-19035	55	20	.	.	PUNCT
bracis-19035	56	1	the	the	DET
bracis-19035	56	2	hilbert	hilbert	PROPN
bracis-19035	56	3	space	space	NOUN
bracis-19035	56	4	associated	associate	VERB
bracis-19035	56	5	with	with	ADP
bracis-19035	56	6	the	the	DET
bracis-19035	56	7	quantum	quantum	ADJ
bracis-19035	56	8	walk	walk	NOUN
bracis-19035	56	9	on	on	ADP
bracis-19035	56	10	the	the	DET
bracis-19035	56	11	hypercube	hypercube	NOUN
bracis-19035	56	12	is	be	AUX
bracis-19035	56	13	$	$	SYM
bracis-19035	56	14	$	$	SYM
bracis-19035	56	15	\begin{aligned	\begin{aligne	VERB
bracis-19035	56	16	}	}	PUNCT
bracis-19035	56	17	\mathcal	\mathcal	ADJ
bracis-19035	56	18	{	{	PUNCT
bracis-19035	56	19	h	h	NOUN
bracis-19035	56	20	}	}	PUNCT
bracis-19035	56	21	=	=	PUNCT
bracis-19035	56	22	\mathcal	\mathcal	PROPN
bracis-19035	56	23	{	{	PUNCT
bracis-19035	56	24	h}^{n	h}^{n	PROPN
bracis-19035	56	25	}	}	PUNCT
bracis-19035	56	26	\otimes	\otimes	PROPN
bracis-19035	56	27	\mathcal	\mathcal	PROPN
bracis-19035	56	28	{	{	PUNCT
bracis-19035	56	29	h}^{2^{n	h}^{2^{n	NOUN
bracis-19035	56	30	}	}	PUNCT
bracis-19035	56	31	}	}	PUNCT
bracis-19035	56	32	,	,	PUNCT
bracis-19035	56	33	\end{aligned}$$	\end{aligned}$$	VERB
bracis-19035	56	34	where	where	SCONJ
bracis-19035	56	35	\(\mathcal	\(\mathcal	ADJ
bracis-19035	56	36	{	{	PUNCT
bracis-19035	56	37	h}^{n}\	h}^{n}\	PROPN
bracis-19035	56	38	)	)	PUNCT
bracis-19035	56	39	is	be	AUX
bracis-19035	56	40	the	the	DET
bracis-19035	56	41	hilbert	hilbert	NOUN
bracis-19035	56	42	space	space	NOUN
bracis-19035	56	43	associated	associate	VERB
bracis-19035	56	44	with	with	ADP
bracis-19035	56	45	the	the	DET
bracis-19035	56	46	quantum	quantum	ADJ
bracis-19035	56	47	coin	coin	NOUN
bracis-19035	56	48	space	space	NOUN
bracis-19035	56	49	,	,	PUNCT
bracis-19035	56	50	and	and	CCONJ
bracis-19035	56	51	\(\mathcal	\(\mathcal	ADJ
bracis-19035	56	52	{	{	PUNCT
bracis-19035	56	53	h}^{2^{n}}\	h}^{2^{n}}\	NOUN
bracis-19035	56	54	)	)	PUNCT
bracis-19035	56	55	is	be	AUX
bracis-19035	56	56	the	the	DET
bracis-19035	56	57	hilbert	hilbert	NOUN
bracis-19035	56	58	space	space	NOUN
bracis-19035	56	59	associated	associate	VERB
bracis-19035	56	60	with	with	ADP
bracis-19035	56	61	nodes	node	NOUN
bracis-19035	56	62	on	on	ADP
bracis-19035	56	63	the	the	DET
bracis-19035	56	64	hypercube	hypercube	NOUN
bracis-19035	56	65	.	.	PUNCT
bracis-19035	57	1	according	accord	VERB
bracis-19035	57	2	to	to	ADP
bracis-19035	57	3	shenvi	shenvi	NOUN
bracis-19035	57	4	 	 	SPACE
bracis-19035	57	5	[	[	X
bracis-19035	57	6	17	17	NUM
bracis-19035	57	7	]	]	PUNCT
bracis-19035	57	8	,	,	PUNCT
bracis-19035	57	9	in	in	ADP
bracis-19035	57	10	a	a	DET
bracis-19035	57	11	d	d	ADJ
bracis-19035	57	12	-	-	ADJ
bracis-19035	57	13	dimensional	dimensional	ADJ
bracis-19035	57	14	hypercube	hypercube	NOUN
bracis-19035	57	15	,	,	PUNCT
bracis-19035	57	16	the	the	DET
bracis-19035	57	17	d	d	PROPN
bracis-19035	57	18	directions	direction	NOUN
bracis-19035	57	19	specify	specify	VERB
bracis-19035	57	20	the	the	DET
bracis-19035	57	21	coin	coin	NOUN
bracis-19035	57	22	state	state	NOUN
bracis-19035	57	23	.	.	PUNCT
bracis-19035	58	1	kempe	kempe	ADJ
bracis-19035	58	2	 	 	SPACE
bracis-19035	59	1	[	[	X
bracis-19035	59	2	7	7	NUM
bracis-19035	59	3	]	]	PUNCT
bracis-19035	59	4	defines	define	NOUN
bracis-19035	59	5	that	that	SCONJ
bracis-19035	59	6	directions	direction	NOUN
bracis-19035	59	7	can	can	AUX
bracis-19035	59	8	be	be	AUX
bracis-19035	59	9	labeled	label	VERB
bracis-19035	59	10	by	by	ADP
bracis-19035	59	11	the	the	DET
bracis-19035	59	12	n	n	CCONJ
bracis-19035	59	13	base	base	NOUN
bracis-19035	59	14	-	-	PUNCT
bracis-19035	59	15	vectors	vector	NOUN
bracis-19035	59	16	on	on	ADP
bracis-19035	59	17	the	the	DET
bracis-19035	59	18	hypercube	hypercube	NOUN
bracis-19035	59	19	which	which	PRON
bracis-19035	59	20	corresponding	correspond	VERB
bracis-19035	59	21	to	to	ADP
bracis-19035	59	22	the	the	DET
bracis-19035	59	23	n	n	PROPN
bracis-19035	59	24	vectors	vector	NOUN
bracis-19035	59	25	of	of	ADP
bracis-19035	59	26	hamming	ham	VERB
bracis-19035	59	27	weight	weight	NOUN
bracis-19035	59	28	1	1	NUM
bracis-19035	59	29	.	.	PUNCT
bracis-19035	60	1	these	these	DET
bracis-19035	60	2	n	n	NUM
bracis-19035	60	3	vectors	vector	NOUN
bracis-19035	60	4	are	be	AUX
bracis-19035	60	5	represented	represent	VERB
bracis-19035	60	6	by	by	ADP
bracis-19035	60	7	the	the	DET
bracis-19035	60	8	states	state	NOUN
bracis-19035	60	9	,	,	PUNCT
bracis-19035	60	10	where	where	SCONJ
bracis-19035	60	11	\(e_{d}\	\(e_{d}\	NOUN
bracis-19035	60	12	)	)	PUNCT
bracis-19035	60	13	has	have	VERB
bracis-19035	60	14	a	a	DET
bracis-19035	60	15	1	1	NUM
bracis-19035	60	16	in	in	ADP
bracis-19035	60	17	the	the	DET
bracis-19035	60	18	d	d	NOUN
bracis-19035	60	19	-	-	PUNCT
bracis-19035	60	20	th	th	VERB
bracis-19035	60	21	bit	bit	NOUN
bracis-19035	60	22	.	.	PUNCT
bracis-19035	61	1	the	the	DET
bracis-19035	61	2	shift	shift	NOUN
bracis-19035	61	3	operator	operator	NOUN
bracis-19035	61	4	s	s	VERB
bracis-19035	61	5	described	describe	VERB
bracis-19035	61	6	in	in	ADP
bracis-19035	61	7	eq	eq	PROPN
bracis-19035	61	8	.	.	PUNCT
bracis-19035	61	9	 	 	SPACE
bracis-19035	61	10	2	2	NUM
bracis-19035	61	11	acts	act	VERB
bracis-19035	61	12	mapping	map	VERB
bracis-19035	61	13	a	a	DET
bracis-19035	61	14	state	state	NOUN
bracis-19035	61	15	.	.	PUNCT
bracis-19035	62	1	(	(	PUNCT
bracis-19035	62	2	2	2	X
bracis-19035	62	3	)	)	PUNCT
bracis-19035	62	4	the	the	DET
bracis-19035	62	5	initial	initial	ADJ
bracis-19035	62	6	state	state	NOUN
bracis-19035	62	7	of	of	ADP
bracis-19035	62	8	the	the	DET
bracis-19035	62	9	quantum	quantum	ADJ
bracis-19035	62	10	walk	walk	NOUN
bracis-19035	62	11	in	in	ADP
bracis-19035	62	12	the	the	DET
bracis-19035	62	13	hypercube	hypercube	NOUN
bracis-19035	62	14	is	be	AUX
bracis-19035	62	15	defined	define	VERB
bracis-19035	62	16	according	accord	VERB
bracis-19035	62	17	to	to	ADP
bracis-19035	62	18	eq	eq	PROPN
bracis-19035	62	19	.	.	PUNCT
bracis-19035	62	20	 	 	SPACE
bracis-19035	62	21	3	3	NUM
bracis-19035	62	22	as	as	ADP
bracis-19035	62	23	an	an	DET
bracis-19035	62	24	equal	equal	ADJ
bracis-19035	62	25	superposition	superposition	NOUN
bracis-19035	62	26	over	over	ADP
bracis-19035	62	27	all	all	DET
bracis-19035	62	28	n	n	PRON
bracis-19035	62	29	nodes	node	NOUN
bracis-19035	62	30	and	and	CCONJ
bracis-19035	62	31	n	n	PRON
bracis-19035	62	32	directions	direction	NOUN
bracis-19035	62	33	.	.	PUNCT
bracis-19035	63	1	(	(	PUNCT
bracis-19035	63	2	3	3	X
bracis-19035	63	3	)	)	PUNCT
bracis-19035	63	4	according	accord	VERB
bracis-19035	63	5	to	to	ADP
bracis-19035	63	6	rhodes	rhode	NOUN
bracis-19035	63	7	 	 	SPACE
bracis-19035	64	1	[	[	X
bracis-19035	64	2	16	16	NUM
bracis-19035	64	3	]	]	PUNCT
bracis-19035	64	4	,	,	PUNCT
bracis-19035	64	5	the	the	DET
bracis-19035	64	6	hypercube	hypercube	NOUN
bracis-19035	64	7	was	be	AUX
bracis-19035	64	8	the	the	DET
bracis-19035	64	9	first	first	ADJ
bracis-19035	64	10	graph	graph	NOUN
bracis-19035	64	11	in	in	ADP
bracis-19035	64	12	which	which	PRON
bracis-19035	64	13	quantum	quantum	NOUN
bracis-19035	64	14	walks	walk	NOUN
bracis-19035	64	15	were	be	AUX
bracis-19035	64	16	researched	research	VERB
bracis-19035	64	17	.	.	PUNCT
bracis-19035	65	1	in	in	ADP
bracis-19035	65	2	their	their	PRON
bracis-19035	65	3	work	work	NOUN
bracis-19035	65	4	,	,	PUNCT
bracis-19035	65	5	shenvi	shenvi	NOUN
bracis-19035	65	6	 	 	SPACE
bracis-19035	66	1	[	[	X
bracis-19035	66	2	17	17	NUM
bracis-19035	66	3	]	]	PUNCT
bracis-19035	66	4	presented	present	VERB
bracis-19035	66	5	a	a	DET
bracis-19035	66	6	quantum	quantum	ADJ
bracis-19035	66	7	search	search	NOUN
bracis-19035	66	8	algorithm	algorithm	NOUN
bracis-19035	66	9	based	base	VERB
bracis-19035	66	10	on	on	ADP
bracis-19035	66	11	the	the	DET
bracis-19035	66	12	random	random	ADJ
bracis-19035	66	13	walk	walk	NOUN
bracis-19035	66	14	quantum	quantum	NOUN
bracis-19035	66	15	architecture	architecture	NOUN
bracis-19035	66	16	.	.	PUNCT
bracis-19035	67	1	in	in	ADP
bracis-19035	67	2	this	this	DET
bracis-19035	67	3	article	article	NOUN
bracis-19035	67	4	,	,	PUNCT
bracis-19035	67	5	we	we	PRON
bracis-19035	67	6	are	be	AUX
bracis-19035	67	7	based	base	VERB
bracis-19035	67	8	on	on	ADP
bracis-19035	67	9	the	the	DET
bracis-19035	67	10	approach	approach	NOUN
bracis-19035	67	11	used	use	VERB
bracis-19035	67	12	by	by	ADP
bracis-19035	67	13	wong	wong	PROPN
bracis-19035	67	14	 	 	SPACE
bracis-19035	67	15	[	[	X
bracis-19035	67	16	24	24	NUM
bracis-19035	67	17	]	]	PUNCT
bracis-19035	67	18	.	.	PUNCT
bracis-19035	68	1	the	the	DET
bracis-19035	68	2	pure	pure	ADJ
bracis-19035	68	3	quantum	quantum	ADJ
bracis-19035	68	4	walk	walk	NOUN
bracis-19035	68	5	(	(	PUNCT
bracis-19035	68	6	without	without	ADP
bracis-19035	68	7	search	search	NOUN
bracis-19035	68	8	)	)	PUNCT
bracis-19035	68	9	evolves	evolve	VERB
bracis-19035	68	10	by	by	ADP
bracis-19035	68	11	repeated	repeat	VERB
bracis-19035	68	12	applications	application	NOUN
bracis-19035	68	13	from	from	ADP
bracis-19035	68	14	the	the	DET
bracis-19035	68	15	evolution	evolution	NOUN
bracis-19035	68	16	operator	operator	NOUN
bracis-19035	68	17	described	describe	VERB
bracis-19035	68	18	in	in	ADP
bracis-19035	68	19	eq	eq	PROPN
bracis-19035	68	20	.	.	PUNCT
bracis-19035	68	21	 	 	SPACE
bracis-19035	68	22	1	1	NUM
bracis-19035	68	23	,	,	PUNCT
bracis-19035	68	24	where	where	SCONJ
bracis-19035	68	25	c	c	PROPN
bracis-19035	68	26	is	be	AUX
bracis-19035	68	27	grover	grover	NOUN
bracis-19035	68	28	’s	’s	PART
bracis-19035	68	29	“	"	PUNCT
bracis-19035	68	30	diffusion	diffusion	NOUN
bracis-19035	68	31	”	"	PUNCT
bracis-19035	68	32	operator	operator	NOUN
bracis-19035	68	33	on	on	ADP
bracis-19035	68	34	the	the	DET
bracis-19035	68	35	coin	coin	NOUN
bracis-19035	68	36	space	space	NOUN
bracis-19035	68	37	and	and	CCONJ
bracis-19035	68	38	is	be	AUX
bracis-19035	68	39	given	give	VERB
bracis-19035	68	40	by	by	ADP
bracis-19035	68	41	(	(	PUNCT
bracis-19035	68	42	4	4	NUM
bracis-19035	68	43	)	)	PUNCT
bracis-19035	68	44	where	where	SCONJ
bracis-19035	68	45	,	,	PUNCT
bracis-19035	68	46	\(i_{n}\	\(i_{n}\	ADV
bracis-19035	68	47	)	)	PUNCT
bracis-19035	68	48	is	be	AUX
bracis-19035	68	49	the	the	DET
bracis-19035	68	50	identity	identity	NOUN
bracis-19035	68	51	operator	operator	NOUN
bracis-19035	68	52	,	,	PUNCT
bracis-19035	68	53	n	n	X
bracis-19035	68	54	is	be	AUX
bracis-19035	68	55	the	the	DET
bracis-19035	68	56	vertex	vertex	NOUN
bracis-19035	68	57	degree	degree	NOUN
bracis-19035	68	58	loopless	loopless	NOUN
bracis-19035	68	59	,	,	PUNCT
bracis-19035	68	60	and	and	CCONJ
bracis-19035	68	61	is	be	AUX
bracis-19035	68	62	the	the	DET
bracis-19035	68	63	equal	equal	ADJ
bracis-19035	68	64	superposition	superposition	NOUN
bracis-19035	68	65	over	over	ADP
bracis-19035	68	66	all	all	DET
bracis-19035	68	67	n	n	DET
bracis-19035	68	68	directions	direction	NOUN
bracis-19035	68	69	[	[	X
bracis-19035	68	70	9	9	NUM
bracis-19035	68	71	,	,	PUNCT
bracis-19035	68	72	17	17	NUM
bracis-19035	68	73	]	]	PUNCT
bracis-19035	68	74	,	,	PUNCT
bracis-19035	68	75	i.e.	i.e.	X
bracis-19035	68	76	,	,	PUNCT
bracis-19035	68	77	(	(	PUNCT
bracis-19035	68	78	5	5	X
bracis-19035	68	79	)	)	PUNCT
bracis-19035	68	80	we	we	PRON
bracis-19035	68	81	include	include	VERB
bracis-19035	68	82	a	a	DET
bracis-19035	68	83	query	query	NOUN
bracis-19035	68	84	to	to	ADP
bracis-19035	68	85	the	the	DET
bracis-19035	68	86	“	"	PUNCT
bracis-19035	68	87	grover	grover	NOUN
bracis-19035	68	88	oracle	oracle	PROPN
bracis-19035	68	89	”	"	PUNCT
bracis-19035	68	90	,	,	PUNCT
bracis-19035	68	91	described	describe	VERB
bracis-19035	68	92	in	in	ADP
bracis-19035	68	93	eq	eq	PROPN
bracis-19035	68	94	.	.	PROPN
bracis-19035	68	95	 	 	SPACE
bracis-19035	68	96	6	6	NUM
bracis-19035	68	97	,	,	PUNCT
bracis-19035	68	98	at	at	ADP
bracis-19035	68	99	each	each	DET
bracis-19035	68	100	step	step	NOUN
bracis-19035	68	101	of	of	ADP
bracis-19035	68	102	the	the	DET
bracis-19035	68	103	quantum	quantum	ADJ
bracis-19035	68	104	walk	walk	NOUN
bracis-19035	68	105	.	.	PUNCT
bracis-19035	69	1	$	$	SYM
bracis-19035	69	2	$	$	SYM
bracis-19035	69	3	\begin{aligned	\begin{aligne	VERB
bracis-19035	69	4	}	}	PUNCT
bracis-19035	69	5	u	u	NOUN
bracis-19035	69	6	'	'	PUNCT
bracis-19035	69	7	=	=	SYM
bracis-19035	69	8	u	u	SYM
bracis-19035	69	9	\cdot	\cdot	PROPN
bracis-19035	69	10	(	(	PUNCT
bracis-19035	69	11	i_{n	i_{n	PROPN
bracis-19035	69	12	}	}	PUNCT
bracis-19035	69	13	\otimes	\otimes	PROPN
bracis-19035	69	14	q	q	NOUN
bracis-19035	69	15	)	)	PUNCT
bracis-19035	69	16	\end{aligned}$$	\end{aligned}$$	X
bracis-19035	69	17	(	(	PUNCT
bracis-19035	69	18	6	6	NUM
bracis-19035	69	19	)	)	PUNCT
bracis-19035	69	20	where	where	SCONJ
bracis-19035	69	21	,	,	PUNCT
bracis-19035	69	22	,	,	PUNCT
bracis-19035	69	23	and	and	CCONJ
bracis-19035	69	24	means	mean	VERB
bracis-19035	69	25	the	the	DET
bracis-19035	69	26	marked	mark	VERB
bracis-19035	69	27	vertex	vertex	NOUN
bracis-19035	69	28	.	.	PUNCT
bracis-19035	70	1	the	the	DET
bracis-19035	70	2	system	system	NOUN
bracis-19035	70	3	is	be	AUX
bracis-19035	70	4	initiated	initiate	VERB
bracis-19035	70	5	according	accord	VERB
bracis-19035	70	6	to	to	ADP
bracis-19035	70	7	the	the	DET
bracis-19035	70	8	initial	initial	ADJ
bracis-19035	70	9	state	state	NOUN
bracis-19035	70	10	presented	present	VERB
bracis-19035	70	11	in	in	ADP
bracis-19035	70	12	eq	eq	PROPN
bracis-19035	70	13	.	.	PUNCT
bracis-19035	70	14	 	 	SPACE
bracis-19035	71	1	3	3	NUM
bracis-19035	71	2	.	.	NOUN
bracis-19035	71	3	3	3	NUM
bracis-19035	71	4	analyzing	analyze	VERB
bracis-19035	71	5	the	the	DET
bracis-19035	71	6	quantum	quantum	ADJ
bracis-19035	71	7	walk	walk	NOUN
bracis-19035	71	8	on	on	ADP
bracis-19035	71	9	the	the	DET
bracis-19035	71	10	hypercube	hypercube	NOUN
bracis-19035	71	11	in	in	ADP
bracis-19035	71	12	this	this	DET
bracis-19035	71	13	section	section	NOUN
bracis-19035	71	14	,	,	PUNCT
bracis-19035	71	15	we	we	PRON
bracis-19035	71	16	experimentally	experimentally	ADV
bracis-19035	71	17	analyze	analyze	VERB
bracis-19035	71	18	the	the	DET
bracis-19035	71	19	quantum	quantum	ADJ
bracis-19035	71	20	walk	walk	NOUN
bracis-19035	71	21	on	on	ADP
bracis-19035	71	22	the	the	DET
bracis-19035	71	23	hypercube	hypercube	NOUN
bracis-19035	71	24	searching	search	VERB
bracis-19035	71	25	for	for	ADP
bracis-19035	71	26	multiple	multiple	ADJ
bracis-19035	71	27	marked	mark	VERB
bracis-19035	71	28	vertices	vertex	NOUN
bracis-19035	71	29	.	.	PUNCT
bracis-19035	72	1	the	the	DET
bracis-19035	72	2	simulations	simulation	NOUN
bracis-19035	72	3	and	and	CCONJ
bracis-19035	72	4	the	the	DET
bracis-19035	72	5	obtained	obtain	VERB
bracis-19035	72	6	results	result	NOUN
bracis-19035	72	7	are	be	AUX
bracis-19035	72	8	detailed	detail	VERB
bracis-19035	72	9	in	in	ADP
bracis-19035	72	10	the	the	DET
bracis-19035	72	11	following	follow	VERB
bracis-19035	72	12	subsections	subsection	NOUN
bracis-19035	72	13	.	.	PUNCT
bracis-19035	73	1	3.1	3.1	NUM
bracis-19035	73	2	characterizing	characterize	VERB
bracis-19035	73	3	the	the	DET
bracis-19035	73	4	probability	probability	NOUN
bracis-19035	73	5	distribution	distribution	NOUN
bracis-19035	73	6	along	along	ADP
bracis-19035	73	7	the	the	DET
bracis-19035	73	8	space	space	NOUN
bracis-19035	73	9	previous	previous	ADJ
bracis-19035	73	10	works	work	NOUN
bracis-19035	73	11	showed	show	VERB
bracis-19035	73	12	there	there	PRON
bracis-19035	73	13	is	be	VERB
bracis-19035	73	14	an	an	DET
bracis-19035	73	15	amplification	amplification	NOUN
bracis-19035	73	16	in	in	ADP
bracis-19035	73	17	the	the	DET
bracis-19035	73	18	solution	solution	NOUN
bracis-19035	73	19	neighborhood	neighborhood	NOUN
bracis-19035	73	20	,	,	PUNCT
bracis-19035	73	21	which	which	PRON
bracis-19035	73	22	interferes	interfere	VERB
bracis-19035	73	23	with	with	ADP
bracis-19035	73	24	the	the	DET
bracis-19035	73	25	amplification	amplification	NOUN
bracis-19035	73	26	of	of	ADP
bracis-19035	73	27	the	the	DET
bracis-19035	73	28	solutions	solution	NOUN
bracis-19035	73	29	by	by	ADP
bracis-19035	73	30	the	the	DET
bracis-19035	73	31	quantum	quantum	ADJ
bracis-19035	73	32	walk	walk	NOUN
bracis-19035	73	33	on	on	ADP
bracis-19035	73	34	the	the	DET
bracis-19035	73	35	hypercube	hypercube	NOUN
bracis-19035	74	1	[	[	X
bracis-19035	74	2	11	11	NUM
bracis-19035	74	3	,	,	PUNCT
bracis-19035	74	4	14	14	NUM
bracis-19035	74	5	,	,	PUNCT
bracis-19035	74	6	17	17	NUM
bracis-19035	74	7	]	]	PUNCT
bracis-19035	74	8	.	.	PUNCT
bracis-19035	75	1	initially	initially	ADV
bracis-19035	75	2	,	,	PUNCT
bracis-19035	75	3	it	it	PRON
bracis-19035	75	4	is	be	AUX
bracis-19035	75	5	necessary	necessary	ADJ
bracis-19035	75	6	to	to	PART
bracis-19035	75	7	understand	understand	VERB
bracis-19035	75	8	how	how	SCONJ
bracis-19035	75	9	the	the	DET
bracis-19035	75	10	probability	probability	NOUN
bracis-19035	75	11	amplitudes	amplitude	NOUN
bracis-19035	75	12	are	be	AUX
bracis-19035	75	13	distributed	distribute	VERB
bracis-19035	75	14	in	in	ADP
bracis-19035	75	15	the	the	DET
bracis-19035	75	16	search	search	NOUN
bracis-19035	75	17	space	space	NOUN
bracis-19035	75	18	and	and	CCONJ
bracis-19035	75	19	how	how	SCONJ
bracis-19035	75	20	the	the	DET
bracis-19035	75	21	quantum	quantum	NOUN
bracis-19035	75	22	walk	walk	NOUN
bracis-19035	75	23	evolves	evolve	NOUN
bracis-19035	75	24	in	in	ADP
bracis-19035	75	25	the	the	DET
bracis-19035	75	26	hypercube	hypercube	NOUN
bracis-19035	75	27	over	over	ADP
bracis-19035	75	28	time	time	NOUN
bracis-19035	75	29	considering	consider	VERB
bracis-19035	75	30	the	the	DET
bracis-19035	75	31	impacts	impact	NOUN
bracis-19035	75	32	caused	cause	VERB
bracis-19035	75	33	by	by	ADP
bracis-19035	75	34	the	the	DET
bracis-19035	75	35	solution	solution	NOUN
bracis-19035	75	36	neighborhood	neighborhood	NOUN
bracis-19035	75	37	.	.	PUNCT
bracis-19035	76	1	figure	figure	NOUN
bracis-19035	76	2	 	 	SPACE
bracis-19035	76	3	1	1	NUM
bracis-19035	76	4	shows	show	VERB
bracis-19035	76	5	the	the	DET
bracis-19035	76	6	probability	probability	NOUN
bracis-19035	76	7	of	of	ADP
bracis-19035	76	8	success	success	NOUN
bracis-19035	76	9	after	after	ADP
bracis-19035	76	10	one	one	NUM
bracis-19035	76	11	hundred	hundred	NUM
bracis-19035	76	12	steps	step	NOUN
bracis-19035	76	13	for	for	ADP
bracis-19035	76	14	the	the	DET
bracis-19035	76	15	quantum	quantum	ADJ
bracis-19035	76	16	walk	walk	NOUN
bracis-19035	76	17	in	in	ADP
bracis-19035	76	18	the	the	DET
bracis-19035	76	19	hypercube	hypercube	NOUN
bracis-19035	76	20	with	with	ADP
bracis-19035	76	21	one	one	NUM
bracis-19035	76	22	,	,	PUNCT
bracis-19035	76	23	two	two	NUM
bracis-19035	76	24	,	,	PUNCT
bracis-19035	76	25	three	three	NUM
bracis-19035	76	26	,	,	PUNCT
bracis-19035	76	27	and	and	CCONJ
bracis-19035	76	28	four	four	NUM
bracis-19035	76	29	arbitrarily	arbitrarily	ADV
bracis-19035	76	30	marked	mark	VERB
bracis-19035	76	31	vertices	vertex	NOUN
bracis-19035	76	32	.	.	PUNCT
bracis-19035	77	1	although	although	SCONJ
bracis-19035	77	2	the	the	DET
bracis-19035	77	3	search	search	NOUN
bracis-19035	77	4	algorithm	algorithm	NOUN
bracis-19035	77	5	is	be	AUX
bracis-19035	77	6	able	able	ADJ
bracis-19035	77	7	to	to	PART
bracis-19035	77	8	amplify	amplify	VERB
bracis-19035	77	9	the	the	DET
bracis-19035	77	10	probability	probability	NOUN
bracis-19035	77	11	amplitudes	amplitude	NOUN
bracis-19035	77	12	of	of	ADP
bracis-19035	77	13	the	the	DET
bracis-19035	77	14	marked	mark	VERB
bracis-19035	77	15	vertices	vertex	NOUN
bracis-19035	77	16	,	,	PUNCT
bracis-19035	77	17	if	if	SCONJ
bracis-19035	77	18	a	a	DET
bracis-19035	77	19	measurement	measurement	NOUN
bracis-19035	77	20	is	be	AUX
bracis-19035	77	21	performed	perform	VERB
bracis-19035	77	22	,	,	PUNCT
bracis-19035	77	23	the	the	DET
bracis-19035	77	24	probability	probability	NOUN
bracis-19035	77	25	of	of	ADP
bracis-19035	77	26	finding	find	VERB
bracis-19035	77	27	one	one	NUM
bracis-19035	77	28	of	of	ADP
bracis-19035	77	29	the	the	DET
bracis-19035	77	30	solutions	solution	NOUN
bracis-19035	77	31	is	be	AUX
bracis-19035	77	32	still	still	ADV
bracis-19035	77	33	unsatisfactory	unsatisfactory	ADJ
bracis-19035	77	34	.	.	PUNCT
bracis-19035	78	1	another	another	DET
bracis-19035	78	2	interesting	interesting	ADJ
bracis-19035	78	3	aspect	aspect	NOUN
bracis-19035	78	4	that	that	PRON
bracis-19035	78	5	can	can	AUX
bracis-19035	78	6	be	be	AUX
bracis-19035	78	7	observed	observe	VERB
bracis-19035	78	8	is	be	AUX
bracis-19035	78	9	that	that	SCONJ
bracis-19035	78	10	as	as	ADP
bracis-19035	78	11	the	the	DET
bracis-19035	78	12	number	number	NOUN
bracis-19035	78	13	of	of	ADP
bracis-19035	78	14	marked	mark	VERB
bracis-19035	78	15	vertices	vertex	NOUN
bracis-19035	78	16	increases	increase	NOUN
bracis-19035	78	17	,	,	PUNCT
bracis-19035	78	18	the	the	DET
bracis-19035	78	19	speed	speed	NOUN
bracis-19035	78	20	of	of	ADP
bracis-19035	78	21	amplification	amplification	NOUN
bracis-19035	78	22	the	the	DET
bracis-19035	78	23	probability	probability	NOUN
bracis-19035	78	24	amplitudes	amplitude	NOUN
bracis-19035	78	25	also	also	ADV
bracis-19035	78	26	increases	increase	VERB
bracis-19035	78	27	.	.	PUNCT
bracis-19035	79	1	however	however	ADV
bracis-19035	79	2	,	,	PUNCT
bracis-19035	79	3	it	it	PRON
bracis-19035	79	4	is	be	AUX
bracis-19035	79	5	necessary	necessary	ADJ
bracis-19035	79	6	to	to	PART
bracis-19035	79	7	increase	increase	VERB
bracis-19035	79	8	the	the	DET
bracis-19035	79	9	probability	probability	NOUN
bracis-19035	79	10	amplitudes	amplitude	NOUN
bracis-19035	79	11	of	of	ADP
bracis-19035	79	12	the	the	DET
bracis-19035	79	13	marked	mark	VERB
bracis-19035	79	14	vertices	vertex	NOUN
bracis-19035	79	15	.	.	PUNCT
bracis-19035	80	1	figure	figure	NOUN
bracis-19035	80	2	 	 	SPACE
bracis-19035	80	3	2	2	NUM
bracis-19035	80	4	shows	show	VERB
bracis-19035	80	5	the	the	DET
bracis-19035	80	6	probability	probability	NOUN
bracis-19035	80	7	distributions	distribution	NOUN
bracis-19035	80	8	of	of	ADP
bracis-19035	80	9	the	the	DET
bracis-19035	80	10	marked	mark	VERB
bracis-19035	80	11	vertices	vertex	NOUN
bracis-19035	80	12	only	only	ADV
bracis-19035	80	13	after	after	ADP
bracis-19035	80	14	the	the	DET
bracis-19035	80	15	number	number	NOUN
bracis-19035	80	16	of	of	ADP
bracis-19035	80	17	iterations	iteration	NOUN
bracis-19035	80	18	necessary	necessary	ADJ
bracis-19035	80	19	to	to	PART
bracis-19035	80	20	reach	reach	VERB
bracis-19035	80	21	the	the	DET
bracis-19035	80	22	maximum	maximum	ADJ
bracis-19035	80	23	value	value	NOUN
bracis-19035	80	24	of	of	ADP
bracis-19035	80	25	the	the	DET
bracis-19035	80	26	probability	probability	NOUN
bracis-19035	80	27	amplitude	amplitude	NOUN
bracis-19035	80	28	close	close	ADV
bracis-19035	80	29	to	to	ADP
bracis-19035	80	30	1/2	1/2	NUM
bracis-19035	80	31	.	.	PUNCT
bracis-19035	81	1	as	as	ADP
bracis-19035	81	2	potovcek	potovcek	PROPN
bracis-19035	81	3	et	et	PROPN
bracis-19035	81	4	al	al	PROPN
bracis-19035	81	5	.	.	PUNCT
bracis-19035	81	6	 	 	SPACE
bracis-19035	82	1	[	[	X
bracis-19035	82	2	14	14	NUM
bracis-19035	82	3	]	]	PUNCT
bracis-19035	82	4	noted	note	VERB
bracis-19035	82	5	in	in	ADP
bracis-19035	82	6	their	their	PRON
bracis-19035	82	7	work	work	NOUN
bracis-19035	82	8	,	,	PUNCT
bracis-19035	82	9	we	we	PRON
bracis-19035	82	10	also	also	ADV
bracis-19035	82	11	note	note	VERB
bracis-19035	82	12	that	that	SCONJ
bracis-19035	82	13	the	the	DET
bracis-19035	82	14	set	set	NOUN
bracis-19035	82	15	of	of	ADP
bracis-19035	82	16	neighbors	neighbor	NOUN
bracis-19035	82	17	have	have	VERB
bracis-19035	82	18	a	a	DET
bracis-19035	82	19	high	high	ADJ
bracis-19035	82	20	probability	probability	NOUN
bracis-19035	82	21	.	.	PUNCT
bracis-19035	83	1	if	if	SCONJ
bracis-19035	83	2	we	we	PRON
bracis-19035	83	3	add	add	VERB
bracis-19035	83	4	the	the	DET
bracis-19035	83	5	amplitudes	amplitude	NOUN
bracis-19035	83	6	of	of	ADP
bracis-19035	83	7	the	the	DET
bracis-19035	83	8	neighbor	neighbor	NOUN
bracis-19035	83	9	’s	’s	PART
bracis-19035	83	10	vertices	vertex	NOUN
bracis-19035	83	11	,	,	PUNCT
bracis-19035	83	12	the	the	DET
bracis-19035	83	13	values	value	NOUN
bracis-19035	83	14	are	be	AUX
bracis-19035	83	15	compatible	compatible	ADJ
bracis-19035	83	16	with	with	ADP
bracis-19035	83	17	the	the	DET
bracis-19035	83	18	amplitude	amplitude	NOUN
bracis-19035	83	19	value	value	NOUN
bracis-19035	83	20	of	of	ADP
bracis-19035	83	21	the	the	DET
bracis-19035	83	22	marked	mark	VERB
bracis-19035	83	23	vertex	vertex	NOUN
bracis-19035	83	24	.	.	PUNCT
bracis-19035	84	1	we	we	PRON
bracis-19035	84	2	conclude	conclude	VERB
bracis-19035	84	3	that	that	SCONJ
bracis-19035	84	4	a	a	DET
bracis-19035	84	5	considerable	considerable	ADJ
bracis-19035	84	6	part	part	NOUN
bracis-19035	84	7	of	of	ADP
bracis-19035	84	8	the	the	DET
bracis-19035	84	9	energy	energy	NOUN
bracis-19035	84	10	,	,	PUNCT
bracis-19035	84	11	approximately	approximately	ADV
bracis-19035	84	12	1/2	1/2	NUM
bracis-19035	84	13	,	,	PUNCT
bracis-19035	84	14	is	be	AUX
bracis-19035	84	15	retained	retain	VERB
bracis-19035	84	16	in	in	ADP
bracis-19035	84	17	the	the	DET
bracis-19035	84	18	neighbors	neighbor	NOUN
bracis-19035	84	19	of	of	ADP
bracis-19035	84	20	the	the	DET
bracis-19035	84	21	marked	mark	VERB
bracis-19035	84	22	vertices	vertex	NOUN
bracis-19035	84	23	.	.	PUNCT
bracis-19035	85	1	figure	figure	NOUN
bracis-19035	85	2	 	 	SPACE
bracis-19035	85	3	2d	2d	NOUN
bracis-19035	85	4	,	,	PUNCT
bracis-19035	85	5	shows	show	VERB
bracis-19035	85	6	the	the	DET
bracis-19035	85	7	probability	probability	NOUN
bracis-19035	85	8	distribution	distribution	NOUN
bracis-19035	85	9	of	of	ADP
bracis-19035	85	10	four	four	NUM
bracis-19035	85	11	marked	mark	VERB
bracis-19035	85	12	vertices	vertex	NOUN
bracis-19035	85	13	.	.	PUNCT
bracis-19035	86	1	note	note	VERB
bracis-19035	86	2	that	that	SCONJ
bracis-19035	86	3	the	the	DET
bracis-19035	86	4	amplitudes	amplitude	NOUN
bracis-19035	86	5	of	of	ADP
bracis-19035	86	6	each	each	DET
bracis-19035	86	7	vertex	vertex	NOUN
bracis-19035	86	8	have	have	VERB
bracis-19035	86	9	their	their	PRON
bracis-19035	86	10	maximum	maximum	ADJ
bracis-19035	86	11	and	and	CCONJ
bracis-19035	86	12	a	a	DET
bracis-19035	86	13	neighborhood	neighborhood	NOUN
bracis-19035	86	14	region	region	NOUN
bracis-19035	86	15	.	.	PUNCT
bracis-19035	87	1	the	the	DET
bracis-19035	87	2	x	x	ADJ
bracis-19035	87	3	-	-	ADJ
bracis-19035	87	4	axis	axis	ADJ
bracis-19035	87	5	distribution	distribution	NOUN
bracis-19035	87	6	is	be	AUX
bracis-19035	87	7	the	the	DET
bracis-19035	87	8	relative	relative	ADJ
bracis-19035	87	9	position	position	NOUN
bracis-19035	87	10	of	of	ADP
bracis-19035	87	11	the	the	DET
bracis-19035	87	12	position	position	NOUN
bracis-19035	87	13	on	on	ADP
bracis-19035	87	14	the	the	DET
bracis-19035	87	15	hypercube	hypercube	NOUN
bracis-19035	87	16	.	.	PUNCT
bracis-19035	88	1	it	it	PRON
bracis-19035	88	2	explains	explain	VERB
bracis-19035	88	3	why	why	SCONJ
bracis-19035	88	4	even	even	ADV
bracis-19035	88	5	increasing	increase	VERB
bracis-19035	88	6	the	the	DET
bracis-19035	88	7	number	number	NOUN
bracis-19035	88	8	of	of	ADP
bracis-19035	88	9	marked	mark	VERB
bracis-19035	88	10	vertices	vertex	NOUN
bracis-19035	88	11	,	,	PUNCT
bracis-19035	88	12	the	the	DET
bracis-19035	88	13	success	success	NOUN
bracis-19035	88	14	probabilities	probability	NOUN
bracis-19035	88	15	do	do	AUX
bracis-19035	88	16	not	not	PART
bracis-19035	88	17	reach	reach	VERB
bracis-19035	88	18	values	value	NOUN
bracis-19035	88	19	above	above	ADP
bracis-19035	88	20	1/2	1/2	NUM
bracis-19035	88	21	.	.	PUNCT
bracis-19035	89	1	fig	fig	NOUN
bracis-19035	89	2	.	.	PUNCT
bracis-19035	90	1	1	1	X
bracis-19035	90	2	.	.	X
bracis-19035	90	3	success	success	NOUN
bracis-19035	90	4	probability	probability	NOUN
bracis-19035	90	5	after	after	ADP
bracis-19035	90	6	100	100	NUM
bracis-19035	90	7	steps	step	NOUN
bracis-19035	90	8	in	in	ADP
bracis-19035	90	9	a	a	DET
bracis-19035	90	10	hypercube	hypercube	NOUN
bracis-19035	90	11	with	with	ADP
bracis-19035	90	12	1024	1024	NUM
bracis-19035	90	13	nodes	node	NOUN
bracis-19035	90	14	.	.	PUNCT
bracis-19035	91	1	the	the	DET
bracis-19035	91	2	solid	solid	ADJ
bracis-19035	91	3	blue	blue	ADJ
bracis-19035	91	4	curve	curve	NOUN
bracis-19035	91	5	is	be	AUX
bracis-19035	91	6	the	the	DET
bracis-19035	91	7	success	success	NOUN
bracis-19035	91	8	probability	probability	NOUN
bracis-19035	91	9	for	for	ADP
bracis-19035	91	10	one	one	NUM
bracis-19035	91	11	solution	solution	NOUN
bracis-19035	91	12	.	.	PUNCT
bracis-19035	92	1	the	the	DET
bracis-19035	92	2	dotted	dotted	ADJ
bracis-19035	92	3	orange	orange	PROPN
bracis-19035	92	4	curve	curve	NOUN
bracis-19035	92	5	is	be	AUX
bracis-19035	92	6	the	the	DET
bracis-19035	92	7	success	success	NOUN
bracis-19035	92	8	probability	probability	NOUN
bracis-19035	92	9	for	for	ADP
bracis-19035	92	10	two	two	NUM
bracis-19035	92	11	solutions	solution	NOUN
bracis-19035	92	12	.	.	PUNCT
bracis-19035	93	1	the	the	DET
bracis-19035	93	2	dot	dot	NOUN
bracis-19035	93	3	-	-	PUNCT
bracis-19035	93	4	dashed	dash	VERB
bracis-19035	93	5	green	green	ADJ
bracis-19035	93	6	curve	curve	NOUN
bracis-19035	93	7	is	be	AUX
bracis-19035	93	8	the	the	DET
bracis-19035	93	9	success	success	NOUN
bracis-19035	93	10	probability	probability	NOUN
bracis-19035	93	11	for	for	ADP
bracis-19035	93	12	three	three	NUM
bracis-19035	93	13	solutions	solution	NOUN
bracis-19035	93	14	.	.	PUNCT
bracis-19035	94	1	the	the	DET
bracis-19035	94	2	dotted	dotted	ADJ
bracis-19035	94	3	red	red	ADJ
bracis-19035	94	4	curve	curve	NOUN
bracis-19035	94	5	is	be	AUX
bracis-19035	94	6	the	the	DET
bracis-19035	94	7	success	success	NOUN
bracis-19035	94	8	probability	probability	NOUN
bracis-19035	94	9	for	for	ADP
bracis-19035	94	10	four	four	NUM
bracis-19035	94	11	solutions	solution	NOUN
bracis-19035	94	12	.	.	PUNCT
bracis-19035	95	1	(	(	PUNCT
bracis-19035	95	2	color	color	NOUN
bracis-19035	95	3	figure	figure	NOUN
bracis-19035	95	4	online	online	ADV
bracis-19035	95	5	)	)	PUNCT
bracis-19035	95	6	full	full	ADJ
bracis-19035	95	7	size	size	NOUN
bracis-19035	95	8	image	image	NOUN
bracis-19035	95	9	fig	fig	NOUN
bracis-19035	95	10	.	.	PUNCT
bracis-19035	96	1	2	2	NUM
bracis-19035	96	2	.	.	X
bracis-19035	96	3	probability	probability	NOUN
bracis-19035	96	4	distribution	distribution	NOUN
bracis-19035	96	5	of	of	ADP
bracis-19035	96	6	the	the	DET
bracis-19035	96	7	quantum	quantum	ADJ
bracis-19035	96	8	walk	walk	NOUN
bracis-19035	96	9	after	after	ADP
bracis-19035	96	10	the	the	DET
bracis-19035	96	11	number	number	NOUN
bracis-19035	96	12	of	of	ADP
bracis-19035	96	13	iterations	iteration	NOUN
bracis-19035	96	14	necessary	necessary	ADJ
bracis-19035	96	15	to	to	PART
bracis-19035	96	16	reach	reach	VERB
bracis-19035	96	17	the	the	DET
bracis-19035	96	18	maximum	maximum	ADJ
bracis-19035	96	19	value	value	NOUN
bracis-19035	96	20	of	of	ADP
bracis-19035	96	21	the	the	DET
bracis-19035	96	22	probability	probability	NOUN
bracis-19035	96	23	amplitude	amplitude	NOUN
bracis-19035	96	24	with	with	ADP
bracis-19035	96	25	\(n	\(n	NOUN
bracis-19035	96	26	=	=	SYM
bracis-19035	96	27	10\	10\	NUM
bracis-19035	96	28	)	)	PUNCT
bracis-19035	96	29	and	and	CCONJ
bracis-19035	96	30	\(n	\(n	NOUN
bracis-19035	96	31	=	=	SYM
bracis-19035	96	32	1024\	1024\	NUM
bracis-19035	96	33	)	)	PUNCT
bracis-19035	96	34	vertices	vertex	NOUN
bracis-19035	96	35	.	.	PUNCT
bracis-19035	97	1	the	the	DET
bracis-19035	97	2	y	y	NOUN
bracis-19035	97	3	-	-	PUNCT
bracis-19035	97	4	axis	axis	NOUN
bracis-19035	97	5	values	value	NOUN
bracis-19035	97	6	are	be	AUX
bracis-19035	97	7	at	at	ADP
bracis-19035	97	8	different	different	ADJ
bracis-19035	97	9	ranges	range	NOUN
bracis-19035	97	10	to	to	PART
bracis-19035	97	11	improve	improve	VERB
bracis-19035	97	12	visualization	visualization	NOUN
bracis-19035	97	13	.	.	PUNCT
bracis-19035	98	1	(	(	PUNCT
bracis-19035	98	2	a	a	X
bracis-19035	98	3	)	)	PUNCT
bracis-19035	98	4	solid	solid	ADJ
bracis-19035	98	5	blue	blue	ADJ
bracis-19035	98	6	bar	bar	NOUN
bracis-19035	98	7	show	show	VERB
bracis-19035	98	8	the	the	DET
bracis-19035	98	9	probability	probability	NOUN
bracis-19035	98	10	distribution	distribution	NOUN
bracis-19035	98	11	for	for	ADP
bracis-19035	98	12	one	one	NUM
bracis-19035	98	13	marked	mark	VERB
bracis-19035	98	14	vertex	vertex	NOUN
bracis-19035	98	15	.	.	PUNCT
bracis-19035	99	1	(	(	PUNCT
bracis-19035	99	2	b	b	X
bracis-19035	99	3	)	)	PUNCT
bracis-19035	99	4	solid	solid	ADJ
bracis-19035	99	5	blue	blue	ADJ
bracis-19035	99	6	bar	bar	NOUN
bracis-19035	99	7	and	and	CCONJ
bracis-19035	99	8	orange	orange	NOUN
bracis-19035	99	9	dashed	dash	VERB
bracis-19035	99	10	bar	bar	NOUN
bracis-19035	99	11	show	show	VERB
bracis-19035	99	12	the	the	DET
bracis-19035	99	13	probability	probability	NOUN
bracis-19035	99	14	distribution	distribution	NOUN
bracis-19035	99	15	for	for	ADP
bracis-19035	99	16	two	two	NUM
bracis-19035	99	17	marked	mark	VERB
bracis-19035	99	18	vertices	vertex	NOUN
bracis-19035	99	19	.	.	PUNCT
bracis-19035	100	1	(	(	PUNCT
bracis-19035	100	2	c	c	X
bracis-19035	100	3	)	)	PUNCT
bracis-19035	100	4	solid	solid	ADJ
bracis-19035	100	5	blue	blue	ADJ
bracis-19035	100	6	bar	bar	NOUN
bracis-19035	100	7	,	,	PUNCT
bracis-19035	100	8	orange	orange	PROPN
bracis-19035	100	9	dashed	dash	VERB
bracis-19035	100	10	bar	bar	NOUN
bracis-19035	100	11	and	and	CCONJ
bracis-19035	100	12	green	green	ADJ
bracis-19035	100	13	dash	dash	NOUN
bracis-19035	100	14	-	-	PUNCT
bracis-19035	100	15	dot	dot	NOUN
bracis-19035	100	16	bar	bar	NOUN
bracis-19035	100	17	show	show	VERB
bracis-19035	100	18	the	the	DET
bracis-19035	100	19	probability	probability	NOUN
bracis-19035	100	20	distribution	distribution	NOUN
bracis-19035	100	21	for	for	ADP
bracis-19035	100	22	three	three	NUM
bracis-19035	100	23	marked	mark	VERB
bracis-19035	100	24	vertices	vertex	NOUN
bracis-19035	100	25	.	.	PUNCT
bracis-19035	101	1	(	(	PUNCT
bracis-19035	101	2	d	d	X
bracis-19035	101	3	)	)	PUNCT
bracis-19035	101	4	solid	solid	ADJ
bracis-19035	101	5	blue	blue	ADJ
bracis-19035	101	6	bar	bar	NOUN
bracis-19035	101	7	,	,	PUNCT
bracis-19035	101	8	orange	orange	PROPN
bracis-19035	101	9	dashed	dash	VERB
bracis-19035	101	10	bar	bar	NOUN
bracis-19035	101	11	,	,	PUNCT
bracis-19035	101	12	green	green	ADJ
bracis-19035	101	13	dash	dash	NOUN
bracis-19035	101	14	-	-	PUNCT
bracis-19035	101	15	dot	dot	NOUN
bracis-19035	101	16	bar	bar	NOUN
bracis-19035	101	17	and	and	CCONJ
bracis-19035	101	18	dotted	dot	VERB
bracis-19035	101	19	red	red	ADJ
bracis-19035	101	20	bar	bar	NOUN
bracis-19035	101	21	show	show	VERB
bracis-19035	101	22	the	the	DET
bracis-19035	101	23	probability	probability	NOUN
bracis-19035	101	24	distribution	distribution	NOUN
bracis-19035	101	25	for	for	ADP
bracis-19035	101	26	four	four	NUM
bracis-19035	101	27	marked	mark	VERB
bracis-19035	101	28	vertices	vertex	NOUN
bracis-19035	101	29	.	.	PUNCT
bracis-19035	102	1	(	(	PUNCT
bracis-19035	102	2	color	color	NOUN
bracis-19035	102	3	figure	figure	NOUN
bracis-19035	102	4	online	online	ADV
bracis-19035	102	5	)	)	PUNCT
bracis-19035	102	6	full	full	ADJ
bracis-19035	102	7	size	size	NOUN
bracis-19035	102	8	image	image	NOUN
bracis-19035	102	9	figure	figure	NOUN
bracis-19035	102	10	 	 	SPACE
bracis-19035	102	11	3	3	NUM
bracis-19035	102	12	shows	show	VERB
bracis-19035	102	13	the	the	DET
bracis-19035	102	14	success	success	NOUN
bracis-19035	102	15	probability	probability	NOUN
bracis-19035	102	16	for	for	ADP
bracis-19035	102	17	the	the	DET
bracis-19035	102	18	quantum	quantum	NOUN
bracis-19035	102	19	walk	walk	NOUN
bracis-19035	102	20	with	with	ADP
bracis-19035	102	21	one	one	NUM
bracis-19035	102	22	and	and	CCONJ
bracis-19035	102	23	four	four	NUM
bracis-19035	102	24	marked	mark	VERB
bracis-19035	102	25	vertices	vertex	NOUN
bracis-19035	102	26	after	after	ADP
bracis-19035	102	27	one	one	NUM
bracis-19035	102	28	hundred	hundred	NUM
bracis-19035	102	29	steps	step	NOUN
bracis-19035	102	30	.	.	PUNCT
bracis-19035	103	1	figure	figure	NOUN
bracis-19035	103	2	 	 	SPACE
bracis-19035	103	3	3a	3a	PROPN
bracis-19035	103	4	shows	show	VERB
bracis-19035	103	5	the	the	DET
bracis-19035	103	6	behavior	behavior	NOUN
bracis-19035	103	7	of	of	ADP
bracis-19035	103	8	the	the	DET
bracis-19035	103	9	success	success	NOUN
bracis-19035	103	10	probability	probability	NOUN
bracis-19035	103	11	of	of	ADP
bracis-19035	103	12	one	one	NUM
bracis-19035	103	13	marked	mark	VERB
bracis-19035	103	14	vertex	vertex	NOUN
bracis-19035	103	15	,	,	PUNCT
bracis-19035	103	16	the	the	DET
bracis-19035	103	17	solid	solid	ADJ
bracis-19035	103	18	blue	blue	ADJ
bracis-19035	103	19	curve	curve	NOUN
bracis-19035	103	20	,	,	PUNCT
bracis-19035	103	21	and	and	CCONJ
bracis-19035	103	22	its	its	PRON
bracis-19035	103	23	neighbors	neighbor	NOUN
bracis-19035	103	24	,	,	PUNCT
bracis-19035	103	25	which	which	PRON
bracis-19035	103	26	is	be	AUX
bracis-19035	103	27	the	the	DET
bracis-19035	103	28	dotted	dotted	ADJ
bracis-19035	103	29	orange	orange	PROPN
bracis-19035	103	30	curve	curve	NOUN
bracis-19035	103	31	.	.	PUNCT
bracis-19035	104	1	if	if	SCONJ
bracis-19035	104	2	a	a	DET
bracis-19035	104	3	measurement	measurement	NOUN
bracis-19035	104	4	is	be	AUX
bracis-19035	104	5	performed	perform	VERB
bracis-19035	104	6	,	,	PUNCT
bracis-19035	104	7	the	the	DET
bracis-19035	104	8	probability	probability	NOUN
bracis-19035	104	9	of	of	ADP
bracis-19035	104	10	getting	get	VERB
bracis-19035	104	11	a	a	DET
bracis-19035	104	12	neighbor	neighbor	NOUN
bracis-19035	104	13	vertex	vertex	NOUN
bracis-19035	104	14	is	be	AUX
bracis-19035	104	15	greater	great	ADJ
bracis-19035	104	16	than	than	ADP
bracis-19035	104	17	getting	get	VERB
bracis-19035	104	18	a	a	DET
bracis-19035	104	19	marked	mark	VERB
bracis-19035	104	20	vertex	vertex	NOUN
bracis-19035	104	21	.	.	PUNCT
bracis-19035	105	1	with	with	ADP
bracis-19035	105	2	probability	probability	NOUN
bracis-19035	105	3	above	above	ADP
bracis-19035	105	4	\(90\%\	\(90\%\	PRON
bracis-19035	105	5	)	)	PUNCT
bracis-19035	105	6	,	,	PUNCT
bracis-19035	105	7	you	you	PRON
bracis-19035	105	8	get	get	VERB
bracis-19035	105	9	the	the	DET
bracis-19035	105	10	solution	solution	NOUN
bracis-19035	105	11	or	or	CCONJ
bracis-19035	105	12	a	a	DET
bracis-19035	105	13	vertex	vertex	NOUN
bracis-19035	105	14	that	that	PRON
bracis-19035	105	15	is	be	AUX
bracis-19035	105	16	one	one	NUM
bracis-19035	105	17	step	step	NOUN
bracis-19035	105	18	away	away	ADV
bracis-19035	105	19	from	from	ADP
bracis-19035	105	20	the	the	DET
bracis-19035	105	21	solution	solution	NOUN
bracis-19035	105	22	.	.	PUNCT
bracis-19035	106	1	figure	figure	NOUN
bracis-19035	106	2	 	 	SPACE
bracis-19035	106	3	3b	3b	PROPN
bracis-19035	106	4	shows	show	VERB
bracis-19035	106	5	the	the	DET
bracis-19035	106	6	behavior	behavior	NOUN
bracis-19035	106	7	of	of	ADP
bracis-19035	106	8	the	the	DET
bracis-19035	106	9	success	success	NOUN
bracis-19035	106	10	probability	probability	NOUN
bracis-19035	106	11	of	of	ADP
bracis-19035	106	12	four	four	NUM
bracis-19035	106	13	marked	mark	VERB
bracis-19035	106	14	vertices	vertex	NOUN
bracis-19035	106	15	,	,	PUNCT
bracis-19035	106	16	the	the	DET
bracis-19035	106	17	solid	solid	ADJ
bracis-19035	106	18	blue	blue	ADJ
bracis-19035	106	19	curve	curve	NOUN
bracis-19035	106	20	,	,	PUNCT
bracis-19035	106	21	and	and	CCONJ
bracis-19035	106	22	their	their	PRON
bracis-19035	106	23	neighbors	neighbor	NOUN
bracis-19035	106	24	,	,	PUNCT
bracis-19035	106	25	the	the	DET
bracis-19035	106	26	dotted	dotted	ADJ
bracis-19035	106	27	orange	orange	PROPN
bracis-19035	106	28	curve	curve	PROPN
bracis-19035	106	29	.	.	PUNCT
bracis-19035	107	1	note	note	VERB
bracis-19035	107	2	that	that	SCONJ
bracis-19035	107	3	in	in	ADP
bracis-19035	107	4	a	a	DET
bracis-19035	107	5	step	step	NOUN
bracis-19035	107	6	when	when	SCONJ
bracis-19035	107	7	the	the	DET
bracis-19035	107	8	probability	probability	NOUN
bracis-19035	107	9	of	of	ADP
bracis-19035	107	10	success	success	NOUN
bracis-19035	107	11	of	of	ADP
bracis-19035	107	12	the	the	DET
bracis-19035	107	13	marked	mark	VERB
bracis-19035	107	14	vertices	vertex	NOUN
bracis-19035	107	15	is	be	AUX
bracis-19035	107	16	high	high	ADJ
bracis-19035	107	17	,	,	PUNCT
bracis-19035	107	18	the	the	DET
bracis-19035	107	19	probability	probability	NOUN
bracis-19035	107	20	of	of	ADP
bracis-19035	107	21	success	success	NOUN
bracis-19035	107	22	of	of	ADP
bracis-19035	107	23	the	the	DET
bracis-19035	107	24	neighbors	neighbor	NOUN
bracis-19035	107	25	decreases	decrease	VERB
bracis-19035	107	26	,	,	PUNCT
bracis-19035	107	27	and	and	CCONJ
bracis-19035	107	28	in	in	ADP
bracis-19035	107	29	the	the	DET
bracis-19035	107	30	next	next	ADJ
bracis-19035	107	31	step	step	NOUN
bracis-19035	107	32	,	,	PUNCT
bracis-19035	107	33	when	when	SCONJ
bracis-19035	107	34	the	the	DET
bracis-19035	107	35	probability	probability	NOUN
bracis-19035	107	36	of	of	ADP
bracis-19035	107	37	success	success	NOUN
bracis-19035	107	38	of	of	ADP
bracis-19035	107	39	the	the	DET
bracis-19035	107	40	neighbors	neighbor	NOUN
bracis-19035	107	41	is	be	AUX
bracis-19035	107	42	high	high	ADJ
bracis-19035	107	43	,	,	PUNCT
bracis-19035	107	44	the	the	DET
bracis-19035	107	45	probability	probability	NOUN
bracis-19035	107	46	of	of	ADP
bracis-19035	107	47	success	success	NOUN
bracis-19035	107	48	of	of	ADP
bracis-19035	107	49	the	the	DET
bracis-19035	107	50	marked	mark	VERB
bracis-19035	107	51	vertices	vertex	NOUN
bracis-19035	107	52	decreases	decrease	VERB
bracis-19035	107	53	.	.	PUNCT
bracis-19035	108	1	because	because	SCONJ
bracis-19035	108	2	of	of	ADP
bracis-19035	108	3	this	this	DET
bracis-19035	108	4	behavior	behavior	NOUN
bracis-19035	108	5	,	,	PUNCT
bracis-19035	108	6	if	if	SCONJ
bracis-19035	108	7	a	a	DET
bracis-19035	108	8	measurement	measurement	NOUN
bracis-19035	108	9	is	be	AUX
bracis-19035	108	10	performed	perform	VERB
bracis-19035	108	11	,	,	PUNCT
bracis-19035	108	12	the	the	DET
bracis-19035	108	13	probability	probability	NOUN
bracis-19035	108	14	of	of	ADP
bracis-19035	108	15	getting	get	VERB
bracis-19035	108	16	a	a	DET
bracis-19035	108	17	neighbor	neighbor	NOUN
bracis-19035	108	18	is	be	AUX
bracis-19035	108	19	high	high	ADJ
bracis-19035	108	20	.	.	PUNCT
bracis-19035	109	1	this	this	PRON
bracis-19035	109	2	happens	happen	VERB
bracis-19035	109	3	in	in	ADP
bracis-19035	109	4	fig	fig	NOUN
bracis-19035	109	5	.	.	PUNCT
bracis-19035	109	6	 	 	SPACE
bracis-19035	110	1	3a	3a	NUM
bracis-19035	110	2	but	but	CCONJ
bracis-19035	110	3	more	more	ADV
bracis-19035	110	4	smoothly	smoothly	ADV
bracis-19035	110	5	.	.	PUNCT
bracis-19035	111	1	observing	observe	VERB
bracis-19035	111	2	these	these	DET
bracis-19035	111	3	results	result	NOUN
bracis-19035	111	4	,	,	PUNCT
bracis-19035	111	5	we	we	PRON
bracis-19035	111	6	must	must	AUX
bracis-19035	111	7	consider	consider	VERB
bracis-19035	111	8	the	the	DET
bracis-19035	111	9	probability	probability	NOUN
bracis-19035	111	10	p	p	NOUN
bracis-19035	111	11	of	of	ADP
bracis-19035	111	12	obtaining	obtain	VERB
bracis-19035	111	13	a	a	DET
bracis-19035	111	14	marked	mark	VERB
bracis-19035	111	15	vertex	vertex	NOUN
bracis-19035	111	16	and	and	CCONJ
bracis-19035	111	17	the	the	DET
bracis-19035	111	18	probability	probability	NOUN
bracis-19035	111	19	\(p	\(p	NOUN
bracis-19035	111	20	'	'	PUNCT
bracis-19035	111	21	=	=	PUNCT
bracis-19035	111	22	(	(	PUNCT
bracis-19035	111	23	1	1	NUM
bracis-19035	111	24	p)\	p)\	NOUN
bracis-19035	111	25	)	)	PUNCT
bracis-19035	111	26	of	of	ADP
bracis-19035	111	27	obtaining	obtain	VERB
bracis-19035	111	28	an	an	DET
bracis-19035	111	29	unmarked	unmarked	ADJ
bracis-19035	111	30	vertex	vertex	NOUN
bracis-19035	111	31	which	which	PRON
bracis-19035	111	32	is	be	AUX
bracis-19035	111	33	the	the	DET
bracis-19035	111	34	sum	sum	NOUN
bracis-19035	111	35	of	of	ADP
bracis-19035	111	36	the	the	DET
bracis-19035	111	37	probabilities	probability	NOUN
bracis-19035	111	38	of	of	ADP
bracis-19035	111	39	the	the	DET
bracis-19035	111	40	\((n	\((n	NOUN
bracis-19035	111	41	k)\	k)\	NOUN
bracis-19035	111	42	)	)	PUNCT
bracis-19035	111	43	vertices	vertex	NOUN
bracis-19035	111	44	,	,	PUNCT
bracis-19035	111	45	where	where	SCONJ
bracis-19035	111	46	k	k	PROPN
bracis-19035	111	47	is	be	AUX
bracis-19035	111	48	the	the	DET
bracis-19035	111	49	number	number	NOUN
bracis-19035	111	50	of	of	ADP
bracis-19035	111	51	marked	mark	VERB
bracis-19035	111	52	vertices	vertex	NOUN
bracis-19035	111	53	.	.	PUNCT
bracis-19035	112	1	these	these	DET
bracis-19035	112	2	results	result	NOUN
bracis-19035	112	3	are	be	AUX
bracis-19035	112	4	shown	show	VERB
bracis-19035	112	5	in	in	ADP
bracis-19035	112	6	table	table	NOUN
bracis-19035	112	7	 	 	SPACE
bracis-19035	112	8	1	1	NUM
bracis-19035	112	9	.	.	PUNCT
bracis-19035	113	1	note	note	VERB
bracis-19035	113	2	the	the	DET
bracis-19035	113	3	column	column	NOUN
bracis-19035	113	4	of	of	ADP
bracis-19035	113	5	the	the	DET
bracis-19035	113	6	value	value	NOUN
bracis-19035	113	7	of	of	ADP
bracis-19035	113	8	\(p'\	\(p'\	ADJ
bracis-19035	113	9	)	)	PUNCT
bracis-19035	113	10	,	,	PUNCT
bracis-19035	113	11	which	which	PRON
bracis-19035	113	12	is	be	AUX
bracis-19035	113	13	composed	compose	VERB
bracis-19035	113	14	of	of	ADP
bracis-19035	113	15	the	the	DET
bracis-19035	113	16	value	value	NOUN
bracis-19035	113	17	of	of	ADP
bracis-19035	113	18	the	the	DET
bracis-19035	113	19	amplitudes	amplitude	NOUN
bracis-19035	113	20	of	of	ADP
bracis-19035	113	21	the	the	DET
bracis-19035	113	22	neighbors	neighbor	NOUN
bracis-19035	113	23	and	and	CCONJ
bracis-19035	113	24	the	the	DET
bracis-19035	113	25	amplitude	amplitude	NOUN
bracis-19035	113	26	of	of	ADP
bracis-19035	113	27	the	the	DET
bracis-19035	113	28	vertices	vertex	NOUN
bracis-19035	113	29	that	that	PRON
bracis-19035	113	30	are	be	AUX
bracis-19035	113	31	neither	neither	DET
bracis-19035	113	32	neighbors	neighbor	NOUN
bracis-19035	113	33	nor	nor	CCONJ
bracis-19035	113	34	marked	mark	VERB
bracis-19035	113	35	.	.	PUNCT
bracis-19035	114	1	the	the	DET
bracis-19035	114	2	probability	probability	NOUN
bracis-19035	114	3	of	of	ADP
bracis-19035	114	4	the	the	DET
bracis-19035	114	5	walker	walker	NOUN
bracis-19035	114	6	finding	find	VERB
bracis-19035	114	7	a	a	DET
bracis-19035	114	8	region	region	NOUN
bracis-19035	114	9	is	be	AUX
bracis-19035	114	10	high	high	ADJ
bracis-19035	114	11	because	because	SCONJ
bracis-19035	114	12	the	the	DET
bracis-19035	114	13	energy	energy	NOUN
bracis-19035	114	14	is	be	AUX
bracis-19035	114	15	concentrated	concentrate	VERB
bracis-19035	114	16	in	in	ADP
bracis-19035	114	17	the	the	DET
bracis-19035	114	18	neighboring	neighboring	NOUN
bracis-19035	114	19	region	region	NOUN
bracis-19035	114	20	.	.	PUNCT
bracis-19035	115	1	it	it	PRON
bracis-19035	115	2	is	be	AUX
bracis-19035	115	3	concluded	conclude	VERB
bracis-19035	115	4	that	that	SCONJ
bracis-19035	115	5	the	the	DET
bracis-19035	115	6	amplification	amplification	NOUN
bracis-19035	115	7	of	of	ADP
bracis-19035	115	8	the	the	DET
bracis-19035	115	9	neighborhood	neighborhood	NOUN
bracis-19035	115	10	around	around	ADP
bracis-19035	115	11	the	the	DET
bracis-19035	115	12	marked	mark	VERB
bracis-19035	115	13	vertices	vertex	NOUN
bracis-19035	115	14	interferes	interfere	VERB
bracis-19035	115	15	with	with	ADP
bracis-19035	115	16	the	the	DET
bracis-19035	115	17	probability	probability	NOUN
bracis-19035	115	18	of	of	ADP
bracis-19035	115	19	success	success	NOUN
bracis-19035	115	20	of	of	ADP
bracis-19035	115	21	finding	find	VERB
bracis-19035	115	22	a	a	DET
bracis-19035	115	23	target	target	NOUN
bracis-19035	115	24	vertex	vertex	NOUN
bracis-19035	115	25	.	.	PUNCT
bracis-19035	116	1	table	table	NOUN
bracis-19035	116	2	1	1	NUM
bracis-19035	116	3	.	.	PUNCT
bracis-19035	116	4	probabilities	probability	NOUN
bracis-19035	116	5	of	of	ADP
bracis-19035	116	6	success	success	NOUN
bracis-19035	116	7	of	of	ADP
bracis-19035	116	8	marked	mark	VERB
bracis-19035	116	9	and	and	CCONJ
bracis-19035	116	10	unmarked	unmarked	ADJ
bracis-19035	116	11	vertices.full	vertices.full	ADJ
bracis-19035	116	12	size	size	NOUN
bracis-19035	116	13	table	table	NOUN
bracis-19035	116	14	fig	fig	NOUN
bracis-19035	116	15	.	.	PUNCT
bracis-19035	117	1	3	3	X
bracis-19035	117	2	.	.	X
bracis-19035	117	3	probability	probability	NOUN
bracis-19035	117	4	of	of	ADP
bracis-19035	117	5	success	success	NOUN
bracis-19035	117	6	after	after	ADP
bracis-19035	117	7	100	100	NUM
bracis-19035	117	8	steps	step	NOUN
bracis-19035	117	9	with	with	ADP
bracis-19035	117	10	\(n	\(n	NOUN
bracis-19035	117	11	=	=	SYM
bracis-19035	117	12	10\	10\	NUM
bracis-19035	117	13	)	)	PUNCT
bracis-19035	117	14	and	and	CCONJ
bracis-19035	117	15	\(n	\(n	NOUN
bracis-19035	117	16	=	=	SYM
bracis-19035	117	17	1024\	1024\	NUM
bracis-19035	117	18	)	)	PUNCT
bracis-19035	117	19	vertices	vertex	NOUN
bracis-19035	117	20	.	.	PUNCT
bracis-19035	118	1	(	(	PUNCT
bracis-19035	118	2	a	a	X
bracis-19035	118	3	)	)	PUNCT
bracis-19035	118	4	shows	show	VERB
bracis-19035	118	5	the	the	DET
bracis-19035	118	6	probability	probability	NOUN
bracis-19035	118	7	of	of	ADP
bracis-19035	118	8	success	success	NOUN
bracis-19035	118	9	for	for	ADP
bracis-19035	118	10	one	one	NUM
bracis-19035	118	11	marked	mark	VERB
bracis-19035	118	12	vertex	vertex	NOUN
bracis-19035	118	13	and	and	CCONJ
bracis-19035	118	14	its	its	PRON
bracis-19035	118	15	neighbors	neighbor	NOUN
bracis-19035	118	16	.	.	PUNCT
bracis-19035	119	1	(	(	PUNCT
bracis-19035	119	2	b	b	X
bracis-19035	119	3	)	)	PUNCT
bracis-19035	119	4	shows	show	VERB
bracis-19035	119	5	the	the	DET
bracis-19035	119	6	probability	probability	NOUN
bracis-19035	119	7	of	of	ADP
bracis-19035	119	8	success	success	NOUN
bracis-19035	119	9	for	for	ADP
bracis-19035	119	10	four	four	NUM
bracis-19035	119	11	marked	mark	VERB
bracis-19035	119	12	vertices	vertex	NOUN
bracis-19035	119	13	and	and	CCONJ
bracis-19035	119	14	their	their	PRON
bracis-19035	119	15	neighbors	neighbor	NOUN
bracis-19035	119	16	.	.	PUNCT
bracis-19035	120	1	(	(	PUNCT
bracis-19035	120	2	color	color	NOUN
bracis-19035	120	3	figure	figure	NOUN
bracis-19035	120	4	online	online	ADV
bracis-19035	120	5	)	)	PUNCT
bracis-19035	120	6	full	full	ADJ
bracis-19035	120	7	size	size	NOUN
bracis-19035	120	8	image	image	NOUN
bracis-19035	120	9	3.2	3.2	NUM
bracis-19035	120	10	adjusting	adjust	VERB
bracis-19035	120	11	the	the	DET
bracis-19035	120	12	self	self	NOUN
bracis-19035	120	13	-	-	PUNCT
bracis-19035	120	14	loop	loop	NOUN
bracis-19035	120	15	weight	weight	NOUN
bracis-19035	120	16	for	for	ADP
bracis-19035	120	17	multiple	multiple	ADJ
bracis-19035	120	18	marked	mark	VERB
bracis-19035	120	19	vertices	vertex	NOUN
bracis-19035	120	20	many	many	ADJ
bracis-19035	120	21	works	work	NOUN
bracis-19035	120	22	have	have	AUX
bracis-19035	120	23	been	be	AUX
bracis-19035	120	24	proposed	propose	VERB
bracis-19035	120	25	with	with	ADP
bracis-19035	120	26	the	the	DET
bracis-19035	120	27	purpose	purpose	NOUN
bracis-19035	120	28	of	of	ADP
bracis-19035	120	29	improving	improve	VERB
bracis-19035	120	30	the	the	DET
bracis-19035	120	31	search	search	NOUN
bracis-19035	120	32	capacity	capacity	NOUN
bracis-19035	120	33	of	of	ADP
bracis-19035	120	34	quantum	quantum	ADJ
bracis-19035	120	35	algorithms	algorithm	NOUN
bracis-19035	120	36	.	.	PUNCT
bracis-19035	121	1	according	accord	VERB
bracis-19035	121	2	to	to	ADP
bracis-19035	121	3	wong	wong	PROPN
bracis-19035	121	4	 	 	SPACE
bracis-19035	121	5	[	[	X
bracis-19035	121	6	23	23	NUM
bracis-19035	121	7	]	]	PUNCT
bracis-19035	121	8	,	,	PUNCT
bracis-19035	121	9	adding	add	VERB
bracis-19035	121	10	a	a	DET
bracis-19035	121	11	self	self	NOUN
bracis-19035	121	12	-	-	PUNCT
bracis-19035	121	13	loop	loop	NOUN
bracis-19035	121	14	to	to	ADP
bracis-19035	121	15	each	each	DET
bracis-19035	121	16	vertex	vertex	NOUN
bracis-19035	121	17	boosts	boost	VERB
bracis-19035	121	18	the	the	DET
bracis-19035	121	19	success	success	NOUN
bracis-19035	121	20	probability	probability	NOUN
bracis-19035	121	21	from	from	ADP
bracis-19035	121	22	1/2	1/2	NUM
bracis-19035	121	23	to	to	ADP
bracis-19035	121	24	1	1	NUM
bracis-19035	121	25	.	.	PUNCT
bracis-19035	122	1	a	a	DET
bracis-19035	122	2	modification	modification	NOUN
bracis-19035	122	3	to	to	ADP
bracis-19035	122	4	the	the	DET
bracis-19035	122	5	initial	initial	ADJ
bracis-19035	122	6	state	state	NOUN
bracis-19035	122	7	in	in	ADP
bracis-19035	122	8	the	the	DET
bracis-19035	122	9	eq	eq	NOUN
bracis-19035	122	10	.	.	PUNCT
bracis-19035	122	11	 	 	SPACE
bracis-19035	122	12	3	3	NUM
bracis-19035	122	13	and	and	CCONJ
bracis-19035	122	14	to	to	AUX
bracis-19035	122	15	grover	grover	VERB
bracis-19035	122	16	’s	’s	PART
bracis-19035	122	17	coin	coin	NOUN
bracis-19035	122	18	in	in	ADP
bracis-19035	122	19	the	the	DET
bracis-19035	122	20	eq	eq	NOUN
bracis-19035	122	21	.	.	PUNCT
bracis-19035	122	22	 	 	SPACE
bracis-19035	122	23	4	4	NUM
bracis-19035	122	24	is	be	AUX
bracis-19035	122	25	needed	need	VERB
bracis-19035	122	26	so	so	SCONJ
bracis-19035	122	27	that	that	SCONJ
bracis-19035	122	28	the	the	DET
bracis-19035	122	29	self	self	NOUN
bracis-19035	122	30	-	-	PUNCT
bracis-19035	122	31	loop	loop	NOUN
bracis-19035	122	32	can	can	AUX
bracis-19035	122	33	be	be	AUX
bracis-19035	122	34	added	add	VERB
bracis-19035	122	35	.	.	PUNCT
bracis-19035	123	1	the	the	DET
bracis-19035	123	2	addition	addition	NOUN
bracis-19035	123	3	of	of	ADP
bracis-19035	123	4	the	the	DET
bracis-19035	123	5	self	self	NOUN
bracis-19035	123	6	-	-	PUNCT
bracis-19035	123	7	loop	loop	NOUN
bracis-19035	123	8	is	be	AUX
bracis-19035	123	9	described	describe	VERB
bracis-19035	123	10	in	in	ADP
bracis-19035	123	11	eq	eq	PROPN
bracis-19035	123	12	.	.	PUNCT
bracis-19035	123	13	 	 	SPACE
bracis-19035	123	14	7	7	NUM
bracis-19035	123	15	.	.	PUNCT
bracis-19035	124	1	thus	thus	ADV
bracis-19035	124	2	,	,	PUNCT
bracis-19035	124	3	the	the	DET
bracis-19035	124	4	coin	coin	NOUN
bracis-19035	124	5	space	space	NOUN
bracis-19035	124	6	is	be	AUX
bracis-19035	124	7	now	now	ADV
bracis-19035	124	8	an	an	DET
bracis-19035	124	9	\((n	\((n	NOUN
bracis-19035	124	10	+	+	PROPN
bracis-19035	124	11	1)\)-dimensional	1)\)-dimensional	ADJ
bracis-19035	124	12	space	space	NOUN
bracis-19035	124	13	[	[	X
bracis-19035	124	14	16	16	NUM
bracis-19035	124	15	]	]	PUNCT
bracis-19035	124	16	.	.	PUNCT
bracis-19035	125	1	(	(	PUNCT
bracis-19035	125	2	7	7	X
bracis-19035	125	3	)	)	PUNCT
bracis-19035	125	4	one	one	NUM
bracis-19035	125	5	of	of	ADP
bracis-19035	125	6	the	the	DET
bracis-19035	125	7	concerns	concern	NOUN
bracis-19035	125	8	when	when	SCONJ
bracis-19035	125	9	adding	add	VERB
bracis-19035	125	10	a	a	DET
bracis-19035	125	11	self	self	NOUN
bracis-19035	125	12	-	-	PUNCT
bracis-19035	125	13	loop	loop	NOUN
bracis-19035	125	14	at	at	ADP
bracis-19035	125	15	each	each	DET
bracis-19035	125	16	vertex	vertex	NOUN
bracis-19035	125	17	is	be	AUX
bracis-19035	125	18	knowing	know	VERB
bracis-19035	125	19	the	the	DET
bracis-19035	125	20	best	good	ADJ
bracis-19035	125	21	self	self	NOUN
bracis-19035	125	22	-	-	PUNCT
bracis-19035	125	23	loop	loop	NOUN
bracis-19035	125	24	value	value	NOUN
bracis-19035	125	25	.	.	PUNCT
bracis-19035	126	1	more	more	ADV
bracis-19035	126	2	specifically	specifically	ADV
bracis-19035	126	3	,	,	PUNCT
bracis-19035	126	4	in	in	ADP
bracis-19035	126	5	the	the	DET
bracis-19035	126	6	case	case	NOUN
bracis-19035	126	7	of	of	ADP
bracis-19035	126	8	the	the	DET
bracis-19035	126	9	quantum	quantum	ADJ
bracis-19035	126	10	walk	walk	NOUN
bracis-19035	126	11	on	on	ADP
bracis-19035	126	12	the	the	DET
bracis-19035	126	13	hypercube	hypercube	NOUN
bracis-19035	126	14	,	,	PUNCT
bracis-19035	126	15	rhodes	rhode	VERB
bracis-19035	126	16	 	 	SPACE
bracis-19035	127	1	[	[	X
bracis-19035	127	2	16	16	NUM
bracis-19035	127	3	]	]	PUNCT
bracis-19035	127	4	proposed	propose	VERB
bracis-19035	127	5	an	an	DET
bracis-19035	127	6	optimal	optimal	ADJ
bracis-19035	127	7	self	self	NOUN
bracis-19035	127	8	-	-	PUNCT
bracis-19035	127	9	loop	loop	NOUN
bracis-19035	127	10	value	value	NOUN
bracis-19035	127	11	$	$	SYM
bracis-19035	127	12	$	$	SYM
bracis-19035	127	13	\begin{aligned	\begin{aligne	VERB
bracis-19035	127	14	}	}	PUNCT
bracis-19035	127	15	l	l	NOUN
bracis-19035	127	16	=	=	SYM
bracis-19035	127	17	\frac{d}{n	\frac{d}{n	PROPN
bracis-19035	127	18	}	}	PUNCT
bracis-19035	127	19	,	,	PUNCT
bracis-19035	127	20	\end{aligned}$$	\end{aligned}$$	X
bracis-19035	127	21	(	(	PUNCT
bracis-19035	127	22	8)	8)	NUM
bracis-19035	127	23	where	where	SCONJ
bracis-19035	127	24	d	d	NOUN
bracis-19035	127	25	is	be	AUX
bracis-19035	127	26	equal	equal	ADJ
bracis-19035	127	27	to	to	ADP
bracis-19035	127	28	the	the	DET
bracis-19035	127	29	degree	degree	NOUN
bracis-19035	127	30	of	of	ADP
bracis-19035	127	31	the	the	DET
bracis-19035	127	32	loopless	loopless	NOUN
bracis-19035	127	33	graph	graph	NOUN
bracis-19035	127	34	and	and	CCONJ
bracis-19035	127	35	n	n	NOUN
bracis-19035	127	36	is	be	AUX
bracis-19035	127	37	the	the	DET
bracis-19035	127	38	number	number	NOUN
bracis-19035	127	39	of	of	ADP
bracis-19035	127	40	vertices	vertex	NOUN
bracis-19035	127	41	in	in	ADP
bracis-19035	127	42	the	the	DET
bracis-19035	127	43	hypercube	hypercube	NOUN
bracis-19035	127	44	.	.	PUNCT
bracis-19035	128	1	recently	recently	ADV
bracis-19035	128	2	,	,	PUNCT
bracis-19035	128	3	two	two	NUM
bracis-19035	128	4	works	work	NOUN
bracis-19035	128	5	showed	show	VERB
bracis-19035	128	6	that	that	SCONJ
bracis-19035	128	7	inserting	insert	VERB
bracis-19035	128	8	the	the	DET
bracis-19035	128	9	number	number	NOUN
bracis-19035	128	10	of	of	ADP
bracis-19035	128	11	marked	mark	VERB
bracis-19035	128	12	vertices	vertex	NOUN
bracis-19035	128	13	in	in	ADP
bracis-19035	128	14	calculating	calculate	VERB
bracis-19035	128	15	the	the	DET
bracis-19035	128	16	self	self	NOUN
bracis-19035	128	17	-	-	PUNCT
bracis-19035	128	18	loop	loop	NOUN
bracis-19035	128	19	value	value	NOUN
bracis-19035	128	20	optimizes	optimize	VERB
bracis-19035	128	21	quantum	quantum	NOUN
bracis-19035	128	22	walks	walk	NOUN
bracis-19035	128	23	.	.	PUNCT
bracis-19035	129	1	carvalho	carvalho	PROPN
bracis-19035	129	2	 	 	SPACE
bracis-19035	130	1	[	[	X
bracis-19035	130	2	6	6	NUM
bracis-19035	130	3	]	]	PUNCT
bracis-19035	130	4	shows	show	VERB
bracis-19035	130	5	that	that	SCONJ
bracis-19035	130	6	the	the	DET
bracis-19035	130	7	optimal	optimal	ADJ
bracis-19035	130	8	value	value	NOUN
bracis-19035	130	9	of	of	ADP
bracis-19035	130	10	the	the	DET
bracis-19035	130	11	self	self	NOUN
bracis-19035	130	12	-	-	PUNCT
bracis-19035	130	13	loop	loop	NOUN
bracis-19035	130	14	for	for	ADP
bracis-19035	130	15	quantum	quantum	NOUN
bracis-19035	130	16	walks	walk	NOUN
bracis-19035	130	17	in	in	ADP
bracis-19035	130	18	d	d	ADJ
bracis-19035	130	19	-	-	ADJ
bracis-19035	130	20	dimensional	dimensional	ADJ
bracis-19035	130	21	grids	grid	NOUN
bracis-19035	130	22	with	with	ADP
bracis-19035	130	23	multiple	multiple	ADJ
bracis-19035	130	24	marked	mark	VERB
bracis-19035	130	25	vertices	vertex	NOUN
bracis-19035	130	26	is	be	AUX
bracis-19035	130	27	$	$	SYM
bracis-19035	130	28	$	$	SYM
bracis-19035	130	29	\begin{aligned	\begin{aligne	VERB
bracis-19035	130	30	}	}	PUNCT
bracis-19035	130	31	l	l	NOUN
bracis-19035	130	32	=	=	SYM
bracis-19035	130	33	\frac{2dm}{n	\frac{2dm}{n	NOUN
bracis-19035	130	34	}	}	PUNCT
bracis-19035	130	35	,	,	PUNCT
bracis-19035	130	36	\end{aligned}$$	\end{aligned}$$	VERB
bracis-19035	130	37	where	where	SCONJ
bracis-19035	130	38	2d	2d	NOUN
bracis-19035	130	39	is	be	AUX
bracis-19035	130	40	the	the	DET
bracis-19035	130	41	number	number	NOUN
bracis-19035	130	42	of	of	ADP
bracis-19035	130	43	movements	movement	NOUN
bracis-19035	130	44	the	the	DET
bracis-19035	130	45	walker	walker	NOUN
bracis-19035	130	46	can	can	AUX
bracis-19035	130	47	do	do	VERB
bracis-19035	130	48	,	,	PUNCT
bracis-19035	130	49	not	not	PART
bracis-19035	130	50	counting	count	VERB
bracis-19035	130	51	the	the	DET
bracis-19035	130	52	self	self	NOUN
bracis-19035	130	53	-	-	PUNCT
bracis-19035	130	54	loop	loop	NOUN
bracis-19035	130	55	,	,	PUNCT
bracis-19035	130	56	m	m	VERB
bracis-19035	130	57	the	the	DET
bracis-19035	130	58	number	number	NOUN
bracis-19035	130	59	of	of	ADP
bracis-19035	130	60	marked	mark	VERB
bracis-19035	130	61	vertices	vertex	NOUN
bracis-19035	130	62	,	,	PUNCT
bracis-19035	130	63	and	and	CCONJ
bracis-19035	130	64	n	n	CCONJ
bracis-19035	130	65	the	the	DET
bracis-19035	130	66	number	number	NOUN
bracis-19035	130	67	of	of	ADP
bracis-19035	130	68	vertices	vertex	NOUN
bracis-19035	130	69	of	of	ADP
bracis-19035	130	70	the	the	DET
bracis-19035	130	71	grid	grid	NOUN
bracis-19035	130	72	.	.	PUNCT
bracis-19035	131	1	nahimovs	nahimovs	PROPN
bracis-19035	131	2	 	 	SPACE
bracis-19035	132	1	[	[	X
bracis-19035	132	2	12	12	NUM
bracis-19035	132	3	]	]	PUNCT
bracis-19035	132	4	shows	show	VERB
bracis-19035	132	5	that	that	SCONJ
bracis-19035	132	6	for	for	ADP
bracis-19035	132	7	different	different	ADJ
bracis-19035	132	8	types	type	NOUN
bracis-19035	132	9	of	of	ADP
bracis-19035	132	10	two	two	NUM
bracis-19035	132	11	-	-	PUNCT
bracis-19035	132	12	dimensional	dimensional	ADJ
bracis-19035	132	13	grids	grid	NOUN
bracis-19035	132	14	triangular	triangular	NOUN
bracis-19035	132	15	,	,	PUNCT
bracis-19035	132	16	rectangular	rectangular	ADJ
bracis-19035	132	17	,	,	PUNCT
bracis-19035	132	18	and	and	CCONJ
bracis-19035	132	19	honeycomb	honeycomb	VERB
bracis-19035	132	20	the	the	DET
bracis-19035	132	21	optimal	optimal	ADJ
bracis-19035	132	22	self	self	NOUN
bracis-19035	132	23	-	-	PUNCT
bracis-19035	132	24	loop	loop	NOUN
bracis-19035	132	25	value	value	NOUN
bracis-19035	132	26	is	be	AUX
bracis-19035	132	27	also	also	ADV
bracis-19035	132	28	,	,	PUNCT
bracis-19035	132	29	$	$	SYM
bracis-19035	132	30	$	$	SYM
bracis-19035	132	31	\begin{aligned	\begin{aligne	VERB
bracis-19035	132	32	}	}	PUNCT
bracis-19035	132	33	l	l	NOUN
bracis-19035	132	34	=	=	PUNCT
bracis-19035	132	35	\frac{m\cdot	\frac{m\cdot	NUM
bracis-19035	132	36	d}{n	d}{n	NOUN
bracis-19035	132	37	}	}	PUNCT
bracis-19035	132	38	\end{aligned}$$	\end{aligned}$$	ADP
bracis-19035	132	39	where	where	SCONJ
bracis-19035	132	40	d	d	NOUN
bracis-19035	132	41	is	be	AUX
bracis-19035	132	42	the	the	DET
bracis-19035	132	43	degree	degree	NOUN
bracis-19035	132	44	of	of	ADP
bracis-19035	132	45	the	the	DET
bracis-19035	132	46	vertex	vertex	NOUN
bracis-19035	132	47	,	,	PUNCT
bracis-19035	132	48	m	m	VERB
bracis-19035	132	49	is	be	AUX
bracis-19035	132	50	the	the	DET
bracis-19035	132	51	number	number	NOUN
bracis-19035	132	52	of	of	ADP
bracis-19035	132	53	marked	mark	VERB
bracis-19035	132	54	vertices	vertex	NOUN
bracis-19035	132	55	,	,	PUNCT
bracis-19035	132	56	and	and	CCONJ
bracis-19035	132	57	n	n	PRON
bracis-19035	132	58	is	be	AUX
bracis-19035	132	59	the	the	DET
bracis-19035	132	60	number	number	NOUN
bracis-19035	132	61	of	of	ADP
bracis-19035	132	62	vertices	vertex	NOUN
bracis-19035	132	63	of	of	ADP
bracis-19035	132	64	the	the	DET
bracis-19035	132	65	grid	grid	NOUN
bracis-19035	132	66	.	.	PUNCT
bracis-19035	133	1	fig	fig	NOUN
bracis-19035	133	2	.	.	PUNCT
bracis-19035	134	1	4	4	X
bracis-19035	134	2	.	.	X
bracis-19035	134	3	comparison	comparison	NOUN
bracis-19035	134	4	between	between	ADP
bracis-19035	134	5	multiple	multiple	ADJ
bracis-19035	134	6	self	self	NOUN
bracis-19035	134	7	-	-	PUNCT
bracis-19035	134	8	loops	loop	NOUN
bracis-19035	134	9	values	value	NOUN
bracis-19035	134	10	and	and	CCONJ
bracis-19035	134	11	\(l	\(l	NOUN
bracis-19035	134	12	=	=	SYM
bracis-19035	134	13	(	(	PUNCT
bracis-19035	134	14	n	n	CCONJ
bracis-19035	134	15	/	/	SYM
bracis-19035	134	16	n)\	n)\	NOUN
bracis-19035	134	17	)	)	PUNCT
bracis-19035	134	18	.	.	PUNCT
bracis-19035	135	1	(	(	PUNCT
bracis-19035	135	2	a	a	X
bracis-19035	135	3	)	)	PUNCT
bracis-19035	135	4	shows	show	VERB
bracis-19035	135	5	the	the	DET
bracis-19035	135	6	success	success	NOUN
bracis-19035	135	7	probability	probability	NOUN
bracis-19035	135	8	for	for	ADP
bracis-19035	135	9	one	one	NUM
bracis-19035	135	10	marked	mark	VERB
bracis-19035	135	11	vertex	vertex	NOUN
bracis-19035	135	12	.	.	PUNCT
bracis-19035	136	1	(	(	PUNCT
bracis-19035	136	2	b	b	X
bracis-19035	136	3	)	)	PUNCT
bracis-19035	136	4	shows	show	VERB
bracis-19035	136	5	the	the	DET
bracis-19035	136	6	success	success	NOUN
bracis-19035	136	7	probability	probability	NOUN
bracis-19035	136	8	for	for	ADP
bracis-19035	136	9	two	two	NUM
bracis-19035	136	10	marked	mark	VERB
bracis-19035	136	11	vertices	vertex	NOUN
bracis-19035	136	12	.	.	PUNCT
bracis-19035	137	1	(	(	PUNCT
bracis-19035	137	2	c	c	X
bracis-19035	137	3	)	)	PUNCT
bracis-19035	137	4	shows	show	VERB
bracis-19035	137	5	the	the	DET
bracis-19035	137	6	success	success	NOUN
bracis-19035	137	7	probability	probability	NOUN
bracis-19035	137	8	for	for	ADP
bracis-19035	137	9	three	three	NUM
bracis-19035	137	10	marked	mark	VERB
bracis-19035	137	11	vertices	vertex	NOUN
bracis-19035	137	12	.	.	PUNCT
bracis-19035	138	1	(	(	PUNCT
bracis-19035	138	2	d	d	X
bracis-19035	138	3	)	)	PUNCT
bracis-19035	138	4	shows	show	VERB
bracis-19035	138	5	the	the	DET
bracis-19035	138	6	success	success	NOUN
bracis-19035	138	7	probability	probability	NOUN
bracis-19035	138	8	for	for	ADP
bracis-19035	138	9	four	four	NUM
bracis-19035	138	10	marked	mark	VERB
bracis-19035	138	11	vertices	vertex	NOUN
bracis-19035	138	12	.	.	PUNCT
bracis-19035	139	1	(	(	PUNCT
bracis-19035	139	2	color	color	NOUN
bracis-19035	139	3	figure	figure	NOUN
bracis-19035	139	4	online	online	ADV
bracis-19035	139	5	)	)	PUNCT
bracis-19035	139	6	full	full	ADJ
bracis-19035	139	7	size	size	NOUN
bracis-19035	139	8	image	image	NOUN
bracis-19035	139	9	figure	figure	NOUN
bracis-19035	139	10	 	 	SPACE
bracis-19035	139	11	4a	4a	NOUN
bracis-19035	139	12	shows	show	VERB
bracis-19035	139	13	the	the	DET
bracis-19035	139	14	probability	probability	NOUN
bracis-19035	139	15	of	of	ADP
bracis-19035	139	16	success	success	NOUN
bracis-19035	139	17	after	after	ADP
bracis-19035	139	18	two	two	NUM
bracis-19035	139	19	hundred	hundred	NUM
bracis-19035	139	20	steps	step	NOUN
bracis-19035	139	21	for	for	ADP
bracis-19035	139	22	one	one	NUM
bracis-19035	139	23	marked	mark	VERB
bracis-19035	139	24	vertex	vertex	NOUN
bracis-19035	139	25	.	.	PUNCT
bracis-19035	140	1	here	here	ADV
bracis-19035	140	2	,	,	PUNCT
bracis-19035	140	3	the	the	DET
bracis-19035	140	4	values	value	NOUN
bracis-19035	140	5	of	of	ADP
bracis-19035	140	6	l	l	NOUN
bracis-19035	140	7	were	be	AUX
bracis-19035	140	8	the	the	DET
bracis-19035	140	9	same	same	ADJ
bracis-19035	140	10	as	as	SCONJ
bracis-19035	140	11	used	use	VERB
bracis-19035	140	12	by	by	ADP
bracis-19035	140	13	rhodes	rhode	NOUN
bracis-19035	140	14	.	.	PUNCT
bracis-19035	141	1	the	the	DET
bracis-19035	141	2	dashed	dash	VERB
bracis-19035	141	3	red	red	ADJ
bracis-19035	141	4	curve	curve	NOUN
bracis-19035	141	5	has	have	VERB
bracis-19035	141	6	the	the	DET
bracis-19035	141	7	optimum	optimum	ADJ
bracis-19035	141	8	value	value	NOUN
bracis-19035	141	9	of	of	ADP
bracis-19035	141	10	l.	l.	PROPN
bracis-19035	141	11	our	our	PRON
bracis-19035	141	12	interest	interest	NOUN
bracis-19035	141	13	was	be	AUX
bracis-19035	141	14	to	to	PART
bracis-19035	141	15	investigate	investigate	VERB
bracis-19035	141	16	whether	whether	SCONJ
bracis-19035	141	17	the	the	DET
bracis-19035	141	18	value	value	NOUN
bracis-19035	141	19	of	of	ADP
bracis-19035	141	20	l	l	NOUN
bracis-19035	141	21	described	describe	VERB
bracis-19035	141	22	in	in	ADP
bracis-19035	141	23	eq	eq	PROPN
bracis-19035	141	24	.	.	PUNCT
bracis-19035	141	25	 	 	SPACE
bracis-19035	141	26	8	8	NUM
bracis-19035	141	27	also	also	ADV
bracis-19035	141	28	improved	improve	VERB
bracis-19035	141	29	the	the	DET
bracis-19035	141	30	walk	walk	NOUN
bracis-19035	141	31	results	result	NOUN
bracis-19035	141	32	for	for	ADP
bracis-19035	141	33	a	a	DET
bracis-19035	141	34	number	number	NOUN
bracis-19035	141	35	(	(	PUNCT
bracis-19035	141	36	\(k>1\	\(k>1\	PROPN
bracis-19035	141	37	)	)	PUNCT
bracis-19035	141	38	)	)	PUNCT
bracis-19035	141	39	of	of	ADP
bracis-19035	141	40	marked	mark	VERB
bracis-19035	141	41	vertices	vertex	NOUN
bracis-19035	141	42	.	.	PUNCT
bracis-19035	142	1	for	for	ADP
bracis-19035	142	2	this	this	PRON
bracis-19035	142	3	,	,	PUNCT
bracis-19035	142	4	we	we	PRON
bracis-19035	142	5	performed	perform	VERB
bracis-19035	142	6	three	three	NUM
bracis-19035	142	7	more	more	ADJ
bracis-19035	142	8	experiments	experiment	NOUN
bracis-19035	142	9	where	where	SCONJ
bracis-19035	142	10	we	we	PRON
bracis-19035	142	11	increased	increase	VERB
bracis-19035	142	12	the	the	DET
bracis-19035	142	13	number	number	NOUN
bracis-19035	142	14	of	of	ADP
bracis-19035	142	15	marked	mark	VERB
bracis-19035	142	16	vertices	vertex	NOUN
bracis-19035	142	17	up	up	ADP
bracis-19035	142	18	 	 	SPACE
bracis-19035	142	19	to	to	ADP
bracis-19035	142	20	four	four	NUM
bracis-19035	142	21	.	.	PUNCT
bracis-19035	143	1	as	as	SCONJ
bracis-19035	143	2	we	we	PRON
bracis-19035	143	3	added	add	VERB
bracis-19035	143	4	the	the	DET
bracis-19035	143	5	marked	mark	VERB
bracis-19035	143	6	vertices	vertex	NOUN
bracis-19035	143	7	the	the	DET
bracis-19035	143	8	success	success	NOUN
bracis-19035	143	9	probability	probability	NOUN
bracis-19035	143	10	of	of	ADP
bracis-19035	143	11	the	the	DET
bracis-19035	143	12	dashed	dash	VERB
bracis-19035	143	13	red	red	ADJ
bracis-19035	143	14	curve	curve	NOUN
bracis-19035	143	15	decreased	decrease	VERB
bracis-19035	143	16	to	to	ADP
bracis-19035	143	17	\(88.7\%\	\(88.7\%\	NOUN
bracis-19035	143	18	)	)	PUNCT
bracis-19035	143	19	(	(	PUNCT
bracis-19035	143	20	4b	4b	PROPN
bracis-19035	143	21	)	)	PUNCT
bracis-19035	143	22	while	while	SCONJ
bracis-19035	143	23	the	the	DET
bracis-19035	143	24	success	success	NOUN
bracis-19035	143	25	probability	probability	NOUN
bracis-19035	143	26	of	of	ADP
bracis-19035	143	27	the	the	DET
bracis-19035	143	28	dotted	dotted	ADJ
bracis-19035	143	29	purple	purple	ADJ
bracis-19035	143	30	curve	curve	NOUN
bracis-19035	143	31	increased	increase	VERB
bracis-19035	143	32	to	to	ADP
bracis-19035	143	33	\(99.8\%\	\(99.8\%\	PROPN
bracis-19035	143	34	)	)	PUNCT
bracis-19035	143	35	(	(	PUNCT
bracis-19035	143	36	4b	4b	PROPN
bracis-19035	143	37	)	)	PUNCT
bracis-19035	143	38	but	but	CCONJ
bracis-19035	143	39	then	then	ADV
bracis-19035	143	40	also	also	ADV
bracis-19035	143	41	decreased	decrease	VERB
bracis-19035	143	42	to	to	ADP
bracis-19035	143	43	\(96.2\%\	\(96.2\%\	NOUN
bracis-19035	143	44	)	)	PUNCT
bracis-19035	143	45	(	(	PUNCT
bracis-19035	143	46	4c	4c	NOUN
bracis-19035	143	47	)	)	PUNCT
bracis-19035	143	48	and	and	CCONJ
bracis-19035	143	49	\(89.3\%\	\(89.3\%\	PROPN
bracis-19035	143	50	)	)	PUNCT
bracis-19035	143	51	(	(	PUNCT
bracis-19035	143	52	4d	4d	NUM
bracis-19035	143	53	)	)	PUNCT
bracis-19035	143	54	.	.	PUNCT
bracis-19035	144	1	it	it	PRON
bracis-19035	144	2	indicates	indicate	VERB
bracis-19035	144	3	that	that	SCONJ
bracis-19035	144	4	a	a	DET
bracis-19035	144	5	new	new	ADJ
bracis-19035	144	6	value	value	NOUN
bracis-19035	144	7	of	of	ADP
bracis-19035	144	8	l	l	NOUN
bracis-19035	144	9	is	be	AUX
bracis-19035	144	10	required	require	VERB
bracis-19035	144	11	when	when	SCONJ
bracis-19035	144	12	the	the	DET
bracis-19035	144	13	number	number	NOUN
bracis-19035	144	14	of	of	ADP
bracis-19035	144	15	marked	mark	VERB
bracis-19035	144	16	vertices	vertex	NOUN
bracis-19035	144	17	increases	increase	NOUN
bracis-19035	144	18	.	.	PUNCT
bracis-19035	145	1	to	to	PART
bracis-19035	145	2	find	find	VERB
bracis-19035	145	3	the	the	DET
bracis-19035	145	4	optimal	optimal	ADJ
bracis-19035	145	5	self	self	NOUN
bracis-19035	145	6	-	-	PUNCT
bracis-19035	145	7	loop	loop	NOUN
bracis-19035	145	8	for	for	ADP
bracis-19035	145	9	multiple	multiple	ADJ
bracis-19035	145	10	marked	mark	VERB
bracis-19035	145	11	vertices	vertex	NOUN
bracis-19035	145	12	,	,	PUNCT
bracis-19035	145	13	we	we	PRON
bracis-19035	145	14	defined	define	VERB
bracis-19035	145	15	a	a	DET
bracis-19035	145	16	set	set	NOUN
bracis-19035	145	17	of	of	ADP
bracis-19035	145	18	values	value	NOUN
bracis-19035	145	19	in	in	ADP
bracis-19035	145	20	the	the	DET
bracis-19035	145	21	form	form	NOUN
bracis-19035	145	22	\(l	\(l	NOUN
bracis-19035	145	23	'	'	PUNCT
bracis-19035	145	24	=	=	SYM
bracis-19035	145	25	(	(	PUNCT
bracis-19035	145	26	\alpha	\alpha	ADJ
bracis-19035	145	27	\cdot	\cdot	NOUN
bracis-19035	145	28	l)\	l)\	NUM
bracis-19035	145	29	)	)	PUNCT
bracis-19035	145	30	,	,	PUNCT
bracis-19035	145	31	where	where	SCONJ
bracis-19035	145	32	\(\alpha	\(\alpha	PROPN
bracis-19035	145	33	\in	\in	PROPN
bracis-19035	145	34	\mathbb	\mathbb	PROPN
bracis-19035	145	35	{	{	PUNCT
bracis-19035	145	36	n}\	n}\	NUM
bracis-19035	145	37	)	)	PUNCT
bracis-19035	145	38	.	.	PUNCT
bracis-19035	146	1	figure	figure	NOUN
bracis-19035	146	2	 	 	SPACE
bracis-19035	146	3	5	5	NUM
bracis-19035	146	4	compares	compare	VERB
bracis-19035	146	5	the	the	DET
bracis-19035	146	6	probability	probability	NOUN
bracis-19035	146	7	of	of	ADP
bracis-19035	146	8	success	success	NOUN
bracis-19035	146	9	for	for	ADP
bracis-19035	146	10	a	a	DET
bracis-19035	146	11	set	set	NOUN
bracis-19035	146	12	of	of	ADP
bracis-19035	146	13	marked	mark	VERB
bracis-19035	146	14	vertices	vertex	NOUN
bracis-19035	146	15	,	,	PUNCT
bracis-19035	146	16	\(k	\(k	NOUN
bracis-19035	146	17	=	=	SYM
bracis-19035	146	18	\{2	\{2	NOUN
bracis-19035	146	19	,	,	PUNCT
bracis-19035	146	20	3	3	NUM
bracis-19035	146	21	,	,	PUNCT
bracis-19035	146	22	5	5	NUM
bracis-19035	146	23	,	,	PUNCT
bracis-19035	146	24	14	14	NUM
bracis-19035	146	25	,	,	PUNCT
bracis-19035	146	26	17\}\	17\}\	NUM
bracis-19035	146	27	)	)	PUNCT
bracis-19035	146	28	,	,	PUNCT
bracis-19035	146	29	these	these	DET
bracis-19035	146	30	vertices	vertex	NOUN
bracis-19035	146	31	were	be	AUX
bracis-19035	146	32	chosen	choose	VERB
bracis-19035	146	33	randomly	randomly	ADV
bracis-19035	146	34	as	as	ADV
bracis-19035	146	35	well	well	ADV
bracis-19035	146	36	as	as	ADP
bracis-19035	146	37	their	their	PRON
bracis-19035	146	38	number	number	NOUN
bracis-19035	146	39	.	.	PUNCT
bracis-19035	147	1	the	the	DET
bracis-19035	147	2	self	self	NOUN
bracis-19035	147	3	-	-	PUNCT
bracis-19035	147	4	loop	loop	NOUN
bracis-19035	147	5	values	value	NOUN
bracis-19035	147	6	for	for	ADP
bracis-19035	147	7	these	these	DET
bracis-19035	147	8	vertex	vertex	NOUN
bracis-19035	147	9	numbers	number	NOUN
bracis-19035	147	10	are	be	AUX
bracis-19035	147	11	\(\alpha	\(\alpha	ADJ
bracis-19035	147	12	\cdot	\cdot	NOUN
bracis-19035	147	13	l\	l\	NOUN
bracis-19035	147	14	)	)	PUNCT
bracis-19035	147	15	,	,	PUNCT
bracis-19035	147	16	where	where	SCONJ
bracis-19035	147	17	\(l	\(l	NOUN
bracis-19035	147	18	=	=	SYM
bracis-19035	147	19	(	(	PUNCT
bracis-19035	147	20	d	d	NOUN
bracis-19035	147	21	/	/	SYM
bracis-19035	147	22	n)\	n)\	ADJ
bracis-19035	147	23	)	)	PUNCT
bracis-19035	147	24	and	and	CCONJ
bracis-19035	147	25	\(\alpha	\(\alpha	NOUN
bracis-19035	147	26	=	=	SYM
bracis-19035	147	27	\{1	\{1	NUM
bracis-19035	147	28	,	,	PUNCT
bracis-19035	147	29	2	2	NUM
bracis-19035	147	30	,	,	PUNCT
bracis-19035	147	31	3,	3,	ADJ
bracis-19035	147	32	...	...	SYM
bracis-19035	147	33	\}\	\}\	NUM
bracis-19035	147	34	)	)	PUNCT
bracis-19035	147	35	.	.	PUNCT
bracis-19035	148	1	note	note	VERB
bracis-19035	148	2	that	that	SCONJ
bracis-19035	148	3	the	the	DET
bracis-19035	148	4	curves	curve	NOUN
bracis-19035	148	5	have	have	VERB
bracis-19035	148	6	their	their	PRON
bracis-19035	148	7	maximum	maximum	ADJ
bracis-19035	148	8	points	point	NOUN
bracis-19035	148	9	exactly	exactly	ADV
bracis-19035	148	10	at	at	ADP
bracis-19035	148	11	the	the	DET
bracis-19035	148	12	locations	location	NOUN
bracis-19035	148	13	on	on	ADP
bracis-19035	148	14	the	the	DET
bracis-19035	148	15	x	x	NOUN
bracis-19035	148	16	-	-	NOUN
bracis-19035	148	17	axis	axis	NOUN
bracis-19035	148	18	where	where	SCONJ
bracis-19035	148	19	the	the	DET
bracis-19035	148	20	\(l'\	\(l'\	PROPN
bracis-19035	148	21	)	)	PUNCT
bracis-19035	148	22	values	value	NOUN
bracis-19035	148	23	are	be	AUX
bracis-19035	148	24	.	.	PUNCT
bracis-19035	149	1	we	we	PRON
bracis-19035	149	2	can	can	AUX
bracis-19035	149	3	conclude	conclude	VERB
bracis-19035	149	4	that	that	SCONJ
bracis-19035	149	5	the	the	DET
bracis-19035	149	6	value	value	NOUN
bracis-19035	149	7	of	of	ADP
bracis-19035	149	8	(	(	PUNCT
bracis-19035	149	9	\(\alpha	\(\alpha	NOUN
bracis-19035	149	10	=	=	SYM
bracis-19035	149	11	k\	k\	NOUN
bracis-19035	149	12	)	)	PUNCT
bracis-19035	149	13	)	)	PUNCT
bracis-19035	149	14	.	.	PUNCT
bracis-19035	150	1	therefore	therefore	ADV
bracis-19035	150	2	,	,	PUNCT
bracis-19035	150	3	we	we	PRON
bracis-19035	150	4	can	can	AUX
bracis-19035	150	5	set	set	VERB
bracis-19035	150	6	the	the	DET
bracis-19035	150	7	value	value	NOUN
bracis-19035	150	8	of	of	ADP
bracis-19035	150	9	l	l	NOUN
bracis-19035	150	10	for	for	ADP
bracis-19035	150	11	multiple	multiple	ADJ
bracis-19035	150	12	marked	mark	VERB
bracis-19035	150	13	vertices	vertex	NOUN
bracis-19035	150	14	for	for	ADP
bracis-19035	150	15	the	the	DET
bracis-19035	150	16	quantum	quantum	ADJ
bracis-19035	150	17	walk	walk	NOUN
bracis-19035	150	18	in	in	ADP
bracis-19035	150	19	the	the	DET
bracis-19035	150	20	hypercube	hypercube	NOUN
bracis-19035	150	21	,	,	PUNCT
bracis-19035	150	22	$	$	SYM
bracis-19035	150	23	$	$	SYM
bracis-19035	150	24	\begin{aligned	\begin{aligne	VERB
bracis-19035	150	25	}	}	PUNCT
bracis-19035	150	26	l	l	NOUN
bracis-19035	150	27	'	'	PUNCT
bracis-19035	150	28	=	=	SYM
bracis-19035	150	29	\frac{n}{n	\frac{n}{n	NOUN
bracis-19035	150	30	}	}	PUNCT
bracis-19035	150	31	\cdot	\cdot	PROPN
bracis-19035	150	32	k	k	PROPN
bracis-19035	150	33	\end{aligned}$$	\end{aligned}$$	PROPN
bracis-19035	150	34	(	(	PUNCT
bracis-19035	150	35	9	9	NUM
bracis-19035	150	36	)	)	PUNCT
bracis-19035	150	37	where	where	SCONJ
bracis-19035	150	38	n	n	PRON
bracis-19035	150	39	is	be	AUX
bracis-19035	150	40	equal	equal	ADJ
bracis-19035	150	41	to	to	ADP
bracis-19035	150	42	the	the	DET
bracis-19035	150	43	degree	degree	NOUN
bracis-19035	150	44	of	of	ADP
bracis-19035	150	45	the	the	DET
bracis-19035	150	46	loopless	loopless	NOUN
bracis-19035	150	47	vertex	vertex	NOUN
bracis-19035	150	48	of	of	ADP
bracis-19035	150	49	the	the	DET
bracis-19035	150	50	hypercube	hypercube	NOUN
bracis-19035	150	51	,	,	PUNCT
bracis-19035	150	52	n	n	CCONJ
bracis-19035	150	53	the	the	DET
bracis-19035	150	54	number	number	NOUN
bracis-19035	150	55	of	of	ADP
bracis-19035	150	56	vertices	vertex	NOUN
bracis-19035	150	57	in	in	ADP
bracis-19035	150	58	the	the	DET
bracis-19035	150	59	hypercube	hypercube	NOUN
bracis-19035	150	60	,	,	PUNCT
bracis-19035	150	61	and	and	CCONJ
bracis-19035	150	62	k	k	X
bracis-19035	150	63	the	the	DET
bracis-19035	150	64	number	number	NOUN
bracis-19035	150	65	of	of	ADP
bracis-19035	150	66	marked	mark	VERB
bracis-19035	150	67	vertices	vertex	NOUN
bracis-19035	150	68	.	.	PUNCT
bracis-19035	151	1	the	the	DET
bracis-19035	151	2	self	self	NOUN
bracis-19035	151	3	-	-	PUNCT
bracis-19035	151	4	loop	loop	NOUN
bracis-19035	151	5	value	value	NOUN
bracis-19035	151	6	shown	show	VERB
bracis-19035	151	7	by	by	ADP
bracis-19035	151	8	nahimovs	nahimovs	NOUN
bracis-19035	151	9	 	 	SPACE
bracis-19035	152	1	[	[	X
bracis-19035	152	2	12	12	NUM
bracis-19035	152	3	]	]	PUNCT
bracis-19035	152	4	for	for	ADP
bracis-19035	152	5	the	the	DET
bracis-19035	152	6	quantum	quantum	ADJ
bracis-19035	152	7	search	search	NOUN
bracis-19035	152	8	in	in	ADP
bracis-19035	152	9	various	various	ADJ
bracis-19035	152	10	types	type	NOUN
bracis-19035	152	11	of	of	ADP
bracis-19035	152	12	two	two	NUM
bracis-19035	152	13	-	-	PUNCT
bracis-19035	152	14	dimensional	dimensional	ADJ
bracis-19035	152	15	grids	grid	NOUN
bracis-19035	152	16	coincides	coincide	VERB
bracis-19035	152	17	with	with	ADP
bracis-19035	152	18	the	the	DET
bracis-19035	152	19	optimal	optimal	ADJ
bracis-19035	152	20	self	self	NOUN
bracis-19035	152	21	-	-	PUNCT
bracis-19035	152	22	loop	loop	NOUN
bracis-19035	152	23	value	value	NOUN
bracis-19035	152	24	for	for	ADP
bracis-19035	152	25	the	the	DET
bracis-19035	152	26	search	search	NOUN
bracis-19035	152	27	for	for	ADP
bracis-19035	152	28	a	a	DET
bracis-19035	152	29	quantum	quantum	ADJ
bracis-19035	152	30	walk	walk	NOUN
bracis-19035	152	31	in	in	ADP
bracis-19035	152	32	the	the	DET
bracis-19035	152	33	hypercube	hypercube	NOUN
bracis-19035	152	34	.	.	PUNCT
bracis-19035	153	1	figure	figure	NOUN
bracis-19035	153	2	 	 	SPACE
bracis-19035	153	3	5	5	NUM
bracis-19035	153	4	shows	show	VERB
bracis-19035	153	5	that	that	SCONJ
bracis-19035	153	6	,	,	PUNCT
bracis-19035	153	7	as	as	ADP
bracis-19035	153	8	the	the	DET
bracis-19035	153	9	values	value	NOUN
bracis-19035	153	10	of	of	ADP
bracis-19035	153	11	l	l	NOUN
bracis-19035	153	12	approach	approach	NOUN
bracis-19035	153	13	the	the	DET
bracis-19035	153	14	optimal	optimal	ADJ
bracis-19035	153	15	value	value	NOUN
bracis-19035	153	16	,	,	PUNCT
bracis-19035	153	17	the	the	DET
bracis-19035	153	18	probability	probability	NOUN
bracis-19035	153	19	of	of	ADP
bracis-19035	153	20	success	success	NOUN
bracis-19035	153	21	of	of	ADP
bracis-19035	153	22	the	the	DET
bracis-19035	153	23	curve	curve	NOUN
bracis-19035	153	24	also	also	ADV
bracis-19035	153	25	approaches	approach	VERB
bracis-19035	153	26	its	its	PRON
bracis-19035	153	27	maximum	maximum	ADJ
bracis-19035	153	28	value	value	NOUN
bracis-19035	153	29	.	.	PUNCT
bracis-19035	154	1	we	we	PRON
bracis-19035	154	2	can	can	AUX
bracis-19035	154	3	observe	observe	VERB
bracis-19035	154	4	this	this	DET
bracis-19035	154	5	behavior	behavior	NOUN
bracis-19035	154	6	in	in	ADP
bracis-19035	154	7	table	table	NOUN
bracis-19035	154	8	 	 	SPACE
bracis-19035	154	9	2	2	NUM
bracis-19035	154	10	which	which	PRON
bracis-19035	154	11	shows	show	VERB
bracis-19035	154	12	the	the	DET
bracis-19035	154	13	probability	probability	NOUN
bracis-19035	154	14	of	of	ADP
bracis-19035	154	15	success	success	NOUN
bracis-19035	154	16	for	for	ADP
bracis-19035	154	17	multiple	multiple	ADJ
bracis-19035	154	18	values	value	NOUN
bracis-19035	154	19	of	of	ADP
bracis-19035	154	20	l	l	NOUN
bracis-19035	154	21	and	and	CCONJ
bracis-19035	154	22	multiple	multiple	ADJ
bracis-19035	154	23	marked	mark	VERB
bracis-19035	154	24	vertices	vertex	NOUN
bracis-19035	154	25	.	.	PUNCT
bracis-19035	155	1	consider	consider	VERB
bracis-19035	155	2	the	the	DET
bracis-19035	155	3	values	value	NOUN
bracis-19035	155	4	of	of	ADP
bracis-19035	155	5	the	the	DET
bracis-19035	155	6	main	main	ADJ
bracis-19035	155	7	diagonal	diagonal	NOUN
bracis-19035	155	8	,	,	PUNCT
bracis-19035	155	9	which	which	PRON
bracis-19035	155	10	are	be	AUX
bracis-19035	155	11	the	the	DET
bracis-19035	155	12	maximum	maximum	ADJ
bracis-19035	155	13	success	success	NOUN
bracis-19035	155	14	probabilities	probability	NOUN
bracis-19035	155	15	for	for	ADP
bracis-19035	155	16	each	each	DET
bracis-19035	155	17	\(l	\(l	NOUN
bracis-19035	155	18	=	=	SYM
bracis-19035	155	19	(	(	PUNCT
bracis-19035	155	20	n	n	CCONJ
bracis-19035	155	21	/	/	SYM
bracis-19035	155	22	n)\cdot	n)\cdot	ADV
bracis-19035	155	23	k\	k\	NOUN
bracis-19035	155	24	)	)	PUNCT
bracis-19035	155	25	.	.	PUNCT
bracis-19035	156	1	fig	fig	NOUN
bracis-19035	156	2	.	.	PUNCT
bracis-19035	157	1	5	5	NUM
bracis-19035	157	2	.	.	X
bracis-19035	157	3	investigation	investigation	NOUN
bracis-19035	157	4	to	to	PART
bracis-19035	157	5	set	set	VERB
bracis-19035	157	6	the	the	DET
bracis-19035	157	7	value	value	NOUN
bracis-19035	157	8	of	of	ADP
bracis-19035	157	9	l	l	NOUN
bracis-19035	157	10	for	for	ADP
bracis-19035	157	11	multiple	multiple	ADJ
bracis-19035	157	12	marked	mark	VERB
bracis-19035	157	13	vertices	vertex	NOUN
bracis-19035	157	14	.	.	PUNCT
bracis-19035	158	1	full	full	ADJ
bracis-19035	158	2	size	size	NOUN
bracis-19035	158	3	image	image	NOUN
bracis-19035	158	4	table	table	NOUN
bracis-19035	158	5	2	2	NUM
bracis-19035	158	6	.	.	X
bracis-19035	158	7	probability	probability	NOUN
bracis-19035	158	8	of	of	ADP
bracis-19035	158	9	success	success	NOUN
bracis-19035	158	10	for	for	ADP
bracis-19035	158	11	multiple	multiple	ADJ
bracis-19035	158	12	values	value	NOUN
bracis-19035	158	13	of	of	ADP
bracis-19035	158	14	l.full	l.full	ADJ
bracis-19035	158	15	size	size	NOUN
bracis-19035	158	16	table	table	NOUN
bracis-19035	158	17	table	table	NOUN
bracis-19035	158	18	 	 	SPACE
bracis-19035	158	19	2	2	NUM
bracis-19035	158	20	shows	show	VERB
bracis-19035	158	21	the	the	DET
bracis-19035	158	22	relationship	relationship	NOUN
bracis-19035	158	23	between	between	ADP
bracis-19035	158	24	the	the	DET
bracis-19035	158	25	self	self	NOUN
bracis-19035	158	26	-	-	PUNCT
bracis-19035	158	27	loop	loop	NOUN
bracis-19035	158	28	value	value	NOUN
bracis-19035	158	29	and	and	CCONJ
bracis-19035	158	30	the	the	DET
bracis-19035	158	31	number	number	NOUN
bracis-19035	158	32	of	of	ADP
bracis-19035	158	33	marked	mark	VERB
bracis-19035	158	34	vertices	vertex	NOUN
bracis-19035	158	35	.	.	PUNCT
bracis-19035	159	1	we	we	PRON
bracis-19035	159	2	observe	observe	VERB
bracis-19035	159	3	the	the	DET
bracis-19035	159	4	relationship	relationship	NOUN
bracis-19035	159	5	between	between	ADP
bracis-19035	159	6	the	the	DET
bracis-19035	159	7	self	self	NOUN
bracis-19035	159	8	-	-	PUNCT
bracis-19035	159	9	loop	loop	NOUN
bracis-19035	159	10	value	value	NOUN
bracis-19035	159	11	and	and	CCONJ
bracis-19035	159	12	the	the	DET
bracis-19035	159	13	number	number	NOUN
bracis-19035	159	14	of	of	ADP
bracis-19035	159	15	marked	mark	VERB
bracis-19035	159	16	vertices	vertex	NOUN
bracis-19035	159	17	.	.	PUNCT
bracis-19035	160	1	note	note	VERB
bracis-19035	160	2	that	that	SCONJ
bracis-19035	160	3	when	when	SCONJ
bracis-19035	160	4	the	the	DET
bracis-19035	160	5	values	value	NOUN
bracis-19035	160	6	of	of	ADP
bracis-19035	160	7	l	l	NOUN
bracis-19035	160	8	approach	approach	NOUN
bracis-19035	160	9	the	the	DET
bracis-19035	160	10	optimal	optimal	ADJ
bracis-19035	160	11	values	value	NOUN
bracis-19035	160	12	for	for	ADP
bracis-19035	160	13	each	each	DET
bracis-19035	160	14	number	number	NOUN
bracis-19035	160	15	of	of	ADP
bracis-19035	160	16	marked	mark	VERB
bracis-19035	160	17	vertices	vertex	NOUN
bracis-19035	160	18	,	,	PUNCT
bracis-19035	160	19	there	there	PRON
bracis-19035	160	20	is	be	VERB
bracis-19035	160	21	an	an	DET
bracis-19035	160	22	improvement	improvement	NOUN
bracis-19035	160	23	in	in	ADP
bracis-19035	160	24	the	the	DET
bracis-19035	160	25	probability	probability	NOUN
bracis-19035	160	26	amplitude	amplitude	NOUN
bracis-19035	160	27	.	.	PUNCT
bracis-19035	161	1	figure	figure	NOUN
bracis-19035	161	2	 	 	SPACE
bracis-19035	161	3	6	6	NUM
bracis-19035	161	4	shows	show	VERB
bracis-19035	161	5	the	the	DET
bracis-19035	161	6	probability	probability	NOUN
bracis-19035	161	7	of	of	ADP
bracis-19035	161	8	success	success	NOUN
bracis-19035	161	9	after	after	ADP
bracis-19035	161	10	two	two	NUM
bracis-19035	161	11	hundred	hundred	NUM
bracis-19035	161	12	steps	step	NOUN
bracis-19035	161	13	for	for	ADP
bracis-19035	161	14	multiple	multiple	ADJ
bracis-19035	161	15	marked	mark	VERB
bracis-19035	161	16	vertices	vertex	NOUN
bracis-19035	161	17	.	.	PUNCT
bracis-19035	162	1	we	we	PRON
bracis-19035	162	2	can	can	AUX
bracis-19035	162	3	conclude	conclude	VERB
bracis-19035	162	4	that	that	PRON
bracis-19035	162	5	for	for	ADP
bracis-19035	162	6	cases	case	NOUN
bracis-19035	162	7	where	where	SCONJ
bracis-19035	162	8	there	there	PRON
bracis-19035	162	9	is	be	VERB
bracis-19035	162	10	more	more	ADJ
bracis-19035	162	11	than	than	ADP
bracis-19035	162	12	one	one	NUM
bracis-19035	162	13	marked	mark	VERB
bracis-19035	162	14	vertex	vertex	NOUN
bracis-19035	162	15	,	,	PUNCT
bracis-19035	162	16	the	the	DET
bracis-19035	162	17	optimal	optimal	ADJ
bracis-19035	162	18	value	value	NOUN
bracis-19035	162	19	of	of	ADP
bracis-19035	162	20	\(l	\(l	NOUN
bracis-19035	162	21	=	=	SYM
bracis-19035	162	22	(	(	PUNCT
bracis-19035	162	23	n	n	CCONJ
bracis-19035	162	24	/	/	SYM
bracis-19035	162	25	n)\cdot	n)\cdot	ADV
bracis-19035	162	26	k\	k\	NOUN
bracis-19035	162	27	)	)	PUNCT
bracis-19035	162	28	.	.	PUNCT
bracis-19035	163	1	fig	fig	NOUN
bracis-19035	163	2	.	.	PUNCT
bracis-19035	164	1	6	6	NUM
bracis-19035	164	2	.	.	X
bracis-19035	164	3	probability	probability	NOUN
bracis-19035	164	4	of	of	ADP
bracis-19035	164	5	success	success	NOUN
bracis-19035	164	6	after	after	ADP
bracis-19035	164	7	200	200	NUM
bracis-19035	164	8	steps	step	NOUN
bracis-19035	164	9	.	.	PUNCT
bracis-19035	165	1	solid	solid	ADJ
bracis-19035	165	2	blue	blue	ADJ
bracis-19035	165	3	curve	curve	NOUN
bracis-19035	165	4	,	,	PUNCT
bracis-19035	165	5	\(k	\(k	NOUN
bracis-19035	165	6	=	=	SYM
bracis-19035	165	7	1\	1\	NUM
bracis-19035	165	8	)	)	PUNCT
bracis-19035	165	9	.	.	PUNCT
bracis-19035	166	1	dotted	dot	VERB
bracis-19035	166	2	orange	orange	PROPN
bracis-19035	166	3	curve	curve	NOUN
bracis-19035	166	4	,	,	PUNCT
bracis-19035	166	5	\(k	\(k	NOUN
bracis-19035	166	6	=	=	SYM
bracis-19035	166	7	2\	2\	NUM
bracis-19035	166	8	)	)	PUNCT
bracis-19035	166	9	.	.	PUNCT
bracis-19035	167	1	green	green	ADJ
bracis-19035	167	2	dash	dash	NOUN
bracis-19035	167	3	-	-	PUNCT
bracis-19035	167	4	dot	dot	NOUN
bracis-19035	167	5	curve	curve	NOUN
bracis-19035	167	6	,	,	PUNCT
bracis-19035	167	7	\(k	\(k	NOUN
bracis-19035	167	8	=	=	SYM
bracis-19035	167	9	3\	3\	NUM
bracis-19035	167	10	)	)	PUNCT
bracis-19035	167	11	.	.	PUNCT
bracis-19035	168	1	red	red	PROPN
bracis-19035	168	2	dashed	dash	VERB
bracis-19035	168	3	curve	curve	NOUN
bracis-19035	168	4	,	,	PUNCT
bracis-19035	168	5	\(k	\(k	NOUN
bracis-19035	168	6	=	=	SYM
bracis-19035	168	7	4\	4\	PROPN
bracis-19035	168	8	)	)	PUNCT
bracis-19035	168	9	.	.	PUNCT
bracis-19035	169	1	dotted	dot	VERB
bracis-19035	169	2	purple	purple	ADJ
bracis-19035	169	3	curve	curve	NOUN
bracis-19035	169	4	,	,	PUNCT
bracis-19035	169	5	\(k	\(k	NOUN
bracis-19035	169	6	=	=	SYM
bracis-19035	169	7	5\	5\	PROPN
bracis-19035	169	8	)	)	PUNCT
bracis-19035	169	9	(	(	PUNCT
bracis-19035	169	10	color	color	NOUN
bracis-19035	169	11	figure	figure	NOUN
bracis-19035	169	12	online	online	ADV
bracis-19035	169	13	)	)	PUNCT
bracis-19035	169	14	full	full	ADJ
bracis-19035	169	15	size	size	NOUN
bracis-19035	169	16	image	image	NOUN
bracis-19035	169	17	3.3	3.3	NUM
bracis-19035	169	18	searching	search	VERB
bracis-19035	169	19	for	for	ADP
bracis-19035	169	20	adjacent	adjacent	ADJ
bracis-19035	169	21	marked	mark	VERB
bracis-19035	169	22	vertices	vertex	NOUN
bracis-19035	169	23	the	the	DET
bracis-19035	169	24	results	result	NOUN
bracis-19035	169	25	found	find	VERB
bracis-19035	169	26	in	in	ADP
bracis-19035	169	27	the	the	DET
bracis-19035	169	28	previous	previous	ADJ
bracis-19035	169	29	sections	section	NOUN
bracis-19035	169	30	refer	refer	VERB
bracis-19035	169	31	to	to	ADP
bracis-19035	169	32	the	the	DET
bracis-19035	169	33	search	search	NOUN
bracis-19035	169	34	for	for	ADP
bracis-19035	169	35	non	non	ADJ
bracis-19035	169	36	-	-	ADJ
bracis-19035	169	37	adjacent	adjacent	ADJ
bracis-19035	169	38	marked	mark	VERB
bracis-19035	169	39	vertices	vertex	NOUN
bracis-19035	169	40	,	,	PUNCT
bracis-19035	169	41	i.e.	i.e.	X
bracis-19035	169	42	,	,	PUNCT
bracis-19035	169	43	\(\left|	\(\left|	NOUN
bracis-19035	169	44	\vec	\vec	PROPN
bracis-19035	169	45	{	{	PUNCT
bracis-19035	169	46	\omega	\omega	PROPN
bracis-19035	169	47	_	_	PUNCT
bracis-19035	169	48	{	{	PUNCT
bracis-19035	169	49	i	i	NOUN
bracis-19035	169	50	}	}	PUNCT
bracis-19035	169	51	}	}	PUNCT
bracis-19035	169	52	\vec	\vec	PROPN
bracis-19035	169	53	{	{	PUNCT
bracis-19035	169	54	\omega	\omega	PROPN
bracis-19035	169	55	_	_	PUNCT
bracis-19035	169	56	{	{	PUNCT
bracis-19035	169	57	j}}\right|	j}}\right|	PROPN
bracis-19035	169	58	\ne	\ne	PROPN
bracis-19035	169	59	1\	1\	NUM
bracis-19035	169	60	)	)	PUNCT
bracis-19035	169	61	the	the	DET
bracis-19035	169	62	hamming	hamming	NOUN
bracis-19035	169	63	distance	distance	NOUN
bracis-19035	169	64	from	from	ADP
bracis-19035	169	65	vertex	vertex	NOUN
bracis-19035	169	66	\(\vec	\(\vec	NOUN
bracis-19035	170	1	{	{	PUNCT
bracis-19035	170	2	\omega	\omega	X
bracis-19035	170	3	_	_	PUNCT
bracis-19035	170	4	{	{	PUNCT
bracis-19035	170	5	i}}\	i}}\	NOUN
bracis-19035	170	6	)	)	PUNCT
bracis-19035	170	7	and	and	CCONJ
bracis-19035	170	8	all	all	DET
bracis-19035	170	9	other	other	ADJ
bracis-19035	170	10	marked	mark	VERB
bracis-19035	170	11	vertices	vertex	NOUN
bracis-19035	170	12	is	be	AUX
bracis-19035	170	13	different	different	ADJ
bracis-19035	170	14	from	from	ADP
bracis-19035	170	15	1	1	NUM
bracis-19035	170	16	.	.	PUNCT
bracis-19035	171	1	nahimovs	nahimovs	PROPN
bracis-19035	171	2	et	et	PROPN
bracis-19035	171	3	al	al	PROPN
bracis-19035	171	4	.	.	PUNCT
bracis-19035	171	5	 	 	SPACE
bracis-19035	172	1	[	[	X
bracis-19035	172	2	11	11	NUM
bracis-19035	172	3	]	]	PUNCT
bracis-19035	172	4	shows	show	NOUN
bracis-19035	172	5	in	in	ADP
bracis-19035	172	6	their	their	PRON
bracis-19035	172	7	work	work	NOUN
bracis-19035	172	8	that	that	PRON
bracis-19035	172	9	for	for	ADP
bracis-19035	172	10	quantum	quantum	NOUN
bracis-19035	172	11	walks	walk	NOUN
bracis-19035	172	12	in	in	ADP
bracis-19035	172	13	the	the	DET
bracis-19035	172	14	hypercube	hypercube	NOUN
bracis-19035	172	15	if	if	SCONJ
bracis-19035	172	16	the	the	DET
bracis-19035	172	17	search	search	NOUN
bracis-19035	172	18	space	space	NOUN
bracis-19035	172	19	contains	contain	VERB
bracis-19035	172	20	marked	mark	VERB
bracis-19035	172	21	neighbors	neighbor	NOUN
bracis-19035	172	22	vertices	vertice	VERB
bracis-19035	172	23	,	,	PUNCT
bracis-19035	172	24	the	the	DET
bracis-19035	172	25	search	search	NOUN
bracis-19035	172	26	can	can	AUX
bracis-19035	172	27	be	be	AUX
bracis-19035	172	28	drastically	drastically	ADV
bracis-19035	172	29	affected	affect	VERB
bracis-19035	172	30	.	.	PUNCT
bracis-19035	173	1	the	the	DET
bracis-19035	173	2	authors	author	NOUN
bracis-19035	173	3	considered	consider	VERB
bracis-19035	173	4	two	two	NUM
bracis-19035	173	5	sets	set	NOUN
bracis-19035	173	6	,	,	PUNCT
bracis-19035	173	7	one	one	NUM
bracis-19035	173	8	with	with	ADP
bracis-19035	173	9	two	two	NUM
bracis-19035	173	10	adjacent	adjacent	ADJ
bracis-19035	173	11	marked	mark	VERB
bracis-19035	173	12	vertices	vertex	NOUN
bracis-19035	173	13	and	and	CCONJ
bracis-19035	173	14	the	the	DET
bracis-19035	173	15	other	other	ADJ
bracis-19035	173	16	with	with	ADP
bracis-19035	173	17	two	two	NUM
bracis-19035	173	18	non	non	ADJ
bracis-19035	173	19	-	-	ADJ
bracis-19035	173	20	adjacent	adjacent	ADJ
bracis-19035	173	21	marked	mark	VERB
bracis-19035	173	22	vertices	vertex	NOUN
bracis-19035	173	23	.	.	PUNCT
bracis-19035	174	1	in	in	ADP
bracis-19035	174	2	the	the	DET
bracis-19035	174	3	first	first	ADJ
bracis-19035	174	4	case	case	NOUN
bracis-19035	174	5	,	,	PUNCT
bracis-19035	174	6	the	the	DET
bracis-19035	174	7	two	two	NUM
bracis-19035	174	8	adjacent	adjacent	ADJ
bracis-19035	174	9	marked	mark	VERB
bracis-19035	174	10	vertices	vertex	NOUN
bracis-19035	174	11	are	be	AUX
bracis-19035	174	12	\(m	\(m	NOUN
bracis-19035	174	13	=	=	PUNCT
bracis-19035	174	14	\{0	\{0	NOUN
bracis-19035	174	15	,	,	PUNCT
bracis-19035	174	16	1\}\	1\}\	NUM
bracis-19035	174	17	)	)	PUNCT
bracis-19035	174	18	.	.	PUNCT
bracis-19035	175	1	the	the	DET
bracis-19035	175	2	absolute	absolute	ADJ
bracis-19035	175	3	value	value	NOUN
bracis-19035	175	4	of	of	ADP
bracis-19035	175	5	the	the	DET
bracis-19035	175	6	overlap	overlap	NOUN
bracis-19035	175	7	remained	remain	VERB
bracis-19035	175	8	close	close	ADV
bracis-19035	175	9	to	to	ADP
bracis-19035	175	10	1	1	NUM
bracis-19035	175	11	,	,	PUNCT
bracis-19035	175	12	and	and	CCONJ
bracis-19035	175	13	the	the	DET
bracis-19035	175	14	probability	probability	NOUN
bracis-19035	175	15	remains	remain	VERB
bracis-19035	175	16	close	close	ADJ
bracis-19035	175	17	to	to	ADP
bracis-19035	175	18	the	the	DET
bracis-19035	175	19	initial	initial	ADJ
bracis-19035	175	20	state	state	NOUN
bracis-19035	175	21	probability	probability	NOUN
bracis-19035	175	22	.	.	PUNCT
bracis-19035	176	1	in	in	ADP
bracis-19035	176	2	the	the	DET
bracis-19035	176	3	second	second	ADJ
bracis-19035	176	4	case	case	NOUN
bracis-19035	176	5	,	,	PUNCT
bracis-19035	176	6	the	the	DET
bracis-19035	176	7	two	two	NUM
bracis-19035	176	8	non	non	ADJ
bracis-19035	176	9	-	-	ADJ
bracis-19035	176	10	adjacent	adjacent	ADJ
bracis-19035	176	11	marked	mark	VERB
bracis-19035	176	12	vertices	vertex	NOUN
bracis-19035	176	13	are	be	AUX
bracis-19035	176	14	\(m	\(m	NOUN
bracis-19035	176	15	=	=	PUNCT
bracis-19035	176	16	\{0	\{0	NOUN
bracis-19035	176	17	,	,	PUNCT
bracis-19035	176	18	3\}\	3\}\	NUM
bracis-19035	176	19	)	)	PUNCT
bracis-19035	176	20	.	.	PUNCT
bracis-19035	177	1	the	the	DET
bracis-19035	177	2	behavior	behavior	NOUN
bracis-19035	177	3	on	on	ADP
bracis-19035	177	4	this	this	DET
bracis-19035	177	5	one	one	NOUN
bracis-19035	177	6	is	be	AUX
bracis-19035	177	7	different	different	ADJ
bracis-19035	177	8	,	,	PUNCT
bracis-19035	177	9	the	the	DET
bracis-19035	177	10	same	same	ADJ
bracis-19035	177	11	behavior	behavior	NOUN
bracis-19035	177	12	as	as	ADP
bracis-19035	177	13	the	the	DET
bracis-19035	177	14	solid	solid	ADJ
bracis-19035	177	15	blue	blue	ADJ
bracis-19035	177	16	curve	curve	NOUN
bracis-19035	177	17	in	in	ADP
bracis-19035	177	18	fig	fig	NOUN
bracis-19035	177	19	.	.	PUNCT
bracis-19035	177	20	 	 	SPACE
bracis-19035	177	21	3a	3a	NUM
bracis-19035	177	22	.	.	PUNCT
bracis-19035	178	1	as	as	SCONJ
bracis-19035	178	2	the	the	DET
bracis-19035	178	3	addition	addition	NOUN
bracis-19035	178	4	of	of	ADP
bracis-19035	178	5	self	self	NOUN
bracis-19035	178	6	-	-	PUNCT
bracis-19035	178	7	loop	loop	NOUN
bracis-19035	178	8	in	in	ADP
bracis-19035	178	9	the	the	DET
bracis-19035	178	10	quantum	quantum	ADJ
bracis-19035	178	11	walk	walk	NOUN
bracis-19035	178	12	in	in	ADP
bracis-19035	178	13	the	the	DET
bracis-19035	178	14	hypercube	hypercube	NOUN
bracis-19035	178	15	improved	improve	VERB
bracis-19035	178	16	the	the	DET
bracis-19035	178	17	search	search	NOUN
bracis-19035	178	18	for	for	ADP
bracis-19035	178	19	multiple	multiple	ADJ
bracis-19035	178	20	non	non	ADJ
bracis-19035	178	21	-	-	ADJ
bracis-19035	178	22	adjacent	adjacent	ADJ
bracis-19035	178	23	marked	mark	VERB
bracis-19035	178	24	vertices	vertex	NOUN
bracis-19035	178	25	,	,	PUNCT
bracis-19035	178	26	we	we	PRON
bracis-19035	178	27	investigated	investigate	VERB
bracis-19035	178	28	the	the	DET
bracis-19035	178	29	case	case	NOUN
bracis-19035	178	30	where	where	SCONJ
bracis-19035	178	31	the	the	DET
bracis-19035	178	32	marked	mark	VERB
bracis-19035	178	33	vertices	vertex	NOUN
bracis-19035	178	34	are	be	AUX
bracis-19035	178	35	adjacent	adjacent	ADJ
bracis-19035	178	36	.	.	PUNCT
bracis-19035	179	1	we	we	PRON
bracis-19035	179	2	consider	consider	VERB
bracis-19035	179	3	ten	ten	NUM
bracis-19035	179	4	sets	set	NOUN
bracis-19035	179	5	of	of	ADP
bracis-19035	179	6	vertices	vertex	NOUN
bracis-19035	179	7	,	,	PUNCT
bracis-19035	179	8	\(m	\(m	NOUN
bracis-19035	179	9	=	=	PUNCT
bracis-19035	180	1	[	[	X
bracis-19035	180	2	\{0,1\},\{0,1,2\},\cdots	\{0,1\},\{0,1,2\},\cdot	NOUN
bracis-19035	180	3	,	,	PUNCT
bracis-19035	180	4	\{0,1,2,4,8,\cdots	\{0,1,2,4,8,\cdots	NUM
bracis-19035	180	5	,	,	PUNCT
bracis-19035	180	6	256,512\}]\	256,512\}]\	NUM
bracis-19035	180	7	)	)	PUNCT
bracis-19035	180	8	,	,	PUNCT
bracis-19035	180	9	i.e.	i.e.	X
bracis-19035	180	10	,	,	PUNCT
bracis-19035	180	11	all	all	PRON
bracis-19035	180	12	vertices	vertice	VERB
bracis-19035	180	13	adjacent	adjacent	ADJ
bracis-19035	180	14	to	to	ADP
bracis-19035	180	15	the	the	DET
bracis-19035	180	16	vertex	vertex	NOUN
bracis-19035	180	17	0	0	NUM
bracis-19035	180	18	.	.	PUNCT
bracis-19035	181	1	we	we	PRON
bracis-19035	181	2	add	add	VERB
bracis-19035	181	3	one	one	NUM
bracis-19035	181	4	more	more	ADJ
bracis-19035	181	5	vertex	vertex	NOUN
bracis-19035	181	6	to	to	ADP
bracis-19035	181	7	the	the	DET
bracis-19035	181	8	set	set	NOUN
bracis-19035	181	9	of	of	ADP
bracis-19035	181	10	marked	mark	VERB
bracis-19035	181	11	vertices	vertex	NOUN
bracis-19035	181	12	on	on	ADP
bracis-19035	181	13	each	each	DET
bracis-19035	181	14	new	new	ADJ
bracis-19035	181	15	walk	walk	NOUN
bracis-19035	181	16	until	until	SCONJ
bracis-19035	181	17	the	the	DET
bracis-19035	181	18	number	number	NOUN
bracis-19035	181	19	of	of	ADP
bracis-19035	181	20	vertices	vertex	NOUN
bracis-19035	181	21	in	in	ADP
bracis-19035	181	22	m	m	PROPN
bracis-19035	181	23	is	be	AUX
bracis-19035	181	24	equal	equal	ADJ
bracis-19035	181	25	to	to	ADP
bracis-19035	181	26	the	the	DET
bracis-19035	181	27	degree	degree	NOUN
bracis-19035	181	28	n	n	PROPN
bracis-19035	181	29	of	of	ADP
bracis-19035	181	30	the	the	DET
bracis-19035	181	31	vertex	vertex	NOUN
bracis-19035	181	32	.	.	PUNCT
bracis-19035	182	1	figure	figure	NOUN
bracis-19035	182	2	 	 	SPACE
bracis-19035	182	3	7	7	NUM
bracis-19035	182	4	shows	show	VERB
bracis-19035	182	5	the	the	DET
bracis-19035	182	6	probability	probability	NOUN
bracis-19035	182	7	of	of	ADP
bracis-19035	182	8	success	success	NOUN
bracis-19035	182	9	after	after	ADP
bracis-19035	182	10	two	two	NUM
bracis-19035	182	11	hundred	hundred	NUM
bracis-19035	182	12	steps	step	NOUN
bracis-19035	182	13	.	.	PUNCT
bracis-19035	183	1	figure	figure	NOUN
bracis-19035	183	2	 	 	SPACE
bracis-19035	183	3	7a	7a	NOUN
bracis-19035	183	4	shows	show	VERB
bracis-19035	183	5	the	the	DET
bracis-19035	183	6	result	result	NOUN
bracis-19035	183	7	for	for	ADP
bracis-19035	183	8	the	the	DET
bracis-19035	183	9	value	value	NOUN
bracis-19035	183	10	of	of	ADP
bracis-19035	183	11	\(l	\(l	NOUN
bracis-19035	183	12	=	=	SYM
bracis-19035	183	13	(	(	PUNCT
bracis-19035	183	14	n	n	CCONJ
bracis-19035	183	15	/	/	SYM
bracis-19035	183	16	n)\	n)\	NUM
bracis-19035	183	17	)	)	PUNCT
bracis-19035	183	18	.	.	PUNCT
bracis-19035	184	1	the	the	DET
bracis-19035	184	2	probability	probability	NOUN
bracis-19035	184	3	reaches	reach	VERB
bracis-19035	184	4	its	its	PRON
bracis-19035	184	5	maximum	maximum	NOUN
bracis-19035	184	6	when	when	SCONJ
bracis-19035	184	7	the	the	DET
bracis-19035	184	8	number	number	NOUN
bracis-19035	184	9	of	of	ADP
bracis-19035	184	10	vertices	vertex	NOUN
bracis-19035	184	11	reaches	reach	VERB
bracis-19035	184	12	\(k	\(k	NOUN
bracis-19035	184	13	=	=	SYM
bracis-19035	184	14	4\	4\	PROPN
bracis-19035	184	15	)	)	PUNCT
bracis-19035	184	16	with	with	ADP
bracis-19035	184	17	a	a	DET
bracis-19035	184	18	probability	probability	NOUN
bracis-19035	184	19	of	of	ADP
bracis-19035	184	20	success	success	NOUN
bracis-19035	184	21	of	of	ADP
bracis-19035	184	22	\(99.1\%\	\(99.1\%\	PROPN
bracis-19035	184	23	)	)	PUNCT
bracis-19035	184	24	.	.	PUNCT
bracis-19035	185	1	then	then	ADV
bracis-19035	185	2	the	the	DET
bracis-19035	185	3	probability	probability	NOUN
bracis-19035	185	4	starts	start	VERB
bracis-19035	185	5	to	to	PART
bracis-19035	185	6	decrease	decrease	VERB
bracis-19035	185	7	as	as	ADP
bracis-19035	185	8	k	k	PROPN
bracis-19035	185	9	increases	increase	NOUN
bracis-19035	185	10	.	.	PUNCT
bracis-19035	186	1	figure	figure	NOUN
bracis-19035	186	2	 	 	SPACE
bracis-19035	186	3	7b	7b	PROPN
bracis-19035	186	4	shows	show	VERB
bracis-19035	186	5	the	the	DET
bracis-19035	186	6	result	result	NOUN
bracis-19035	186	7	for	for	ADP
bracis-19035	186	8	the	the	DET
bracis-19035	186	9	value	value	NOUN
bracis-19035	186	10	of	of	ADP
bracis-19035	186	11	\(l	\(l	NOUN
bracis-19035	186	12	=	=	SYM
bracis-19035	186	13	(	(	PUNCT
bracis-19035	186	14	n	n	CCONJ
bracis-19035	186	15	/	/	SYM
bracis-19035	186	16	n)\cdot	n)\cdot	ADV
bracis-19035	186	17	k\	k\	NOUN
bracis-19035	186	18	)	)	PUNCT
bracis-19035	186	19	.	.	PUNCT
bracis-19035	187	1	the	the	DET
bracis-19035	187	2	probability	probability	NOUN
bracis-19035	187	3	reaches	reach	VERB
bracis-19035	187	4	its	its	PRON
bracis-19035	187	5	maximum	maximum	NOUN
bracis-19035	187	6	when	when	SCONJ
bracis-19035	187	7	the	the	DET
bracis-19035	187	8	number	number	NOUN
bracis-19035	187	9	of	of	ADP
bracis-19035	187	10	vertices	vertex	NOUN
bracis-19035	187	11	reaches	reach	VERB
bracis-19035	187	12	\(k	\(k	NOUN
bracis-19035	187	13	=	=	SYM
bracis-19035	187	14	11\	11\	PROPN
bracis-19035	187	15	)	)	PUNCT
bracis-19035	187	16	with	with	ADP
bracis-19035	187	17	a	a	DET
bracis-19035	187	18	success	success	NOUN
bracis-19035	187	19	probability	probability	NOUN
bracis-19035	187	20	of	of	ADP
bracis-19035	187	21	\(94.5\%\	\(94.5\%\	NOUN
bracis-19035	187	22	)	)	PUNCT
bracis-19035	187	23	.	.	PUNCT
bracis-19035	188	1	although	although	SCONJ
bracis-19035	188	2	the	the	DET
bracis-19035	188	3	probability	probability	NOUN
bracis-19035	188	4	increases	increase	VERB
bracis-19035	188	5	with	with	ADP
bracis-19035	188	6	a	a	DET
bracis-19035	188	7	slower	slow	ADJ
bracis-19035	188	8	speed	speed	NOUN
bracis-19035	188	9	when	when	SCONJ
bracis-19035	188	10	\(k	\(k	NOUN
bracis-19035	188	11	=	=	SYM
bracis-19035	188	12	5\	5\	PROPN
bracis-19035	188	13	)	)	PUNCT
bracis-19035	188	14	,	,	PUNCT
bracis-19035	188	15	it	it	PRON
bracis-19035	188	16	already	already	ADV
bracis-19035	188	17	reaches	reach	VERB
bracis-19035	188	18	\(78.3\%\	\(78.3\%\	NOUN
bracis-19035	188	19	)	)	PUNCT
bracis-19035	188	20	.	.	PUNCT
bracis-19035	189	1	this	this	DET
bracis-19035	189	2	behavior	behavior	NOUN
bracis-19035	189	3	is	be	AUX
bracis-19035	189	4	interesting	interesting	ADJ
bracis-19035	189	5	for	for	ADP
bracis-19035	189	6	search	search	NOUN
bracis-19035	189	7	spaces	space	NOUN
bracis-19035	189	8	where	where	SCONJ
bracis-19035	189	9	the	the	DET
bracis-19035	189	10	marked	mark	VERB
bracis-19035	189	11	vertex	vertex	NOUN
bracis-19035	189	12	density	density	NOUN
bracis-19035	189	13	is	be	AUX
bracis-19035	189	14	high	high	ADJ
bracis-19035	189	15	.	.	PUNCT
bracis-19035	190	1	note	note	VERB
bracis-19035	190	2	the	the	DET
bracis-19035	190	3	probability	probability	NOUN
bracis-19035	190	4	of	of	ADP
bracis-19035	190	5	the	the	DET
bracis-19035	190	6	solid	solid	ADJ
bracis-19035	190	7	cyan	cyan	NOUN
bracis-19035	190	8	curve	curve	NOUN
bracis-19035	190	9	.	.	PUNCT
bracis-19035	191	1	this	this	DET
bracis-19035	191	2	behavior	behavior	NOUN
bracis-19035	191	3	was	be	AUX
bracis-19035	191	4	found	find	VERB
bracis-19035	191	5	in	in	ADP
bracis-19035	191	6	work	work	NOUN
bracis-19035	191	7	done	do	VERB
bracis-19035	191	8	by	by	ADP
bracis-19035	191	9	nahimovs	nahimovs	PROPN
bracis-19035	191	10	et	et	PROPN
bracis-19035	191	11	al	al	PROPN
bracis-19035	191	12	.	.	PUNCT
bracis-19035	191	13	 	 	SPACE
bracis-19035	192	1	[	[	X
bracis-19035	192	2	11	11	NUM
bracis-19035	192	3	]	]	PUNCT
bracis-19035	192	4	and	and	CCONJ
bracis-19035	192	5	was	be	AUX
bracis-19035	192	6	repeated	repeat	VERB
bracis-19035	192	7	here	here	ADV
bracis-19035	192	8	in	in	ADP
bracis-19035	192	9	our	our	PRON
bracis-19035	192	10	experiments	experiment	NOUN
bracis-19035	192	11	.	.	PUNCT
bracis-19035	193	1	according	accord	VERB
bracis-19035	193	2	to	to	ADP
bracis-19035	193	3	the	the	DET
bracis-19035	193	4	authors	author	NOUN
bracis-19035	193	5	,	,	PUNCT
bracis-19035	193	6	this	this	PRON
bracis-19035	193	7	is	be	AUX
bracis-19035	193	8	because	because	SCONJ
bracis-19035	193	9	the	the	DET
bracis-19035	193	10	quantum	quantum	NOUN
bracis-19035	193	11	walk	walk	NOUN
bracis-19035	193	12	has	have	VERB
bracis-19035	193	13	a	a	DET
bracis-19035	193	14	stationary	stationary	ADJ
bracis-19035	193	15	state	state	NOUN
bracis-19035	193	16	.	.	PUNCT
bracis-19035	194	1	fig	fig	NOUN
bracis-19035	194	2	.	.	PUNCT
bracis-19035	195	1	7	7	X
bracis-19035	195	2	.	.	X
bracis-19035	195	3	probability	probability	NOUN
bracis-19035	195	4	of	of	ADP
bracis-19035	195	5	success	success	NOUN
bracis-19035	195	6	after	after	ADP
bracis-19035	195	7	200	200	NUM
bracis-19035	195	8	steps	step	NOUN
bracis-19035	195	9	with	with	ADP
bracis-19035	195	10	\(n	\(n	NOUN
bracis-19035	195	11	=	=	SYM
bracis-19035	195	12	10\	10\	NUM
bracis-19035	195	13	)	)	PUNCT
bracis-19035	195	14	and	and	CCONJ
bracis-19035	195	15	\(n	\(n	NOUN
bracis-19035	195	16	=	=	SYM
bracis-19035	195	17	1024\	1024\	NUM
bracis-19035	195	18	)	)	PUNCT
bracis-19035	195	19	vertices	vertex	NOUN
bracis-19035	195	20	.	.	PUNCT
bracis-19035	196	1	shows	show	VERB
bracis-19035	196	2	the	the	DET
bracis-19035	196	3	probability	probability	NOUN
bracis-19035	196	4	of	of	ADP
bracis-19035	196	5	success	success	NOUN
bracis-19035	196	6	for	for	ADP
bracis-19035	196	7	k	k	PROPN
bracis-19035	196	8	adjacent	adjacent	ADJ
bracis-19035	196	9	marked	mark	VERB
bracis-19035	196	10	vertices	vertex	NOUN
bracis-19035	196	11	.	.	PUNCT
bracis-19035	197	1	(	(	PUNCT
bracis-19035	197	2	a	a	X
bracis-19035	197	3	)	)	PUNCT
bracis-19035	197	4	shows	show	NOUN
bracis-19035	197	5	for	for	ADP
bracis-19035	197	6	\(l	\(l	NOUN
bracis-19035	197	7	=	=	SYM
bracis-19035	197	8	(	(	PUNCT
bracis-19035	197	9	n	n	CCONJ
bracis-19035	197	10	/	/	SYM
bracis-19035	197	11	n)\	n)\	ADJ
bracis-19035	197	12	)	)	PUNCT
bracis-19035	197	13	and	and	CCONJ
bracis-19035	197	14	(	(	PUNCT
bracis-19035	197	15	b	b	NOUN
bracis-19035	197	16	)	)	PUNCT
bracis-19035	197	17	for	for	ADP
bracis-19035	197	18	\(l	\(l	NOUN
bracis-19035	197	19	=	=	SYM
bracis-19035	197	20	(	(	PUNCT
bracis-19035	197	21	n	n	CCONJ
bracis-19035	197	22	/	/	SYM
bracis-19035	197	23	n)\cdot	n)\cdot	ADV
bracis-19035	197	24	k\	k\	NOUN
bracis-19035	197	25	)	)	PUNCT
bracis-19035	197	26	.	.	PUNCT
bracis-19035	198	1	full	full	ADJ
bracis-19035	198	2	size	size	NOUN
bracis-19035	198	3	image	image	NOUN
bracis-19035	198	4	figure	figure	NOUN
bracis-19035	198	5	 	 	SPACE
bracis-19035	198	6	8	8	NUM
bracis-19035	198	7	shows	show	VERB
bracis-19035	198	8	the	the	DET
bracis-19035	198	9	comparison	comparison	NOUN
bracis-19035	198	10	between	between	ADP
bracis-19035	198	11	what	what	PRON
bracis-19035	198	12	happens	happen	VERB
bracis-19035	198	13	to	to	ADP
bracis-19035	198	14	the	the	DET
bracis-19035	198	15	success	success	NOUN
bracis-19035	198	16	probabilities	probability	NOUN
bracis-19035	198	17	in	in	ADP
bracis-19035	198	18	fig	fig	NOUN
bracis-19035	198	19	.	.	PUNCT
bracis-19035	198	20	 	 	SPACE
bracis-19035	198	21	7	7	NUM
bracis-19035	198	22	when	when	SCONJ
bracis-19035	198	23	the	the	DET
bracis-19035	198	24	number	number	NOUN
bracis-19035	198	25	of	of	ADP
bracis-19035	198	26	k	k	PROPN
bracis-19035	198	27	increases	increase	NOUN
bracis-19035	198	28	.	.	PUNCT
bracis-19035	199	1	note	note	VERB
bracis-19035	199	2	the	the	DET
bracis-19035	199	3	dotted	dotted	ADJ
bracis-19035	199	4	orange	orange	PROPN
bracis-19035	199	5	curve	curve	NOUN
bracis-19035	199	6	,	,	PUNCT
bracis-19035	199	7	the	the	DET
bracis-19035	199	8	probability	probability	NOUN
bracis-19035	199	9	of	of	ADP
bracis-19035	199	10	success	success	NOUN
bracis-19035	199	11	grows	grow	VERB
bracis-19035	199	12	to	to	ADP
bracis-19035	199	13	its	its	PRON
bracis-19035	199	14	maximum	maximum	ADJ
bracis-19035	199	15	value	value	NOUN
bracis-19035	199	16	when	when	SCONJ
bracis-19035	199	17	the	the	DET
bracis-19035	199	18	value	value	NOUN
bracis-19035	199	19	of	of	ADP
bracis-19035	199	20	\(l	\(l	NOUN
bracis-19035	199	21	=	=	SYM
bracis-19035	199	22	(	(	PUNCT
bracis-19035	199	23	n	n	CCONJ
bracis-19035	199	24	/	/	SYM
bracis-19035	199	25	n)\cdot	n)\cdot	ADV
bracis-19035	199	26	k\	k\	NOUN
bracis-19035	199	27	)	)	PUNCT
bracis-19035	199	28	.	.	PUNCT
bracis-19035	200	1	the	the	DET
bracis-19035	200	2	same	same	ADJ
bracis-19035	200	3	does	do	AUX
bracis-19035	200	4	not	not	PART
bracis-19035	200	5	happen	happen	VERB
bracis-19035	200	6	when	when	SCONJ
bracis-19035	200	7	\(l	\(l	NOUN
bracis-19035	200	8	=	=	SYM
bracis-19035	200	9	(	(	PUNCT
bracis-19035	200	10	n	n	CCONJ
bracis-19035	200	11	/	/	SYM
bracis-19035	200	12	n)\	n)\	NOUN
bracis-19035	200	13	)	)	PUNCT
bracis-19035	200	14	.	.	PUNCT
bracis-19035	201	1	fig	fig	NOUN
bracis-19035	201	2	.	.	PUNCT
bracis-19035	202	1	8	8	NUM
bracis-19035	202	2	.	.	PUNCT
bracis-19035	203	1	maximum	maximum	ADJ
bracis-19035	203	2	probability	probability	NOUN
bracis-19035	203	3	reached	reach	VERB
bracis-19035	203	4	for	for	ADP
bracis-19035	203	5	each	each	DET
bracis-19035	203	6	number	number	NOUN
bracis-19035	203	7	of	of	ADP
bracis-19035	203	8	marked	mark	VERB
bracis-19035	203	9	vertices	vertex	NOUN
bracis-19035	203	10	in	in	ADP
bracis-19035	203	11	the	the	DET
bracis-19035	203	12	neighborhood	neighborhood	NOUN
bracis-19035	203	13	after	after	ADP
bracis-19035	203	14	one	one	NUM
bracis-19035	203	15	hundred	hundred	NUM
bracis-19035	203	16	steps	step	NOUN
bracis-19035	203	17	with	with	ADP
bracis-19035	203	18	\(n	\(n	NOUN
bracis-19035	203	19	=	=	SYM
bracis-19035	203	20	10\	10\	NUM
bracis-19035	203	21	)	)	PUNCT
bracis-19035	203	22	and	and	CCONJ
bracis-19035	203	23	\(n	\(n	NOUN
bracis-19035	203	24	=	=	SYM
bracis-19035	203	25	1024\	1024\	NUM
bracis-19035	203	26	)	)	PUNCT
bracis-19035	203	27	vertices	vertex	NOUN
bracis-19035	203	28	.	.	PUNCT
bracis-19035	204	1	evaluating	evaluate	VERB
bracis-19035	204	2	the	the	DET
bracis-19035	204	3	interference	interference	NOUN
bracis-19035	204	4	of	of	ADP
bracis-19035	204	5	the	the	DET
bracis-19035	204	6	number	number	NOUN
bracis-19035	204	7	of	of	ADP
bracis-19035	204	8	adjacent	adjacent	ADJ
bracis-19035	204	9	marked	mark	VERB
bracis-19035	204	10	vertices	vertex	NOUN
bracis-19035	204	11	in	in	ADP
bracis-19035	204	12	the	the	DET
bracis-19035	204	13	value	value	NOUN
bracis-19035	204	14	of	of	ADP
bracis-19035	204	15	l.	l.	PROPN
bracis-19035	204	16	(	(	PUNCT
bracis-19035	204	17	color	color	NOUN
bracis-19035	204	18	figure	figure	NOUN
bracis-19035	204	19	online	online	ADV
bracis-19035	204	20	)	)	PUNCT
bracis-19035	204	21	full	full	ADJ
bracis-19035	204	22	size	size	NOUN
bracis-19035	204	23	image	image	NOUN
bracis-19035	204	24	we	we	PRON
bracis-19035	204	25	considered	consider	VERB
bracis-19035	204	26	before	before	ADV
bracis-19035	204	27	that	that	SCONJ
bracis-19035	204	28	the	the	DET
bracis-19035	204	29	marked	mark	VERB
bracis-19035	204	30	vertices	vertex	NOUN
bracis-19035	204	31	were	be	AUX
bracis-19035	204	32	neighbors	neighbor	NOUN
bracis-19035	204	33	.	.	PUNCT
bracis-19035	205	1	now	now	ADV
bracis-19035	205	2	,	,	PUNCT
bracis-19035	205	3	let	let	VERB
bracis-19035	205	4	us	we	PRON
bracis-19035	205	5	analyze	analyze	VERB
bracis-19035	205	6	the	the	DET
bracis-19035	205	7	possibility	possibility	NOUN
bracis-19035	205	8	that	that	SCONJ
bracis-19035	205	9	in	in	ADP
bracis-19035	205	10	addition	addition	NOUN
bracis-19035	205	11	to	to	ADP
bracis-19035	205	12	having	have	VERB
bracis-19035	205	13	marked	mark	VERB
bracis-19035	205	14	vertices	vertex	NOUN
bracis-19035	205	15	in	in	ADP
bracis-19035	205	16	the	the	DET
bracis-19035	205	17	neighborhood	neighborhood	NOUN
bracis-19035	205	18	,	,	PUNCT
bracis-19035	205	19	there	there	PRON
bracis-19035	205	20	are	be	VERB
bracis-19035	205	21	also	also	ADV
bracis-19035	205	22	marked	mark	VERB
bracis-19035	205	23	vertices	vertex	NOUN
bracis-19035	205	24	that	that	PRON
bracis-19035	205	25	are	be	AUX
bracis-19035	205	26	not	not	PART
bracis-19035	205	27	neighbors	neighbor	NOUN
bracis-19035	205	28	.	.	PUNCT
bracis-19035	206	1	we	we	PRON
bracis-19035	206	2	run	run	VERB
bracis-19035	206	3	ten	ten	NUM
bracis-19035	206	4	experiments	experiment	NOUN
bracis-19035	206	5	,	,	PUNCT
bracis-19035	206	6	and	and	CCONJ
bracis-19035	206	7	each	each	DET
bracis-19035	206	8	one	one	NOUN
bracis-19035	206	9	starts	start	VERB
bracis-19035	206	10	with	with	ADP
bracis-19035	206	11	two	two	NUM
bracis-19035	206	12	adjacent	adjacent	ADJ
bracis-19035	206	13	marked	mark	VERB
bracis-19035	206	14	vertices	vertex	NOUN
bracis-19035	206	15	\(m	\(m	NOUN
bracis-19035	206	16	=	=	SYM
bracis-19035	206	17	\{0,1\}\	\{0,1\}\	NOUN
bracis-19035	206	18	)	)	PUNCT
bracis-19035	206	19	.	.	PUNCT
bracis-19035	207	1	in	in	ADP
bracis-19035	207	2	each	each	DET
bracis-19035	207	3	experiment	experiment	NOUN
bracis-19035	207	4	,	,	PUNCT
bracis-19035	207	5	a	a	DET
bracis-19035	207	6	\(i	\(i	NOUN
bracis-19035	207	7	=	=	SYM
bracis-19035	207	8	\{1,2,3,\cdots	\{1,2,3,\cdot	NOUN
bracis-19035	207	9	\}\	\}\	NOUN
bracis-19035	207	10	)	)	PUNCT
bracis-19035	207	11	non	non	ADJ
bracis-19035	207	12	-	-	ADJ
bracis-19035	207	13	adjacent	adjacent	ADJ
bracis-19035	207	14	vertex	vertex	NOUN
bracis-19035	207	15	is	be	AUX
bracis-19035	207	16	randomly	randomly	ADV
bracis-19035	207	17	marked	mark	VERB
bracis-19035	207	18	and	and	CCONJ
bracis-19035	207	19	the	the	DET
bracis-19035	207	20	next	next	ADJ
bracis-19035	207	21	marked	mark	VERB
bracis-19035	207	22	neighbor	neighbor	NOUN
bracis-19035	207	23	,	,	PUNCT
bracis-19035	207	24	i.e.	i.e.	X
bracis-19035	207	25	,	,	PUNCT
bracis-19035	207	26	\(m	\(m	NOUN
bracis-19035	207	27	=	=	SYM
bracis-19035	207	28	\{0,1,2,	\{0,1,2,	PROPN
bracis-19035	207	29	...	...	PUNCT
bracis-19035	207	30	\}\	\}\	NUM
bracis-19035	207	31	)	)	PUNCT
bracis-19035	207	32	.	.	PUNCT
bracis-19035	208	1	therefore	therefore	ADV
bracis-19035	208	2	,	,	PUNCT
bracis-19035	208	3	in	in	ADP
bracis-19035	208	4	the	the	DET
bracis-19035	208	5	tenth	tenth	ADJ
bracis-19035	208	6	experiment	experiment	NOUN
bracis-19035	208	7	,	,	PUNCT
bracis-19035	208	8	there	there	PRON
bracis-19035	208	9	will	will	AUX
bracis-19035	208	10	be	be	AUX
bracis-19035	208	11	eleven	eleven	NUM
bracis-19035	208	12	adjacent	adjacent	ADJ
bracis-19035	208	13	and	and	CCONJ
bracis-19035	208	14	ten	ten	NUM
bracis-19035	208	15	non	non	ADJ
bracis-19035	208	16	-	-	ADJ
bracis-19035	208	17	adjacent	adjacent	ADJ
bracis-19035	208	18	vertices	vertex	NOUN
bracis-19035	208	19	.	.	PUNCT
bracis-19035	209	1	fig	fig	NOUN
bracis-19035	209	2	.	.	PUNCT
bracis-19035	210	1	9	9	X
bracis-19035	210	2	.	.	X
bracis-19035	210	3	maximum	maximum	ADJ
bracis-19035	210	4	probability	probability	NOUN
bracis-19035	210	5	reached	reach	VERB
bracis-19035	210	6	for	for	ADP
bracis-19035	210	7	each	each	DET
bracis-19035	210	8	number	number	NOUN
bracis-19035	210	9	of	of	ADP
bracis-19035	210	10	marked	mark	VERB
bracis-19035	210	11	vertices	vertex	NOUN
bracis-19035	210	12	after	after	ADP
bracis-19035	210	13	one	one	NUM
bracis-19035	210	14	hundred	hundred	NUM
bracis-19035	210	15	steps	step	NOUN
bracis-19035	210	16	with	with	ADP
bracis-19035	210	17	\(n	\(n	NOUN
bracis-19035	210	18	=	=	SYM
bracis-19035	210	19	10\	10\	NUM
bracis-19035	210	20	)	)	PUNCT
bracis-19035	210	21	and	and	CCONJ
bracis-19035	210	22	\(n	\(n	NOUN
bracis-19035	210	23	=	=	SYM
bracis-19035	210	24	1024\	1024\	NUM
bracis-19035	210	25	)	)	PUNCT
bracis-19035	210	26	vertices	vertex	NOUN
bracis-19035	210	27	.	.	PUNCT
bracis-19035	211	1	(	(	PUNCT
bracis-19035	211	2	a	a	X
bracis-19035	211	3	)	)	PUNCT
bracis-19035	211	4	shows	show	VERB
bracis-19035	211	5	the	the	DET
bracis-19035	211	6	probability	probability	NOUN
bracis-19035	211	7	of	of	ADP
bracis-19035	211	8	success	success	NOUN
bracis-19035	211	9	for	for	ADP
bracis-19035	211	10	k	k	PROPN
bracis-19035	211	11	adjacent	adjacent	ADJ
bracis-19035	211	12	and	and	CCONJ
bracis-19035	211	13	non	non	ADJ
bracis-19035	211	14	-	-	ADJ
bracis-19035	211	15	adjacent	adjacent	ADJ
bracis-19035	211	16	marked	mark	VERB
bracis-19035	211	17	vertices	vertex	NOUN
bracis-19035	211	18	for	for	ADP
bracis-19035	211	19	\(l	\(l	NOUN
bracis-19035	211	20	=	=	SYM
bracis-19035	211	21	(	(	PUNCT
bracis-19035	211	22	n	n	CCONJ
bracis-19035	211	23	/	/	SYM
bracis-19035	211	24	n)\	n)\	NOUN
bracis-19035	211	25	)	)	PUNCT
bracis-19035	211	26	.	.	PUNCT
bracis-19035	212	1	(	(	PUNCT
bracis-19035	212	2	b	b	X
bracis-19035	212	3	)	)	PUNCT
bracis-19035	212	4	shows	show	VERB
bracis-19035	212	5	the	the	DET
bracis-19035	212	6	probability	probability	NOUN
bracis-19035	212	7	of	of	ADP
bracis-19035	212	8	success	success	NOUN
bracis-19035	212	9	for	for	ADP
bracis-19035	212	10	k	k	PROPN
bracis-19035	212	11	adjacent	adjacent	ADJ
bracis-19035	212	12	and	and	CCONJ
bracis-19035	212	13	non	non	ADJ
bracis-19035	212	14	-	-	ADJ
bracis-19035	212	15	adjacent	adjacent	ADJ
bracis-19035	212	16	marked	mark	VERB
bracis-19035	212	17	vertices	vertex	NOUN
bracis-19035	212	18	for	for	ADP
bracis-19035	212	19	\(l	\(l	NOUN
bracis-19035	212	20	=	=	SYM
bracis-19035	212	21	(	(	PUNCT
bracis-19035	212	22	n	n	CCONJ
bracis-19035	212	23	/	/	SYM
bracis-19035	212	24	n)\cdot	n)\cdot	ADV
bracis-19035	212	25	k\	k\	NOUN
bracis-19035	212	26	)	)	PUNCT
bracis-19035	212	27	.	.	PUNCT
bracis-19035	213	1	(	(	PUNCT
bracis-19035	213	2	color	color	NOUN
bracis-19035	213	3	figure	figure	NOUN
bracis-19035	213	4	online	online	ADV
bracis-19035	213	5	)	)	PUNCT
bracis-19035	213	6	full	full	ADJ
bracis-19035	213	7	size	size	NOUN
bracis-19035	213	8	image	image	NOUN
bracis-19035	213	9	figure	figure	NOUN
bracis-19035	213	10	 	 	SPACE
bracis-19035	213	11	9	9	NUM
bracis-19035	213	12	shows	show	VERB
bracis-19035	213	13	the	the	DET
bracis-19035	213	14	behavior	behavior	NOUN
bracis-19035	213	15	of	of	ADP
bracis-19035	213	16	probability	probability	NOUN
bracis-19035	213	17	amplitudes	amplitude	NOUN
bracis-19035	213	18	when	when	SCONJ
bracis-19035	213	19	for	for	ADP
bracis-19035	213	20	each	each	DET
bracis-19035	213	21	set	set	NOUN
bracis-19035	213	22	of	of	ADP
bracis-19035	213	23	adjacent	adjacent	ADJ
bracis-19035	213	24	vertices	vertex	NOUN
bracis-19035	213	25	,	,	PUNCT
bracis-19035	213	26	a	a	DET
bracis-19035	213	27	number	number	NOUN
bracis-19035	213	28	of	of	ADP
bracis-19035	213	29	non	non	ADJ
bracis-19035	213	30	-	-	ADJ
bracis-19035	213	31	adjacent	adjacent	ADJ
bracis-19035	213	32	vertices	vertex	NOUN
bracis-19035	213	33	are	be	AUX
bracis-19035	213	34	marked	mark	VERB
bracis-19035	213	35	.	.	PUNCT
bracis-19035	214	1	figure	figure	NOUN
bracis-19035	214	2	 	 	SPACE
bracis-19035	214	3	9a	9a	PROPN
bracis-19035	214	4	shows	show	VERB
bracis-19035	214	5	that	that	SCONJ
bracis-19035	214	6	as	as	SCONJ
bracis-19035	214	7	new	new	ADJ
bracis-19035	214	8	non	non	ADJ
bracis-19035	214	9	-	-	ADJ
bracis-19035	214	10	adjacent	adjacent	ADJ
bracis-19035	214	11	vertices	vertex	NOUN
bracis-19035	214	12	are	be	AUX
bracis-19035	214	13	marked	mark	VERB
bracis-19035	214	14	the	the	DET
bracis-19035	214	15	probability	probability	NOUN
bracis-19035	214	16	is	be	AUX
bracis-19035	214	17	affected	affect	VERB
bracis-19035	214	18	.	.	PUNCT
bracis-19035	215	1	note	note	VERB
bracis-19035	215	2	that	that	SCONJ
bracis-19035	215	3	the	the	DET
bracis-19035	215	4	behavior	behavior	NOUN
bracis-19035	215	5	seen	see	VERB
bracis-19035	215	6	in	in	ADP
bracis-19035	215	7	the	the	DET
bracis-19035	215	8	solid	solid	ADJ
bracis-19035	215	9	blue	blue	ADJ
bracis-19035	215	10	curve	curve	NOUN
bracis-19035	215	11	in	in	ADP
bracis-19035	215	12	fig	fig	NOUN
bracis-19035	215	13	.	.	PUNCT
bracis-19035	215	14	 	 	SPACE
bracis-19035	215	15	8	8	NUM
bracis-19035	215	16	when	when	SCONJ
bracis-19035	215	17	there	there	PRON
bracis-19035	215	18	were	be	VERB
bracis-19035	215	19	no	no	DET
bracis-19035	215	20	non	non	ADJ
bracis-19035	215	21	-	-	ADJ
bracis-19035	215	22	adjacent	adjacent	ADJ
bracis-19035	215	23	vertices	vertex	NOUN
bracis-19035	215	24	is	be	AUX
bracis-19035	215	25	similar	similar	ADJ
bracis-19035	215	26	,	,	PUNCT
bracis-19035	215	27	i.e.	i.e.	X
bracis-19035	215	28	,	,	PUNCT
bracis-19035	215	29	as	as	ADP
bracis-19035	215	30	the	the	DET
bracis-19035	215	31	density	density	NOUN
bracis-19035	215	32	of	of	ADP
bracis-19035	215	33	the	the	DET
bracis-19035	215	34	marked	mark	VERB
bracis-19035	215	35	vertices	vertex	NOUN
bracis-19035	215	36	increases	increase	NOUN
bracis-19035	215	37	,	,	PUNCT
bracis-19035	215	38	the	the	DET
bracis-19035	215	39	probabilities	probability	NOUN
bracis-19035	215	40	decrease	decrease	NOUN
bracis-19035	215	41	,	,	PUNCT
bracis-19035	215	42	even	even	ADV
bracis-19035	215	43	adding	add	VERB
bracis-19035	215	44	the	the	DET
bracis-19035	215	45	vertices	vertex	NOUN
bracis-19035	215	46	non	non	ADJ
bracis-19035	215	47	-	-	ADJ
bracis-19035	215	48	adjacent	adjacent	ADJ
bracis-19035	215	49	.	.	PUNCT
bracis-19035	216	1	the	the	DET
bracis-19035	216	2	same	same	ADJ
bracis-19035	216	3	can	can	AUX
bracis-19035	216	4	be	be	AUX
bracis-19035	216	5	seen	see	VERB
bracis-19035	216	6	in	in	ADP
bracis-19035	216	7	the	the	DET
bracis-19035	216	8	case	case	NOUN
bracis-19035	216	9	of	of	ADP
bracis-19035	216	10	the	the	DET
bracis-19035	216	11	dotted	dotted	ADJ
bracis-19035	216	12	orange	orange	NOUN
bracis-19035	216	13	curves	curve	NOUN
bracis-19035	216	14	in	in	ADP
bracis-19035	216	15	figs	fig	NOUN
bracis-19035	216	16	.	.	PUNCT
bracis-19035	216	17	 	 	SPACE
bracis-19035	216	18	8	8	NUM
bracis-19035	216	19	and	and	CCONJ
bracis-19035	216	20	9b	9b	NUM
bracis-19035	216	21	,	,	PUNCT
bracis-19035	216	22	i.e.	i.e.	X
bracis-19035	216	23	,	,	PUNCT
bracis-19035	216	24	when	when	SCONJ
bracis-19035	216	25	the	the	DET
bracis-19035	216	26	density	density	NOUN
bracis-19035	216	27	of	of	ADP
bracis-19035	216	28	the	the	DET
bracis-19035	216	29	marked	mark	VERB
bracis-19035	216	30	vertices	vertex	NOUN
bracis-19035	216	31	increases	increase	NOUN
bracis-19035	216	32	,	,	PUNCT
bracis-19035	216	33	the	the	DET
bracis-19035	216	34	probability	probability	NOUN
bracis-19035	216	35	also	also	ADV
bracis-19035	216	36	increases	increase	VERB
bracis-19035	216	37	,	,	PUNCT
bracis-19035	216	38	this	this	PRON
bracis-19035	216	39	tells	tell	VERB
bracis-19035	216	40	us	we	PRON
bracis-19035	216	41	that	that	SCONJ
bracis-19035	216	42	the	the	DET
bracis-19035	216	43	value	value	NOUN
bracis-19035	216	44	of	of	ADP
bracis-19035	216	45	\(l	\(l	NOUN
bracis-19035	216	46	=	=	SYM
bracis-19035	216	47	(	(	PUNCT
bracis-19035	216	48	n	n	CCONJ
bracis-19035	216	49	/	/	SYM
bracis-19035	216	50	n)\cdot	n)\cdot	ADV
bracis-19035	216	51	k\	k\	NOUN
bracis-19035	216	52	)	)	PUNCT
bracis-19035	216	53	is	be	AUX
bracis-19035	216	54	optimal	optimal	ADJ
bracis-19035	216	55	for	for	ADP
bracis-19035	216	56	high	high	ADJ
bracis-19035	216	57	marked	mark	VERB
bracis-19035	216	58	vertex	vertex	NOUN
bracis-19035	216	59	densities	density	NOUN
bracis-19035	216	60	.	.	PUNCT
bracis-19035	217	1	figure	figure	NOUN
bracis-19035	217	2	 	 	SPACE
bracis-19035	217	3	10	10	NUM
bracis-19035	217	4	shows	show	VERB
bracis-19035	217	5	the	the	DET
bracis-19035	217	6	probability	probability	NOUN
bracis-19035	217	7	of	of	ADP
bracis-19035	217	8	success	success	NOUN
bracis-19035	217	9	for	for	ADP
bracis-19035	217	10	the	the	DET
bracis-19035	217	11	search	search	NOUN
bracis-19035	217	12	of	of	ADP
bracis-19035	217	13	marked	mark	VERB
bracis-19035	217	14	adjacent	adjacent	ADJ
bracis-19035	217	15	and	and	CCONJ
bracis-19035	217	16	non	non	ADJ
bracis-19035	217	17	-	-	ADJ
bracis-19035	217	18	adjacent	adjacent	ADJ
bracis-19035	217	19	vertices	vertex	NOUN
bracis-19035	217	20	in	in	ADP
bracis-19035	217	21	the	the	DET
bracis-19035	217	22	search	search	NOUN
bracis-19035	217	23	space	space	NOUN
bracis-19035	217	24	.	.	PUNCT
bracis-19035	218	1	we	we	PRON
bracis-19035	218	2	performed	perform	VERB
bracis-19035	218	3	an	an	DET
bracis-19035	218	4	experiment	experiment	NOUN
bracis-19035	218	5	,	,	PUNCT
bracis-19035	218	6	where	where	SCONJ
bracis-19035	218	7	,	,	PUNCT
bracis-19035	218	8	at	at	ADP
bracis-19035	218	9	every	every	PRON
bracis-19035	218	10	hundred	hundred	NUM
bracis-19035	218	11	steps	step	NOUN
bracis-19035	218	12	,	,	PUNCT
bracis-19035	218	13	an	an	DET
bracis-19035	218	14	adjacent	adjacent	ADJ
bracis-19035	218	15	vertex	vertex	NOUN
bracis-19035	218	16	and	and	CCONJ
bracis-19035	218	17	a	a	DET
bracis-19035	218	18	non	non	ADJ
bracis-19035	218	19	-	-	ADJ
bracis-19035	218	20	adjacent	adjacent	ADJ
bracis-19035	218	21	vertex	vertex	NOUN
bracis-19035	218	22	were	be	AUX
bracis-19035	218	23	marked	mark	VERB
bracis-19035	218	24	,	,	PUNCT
bracis-19035	218	25	i.e.	i.e.	X
bracis-19035	218	26	,	,	PUNCT
bracis-19035	218	27	for	for	SCONJ
bracis-19035	218	28	each	each	DET
bracis-19035	218	29	m	m	PRON
bracis-19035	218	30	set	set	VERB
bracis-19035	218	31	of	of	ADP
bracis-19035	218	32	adjacent	adjacent	ADJ
bracis-19035	218	33	vertices	vertex	NOUN
bracis-19035	218	34	a	a	DET
bracis-19035	218	35	vertex	vertex	NOUN
bracis-19035	218	36	\(i	\(i	NOUN
bracis-19035	218	37	\notin	\notin	ADP
bracis-19035	218	38	m\	m\	NOUN
bracis-19035	218	39	)	)	PUNCT
bracis-19035	218	40	was	be	AUX
bracis-19035	218	41	marked	mark	VERB
bracis-19035	218	42	randomly	randomly	ADV
bracis-19035	218	43	,	,	PUNCT
bracis-19035	218	44	then	then	ADV
bracis-19035	218	45	,	,	PUNCT
bracis-19035	218	46	\(m	\(m	NOUN
bracis-19035	218	47	'	'	PUNCT
bracis-19035	218	48	=	=	NUM
bracis-19035	218	49	\{0,1,i_{0}\},\{0,1,i_{0},2,i_{1}\},\cdots	\{0,1,i_{0}\},\{0,1,i_{0},2,i_{1}\},\cdot	NOUN
bracis-19035	218	50	,	,	PUNCT
bracis-19035	218	51	\{0,1,i_{0},2,i_{1},4	\{0,1,i_{0},2,i_{1},4	NOUN
bracis-19035	218	52	,	,	PUNCT
bracis-19035	218	53	i_{2},\cdots	i_{2},\cdot	NOUN
bracis-19035	218	54	,	,	PUNCT
bracis-19035	218	55	512,i_{10}\}\	512,i_{10}\}\	NOUN
bracis-19035	218	56	)	)	PUNCT
bracis-19035	218	57	.	.	PUNCT
bracis-19035	219	1	figure	figure	NOUN
bracis-19035	219	2	 	 	SPACE
bracis-19035	219	3	10a	10a	NOUN
bracis-19035	219	4	shows	show	VERB
bracis-19035	219	5	the	the	DET
bracis-19035	219	6	probability	probability	NOUN
bracis-19035	219	7	of	of	ADP
bracis-19035	219	8	success	success	NOUN
bracis-19035	219	9	for	for	ADP
bracis-19035	219	10	\(l	\(l	NOUN
bracis-19035	219	11	=	=	SYM
bracis-19035	219	12	(	(	PUNCT
bracis-19035	219	13	n	n	CCONJ
bracis-19035	219	14	/	/	SYM
bracis-19035	219	15	n)\	n)\	ADJ
bracis-19035	219	16	)	)	PUNCT
bracis-19035	219	17	and	and	CCONJ
bracis-19035	219	18	fig	fig	NOUN
bracis-19035	219	19	.	.	PUNCT
bracis-19035	219	20	 	 	SPACE
bracis-19035	219	21	10b	10b	NOUN
bracis-19035	219	22	shows	show	VERB
bracis-19035	219	23	the	the	DET
bracis-19035	219	24	probability	probability	NOUN
bracis-19035	219	25	of	of	ADP
bracis-19035	219	26	success	success	NOUN
bracis-19035	219	27	for	for	ADP
bracis-19035	219	28	\(l	\(l	NOUN
bracis-19035	219	29	=	=	SYM
bracis-19035	219	30	(	(	PUNCT
bracis-19035	219	31	n	n	CCONJ
bracis-19035	219	32	/	/	SYM
bracis-19035	219	33	n	n	CCONJ
bracis-19035	219	34	)	)	PUNCT
bracis-19035	219	35	\cdot	\cdot	NOUN
bracis-19035	219	36	k\	k\	PROPN
bracis-19035	219	37	)	)	PUNCT
bracis-19035	219	38	.	.	PUNCT
bracis-19035	220	1	note	note	VERB
bracis-19035	220	2	that	that	SCONJ
bracis-19035	220	3	the	the	DET
bracis-19035	220	4	probability	probability	NOUN
bracis-19035	220	5	of	of	ADP
bracis-19035	220	6	success	success	NOUN
bracis-19035	220	7	above	above	ADP
bracis-19035	220	8	\(90\%\	\(90\%\	PRON
bracis-19035	220	9	)	)	PUNCT
bracis-19035	220	10	is	be	AUX
bracis-19035	220	11	achieved	achieve	VERB
bracis-19035	220	12	in	in	ADP
bracis-19035	220	13	a	a	DET
bracis-19035	220	14	smaller	small	ADJ
bracis-19035	220	15	number	number	NOUN
bracis-19035	220	16	of	of	ADP
bracis-19035	220	17	steps	step	NOUN
bracis-19035	220	18	.	.	PUNCT
bracis-19035	221	1	fig	fig	NOUN
bracis-19035	221	2	.	.	PUNCT
bracis-19035	222	1	10	10	NUM
bracis-19035	222	2	.	.	PUNCT
bracis-19035	222	3	probability	probability	NOUN
bracis-19035	222	4	of	of	ADP
bracis-19035	222	5	success	success	NOUN
bracis-19035	222	6	after	after	ADP
bracis-19035	222	7	100	100	NUM
bracis-19035	222	8	steps	step	NOUN
bracis-19035	222	9	with	with	ADP
bracis-19035	222	10	\(n	\(n	NOUN
bracis-19035	222	11	=	=	SYM
bracis-19035	222	12	10\	10\	NUM
bracis-19035	222	13	)	)	PUNCT
bracis-19035	222	14	and	and	CCONJ
bracis-19035	222	15	\(n	\(n	NOUN
bracis-19035	222	16	=	=	SYM
bracis-19035	222	17	1024\	1024\	NUM
bracis-19035	222	18	)	)	PUNCT
bracis-19035	222	19	vertices	vertex	NOUN
bracis-19035	222	20	.	.	PUNCT
bracis-19035	223	1	(	(	PUNCT
bracis-19035	223	2	a	a	X
bracis-19035	223	3	)	)	PUNCT
bracis-19035	223	4	shows	show	VERB
bracis-19035	223	5	the	the	DET
bracis-19035	223	6	probability	probability	NOUN
bracis-19035	223	7	of	of	ADP
bracis-19035	223	8	success	success	NOUN
bracis-19035	223	9	for	for	ADP
bracis-19035	223	10	k	k	PROPN
bracis-19035	223	11	adjacent	adjacent	ADJ
bracis-19035	223	12	and	and	CCONJ
bracis-19035	223	13	non	non	ADJ
bracis-19035	223	14	-	-	ADJ
bracis-19035	223	15	adjacent	adjacent	ADJ
bracis-19035	223	16	marked	mark	VERB
bracis-19035	223	17	vertices	vertex	NOUN
bracis-19035	223	18	for	for	ADP
bracis-19035	223	19	\(l	\(l	NOUN
bracis-19035	223	20	=	=	SYM
bracis-19035	223	21	(	(	PUNCT
bracis-19035	223	22	n	n	CCONJ
bracis-19035	223	23	/	/	SYM
bracis-19035	223	24	n)\	n)\	NOUN
bracis-19035	223	25	)	)	PUNCT
bracis-19035	223	26	.	.	PUNCT
bracis-19035	224	1	(	(	PUNCT
bracis-19035	224	2	b	b	X
bracis-19035	224	3	)	)	PUNCT
bracis-19035	224	4	shows	show	VERB
bracis-19035	224	5	the	the	DET
bracis-19035	224	6	probability	probability	NOUN
bracis-19035	224	7	of	of	ADP
bracis-19035	224	8	success	success	NOUN
bracis-19035	224	9	for	for	ADP
bracis-19035	224	10	k	k	PROPN
bracis-19035	224	11	adjacent	adjacent	ADJ
bracis-19035	224	12	and	and	CCONJ
bracis-19035	224	13	non	non	ADJ
bracis-19035	224	14	-	-	ADJ
bracis-19035	224	15	adjacent	adjacent	ADJ
bracis-19035	224	16	marked	mark	VERB
bracis-19035	224	17	vertices	vertex	NOUN
bracis-19035	224	18	for	for	ADP
bracis-19035	224	19	\(l	\(l	NOUN
bracis-19035	224	20	=	=	SYM
bracis-19035	224	21	(	(	PUNCT
bracis-19035	224	22	n	n	CCONJ
bracis-19035	224	23	/	/	SYM
bracis-19035	224	24	n)\cdot	n)\cdot	ADV
bracis-19035	224	25	k\	k\	NOUN
bracis-19035	224	26	)	)	PUNCT
bracis-19035	224	27	.	.	PUNCT
bracis-19035	225	1	(	(	PUNCT
bracis-19035	225	2	color	color	NOUN
bracis-19035	225	3	figure	figure	NOUN
bracis-19035	225	4	online	online	ADV
bracis-19035	225	5	)	)	PUNCT
bracis-19035	225	6	full	full	ADJ
bracis-19035	225	7	size	size	NOUN
bracis-19035	225	8	image	image	NOUN
bracis-19035	225	9	4	4	NUM
bracis-19035	225	10	conclusions	conclusion	NOUN
bracis-19035	225	11	many	many	ADJ
bracis-19035	225	12	efforts	effort	NOUN
bracis-19035	225	13	are	be	AUX
bracis-19035	225	14	applied	apply	VERB
bracis-19035	225	15	in	in	ADP
bracis-19035	225	16	order	order	NOUN
bracis-19035	225	17	to	to	PART
bracis-19035	225	18	improve	improve	VERB
bracis-19035	225	19	the	the	DET
bracis-19035	225	20	performance	performance	NOUN
bracis-19035	225	21	of	of	ADP
bracis-19035	225	22	quantum	quantum	ADJ
bracis-19035	225	23	search	search	NOUN
bracis-19035	225	24	algorithms	algorithm	NOUN
bracis-19035	225	25	.	.	PUNCT
bracis-19035	226	1	quantum	quantum	NOUN
bracis-19035	226	2	walks	walk	NOUN
bracis-19035	226	3	are	be	AUX
bracis-19035	226	4	the	the	DET
bracis-19035	226	5	main	main	ADJ
bracis-19035	226	6	tool	tool	NOUN
bracis-19035	226	7	for	for	ADP
bracis-19035	226	8	building	build	VERB
bracis-19035	226	9	these	these	DET
bracis-19035	226	10	algorithms	algorithm	NOUN
bracis-19035	226	11	.	.	PUNCT
bracis-19035	227	1	we	we	PRON
bracis-19035	227	2	initially	initially	ADV
bracis-19035	227	3	analyzed	analyze	VERB
bracis-19035	227	4	the	the	DET
bracis-19035	227	5	quantum	quantum	ADJ
bracis-19035	227	6	walk	walk	NOUN
bracis-19035	227	7	in	in	ADP
bracis-19035	227	8	the	the	DET
bracis-19035	227	9	hypercube	hypercube	NOUN
bracis-19035	227	10	applying	apply	VERB
bracis-19035	227	11	grover	grover	NOUN
bracis-19035	227	12	’s	’s	PART
bracis-19035	227	13	search	search	NOUN
bracis-19035	227	14	and	and	CCONJ
bracis-19035	227	15	came	come	VERB
bracis-19035	227	16	to	to	ADP
bracis-19035	227	17	the	the	DET
bracis-19035	227	18	conclusion	conclusion	NOUN
bracis-19035	227	19	that	that	SCONJ
bracis-19035	227	20	neighbor	neighbor	NOUN
bracis-19035	227	21	vertices	vertex	NOUN
bracis-19035	227	22	affect	affect	VERB
bracis-19035	227	23	the	the	DET
bracis-19035	227	24	search	search	NOUN
bracis-19035	227	25	performance	performance	NOUN
bracis-19035	227	26	,	,	PUNCT
bracis-19035	227	27	an	an	DET
bracis-19035	227	28	observation	observation	NOUN
bracis-19035	227	29	that	that	PRON
bracis-19035	227	30	has	have	AUX
bracis-19035	227	31	been	be	AUX
bracis-19035	227	32	corroborated	corroborate	VERB
bracis-19035	227	33	by	by	ADP
bracis-19035	227	34	other	other	ADJ
bracis-19035	227	35	authors	author	NOUN
bracis-19035	227	36	.	.	PUNCT
bracis-19035	228	1	we	we	PRON
bracis-19035	228	2	found	find	VERB
bracis-19035	228	3	that	that	SCONJ
bracis-19035	228	4	the	the	DET
bracis-19035	228	5	walk	walk	NOUN
bracis-19035	228	6	could	could	AUX
bracis-19035	228	7	not	not	PART
bracis-19035	228	8	improve	improve	VERB
bracis-19035	228	9	its	its	PRON
bracis-19035	228	10	results	result	NOUN
bracis-19035	228	11	even	even	ADV
bracis-19035	228	12	for	for	ADP
bracis-19035	228	13	a	a	DET
bracis-19035	228	14	number	number	NOUN
bracis-19035	228	15	of	of	ADP
bracis-19035	228	16	marked	mark	VERB
bracis-19035	228	17	vertices	vertex	NOUN
bracis-19035	228	18	equal	equal	ADJ
bracis-19035	228	19	to	to	ADP
bracis-19035	228	20	one	one	NUM
bracis-19035	228	21	.	.	PUNCT
bracis-19035	229	1	many	many	ADJ
bracis-19035	229	2	authors	author	NOUN
bracis-19035	229	3	have	have	AUX
bracis-19035	229	4	developed	develop	VERB
bracis-19035	229	5	works	work	NOUN
bracis-19035	229	6	for	for	ADP
bracis-19035	229	7	adding	add	VERB
bracis-19035	229	8	self	self	NOUN
bracis-19035	229	9	-	-	PUNCT
bracis-19035	229	10	loops	loop	NOUN
bracis-19035	229	11	in	in	ADP
bracis-19035	229	12	various	various	ADJ
bracis-19035	229	13	types	type	NOUN
bracis-19035	229	14	of	of	ADP
bracis-19035	229	15	graphs	graph	NOUN
bracis-19035	229	16	and	and	CCONJ
bracis-19035	229	17	grids	grid	NOUN
bracis-19035	229	18	of	of	ADP
bracis-19035	229	19	different	different	ADJ
bracis-19035	229	20	dimensions	dimension	NOUN
bracis-19035	229	21	.	.	PUNCT
bracis-19035	230	1	in	in	ADP
bracis-19035	230	2	this	this	DET
bracis-19035	230	3	sense	sense	NOUN
bracis-19035	230	4	,	,	PUNCT
bracis-19035	230	5	we	we	PRON
bracis-19035	230	6	decided	decide	VERB
bracis-19035	230	7	to	to	PART
bracis-19035	230	8	investigate	investigate	VERB
bracis-19035	230	9	how	how	SCONJ
bracis-19035	230	10	to	to	PART
bracis-19035	230	11	improve	improve	VERB
bracis-19035	230	12	the	the	DET
bracis-19035	230	13	quantum	quantum	ADJ
bracis-19035	230	14	search	search	NOUN
bracis-19035	230	15	in	in	ADP
bracis-19035	230	16	the	the	DET
bracis-19035	230	17	hypercube	hypercube	NOUN
bracis-19035	230	18	using	use	VERB
bracis-19035	230	19	self	self	NOUN
bracis-19035	230	20	-	-	PUNCT
bracis-19035	230	21	loops	loop	NOUN
bracis-19035	230	22	.	.	PUNCT
bracis-19035	231	1	previous	previous	ADJ
bracis-19035	231	2	works	work	NOUN
bracis-19035	231	3	defined	define	VERB
bracis-19035	231	4	the	the	DET
bracis-19035	231	5	optimal	optimal	ADJ
bracis-19035	231	6	self	self	NOUN
bracis-19035	231	7	-	-	PUNCT
bracis-19035	231	8	loop	loop	NOUN
bracis-19035	231	9	value	value	NOUN
bracis-19035	231	10	as	as	ADP
bracis-19035	231	11	\(l	\(l	NOUN
bracis-19035	231	12	=	=	SYM
bracis-19035	231	13	(	(	PUNCT
bracis-19035	231	14	d	d	NOUN
bracis-19035	231	15	/	/	SYM
bracis-19035	231	16	n)\	n)\	NUM
bracis-19035	231	17	)	)	PUNCT
bracis-19035	231	18	for	for	ADP
bracis-19035	231	19	one	one	NUM
bracis-19035	231	20	marked	mark	VERB
bracis-19035	231	21	vertex	vertex	NOUN
bracis-19035	231	22	to	to	ADP
bracis-19035	231	23	the	the	DET
bracis-19035	231	24	quantum	quantum	ADJ
bracis-19035	231	25	walk	walk	NOUN
bracis-19035	231	26	on	on	ADP
bracis-19035	231	27	the	the	DET
bracis-19035	231	28	hypercube	hypercube	NOUN
bracis-19035	231	29	.	.	PUNCT
bracis-19035	232	1	after	after	ADP
bracis-19035	232	2	performing	perform	VERB
bracis-19035	232	3	experiments	experiment	NOUN
bracis-19035	232	4	we	we	PRON
bracis-19035	232	5	saw	see	VERB
bracis-19035	232	6	that	that	SCONJ
bracis-19035	232	7	this	this	DET
bracis-19035	232	8	value	value	NOUN
bracis-19035	232	9	of	of	ADP
bracis-19035	232	10	l	l	NOUN
bracis-19035	232	11	was	be	AUX
bracis-19035	232	12	not	not	PART
bracis-19035	232	13	optimal	optimal	ADJ
bracis-19035	232	14	for	for	ADP
bracis-19035	232	15	multiple	multiple	ADJ
bracis-19035	232	16	marked	mark	VERB
bracis-19035	232	17	vertices	vertex	NOUN
bracis-19035	232	18	.	.	PUNCT
bracis-19035	233	1	we	we	PRON
bracis-19035	233	2	arrive	arrive	VERB
bracis-19035	233	3	at	at	ADP
bracis-19035	233	4	a	a	DET
bracis-19035	233	5	value	value	NOUN
bracis-19035	233	6	of	of	ADP
bracis-19035	233	7	\(l	\(l	NOUN
bracis-19035	233	8	=	=	SYM
bracis-19035	233	9	(	(	PUNCT
bracis-19035	233	10	n	n	CCONJ
bracis-19035	233	11	/	/	SYM
bracis-19035	233	12	n)\cdot	n)\cdot	ADV
bracis-19035	233	13	k\	k\	NOUN
bracis-19035	233	14	)	)	PUNCT
bracis-19035	233	15	for	for	ADP
bracis-19035	233	16	an	an	DET
bracis-19035	233	17	arbitrary	arbitrary	ADJ
bracis-19035	233	18	number	number	NOUN
bracis-19035	233	19	of	of	ADP
bracis-19035	233	20	vertices	vertex	NOUN
bracis-19035	233	21	.	.	PUNCT
bracis-19035	234	1	this	this	DET
bracis-19035	234	2	value	value	NOUN
bracis-19035	234	3	is	be	AUX
bracis-19035	234	4	also	also	ADV
bracis-19035	234	5	used	use	VERB
bracis-19035	234	6	when	when	SCONJ
bracis-19035	234	7	searching	search	VERB
bracis-19035	234	8	in	in	ADP
bracis-19035	234	9	two	two	NUM
bracis-19035	234	10	-	-	PUNCT
bracis-19035	234	11	dimensional	dimensional	ADJ
bracis-19035	234	12	grids	grid	NOUN
bracis-19035	234	13	.	.	PUNCT
bracis-19035	235	1	another	another	DET
bracis-19035	235	2	aspect	aspect	NOUN
bracis-19035	235	3	of	of	ADP
bracis-19035	235	4	the	the	DET
bracis-19035	235	5	quantum	quantum	ADJ
bracis-19035	235	6	walk	walk	NOUN
bracis-19035	235	7	in	in	ADP
bracis-19035	235	8	the	the	DET
bracis-19035	235	9	hypercube	hypercube	NOUN
bracis-19035	235	10	is	be	AUX
bracis-19035	235	11	whether	whether	SCONJ
bracis-19035	235	12	the	the	DET
bracis-19035	235	13	marked	mark	VERB
bracis-19035	235	14	vertex	vertex	NOUN
bracis-19035	235	15	is	be	AUX
bracis-19035	235	16	adjacent	adjacent	ADJ
bracis-19035	235	17	or	or	CCONJ
bracis-19035	235	18	not	not	PART
bracis-19035	235	19	,	,	PUNCT
bracis-19035	235	20	this	this	PRON
bracis-19035	235	21	interferes	interfere	VERB
bracis-19035	235	22	with	with	ADP
bracis-19035	235	23	the	the	DET
bracis-19035	235	24	search	search	NOUN
bracis-19035	235	25	performance	performance	NOUN
bracis-19035	235	26	.	.	PUNCT
bracis-19035	236	1	we	we	PRON
bracis-19035	236	2	then	then	ADV
bracis-19035	236	3	analyzed	analyze	VERB
bracis-19035	236	4	whether	whether	SCONJ
bracis-19035	236	5	the	the	DET
bracis-19035	236	6	value	value	NOUN
bracis-19035	236	7	of	of	ADP
bracis-19035	236	8	\(l	\(l	NOUN
bracis-19035	236	9	=	=	SYM
bracis-19035	236	10	(	(	PUNCT
bracis-19035	236	11	n	n	CCONJ
bracis-19035	236	12	/	/	SYM
bracis-19035	236	13	n)\	n)\	ADJ
bracis-19035	236	14	)	)	PUNCT
bracis-19035	236	15	and	and	CCONJ
bracis-19035	236	16	\(l	\(l	NOUN
bracis-19035	236	17	=	=	SYM
bracis-19035	236	18	(	(	PUNCT
bracis-19035	236	19	n	n	CCONJ
bracis-19035	236	20	/	/	SYM
bracis-19035	236	21	n)\cdot	n)\cdot	ADV
bracis-19035	236	22	k\	k\	NOUN
bracis-19035	236	23	)	)	PUNCT
bracis-19035	236	24	had	have	VERB
bracis-19035	236	25	any	any	DET
bracis-19035	236	26	positive	positive	ADJ
bracis-19035	236	27	effect	effect	NOUN
bracis-19035	236	28	when	when	SCONJ
bracis-19035	236	29	applied	apply	VERB
bracis-19035	236	30	to	to	ADP
bracis-19035	236	31	the	the	DET
bracis-19035	236	32	hypercube	hypercube	ADJ
bracis-19035	236	33	vertices	vertex	NOUN
bracis-19035	236	34	.	.	PUNCT
bracis-19035	237	1	the	the	DET
bracis-19035	237	2	results	result	NOUN
bracis-19035	237	3	show	show	VERB
bracis-19035	237	4	that	that	SCONJ
bracis-19035	237	5	the	the	DET
bracis-19035	237	6	value	value	NOUN
bracis-19035	237	7	of	of	ADP
bracis-19035	237	8	\(l	\(l	NOUN
bracis-19035	237	9	=	=	SYM
bracis-19035	237	10	(	(	PUNCT
bracis-19035	237	11	n	n	CCONJ
bracis-19035	237	12	/	/	SYM
bracis-19035	237	13	n)\	n)\	ADJ
bracis-19035	237	14	)	)	PUNCT
bracis-19035	237	15	is	be	AUX
bracis-19035	237	16	not	not	PART
bracis-19035	237	17	optimal	optimal	ADJ
bracis-19035	237	18	for	for	ADP
bracis-19035	237	19	the	the	DET
bracis-19035	237	20	quantum	quantum	ADJ
bracis-19035	237	21	walk	walk	NOUN
bracis-19035	237	22	in	in	ADP
bracis-19035	237	23	the	the	DET
bracis-19035	237	24	hypercube	hypercube	NOUN
bracis-19035	237	25	with	with	ADP
bracis-19035	237	26	multiple	multiple	ADJ
bracis-19035	237	27	marked	mark	VERB
bracis-19035	237	28	vertices	vertex	NOUN
bracis-19035	237	29	adjacent	adjacent	ADJ
bracis-19035	237	30	or	or	CCONJ
bracis-19035	237	31	not	not	PART
bracis-19035	237	32	.	.	PUNCT
bracis-19035	238	1	it	it	PRON
bracis-19035	238	2	also	also	ADV
bracis-19035	238	3	shows	show	VERB
bracis-19035	238	4	that	that	SCONJ
bracis-19035	238	5	for	for	ADP
bracis-19035	238	6	a	a	DET
bracis-19035	238	7	search	search	NOUN
bracis-19035	238	8	space	space	NOUN
bracis-19035	238	9	where	where	SCONJ
bracis-19035	238	10	there	there	PRON
bracis-19035	238	11	are	be	VERB
bracis-19035	238	12	marked	mark	VERB
bracis-19035	238	13	adjacent	adjacent	ADJ
bracis-19035	238	14	vertices	vertex	NOUN
bracis-19035	238	15	,	,	PUNCT
bracis-19035	238	16	just	just	ADV
bracis-19035	238	17	one	one	NUM
bracis-19035	238	18	non	non	ADJ
bracis-19035	238	19	-	-	ADJ
bracis-19035	238	20	adjacent	adjacent	ADJ
bracis-19035	238	21	marked	mark	VERB
bracis-19035	238	22	vertex	vertex	NOUN
bracis-19035	238	23	is	be	AUX
bracis-19035	238	24	sufficient	sufficient	ADJ
bracis-19035	238	25	for	for	ADP
bracis-19035	238	26	the	the	DET
bracis-19035	238	27	value	value	NOUN
bracis-19035	238	28	of	of	ADP
bracis-19035	238	29	\(l	\(l	NOUN
bracis-19035	238	30	=	=	SYM
bracis-19035	238	31	(	(	PUNCT
bracis-19035	238	32	n	n	CCONJ
bracis-19035	238	33	/	/	SYM
bracis-19035	238	34	n)\cdot	n)\cdot	ADV
bracis-19035	238	35	k\	k\	NOUN
bracis-19035	238	36	)	)	PUNCT
bracis-19035	238	37	to	to	PART
bracis-19035	238	38	be	be	AUX
bracis-19035	238	39	better	well	ADJ
bracis-19035	238	40	.	.	PUNCT
bracis-19035	239	1	according	accord	VERB
bracis-19035	239	2	to	to	ADP
bracis-19035	239	3	the	the	DET
bracis-19035	239	4	results	result	NOUN
bracis-19035	239	5	presented	present	VERB
bracis-19035	239	6	here	here	ADV
bracis-19035	239	7	,	,	PUNCT
bracis-19035	239	8	there	there	PRON
bracis-19035	239	9	is	be	VERB
bracis-19035	239	10	a	a	DET
bracis-19035	239	11	greater	great	ADJ
bracis-19035	239	12	than	than	ADP
bracis-19035	239	13	\(90\%\	\(90\%\	NOUN
bracis-19035	239	14	)	)	PUNCT
bracis-19035	239	15	probability	probability	NOUN
bracis-19035	239	16	that	that	SCONJ
bracis-19035	239	17	the	the	DET
bracis-19035	239	18	measurement	measurement	NOUN
bracis-19035	239	19	will	will	AUX
bracis-19035	239	20	collapse	collapse	VERB
bracis-19035	239	21	in	in	ADP
bracis-19035	239	22	one	one	NUM
bracis-19035	239	23	of	of	ADP
bracis-19035	239	24	the	the	DET
bracis-19035	239	25	solutions	solution	NOUN
bracis-19035	239	26	.	.	PUNCT
bracis-19035	240	1	recent	recent	ADJ
bracis-19035	240	2	works	work	NOUN
bracis-19035	240	3	have	have	AUX
bracis-19035	240	4	used	use	VERB
bracis-19035	240	5	the	the	DET
bracis-19035	240	6	quantum	quantum	NOUN
bracis-19035	240	7	walks	walk	NOUN
bracis-19035	240	8	to	to	PART
bracis-19035	240	9	search	search	VERB
bracis-19035	240	10	weights	weight	NOUN
bracis-19035	240	11	and	and	CCONJ
bracis-19035	240	12	train	train	VERB
bracis-19035	240	13	artificial	artificial	ADJ
bracis-19035	240	14	neural	neural	ADJ
bracis-19035	240	15	networks	network	NOUN
bracis-19035	240	16	[	[	X
bracis-19035	240	17	19	19	NUM
bracis-19035	240	18	,	,	PUNCT
bracis-19035	240	19	20	20	NUM
bracis-19035	240	20	]	]	PUNCT
bracis-19035	240	21	.	.	PUNCT
bracis-19035	241	1	the	the	DET
bracis-19035	241	2	quantum	quantum	ADJ
bracis-19035	241	3	walk	walk	NOUN
bracis-19035	241	4	in	in	ADP
bracis-19035	241	5	the	the	DET
bracis-19035	241	6	hypercube	hypercube	NOUN
bracis-19035	241	7	has	have	VERB
bracis-19035	241	8	an	an	DET
bracis-19035	241	9	interesting	interesting	ADJ
bracis-19035	241	10	behavior	behavior	NOUN
bracis-19035	241	11	,	,	PUNCT
bracis-19035	241	12	the	the	DET
bracis-19035	241	13	amplification	amplification	NOUN
bracis-19035	241	14	of	of	ADP
bracis-19035	241	15	neighbors	neighbor	NOUN
bracis-19035	241	16	vertices	vertice	VERB
bracis-19035	241	17	.	.	PUNCT
bracis-19035	242	1	in	in	ADP
bracis-19035	242	2	future	future	ADJ
bracis-19035	242	3	work	work	NOUN
bracis-19035	242	4	,	,	PUNCT
bracis-19035	242	5	we	we	PRON
bracis-19035	242	6	intend	intend	VERB
bracis-19035	242	7	to	to	PART
bracis-19035	242	8	use	use	VERB
bracis-19035	242	9	this	this	DET
bracis-19035	242	10	quantum	quantum	ADJ
bracis-19035	242	11	walk	walk	NOUN
bracis-19035	242	12	to	to	PART
bracis-19035	242	13	find	find	VERB
bracis-19035	242	14	a	a	DET
bracis-19035	242	15	set	set	NOUN
bracis-19035	242	16	of	of	ADP
bracis-19035	242	17	weights	weight	NOUN
bracis-19035	242	18	to	to	PART
bracis-19035	242	19	initialize	initialize	VERB
bracis-19035	242	20	and	and	CCONJ
bracis-19035	242	21	train	train	VERB
bracis-19035	242	22	classical	classical	ADJ
bracis-19035	242	23	artificial	artificial	ADJ
bracis-19035	242	24	neural	neural	ADJ
bracis-19035	242	25	networks	network	NOUN
bracis-19035	242	26	.	.	PUNCT
bracis-19035	243	1	we	we	PRON
bracis-19035	243	2	also	also	ADV
bracis-19035	243	3	intend	intend	VERB
bracis-19035	243	4	to	to	PART
bracis-19035	243	5	analyze	analyze	VERB
bracis-19035	243	6	the	the	DET
bracis-19035	243	7	quantum	quantum	ADJ
bracis-19035	243	8	walk	walk	NOUN
bracis-19035	243	9	in	in	ADP
bracis-19035	243	10	the	the	DET
bracis-19035	243	11	hypercube	hypercube	NOUN
bracis-19035	243	12	with	with	ADP
bracis-19035	243	13	multiple	multiple	ADJ
bracis-19035	243	14	weighted	weight	VERB
bracis-19035	243	15	self	self	NOUN
bracis-19035	243	16	-	-	PUNCT
bracis-19035	243	17	loops	loop	NOUN
bracis-19035	243	18	.	.	PUNCT
bracis-19035	244	1	references	reference	NOUN
bracis-19035	244	2	aharonov	aharonov	VERB
bracis-19035	244	3	,	,	PUNCT
bracis-19035	244	4	y.	y.	PROPN
bracis-19035	244	5	,	,	PUNCT
bracis-19035	244	6	davidovich	davidovich	PROPN
bracis-19035	244	7	,	,	PUNCT
bracis-19035	244	8	l.	l.	PROPN
bracis-19035	244	9	,	,	PUNCT
bracis-19035	244	10	zagury	zagury	PROPN
bracis-19035	244	11	,	,	PUNCT
bracis-19035	244	12	n.	n.	NOUN
bracis-19035	244	13	:	:	PUNCT
bracis-19035	244	14	quantum	quantum	ADJ
bracis-19035	244	15	random	random	ADJ
bracis-19035	244	16	walks	walk	NOUN
bracis-19035	244	17	.	.	PUNCT
bracis-19035	245	1	phys	phy	NOUN
bracis-19035	245	2	.	.	PUNCT
bracis-19035	246	1	rev	rev	PROPN
bracis-19035	246	2	.	.	PUNCT
bracis-19035	247	1	a	a	DET
bracis-19035	247	2	48(2	48(2	NOUN
bracis-19035	247	3	)	)	PUNCT
bracis-19035	247	4	,	,	PUNCT
bracis-19035	247	5	1687	1687	NUM
bracis-19035	247	6	(	(	PUNCT
bracis-19035	247	7	1993	1993	NUM
bracis-19035	247	8	)	)	PUNCT
bracis-19035	247	9	article	article	NOUN
bracis-19035	247	10	  	  	SPACE
bracis-19035	247	11	google	google	PROPN
bracis-19035	247	12	scholar	scholar	NOUN
bracis-19035	247	13	  	  	SPACE
bracis-19035	247	14	ambainis	ambainis	PROPN
bracis-19035	247	15	,	,	PUNCT
bracis-19035	247	16	a.	a.	NOUN
bracis-19035	247	17	,	,	PUNCT
bracis-19035	247	18	bačkurs	bačkurs	PROPN
bracis-19035	247	19	,	,	PUNCT
bracis-19035	247	20	a.	a.	NOUN
bracis-19035	247	21	,	,	PUNCT
bracis-19035	247	22	nahimovs	nahimovs	PROPN
bracis-19035	247	23	,	,	PUNCT
bracis-19035	247	24	n.	n.	NOUN
bracis-19035	247	25	,	,	PUNCT
bracis-19035	247	26	ozols	ozols	PROPN
bracis-19035	247	27	,	,	PUNCT
bracis-19035	247	28	r.	r.	PROPN
bracis-19035	247	29	,	,	PUNCT
bracis-19035	247	30	rivosh	rivosh	PROPN
bracis-19035	247	31	,	,	PUNCT
bracis-19035	247	32	a.	a.	NOUN
bracis-19035	247	33	:	:	PUNCT
bracis-19035	247	34	search	search	NOUN
bracis-19035	247	35	by	by	ADP
bracis-19035	247	36	quantum	quantum	NOUN
bracis-19035	247	37	walks	walk	NOUN
bracis-19035	247	38	on	on	ADP
bracis-19035	247	39	two	two	NUM
bracis-19035	247	40	-	-	PUNCT
bracis-19035	247	41	dimensional	dimensional	ADJ
bracis-19035	247	42	grid	grid	NOUN
bracis-19035	247	43	without	without	ADP
bracis-19035	247	44	amplitude	amplitude	NOUN
bracis-19035	247	45	amplification	amplification	NOUN
bracis-19035	247	46	.	.	PUNCT
bracis-19035	248	1	in	in	ADP
bracis-19035	248	2	:	:	PUNCT
bracis-19035	248	3	iwama	iwama	PROPN
bracis-19035	248	4	,	,	PUNCT
bracis-19035	248	5	k.	k.	PROPN
bracis-19035	248	6	,	,	PUNCT
bracis-19035	248	7	kawano	kawano	PROPN
bracis-19035	248	8	,	,	PUNCT
bracis-19035	248	9	y.	y.	PROPN
bracis-19035	248	10	,	,	PUNCT
bracis-19035	248	11	murao	murao	INTJ
bracis-19035	248	12	,	,	PUNCT
bracis-19035	248	13	m.	m.	NOUN
bracis-19035	248	14	(	(	PUNCT
bracis-19035	248	15	eds	ed	NOUN
bracis-19035	248	16	.	.	PUNCT
bracis-19035	248	17	)	)	PUNCT
bracis-19035	248	18	tqc	tqc	PROPN
bracis-19035	248	19	2012	2012	NUM
bracis-19035	248	20	.	.	PUNCT
bracis-19035	249	1	lncs	lncs	PROPN
bracis-19035	249	2	,	,	PUNCT
bracis-19035	249	3	vol	vol	NOUN
bracis-19035	249	4	.	.	PROPN
bracis-19035	249	5	7582	7582	NUM
bracis-19035	249	6	,	,	PUNCT
bracis-19035	249	7	pp	pp	ADJ
bracis-19035	249	8	.	.	PUNCT
bracis-19035	250	1	87–97	87–97	NUM
bracis-19035	250	2	.	.	PUNCT
bracis-19035	251	1	springer	springer	NOUN
bracis-19035	251	2	,	,	PUNCT
bracis-19035	251	3	heidelberg	heidelberg	PROPN
bracis-19035	251	4	(	(	PUNCT
bracis-19035	251	5	2013	2013	NUM
bracis-19035	251	6	)	)	PUNCT
bracis-19035	251	7	.	.	PUNCT
bracis-19035	252	1	https://doi.org/10.1007/978-3-642-35656-8_7	https://doi.org/10.1007/978-3-642-35656-8_7	PROPN
bracis-19035	252	2	chapter	chapter	NOUN
bracis-19035	252	3	  	  	SPACE
bracis-19035	252	4	math	math	NOUN
bracis-19035	252	5	  	  	SPACE
bracis-19035	252	6	google	google	PROPN
bracis-19035	252	7	scholar	scholar	NOUN
bracis-19035	252	8	  	  	SPACE
bracis-19035	252	9	ambainis	ambainis	PROPN
bracis-19035	252	10	,	,	PUNCT
bracis-19035	252	11	a.	a.	NOUN
bracis-19035	252	12	,	,	PUNCT
bracis-19035	252	13	kempe	kempe	PROPN
bracis-19035	252	14	,	,	PUNCT
bracis-19035	252	15	j.	j.	PROPN
bracis-19035	252	16	,	,	PUNCT
bracis-19035	252	17	rivosh	rivosh	PROPN
bracis-19035	252	18	,	,	PUNCT
bracis-19035	252	19	a.	a.	NOUN
bracis-19035	252	20	:	:	PUNCT
bracis-19035	252	21	coins	coin	NOUN
bracis-19035	252	22	make	make	VERB
bracis-19035	252	23	quantum	quantum	NOUN
bracis-19035	252	24	walks	walk	NOUN
bracis-19035	252	25	faster	fast	ADV
bracis-19035	252	26	.	.	PUNCT
bracis-19035	253	1	arxiv	arxiv	PROPN
bracis-19035	253	2	preprint	preprint	VERB
bracis-19035	253	3	quant	quant	NOUN
bracis-19035	253	4	-	-	PUNCT
bracis-19035	253	5	ph/0402107	ph/0402107	NOUN
bracis-19035	253	6	(	(	PUNCT
bracis-19035	253	7	2004	2004	NUM
bracis-19035	253	8	)	)	PUNCT
bracis-19035	253	9	google	google	PROPN
bracis-19035	253	10	scholar	scholar	NOUN
bracis-19035	253	11	  	  	SPACE
bracis-19035	253	12	bezerra	bezerra	PROPN
bracis-19035	253	13	,	,	PUNCT
bracis-19035	253	14	g.	g.	PROPN
bracis-19035	253	15	,	,	PUNCT
bracis-19035	253	16	lugão	lugão	PROPN
bracis-19035	253	17	,	,	PUNCT
bracis-19035	253	18	p.	p.	PROPN
bracis-19035	253	19	,	,	PUNCT
bracis-19035	253	20	portugal	portugal	PROPN
bracis-19035	253	21	,	,	PUNCT
bracis-19035	253	22	r.	r.	PROPN
bracis-19035	253	23	:	:	PUNCT
bracis-19035	253	24	quantum	quantum	PROPN
bracis-19035	253	25	walk	walk	NOUN
bracis-19035	253	26	-	-	PUNCT
bracis-19035	253	27	based	base	VERB
bracis-19035	253	28	search	search	NOUN
bracis-19035	253	29	algorithms	algorithm	NOUN
bracis-19035	253	30	with	with	ADP
bracis-19035	253	31	multiple	multiple	ADJ
bracis-19035	253	32	marked	mark	VERB
bracis-19035	253	33	vertices	vertex	NOUN
bracis-19035	253	34	.	.	PUNCT
bracis-19035	254	1	phys	phy	NOUN
bracis-19035	254	2	.	.	PUNCT
bracis-19035	255	1	rev	rev	PROPN
bracis-19035	255	2	.	.	PUNCT
bracis-19035	256	1	a	a	DET
bracis-19035	256	2	103(6	103(6	NUM
bracis-19035	256	3	)	)	PUNCT
bracis-19035	256	4	,	,	PUNCT
bracis-19035	256	5	062202	062202	NUM
bracis-19035	256	6	(	(	PUNCT
bracis-19035	256	7	2021	2021	NUM
bracis-19035	256	8	)	)	PUNCT
bracis-19035	256	9	article	article	NOUN
bracis-19035	256	10	  	  	SPACE
bracis-19035	256	11	mathscinet	mathscinet	NOUN
bracis-19035	256	12	  	  	SPACE
bracis-19035	256	13	google	google	PROPN
bracis-19035	256	14	scholar	scholar	NOUN
bracis-19035	256	15	  	  	SPACE
bracis-19035	256	16	de	de	X
bracis-19035	256	17	carvalho	carvalho	NOUN
bracis-19035	256	18	,	,	PUNCT
bracis-19035	256	19	j.h.a	j.h.a	NOUN
bracis-19035	256	20	.	.	PROPN
bracis-19035	256	21	,	,	PUNCT
bracis-19035	256	22	de	de	PROPN
bracis-19035	256	23	souza	souza	PROPN
bracis-19035	256	24	,	,	PUNCT
bracis-19035	256	25	l.s	l.s	PROPN
bracis-19035	256	26	.	.	PROPN
bracis-19035	256	27	,	,	PUNCT
bracis-19035	256	28	de	de	PROPN
bracis-19035	256	29	paula	paula	PROPN
bracis-19035	256	30	neto	neto	PROPN
bracis-19035	256	31	,	,	PUNCT
bracis-19035	256	32	f.m	f.m	PROPN
bracis-19035	256	33	.	.	PROPN
bracis-19035	256	34	,	,	PUNCT
bracis-19035	256	35	ferreira	ferreira	PROPN
bracis-19035	256	36	,	,	PUNCT
bracis-19035	256	37	t.a.e	t.a.e	PROPN
bracis-19035	256	38	.	.	PUNCT
bracis-19035	256	39	:	:	PUNCT
bracis-19035	257	1	impacts	impact	NOUN
bracis-19035	257	2	of	of	ADP
bracis-19035	257	3	multiple	multiple	ADJ
bracis-19035	257	4	solutions	solution	NOUN
bracis-19035	257	5	on	on	ADP
bracis-19035	257	6	the	the	DET
bracis-19035	257	7	lackadaisical	lackadaisical	ADJ
bracis-19035	257	8	quantum	quantum	NOUN
bracis-19035	257	9	walk	walk	NOUN
bracis-19035	257	10	search	search	NOUN
bracis-19035	257	11	algorithm	algorithm	NOUN
bracis-19035	257	12	.	.	PUNCT
bracis-19035	258	1	in	in	ADP
bracis-19035	258	2	:	:	PUNCT
bracis-19035	258	3	cerri	cerri	PROPN
bracis-19035	258	4	,	,	PUNCT
bracis-19035	258	5	r.	r.	PROPN
bracis-19035	258	6	,	,	PUNCT
bracis-19035	258	7	prati	prati	PROPN
bracis-19035	258	8	,	,	PUNCT
bracis-19035	258	9	r.c	r.c	PROPN
bracis-19035	258	10	.	.	PROPN
bracis-19035	258	11	(	(	PUNCT
bracis-19035	258	12	eds	ed	NOUN
bracis-19035	258	13	.	.	PUNCT
bracis-19035	258	14	)	)	PUNCT
bracis-19035	258	15	bracis	bracis	PROPN
bracis-19035	258	16	2020	2020	NUM
bracis-19035	258	17	.	.	PUNCT
bracis-19035	259	1	lncs	lncs	PROPN
bracis-19035	259	2	(	(	PUNCT
bracis-19035	259	3	lnai	lnai	ADJ
bracis-19035	259	4	)	)	PUNCT
bracis-19035	259	5	,	,	PUNCT
bracis-19035	259	6	vol	vol	NOUN
bracis-19035	259	7	.	.	PUNCT
bracis-19035	259	8	12319	12319	NUM
bracis-19035	259	9	,	,	PUNCT
bracis-19035	259	10	pp	pp	ADP
bracis-19035	259	11	.	.	PUNCT
bracis-19035	260	1	122–135	122–135	NUM
bracis-19035	260	2	.	.	PUNCT
bracis-19035	260	3	springer	springer	NOUN
bracis-19035	260	4	,	,	PUNCT
bracis-19035	260	5	cham	cham	PROPN
bracis-19035	260	6	(	(	PUNCT
bracis-19035	260	7	2020	2020	NUM
bracis-19035	260	8	)	)	PUNCT
bracis-19035	260	9	.	.	PUNCT
bracis-19035	261	1	https://doi.org/10.1007/978-3-030-61377-8_9	https://doi.org/10.1007/978-3-030-61377-8_9	NOUN
bracis-19035	261	2	chapter	chapter	NOUN
bracis-19035	261	3	  	  	SPACE
bracis-19035	261	4	google	google	PROPN
bracis-19035	261	5	scholar	scholar	NOUN
bracis-19035	261	6	  	  	SPACE
bracis-19035	261	7	carvalho	carvalho	NOUN
bracis-19035	261	8	,	,	PUNCT
bracis-19035	261	9	j.h.a	j.h.a	NOUN
bracis-19035	261	10	.	.	PROPN
bracis-19035	261	11	,	,	PUNCT
bracis-19035	261	12	souza	souza	PROPN
bracis-19035	261	13	,	,	PUNCT
bracis-19035	261	14	l.s	l.s	PROPN
bracis-19035	261	15	.	.	PROPN
bracis-19035	261	16	,	,	PUNCT
bracis-19035	261	17	paula	paula	PROPN
bracis-19035	261	18	neto	neto	PROPN
bracis-19035	261	19	,	,	PUNCT
bracis-19035	261	20	f.m	f.m	PROPN
bracis-19035	261	21	.	.	PROPN
bracis-19035	261	22	,	,	PUNCT
bracis-19035	261	23	ferreira	ferreira	PROPN
bracis-19035	261	24	,	,	PUNCT
bracis-19035	261	25	t.a.e	t.a.e	PROPN
bracis-19035	261	26	.	.	PUNCT
bracis-19035	261	27	:	:	PUNCT
bracis-19035	262	1	on	on	ADP
bracis-19035	262	2	applying	apply	VERB
bracis-19035	262	3	the	the	DET
bracis-19035	262	4	lackadaisical	lackadaisical	ADJ
bracis-19035	262	5	quantum	quantum	NOUN
bracis-19035	262	6	walk	walk	NOUN
bracis-19035	262	7	algorithm	algorithm	NOUN
bracis-19035	262	8	to	to	PART
bracis-19035	262	9	search	search	VERB
bracis-19035	262	10	for	for	ADP
bracis-19035	262	11	multiple	multiple	ADJ
bracis-19035	262	12	solutions	solution	NOUN
bracis-19035	262	13	on	on	ADP
bracis-19035	262	14	grids	grid	NOUN
bracis-19035	262	15	.	.	PUNCT
bracis-19035	263	1	arxiv	arxiv	PROPN
bracis-19035	263	2	preprint	preprint	VERB
bracis-19035	263	3	quant	quant	NOUN
bracis-19035	263	4	-	-	PUNCT
bracis-19035	263	5	ph/2106.06274	ph/2106.06274	NOUN
bracis-19035	263	6	(	(	PUNCT
bracis-19035	263	7	2021	2021	NUM
bracis-19035	263	8	)	)	PUNCT
bracis-19035	263	9	google	google	NOUN
bracis-19035	263	10	scholar	scholar	NOUN
bracis-19035	263	11	  	  	SPACE
bracis-19035	263	12	kempe	kempe	VERB
bracis-19035	263	13	,	,	PUNCT
bracis-19035	263	14	j.	j.	PROPN
bracis-19035	263	15	:	:	PUNCT
bracis-19035	263	16	quantum	quantum	ADJ
bracis-19035	263	17	random	random	ADJ
bracis-19035	263	18	walks	walk	NOUN
bracis-19035	263	19	hit	hit	VERB
bracis-19035	263	20	exponentially	exponentially	ADV
bracis-19035	263	21	faster	fast	ADV
bracis-19035	263	22	.	.	PUNCT
bracis-19035	264	1	arxiv	arxiv	PROPN
bracis-19035	264	2	preprint	preprint	VERB
bracis-19035	264	3	quant	quant	PROPN
bracis-19035	264	4	-	-	PUNCT
bracis-19035	264	5	ph/0205083	ph/0205083	PROPN
bracis-19035	264	6	(	(	PUNCT
bracis-19035	264	7	2002	2002	NUM
bracis-19035	264	8	)	)	PUNCT
bracis-19035	264	9	google	google	PROPN
bracis-19035	264	10	scholar	scholar	NOUN
bracis-19035	264	11	  	  	SPACE
bracis-19035	264	12	mcmahon	mcmahon	PROPN
bracis-19035	264	13	,	,	PUNCT
bracis-19035	264	14	d.	d.	PROPN
bracis-19035	264	15	:	:	PUNCT
bracis-19035	264	16	quantum	quantum	PROPN
bracis-19035	264	17	computing	computing	NOUN
bracis-19035	264	18	explained	explain	VERB
bracis-19035	264	19	.	.	PUNCT
bracis-19035	265	1	wiley	wiley	PROPN
bracis-19035	265	2	,	,	PUNCT
bracis-19035	265	3	new	new	PROPN
bracis-19035	265	4	york	york	PROPN
bracis-19035	265	5	(	(	PUNCT
bracis-19035	265	6	2007	2007	NUM
bracis-19035	265	7	)	)	PUNCT
bracis-19035	265	8	google	google	PROPN
bracis-19035	265	9	scholar	scholar	NOUN
bracis-19035	265	10	  	  	SPACE
bracis-19035	265	11	moore	moore	PROPN
bracis-19035	265	12	,	,	PUNCT
bracis-19035	265	13	c.	c.	PROPN
bracis-19035	265	14	,	,	PUNCT
bracis-19035	265	15	russell	russell	PROPN
bracis-19035	265	16	,	,	PUNCT
bracis-19035	265	17	a.	a.	NOUN
bracis-19035	265	18	:	:	PUNCT
bracis-19035	265	19	quantum	quantum	NOUN
bracis-19035	265	20	walks	walk	VERB
bracis-19035	265	21	on	on	ADP
bracis-19035	265	22	the	the	DET
bracis-19035	265	23	hypercube	hypercube	NOUN
bracis-19035	265	24	.	.	PUNCT
bracis-19035	266	1	in	in	ADP
bracis-19035	266	2	:	:	PUNCT
bracis-19035	266	3	rolim	rolim	PROPN
bracis-19035	266	4	,	,	PUNCT
bracis-19035	266	5	j.d.p	j.d.p	PROPN
bracis-19035	266	6	.	.	PUNCT
bracis-19035	266	7	,	,	PUNCT
bracis-19035	266	8	vadhan	vadhan	PROPN
bracis-19035	266	9	,	,	PUNCT
bracis-19035	266	10	s.	s.	PROPN
bracis-19035	266	11	(	(	PUNCT
bracis-19035	266	12	eds	eds	PROPN
bracis-19035	266	13	.	.	PUNCT
bracis-19035	266	14	)	)	PUNCT
bracis-19035	267	1	random	random	ADJ
bracis-19035	267	2	2002	2002	NUM
bracis-19035	267	3	.	.	PUNCT
bracis-19035	268	1	lncs	lncs	PROPN
bracis-19035	268	2	,	,	PUNCT
bracis-19035	268	3	vol	vol	NOUN
bracis-19035	268	4	.	.	PROPN
bracis-19035	268	5	2483	2483	NUM
bracis-19035	268	6	,	,	PUNCT
bracis-19035	268	7	pp	pp	ADP
bracis-19035	268	8	.	.	PUNCT
bracis-19035	269	1	164–178	164–178	NUM
bracis-19035	269	2	.	.	PUNCT
bracis-19035	270	1	springer	springer	NOUN
bracis-19035	270	2	,	,	PUNCT
bracis-19035	270	3	heidelberg	heidelberg	PROPN
bracis-19035	270	4	(	(	PUNCT
bracis-19035	270	5	2002	2002	NUM
bracis-19035	270	6	)	)	PUNCT
bracis-19035	270	7	.	.	PUNCT
bracis-19035	271	1	https://doi.org/10.1007/3-540-45726-7_14	https://doi.org/10.1007/3-540-45726-7_14	PROPN
bracis-19035	271	2	chapter	chapter	NOUN
bracis-19035	271	3	  	  	SPACE
bracis-19035	271	4	google	google	PROPN
bracis-19035	271	5	scholar	scholar	NOUN
bracis-19035	271	6	  	  	SPACE
bracis-19035	271	7	nahimovs	nahimovs	NOUN
bracis-19035	271	8	,	,	PUNCT
bracis-19035	271	9	n.	n.	NOUN
bracis-19035	271	10	:	:	PUNCT
bracis-19035	271	11	lackadaisical	lackadaisical	ADJ
bracis-19035	271	12	quantum	quantum	NOUN
bracis-19035	271	13	walks	walk	NOUN
bracis-19035	271	14	with	with	ADP
bracis-19035	271	15	multiple	multiple	ADJ
bracis-19035	271	16	marked	mark	VERB
bracis-19035	271	17	vertices	vertex	NOUN
bracis-19035	271	18	.	.	PUNCT
bracis-19035	272	1	in	in	ADP
bracis-19035	272	2	:	:	PUNCT
bracis-19035	272	3	catania	catania	PROPN
bracis-19035	272	4	,	,	PUNCT
bracis-19035	272	5	b.	b.	PROPN
bracis-19035	272	6	,	,	PUNCT
bracis-19035	272	7	královič	královič	PROPN
bracis-19035	272	8	,	,	PUNCT
bracis-19035	272	9	r.	r.	PROPN
bracis-19035	272	10	,	,	PUNCT
bracis-19035	272	11	nawrocki	nawrocki	PROPN
bracis-19035	272	12	,	,	PUNCT
bracis-19035	272	13	j.	j.	PROPN
bracis-19035	272	14	,	,	PUNCT
bracis-19035	272	15	pighizzini	pighizzini	PROPN
bracis-19035	272	16	,	,	PUNCT
bracis-19035	272	17	g.	g.	PROPN
bracis-19035	272	18	(	(	PUNCT
bracis-19035	272	19	eds	eds	PROPN
bracis-19035	272	20	.	.	PUNCT
bracis-19035	272	21	)	)	PUNCT
bracis-19035	272	22	sofsem	sofsem	NOUN
bracis-19035	272	23	2019	2019	NUM
bracis-19035	272	24	.	.	PUNCT
bracis-19035	273	1	lncs	lncs	PROPN
bracis-19035	273	2	,	,	PUNCT
bracis-19035	273	3	vol	vol	NOUN
bracis-19035	273	4	.	.	PROPN
bracis-19035	273	5	11376	11376	NUM
bracis-19035	273	6	,	,	PUNCT
bracis-19035	273	7	pp	pp	ADJ
bracis-19035	273	8	.	.	PUNCT
bracis-19035	274	1	368–378	368–378	NUM
bracis-19035	274	2	.	.	PUNCT
bracis-19035	274	3	springer	springer	NOUN
bracis-19035	274	4	,	,	PUNCT
bracis-19035	274	5	cham	cham	PROPN
bracis-19035	274	6	(	(	PUNCT
bracis-19035	274	7	2019	2019	NUM
bracis-19035	274	8	)	)	PUNCT
bracis-19035	274	9	.	.	PUNCT
bracis-19035	275	1	https://doi.org/10.1007/978-3-030-10801-4_29	https://doi.org/10.1007/978-3-030-10801-4_29	PROPN
bracis-19035	275	2	chapter	chapter	NOUN
bracis-19035	275	3	  	  	SPACE
bracis-19035	275	4	google	google	PROPN
bracis-19035	275	5	scholar	scholar	NOUN
bracis-19035	275	6	  	  	SPACE
bracis-19035	275	7	nahimovs	nahimovs	NOUN
bracis-19035	275	8	,	,	PUNCT
bracis-19035	275	9	n.	n.	NOUN
bracis-19035	275	10	,	,	PUNCT
bracis-19035	275	11	santos	santos	PROPN
bracis-19035	275	12	,	,	PUNCT
bracis-19035	275	13	r.a.m	r.a.m	PROPN
bracis-19035	275	14	.	.	PROPN
bracis-19035	275	15	,	,	PUNCT
bracis-19035	275	16	khadiev	khadiev	PROPN
bracis-19035	275	17	,	,	PUNCT
bracis-19035	275	18	k.r	k.r	PROPN
bracis-19035	275	19	.	.	PROPN
bracis-19035	275	20	:	:	PUNCT
bracis-19035	276	1	adjacent	adjacent	ADJ
bracis-19035	276	2	vertices	vertex	NOUN
bracis-19035	276	3	can	can	AUX
bracis-19035	276	4	be	be	AUX
bracis-19035	276	5	hard	hard	ADJ
bracis-19035	276	6	to	to	PART
bracis-19035	276	7	find	find	VERB
bracis-19035	276	8	by	by	ADP
bracis-19035	276	9	quantum	quantum	NOUN
bracis-19035	276	10	walks	walk	NOUN
bracis-19035	276	11	.	.	PUNCT
bracis-19035	277	1	mosc	mosc	PROPN
bracis-19035	277	2	.	.	PUNCT
bracis-19035	278	1	univ	univ	PROPN
bracis-19035	278	2	.	.	PUNCT
bracis-19035	279	1	comput	comput	PROPN
bracis-19035	279	2	.	.	PUNCT
bracis-19035	280	1	math	math	NOUN
bracis-19035	280	2	.	.	PUNCT
bracis-19035	281	1	cybern	cybern	PROPN
bracis-19035	281	2	.	.	PUNCT
bracis-19035	282	1	43(1	43(1	NUM
bracis-19035	282	2	)	)	PUNCT
bracis-19035	282	3	,	,	PUNCT
bracis-19035	282	4	32–39	32–39	NUM
bracis-19035	282	5	(	(	PUNCT
bracis-19035	282	6	2019	2019	NUM
bracis-19035	282	7	)	)	PUNCT
bracis-19035	282	8	article	article	NOUN
bracis-19035	282	9	  	  	SPACE
bracis-19035	282	10	mathscinet	mathscinet	NOUN
bracis-19035	282	11	  	  	SPACE
bracis-19035	282	12	google	google	PROPN
bracis-19035	282	13	scholar	scholar	NOUN
bracis-19035	282	14	  	  	SPACE
bracis-19035	282	15	nahimovs	nahimovs	NOUN
bracis-19035	282	16	,	,	PUNCT
bracis-19035	282	17	n.	n.	NOUN
bracis-19035	282	18	,	,	PUNCT
bracis-19035	282	19	santos	santos	PROPN
bracis-19035	282	20	,	,	PUNCT
bracis-19035	282	21	r.a	r.a	PROPN
bracis-19035	282	22	.	.	PROPN
bracis-19035	282	23	:	:	PUNCT
bracis-19035	283	1	lackadaisical	lackadaisical	ADJ
bracis-19035	283	2	quantum	quantum	NOUN
bracis-19035	283	3	walks	walk	NOUN
bracis-19035	283	4	on	on	ADP
bracis-19035	283	5	2d	2d	NOUN
bracis-19035	283	6	grids	grid	NOUN
bracis-19035	283	7	with	with	ADP
bracis-19035	283	8	multiple	multiple	ADJ
bracis-19035	283	9	marked	mark	VERB
bracis-19035	283	10	vertices	vertex	NOUN
bracis-19035	283	11	.	.	PUNCT
bracis-19035	284	1	arxiv	arxiv	PROPN
bracis-19035	284	2	preprint	preprint	PROPN
bracis-19035	284	3	arxiv:2104.09955	arxiv:2104.09955	PROPN
bracis-19035	284	4	(	(	PUNCT
bracis-19035	284	5	2021	2021	NUM
bracis-19035	284	6	)	)	PUNCT
bracis-19035	284	7	nielsen	nielsen	PROPN
bracis-19035	284	8	,	,	PUNCT
bracis-19035	284	9	m.a	m.a	PROPN
bracis-19035	284	10	.	.	PROPN
bracis-19035	284	11	,	,	PUNCT
bracis-19035	284	12	chuang	chuang	PROPN
bracis-19035	284	13	,	,	PUNCT
bracis-19035	284	14	i.	i.	NOUN
bracis-19035	284	15	:	:	PUNCT
bracis-19035	284	16	quantum	quantum	ADJ
bracis-19035	284	17	computation	computation	NOUN
bracis-19035	284	18	and	and	CCONJ
bracis-19035	284	19	quantum	quantum	NOUN
bracis-19035	284	20	information	information	NOUN
bracis-19035	284	21	.	.	PUNCT
bracis-19035	285	1	aapt	aapt	PROPN
bracis-19035	285	2	,	,	PUNCT
bracis-19035	285	3	cambridge	cambridge	PROPN
bracis-19035	285	4	(	(	PUNCT
bracis-19035	285	5	2002	2002	NUM
bracis-19035	285	6	)	)	PUNCT
bracis-19035	285	7	google	google	PROPN
bracis-19035	285	8	scholar	scholar	NOUN
bracis-19035	285	9	  	  	SPACE
bracis-19035	285	10	potoček	potoček	NOUN
bracis-19035	285	11	,	,	PUNCT
bracis-19035	285	12	v.	v.	ADV
bracis-19035	285	13	,	,	PUNCT
bracis-19035	285	14	gábris	gábris	PROPN
bracis-19035	285	15	,	,	PUNCT
bracis-19035	285	16	a.	a.	NOUN
bracis-19035	285	17	,	,	PUNCT
bracis-19035	285	18	kiss	kiss	VERB
bracis-19035	285	19	,	,	PUNCT
bracis-19035	285	20	t.	t.	PROPN
bracis-19035	285	21	,	,	PUNCT
bracis-19035	285	22	jex	jex	PROPN
bracis-19035	285	23	,	,	PUNCT
bracis-19035	285	24	i.	i.	PROPN
bracis-19035	285	25	:	:	PUNCT
bracis-19035	285	26	optimized	optimize	VERB
bracis-19035	285	27	quantum	quantum	ADJ
bracis-19035	285	28	random	random	ADJ
bracis-19035	285	29	-	-	PUNCT
bracis-19035	285	30	walk	walk	NOUN
bracis-19035	285	31	search	search	NOUN
bracis-19035	285	32	algorithms	algorithm	NOUN
bracis-19035	285	33	on	on	ADP
bracis-19035	285	34	the	the	DET
bracis-19035	285	35	hypercube	hypercube	NOUN
bracis-19035	285	36	.	.	PUNCT
bracis-19035	286	1	phys	phy	NOUN
bracis-19035	286	2	.	.	PUNCT
bracis-19035	287	1	rev	rev	PROPN
bracis-19035	287	2	.	.	PUNCT
bracis-19035	288	1	a	a	DET
bracis-19035	288	2	79(1	79(1	NOUN
bracis-19035	288	3	)	)	PUNCT
bracis-19035	288	4	,	,	PUNCT
bracis-19035	288	5	012325	012325	NUM
bracis-19035	288	6	(	(	PUNCT
bracis-19035	288	7	2009	2009	NUM
bracis-19035	288	8	)	)	PUNCT
bracis-19035	288	9	article	article	NOUN
bracis-19035	288	10	  	  	SPACE
bracis-19035	288	11	google	google	PROPN
bracis-19035	288	12	scholar	scholar	NOUN
bracis-19035	288	13	  	  	SPACE
bracis-19035	288	14	rhodes	rhode	NOUN
bracis-19035	288	15	,	,	PUNCT
bracis-19035	288	16	m.l	m.l	PROPN
bracis-19035	288	17	.	.	PROPN
bracis-19035	288	18	,	,	PUNCT
bracis-19035	288	19	wong	wong	PROPN
bracis-19035	288	20	,	,	PUNCT
bracis-19035	288	21	t.g	t.g	PROPN
bracis-19035	288	22	.	.	PROPN
bracis-19035	288	23	:	:	PUNCT
bracis-19035	288	24	quantum	quantum	NOUN
bracis-19035	288	25	walk	walk	NOUN
bracis-19035	288	26	search	search	NOUN
bracis-19035	288	27	on	on	ADP
bracis-19035	288	28	the	the	DET
bracis-19035	288	29	complete	complete	ADJ
bracis-19035	288	30	bipartite	bipartite	NOUN
bracis-19035	288	31	graph	graph	NOUN
bracis-19035	288	32	.	.	PUNCT
bracis-19035	289	1	phys	phy	NOUN
bracis-19035	289	2	.	.	PUNCT
bracis-19035	290	1	rev	rev	PROPN
bracis-19035	290	2	.	.	PUNCT
bracis-19035	291	1	a	a	DET
bracis-19035	291	2	99(3	99(3	NUM
bracis-19035	291	3	)	)	PUNCT
bracis-19035	291	4	,	,	PUNCT
bracis-19035	291	5	032301	032301	NUM
bracis-19035	291	6	(	(	PUNCT
bracis-19035	291	7	2019	2019	NUM
bracis-19035	291	8	)	)	PUNCT
bracis-19035	291	9	article	article	NOUN
bracis-19035	291	10	  	  	SPACE
bracis-19035	291	11	google	google	PROPN
bracis-19035	291	12	scholar	scholar	NOUN
bracis-19035	291	13	  	  	SPACE
bracis-19035	291	14	rhodes	rhode	NOUN
bracis-19035	291	15	,	,	PUNCT
bracis-19035	291	16	m.l	m.l	PROPN
bracis-19035	291	17	.	.	PROPN
bracis-19035	291	18	,	,	PUNCT
bracis-19035	291	19	wong	wong	PROPN
bracis-19035	291	20	,	,	PUNCT
bracis-19035	291	21	t.g	t.g	PROPN
bracis-19035	291	22	.	.	PROPN
bracis-19035	291	23	:	:	PUNCT
bracis-19035	291	24	search	search	NOUN
bracis-19035	291	25	on	on	ADP
bracis-19035	291	26	vertex	vertex	NOUN
bracis-19035	291	27	-	-	PUNCT
bracis-19035	291	28	transitive	transitive	ADJ
bracis-19035	291	29	graphs	graph	NOUN
bracis-19035	291	30	by	by	ADP
bracis-19035	291	31	lackadaisical	lackadaisical	ADJ
bracis-19035	291	32	quantum	quantum	NOUN
bracis-19035	291	33	walk	walk	NOUN
bracis-19035	291	34	.	.	PUNCT
bracis-19035	292	1	quantum	quantum	PROPN
bracis-19035	292	2	inf	inf	PROPN
bracis-19035	292	3	.	.	PUNCT
bracis-19035	292	4	process	process	NOUN
bracis-19035	292	5	.	.	PUNCT
bracis-19035	293	1	19(9	19(9	NUM
bracis-19035	293	2	)	)	PUNCT
bracis-19035	293	3	,	,	PUNCT
bracis-19035	293	4	1–16	1–16	PROPN
bracis-19035	293	5	(	(	PUNCT
bracis-19035	293	6	2020	2020	NUM
bracis-19035	293	7	)	)	PUNCT
bracis-19035	293	8	article	article	NOUN
bracis-19035	293	9	  	  	SPACE
bracis-19035	293	10	mathscinet	mathscinet	NOUN
bracis-19035	293	11	  	  	SPACE
bracis-19035	293	12	google	google	PROPN
bracis-19035	293	13	scholar	scholar	NOUN
bracis-19035	293	14	  	  	SPACE
bracis-19035	293	15	shenvi	shenvi	NOUN
bracis-19035	293	16	,	,	PUNCT
bracis-19035	293	17	n.	n.	PROPN
bracis-19035	293	18	,	,	PUNCT
bracis-19035	293	19	kempe	kempe	PROPN
bracis-19035	293	20	,	,	PUNCT
bracis-19035	293	21	j.	j.	PROPN
bracis-19035	293	22	,	,	PUNCT
bracis-19035	293	23	whaley	whaley	PROPN
bracis-19035	293	24	,	,	PUNCT
bracis-19035	293	25	k.b	k.b	PROPN
bracis-19035	293	26	.	.	PROPN
bracis-19035	293	27	:	:	PUNCT
bracis-19035	293	28	quantum	quantum	ADJ
bracis-19035	293	29	random	random	ADJ
bracis-19035	293	30	-	-	PUNCT
bracis-19035	293	31	walk	walk	NOUN
bracis-19035	293	32	search	search	NOUN
bracis-19035	293	33	algorithm	algorithm	NOUN
bracis-19035	293	34	.	.	PUNCT
bracis-19035	294	1	phys	phy	NOUN
bracis-19035	294	2	.	.	PUNCT
bracis-19035	295	1	rev	rev	PROPN
bracis-19035	295	2	.	.	PUNCT
bracis-19035	296	1	a	a	DET
bracis-19035	296	2	67(5	67(5	NOUN
bracis-19035	296	3	)	)	PUNCT
bracis-19035	296	4	,	,	PUNCT
bracis-19035	296	5	052307	052307	NUM
bracis-19035	296	6	(	(	PUNCT
bracis-19035	296	7	2003	2003	NUM
bracis-19035	296	8	)	)	PUNCT
bracis-19035	296	9	article	article	NOUN
bracis-19035	296	10	  	  	SPACE
bracis-19035	296	11	google	google	PROPN
bracis-19035	296	12	scholar	scholar	NOUN
bracis-19035	296	13	  	  	SPACE
bracis-19035	296	14	singh	singh	PROPN
bracis-19035	296	15	,	,	PUNCT
bracis-19035	296	16	j.	j.	PROPN
bracis-19035	296	17	,	,	PUNCT
bracis-19035	296	18	singh	singh	PROPN
bracis-19035	296	19	,	,	PUNCT
bracis-19035	296	20	m.	m.	NOUN
bracis-19035	296	21	:	:	PUNCT
bracis-19035	296	22	evolution	evolution	NOUN
bracis-19035	296	23	in	in	ADP
bracis-19035	296	24	quantum	quantum	ADJ
bracis-19035	296	25	computing	computing	NOUN
bracis-19035	296	26	.	.	PUNCT
bracis-19035	297	1	in	in	ADP
bracis-19035	297	2	:	:	PUNCT
bracis-19035	297	3	2016	2016	NUM
bracis-19035	297	4	international	international	ADJ
bracis-19035	297	5	conference	conference	NOUN
bracis-19035	297	6	system	system	NOUN
bracis-19035	297	7	modeling	modeling	NOUN
bracis-19035	297	8	&	&	CCONJ
bracis-19035	297	9	advancement	advancement	NOUN
bracis-19035	297	10	in	in	ADP
bracis-19035	297	11	research	research	NOUN
bracis-19035	297	12	trends	trend	NOUN
bracis-19035	297	13	(	(	PUNCT
bracis-19035	297	14	smart	smart	ADJ
bracis-19035	297	15	)	)	PUNCT
bracis-19035	297	16	,	,	PUNCT
bracis-19035	297	17	pp	pp	ADJ
bracis-19035	297	18	.	.	PUNCT
bracis-19035	298	1	267–270	267–270	NUM
bracis-19035	298	2	.	.	PUNCT
bracis-19035	299	1	ieee	ieee	NOUN
bracis-19035	299	2	(	(	PUNCT
bracis-19035	299	3	2016	2016	NUM
bracis-19035	299	4	)	)	PUNCT
bracis-19035	299	5	google	google	PROPN
bracis-19035	299	6	scholar	scholar	NOUN
bracis-19035	299	7	  	  	SPACE
bracis-19035	299	8	souza	souza	PROPN
bracis-19035	299	9	,	,	PUNCT
bracis-19035	299	10	l.s	l.s	PROPN
bracis-19035	299	11	.	.	PROPN
bracis-19035	299	12	,	,	PUNCT
bracis-19035	299	13	carvalho	carvalho	PROPN
bracis-19035	299	14	,	,	PUNCT
bracis-19035	299	15	j.h.a	j.h.a	NOUN
bracis-19035	299	16	.	.	PROPN
bracis-19035	299	17	,	,	PUNCT
bracis-19035	299	18	ferreira	ferreira	PROPN
bracis-19035	299	19	,	,	PUNCT
bracis-19035	299	20	t.a.e	t.a.e	PROPN
bracis-19035	299	21	.	.	PUNCT
bracis-19035	299	22	:	:	PUNCT
bracis-19035	299	23	quantum	quantum	NOUN
bracis-19035	299	24	walk	walk	VERB
bracis-19035	299	25	to	to	PART
bracis-19035	299	26	train	train	VERB
bracis-19035	299	27	a	a	DET
bracis-19035	299	28	classical	classical	ADJ
bracis-19035	299	29	artificial	artificial	ADJ
bracis-19035	299	30	neural	neural	ADJ
bracis-19035	299	31	network	network	NOUN
bracis-19035	299	32	.	.	PUNCT
bracis-19035	300	1	in	in	ADP
bracis-19035	300	2	:	:	PUNCT
bracis-19035	300	3	2019	2019	NUM
bracis-19035	300	4	8th	8th	ADJ
bracis-19035	300	5	brazilian	brazilian	ADJ
bracis-19035	300	6	conference	conference	NOUN
bracis-19035	300	7	on	on	ADP
bracis-19035	300	8	intelligent	intelligent	ADJ
bracis-19035	300	9	systems	system	NOUN
bracis-19035	300	10	(	(	PUNCT
bracis-19035	300	11	bracis	bracis	NOUN
bracis-19035	300	12	)	)	PUNCT
bracis-19035	300	13	,	,	PUNCT
bracis-19035	300	14	pp	pp	ADP
bracis-19035	300	15	.	.	PUNCT
bracis-19035	301	1	836–841	836–841	NUM
bracis-19035	301	2	.	.	PUNCT
bracis-19035	302	1	ieee	ieee	NOUN
bracis-19035	302	2	(	(	PUNCT
bracis-19035	302	3	2019	2019	NUM
bracis-19035	302	4	)	)	PUNCT
bracis-19035	302	5	google	google	PROPN
bracis-19035	302	6	scholar	scholar	NOUN
bracis-19035	302	7	  	  	SPACE
bracis-19035	302	8	souza	souza	PROPN
bracis-19035	302	9	,	,	PUNCT
bracis-19035	302	10	l.s	l.s	PROPN
bracis-19035	302	11	.	.	PROPN
bracis-19035	302	12	,	,	PUNCT
bracis-19035	302	13	carvalho	carvalho	PROPN
bracis-19035	302	14	,	,	PUNCT
bracis-19035	302	15	j.h.a	j.h.a	NOUN
bracis-19035	302	16	.	.	PROPN
bracis-19035	302	17	,	,	PUNCT
bracis-19035	302	18	ferreira	ferreira	PROPN
bracis-19035	302	19	,	,	PUNCT
bracis-19035	302	20	t.a.e	t.a.e	PROPN
bracis-19035	302	21	.	.	PUNCT
bracis-19035	302	22	:	:	PUNCT
bracis-19035	303	1	classical	classical	ADJ
bracis-19035	303	2	artificial	artificial	ADJ
bracis-19035	303	3	neural	neural	ADJ
bracis-19035	303	4	network	network	NOUN
bracis-19035	303	5	training	training	NOUN
bracis-19035	303	6	using	use	VERB
bracis-19035	303	7	quantum	quantum	NOUN
bracis-19035	303	8	walks	walk	NOUN
bracis-19035	303	9	as	as	ADP
bracis-19035	303	10	a	a	DET
bracis-19035	303	11	search	search	NOUN
bracis-19035	303	12	procedure	procedure	NOUN
bracis-19035	303	13	.	.	PUNCT
bracis-19035	304	1	ieee	ieee	PROPN
bracis-19035	304	2	trans	trans	PROPN
bracis-19035	304	3	.	.	PUNCT
bracis-19035	305	1	comput	comput	NOUN
bracis-19035	305	2	.	.	PUNCT
bracis-19035	306	1	(	(	PUNCT
bracis-19035	306	2	2021	2021	NUM
bracis-19035	306	3	)	)	PUNCT
bracis-19035	306	4	google	google	NOUN
bracis-19035	306	5	scholar	scholar	NOUN
bracis-19035	306	6	  	  	SPACE
bracis-19035	306	7	venegas	venegas	PROPN
bracis-19035	306	8	-	-	PUNCT
bracis-19035	306	9	andraca	andraca	PROPN
bracis-19035	306	10	,	,	PUNCT
bracis-19035	306	11	s.e	s.e	PROPN
bracis-19035	306	12	.	.	PROPN
bracis-19035	306	13	:	:	PUNCT
bracis-19035	306	14	quantum	quantum	NOUN
bracis-19035	306	15	walks	walk	NOUN
bracis-19035	306	16	:	:	PUNCT
bracis-19035	306	17	a	a	DET
bracis-19035	306	18	comprehensive	comprehensive	ADJ
bracis-19035	306	19	review	review	NOUN
bracis-19035	306	20	.	.	PUNCT
bracis-19035	307	1	quantum	quantum	PROPN
bracis-19035	307	2	inf	inf	PROPN
bracis-19035	307	3	.	.	PUNCT
bracis-19035	307	4	process	process	NOUN
bracis-19035	307	5	.	.	PUNCT
bracis-19035	308	1	11(5	11(5	NUM
bracis-19035	308	2	)	)	PUNCT
bracis-19035	308	3	,	,	PUNCT
bracis-19035	308	4	1015–1106	1015–1106	NUM
bracis-19035	308	5	(	(	PUNCT
bracis-19035	308	6	2012	2012	NUM
bracis-19035	308	7	)	)	PUNCT
bracis-19035	308	8	article	article	NOUN
bracis-19035	308	9	  	  	SPACE
bracis-19035	308	10	mathscinet	mathscinet	NOUN
bracis-19035	308	11	  	  	SPACE
bracis-19035	308	12	google	google	PROPN
bracis-19035	308	13	scholar	scholar	NOUN
bracis-19035	308	14	  	  	SPACE
bracis-19035	308	15	wang	wang	PROPN
bracis-19035	308	16	,	,	PUNCT
bracis-19035	308	17	h.	h.	PROPN
bracis-19035	308	18	,	,	PUNCT
bracis-19035	308	19	zhou	zhou	PROPN
bracis-19035	308	20	,	,	PUNCT
bracis-19035	308	21	j.	j.	PROPN
bracis-19035	308	22	,	,	PUNCT
bracis-19035	308	23	wu	wu	PROPN
bracis-19035	308	24	,	,	PUNCT
bracis-19035	308	25	j.	j.	PROPN
bracis-19035	308	26	,	,	PUNCT
bracis-19035	308	27	yi	yi	PROPN
bracis-19035	308	28	,	,	PUNCT
bracis-19035	308	29	x.	x.	NOUN
bracis-19035	308	30	:	:	PUNCT
bracis-19035	308	31	adjustable	adjustable	ADJ
bracis-19035	308	32	self	self	NOUN
bracis-19035	308	33	-	-	PUNCT
bracis-19035	308	34	loop	loop	NOUN
bracis-19035	308	35	on	on	ADP
bracis-19035	308	36	discrete	discrete	ADJ
bracis-19035	308	37	-	-	PUNCT
bracis-19035	308	38	time	time	NOUN
bracis-19035	308	39	quantum	quantum	NOUN
bracis-19035	308	40	walk	walk	NOUN
bracis-19035	308	41	and	and	CCONJ
bracis-19035	308	42	its	its	PRON
bracis-19035	308	43	application	application	NOUN
bracis-19035	308	44	in	in	ADP
bracis-19035	308	45	spatial	spatial	ADJ
bracis-19035	308	46	search	search	NOUN
bracis-19035	308	47	.	.	PUNCT
bracis-19035	309	1	arxiv	arxiv	PROPN
bracis-19035	309	2	preprint	preprint	NOUN
bracis-19035	309	3	arxiv:1707.00601	arxiv:1707.00601	PROPN
bracis-19035	309	4	(	(	PUNCT
bracis-19035	309	5	2017	2017	NUM
bracis-19035	309	6	)	)	PUNCT
bracis-19035	309	7	wong	wong	PROPN
bracis-19035	309	8	,	,	PUNCT
bracis-19035	309	9	t.g	t.g	PROPN
bracis-19035	309	10	.	.	PROPN
bracis-19035	309	11	:	:	PUNCT
bracis-19035	309	12	grover	grover	NOUN
bracis-19035	309	13	search	search	NOUN
bracis-19035	309	14	with	with	ADP
bracis-19035	309	15	lackadaisical	lackadaisical	ADJ
bracis-19035	309	16	quantum	quantum	NOUN
bracis-19035	309	17	walks	walk	NOUN
bracis-19035	309	18	.	.	PUNCT
bracis-19035	310	1	j.	j.	PROPN
bracis-19035	310	2	phys	phys	PROPN
bracis-19035	310	3	.	.	PUNCT
bracis-19035	311	1	a	a	DET
bracis-19035	311	2	:	:	PUNCT
bracis-19035	311	3	math	math	NOUN
bracis-19035	311	4	.	.	PUNCT
bracis-19035	312	1	theor	theor	PROPN
bracis-19035	312	2	.	.	PUNCT
bracis-19035	313	1	48(43	48(43	NUM
bracis-19035	313	2	)	)	PUNCT
bracis-19035	313	3	,	,	PUNCT
bracis-19035	313	4	435304	435304	NUM
bracis-19035	313	5	(	(	PUNCT
bracis-19035	313	6	2015	2015	NUM
bracis-19035	313	7	)	)	PUNCT
bracis-19035	313	8	article	article	NOUN
bracis-19035	313	9	  	  	SPACE
bracis-19035	313	10	mathscinet	mathscinet	NOUN
bracis-19035	313	11	  	  	SPACE
bracis-19035	313	12	google	google	PROPN
bracis-19035	313	13	scholar	scholar	NOUN
bracis-19035	313	14	  	  	SPACE
bracis-19035	313	15	wong	wong	PROPN
bracis-19035	313	16	,	,	PUNCT
bracis-19035	313	17	t.g	t.g	PROPN
bracis-19035	313	18	.	.	PROPN
bracis-19035	313	19	:	:	PUNCT
bracis-19035	313	20	faster	fast	ADJ
bracis-19035	313	21	search	search	NOUN
bracis-19035	313	22	by	by	ADP
bracis-19035	313	23	lackadaisical	lackadaisical	ADJ
bracis-19035	313	24	quantum	quantum	NOUN
bracis-19035	313	25	walk	walk	NOUN
bracis-19035	313	26	.	.	PUNCT
bracis-19035	314	1	quantum	quantum	PROPN
bracis-19035	314	2	inf	inf	PROPN
bracis-19035	314	3	.	.	PUNCT
bracis-19035	314	4	process	process	NOUN
bracis-19035	314	5	.	.	PUNCT
bracis-19035	315	1	17(3	17(3	NUM
bracis-19035	315	2	)	)	PUNCT
bracis-19035	315	3	,	,	PUNCT
bracis-19035	315	4	1–9	1–9	NUM
bracis-19035	315	5	(	(	PUNCT
bracis-19035	315	6	2018	2018	NUM
bracis-19035	315	7	)	)	PUNCT
bracis-19035	315	8	article	article	NOUN
bracis-19035	315	9	  	  	SPACE
bracis-19035	315	10	mathscinet	mathscinet	NOUN
bracis-19035	315	11	  	  	SPACE
bracis-19035	315	12	google	google	PROPN
bracis-19035	315	13	scholar	scholar	NOUN
bracis-19035	315	14	  	  	SPACE
bracis-19035	315	15	yanofsky	yanofsky	NOUN
bracis-19035	315	16	,	,	PUNCT
bracis-19035	315	17	n.s	n.s	PROPN
bracis-19035	315	18	.	.	PROPN
bracis-19035	315	19	,	,	PUNCT
bracis-19035	315	20	mannucci	mannucci	PROPN
bracis-19035	315	21	,	,	PUNCT
bracis-19035	315	22	m.a	m.a	PROPN
bracis-19035	315	23	.	.	PROPN
bracis-19035	315	24	:	:	PUNCT
bracis-19035	315	25	quantum	quantum	PROPN
bracis-19035	315	26	computing	computing	NOUN
bracis-19035	315	27	for	for	ADP
bracis-19035	315	28	computer	computer	NOUN
bracis-19035	315	29	scientists	scientist	NOUN
bracis-19035	315	30	.	.	PUNCT
bracis-19035	316	1	cambridge	cambridge	PROPN
bracis-19035	316	2	university	university	PROPN
bracis-19035	316	3	press	press	PROPN
bracis-19035	316	4	,	,	PUNCT
bracis-19035	316	5	cambridge	cambridge	PROPN
bracis-19035	316	6	(	(	PUNCT
bracis-19035	316	7	2008	2008	NUM
bracis-19035	316	8	)	)	PUNCT
bracis-19035	316	9	google	google	PROPN
bracis-19035	316	10	scholar	scholar	NOUN
bracis-19035	316	11	  	  	SPACE
bracis-19035	316	12	download	download	NOUN
bracis-19035	316	13	references	reference	NOUN
bracis-19035	316	14	author	author	NOUN
bracis-19035	316	15	information	information	NOUN
bracis-19035	316	16	authors	author	NOUN
bracis-19035	316	17	and	and	CCONJ
bracis-19035	316	18	affiliations	affiliation	NOUN
bracis-19035	316	19	departamento	departamento	PROPN
bracis-19035	316	20	de	de	PROPN
bracis-19035	316	21	estatística	estatística	PROPN
bracis-19035	316	22	e	e	PROPN
bracis-19035	316	23	informática	informática	PROPN
bracis-19035	316	24	,	,	PUNCT
bracis-19035	316	25	universidade	universidade	PROPN
bracis-19035	316	26	federal	federal	PROPN
bracis-19035	316	27	rural	rural	PROPN
bracis-19035	316	28	de	de	X
bracis-19035	316	29	pernambuco	pernambuco	PROPN
bracis-19035	316	30	,	,	PUNCT
bracis-19035	316	31	recife	recife	PROPN
bracis-19035	316	32	,	,	PUNCT
bracis-19035	316	33	brazil	brazil	PROPN
bracis-19035	316	34	luciano	luciano	PROPN
bracis-19035	316	35	s.	s.	PROPN
bracis-19035	316	36	de	de	PROPN
bracis-19035	316	37	souza	souza	PROPN
bracis-19035	316	38	 	 	SPACE
bracis-19035	316	39	&	&	CCONJ
bracis-19035	316	40	 	 	SPACE
bracis-19035	316	41	tiago	tiago	PROPN
bracis-19035	316	42	a.	a.	PROPN
bracis-19035	316	43	e.	e.	PROPN
bracis-19035	316	44	ferreira	ferreira	PROPN
bracis-19035	316	45	centro	centro	PROPN
bracis-19035	316	46	de	de	PROPN
bracis-19035	316	47	informática	informática	PROPN
bracis-19035	316	48	,	,	PUNCT
bracis-19035	316	49	universidade	universidade	PROPN
bracis-19035	316	50	federal	federal	PROPN
bracis-19035	316	51	de	de	PROPN
bracis-19035	316	52	pernambuco	pernambuco	PROPN
bracis-19035	316	53	,	,	PUNCT
bracis-19035	316	54	recife	recife	PROPN
bracis-19035	316	55	,	,	PUNCT
bracis-19035	316	56	brazil	brazil	PROPN
bracis-19035	316	57	jonathan	jonathan	PROPN
bracis-19035	316	58	h.	h.	PROPN
bracis-19035	316	59	a.	a.	PROPN
bracis-19035	316	60	de	de	PROPN
bracis-19035	316	61	carvalho	carvalho	PROPN
bracis-19035	316	62	authors	author	NOUN
bracis-19035	316	63	luciano	luciano	PROPN
bracis-19035	316	64	s.	s.	PROPN
bracis-19035	316	65	de	de	PROPN
bracis-19035	316	66	souzaview	souzaview	PROPN
bracis-19035	316	67	author	author	NOUN
bracis-19035	316	68	publications	publication	NOUN
bracis-19035	316	69	search	search	NOUN
bracis-19035	316	70	author	author	NOUN
bracis-19035	316	71	on	on	ADP
bracis-19035	316	72	:	:	PUNCT
bracis-19035	316	73	pubmed	pubmed	PROPN
bracis-19035	316	74	 	 	SPACE
bracis-19035	316	75	google	google	PROPN
bracis-19035	316	76	scholar	scholar	PROPN
bracis-19035	316	77	jonathan	jonathan	PROPN
bracis-19035	316	78	h.	h.	PROPN
bracis-19035	316	79	a.	a.	PROPN
bracis-19035	316	80	de	de	PROPN
bracis-19035	316	81	carvalhoview	carvalhoview	PROPN
bracis-19035	316	82	author	author	NOUN
bracis-19035	316	83	publications	publication	NOUN
bracis-19035	316	84	search	search	NOUN
bracis-19035	316	85	author	author	NOUN
bracis-19035	316	86	on	on	ADP
bracis-19035	316	87	:	:	PUNCT
bracis-19035	316	88	pubmed	pubmed	PROPN
bracis-19035	316	89	 	 	SPACE
bracis-19035	316	90	google	google	PROPN
bracis-19035	316	91	scholar	scholar	PROPN
bracis-19035	316	92	tiago	tiago	PROPN
bracis-19035	316	93	a.	a.	PROPN
bracis-19035	316	94	e.	e.	PROPN
bracis-19035	316	95	ferreiraview	ferreiraview	PROPN
bracis-19035	316	96	author	author	NOUN
bracis-19035	316	97	publications	publication	NOUN
bracis-19035	316	98	search	search	NOUN
bracis-19035	316	99	author	author	NOUN
bracis-19035	316	100	on	on	ADP
bracis-19035	316	101	:	:	PUNCT
bracis-19035	316	102	pubmed	pubmed	PROPN
bracis-19035	316	103	 	 	SPACE
bracis-19035	316	104	google	google	PROPN
bracis-19035	316	105	scholar	scholar	NOUN
bracis-19035	316	106	corresponding	correspond	VERB
bracis-19035	316	107	author	author	NOUN
bracis-19035	316	108	correspondence	correspondence	NOUN
bracis-19035	316	109	to	to	ADP
bracis-19035	316	110	luciano	luciano	PROPN
bracis-19035	316	111	s.	s.	PROPN
bracis-19035	316	112	de	de	PROPN
bracis-19035	316	113	souza	souza	PROPN
bracis-19035	316	114	.	.	PUNCT
bracis-19035	317	1	editor	editor	NOUN
bracis-19035	317	2	information	information	NOUN
bracis-19035	317	3	editors	editor	NOUN
bracis-19035	317	4	and	and	CCONJ
bracis-19035	317	5	affiliations	affiliation	NOUN
bracis-19035	317	6	universidade	universidade	PROPN
bracis-19035	317	7	federal	federal	PROPN
bracis-19035	317	8	de	de	X
bracis-19035	317	9	sergipe	sergipe	PROPN
bracis-19035	317	10	,	,	PUNCT
bracis-19035	317	11	são	são	NOUN
bracis-19035	317	12	cristóvão	cristóvão	PROPN
bracis-19035	317	13	,	,	PUNCT
bracis-19035	317	14	brazil	brazil	PROPN
bracis-19035	317	15	andré	andré	PROPN
bracis-19035	317	16	britto	britto	PROPN
bracis-19035	317	17	universidade	universidade	PROPN
bracis-19035	317	18	de	de	PROPN
bracis-19035	317	19	são	são	PROPN
bracis-19035	317	20	paulo	paulo	PROPN
bracis-19035	317	21	,	,	PUNCT
bracis-19035	317	22	são	são	PROPN
bracis-19035	317	23	paulo	paulo	PROPN
bracis-19035	317	24	,	,	PUNCT
bracis-19035	317	25	brazil	brazil	PROPN
bracis-19035	317	26	karina	karina	PROPN
bracis-19035	317	27	valdivia	valdivia	PROPN
bracis-19035	317	28	delgado	delgado	VERB
bracis-19035	317	29	rights	right	NOUN
bracis-19035	317	30	and	and	CCONJ
bracis-19035	317	31	permissions	permission	NOUN
bracis-19035	317	32	reprints	reprint	NOUN
bracis-19035	317	33	and	and	CCONJ
bracis-19035	317	34	permissions	permission	VERB
bracis-19035	317	35	copyright	copyright	NOUN
bracis-19035	317	36	information	information	NOUN
bracis-19035	317	37	©	©	PROPN
bracis-19035	317	38	2021	2021	NUM
bracis-19035	317	39	springer	springer	NOUN
bracis-19035	317	40	nature	nature	NOUN
bracis-19035	317	41	switzerland	switzerland	PROPN
bracis-19035	317	42	ag	ag	PROPN
bracis-19035	317	43	about	about	ADP
bracis-19035	317	44	this	this	DET
bracis-19035	317	45	paper	paper	NOUN
bracis-19035	317	46	cite	cite	VERB
bracis-19035	317	47	this	this	DET
bracis-19035	317	48	paper	paper	NOUN
bracis-19035	317	49	de	de	ADP
bracis-19035	317	50	souza	souza	PROPN
bracis-19035	317	51	,	,	PUNCT
bracis-19035	317	52	l.s	l.s	PROPN
bracis-19035	317	53	.	.	PROPN
bracis-19035	317	54	,	,	PUNCT
bracis-19035	317	55	de	de	X
bracis-19035	317	56	carvalho	carvalho	NOUN
bracis-19035	317	57	,	,	PUNCT
bracis-19035	317	58	j.h.a	j.h.a	NOUN
bracis-19035	317	59	.	.	PROPN
bracis-19035	317	60	,	,	PUNCT
bracis-19035	317	61	ferreira	ferreira	PROPN
bracis-19035	317	62	,	,	PUNCT
bracis-19035	317	63	t.a.e	t.a.e	PROPN
bracis-19035	317	64	.	.	PUNCT
bracis-19035	318	1	(	(	PUNCT
bracis-19035	318	2	2021	2021	NUM
bracis-19035	318	3	)	)	PUNCT
bracis-19035	318	4	.	.	PUNCT
bracis-19035	319	1	lackadaisical	lackadaisical	ADJ
bracis-19035	319	2	quantum	quantum	ADJ
bracis-19035	319	3	walk	walk	NOUN
bracis-19035	319	4	in	in	ADP
bracis-19035	319	5	the	the	DET
bracis-19035	319	6	hypercube	hypercube	NOUN
bracis-19035	319	7	to	to	PART
bracis-19035	319	8	search	search	VERB
bracis-19035	319	9	for	for	ADP
bracis-19035	319	10	multiple	multiple	ADJ
bracis-19035	319	11	marked	mark	VERB
bracis-19035	319	12	vertices	vertex	NOUN
bracis-19035	319	13	.	.	PUNCT
bracis-19035	320	1	in	in	ADP
bracis-19035	320	2	:	:	PUNCT
bracis-19035	320	3	britto	britto	PROPN
bracis-19035	320	4	,	,	PUNCT
bracis-19035	320	5	a.	a.	PROPN
bracis-19035	320	6	,	,	PUNCT
bracis-19035	320	7	valdivia	valdivia	PROPN
bracis-19035	320	8	delgado	delgado	PROPN
bracis-19035	320	9	,	,	PUNCT
bracis-19035	320	10	k.	k.	PROPN
bracis-19035	320	11	(	(	PUNCT
bracis-19035	320	12	eds	eds	PROPN
bracis-19035	320	13	)	)	PUNCT
bracis-19035	320	14	intelligent	intelligent	ADJ
bracis-19035	320	15	systems	system	NOUN
bracis-19035	320	16	.	.	PUNCT
bracis-19035	321	1	bracis	bracis	PROPN
bracis-19035	321	2	2021	2021	NUM
bracis-19035	321	3	.	.	PUNCT
bracis-19035	322	1	lecture	lecture	NOUN
bracis-19035	322	2	notes	note	NOUN
bracis-19035	322	3	in	in	ADP
bracis-19035	322	4	computer	computer	NOUN
bracis-19035	322	5	science	science	NOUN
bracis-19035	322	6	(	(	PUNCT
bracis-19035	322	7	)	)	PUNCT
bracis-19035	322	8	,	,	PUNCT
bracis-19035	322	9	vol	vol	NOUN
bracis-19035	322	10	13073	13073	NUM
bracis-19035	322	11	.	.	PUNCT
bracis-19035	323	1	springer	springer	NOUN
bracis-19035	323	2	,	,	PUNCT
bracis-19035	323	3	cham	cham	PROPN
bracis-19035	323	4	.	.	PUNCT
bracis-19035	324	1	https://doi.org/10.1007/978-3-030-91702-9_17	https://doi.org/10.1007/978-3-030-91702-9_17	NOUN
bracis-19035	324	2	download	download	NOUN
bracis-19035	324	3	citation	citation	NOUN
bracis-19035	324	4	.ris	.ris	PUNCT
bracis-19035	324	5	.enw	.enw	PROPN
bracis-19035	324	6	.bib	.bib	PUNCT
bracis-19035	325	1	doi	doi	PROPN
bracis-19035	325	2	:	:	PUNCT
bracis-19035	325	3	https://doi.org/10.1007/978-3-030-91702-9_17	https://doi.org/10.1007/978-3-030-91702-9_17	PUNCT
bracis-19035	325	4	published	publish	VERB
bracis-19035	325	5	:	:	PUNCT
bracis-19035	325	6	28	28	NUM
bracis-19035	325	7	november	november	PROPN
bracis-19035	325	8	2021	2021	NUM
bracis-19035	325	9	publisher	publisher	NOUN
bracis-19035	325	10	name	name	NOUN
bracis-19035	325	11	:	:	PUNCT
bracis-19035	325	12	springer	springer	NOUN
bracis-19035	325	13	,	,	PUNCT
bracis-19035	325	14	cham	cham	PROPN
bracis-19035	325	15	print	print	PROPN
bracis-19035	325	16	isbn	isbn	PROPN
bracis-19035	325	17	:	:	PUNCT
bracis-19035	325	18	978	978	NUM
bracis-19035	325	19	-	-	SYM
bracis-19035	325	20	3	3	NUM
bracis-19035	325	21	-	-	PUNCT
bracis-19035	325	22	030	030	NUM
bracis-19035	325	23	-	-	PUNCT
bracis-19035	325	24	91701	91701	NUM
bracis-19035	325	25	-	-	SYM
bracis-19035	325	26	2	2	NUM
bracis-19035	325	27	online	online	ADJ
bracis-19035	325	28	isbn	isbn	NOUN
bracis-19035	325	29	:	:	PUNCT
bracis-19035	325	30	978	978	NUM
bracis-19035	325	31	-	-	SYM
bracis-19035	325	32	3	3	NUM
bracis-19035	325	33	-	-	PUNCT
bracis-19035	325	34	030	030	NUM
bracis-19035	325	35	-	-	PUNCT
bracis-19035	325	36	91702	91702	NUM
bracis-19035	325	37	-	-	SYM
bracis-19035	325	38	9	9	NUM
bracis-19035	325	39	ebook	ebook	NOUN
bracis-19035	325	40	packages	package	NOUN
bracis-19035	325	41	:	:	PUNCT
bracis-19035	325	42	computer	computer	NOUN
bracis-19035	325	43	sciencecomputer	sciencecomputer	NOUN
bracis-19035	325	44	science	science	NOUN
bracis-19035	325	45	(	(	PUNCT
bracis-19035	325	46	r0	r0	NOUN
bracis-19035	325	47	)	)	PUNCT
bracis-19035	325	48	share	share	VERB
bracis-19035	325	49	this	this	DET
bracis-19035	325	50	paper	paper	NOUN
bracis-19035	325	51	anyone	anyone	PRON
bracis-19035	325	52	you	you	PRON
bracis-19035	325	53	share	share	VERB
bracis-19035	325	54	the	the	DET
bracis-19035	325	55	following	follow	VERB
bracis-19035	325	56	link	link	NOUN
bracis-19035	325	57	with	with	ADP
bracis-19035	325	58	will	will	AUX
bracis-19035	325	59	be	be	AUX
bracis-19035	325	60	able	able	ADJ
bracis-19035	325	61	to	to	PART
bracis-19035	325	62	read	read	VERB
bracis-19035	325	63	this	this	DET
bracis-19035	325	64	content	content	NOUN
bracis-19035	325	65	:	:	PUNCT
bracis-19035	325	66	get	get	VERB
bracis-19035	325	67	shareable	shareable	ADJ
bracis-19035	325	68	linksorry	linksorry	NOUN
bracis-19035	325	69	,	,	PUNCT
bracis-19035	325	70	a	a	DET
bracis-19035	325	71	shareable	shareable	ADJ
bracis-19035	325	72	link	link	NOUN
bracis-19035	325	73	is	be	AUX
bracis-19035	325	74	not	not	PART
bracis-19035	325	75	currently	currently	ADV
bracis-19035	325	76	available	available	ADJ
bracis-19035	325	77	for	for	ADP
bracis-19035	325	78	this	this	DET
bracis-19035	325	79	article	article	NOUN
bracis-19035	325	80	.	.	PUNCT
bracis-19035	326	1	copy	copy	VERB
bracis-19035	326	2	shareable	shareable	ADJ
bracis-19035	326	3	link	link	NOUN
bracis-19035	326	4	to	to	PART
bracis-19035	326	5	clipboard	clipboard	NOUN
bracis-19035	326	6	provided	provide	VERB
bracis-19035	326	7	by	by	ADP
bracis-19035	326	8	the	the	DET
bracis-19035	326	9	springer	springer	NOUN
bracis-19035	326	10	nature	nature	PROPN
bracis-19035	326	11	sharedit	sharedit	PROPN
bracis-19035	326	12	content	content	NOUN
bracis-19035	326	13	-	-	PUNCT
bracis-19035	326	14	sharing	share	VERB
bracis-19035	326	15	initiative	initiative	NOUN
bracis-19035	326	16	keywords	keyword	VERB
bracis-19035	326	17	quantum	quantum	ADJ
bracis-19035	326	18	computing	compute	VERB
bracis-19035	326	19	quantum	quantum	NOUN
bracis-19035	326	20	walk	walk	NOUN
bracis-19035	326	21	quantum	quantum	NOUN
bracis-19035	326	22	search	search	NOUN
bracis-19035	326	23	algorithm	algorithm	NOUN
bracis-19035	326	24	publish	publish	VERB
bracis-19035	326	25	with	with	ADP
bracis-19035	326	26	us	us	PROPN
bracis-19035	326	27	policies	policy	NOUN
bracis-19035	326	28	and	and	CCONJ
bracis-19035	326	29	ethics	ethic	NOUN
bracis-19035	326	30	search	search	NOUN
bracis-19035	326	31	search	search	NOUN
bracis-19035	326	32	by	by	ADP
bracis-19035	326	33	keyword	keyword	NOUN
bracis-19035	326	34	or	or	CCONJ
bracis-19035	326	35	author	author	NOUN
bracis-19035	326	36	search	search	NOUN
bracis-19035	326	37	navigation	navigation	NOUN
bracis-19035	326	38	find	find	VERB
bracis-19035	326	39	a	a	DET
bracis-19035	326	40	journal	journal	NOUN
bracis-19035	326	41	publish	publish	VERB
bracis-19035	326	42	with	with	ADP
bracis-19035	326	43	us	we	PRON
bracis-19035	326	44	track	track	VERB
bracis-19035	326	45	your	your	PRON
bracis-19035	326	46	research	research	NOUN
bracis-19035	326	47	discover	discover	VERB
bracis-19035	326	48	content	content	NOUN
bracis-19035	326	49	journals	journal	NOUN
bracis-19035	326	50	a	a	DET
bracis-19035	326	51	-	-	PUNCT
bracis-19035	326	52	z	z	NOUN
bracis-19035	326	53	books	book	NOUN
bracis-19035	326	54	a	a	DET
bracis-19035	326	55	-	-	PUNCT
bracis-19035	326	56	z	z	NOUN
bracis-19035	326	57	publish	publish	NOUN
bracis-19035	326	58	with	with	ADP
bracis-19035	326	59	us	us	PROPN
bracis-19035	326	60	journal	journal	PROPN
bracis-19035	326	61	finder	finder	PROPN
bracis-19035	326	62	publish	publish	VERB
bracis-19035	326	63	your	your	PRON
bracis-19035	326	64	research	research	NOUN
bracis-19035	326	65	language	language	NOUN
bracis-19035	326	66	editing	edit	VERB
bracis-19035	326	67	open	open	ADJ
bracis-19035	326	68	access	access	NOUN
bracis-19035	326	69	publishing	publishing	NOUN
bracis-19035	326	70	products	product	NOUN
bracis-19035	326	71	and	and	CCONJ
bracis-19035	326	72	services	service	NOUN
bracis-19035	326	73	our	our	PRON
bracis-19035	326	74	products	product	NOUN
bracis-19035	326	75	librarians	librarian	VERB
bracis-19035	326	76	societies	society	NOUN
bracis-19035	326	77	partners	partner	NOUN
bracis-19035	326	78	and	and	CCONJ
bracis-19035	326	79	advertisers	advertiser	NOUN
bracis-19035	326	80	our	our	PRON
bracis-19035	326	81	brands	brand	NOUN
bracis-19035	326	82	springer	springer	NOUN
bracis-19035	326	83	nature	nature	PROPN
bracis-19035	326	84	portfolio	portfolio	PROPN
bracis-19035	326	85	bmc	bmc	PROPN
bracis-19035	326	86	palgrave	palgrave	PROPN
bracis-19035	326	87	macmillan	macmillan	PROPN
bracis-19035	326	88	apress	apress	PROPN
bracis-19035	326	89	discover	discover	VERB
bracis-19035	326	90	your	your	PRON
bracis-19035	326	91	privacy	privacy	NOUN
bracis-19035	326	92	choices	choice	NOUN
bracis-19035	326	93	/	/	SYM
bracis-19035	326	94	manage	manage	NOUN
bracis-19035	326	95	cookies	cookie	NOUN
bracis-19035	326	96	your	your	PRON
bracis-19035	326	97	us	us	PROPN
bracis-19035	327	1	state	state	NOUN
bracis-19035	327	2	privacy	privacy	NOUN
bracis-19035	327	3	rights	right	NOUN
bracis-19035	327	4	accessibility	accessibility	NOUN
bracis-19035	327	5	statement	statement	NOUN
bracis-19035	327	6	terms	term	NOUN
bracis-19035	327	7	and	and	CCONJ
bracis-19035	327	8	conditions	condition	NOUN
bracis-19035	327	9	privacy	privacy	NOUN
bracis-19035	327	10	policy	policy	NOUN
bracis-19035	327	11	help	help	NOUN
bracis-19035	327	12	and	and	CCONJ
bracis-19035	327	13	support	support	VERB
bracis-19035	327	14	legal	legal	ADJ
bracis-19035	327	15	notice	notice	NOUN
bracis-19035	327	16	cancel	cancel	VERB
bracis-19035	327	17	contracts	contract	NOUN
bracis-19035	327	18	here	here	ADV
bracis-19035	327	19	129.74.145.123	129.74.145.123	NUM
bracis-19035	327	20	hesburgh	hesburgh	PROPN
bracis-19035	327	21	library	library	PROPN
bracis-19035	327	22	er	er	INTJ
bracis-19035	327	23	unit	unit	NOUN
bracis-19035	327	24	(	(	PUNCT
bracis-19035	327	25	3005732405	3005732405	NUM
bracis-19035	327	26	)	)	PUNCT
bracis-19035	327	27	northeast	northeast	ADJ
bracis-19035	327	28	research	research	NOUN
bracis-19035	327	29	libraries	library	NOUN
bracis-19035	327	30	(	(	PUNCT
bracis-19035	327	31	nerl	nerl	PROPN
bracis-19035	327	32	)	)	PUNCT
bracis-19035	327	33	(	(	PUNCT
bracis-19035	327	34	8200828607	8200828607	NUM
bracis-19035	327	35	)	)	PUNCT
bracis-19035	327	36	nerl	nerl	VERB
bracis-19035	327	37	ta	ta	X
bracis-19035	327	38	account	account	NOUN
bracis-19035	327	39	(	(	PUNCT
bracis-19035	327	40	3006206169	3006206169	NUM
bracis-19035	327	41	)	)	PUNCT
bracis-19035	327	42	university	university	NOUN
bracis-19035	327	43	of	of	ADP
bracis-19035	327	44	notre	notre	PROPN
bracis-19035	327	45	dame	dame	PROPN
bracis-19035	327	46	hesburgh	hesburgh	PROPN
bracis-19035	327	47	library	library	NOUN
bracis-19035	327	48	(	(	PUNCT
bracis-19035	327	49	3000184373	3000184373	NUM
bracis-19035	327	50	)	)	PUNCT
bracis-19035	328	1	©	©	ADP
bracis-19035	328	2	2025	2025	NUM
bracis-19035	328	3	springer	springer	NOUN
bracis-19035	328	4	nature	nature	NOUN