id	sid	tid	token	lemma	pos
ap-1055	1	1	ap08_5.vp	ap08_5.vp	NOUN
ap-1055	1	2	1	1	NUM
ap-1055	1	3	introduction	introduction	NOUN
ap-1055	1	4	the	the	DET
ap-1055	1	5	problem	problem	NOUN
ap-1055	1	6	of	of	ADP
ap-1055	1	7	complex	complex	ADJ
ap-1055	1	8	probability	probability	NOUN
ap-1055	1	9	functions	function	NOUN
ap-1055	1	10	is	be	AUX
ap-1055	1	11	gaining	gain	VERB
ap-1055	1	12	in	in	ADP
ap-1055	1	13	importance	importance	NOUN
ap-1055	1	14	in	in	ADP
ap-1055	1	15	quantum	quantum	ADJ
ap-1055	1	16	mechanics	mechanic	NOUN
ap-1055	1	17	[	[	X
ap-1055	1	18	1	1	NUM
ap-1055	1	19	,	,	PUNCT
ap-1055	1	20	9	9	NUM
ap-1055	1	21	]	]	PUNCT
ap-1055	1	22	,	,	PUNCT
ap-1055	1	23	where	where	SCONJ
ap-1055	1	24	the	the	DET
ap-1055	1	25	phase	phase	NOUN
ap-1055	1	26	functions	function	NOUN
ap-1055	1	27	has	have	AUX
ap-1055	1	28	been	be	AUX
ap-1055	1	29	recognized	recognize	VERB
ap-1055	1	30	as	as	ADP
ap-1055	1	31	necessary	necessary	ADJ
ap-1055	1	32	for	for	ADP
ap-1055	1	33	information	information	NOUN
ap-1055	1	34	processing	processing	NOUN
ap-1055	1	35	and	and	CCONJ
ap-1055	1	36	quantum	quantum	NOUN
ap-1055	1	37	system	system	NOUN
ap-1055	1	38	modeling	modeling	NOUN
ap-1055	1	39	.	.	PUNCT
ap-1055	2	1	the	the	DET
ap-1055	2	2	contextual	contextual	ADJ
ap-1055	2	3	interpretation	interpretation	NOUN
ap-1055	2	4	of	of	ADP
ap-1055	2	5	phase	phase	NOUN
ap-1055	2	6	functions	function	NOUN
ap-1055	2	7	was	be	AUX
ap-1055	2	8	presented	present	VERB
ap-1055	2	9	in	in	ADP
ap-1055	2	10	[	[	X
ap-1055	2	11	7	7	NUM
ap-1055	2	12	]	]	PUNCT
ap-1055	2	13	,	,	PUNCT
ap-1055	2	14	and	and	CCONJ
ap-1055	2	15	the	the	DET
ap-1055	2	16	wave	wave	NOUN
ap-1055	2	17	probabilistic	probabilistic	ADJ
ap-1055	2	18	models	model	NOUN
ap-1055	2	19	were	be	AUX
ap-1055	2	20	introduced	introduce	VERB
ap-1055	2	21	as	as	ADP
ap-1055	2	22	necessary	necessary	ADJ
ap-1055	2	23	part	part	NOUN
ap-1055	2	24	of	of	ADP
ap-1055	2	25	probabilistic	probabilistic	ADJ
ap-1055	2	26	multi	multi	NOUN
ap-1055	2	27	-	-	NOUN
ap-1055	2	28	models	model	NOUN
ap-1055	2	29	.	.	PUNCT
ap-1055	3	1	a	a	DET
ap-1055	3	2	more	more	ADV
ap-1055	3	3	rigorous	rigorous	ADJ
ap-1055	3	4	introduction	introduction	NOUN
ap-1055	3	5	to	to	PART
ap-1055	3	6	wave	wave	VERB
ap-1055	3	7	probabilistic	probabilistic	ADJ
ap-1055	3	8	models	model	NOUN
ap-1055	3	9	was	be	AUX
ap-1055	3	10	presented	present	VERB
ap-1055	3	11	in	in	ADP
ap-1055	3	12	[	[	X
ap-1055	3	13	14	14	NUM
ap-1055	3	14	]	]	SYM
ap-1055	3	15	,	,	PUNCT
ap-1055	3	16	where	where	SCONJ
ap-1055	3	17	phase	phase	NOUN
ap-1055	3	18	parameters	parameter	NOUN
ap-1055	3	19	are	be	AUX
ap-1055	3	20	interpreted	interpret	VERB
ap-1055	3	21	as	as	ADP
ap-1055	3	22	dependency	dependency	NOUN
ap-1055	3	23	functions	function	NOUN
ap-1055	3	24	between	between	ADP
ap-1055	3	25	events	event	NOUN
ap-1055	3	26	.	.	PUNCT
ap-1055	4	1	the	the	DET
ap-1055	4	2	link	link	NOUN
ap-1055	4	3	between	between	ADP
ap-1055	4	4	wave	wave	NOUN
ap-1055	4	5	probabilistic	probabilistic	ADJ
ap-1055	4	6	functions	function	NOUN
ap-1055	4	7	and	and	CCONJ
ap-1055	4	8	the	the	DET
ap-1055	4	9	complementarity	complementarity	NOUN
ap-1055	4	10	principle	principle	NOUN
ap-1055	4	11	was	be	AUX
ap-1055	4	12	first	first	ADV
ap-1055	4	13	introduced	introduce	VERB
ap-1055	4	14	in	in	ADP
ap-1055	4	15	[	[	X
ap-1055	4	16	10	10	NUM
ap-1055	4	17	]	]	PUNCT
ap-1055	4	18	.	.	PUNCT
ap-1055	5	1	the	the	DET
ap-1055	5	2	quantization	quantization	NOUN
ap-1055	5	3	principle	principle	NOUN
ap-1055	5	4	as	as	SCONJ
ap-1055	5	5	the	the	DET
ap-1055	5	6	consequence	consequence	NOUN
ap-1055	5	7	of	of	ADP
ap-1055	5	8	phase	phase	NOUN
ap-1055	5	9	parameters	parameter	NOUN
ap-1055	5	10	was	be	AUX
ap-1055	5	11	defined	define	VERB
ap-1055	5	12	in	in	ADP
ap-1055	5	13	[	[	X
ap-1055	5	14	6	6	NUM
ap-1055	5	15	]	]	PUNCT
ap-1055	5	16	.	.	PUNCT
ap-1055	6	1	the	the	DET
ap-1055	6	2	goal	goal	NOUN
ap-1055	6	3	of	of	ADP
ap-1055	6	4	this	this	DET
ap-1055	6	5	paper	paper	NOUN
ap-1055	6	6	is	be	AUX
ap-1055	6	7	to	to	PART
ap-1055	6	8	continue	continue	VERB
ap-1055	6	9	in	in	ADP
ap-1055	6	10	this	this	DET
ap-1055	6	11	way	way	NOUN
ap-1055	6	12	of	of	ADP
ap-1055	6	13	thinking	thinking	NOUN
ap-1055	6	14	and	and	CCONJ
ap-1055	6	15	to	to	PART
ap-1055	6	16	provide	provide	VERB
ap-1055	6	17	a	a	DET
ap-1055	6	18	more	more	ADV
ap-1055	6	19	rigorous	rigorous	ADJ
ap-1055	6	20	definition	definition	NOUN
ap-1055	6	21	of	of	ADP
ap-1055	6	22	wave	wave	NOUN
ap-1055	6	23	probabilistic	probabilistic	ADJ
ap-1055	6	24	models	model	NOUN
ap-1055	6	25	together	together	ADV
ap-1055	6	26	with	with	ADP
ap-1055	6	27	their	their	PRON
ap-1055	6	28	basic	basic	ADJ
ap-1055	6	29	features	feature	NOUN
ap-1055	6	30	.	.	PUNCT
ap-1055	7	1	chapter	chapter	NOUN
ap-1055	7	2	2	2	NUM
ap-1055	7	3	presents	present	VERB
ap-1055	7	4	the	the	DET
ap-1055	7	5	mathematical	mathematical	ADJ
ap-1055	7	6	theory	theory	NOUN
ap-1055	7	7	of	of	ADP
ap-1055	7	8	wave	wave	NOUN
ap-1055	7	9	functions	function	NOUN
ap-1055	7	10	,	,	PUNCT
ap-1055	7	11	together	together	ADV
ap-1055	7	12	with	with	ADP
ap-1055	7	13	their	their	PRON
ap-1055	7	14	geometric	geometric	ADJ
ap-1055	7	15	interpretation	interpretation	NOUN
ap-1055	7	16	.	.	PUNCT
ap-1055	8	1	chapter	chapter	NOUN
ap-1055	8	2	3	3	NUM
ap-1055	8	3	covers	cover	VERB
ap-1055	8	4	the	the	DET
ap-1055	8	5	link	link	NOUN
ap-1055	8	6	between	between	ADP
ap-1055	8	7	wave	wave	NOUN
ap-1055	8	8	probabilities	probability	NOUN
ap-1055	8	9	and	and	CCONJ
ap-1055	8	10	entanglement	entanglement	NOUN
ap-1055	8	11	.	.	PUNCT
ap-1055	9	1	chapter	chapter	NOUN
ap-1055	9	2	4	4	NUM
ap-1055	9	3	describes	describe	VERB
ap-1055	9	4	the	the	DET
ap-1055	9	5	general	general	ADJ
ap-1055	9	6	estimation	estimation	NOUN
ap-1055	9	7	algorithm	algorithm	NOUN
ap-1055	9	8	of	of	ADP
ap-1055	9	9	wave	wave	NOUN
ap-1055	9	10	probabilities	probability	NOUN
ap-1055	9	11	.	.	PUNCT
ap-1055	10	1	chapter	chapter	NOUN
ap-1055	10	2	5	5	NUM
ap-1055	10	3	presents	present	VERB
ap-1055	10	4	the	the	DET
ap-1055	10	5	methodology	methodology	NOUN
ap-1055	10	6	for	for	ADP
ap-1055	10	7	modeling	model	VERB
ap-1055	10	8	non	non	ADJ
ap-1055	10	9	-	-	ADJ
ap-1055	10	10	ergodic	ergodic	ADJ
ap-1055	10	11	binary	binary	ADJ
ap-1055	10	12	time	time	NOUN
ap-1055	10	13	series	series	PROPN
ap-1055	10	14	.	.	PUNCT
ap-1055	11	1	chapter	chapter	NOUN
ap-1055	11	2	6	6	NUM
ap-1055	11	3	offers	offer	VERB
ap-1055	11	4	an	an	DET
ap-1055	11	5	illustrative	illustrative	ADJ
ap-1055	11	6	example	example	NOUN
ap-1055	11	7	of	of	ADP
ap-1055	11	8	binary	binary	ADJ
ap-1055	11	9	time	time	NOUN
ap-1055	11	10	series	series	NOUN
ap-1055	11	11	,	,	PUNCT
ap-1055	11	12	and	and	CCONJ
ap-1055	11	13	chapter	chapter	NOUN
ap-1055	11	14	7	7	NUM
ap-1055	11	15	concludes	conclude	VERB
ap-1055	11	16	the	the	DET
ap-1055	11	17	paper	paper	NOUN
ap-1055	11	18	.	.	PUNCT
ap-1055	12	1	2	2	NUM
ap-1055	12	2	mathematical	mathematical	ADJ
ap-1055	12	3	theory	theory	NOUN
ap-1055	12	4	of	of	ADP
ap-1055	12	5	wave	wave	NOUN
ap-1055	12	6	probabilistic	probabilistic	ADJ
ap-1055	12	7	functions	function	NOUN
ap-1055	12	8	a	a	DET
ap-1055	12	9	probability	probability	NOUN
ap-1055	12	10	space	space	NOUN
ap-1055	12	11	consists	consist	VERB
ap-1055	12	12	of	of	ADP
ap-1055	12	13	a	a	DET
ap-1055	12	14	sample	sample	NOUN
ap-1055	12	15	space	space	NOUN
ap-1055	12	16	s	s	NOUN
ap-1055	12	17	and	and	CCONJ
ap-1055	12	18	a	a	DET
ap-1055	12	19	probability	probability	NOUN
ap-1055	12	20	function	function	NOUN
ap-1055	12	21	p	p	X
ap-1055	12	22	(	(	PUNCT
ap-1055	12	23	.	.	PUNCT
ap-1055	12	24	)	)	PUNCT
ap-1055	12	25	,	,	PUNCT
ap-1055	12	26	mapping	map	VERB
ap-1055	12	27	the	the	DET
ap-1055	12	28	events	event	NOUN
ap-1055	12	29	of	of	ADP
ap-1055	12	30	s	s	PRON
ap-1055	12	31	to	to	ADP
ap-1055	12	32	real	real	ADJ
ap-1055	12	33	numbers	number	NOUN
ap-1055	12	34	in	in	ADP
ap-1055	12	35	[	[	X
ap-1055	12	36	0,1	0,1	NUM
ap-1055	12	37	]	]	PUNCT
ap-1055	12	38	,	,	PUNCT
ap-1055	12	39	such	such	ADJ
ap-1055	12	40	that	that	DET
ap-1055	12	41	p(s	p(s	NOUN
ap-1055	12	42	)	)	PUNCT
ap-1055	12	43	�	�	PROPN
ap-1055	12	44	1	1	NUM
ap-1055	12	45	,	,	PUNCT
ap-1055	12	46	and	and	CCONJ
ap-1055	12	47	if	if	SCONJ
ap-1055	12	48	a1	a1	PROPN
ap-1055	12	49	,	,	PUNCT
ap-1055	12	50	a2	a2	PROPN
ap-1055	12	51	,	,	PUNCT
ap-1055	12	52	…	…	PUNCT
ap-1055	12	53	is	be	AUX
ap-1055	12	54	a	a	DET
ap-1055	12	55	sequence	sequence	NOUN
ap-1055	12	56	of	of	ADP
ap-1055	12	57	disjoint	disjoint	ADJ
ap-1055	12	58	events	event	NOUN
ap-1055	12	59	,	,	PUNCT
ap-1055	12	60	then	then	ADV
ap-1055	12	61	the	the	DET
ap-1055	12	62	sum	sum	NOUN
ap-1055	12	63	rule	rule	NOUN
ap-1055	12	64	is	be	AUX
ap-1055	12	65	fulfilled	fulfil	VERB
ap-1055	12	66	:	:	PUNCT
ap-1055	12	67	p	p	X
ap-1055	12	68	a	a	DET
ap-1055	12	69	p(ai	p(ai	PROPN
ap-1055	12	70	i	i	PRON
ap-1055	13	1	n	n	NOUN
ap-1055	14	1	i	i	PRON
ap-1055	14	2	i	i	PROPN
ap-1055	14	3	n	n	CCONJ
ap-1055	14	4	�	�	PROPN
ap-1055	14	5	�	�	PROPN
ap-1055	14	6	�	�	PROPN
ap-1055	14	7	�	�	PROPN
ap-1055	14	8	�	�	PROPN
ap-1055	14	9	�	�	PROPN
ap-1055	14	10	�	�	PROPN
ap-1055	14	11	�	�	PROPN
ap-1055	14	12	�	�	PROPN
ap-1055	14	13	�	�	PROPN
ap-1055	14	14	)	)	PUNCT
ap-1055	14	15	.	.	PUNCT
ap-1055	15	1	(	(	PUNCT
ap-1055	15	2	1	1	X
ap-1055	15	3	)	)	PUNCT
ap-1055	15	4	if	if	SCONJ
ap-1055	15	5	the	the	DET
ap-1055	15	6	events	event	NOUN
ap-1055	15	7	a1	a1	NOUN
ap-1055	15	8	,	,	PUNCT
ap-1055	15	9	a2	a2	PROPN
ap-1055	15	10	,	,	PUNCT
ap-1055	15	11	…	…	PUNCT
ap-1055	15	12	are	be	AUX
ap-1055	15	13	not	not	PART
ap-1055	15	14	disjoint	disjoint	VERB
ap-1055	15	15	the	the	DET
ap-1055	15	16	following	follow	VERB
ap-1055	15	17	(	(	PUNCT
ap-1055	15	18	product	product	NOUN
ap-1055	15	19	and	and	CCONJ
ap-1055	15	20	inclusion	inclusion	NOUN
ap-1055	15	21	-	-	PUNCT
ap-1055	15	22	exclusion	exclusion	NOUN
ap-1055	15	23	)	)	PUNCT
ap-1055	15	24	rules	rule	NOUN
ap-1055	15	25	can	can	AUX
ap-1055	15	26	be	be	AUX
ap-1055	15	27	defined	define	VERB
ap-1055	15	28	:	:	PUNCT
ap-1055	15	29	p(a	p(a	PROPN
ap-1055	15	30	a	a	PRON
ap-1055	15	31	a	a	DET
ap-1055	15	32	p(a	p(a	PROPN
ap-1055	15	33	p(a	p(a	PROPN
ap-1055	15	34	a	a	DET
ap-1055	15	35	p(a	p(a	PROPN
ap-1055	15	36	a	a	PRON
ap-1055	15	37	a	a	DET
ap-1055	15	38	p(a	p(a	PROPN
ap-1055	15	39	a	a	DET
ap-1055	15	40	a	a	DET
ap-1055	15	41	1	1	NUM
ap-1055	15	42	2	2	NUM
ap-1055	15	43	1	1	NUM
ap-1055	15	44	2	2	NUM
ap-1055	15	45	1	1	NUM
ap-1055	15	46	3	3	NUM
ap-1055	15	47	1	1	NUM
ap-1055	15	48	2	2	NUM
ap-1055	15	49	1	1	NUM
ap-1055	15	50	�	�	PROPN
ap-1055	15	51	�	�	PROPN
ap-1055	15	52	�	�	PROPN
ap-1055	15	53	�	�	PROPN
ap-1055	15	54	�	�	PROPN
ap-1055	15	55	�	�	PROPN
ap-1055	15	56	�	�	PROPN
ap-1055	15	57	�	�	PROPN
ap-1055	15	58	�	�	PROPN
ap-1055	15	59	�	�	PROPN
ap-1055	15	60	�	�	PROPN
ap-1055	15	61	�	�	PROPN
ap-1055	15	62	n	n	CCONJ
ap-1055	15	63	n	n	CCONJ
ap-1055	15	64	n	n	NUM
ap-1055	15	65	)	)	PUNCT
ap-1055	15	66	)	)	PUNCT
ap-1055	15	67	)	)	PUNCT
ap-1055	15	68	)	)	PUNCT
ap-1055	16	1	1	1	NUM
ap-1055	16	2	)	)	PUNCT
ap-1055	16	3	,	,	PUNCT
ap-1055	16	4	(	(	PUNCT
ap-1055	16	5	2	2	X
ap-1055	16	6	)	)	PUNCT
ap-1055	16	7	p(a	p(a	NOUN
ap-1055	16	8	a	a	PRON
ap-1055	16	9	a	a	DET
ap-1055	16	10	p(a	p(a	PROPN
ap-1055	16	11	p(a	p(a	PROPN
ap-1055	16	12	a	a	DET
ap-1055	16	13	p(a	p(a	PROPN
ap-1055	16	14	a	a	DET
ap-1055	16	15	a	a	DET
ap-1055	16	16	1	1	NUM
ap-1055	16	17	2	2	NUM
ap-1055	16	18	1	1	NUM
ap-1055	16	19	�	�	PROPN
ap-1055	16	20	�	�	PROPN
ap-1055	16	21	�	�	PROPN
ap-1055	16	22	�	�	PROPN
ap-1055	16	23	�	�	PROPN
ap-1055	16	24	�	�	PROPN
ap-1055	16	25	�	�	PROPN
ap-1055	16	26	�	�	PROPN
ap-1055	16	27	�	�	PROPN
ap-1055	16	28	�	�	PROPN
ap-1055	16	29	�	�	PROPN
ap-1055	17	1	n	n	CCONJ
ap-1055	17	2	i	i	PRON
ap-1055	18	1	i	i	PRON
ap-1055	19	1	n	n	VERB
ap-1055	20	1	i	i	PRON
ap-1055	20	2	j	j	VERB
ap-1055	21	1	i	i	PRON
ap-1055	21	2	j	j	PROPN
ap-1055	22	1	n	n	CCONJ
ap-1055	22	2	i	i	PRON
ap-1055	22	3	j	j	PROPN
ap-1055	22	4	k	k	PROPN
ap-1055	22	5	)	)	PUNCT
ap-1055	22	6	)	)	PUNCT
ap-1055	22	7	)	)	PUNCT
ap-1055	22	8	)	)	PUNCT
ap-1055	23	1	i	i	PRON
ap-1055	23	2	j	j	PROPN
ap-1055	24	1	k	k	PROPN
ap-1055	24	2	n	n	CCONJ
ap-1055	24	3	n	n	CCONJ
ap-1055	24	4	n	n	CCONJ
ap-1055	24	5	�	�	PROPN
ap-1055	24	6	�	�	PROPN
ap-1055	24	7	�	�	PROPN
ap-1055	24	8	�	�	PROPN
ap-1055	24	9	�	�	PROPN
ap-1055	24	10	�	�	PROPN
ap-1055	24	11	�	�	PROPN
ap-1055	24	12	�	�	PROPN
ap-1055	24	13	�	�	PROPN
ap-1055	24	14	�	�	PROPN
ap-1055	24	15	(	(	PUNCT
ap-1055	24	16	)	)	PUNCT
ap-1055	24	17	)	)	PUNCT
ap-1055	25	1	.1	.1	NUM
ap-1055	25	2	1	1	NUM
ap-1055	25	3	1	1	NUM
ap-1055	25	4	2p(a	2p(a	NUM
ap-1055	25	5	a	a	PRON
ap-1055	25	6	a	a	DET
ap-1055	25	7	(	(	PUNCT
ap-1055	25	8	3	3	NUM
ap-1055	25	9	)	)	PUNCT
ap-1055	25	10	taking	take	VERB
ap-1055	25	11	into	into	ADP
ap-1055	25	12	consideration	consideration	NOUN
ap-1055	25	13	the	the	DET
ap-1055	25	14	basic	basic	ADJ
ap-1055	25	15	laws	law	NOUN
ap-1055	25	16	of	of	ADP
ap-1055	25	17	probability	probability	NOUN
ap-1055	25	18	defined	define	VERB
ap-1055	25	19	above	above	ADV
ap-1055	25	20	,	,	PUNCT
ap-1055	25	21	we	we	PRON
ap-1055	25	22	can	can	AUX
ap-1055	25	23	rewrite	rewrite	VERB
ap-1055	25	24	them	they	PRON
ap-1055	25	25	with	with	ADP
ap-1055	25	26	the	the	DET
ap-1055	25	27	help	help	NOUN
ap-1055	25	28	of	of	ADP
ap-1055	25	29	the	the	DET
ap-1055	25	30	complex	complex	ADJ
ap-1055	25	31	representations	representation	NOUN
ap-1055	25	32	(	(	PUNCT
ap-1055	25	33	wave	wave	NOUN
ap-1055	25	34	functions	function	NOUN
ap-1055	25	35	)	)	PUNCT
ap-1055	25	36	summarized	summarize	VERB
ap-1055	25	37	in	in	ADP
ap-1055	25	38	theorem	theorem	ADJ
ap-1055	25	39	1	1	NUM
ap-1055	25	40	.	.	PUNCT
ap-1055	25	41	theorem	theorem	NOUN
ap-1055	25	42	1	1	NUM
ap-1055	25	43	:	:	PUNCT
ap-1055	25	44	let	let	VERB
ap-1055	25	45	us	we	PRON
ap-1055	25	46	define	define	VERB
ap-1055	25	47	n	n	DET
ap-1055	25	48	events	event	NOUN
ap-1055	25	49	ai	ai	VERB
ap-1055	25	50	,	,	PUNCT
ap-1055	25	51	i	i	PROPN
ap-1055	25	52	n	n	PRON
ap-1055	25	53	�	�	PROPN
ap-1055	25	54	{	{	PUNCT
ap-1055	25	55	,	,	PUNCT
ap-1055	25	56	,	,	PUNCT
ap-1055	25	57	,	,	PUNCT
ap-1055	25	58	}	}	PUNCT
ap-1055	25	59	1	1	NUM
ap-1055	25	60	2	2	NUM
ap-1055	25	61	�	�	NOUN
ap-1055	25	62	of	of	ADP
ap-1055	25	63	a	a	DET
ap-1055	25	64	sample	sample	NOUN
ap-1055	25	65	space	space	NOUN
ap-1055	25	66	s	s	PROPN
ap-1055	25	67	,	,	PUNCT
ap-1055	25	68	with	with	ADP
ap-1055	25	69	defined	define	VERB
ap-1055	25	70	probability	probability	NOUN
ap-1055	25	71	functions	function	NOUN
ap-1055	25	72	p	p	NOUN
ap-1055	25	73	a	a	X
ap-1055	25	74	(	(	PUNCT
ap-1055	25	75	)	)	PUNCT
ap-1055	25	76	i	i	PRON
ap-1055	25	77	,	,	PUNCT
ap-1055	25	78	i	i	PRON
ap-1055	25	79	n	n	CCONJ
ap-1055	25	80	�	�	PROPN
ap-1055	25	81	{	{	PUNCT
ap-1055	25	82	,	,	PUNCT
ap-1055	25	83	,	,	PUNCT
ap-1055	25	84	,	,	PUNCT
ap-1055	25	85	}	}	PUNCT
ap-1055	25	86	1	1	NUM
ap-1055	25	87	2	2	NUM
ap-1055	25	88	�	�	NOUN
ap-1055	25	89	and	and	CCONJ
ap-1055	25	90	let	let	VERB
ap-1055	25	91	us	we	PRON
ap-1055	25	92	define	define	VERB
ap-1055	25	93	the	the	DET
ap-1055	25	94	n	n	CCONJ
ap-1055	25	95	complex	complex	ADJ
ap-1055	25	96	functions	function	NOUN
ap-1055	25	97	�	�	PROPN
ap-1055	25	98	�	�	PROPN
ap-1055	25	99	�	�	PROPN
ap-1055	25	100	�	�	PROPN
ap-1055	25	101	(	(	PUNCT
ap-1055	25	102	(	(	PUNCT
ap-1055	25	103	)	)	PUNCT
ap-1055	25	104	,	,	PUNCT
ap-1055	25	105	{	{	PUNCT
ap-1055	25	106	,	,	PUNCT
ap-1055	25	107	,	,	PUNCT
ap-1055	25	108	,	,	PUNCT
ap-1055	25	109	}	}	PUNCT
ap-1055	26	1	a	a	X
ap-1055	26	2	)	)	PUNCT
ap-1055	26	3	e	e	NOUN
ap-1055	26	4	p	p	X
ap-1055	26	5	a	a	PRON
ap-1055	26	6	ei	ei	X
ap-1055	27	1	i	i	INTJ
ap-1055	27	2	j	j	PROPN
ap-1055	28	1	i	i	PRON
ap-1055	28	2	ji	ji	INTJ
ap-1055	29	1	i	i	PRON
ap-1055	29	2	i	i	PROPN
ap-1055	29	3	n	n	CCONJ
ap-1055	29	4	�	�	PROPN
ap-1055	29	5	�	�	PROPN
ap-1055	29	6	�	�	PROPN
ap-1055	29	7	�	�	PROPN
ap-1055	29	8	�	�	PROPN
ap-1055	29	9	1	1	NUM
ap-1055	29	10	2	2	NUM
ap-1055	29	11	�	�	PROPN
ap-1055	29	12	(	(	PUNCT
ap-1055	29	13	4	4	NUM
ap-1055	29	14	)	)	PUNCT
ap-1055	29	15	together	together	ADV
ap-1055	29	16	with	with	ADP
ap-1055	29	17	their	their	PRON
ap-1055	29	18	superposition	superposition	NOUN
ap-1055	29	19	state	state	NOUN
ap-1055	29	20	�	�	PROPN
ap-1055	29	21	�	�	PROPN
ap-1055	29	22	as	as	ADP
ap-1055	29	23	a	a	DET
ap-1055	29	24	quantum	quantum	ADJ
ap-1055	29	25	object	object	NOUN
ap-1055	29	26	at	at	ADP
ap-1055	29	27	its	its	PRON
ap-1055	29	28	measurement	measurement	NOUN
ap-1055	29	29	place	place	NOUN
ap-1055	29	30	(	(	PUNCT
ap-1055	29	31	or	or	CCONJ
ap-1055	29	32	at	at	ADP
ap-1055	29	33	time	time	NOUN
ap-1055	29	34	series	series	PROPN
ap-1055	29	35	position	position	PROPN
ap-1055	29	36	)	)	PUNCT
ap-1055	29	37	�	�	PROPN
ap-1055	29	38	:	:	PUNCT
ap-1055	29	39	�	�	PROPN
ap-1055	29	40	�	�	PROPN
ap-1055	29	41	�	�	PROPN
ap-1055	29	42	�	�	PROPN
ap-1055	29	43	�	�	PROPN
ap-1055	29	44	�	�	PROPN
ap-1055	29	45	�	�	PROPN
ap-1055	29	46	�	�	PROPN
ap-1055	29	47	�	�	PROPN
ap-1055	29	48	�	�	PROPN
ap-1055	29	49	�	�	PROPN
ap-1055	29	50	�	�	PROPN
ap-1055	29	51	�	�	PROPN
ap-1055	29	52	�	�	PROPN
ap-1055	29	53	�	�	PROPN
ap-1055	29	54	(	(	PUNCT
ap-1055	29	55	)	)	PUNCT
ap-1055	29	56	(	(	PUNCT
ap-1055	29	57	)	)	PUNCT
ap-1055	29	58	(	(	PUNCT
ap-1055	29	59	)	)	PUNCT
ap-1055	29	60	a	a	DET
ap-1055	29	61	a	a	DET
ap-1055	29	62	a	a	DET
ap-1055	29	63	a	a	DET
ap-1055	29	64	a	a	DET
ap-1055	29	65	a	a	DET
ap-1055	29	66	1	1	NUM
ap-1055	29	67	1	1	NUM
ap-1055	29	68	2	2	NUM
ap-1055	29	69	2	2	NUM
ap-1055	29	70	�	�	NOUN
ap-1055	29	71	n	n	CCONJ
ap-1055	29	72	n	n	PROPN
ap-1055	29	73	(	(	PUNCT
ap-1055	29	74	5	5	NUM
ap-1055	29	75	)	)	PUNCT
ap-1055	29	76	with	with	ADP
ap-1055	29	77	modules	module	NOUN
ap-1055	29	78	p	p	X
ap-1055	29	79	a	a	X
ap-1055	29	80	(	(	PUNCT
ap-1055	29	81	)	)	PUNCT
ap-1055	29	82	i	i	PRON
ap-1055	29	83	and	and	CCONJ
ap-1055	29	84	phases	phase	VERB
ap-1055	29	85	�	�	PROPN
ap-1055	29	86	i	i	PRON
ap-1055	29	87	where	where	SCONJ
ap-1055	29	88	the	the	DET
ap-1055	29	89	reference	reference	NOUN
ap-1055	29	90	phase	phase	NOUN
ap-1055	29	91	assigned	assign	VERB
ap-1055	29	92	to	to	ADP
ap-1055	29	93	event	event	NOUN
ap-1055	29	94	a1	a1	NOUN
ap-1055	29	95	is	be	AUX
ap-1055	29	96	chosen	choose	VERB
ap-1055	29	97	as	as	ADP
ap-1055	29	98	�	�	PROPN
ap-1055	29	99	1	1	NUM
ap-1055	29	100	0	0	NUM
ap-1055	29	101	�	�	PROPN
ap-1055	29	102	,	,	PUNCT
ap-1055	29	103	then	then	ADV
ap-1055	29	104	the	the	DET
ap-1055	29	105	inclusion	inclusion	NOUN
ap-1055	29	106	-	-	PUNCT
ap-1055	29	107	exclusion	exclusion	NOUN
ap-1055	29	108	rule	rule	NOUN
ap-1055	29	109	given	give	VERB
ap-1055	29	110	in	in	ADP
ap-1055	29	111	(	(	PUNCT
ap-1055	29	112	3	3	NUM
ap-1055	29	113	)	)	PUNCT
ap-1055	29	114	is	be	AUX
ap-1055	29	115	represented	represent	VERB
ap-1055	29	116	for	for	ADP
ap-1055	29	117	measurements	measurement	NOUN
ap-1055	29	118	on	on	ADP
ap-1055	29	119	quantum	quantum	ADJ
ap-1055	29	120	objects	object	NOUN
ap-1055	29	121	�	�	PROPN
ap-1055	29	122	�	�	PROPN
ap-1055	29	123	�	�	PROPN
ap-1055	29	124	�	�	PROPN
ap-1055	29	125	1	1	NUM
ap-1055	29	126	,	,	PUNCT
ap-1055	29	127	,	,	PUNCT
ap-1055	29	128	�	�	PROPN
ap-1055	29	129	n	n	CCONJ
ap-1055	29	130	(	(	PUNCT
ap-1055	29	131	or	or	CCONJ
ap-1055	29	132	at	at	ADP
ap-1055	29	133	a	a	DET
ap-1055	29	134	time	time	NOUN
ap-1055	29	135	series	series	NOUN
ap-1055	29	136	window	window	NOUN
ap-1055	29	137	)	)	PUNCT
ap-1055	29	138	by	by	ADP
ap-1055	29	139	:	:	PUNCT
ap-1055	29	140	p	p	X
ap-1055	29	141	a	a	DET
ap-1055	29	142	a	a	DET
ap-1055	29	143	a	a	DET
ap-1055	29	144	a	a	PROPN
ap-1055	29	145	(	(	PUNCT
ap-1055	29	146	)	)	PUNCT
ap-1055	29	147	(	(	PUNCT
ap-1055	29	148	)	)	SYM
ap-1055	29	149	1	1	NUM
ap-1055	29	150	1	1	NUM
ap-1055	29	151	2	2	NUM
ap-1055	29	152	2	2	NUM
ap-1055	29	153	1	1	NUM
ap-1055	29	154	2	2	NUM
ap-1055	29	155	�	�	PROPN
ap-1055	29	156	�	�	PROPN
ap-1055	29	157	�	�	PROPN
ap-1055	29	158	�	�	PROPN
ap-1055	29	159	�	�	PROPN
ap-1055	29	160	�	�	PROPN
ap-1055	29	161	�	�	PROPN
ap-1055	29	162	�	�	PROPN
ap-1055	29	163	�	�	PROPN
ap-1055	29	164	�	�	PROPN
ap-1055	29	165	�	�	PROPN
ap-1055	29	166	�	�	PROPN
ap-1055	29	167	�	�	PROPN
ap-1055	29	168	n	n	CCONJ
ap-1055	29	169	n	n	NOUN
ap-1055	29	170	i	i	PRON
ap-1055	29	171	i	i	PRON
ap-1055	29	172	n	n	INTJ
ap-1055	29	173	,	,	PUNCT
ap-1055	29	174	(	(	PUNCT
ap-1055	29	175	6	6	NUM
ap-1055	29	176	)	)	PUNCT
ap-1055	29	177	where	where	SCONJ
ap-1055	29	178	the	the	DET
ap-1055	29	179	phases	phase	NOUN
ap-1055	29	180	�	�	VERB
ap-1055	29	181	i	i	PRON
ap-1055	29	182	are	be	AUX
ap-1055	29	183	given	give	VERB
ap-1055	29	184	:	:	PUNCT
ap-1055	29	185	�	�	VERB
ap-1055	30	1	i	i	PRON
ap-1055	31	1	i	i	PRON
ap-1055	32	1	i	i	PRON
ap-1055	33	1	i	i	PRON
ap-1055	33	2	i	i	PRON
ap-1055	33	3	a	a	DET
ap-1055	33	4	�	�	PROPN
ap-1055	33	5	�	�	PROPN
ap-1055	33	6	�	�	PROPN
ap-1055	33	7	�	�	PROPN
ap-1055	33	8	�	�	PROPN
ap-1055	33	9	�	�	PROPN
ap-1055	33	10	�	�	PROPN
ap-1055	33	11	�	�	PROPN
ap-1055	33	12	�	�	PROPN
ap-1055	33	13	cos	cos	PROPN
ap-1055	33	14	(	(	PUNCT
ap-1055	33	15	)	)	PUNCT
ap-1055	33	16	)	)	PUNCT
ap-1055	34	1	(	(	PUNCT
ap-1055	34	2	)	)	PUNCT
ap-1055	34	3	(	(	PUNCT
ap-1055	34	4	1	1	NUM
ap-1055	34	5	2	2	NUM
ap-1055	34	6	1	1	NUM
ap-1055	34	7	2	2	NUM
ap-1055	34	8	1	1	NUM
ap-1055	34	9	1	1	NUM
ap-1055	34	10	2	2	NUM
ap-1055	34	11	1	1	NUM
ap-1055	34	12	p	p	NOUN
ap-1055	34	13	(	(	PUNCT
ap-1055	34	14	a	a	PRON
ap-1055	34	15	a	a	PRON
ap-1055	34	16	a	a	DET
ap-1055	34	17	a	a	DET
ap-1055	34	18	p	p	NOUN
ap-1055	34	19	a	a	DET
ap-1055	34	20	a	a	DET
ap-1055	34	21	a	a	DET
ap-1055	34	22	p	p	X
ap-1055	34	23	a	a	DET
ap-1055	34	24	�	�	PROPN
ap-1055	34	25	�	�	PROPN
ap-1055	34	26	)	)	PUNCT
ap-1055	34	27	,	,	PUNCT
ap-1055	34	28	,	,	PUNCT
ap-1055	34	29	,	,	PUNCT
ap-1055	34	30	�	�	PROPN
ap-1055	34	31	�	�	PROPN
ap-1055	34	32	�	�	PROPN
ap-1055	34	33	�	�	PROPN
ap-1055	34	34	�	�	PROPN
ap-1055	34	35	�	�	PROPN
ap-1055	34	36	�	�	PROPN
ap-1055	34	37	�	�	PROPN
ap-1055	34	38	1	1	NUM
ap-1055	34	39	2	2	NUM
ap-1055	34	40	1	1	NUM
ap-1055	34	41	�	�	NOUN
ap-1055	34	42	i	i	PRON
ap-1055	34	43	(	(	PUNCT
ap-1055	34	44	7	7	NUM
ap-1055	34	45	)	)	PUNCT
ap-1055	34	46	and	and	CCONJ
ap-1055	34	47	�	�	NOUN
ap-1055	34	48	1	1	NUM
ap-1055	34	49	2	2	NUM
ap-1055	34	50	1	1	NUM
ap-1055	34	51	,	,	PUNCT
ap-1055	34	52	,	,	PUNCT
ap-1055	34	53	,	,	PUNCT
ap-1055	34	54	�	�	PROPN
ap-1055	34	55	i	i	PRON
ap-1055	34	56	is	be	AUX
ap-1055	34	57	computed	compute	VERB
ap-1055	34	58	:	:	PUNCT
ap-1055	34	59	�	�	PROPN
ap-1055	34	60	�	�	PROPN
ap-1055	34	61	�	�	PROPN
ap-1055	34	62	�	�	PROPN
ap-1055	34	63	�	�	PROPN
ap-1055	34	64	(	(	PUNCT
ap-1055	34	65	)	)	PUNCT
ap-1055	34	66	(	(	PUNCT
ap-1055	34	67	)	)	PUNCT
ap-1055	34	68	(	(	PUNCT
ap-1055	34	69	)	)	PUNCT
ap-1055	34	70	,	,	PUNCT
ap-1055	34	71	,	,	PUNCT
ap-1055	34	72	,	,	PUNCT
ap-1055	34	73	,	,	PUNCT
ap-1055	34	74	a	a	DET
ap-1055	34	75	a	a	DET
ap-1055	34	76	a	a	DET
ap-1055	34	77	a	a	DET
ap-1055	34	78	a	a	DET
ap-1055	34	79	e	e	NOUN
ap-1055	34	80	1	1	NUM
ap-1055	34	81	2	2	NUM
ap-1055	34	82	1	1	NUM
ap-1055	34	83	1	1	NUM
ap-1055	34	84	1	1	NUM
ap-1055	34	85	1	1	NUM
ap-1055	34	86	2	2	NUM
ap-1055	34	87	1	1	NUM
ap-1055	34	88	1	1	NUM
ap-1055	34	89	2	2	NUM
ap-1055	34	90	�	�	PROPN
ap-1055	34	91	�	�	PROPN
ap-1055	34	92	�	�	PROPN
ap-1055	34	93	�	�	PROPN
ap-1055	34	94	�	�	PROPN
ap-1055	34	95	�	�	PROPN
ap-1055	34	96	�	�	PROPN
ap-1055	34	97	�	�	PROPN
ap-1055	34	98	�	�	PROPN
ap-1055	34	99	�	�	PROPN
ap-1055	34	100	�	�	PROPN
ap-1055	34	101	�	�	PROPN
ap-1055	34	102	i	i	PRON
ap-1055	34	103	i	i	PRON
ap-1055	35	1	i	i	VERB
ap-1055	35	2	j	j	PROPN
ap-1055	35	3	,	,	PUNCT
ap-1055	35	4	,	,	PUNCT
ap-1055	35	5	�	�	PROPN
ap-1055	35	6	i	i	ADJ
ap-1055	35	7	1	1	NUM
ap-1055	35	8	(	(	PUNCT
ap-1055	35	9	8)	8)	NUM
ap-1055	35	10	proof	proof	NOUN
ap-1055	35	11	:	:	PUNCT
ap-1055	35	12	the	the	DET
ap-1055	35	13	proof	proof	NOUN
ap-1055	35	14	is	be	AUX
ap-1055	35	15	presented	present	VERB
ap-1055	35	16	in	in	ADP
ap-1055	35	17	[	[	X
ap-1055	35	18	15	15	NUM
ap-1055	35	19	]	]	PUNCT
ap-1055	35	20	.	.	PUNCT
ap-1055	36	1	42	42	NUM
ap-1055	36	2	©	©	PROPN
ap-1055	36	3	czech	czech	PROPN
ap-1055	36	4	technical	technical	PROPN
ap-1055	36	5	university	university	PROPN
ap-1055	36	6	publishing	publishing	NOUN
ap-1055	36	7	house	house	NOUN
ap-1055	36	8	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-1055	36	9	acta	acta	PROPN
ap-1055	36	10	polytechnica	polytechnica	PROPN
ap-1055	36	11	vol	vol	NOUN
ap-1055	36	12	.	.	PUNCT
ap-1055	37	1	48	48	NUM
ap-1055	37	2	no	no	NOUN
ap-1055	37	3	.	.	PUNCT
ap-1055	38	1	5/2008	5/2008	NOUN
ap-1055	38	2	wave	wave	NOUN
ap-1055	38	3	probabilistic	probabilistic	ADJ
ap-1055	38	4	model	model	NOUN
ap-1055	38	5	of	of	ADP
ap-1055	38	6	binary	binary	PROPN
ap-1055	38	7	time	time	PROPN
ap-1055	38	8	series	series	PROPN
ap-1055	38	9	m.	m.	PROPN
ap-1055	38	10	svítek	svítek	PROPN
ap-1055	38	11	this	this	DET
ap-1055	38	12	paper	paper	NOUN
ap-1055	38	13	presents	present	VERB
ap-1055	38	14	the	the	DET
ap-1055	38	15	theory	theory	NOUN
ap-1055	38	16	of	of	ADP
ap-1055	38	17	wave	wave	NOUN
ap-1055	38	18	probabilistic	probabilistic	ADJ
ap-1055	38	19	models	model	NOUN
ap-1055	38	20	,	,	PUNCT
ap-1055	38	21	together	together	ADV
ap-1055	38	22	with	with	ADP
ap-1055	38	23	important	important	ADJ
ap-1055	38	24	features	feature	NOUN
ap-1055	38	25	,	,	PUNCT
ap-1055	38	26	such	such	ADJ
ap-1055	38	27	as	as	ADP
ap-1055	38	28	the	the	DET
ap-1055	38	29	inclusion	inclusion	NOUN
ap-1055	38	30	-	-	PUNCT
ap-1055	38	31	exclusion	exclusion	NOUN
ap-1055	38	32	rule	rule	NOUN
ap-1055	38	33	,	,	PUNCT
ap-1055	38	34	the	the	DET
ap-1055	38	35	product	product	NOUN
ap-1055	38	36	rule	rule	NOUN
ap-1055	38	37	,	,	PUNCT
ap-1055	38	38	the	the	DET
ap-1055	38	39	complementary	complementary	ADJ
ap-1055	38	40	principle	principle	NOUN
ap-1055	38	41	and	and	CCONJ
ap-1055	38	42	entanglement	entanglement	NOUN
ap-1055	38	43	.	.	PUNCT
ap-1055	39	1	these	these	DET
ap-1055	39	2	features	feature	NOUN
ap-1055	39	3	are	be	AUX
ap-1055	39	4	mathematically	mathematically	ADV
ap-1055	39	5	described	describe	VERB
ap-1055	39	6	,	,	PUNCT
ap-1055	39	7	and	and	CCONJ
ap-1055	39	8	an	an	DET
ap-1055	39	9	illustrative	illustrative	ADJ
ap-1055	39	10	example	example	NOUN
ap-1055	39	11	of	of	ADP
ap-1055	39	12	binary	binary	ADJ
ap-1055	39	13	time	time	NOUN
ap-1055	39	14	series	series	PROPN
ap-1055	39	15	is	be	AUX
ap-1055	39	16	shown	show	VERB
ap-1055	39	17	to	to	PART
ap-1055	39	18	demonstrate	demonstrate	VERB
ap-1055	39	19	possible	possible	ADJ
ap-1055	39	20	applications	application	NOUN
ap-1055	39	21	of	of	ADP
ap-1055	39	22	the	the	DET
ap-1055	39	23	theory	theory	NOUN
ap-1055	39	24	.	.	PUNCT
ap-1055	40	1	keywords	keyword	NOUN
ap-1055	40	2	:	:	PUNCT
ap-1055	40	3	quantum	quantum	NOUN
ap-1055	40	4	models	model	NOUN
ap-1055	40	5	,	,	PUNCT
ap-1055	40	6	wave	wave	NOUN
ap-1055	40	7	probabilistic	probabilistic	ADJ
ap-1055	40	8	functions	function	NOUN
ap-1055	40	9	,	,	PUNCT
ap-1055	40	10	binary	binary	ADJ
ap-1055	40	11	time	time	NOUN
ap-1055	40	12	series	series	PROPN
ap-1055	40	13	.	.	PUNCT
ap-1055	41	1	in	in	ADP
ap-1055	41	2	the	the	DET
ap-1055	41	3	next	next	ADJ
ap-1055	41	4	part	part	NOUN
ap-1055	41	5	of	of	ADP
ap-1055	41	6	this	this	DET
ap-1055	41	7	paper	paper	NOUN
ap-1055	41	8	,	,	PUNCT
ap-1055	41	9	the	the	DET
ap-1055	41	10	set	set	NOUN
ap-1055	41	11	of	of	ADP
ap-1055	41	12	complex	complex	ADJ
ap-1055	41	13	functions	function	NOUN
ap-1055	41	14	(	(	PUNCT
ap-1055	41	15	4	4	NUM
ap-1055	41	16	)	)	PUNCT
ap-1055	41	17	plus	plus	CCONJ
ap-1055	41	18	superposition	superposition	NOUN
ap-1055	41	19	state	state	NOUN
ap-1055	41	20	(	(	PUNCT
ap-1055	41	21	5	5	NUM
ap-1055	41	22	)	)	PUNCT
ap-1055	41	23	together	together	ADV
ap-1055	41	24	with	with	ADP
ap-1055	41	25	the	the	DET
ap-1055	41	26	inclusion	inclusion	NOUN
ap-1055	41	27	-	-	PUNCT
ap-1055	41	28	exclusion	exclusion	NOUN
ap-1055	41	29	rule	rule	NOUN
ap-1055	41	30	(	(	PUNCT
ap-1055	41	31	6	6	NUM
ap-1055	41	32	,	,	PUNCT
ap-1055	41	33	7	7	NUM
ap-1055	41	34	,	,	PUNCT
ap-1055	41	35	8)	8)	NUM
ap-1055	41	36	is	be	AUX
ap-1055	41	37	called	call	VERB
ap-1055	41	38	the	the	DET
ap-1055	41	39	wave	wave	NOUN
ap-1055	41	40	probabilistic	probabilistic	ADJ
ap-1055	41	41	model	model	NOUN
ap-1055	41	42	.	.	PUNCT
ap-1055	42	1	theorem	theorem	NOUN
ap-1055	42	2	2	2	NUM
ap-1055	42	3	:	:	PUNCT
ap-1055	42	4	let	let	VERB
ap-1055	42	5	us	we	PRON
ap-1055	42	6	define	define	VERB
ap-1055	42	7	n	n	DET
ap-1055	42	8	events	event	NOUN
ap-1055	42	9	ai	ai	VERB
ap-1055	42	10	,	,	PUNCT
ap-1055	42	11	i	i	PROPN
ap-1055	42	12	n	n	PRON
ap-1055	42	13	�	�	PROPN
ap-1055	42	14	{	{	PUNCT
ap-1055	42	15	,	,	PUNCT
ap-1055	42	16	,	,	PUNCT
ap-1055	42	17	,	,	PUNCT
ap-1055	42	18	}	}	PUNCT
ap-1055	42	19	1	1	NUM
ap-1055	42	20	2	2	NUM
ap-1055	42	21	�	�	NOUN
ap-1055	42	22	of	of	ADP
ap-1055	42	23	a	a	DET
ap-1055	42	24	sample	sample	NOUN
ap-1055	42	25	space	space	NOUN
ap-1055	42	26	s	s	PROPN
ap-1055	42	27	,	,	PUNCT
ap-1055	42	28	with	with	ADP
ap-1055	42	29	defined	define	VERB
ap-1055	42	30	probability	probability	NOUN
ap-1055	42	31	functions	function	NOUN
ap-1055	42	32	p(a	p(a	PROPN
ap-1055	42	33	i	i	PROPN
ap-1055	42	34	)	)	PUNCT
ap-1055	42	35	,	,	PUNCT
ap-1055	42	36	i	i	PRON
ap-1055	42	37	n	n	VERB
ap-1055	42	38	�	�	PROPN
ap-1055	42	39	{	{	PUNCT
ap-1055	42	40	,	,	PUNCT
ap-1055	42	41	,	,	PUNCT
ap-1055	42	42	,	,	PUNCT
ap-1055	42	43	}	}	PUNCT
ap-1055	42	44	1	1	NUM
ap-1055	42	45	2	2	NUM
ap-1055	42	46	�	�	PROPN
ap-1055	42	47	,	,	PUNCT
ap-1055	42	48	and	and	CCONJ
ap-1055	42	49	the	the	DET
ap-1055	42	50	n	n	CCONJ
ap-1055	42	51	complex	complex	ADJ
ap-1055	42	52	functions	function	NOUN
ap-1055	42	53	�	�	PROPN
ap-1055	42	54	(	(	PUNCT
ap-1055	42	55	a	a	DET
ap-1055	42	56	i	i	NOUN
ap-1055	42	57	)	)	PUNCT
ap-1055	42	58	with	with	ADP
ap-1055	42	59	modules	module	NOUN
ap-1055	42	60	p	p	X
ap-1055	42	61	a	a	X
ap-1055	42	62	(	(	PUNCT
ap-1055	42	63	)	)	PUNCT
ap-1055	42	64	i	i	PRON
ap-1055	42	65	and	and	CCONJ
ap-1055	42	66	phases	phase	VERB
ap-1055	42	67	�	�	PROPN
ap-1055	42	68	i	i	PRON
ap-1055	42	69	defined	define	VERB
ap-1055	42	70	in	in	ADP
ap-1055	42	71	(	(	PUNCT
ap-1055	42	72	4–8	4–8	NOUN
ap-1055	42	73	)	)	PUNCT
ap-1055	42	74	,	,	PUNCT
ap-1055	42	75	where	where	SCONJ
ap-1055	42	76	the	the	DET
ap-1055	42	77	reference	reference	NOUN
ap-1055	42	78	phase	phase	NOUN
ap-1055	42	79	assigned	assign	VERB
ap-1055	42	80	to	to	ADP
ap-1055	42	81	event	event	NOUN
ap-1055	42	82	a1	a1	NOUN
ap-1055	42	83	is	be	AUX
ap-1055	42	84	chosen	choose	VERB
ap-1055	42	85	as	as	ADP
ap-1055	42	86	�	�	PROPN
ap-1055	42	87	1	1	NUM
ap-1055	42	88	0	0	NUM
ap-1055	42	89	�	�	PROPN
ap-1055	42	90	,	,	PUNCT
ap-1055	42	91	then	then	ADV
ap-1055	42	92	the	the	DET
ap-1055	42	93	inclusion	inclusion	NOUN
ap-1055	42	94	-	-	PUNCT
ap-1055	42	95	exclusion	exclusion	NOUN
ap-1055	42	96	rule	rule	NOUN
ap-1055	42	97	given	give	VERB
ap-1055	42	98	for	for	ADP
ap-1055	42	99	the	the	DET
ap-1055	42	100	subset	subset	NOUN
ap-1055	42	101	of	of	ADP
ap-1055	42	102	events	event	NOUN
ap-1055	42	103	ar	ar	PROPN
ap-1055	42	104	,	,	PUNCT
ap-1055	42	105	r	r	PROPN
ap-1055	42	106	k	k	PROPN
ap-1055	42	107	k	k	PROPN
ap-1055	42	108	km	km	PROPN
ap-1055	42	109	�	�	PROPN
ap-1055	42	110	{	{	PUNCT
ap-1055	42	111	,	,	PUNCT
ap-1055	42	112	,	,	PUNCT
ap-1055	42	113	,	,	PUNCT
ap-1055	42	114	}	}	PUNCT
ap-1055	42	115	1	1	NUM
ap-1055	42	116	2	2	NUM
ap-1055	42	117	�	�	NOUN
ap-1055	42	118	is	be	AUX
ap-1055	42	119	given	give	VERB
ap-1055	42	120	as	as	ADP
ap-1055	42	121	:	:	PUNCT
ap-1055	42	122	p	p	X
ap-1055	42	123	p	p	X
ap-1055	42	124	(	(	PUNCT
ap-1055	42	125	)	)	PUNCT
ap-1055	42	126	lim	lim	PROPN
ap-1055	42	127	(	(	PUNCT
ap-1055	42	128	(	(	PUNCT
ap-1055	42	129	)	)	PUNCT
ap-1055	42	130	,	,	PUNCT
ap-1055	42	131	,	,	PUNCT
ap-1055	43	1	a	a	DET
ap-1055	43	2	a	a	PRON
ap-1055	43	3	a	a	PRON
ap-1055	43	4	a	a	PRON
ap-1055	43	5	a	a	DET
ap-1055	43	6	k	k	X
ap-1055	43	7	k	k	PROPN
ap-1055	43	8	k	k	PROPN
ap-1055	44	1	m	m	VERB
ap-1055	44	2	k	k	X
ap-1055	45	1	k	k	PROPN
ap-1055	45	2	k	k	PROPN
ap-1055	46	1	i	i	PRON
ap-1055	46	2	m	m	VERB
ap-1055	46	3	k	k	VERB
ap-1055	46	4	m	m	VERB
ap-1055	46	5	1	1	NUM
ap-1055	46	6	2	2	NUM
ap-1055	46	7	1	1	NUM
ap-1055	46	8	1	1	NUM
ap-1055	46	9	2	2	NUM
ap-1055	46	10	0	0	NUM
ap-1055	46	11	�	�	PROPN
ap-1055	46	12	�	�	PROPN
ap-1055	46	13	�	�	PROPN
ap-1055	46	14	�	�	PROPN
ap-1055	46	15	�	�	PROPN
ap-1055	46	16	�	�	PROPN
ap-1055	46	17	�	�	PROPN
ap-1055	46	18	�	�	PROPN
ap-1055	46	19	�	�	PROPN
ap-1055	46	20	�	�	PROPN
ap-1055	46	21	�	�	PROPN
ap-1055	46	22	�	�	PROPN
ap-1055	46	23	�	�	PROPN
ap-1055	46	24	�	�	PROPN
ap-1055	46	25	�	�	PROPN
ap-1055	46	26	�	�	PROPN
ap-1055	46	27	)	)	PUNCT
ap-1055	47	1	i	i	PRON
ap-1055	47	2	n	n	NUM
ap-1055	47	3	�	�	PROPN
ap-1055	47	4	1	1	NUM
ap-1055	47	5	2	2	NUM
ap-1055	47	6	(	(	PUNCT
ap-1055	47	7	9	9	NUM
ap-1055	47	8	)	)	PUNCT
ap-1055	47	9	proof	proof	NOUN
ap-1055	47	10	:	:	PUNCT
ap-1055	47	11	the	the	DET
ap-1055	47	12	proof	proof	NOUN
ap-1055	47	13	of	of	ADP
ap-1055	47	14	theorem	theorem	ADJ
ap-1055	47	15	2	2	NUM
ap-1055	47	16	arises	arise	VERB
ap-1055	47	17	directly	directly	ADV
ap-1055	47	18	from	from	ADP
ap-1055	47	19	theorem	theorem	ADJ
ap-1055	47	20	1	1	NUM
ap-1055	47	21	,	,	PUNCT
ap-1055	47	22	which	which	PRON
ap-1055	47	23	was	be	AUX
ap-1055	47	24	proven	prove	VERB
ap-1055	47	25	for	for	ADP
ap-1055	47	26	all	all	DET
ap-1055	47	27	probabilistic	probabilistic	ADJ
ap-1055	47	28	values	value	NOUN
ap-1055	47	29	p	p	NOUN
ap-1055	47	30	a	a	X
ap-1055	47	31	(	(	PUNCT
ap-1055	47	32	)	)	PUNCT
ap-1055	47	33	i	i	PRON
ap-1055	47	34	,	,	PUNCT
ap-1055	47	35	a	a	DET
ap-1055	47	36	i	i	PROPN
ap-1055	47	37	,	,	PUNCT
ap-1055	47	38	i	i	PROPN
ap-1055	47	39	n	n	PRON
ap-1055	47	40	�	�	PROPN
ap-1055	47	41	{	{	PUNCT
ap-1055	47	42	,	,	PUNCT
ap-1055	47	43	,	,	PUNCT
ap-1055	47	44	,	,	PUNCT
ap-1055	47	45	}	}	PUNCT
ap-1055	47	46	1	1	NUM
ap-1055	47	47	2	2	NUM
ap-1055	47	48	�	�	NOUN
ap-1055	47	49	including	include	VERB
ap-1055	47	50	zeros	zero	NOUN
ap-1055	47	51	.	.	PUNCT
ap-1055	48	1	the	the	DET
ap-1055	48	2	zero	zero	NUM
ap-1055	48	3	probabilistic	probabilistic	ADJ
ap-1055	48	4	values	value	NOUN
ap-1055	48	5	have	have	VERB
ap-1055	48	6	an	an	DET
ap-1055	48	7	impact	impact	NOUN
ap-1055	48	8	on	on	ADP
ap-1055	48	9	phase	phase	NOUN
ap-1055	48	10	parameters	parameter	NOUN
ap-1055	48	11	�	�	PROPN
ap-1055	48	12	i	i	PRON
ap-1055	48	13	and	and	CCONJ
ap-1055	48	14	change	change	VERB
ap-1055	48	15	them	they	PRON
ap-1055	48	16	in	in	ADP
ap-1055	48	17	such	such	DET
ap-1055	48	18	a	a	DET
ap-1055	48	19	way	way	NOUN
ap-1055	48	20	that	that	PRON
ap-1055	48	21	equation	equation	NOUN
ap-1055	48	22	(	(	PUNCT
ap-1055	48	23	9	9	NUM
ap-1055	48	24	)	)	PUNCT
ap-1055	48	25	is	be	AUX
ap-1055	48	26	fulfilled	fulfil	VERB
ap-1055	48	27	.	.	PUNCT
ap-1055	49	1	in	in	ADP
ap-1055	49	2	this	this	DET
ap-1055	49	3	paper	paper	NOUN
ap-1055	49	4	we	we	PRON
ap-1055	49	5	assume	assume	VERB
ap-1055	49	6	that	that	SCONJ
ap-1055	49	7	quantum	quantum	NOUN
ap-1055	49	8	objects	object	NOUN
ap-1055	49	9	�	�	PROPN
ap-1055	49	10	are	be	AUX
ap-1055	49	11	distinguishable	distinguishable	ADJ
ap-1055	49	12	.	.	PUNCT
ap-1055	50	1	when	when	SCONJ
ap-1055	50	2	two	two	NUM
ap-1055	50	3	identical	identical	ADJ
ap-1055	50	4	particles	particle	NOUN
ap-1055	50	5	interact	interact	VERB
ap-1055	50	6	(	(	PUNCT
ap-1055	50	7	there	there	PRON
ap-1055	50	8	is	be	VERB
ap-1055	50	9	a	a	DET
ap-1055	50	10	significant	significant	ADJ
ap-1055	50	11	overlap	overlap	NOUN
ap-1055	50	12	of	of	ADP
ap-1055	50	13	their	their	PRON
ap-1055	50	14	wave	wave	NOUN
ap-1055	50	15	functions	function	NOUN
ap-1055	50	16	)	)	PUNCT
ap-1055	50	17	,	,	PUNCT
ap-1055	50	18	we	we	PRON
ap-1055	50	19	can	can	AUX
ap-1055	50	20	not	not	PART
ap-1055	50	21	distinguish	distinguish	VERB
ap-1055	50	22	between	between	ADP
ap-1055	50	23	them	they	PRON
ap-1055	50	24	.	.	PUNCT
ap-1055	51	1	these	these	DET
ap-1055	51	2	overlapping	overlap	VERB
ap-1055	51	3	quantum	quantum	ADJ
ap-1055	51	4	objects	object	NOUN
ap-1055	51	5	are	be	AUX
ap-1055	51	6	in	in	ADP
ap-1055	51	7	general	general	ADJ
ap-1055	51	8	bosons	boson	NOUN
ap-1055	51	9	(	(	PUNCT
ap-1055	51	10	plus	plus	CCONJ
ap-1055	51	11	sign	sign	VERB
ap-1055	51	12	corresponding	correspond	VERB
ap-1055	51	13	to	to	ADP
ap-1055	51	14	a	a	DET
ap-1055	51	15	symmetric	symmetric	ADJ
ap-1055	51	16	wave	wave	NOUN
ap-1055	51	17	function	function	NOUN
ap-1055	51	18	under	under	ADP
ap-1055	51	19	exchange	exchange	NOUN
ap-1055	51	20	of	of	ADP
ap-1055	51	21	quantum	quantum	ADJ
ap-1055	51	22	objects	object	NOUN
ap-1055	51	23	)	)	PUNCT
ap-1055	51	24	or	or	CCONJ
ap-1055	51	25	fermions	fermion	NOUN
ap-1055	51	26	(	(	PUNCT
ap-1055	51	27	minus	minus	CCONJ
ap-1055	51	28	sign	sign	NOUN
ap-1055	51	29	corresponding	correspond	VERB
ap-1055	51	30	to	to	ADP
ap-1055	51	31	an	an	DET
ap-1055	51	32	anti	anti	ADJ
ap-1055	51	33	-	-	ADJ
ap-1055	51	34	symmetric	symmetric	ADJ
ap-1055	51	35	wave	wave	NOUN
ap-1055	51	36	function	function	NOUN
ap-1055	51	37	under	under	ADP
ap-1055	51	38	exchange	exchange	NOUN
ap-1055	51	39	of	of	ADP
ap-1055	51	40	quantum	quantum	ADJ
ap-1055	51	41	objects	object	NOUN
ap-1055	51	42	)	)	PUNCT
ap-1055	51	43	.	.	PUNCT
ap-1055	52	1	3	3	NUM
ap-1055	52	2	wave	wave	NOUN
ap-1055	52	3	probabilities	probability	NOUN
ap-1055	52	4	and	and	CCONJ
ap-1055	52	5	entanglement	entanglement	NOUN
ap-1055	52	6	quantum	quantum	ADJ
ap-1055	52	7	entanglement	entanglement	NOUN
ap-1055	52	8	(	(	PUNCT
ap-1055	52	9	the	the	DET
ap-1055	52	10	definition	definition	NOUN
ap-1055	52	11	for	for	ADP
ap-1055	52	12	describing	describe	VERB
ap-1055	52	13	the	the	DET
ap-1055	52	14	entanglement	entanglement	NOUN
ap-1055	52	15	principle	principle	NOUN
ap-1055	52	16	from	from	ADP
ap-1055	52	17	wikipedia	wikipedia	PROPN
ap-1055	52	18	,	,	PUNCT
ap-1055	52	19	available	available	ADJ
ap-1055	52	20	on	on	ADP
ap-1055	52	21	:	:	PUNCT
ap-1055	52	22	http://en.wikipedia.org/wiki/quantum_entanglement	http://en.wikipedia.org/wiki/quantum_entanglement	NOUN
ap-1055	52	23	)	)	PUNCT
ap-1055	52	24	is	be	AUX
ap-1055	52	25	a	a	DET
ap-1055	52	26	quantum	quantum	ADJ
ap-1055	52	27	mechanical	mechanical	ADJ
ap-1055	52	28	phenomenon	phenomenon	NOUN
ap-1055	52	29	in	in	ADP
ap-1055	52	30	which	which	PRON
ap-1055	52	31	the	the	DET
ap-1055	52	32	quantum	quantum	ADJ
ap-1055	52	33	states	state	NOUN
ap-1055	52	34	of	of	ADP
ap-1055	52	35	two	two	NUM
ap-1055	52	36	or	or	CCONJ
ap-1055	52	37	more	more	ADJ
ap-1055	52	38	quantum	quantum	ADJ
ap-1055	52	39	objects	object	NOUN
ap-1055	52	40	have	have	VERB
ap-1055	52	41	to	to	PART
ap-1055	52	42	be	be	AUX
ap-1055	52	43	described	describe	VERB
ap-1055	52	44	with	with	ADP
ap-1055	52	45	reference	reference	NOUN
ap-1055	52	46	to	to	ADP
ap-1055	52	47	each	each	DET
ap-1055	52	48	other	other	ADJ
ap-1055	52	49	,	,	PUNCT
ap-1055	52	50	even	even	ADV
ap-1055	52	51	though	though	SCONJ
ap-1055	52	52	the	the	DET
ap-1055	52	53	individual	individual	ADJ
ap-1055	52	54	objects	object	NOUN
ap-1055	52	55	may	may	AUX
ap-1055	52	56	be	be	AUX
ap-1055	52	57	spatially	spatially	ADV
ap-1055	52	58	separated	separate	VERB
ap-1055	52	59	.	.	PUNCT
ap-1055	53	1	this	this	PRON
ap-1055	53	2	leads	lead	VERB
ap-1055	53	3	to	to	ADP
ap-1055	53	4	correlations	correlation	NOUN
ap-1055	53	5	between	between	ADP
ap-1055	53	6	observable	observable	ADJ
ap-1055	53	7	physical	physical	ADJ
ap-1055	53	8	properties	property	NOUN
ap-1055	53	9	of	of	ADP
ap-1055	53	10	the	the	DET
ap-1055	53	11	systems	system	NOUN
ap-1055	53	12	.	.	PUNCT
ap-1055	54	1	for	for	ADP
ap-1055	54	2	example	example	NOUN
ap-1055	54	3	,	,	PUNCT
ap-1055	54	4	it	it	PRON
ap-1055	54	5	is	be	AUX
ap-1055	54	6	possible	possible	ADJ
ap-1055	54	7	to	to	PART
ap-1055	54	8	prepare	prepare	VERB
ap-1055	54	9	two	two	NUM
ap-1055	54	10	particles	particle	NOUN
ap-1055	54	11	in	in	ADP
ap-1055	54	12	a	a	DET
ap-1055	54	13	single	single	ADJ
ap-1055	54	14	quantum	quantum	ADJ
ap-1055	54	15	state	state	NOUN
ap-1055	54	16	such	such	ADJ
ap-1055	54	17	that	that	SCONJ
ap-1055	54	18	when	when	SCONJ
ap-1055	54	19	one	one	PRON
ap-1055	54	20	is	be	AUX
ap-1055	54	21	observed	observe	VERB
ap-1055	54	22	to	to	PART
ap-1055	54	23	be	be	AUX
ap-1055	54	24	spin	spin	NOUN
ap-1055	54	25	-	-	PUNCT
ap-1055	54	26	up	up	NOUN
ap-1055	54	27	,	,	PUNCT
ap-1055	54	28	the	the	DET
ap-1055	54	29	other	other	ADJ
ap-1055	54	30	one	one	NOUN
ap-1055	54	31	will	will	AUX
ap-1055	54	32	always	always	ADV
ap-1055	54	33	be	be	AUX
ap-1055	54	34	observed	observe	VERB
ap-1055	54	35	to	to	PART
ap-1055	54	36	be	be	AUX
ap-1055	54	37	spin	spin	NOUN
ap-1055	54	38	-	-	PUNCT
ap-1055	54	39	down	down	NOUN
ap-1055	54	40	and	and	CCONJ
ap-1055	54	41	vice	vice	ADV
ap-1055	54	42	versa	versa	ADV
ap-1055	54	43	,	,	PUNCT
ap-1055	54	44	despite	despite	SCONJ
ap-1055	54	45	the	the	DET
ap-1055	54	46	fact	fact	NOUN
ap-1055	54	47	that	that	SCONJ
ap-1055	54	48	it	it	PRON
ap-1055	54	49	is	be	AUX
ap-1055	54	50	impossible	impossible	ADJ
ap-1055	54	51	to	to	PART
ap-1055	54	52	predict	predict	VERB
ap-1055	54	53	,	,	PUNCT
ap-1055	54	54	according	accord	VERB
ap-1055	54	55	to	to	ADP
ap-1055	54	56	quantum	quantum	ADJ
ap-1055	54	57	mechanics	mechanic	NOUN
ap-1055	54	58	,	,	PUNCT
ap-1055	54	59	which	which	PRON
ap-1055	54	60	set	set	VERB
ap-1055	54	61	of	of	ADP
ap-1055	54	62	measurements	measurement	NOUN
ap-1055	54	63	will	will	AUX
ap-1055	54	64	be	be	AUX
ap-1055	54	65	observed	observe	VERB
ap-1055	54	66	.	.	PUNCT
ap-1055	55	1	as	as	ADP
ap-1055	55	2	a	a	DET
ap-1055	55	3	result	result	NOUN
ap-1055	55	4	,	,	PUNCT
ap-1055	55	5	measurements	measurement	NOUN
ap-1055	55	6	performed	perform	VERB
ap-1055	55	7	on	on	ADP
ap-1055	55	8	one	one	NUM
ap-1055	55	9	system	system	NOUN
ap-1055	55	10	seem	seem	VERB
ap-1055	55	11	to	to	PART
ap-1055	55	12	be	be	AUX
ap-1055	55	13	instantaneously	instantaneously	ADV
ap-1055	55	14	influencing	influence	VERB
ap-1055	55	15	other	other	ADJ
ap-1055	55	16	systems	system	NOUN
ap-1055	55	17	entangled	entangle	VERB
ap-1055	55	18	with	with	ADP
ap-1055	55	19	it	it	PRON
ap-1055	55	20	.	.	PUNCT
ap-1055	56	1	theorem	theorem	VERB
ap-1055	56	2	3	3	NUM
ap-1055	56	3	:	:	PUNCT
ap-1055	56	4	let	let	VERB
ap-1055	56	5	us	we	PRON
ap-1055	56	6	define	define	VERB
ap-1055	56	7	n	n	DET
ap-1055	56	8	events	event	NOUN
ap-1055	56	9	ai	ai	VERB
ap-1055	56	10	,	,	PUNCT
ap-1055	56	11	i	i	PROPN
ap-1055	56	12	n	n	PRON
ap-1055	56	13	�	�	PROPN
ap-1055	56	14	{	{	PUNCT
ap-1055	56	15	,	,	PUNCT
ap-1055	56	16	,	,	PUNCT
ap-1055	56	17	,	,	PUNCT
ap-1055	56	18	}	}	PUNCT
ap-1055	56	19	1	1	NUM
ap-1055	56	20	2	2	NUM
ap-1055	56	21	�	�	NOUN
ap-1055	56	22	of	of	ADP
ap-1055	56	23	a	a	DET
ap-1055	56	24	sample	sample	NOUN
ap-1055	56	25	space	space	NOUN
ap-1055	56	26	s	s	PROPN
ap-1055	56	27	,	,	PUNCT
ap-1055	56	28	with	with	ADP
ap-1055	56	29	defined	define	VERB
ap-1055	56	30	probability	probability	NOUN
ap-1055	56	31	functions	function	NOUN
ap-1055	56	32	p(a	p(a	PROPN
ap-1055	56	33	i	i	PROPN
ap-1055	56	34	)	)	PUNCT
ap-1055	56	35	,	,	PUNCT
ap-1055	56	36	i	i	PRON
ap-1055	56	37	n	n	VERB
ap-1055	56	38	�	�	PROPN
ap-1055	56	39	{	{	PUNCT
ap-1055	56	40	,	,	PUNCT
ap-1055	56	41	,	,	PUNCT
ap-1055	56	42	,	,	PUNCT
ap-1055	56	43	}	}	PUNCT
ap-1055	56	44	1	1	NUM
ap-1055	56	45	2	2	NUM
ap-1055	56	46	�	�	PROPN
ap-1055	56	47	,	,	PUNCT
ap-1055	56	48	and	and	CCONJ
ap-1055	56	49	the	the	DET
ap-1055	56	50	n	n	CCONJ
ap-1055	56	51	complex	complex	ADJ
ap-1055	56	52	functions	function	NOUN
ap-1055	56	53	�	�	PROPN
ap-1055	56	54	(	(	PUNCT
ap-1055	56	55	a	a	DET
ap-1055	56	56	i	i	NOUN
ap-1055	56	57	)	)	PUNCT
ap-1055	56	58	with	with	ADP
ap-1055	56	59	modules	module	NOUN
ap-1055	56	60	p	p	X
ap-1055	56	61	a	a	X
ap-1055	56	62	(	(	PUNCT
ap-1055	56	63	)	)	PUNCT
ap-1055	56	64	i	i	PRON
ap-1055	56	65	and	and	CCONJ
ap-1055	56	66	phases	phase	VERB
ap-1055	56	67	�	�	PROPN
ap-1055	56	68	i	i	PRON
ap-1055	56	69	defined	define	VERB
ap-1055	56	70	in	in	ADP
ap-1055	56	71	(	(	PUNCT
ap-1055	56	72	4–8	4–8	NOUN
ap-1055	56	73	)	)	PUNCT
ap-1055	56	74	,	,	PUNCT
ap-1055	56	75	where	where	SCONJ
ap-1055	56	76	the	the	DET
ap-1055	56	77	reference	reference	NOUN
ap-1055	56	78	phase	phase	NOUN
ap-1055	56	79	assigned	assign	VERB
ap-1055	56	80	to	to	ADP
ap-1055	56	81	event	event	NOUN
ap-1055	56	82	a1	a1	NOUN
ap-1055	56	83	is	be	AUX
ap-1055	56	84	chosen	choose	VERB
ap-1055	56	85	as	as	ADP
ap-1055	56	86	�	�	PROPN
ap-1055	56	87	1	1	NUM
ap-1055	56	88	0	0	NUM
ap-1055	56	89	�	�	PROPN
ap-1055	56	90	,	,	PUNCT
ap-1055	56	91	then	then	ADV
ap-1055	56	92	all	all	DET
ap-1055	56	93	events	event	NOUN
ap-1055	56	94	ar	ar	VERB
ap-1055	56	95	,	,	PUNCT
ap-1055	56	96	r	r	NOUN
ap-1055	56	97	r	r	NOUN
ap-1055	56	98	r	r	PROPN
ap-1055	56	99	rn	rn	PROPN
ap-1055	56	100	�	�	PROPN
ap-1055	56	101	{	{	PUNCT
ap-1055	56	102	,	,	PUNCT
ap-1055	56	103	,	,	PUNCT
ap-1055	56	104	,	,	PUNCT
ap-1055	56	105	}	}	PUNCT
ap-1055	56	106	1	1	NUM
ap-1055	56	107	2	2	NUM
ap-1055	56	108	�	�	NOUN
ap-1055	56	109	with	with	ADP
ap-1055	56	110	only	only	ADV
ap-1055	56	111	two	two	NUM
ap-1055	56	112	possible	possible	ADJ
ap-1055	56	113	states	state	NOUN
ap-1055	56	114	a	a	DET
ap-1055	56	115	r	r	NOUN
ap-1055	56	116	ii	ii	PROPN
ap-1055	56	117	�	�	PROPN
ap-1055	56	118	�	�	PROPN
ap-1055	56	119	a	a	DET
ap-1055	56	120	r	r	NOUN
ap-1055	56	121	ii	ii	PROPN
ap-1055	56	122	�	�	PROPN
ap-1055	56	123	�	�	PROPN
ap-1055	56	124	are	be	AUX
ap-1055	56	125	entangled	entangle	VERB
ap-1055	56	126	if	if	SCONJ
ap-1055	56	127	the	the	DET
ap-1055	56	128	following	follow	VERB
ap-1055	56	129	form	form	NOUN
ap-1055	56	130	holds	hold	VERB
ap-1055	56	131	:	:	PUNCT
ap-1055	56	132	p	p	X
ap-1055	56	133	p	p	X
ap-1055	56	134	(	(	PUNCT
ap-1055	56	135	)	)	PUNCT
ap-1055	56	136	lim	lim	PROPN
ap-1055	56	137	(	(	PUNCT
ap-1055	56	138	)	)	PUNCT
ap-1055	56	139	(	(	PUNCT
ap-1055	56	140	(	(	PUNCT
ap-1055	56	141	)	)	PUNCT
ap-1055	56	142	,	,	PUNCT
ap-1055	56	143	,	,	PUNCT
ap-1055	56	144	,	,	PUNCT
ap-1055	56	145	a	a	DET
ap-1055	56	146	a	a	PRON
ap-1055	56	147	a	a	PRON
ap-1055	56	148	a	a	DET
ap-1055	56	149	r	r	NOUN
ap-1055	56	150	r	r	NOUN
ap-1055	56	151	n	n	NOUN
ap-1055	56	152	k	k	NOUN
ap-1055	56	153	r	r	NOUN
ap-1055	56	154	r	r	NOUN
ap-1055	56	155	r	r	NOUN
ap-1055	56	156	n	n	NOUN
ap-1055	56	157	k	k	NOUN
ap-1055	56	158	n	n	ADV
ap-1055	56	159	1	1	NUM
ap-1055	56	160	1	1	NUM
ap-1055	56	161	2	2	NUM
ap-1055	56	162	1	1	NUM
ap-1055	56	163	0	0	NUM
ap-1055	56	164	1	1	NUM
ap-1055	56	165	�	�	PROPN
ap-1055	56	166	�	�	PROPN
ap-1055	56	167	�	�	PROPN
ap-1055	56	168	�	�	PROPN
ap-1055	56	169	�	�	PROPN
ap-1055	56	170	�	�	PROPN
ap-1055	56	171	�	�	PROPN
ap-1055	56	172	�	�	PROPN
ap-1055	56	173	�	�	PROPN
ap-1055	56	174	�	�	PROPN
ap-1055	56	175	�	�	PROPN
ap-1055	56	176	�	�	PROPN
ap-1055	56	177	�	�	PROPN
ap-1055	56	178	�	�	PROPN
ap-1055	56	179	�	�	PROPN
ap-1055	56	180	a	a	DET
ap-1055	56	181	a2	a2	PROPN
ap-1055	56	182	2	2	NUM
ap-1055	56	183	0	0	NUM
ap-1055	56	184	)	)	PUNCT
ap-1055	56	185	(	(	PUNCT
ap-1055	56	186	)	)	PUNCT
ap-1055	56	187	�	�	PROPN
ap-1055	56	188	�	�	PROPN
ap-1055	56	189	�	�	PROPN
ap-1055	56	190	�	�	PROPN
ap-1055	56	191	�	�	PROPN
ap-1055	56	192	n	n	CCONJ
ap-1055	56	193	(	(	PUNCT
ap-1055	56	194	10	10	NUM
ap-1055	56	195	)	)	PUNCT
ap-1055	56	196	which	which	PRON
ap-1055	56	197	yields	yield	VERB
ap-1055	56	198	into	into	ADP
ap-1055	56	199	form	form	NOUN
ap-1055	56	200	:	:	PUNCT
ap-1055	56	201	p	p	X
ap-1055	56	202	a	a	DET
ap-1055	56	203	a	a	X
ap-1055	56	204	(	(	PUNCT
ap-1055	56	205	)	)	PUNCT
ap-1055	56	206	r	r	NOUN
ap-1055	56	207	r	r	NOUN
ap-1055	56	208	nn1	nn1	PROPN
ap-1055	56	209	1	1	NUM
ap-1055	56	210	1	1	NUM
ap-1055	56	211	�	�	PROPN
ap-1055	56	212	�	�	PROPN
ap-1055	56	213	�	�	PROPN
ap-1055	56	214	�	�	PROPN
ap-1055	56	215	�	�	PROPN
ap-1055	56	216	�	�	PROPN
ap-1055	56	217	�	�	PROPN
ap-1055	56	218	�	�	PROPN
ap-1055	56	219	(	(	PUNCT
ap-1055	56	220	11	11	NUM
ap-1055	56	221	)	)	PUNCT
ap-1055	56	222	where	where	SCONJ
ap-1055	56	223	a	a	DET
ap-1055	56	224	r	r	NOUN
ap-1055	56	225	ii	ii	PROPN
ap-1055	56	226	�	�	PROPN
ap-1055	56	227	�	�	PROPN
ap-1055	56	228	means	mean	VERB
ap-1055	56	229	the	the	DET
ap-1055	56	230	inversion	inversion	NOUN
ap-1055	56	231	state	state	NOUN
ap-1055	56	232	in	in	ADP
ap-1055	56	233	comparison	comparison	NOUN
ap-1055	56	234	with	with	ADP
ap-1055	56	235	a	a	DET
ap-1055	56	236	r	r	NOUN
ap-1055	56	237	ii	ii	PROPN
ap-1055	56	238	�	�	PROPN
ap-1055	56	239	�	�	PROPN
ap-1055	56	240	on	on	ADP
ap-1055	56	241	quantum	quantum	ADJ
ap-1055	56	242	object	object	NOUN
ap-1055	56	243	(	(	PUNCT
ap-1055	56	244	)	)	PUNCT
ap-1055	56	245	�	�	PROPN
ap-1055	56	246	�	�	PROPN
ap-1055	56	247	i	i	PRON
ap-1055	56	248	.	.	PUNCT
ap-1055	57	1	proof	proof	NOUN
ap-1055	57	2	:	:	PUNCT
ap-1055	57	3	theorem	theorem	ADJ
ap-1055	57	4	3	3	NUM
ap-1055	57	5	emerges	emerge	VERB
ap-1055	57	6	directly	directly	ADV
ap-1055	57	7	from	from	ADP
ap-1055	57	8	the	the	DET
ap-1055	57	9	inclusion	inclusion	NOUN
ap-1055	57	10	-	-	PUNCT
ap-1055	57	11	exclusion	exclusion	NOUN
ap-1055	57	12	rules	rule	NOUN
ap-1055	57	13	and	and	CCONJ
ap-1055	57	14	from	from	ADP
ap-1055	57	15	the	the	DET
ap-1055	57	16	definition	definition	NOUN
ap-1055	57	17	of	of	ADP
ap-1055	57	18	wave	wave	NOUN
ap-1055	57	19	probabilities	probability	NOUN
ap-1055	57	20	.	.	PUNCT
ap-1055	58	1	phase	phase	NOUN
ap-1055	58	2	parameters	parameter	NOUN
ap-1055	58	3	assigned	assign	VERB
ap-1055	58	4	into	into	ADP
ap-1055	58	5	wave	wave	NOUN
ap-1055	58	6	functions	function	NOUN
ap-1055	58	7	can	can	AUX
ap-1055	58	8	be	be	AUX
ap-1055	58	9	either	either	CCONJ
ap-1055	58	10	positive	positive	ADJ
ap-1055	58	11	or	or	CCONJ
ap-1055	58	12	negative	negative	ADJ
ap-1055	58	13	.	.	PUNCT
ap-1055	59	1	form	form	NOUN
ap-1055	59	2	(	(	PUNCT
ap-1055	59	3	10	10	NUM
ap-1055	59	4	)	)	PUNCT
ap-1055	59	5	modifies	modify	VERB
ap-1055	59	6	the	the	DET
ap-1055	59	7	phases	phase	NOUN
ap-1055	59	8	for	for	ADP
ap-1055	59	9	the	the	DET
ap-1055	59	10	selected	select	VERB
ap-1055	59	11	subset	subset	NOUN
ap-1055	59	12	of	of	ADP
ap-1055	59	13	events	event	NOUN
ap-1055	59	14	{	{	PUNCT
ap-1055	59	15	,	,	PUNCT
ap-1055	59	16	,	,	PUNCT
ap-1055	59	17	,	,	PUNCT
ap-1055	59	18	}	}	PUNCT
ap-1055	59	19	a	a	DET
ap-1055	59	20	a	a	DET
ap-1055	59	21	ar	ar	NOUN
ap-1055	59	22	r	r	NOUN
ap-1055	59	23	rn1	rn1	PROPN
ap-1055	59	24	2	2	NUM
ap-1055	59	25	�	�	PROPN
ap-1055	59	26	to	to	PART
ap-1055	59	27	comply	comply	VERB
ap-1055	59	28	with	with	ADP
ap-1055	59	29	the	the	DET
ap-1055	59	30	inclusion	inclusion	NOUN
ap-1055	59	31	-	-	PUNCT
ap-1055	59	32	exclusion	exclusion	NOUN
ap-1055	59	33	rule	rule	NOUN
ap-1055	59	34	(	(	PUNCT
ap-1055	59	35	9	9	NUM
ap-1055	59	36	)	)	PUNCT
ap-1055	59	37	.	.	PUNCT
ap-1055	60	1	for	for	ADP
ap-1055	60	2	special	special	ADJ
ap-1055	60	3	cases	case	NOUN
ap-1055	60	4	,	,	PUNCT
ap-1055	60	5	the	the	DET
ap-1055	60	6	inclusion	inclusion	NOUN
ap-1055	60	7	-	-	PUNCT
ap-1055	60	8	exclusion	exclusion	NOUN
ap-1055	60	9	rule	rule	NOUN
ap-1055	60	10	can	can	AUX
ap-1055	60	11	yield	yield	VERB
ap-1055	60	12	into	into	ADP
ap-1055	60	13	zero	zero	NUM
ap-1055	60	14	due	due	ADP
ap-1055	60	15	to	to	PART
ap-1055	60	16	wave	wave	VERB
ap-1055	60	17	resonances	resonance	NOUN
ap-1055	60	18	within	within	ADP
ap-1055	60	19	the	the	DET
ap-1055	60	20	phases	phase	NOUN
ap-1055	60	21	of	of	ADP
ap-1055	60	22	events	event	NOUN
ap-1055	60	23	.	.	PUNCT
ap-1055	61	1	this	this	DET
ap-1055	61	2	special	special	ADJ
ap-1055	61	3	case	case	NOUN
ap-1055	61	4	can	can	AUX
ap-1055	61	5	occur	occur	VERB
ap-1055	61	6	for	for	ADP
ap-1055	61	7	a	a	DET
ap-1055	61	8	special	special	ADJ
ap-1055	61	9	set	set	NOUN
ap-1055	61	10	up	up	ADP
ap-1055	61	11	of	of	ADP
ap-1055	61	12	phases	phase	NOUN
ap-1055	61	13	.	.	PUNCT
ap-1055	62	1	zero	zero	NUM
ap-1055	62	2	probability	probability	NOUN
ap-1055	62	3	(	(	PUNCT
ap-1055	62	4	10	10	NUM
ap-1055	62	5	)	)	PUNCT
ap-1055	62	6	directly	directly	ADV
ap-1055	62	7	yields	yield	VERB
ap-1055	62	8	into	into	ADP
ap-1055	62	9	equation	equation	NOUN
ap-1055	62	10	(	(	PUNCT
ap-1055	62	11	11	11	NUM
ap-1055	62	12	)	)	PUNCT
ap-1055	62	13	,	,	PUNCT
ap-1055	62	14	which	which	PRON
ap-1055	62	15	defines	define	VERB
ap-1055	62	16	that	that	SCONJ
ap-1055	62	17	the	the	DET
ap-1055	62	18	state	state	NOUN
ap-1055	62	19	characterized	characterize	VERB
ap-1055	62	20	by	by	ADP
ap-1055	62	21	a	a	DET
ap-1055	62	22	ar	ar	PROPN
ap-1055	62	23	rn1	rn1	PROPN
ap-1055	62	24	�	�	PROPN
ap-1055	62	25	�	�	PROPN
ap-1055	62	26	�	�	PROPN
ap-1055	62	27	will	will	AUX
ap-1055	62	28	surely	surely	ADV
ap-1055	62	29	occur	occur	VERB
ap-1055	62	30	.	.	PUNCT
ap-1055	63	1	this	this	DET
ap-1055	63	2	state	state	NOUN
ap-1055	63	3	is	be	AUX
ap-1055	63	4	not	not	PART
ap-1055	63	5	random	random	ADJ
ap-1055	63	6	but	but	CCONJ
ap-1055	63	7	fully	fully	ADV
ap-1055	63	8	deterministic	deterministic	ADJ
ap-1055	63	9	and	and	CCONJ
ap-1055	63	10	so	so	ADV
ap-1055	63	11	spatially	spatially	ADV
ap-1055	63	12	spread	spread	VERB
ap-1055	63	13	within	within	ADP
ap-1055	63	14	events	event	NOUN
ap-1055	63	15	{	{	PUNCT
ap-1055	63	16	,	,	PUNCT
ap-1055	63	17	,	,	PUNCT
ap-1055	63	18	,	,	PUNCT
ap-1055	63	19	}	}	PUNCT
ap-1055	63	20	a	a	DET
ap-1055	63	21	a	a	DET
ap-1055	63	22	ar	ar	NOUN
ap-1055	63	23	r	r	NOUN
ap-1055	63	24	rn1	rn1	PROPN
ap-1055	63	25	2	2	NUM
ap-1055	63	26	�	�	PROPN
ap-1055	63	27	.	.	PUNCT
ap-1055	64	1	it	it	PRON
ap-1055	64	2	can	can	AUX
ap-1055	64	3	be	be	AUX
ap-1055	64	4	stated	state	VERB
ap-1055	64	5	that	that	SCONJ
ap-1055	64	6	entanglement	entanglement	NOUN
ap-1055	64	7	is	be	AUX
ap-1055	64	8	the	the	DET
ap-1055	64	9	logical	logical	ADJ
ap-1055	64	10	result	result	NOUN
ap-1055	64	11	of	of	ADP
ap-1055	64	12	probabilistic	probabilistic	ADJ
ap-1055	64	13	wave	wave	NOUN
ap-1055	64	14	functions	function	NOUN
ap-1055	64	15	,	,	PUNCT
ap-1055	64	16	and	and	CCONJ
ap-1055	64	17	represents	represent	VERB
ap-1055	64	18	something	something	PRON
ap-1055	64	19	like	like	ADP
ap-1055	64	20	the	the	DET
ap-1055	64	21	resonance	resonance	NOUN
ap-1055	64	22	wave	wave	NOUN
ap-1055	64	23	functions	function	NOUN
ap-1055	64	24	yielding	yield	VERB
ap-1055	64	25	into	into	ADP
ap-1055	64	26	deterministic	deterministic	ADJ
ap-1055	64	27	states	state	NOUN
ap-1055	64	28	.	.	PUNCT
ap-1055	65	1	4	4	NUM
ap-1055	65	2	estimation	estimation	NOUN
ap-1055	65	3	algorithm	algorithm	NOUN
ap-1055	65	4	of	of	ADP
ap-1055	65	5	the	the	DET
ap-1055	65	6	wave	wave	NOUN
ap-1055	65	7	probabilistic	probabilistic	ADJ
ap-1055	65	8	model	model	NOUN
ap-1055	65	9	of	of	ADP
ap-1055	65	10	time	time	NOUN
ap-1055	65	11	series	series	NOUN
ap-1055	65	12	we	we	PRON
ap-1055	65	13	assume	assume	VERB
ap-1055	65	14	the	the	DET
ap-1055	65	15	time	time	NOUN
ap-1055	65	16	series	series	PROPN
ap-1055	65	17	composed	compose	VERB
ap-1055	65	18	of	of	ADP
ap-1055	65	19	many	many	ADJ
ap-1055	65	20	quantum	quantum	ADJ
ap-1055	65	21	objects	object	NOUN
ap-1055	65	22	,	,	PUNCT
ap-1055	65	23	each	each	PRON
ap-1055	65	24	of	of	ADP
ap-1055	65	25	which	which	PRON
ap-1055	65	26	is	be	AUX
ap-1055	65	27	described	describe	VERB
ap-1055	65	28	by	by	ADP
ap-1055	65	29	wave	wave	NOUN
ap-1055	65	30	function	function	NOUN
ap-1055	65	31	covering	cover	VERB
ap-1055	65	32	the	the	DET
ap-1055	65	33	superposition	superposition	NOUN
ap-1055	65	34	principle	principle	NOUN
ap-1055	65	35	of	of	ADP
ap-1055	65	36	all	all	DET
ap-1055	65	37	possible	possible	ADJ
ap-1055	65	38	events	event	NOUN
ap-1055	65	39	{	{	PUNCT
ap-1055	65	40	,	,	PUNCT
ap-1055	65	41	,	,	PUNCT
ap-1055	65	42	,	,	PUNCT
ap-1055	65	43	}	}	PUNCT
ap-1055	65	44	a	a	DET
ap-1055	65	45	a	a	DET
ap-1055	65	46	a1	a1	NOUN
ap-1055	65	47	2	2	NUM
ap-1055	65	48	�	�	PROPN
ap-1055	65	49	n	n	CCONJ
ap-1055	65	50	:	:	PUNCT
ap-1055	65	51	�	�	PROPN
ap-1055	65	52	�	�	PROPN
ap-1055	65	53	�	�	PROPN
ap-1055	65	54	�	�	PROPN
ap-1055	65	55	�	�	PROPN
ap-1055	65	56	�	�	PROPN
ap-1055	65	57	�	�	PROPN
ap-1055	65	58	�	�	PROPN
ap-1055	65	59	�	�	PROPN
ap-1055	65	60	�	�	PROPN
ap-1055	65	61	�	�	PROPN
ap-1055	65	62	1	1	NUM
ap-1055	65	63	1a	1a	PROPN
ap-1055	65	64	an	an	DET
ap-1055	65	65	n	n	X
ap-1055	65	66	�	�	PROPN
ap-1055	65	67	,	,	PUNCT
ap-1055	65	68	(	(	PUNCT
ap-1055	65	69	12	12	NUM
ap-1055	65	70	)	)	PUNCT
ap-1055	65	71	where	where	SCONJ
ap-1055	65	72	�	�	PROPN
ap-1055	65	73	means	mean	VERB
ap-1055	65	74	the	the	DET
ap-1055	65	75	�	�	PROPN
ap-1055	65	76	-th	-th	ADJ
ap-1055	65	77	quantum	quantum	ADJ
ap-1055	65	78	object	object	NOUN
ap-1055	65	79	.	.	PUNCT
ap-1055	66	1	if	if	SCONJ
ap-1055	66	2	we	we	PRON
ap-1055	66	3	take	take	VERB
ap-1055	66	4	into	into	ADP
ap-1055	66	5	consideration	consideration	NOUN
ap-1055	66	6	the	the	DET
ap-1055	66	7	window	window	NOUN
ap-1055	66	8	of	of	ADP
ap-1055	66	9	i	i	PROPN
ap-1055	66	10	quantum	quantum	NOUN
ap-1055	66	11	objects	object	NOUN
ap-1055	66	12	,	,	PUNCT
ap-1055	66	13	the	the	DET
ap-1055	66	14	corresponding	corresponding	ADJ
ap-1055	66	15	wave	wave	NOUN
ap-1055	66	16	function	function	NOUN
ap-1055	66	17	~	~	SYM
ap-1055	66	18	�	�	PROPN
ap-1055	66	19	�	�	PROPN
ap-1055	66	20	is	be	AUX
ap-1055	66	21	given	give	VERB
ap-1055	66	22	by	by	ADP
ap-1055	66	23	the	the	DET
ap-1055	66	24	kronecker	kronecker	NOUN
ap-1055	66	25	product	product	NOUN
ap-1055	66	26	[	[	X
ap-1055	66	27	14	14	NUM
ap-1055	66	28	]	]	X
ap-1055	66	29	:	:	PUNCT
ap-1055	66	30	~	~	PUNCT
ap-1055	66	31	�	�	PROPN
ap-1055	66	32	�	�	PROPN
ap-1055	66	33	�	�	PROPN
ap-1055	66	34	�	�	PROPN
ap-1055	66	35	�	�	PROPN
ap-1055	66	36	�	�	PROPN
ap-1055	66	37	�	�	PROPN
ap-1055	66	38	�	�	PROPN
ap-1055	66	39	�	�	PROPN
ap-1055	66	40	�	�	PROPN
ap-1055	66	41	�	�	PROPN
ap-1055	66	42	�	�	PROPN
ap-1055	66	43	�	�	PROPN
ap-1055	66	44	�	�	PROPN
ap-1055	66	45	�	�	PROPN
ap-1055	66	46	1	1	NUM
ap-1055	66	47	2	2	NUM
ap-1055	66	48	�	�	NOUN
ap-1055	66	49	i	i	PRON
ap-1055	66	50	,	,	PUNCT
ap-1055	66	51	(	(	PUNCT
ap-1055	66	52	13	13	NUM
ap-1055	66	53	)	)	PUNCT
ap-1055	66	54	where	where	SCONJ
ap-1055	66	55	~	~	PUNCT
ap-1055	66	56	�	�	PROPN
ap-1055	66	57	�	�	PROPN
ap-1055	66	58	2	2	NUM
ap-1055	66	59	give	give	VERB
ap-1055	66	60	us	we	PRON
ap-1055	66	61	probabilities	probability	NOUN
ap-1055	66	62	that	that	PRON
ap-1055	66	63	measurements	measurement	VERB
ap-1055	66	64	on	on	ADP
ap-1055	66	65	the	the	DET
ap-1055	66	66	set	set	NOUN
ap-1055	66	67	of	of	ADP
ap-1055	66	68	i	i	PROPN
ap-1055	66	69	quantum	quantum	NOUN
ap-1055	66	70	objects	object	NOUN
ap-1055	66	71	{	{	PUNCT
ap-1055	66	72	,	,	PUNCT
ap-1055	66	73	,	,	PUNCT
ap-1055	66	74	}	}	PUNCT
ap-1055	66	75	�	�	PROPN
ap-1055	66	76	�	�	PROPN
ap-1055	66	77	�	�	PROPN
ap-1055	66	78	�	�	PROPN
ap-1055	66	79	1	1	NUM
ap-1055	66	80	�	�	PROPN
ap-1055	66	81	i	i	PRON
ap-1055	66	82	will	will	AUX
ap-1055	66	83	yield	yield	VERB
ap-1055	66	84	into	into	ADP
ap-1055	66	85	a	a	DET
ap-1055	66	86	series	series	NOUN
ap-1055	66	87	of	of	ADP
ap-1055	66	88	predefined	predefine	VERB
ap-1055	66	89	events	event	NOUN
ap-1055	66	90	.	.	PUNCT
ap-1055	67	1	now	now	ADV
ap-1055	67	2	we	we	PRON
ap-1055	67	3	assume	assume	VERB
ap-1055	67	4	that	that	SCONJ
ap-1055	67	5	we	we	PRON
ap-1055	67	6	have	have	VERB
ap-1055	67	7	the	the	DET
ap-1055	67	8	time	time	NOUN
ap-1055	67	9	series	series	NOUN
ap-1055	67	10	,	,	PUNCT
ap-1055	67	11	and	and	CCONJ
ap-1055	67	12	by	by	ADP
ap-1055	67	13	return	return	NOUN
ap-1055	67	14	,	,	PUNCT
ap-1055	67	15	we	we	PRON
ap-1055	67	16	estimate	estimate	VERB
ap-1055	67	17	the	the	DET
ap-1055	67	18	wave	wave	NOUN
ap-1055	67	19	functions	function	NOUN
ap-1055	67	20	(	(	PUNCT
ap-1055	67	21	4	4	NUM
ap-1055	67	22	)	)	PUNCT
ap-1055	67	23	.	.	PUNCT
ap-1055	68	1	the	the	DET
ap-1055	68	2	algorithm	algorithm	NOUN
ap-1055	68	3	for	for	ADP
ap-1055	68	4	estimating	estimate	VERB
ap-1055	68	5	the	the	DET
ap-1055	68	6	parameters	parameter	NOUN
ap-1055	68	7	of	of	ADP
ap-1055	68	8	the	the	DET
ap-1055	68	9	wave	wave	NOUN
ap-1055	68	10	functions	function	NOUN
ap-1055	68	11	can	can	AUX
ap-1055	68	12	be	be	AUX
ap-1055	68	13	decomposed	decompose	VERB
ap-1055	68	14	into	into	ADP
ap-1055	68	15	following	follow	VERB
ap-1055	68	16	steps	step	NOUN
ap-1055	68	17	:	:	PUNCT
ap-1055	68	18	1	1	X
ap-1055	68	19	.	.	X
ap-1055	68	20	let	let	VERB
ap-1055	68	21	us	we	PRON
ap-1055	68	22	start	start	VERB
ap-1055	68	23	with	with	ADP
ap-1055	68	24	two	two	NUM
ap-1055	68	25	events	event	NOUN
ap-1055	68	26	{	{	PUNCT
ap-1055	68	27	,	,	PUNCT
ap-1055	68	28	}	}	PUNCT
ap-1055	68	29	a	a	DET
ap-1055	68	30	a1	a1	NOUN
ap-1055	68	31	2	2	NUM
ap-1055	68	32	and	and	CCONJ
ap-1055	68	33	assume	assume	VERB
ap-1055	68	34	�	�	PROPN
ap-1055	68	35	�	�	PROPN
ap-1055	68	36	1	1	NUM
ap-1055	68	37	0	0	NUM
ap-1055	68	38	�	�	PROPN
ap-1055	68	39	.	.	PUNCT
ap-1055	69	1	©	©	PROPN
ap-1055	69	2	czech	czech	PROPN
ap-1055	69	3	technical	technical	PROPN
ap-1055	69	4	university	university	PROPN
ap-1055	69	5	publishing	publishing	NOUN
ap-1055	69	6	house	house	NOUN
ap-1055	69	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-1055	69	8	43	43	NUM
ap-1055	69	9	acta	acta	PROPN
ap-1055	69	10	polytechnica	polytechnica	PROPN
ap-1055	69	11	vol	vol	NOUN
ap-1055	69	12	.	.	PUNCT
ap-1055	70	1	48	48	NUM
ap-1055	70	2	no	no	NOUN
ap-1055	70	3	.	.	PUNCT
ap-1055	71	1	5/2008	5/2008	PROPN
ap-1055	71	2	2	2	NUM
ap-1055	71	3	.	.	PUNCT
ap-1055	72	1	we	we	PRON
ap-1055	72	2	can	can	AUX
ap-1055	72	3	estimate	estimate	VERB
ap-1055	72	4	the	the	DET
ap-1055	72	5	phase	phase	NOUN
ap-1055	72	6	�	�	NOUN
ap-1055	72	7	�	�	NOUN
ap-1055	72	8	2	2	NUM
ap-1055	72	9	from	from	ADP
ap-1055	72	10	the	the	DET
ap-1055	72	11	following	follow	VERB
ap-1055	72	12	equation	equation	NOUN
ap-1055	72	13	:	:	PUNCT
ap-1055	72	14	p	p	X
ap-1055	72	15	a	a	PRON
ap-1055	72	16	a	a	DET
ap-1055	72	17	a	a	DET
ap-1055	72	18	a	a	PROPN
ap-1055	72	19	(	(	PUNCT
ap-1055	72	20	)	)	PUNCT
ap-1055	72	21	(	(	PUNCT
ap-1055	72	22	)	)	PUNCT
ap-1055	72	23	(	(	PUNCT
ap-1055	72	24	)	)	PUNCT
ap-1055	72	25	�	�	PROPN
ap-1055	72	26	�	�	PROPN
ap-1055	72	27	�	�	PROPN
ap-1055	72	28	�	�	PROPN
ap-1055	72	29	cos	cos	PROPN
ap-1055	72	30	1	1	NUM
ap-1055	72	31	1	1	NUM
ap-1055	72	32	2	2	NUM
ap-1055	72	33	2	2	NUM
ap-1055	72	34	1	1	NUM
ap-1055	72	35	2	2	NUM
ap-1055	72	36	2	2	NUM
ap-1055	72	37	1	1	NUM
ap-1055	72	38	2	2	NUM
ap-1055	72	39	2	2	NUM
ap-1055	72	40	2	2	NUM
ap-1055	72	41	1	1	NUM
ap-1055	72	42	22	22	NUM
ap-1055	72	43	�	�	PROPN
ap-1055	72	44	�	�	PROPN
ap-1055	72	45	�	�	PROPN
ap-1055	72	46	�	�	PROPN
ap-1055	72	47	�	�	PROPN
ap-1055	72	48	�	�	PROPN
ap-1055	72	49	�	�	PROPN
ap-1055	72	50	�	�	PROPN
ap-1055	72	51	�	�	PROPN
ap-1055	72	52	�	�	PROPN
ap-1055	72	53	�	�	PROPN
ap-1055	72	54	�	�	PROPN
ap-1055	72	55	�	�	PROPN
ap-1055	72	56	�	�	PROPN
ap-1055	72	57	�	�	PROPN
ap-1055	72	58	�	�	PROPN
ap-1055	72	59	�	�	PROPN
ap-1055	72	60	(	(	PUNCT
ap-1055	72	61	�	�	PROPN
ap-1055	72	62	�	�	PROPN
ap-1055	72	63	)	)	PUNCT
ap-1055	72	64	�	�	PROPN
ap-1055	72	65	,	,	PUNCT
ap-1055	72	66	�	�	PROPN
ap-1055	72	67	�	�	PROPN
ap-1055	72	68	�	�	PROPN
ap-1055	72	69	2	2	NUM
ap-1055	72	70	1	1	NUM
ap-1055	72	71	1	1	NUM
ap-1055	72	72	2	2	NUM
ap-1055	72	73	2	2	NUM
ap-1055	72	74	�	�	PROPN
ap-1055	72	75	(	(	PUNCT
ap-1055	72	76	14	14	NUM
ap-1055	72	77	)	)	PUNCT
ap-1055	72	78	with	with	ADP
ap-1055	72	79	the	the	DET
ap-1055	72	80	help	help	NOUN
ap-1055	72	81	of	of	ADP
ap-1055	72	82	occurrence	occurrence	NOUN
ap-1055	72	83	rates	rate	NOUN
ap-1055	72	84	�	�	PROPN
ap-1055	72	85	,	,	PUNCT
ap-1055	72	86	�	�	PROPN
ap-1055	72	87	,	,	PUNCT
ap-1055	72	88	�	�	PROPN
ap-1055	72	89	,	,	PUNCT
ap-1055	72	90	�	�	PROPN
ap-1055	72	91	,	,	PUNCT
ap-1055	72	92	�	�	PROPN
ap-1055	72	93	�	�	PROPN
ap-1055	72	94	�	�	PROPN
ap-1055	72	95	�	�	PROPN
ap-1055	72	96	1	1	NUM
ap-1055	72	97	2	2	NUM
ap-1055	72	98	1	1	NUM
ap-1055	72	99	2	2	NUM
ap-1055	72	100	1	1	NUM
ap-1055	72	101	estimated	estimate	VERB
ap-1055	72	102	from	from	ADP
ap-1055	72	103	time	time	NOUN
ap-1055	72	104	series	series	NOUN
ap-1055	72	105	.	.	PUNCT
ap-1055	73	1	in	in	ADP
ap-1055	73	2	principle	principle	NOUN
ap-1055	73	3	we	we	PRON
ap-1055	73	4	estimate	estimate	VERB
ap-1055	73	5	the	the	DET
ap-1055	73	6	probabilities	probability	NOUN
ap-1055	73	7	:	:	PUNCT
ap-1055	73	8	p	p	X
ap-1055	73	9	a	a	DET
ap-1055	73	10	p	p	X
ap-1055	73	11	a	a	DET
ap-1055	73	12	p	p	NOUN
ap-1055	73	13	a	a	DET
ap-1055	73	14	a	a	PROPN
ap-1055	73	15	(	(	PUNCT
ap-1055	73	16	)	)	PUNCT
ap-1055	73	17	,	,	PUNCT
ap-1055	73	18	(	(	PUNCT
ap-1055	73	19	)	)	PUNCT
ap-1055	73	20	,	,	PUNCT
ap-1055	73	21	(	(	PUNCT
ap-1055	73	22	)	)	SYM
ap-1055	73	23	1	1	NUM
ap-1055	73	24	2	2	NUM
ap-1055	73	25	1	1	NUM
ap-1055	73	26	2	2	NUM
ap-1055	73	27	1	1	NUM
ap-1055	73	28	�	�	PROPN
ap-1055	73	29	�	�	PROPN
ap-1055	73	30	�	�	PROPN
ap-1055	73	31	�	�	PROPN
ap-1055	73	32	�	�	PROPN
ap-1055	73	33	�	�	PROPN
ap-1055	73	34	and	and	CCONJ
ap-1055	73	35	compute	compute	VERB
ap-1055	73	36	the	the	DET
ap-1055	73	37	parameters	parameter	NOUN
ap-1055	73	38	�	�	PROPN
ap-1055	73	39	,	,	PUNCT
ap-1055	73	40	�	�	PROPN
ap-1055	73	41	,	,	PUNCT
ap-1055	73	42	�	�	PROPN
ap-1055	73	43	,	,	PUNCT
ap-1055	73	44	�	�	PROPN
ap-1055	73	45	�	�	PROPN
ap-1055	73	46	�	�	PROPN
ap-1055	73	47	1	1	NUM
ap-1055	73	48	2	2	NUM
ap-1055	73	49	1	1	NUM
ap-1055	73	50	2	2	NUM
ap-1055	73	51	.	.	NOUN
ap-1055	74	1	3	3	X
ap-1055	74	2	.	.	X
ap-1055	75	1	we	we	PRON
ap-1055	75	2	continue	continue	VERB
ap-1055	75	3	and	and	CCONJ
ap-1055	75	4	extend	extend	VERB
ap-1055	75	5	the	the	DET
ap-1055	75	6	algorithm	algorithm	NOUN
ap-1055	75	7	for	for	ADP
ap-1055	75	8	three	three	NUM
ap-1055	75	9	events	event	NOUN
ap-1055	75	10	{	{	PUNCT
ap-1055	75	11	,	,	PUNCT
ap-1055	75	12	,	,	PUNCT
ap-1055	75	13	}	}	PUNCT
ap-1055	75	14	a	a	DET
ap-1055	75	15	a	a	DET
ap-1055	75	16	a1	a1	NOUN
ap-1055	75	17	2	2	NUM
ap-1055	75	18	3	3	NUM
ap-1055	75	19	p	p	NOUN
ap-1055	75	20	a	a	DET
ap-1055	75	21	a	a	DET
ap-1055	75	22	a	a	DET
ap-1055	75	23	a	a	DET
ap-1055	75	24	a	a	DET
ap-1055	75	25	a	a	PRON
ap-1055	75	26	(	(	PUNCT
ap-1055	75	27	)	)	PUNCT
ap-1055	75	28	(	(	PUNCT
ap-1055	75	29	)	)	PUNCT
ap-1055	75	30	(	(	PUNCT
ap-1055	75	31	)	)	PUNCT
ap-1055	75	32	(	(	PUNCT
ap-1055	75	33	)	)	PUNCT
ap-1055	75	34	�	�	PROPN
ap-1055	75	35	�	�	PROPN
ap-1055	75	36	1	1	NUM
ap-1055	75	37	1	1	NUM
ap-1055	75	38	2	2	NUM
ap-1055	75	39	2	2	NUM
ap-1055	75	40	3	3	NUM
ap-1055	75	41	3	3	NUM
ap-1055	75	42	1	1	NUM
ap-1055	75	43	2	2	NUM
ap-1055	75	44	3	3	NUM
ap-1055	75	45	2	2	NUM
ap-1055	75	46	1	1	NUM
ap-1055	75	47	2	2	NUM
ap-1055	75	48	2	2	NUM
ap-1055	75	49	2	2	NUM
ap-1055	75	50	�	�	PROPN
ap-1055	75	51	�	�	PROPN
ap-1055	75	52	�	�	PROPN
ap-1055	75	53	�	�	PROPN
ap-1055	75	54	�	�	PROPN
ap-1055	75	55	�	�	PROPN
ap-1055	75	56	�	�	PROPN
ap-1055	75	57	�	�	PROPN
ap-1055	75	58	�	�	PROPN
ap-1055	75	59	�	�	PROPN
ap-1055	75	60	�	�	PROPN
ap-1055	75	61	�	�	PROPN
ap-1055	75	62	�	�	PROPN
ap-1055	75	63	�	�	PROPN
ap-1055	75	64	�	�	PROPN
ap-1055	75	65	�	�	PROPN
ap-1055	75	66	�	�	PROPN
ap-1055	75	67	�	�	PROPN
ap-1055	75	68	�	�	PROPN
ap-1055	75	69	�	�	PROPN
ap-1055	75	70	�	�	PROPN
ap-1055	75	71	�	�	PROPN
ap-1055	75	72	cos	cos	PROPN
ap-1055	75	73	(	(	PUNCT
ap-1055	75	74	�	�	PROPN
ap-1055	75	75	�	�	PROPN
ap-1055	75	76	)	)	PUNCT
ap-1055	75	77	�	�	PROPN
ap-1055	75	78	�	�	PROPN
ap-1055	75	79	cos	cos	PROPN
ap-1055	75	80	(	(	PUNCT
ap-1055	75	81	�	�	PROPN
ap-1055	75	82	�	�	PROPN
ap-1055	75	83	)	)	PUNCT
ap-1055	75	84	�	�	PROPN
ap-1055	75	85	�	�	PROPN
ap-1055	75	86	�	�	PROPN
ap-1055	75	87	�	�	PROPN
ap-1055	75	88	�	�	PROPN
ap-1055	75	89	�	�	PROPN
ap-1055	75	90	�	�	PROPN
ap-1055	75	91	�	�	PROPN
ap-1055	75	92	�	�	PROPN
ap-1055	75	93	3	3	NUM
ap-1055	75	94	2	2	NUM
ap-1055	75	95	1	1	NUM
ap-1055	75	96	2	2	NUM
ap-1055	75	97	2	2	NUM
ap-1055	75	98	1	1	NUM
ap-1055	75	99	2	2	NUM
ap-1055	75	100	3	3	NUM
ap-1055	75	101	3	3	NUM
ap-1055	75	102	2	2	NUM
ap-1055	75	103	2	2	NUM
ap-1055	75	104	2	2	NUM
ap-1055	75	105	2	2	NUM
ap-1055	75	106	�	�	PROPN
ap-1055	75	107	�	�	PROPN
ap-1055	75	108	�	�	PROPN
ap-1055	75	109	�	�	PROPN
ap-1055	75	110	�	�	PROPN
ap-1055	75	111	�	�	PROPN
ap-1055	75	112	cos	cos	PROPN
ap-1055	75	113	(	(	PUNCT
ap-1055	75	114	�	�	PROPN
ap-1055	75	115	�	�	PROPN
ap-1055	75	116	)	)	PUNCT
ap-1055	75	117	,	,	PUNCT
ap-1055	75	118	�	�	PROPN
ap-1055	75	119	�	�	PROPN
ap-1055	75	120	�	�	PROPN
ap-1055	75	121	�	�	PROPN
ap-1055	75	122	1	1	NUM
ap-1055	75	123	3	3	NUM
ap-1055	75	124	3	3	NUM
ap-1055	75	125	1	1	NUM
ap-1055	75	126	�	�	PROPN
ap-1055	75	127	�	�	PROPN
ap-1055	75	128	(	(	PUNCT
ap-1055	75	129	15	15	NUM
ap-1055	75	130	)	)	PUNCT
ap-1055	75	131	where	where	SCONJ
ap-1055	75	132	the	the	DET
ap-1055	75	133	estimate	estimate	NOUN
ap-1055	75	134	of	of	ADP
ap-1055	75	135	angle	angle	PROPN
ap-1055	75	136	�	�	PROPN
ap-1055	75	137	�	�	PROPN
ap-1055	75	138	3	3	NUM
ap-1055	75	139	can	can	AUX
ap-1055	75	140	be	be	AUX
ap-1055	75	141	computed	compute	VERB
ap-1055	75	142	from	from	ADP
ap-1055	75	143	the	the	DET
ap-1055	75	144	following	follow	VERB
ap-1055	75	145	equation	equation	NOUN
ap-1055	75	146	:	:	PUNCT
ap-1055	75	147	�	�	PROPN
ap-1055	75	148	cos	cos	PROPN
ap-1055	75	149	(	(	PUNCT
ap-1055	75	150	�	�	PROPN
ap-1055	75	151	�	�	PROPN
ap-1055	75	152	)	)	PUNCT
ap-1055	75	153	�	�	PROPN
ap-1055	75	154	cos	cos	PROPN
ap-1055	75	155	(	(	PUNCT
ap-1055	75	156	�	�	PROPN
ap-1055	75	157	�	�	PROPN
ap-1055	75	158	)	)	PUNCT
ap-1055	75	159	�	�	PROPN
ap-1055	75	160	cos	cos	PROPN
ap-1055	75	161	(	(	PUNCT
ap-1055	75	162	�	�	PROPN
ap-1055	75	163	,	,	PUNCT
ap-1055	75	164	,	,	PUNCT
ap-1055	75	165	�	�	PROPN
ap-1055	75	166	�	�	PROPN
ap-1055	75	167	�	�	PROPN
ap-1055	75	168	�	�	PROPN
ap-1055	75	169	�	�	PROPN
ap-1055	75	170	�	�	PROPN
ap-1055	75	171	�	�	PROPN
ap-1055	75	172	�	�	PROPN
ap-1055	75	173	1	1	NUM
ap-1055	75	174	2	2	NUM
ap-1055	75	175	3	3	NUM
ap-1055	75	176	1	1	NUM
ap-1055	75	177	2	2	NUM
ap-1055	75	178	2	2	NUM
ap-1055	75	179	3	3	NUM
ap-1055	75	180	2	2	NUM
ap-1055	75	181	1	1	NUM
ap-1055	75	182	3	3	NUM
ap-1055	75	183	�	�	PROPN
ap-1055	75	184	�	�	PROPN
ap-1055	75	185	�	�	PROPN
ap-1055	75	186	�	�	PROPN
ap-1055	75	187	�	�	PROPN
ap-1055	75	188	�	�	PROPN
ap-1055	75	189	)	)	PUNCT
ap-1055	75	190	�	�	PROPN
ap-1055	75	191	1	1	NUM
ap-1055	75	192	(	(	PUNCT
ap-1055	75	193	16	16	NUM
ap-1055	75	194	)	)	PUNCT
ap-1055	75	195	under	under	ADP
ap-1055	75	196	knowledge	knowledge	NOUN
ap-1055	75	197	of	of	ADP
ap-1055	75	198	the	the	DET
ap-1055	75	199	estimated	estimate	VERB
ap-1055	75	200	parameters	parameter	NOUN
ap-1055	75	201	�	�	PROPN
ap-1055	75	202	,	,	PUNCT
ap-1055	75	203	�	�	PROPN
ap-1055	75	204	,	,	PUNCT
ap-1055	75	205	�	�	PROPN
ap-1055	75	206	,	,	PUNCT
ap-1055	75	207	,	,	PUNCT
ap-1055	75	208	�	�	PROPN
ap-1055	75	209	�	�	PROPN
ap-1055	75	210	�	�	PROPN
ap-1055	75	211	1	1	NUM
ap-1055	75	212	2	2	NUM
ap-1055	75	213	1	1	NUM
ap-1055	75	214	2	2	NUM
ap-1055	75	215	�	�	PROPN
ap-1055	75	216	,	,	PUNCT
ap-1055	75	217	�	�	PROPN
ap-1055	75	218	,	,	PUNCT
ap-1055	75	219	�	�	PROPN
ap-1055	75	220	,	,	PUNCT
ap-1055	75	221	�	�	PROPN
ap-1055	75	222	�	�	PROPN
ap-1055	75	223	�	�	PROPN
ap-1055	75	224	1	1	NUM
ap-1055	75	225	2	2	NUM
ap-1055	75	226	1	1	NUM
ap-1055	75	227	2	2	NUM
ap-1055	75	228	.	.	PUNCT
ap-1055	76	1	this	this	DET
ap-1055	76	2	step	step	NOUN
ap-1055	76	3	must	must	AUX
ap-1055	76	4	be	be	AUX
ap-1055	76	5	made	make	VERB
ap-1055	76	6	numerically	numerically	ADV
ap-1055	76	7	because	because	SCONJ
ap-1055	76	8	equation	equation	NOUN
ap-1055	76	9	(	(	PUNCT
ap-1055	76	10	16	16	NUM
ap-1055	76	11	)	)	PUNCT
ap-1055	76	12	is	be	AUX
ap-1055	76	13	non	non	ADJ
ap-1055	76	14	-	-	ADJ
ap-1055	76	15	linear	linear	ADJ
ap-1055	76	16	.	.	PUNCT
ap-1055	77	1	4	4	X
ap-1055	77	2	.	.	X
ap-1055	77	3	the	the	DET
ap-1055	77	4	above	above	ADJ
ap-1055	77	5	described	describe	VERB
ap-1055	77	6	procedure	procedure	NOUN
ap-1055	77	7	can	can	AUX
ap-1055	77	8	be	be	AUX
ap-1055	77	9	extended	extend	VERB
ap-1055	77	10	to	to	ADP
ap-1055	77	11	a	a	DET
ap-1055	77	12	general	general	ADJ
ap-1055	77	13	n	n	CCONJ
ap-1055	77	14	-	-	PUNCT
ap-1055	77	15	step	step	NOUN
ap-1055	77	16	,	,	PUNCT
ap-1055	77	17	where	where	SCONJ
ap-1055	77	18	the	the	DET
ap-1055	77	19	unknown	unknown	ADJ
ap-1055	77	20	angle	angle	NOUN
ap-1055	77	21	�	�	PROPN
ap-1055	77	22	�	�	PROPN
ap-1055	77	23	n	n	PART
ap-1055	77	24	is	be	AUX
ap-1055	77	25	assumed	assume	VERB
ap-1055	77	26	to	to	PART
ap-1055	77	27	be	be	AUX
ap-1055	77	28	numerically	numerically	ADV
ap-1055	77	29	computed	compute	VERB
ap-1055	77	30	from	from	ADP
ap-1055	77	31	the	the	DET
ap-1055	77	32	following	follow	VERB
ap-1055	77	33	equation	equation	NOUN
ap-1055	77	34	:	:	PUNCT
ap-1055	77	35	�	�	PROPN
ap-1055	77	36	cos	cos	PROPN
ap-1055	77	37	(	(	PUNCT
ap-1055	77	38	�	�	PROPN
ap-1055	77	39	�	�	PROPN
ap-1055	77	40	)	)	PUNCT
ap-1055	77	41	�	�	PROPN
ap-1055	77	42	cos	cos	PROPN
ap-1055	77	43	(	(	PUNCT
ap-1055	77	44	�	�	PROPN
ap-1055	77	45	�	�	PROPN
ap-1055	77	46	,	,	PUNCT
ap-1055	77	47	,	,	PUNCT
ap-1055	77	48	,	,	PUNCT
ap-1055	77	49	,	,	PUNCT
ap-1055	77	50	,	,	PUNCT
ap-1055	77	51	,	,	PUNCT
ap-1055	77	52	�	�	PROPN
ap-1055	77	53	�	�	PROPN
ap-1055	77	54	�	�	PROPN
ap-1055	77	55	�	�	PROPN
ap-1055	77	56	�	�	PROPN
ap-1055	77	57	�	�	PROPN
ap-1055	77	58	12	12	NUM
ap-1055	77	59	1	1	NUM
ap-1055	77	60	12	12	NUM
ap-1055	77	61	1	1	NUM
ap-1055	77	62	1	1	NUM
ap-1055	77	63	�	�	PROPN
ap-1055	77	64	�	�	PROPN
ap-1055	77	65	n	n	CCONJ
ap-1055	77	66	n	n	CCONJ
ap-1055	77	67	n	n	CCONJ
ap-1055	77	68	n	n	CCONJ
ap-1055	77	69	n	n	CCONJ
ap-1055	77	70	n	n	CCONJ
ap-1055	77	71	�	�	PROPN
ap-1055	77	72	�	�	PROPN
ap-1055	77	73	�	�	PROPN
ap-1055	77	74	�	�	PROPN
ap-1055	77	75	�	�	PROPN
ap-1055	77	76	�	�	PROPN
ap-1055	77	77	�	�	PROPN
ap-1055	77	78	�	�	PROPN
ap-1055	77	79	�	�	PROPN
ap-1055	77	80	�	�	PROPN
ap-1055	78	1	1	1	NUM
ap-1055	78	2	2	2	NUM
ap-1055	78	3	2	2	NUM
ap-1055	78	4	2	2	NUM
ap-1055	78	5	2	2	NUM
ap-1055	78	6	1	1	NUM
ap-1055	78	7	)	)	PUNCT
ap-1055	78	8	�	�	PROPN
ap-1055	78	9	cos	cos	PROPN
ap-1055	78	10	(	(	PUNCT
ap-1055	78	11	�	�	PROPN
ap-1055	78	12	�	�	PROPN
ap-1055	78	13	)	)	PUNCT
ap-1055	78	14	�	�	PROPN
ap-1055	78	15	cos	cos	PROPN
ap-1055	78	16	(	(	PUNCT
ap-1055	78	17	�	�	PROPN
ap-1055	78	18	�	�	PROPN
ap-1055	78	19	)	)	PUNCT
ap-1055	78	20	�	�	PROPN
ap-1055	78	21	co	co	ADJ
ap-1055	78	22	�	�	PROPN
ap-1055	78	23	�	�	PROPN
ap-1055	78	24	�	�	PROPN
ap-1055	78	25	�	�	PROPN
ap-1055	78	26	�	�	PROPN
ap-1055	78	27	�	�	PROPN
ap-1055	78	28	�	�	PROPN
ap-1055	78	29	n	n	CCONJ
ap-1055	78	30	n	n	CCONJ
ap-1055	78	31	n	n	CCONJ
ap-1055	78	32	n	n	CCONJ
ap-1055	78	33	�	�	PROPN
ap-1055	78	34	s	s	PART
ap-1055	78	35	(	(	PUNCT
ap-1055	78	36	�	�	PROPN
ap-1055	78	37	�	�	PROPN
ap-1055	78	38	)	)	PUNCT
ap-1055	78	39	�	�	PROPN
ap-1055	78	40	�	�	PROPN
ap-1055	78	41	n	n	ADV
ap-1055	78	42	1	1	NUM
ap-1055	78	43	(	(	PUNCT
ap-1055	78	44	17	17	NUM
ap-1055	78	45	)	)	PUNCT
ap-1055	79	1	under	under	ADP
ap-1055	79	2	knowledge	knowledge	NOUN
ap-1055	79	3	of	of	ADP
ap-1055	79	4	the	the	DET
ap-1055	79	5	estimated	estimate	VERB
ap-1055	79	6	parameters	parameter	NOUN
ap-1055	79	7	�	�	PROPN
ap-1055	79	8	,	,	PUNCT
ap-1055	79	9	,	,	PUNCT
ap-1055	79	10	�	�	PROPN
ap-1055	79	11	1	1	NUM
ap-1055	79	12	�	�	PROPN
ap-1055	79	13	�	�	PROPN
ap-1055	79	14	,	,	PUNCT
ap-1055	79	15	�	�	PROPN
ap-1055	79	16	,	,	PUNCT
ap-1055	79	17	�	�	PROPN
ap-1055	79	18	,	,	PUNCT
ap-1055	79	19	�	�	PROPN
ap-1055	79	20	,	,	PUNCT
ap-1055	79	21	,	,	PUNCT
ap-1055	79	22	�	�	PROPN
ap-1055	79	23	,	,	PUNCT
ap-1055	79	24	�	�	PROPN
ap-1055	79	25	,	,	PUNCT
ap-1055	79	26	,	,	PUNCT
ap-1055	79	27	,	,	PUNCT
ap-1055	79	28	,	,	PUNCT
ap-1055	79	29	,	,	PUNCT
ap-1055	79	30	,	,	PUNCT
ap-1055	79	31	�	�	PROPN
ap-1055	79	32	�	�	PROPN
ap-1055	79	33	�	�	PROPN
ap-1055	79	34	�	�	PROPN
ap-1055	79	35	�	�	PROPN
ap-1055	79	36	�	�	PROPN
ap-1055	79	37	n	n	CCONJ
ap-1055	79	38	n	n	CCONJ
ap-1055	79	39	n	n	CCONJ
ap-1055	79	40	n	n	ADV
ap-1055	79	41	1	1	NUM
ap-1055	79	42	1	1	NUM
ap-1055	79	43	2	2	NUM
ap-1055	79	44	1	1	NUM
ap-1055	79	45	1	1	NUM
ap-1055	79	46	1	1	NUM
ap-1055	79	47	1	1	NUM
ap-1055	79	48	1	1	NUM
ap-1055	79	49	2	2	NUM
ap-1055	79	50	1	1	NUM
ap-1055	79	51	�	�	PROPN
ap-1055	79	52	�	�	PROPN
ap-1055	79	53	�	�	PROPN
ap-1055	79	54	.	.	PUNCT
ap-1055	80	1	fortunately	fortunately	ADV
ap-1055	80	2	,	,	PUNCT
ap-1055	80	3	for	for	ADP
ap-1055	80	4	binary	binary	ADJ
ap-1055	80	5	time	time	NOUN
ap-1055	80	6	series	series	NOUN
ap-1055	80	7	we	we	PRON
ap-1055	80	8	need	need	VERB
ap-1055	80	9	only	only	ADJ
ap-1055	80	10	step	step	NOUN
ap-1055	80	11	1	1	NUM
ap-1055	80	12	and	and	CCONJ
ap-1055	80	13	2	2	NUM
ap-1055	80	14	,	,	PUNCT
ap-1055	80	15	and	and	CCONJ
ap-1055	80	16	the	the	DET
ap-1055	80	17	result	result	NOUN
ap-1055	80	18	can	can	AUX
ap-1055	80	19	be	be	AUX
ap-1055	80	20	given	give	VERB
ap-1055	80	21	analytically	analytically	ADV
ap-1055	80	22	.	.	PUNCT
ap-1055	81	1	5	5	NUM
ap-1055	81	2	wave	wave	NOUN
ap-1055	81	3	probabilistic	probabilistic	ADJ
ap-1055	81	4	model	model	NOUN
ap-1055	81	5	of	of	ADP
ap-1055	81	6	non	non	ADJ
ap-1055	81	7	-	-	ADJ
ap-1055	81	8	ergodic	ergodic	ADJ
ap-1055	81	9	binary	binary	ADJ
ap-1055	81	10	time	time	NOUN
ap-1055	81	11	series	series	PROPN
ap-1055	81	12	we	we	PRON
ap-1055	81	13	start	start	VERB
ap-1055	81	14	our	our	PRON
ap-1055	81	15	discussion	discussion	NOUN
ap-1055	81	16	with	with	ADP
ap-1055	81	17	probabilistic	probabilistic	ADJ
ap-1055	81	18	binary	binary	ADJ
ap-1055	81	19	time	time	NOUN
ap-1055	81	20	series	series	NOUN
ap-1055	81	21	,	,	PUNCT
ap-1055	81	22	and	and	CCONJ
ap-1055	81	23	we	we	PRON
ap-1055	81	24	will	will	AUX
ap-1055	81	25	show	show	VERB
ap-1055	81	26	models	model	NOUN
ap-1055	81	27	of	of	ADP
ap-1055	81	28	the	the	DET
ap-1055	81	29	occurrence	occurrence	NOUN
ap-1055	81	30	of	of	ADP
ap-1055	81	31	zero	zero	NUM
ap-1055	81	32	or	or	CCONJ
ap-1055	81	33	one	one	NUM
ap-1055	81	34	(	(	PUNCT
ap-1055	81	35	probability	probability	NOUN
ap-1055	81	36	and	and	CCONJ
ap-1055	81	37	structure	structure	NOUN
ap-1055	81	38	)	)	PUNCT
ap-1055	81	39	in	in	ADP
ap-1055	81	40	the	the	DET
ap-1055	81	41	form	form	NOUN
ap-1055	81	42	of	of	ADP
ap-1055	81	43	wave	wave	NOUN
ap-1055	81	44	probabilistic	probabilistic	ADJ
ap-1055	81	45	functions	function	NOUN
ap-1055	81	46	.	.	PUNCT
ap-1055	82	1	let	let	VERB
ap-1055	82	2	us	we	PRON
ap-1055	82	3	define	define	VERB
ap-1055	82	4	the	the	DET
ap-1055	82	5	binary	binary	ADJ
ap-1055	82	6	quantum	quantum	ADJ
ap-1055	82	7	object	object	NOUN
ap-1055	82	8	in	in	ADP
ap-1055	82	9	“	"	PUNCT
ap-1055	82	10	bra	bra	NOUN
ap-1055	82	11	-	-	PUNCT
ap-1055	82	12	ket	ket	NOUN
ap-1055	82	13	”	"	PUNCT
ap-1055	82	14	form	form	NOUN
ap-1055	82	15	[	[	X
ap-1055	82	16	17	17	NUM
ap-1055	82	17	]	]	X
ap-1055	82	18	:	:	PUNCT
ap-1055	82	19	�	�	PROPN
ap-1055	82	20	�	�	PROPN
ap-1055	82	21	�	�	PROPN
ap-1055	82	22	�	�	PROPN
ap-1055	82	23	�	�	PROPN
ap-1055	82	24	�	�	PROPN
ap-1055	82	25	�	�	PROPN
ap-1055	82	26	�	�	PROPN
ap-1055	82	27	�	�	PROPN
ap-1055	82	28	�	�	PROPN
ap-1055	82	29	1	1	NUM
ap-1055	82	30	0	0	NUM
ap-1055	82	31	1p	1p	PROPN
ap-1055	82	32	p	p	PROPN
ap-1055	82	33	je	je	PROPN
ap-1055	82	34	.	.	PUNCT
ap-1055	83	1	(	(	PUNCT
ap-1055	83	2	18	18	NUM
ap-1055	83	3	)	)	PUNCT
ap-1055	83	4	parameter	parameter	NOUN
ap-1055	83	5	p	p	NOUN
ap-1055	83	6	defines	define	VERB
ap-1055	83	7	the	the	DET
ap-1055	83	8	probability	probability	NOUN
ap-1055	83	9	of	of	ADP
ap-1055	83	10	occurrence	occurrence	NOUN
ap-1055	83	11	of	of	ADP
ap-1055	83	12	state	state	NOUN
ap-1055	83	13	1	1	NUM
ap-1055	83	14	�	�	PROPN
ap-1055	83	15	of	of	ADP
ap-1055	83	16	time	time	NOUN
ap-1055	83	17	series	series	PROPN
ap-1055	83	18	position	position	PROPN
ap-1055	83	19	�	�	PROPN
ap-1055	83	20	.	.	PUNCT
ap-1055	84	1	the	the	DET
ap-1055	84	2	probability	probability	NOUN
ap-1055	84	3	of	of	ADP
ap-1055	84	4	occurrence	occurrence	NOUN
ap-1055	84	5	of	of	ADP
ap-1055	84	6	a	a	DET
ap-1055	84	7	state	state	NOUN
ap-1055	84	8	0	0	NUM
ap-1055	84	9	�	�	PROPN
ap-1055	84	10	must	must	AUX
ap-1055	84	11	be	be	AUX
ap-1055	84	12	(	(	PUNCT
ap-1055	84	13	1	1	NUM
ap-1055	84	14	p	p	NOUN
ap-1055	84	15	)	)	PUNCT
ap-1055	84	16	.	.	PUNCT
ap-1055	85	1	phase	phase	NOUN
ap-1055	85	2	�	�	PROPN
ap-1055	85	3	plays	play	VERB
ap-1055	85	4	the	the	DET
ap-1055	85	5	role	role	NOUN
ap-1055	85	6	of	of	ADP
ap-1055	85	7	“	"	PUNCT
ap-1055	85	8	structural	structural	ADJ
ap-1055	85	9	”	"	PUNCT
ap-1055	85	10	parameter	parameter	NOUN
ap-1055	85	11	that	that	PRON
ap-1055	85	12	expresses	express	VERB
ap-1055	85	13	the	the	DET
ap-1055	85	14	rate	rate	NOUN
ap-1055	85	15	of	of	ADP
ap-1055	85	16	time	time	NOUN
ap-1055	85	17	series	series	NOUN
ap-1055	85	18	randomness	randomness	NOUN
ap-1055	85	19	[	[	X
ap-1055	85	20	16	16	NUM
ap-1055	85	21	]	]	PUNCT
ap-1055	85	22	.	.	PUNCT
ap-1055	86	1	the	the	DET
ap-1055	86	2	ergodic	ergodic	ADJ
ap-1055	86	3	theorem	theorem	NOUN
ap-1055	86	4	allows	allow	VERB
ap-1055	86	5	the	the	DET
ap-1055	86	6	time	time	NOUN
ap-1055	86	7	average	average	NOUN
ap-1055	86	8	of	of	ADP
ap-1055	86	9	a	a	DET
ap-1055	86	10	conforming	conform	VERB
ap-1055	86	11	process	process	NOUN
ap-1055	86	12	to	to	PART
ap-1055	86	13	equal	equal	VERB
ap-1055	86	14	the	the	DET
ap-1055	86	15	ensemble	ensemble	ADJ
ap-1055	86	16	average	average	NOUN
ap-1055	86	17	.	.	PUNCT
ap-1055	87	1	in	in	ADP
ap-1055	87	2	practice	practice	NOUN
ap-1055	87	3	,	,	PUNCT
ap-1055	87	4	this	this	PRON
ap-1055	87	5	means	mean	VERB
ap-1055	87	6	that	that	SCONJ
ap-1055	87	7	statistical	statistical	ADJ
ap-1055	87	8	sampling	sampling	NOUN
ap-1055	87	9	can	can	AUX
ap-1055	87	10	be	be	AUX
ap-1055	87	11	performed	perform	VERB
ap-1055	87	12	at	at	ADP
ap-1055	87	13	one	one	NUM
ap-1055	87	14	instant	instant	NOUN
ap-1055	87	15	across	across	ADP
ap-1055	87	16	a	a	DET
ap-1055	87	17	group	group	NOUN
ap-1055	87	18	of	of	ADP
ap-1055	87	19	identical	identical	ADJ
ap-1055	87	20	processes	process	NOUN
ap-1055	87	21	or	or	CCONJ
ap-1055	87	22	sampled	sample	VERB
ap-1055	87	23	over	over	ADP
ap-1055	87	24	time	time	NOUN
ap-1055	87	25	on	on	ADP
ap-1055	87	26	a	a	DET
ap-1055	87	27	single	single	ADJ
ap-1055	87	28	process	process	NOUN
ap-1055	87	29	with	with	ADP
ap-1055	87	30	no	no	DET
ap-1055	87	31	change	change	NOUN
ap-1055	87	32	in	in	ADP
ap-1055	87	33	the	the	DET
ap-1055	87	34	measured	measured	ADJ
ap-1055	87	35	result	result	NOUN
ap-1055	87	36	.	.	PUNCT
ap-1055	88	1	quantum	quantum	ADJ
ap-1055	88	2	objects	object	NOUN
ap-1055	88	3	defined	define	VERB
ap-1055	88	4	in	in	ADP
ap-1055	88	5	(	(	PUNCT
ap-1055	88	6	18	18	NUM
ap-1055	88	7	)	)	PUNCT
ap-1055	88	8	fulfill	fulfill	NOUN
ap-1055	88	9	the	the	DET
ap-1055	88	10	ergodic	ergodic	ADJ
ap-1055	88	11	theorem	theorem	NOUN
ap-1055	88	12	,	,	PUNCT
ap-1055	88	13	because	because	SCONJ
ap-1055	88	14	the	the	DET
ap-1055	88	15	time	time	NOUN
ap-1055	88	16	average	average	NOUN
ap-1055	88	17	of	of	ADP
ap-1055	88	18	a	a	DET
ap-1055	88	19	series	series	NOUN
ap-1055	88	20	along	along	ADP
ap-1055	88	21	the	the	DET
ap-1055	88	22	time	time	NOUN
ap-1055	88	23	trajectories	trajectory	NOUN
ap-1055	88	24	exists	exist	VERB
ap-1055	88	25	almost	almost	ADV
ap-1055	88	26	everywhere	everywhere	ADV
ap-1055	88	27	and	and	CCONJ
ap-1055	88	28	is	be	AUX
ap-1055	88	29	related	relate	VERB
ap-1055	88	30	to	to	ADP
ap-1055	88	31	the	the	DET
ap-1055	88	32	space	space	NOUN
ap-1055	88	33	(	(	PUNCT
ap-1055	88	34	set	set	NOUN
ap-1055	88	35	of	of	ADP
ap-1055	88	36	realizations	realization	NOUN
ap-1055	88	37	)	)	PUNCT
ap-1055	88	38	average	average	NOUN
ap-1055	88	39	:	:	PUNCT
ap-1055	88	40	e	e	X
ap-1055	88	41	d	d	PROPN
ap-1055	88	42	�	�	PROPN
ap-1055	88	43	�	�	PROPN
ap-1055	88	44	�	�	PROPN
ap-1055	88	45	�	�	PROPN
ap-1055	88	46	�	�	PROPN
ap-1055	88	47	�	�	PROPN
ap-1055	88	48	�	�	PROPN
ap-1055	88	49	�	�	PROPN
ap-1055	88	50	�	�	PROPN
ap-1055	88	51	�	�	PROPN
ap-1055	88	52	�	�	PROPN
ap-1055	88	53	�	�	PROPN
ap-1055	88	54	�	�	PROPN
ap-1055	88	55	�	�	PROPN
ap-1055	88	56	�	�	PROPN
ap-1055	88	57	�	�	PROPN
ap-1055	88	58	,	,	PUNCT
ap-1055	88	59	(	(	PUNCT
ap-1055	88	60	)	)	PUNCT
ap-1055	88	61	lim	lim	PROPN
ap-1055	88	62	,	,	PUNCT
ap-1055	88	63	,	,	PUNCT
ap-1055	88	64	t	t	PROPN
ap-1055	88	65	t	t	PROPN
ap-1055	88	66	t	t	PROPN
ap-1055	88	67	nn	nn	PROPN
ap-1055	88	68	n	n	PROPN
ap-1055	88	69	1	1	NUM
ap-1055	88	70	�	�	PROPN
ap-1055	88	71	,	,	PUNCT
ap-1055	88	72	(	(	PUNCT
ap-1055	88	73	19	19	NUM
ap-1055	88	74	)	)	PUNCT
ap-1055	88	75	wheree	wheree	NOUN
ap-1055	88	76	�	�	PROPN
ap-1055	88	77	is	be	AUX
ap-1055	88	78	the	the	DET
ap-1055	88	79	mean	mean	ADJ
ap-1055	88	80	value	value	NOUN
ap-1055	88	81	of	of	ADP
ap-1055	88	82	a	a	DET
ap-1055	88	83	stochastic	stochastic	ADJ
ap-1055	88	84	process	process	NOUN
ap-1055	88	85	and	and	CCONJ
ap-1055	88	86	�	�	PROPN
ap-1055	88	87	(	(	PUNCT
ap-1055	88	88	�	�	PROPN
ap-1055	88	89	)	)	PUNCT
ap-1055	88	90	is	be	AUX
ap-1055	88	91	a	a	DET
ap-1055	88	92	probability	probability	NOUN
ap-1055	88	93	measure	measure	NOUN
ap-1055	88	94	.	.	PUNCT
ap-1055	89	1	the	the	DET
ap-1055	89	2	first	first	ADJ
ap-1055	89	3	part	part	NOUN
ap-1055	89	4	of	of	ADP
ap-1055	89	5	(	(	PUNCT
ap-1055	89	6	19	19	NUM
ap-1055	89	7	)	)	PUNCT
ap-1055	89	8	is	be	AUX
ap-1055	89	9	the	the	DET
ap-1055	89	10	�	�	NOUN
ap-1055	89	11	-ensemble	-ensemble	ADJ
ap-1055	89	12	average	average	NOUN
ap-1055	89	13	,	,	PUNCT
ap-1055	89	14	which	which	PRON
ap-1055	89	15	does	do	AUX
ap-1055	89	16	not	not	PART
ap-1055	89	17	depend	depend	VERB
ap-1055	89	18	on	on	ADP
ap-1055	89	19	time	time	NOUN
ap-1055	89	20	t	t	PROPN
ap-1055	89	21	and	and	CCONJ
ap-1055	89	22	so	so	ADV
ap-1055	89	23	the	the	DET
ap-1055	89	24	process	process	NOUN
ap-1055	89	25	is	be	AUX
ap-1055	89	26	stationary	stationary	ADJ
ap-1055	89	27	.	.	PUNCT
ap-1055	90	1	the	the	DET
ap-1055	90	2	second	second	ADJ
ap-1055	90	3	part	part	NOUN
ap-1055	90	4	of	of	ADP
ap-1055	90	5	(	(	PUNCT
ap-1055	90	6	19	19	NUM
ap-1055	90	7	)	)	PUNCT
ap-1055	90	8	is	be	AUX
ap-1055	90	9	the	the	DET
ap-1055	90	10	time	time	NOUN
ap-1055	90	11	-	-	PUNCT
ap-1055	90	12	average	average	NOUN
ap-1055	90	13	of	of	ADP
ap-1055	90	14	quantum	quantum	ADJ
ap-1055	90	15	objects	object	NOUN
ap-1055	90	16	�	�	PROPN
ap-1055	90	17	�	�	PROPN
ap-1055	90	18	�	�	PROPN
ap-1055	90	19	�	�	PROPN
ap-1055	90	20	,	,	PUNCT
ap-1055	90	21	,	,	PUNCT
ap-1055	90	22	t	t	PROPN
ap-1055	90	23	tn1	tn1	NOUN
ap-1055	90	24	�	�	PROPN
ap-1055	90	25	�	�	PROPN
ap-1055	90	26	�	�	PROPN
ap-1055	90	27	with	with	ADP
ap-1055	90	28	respect	respect	NOUN
ap-1055	90	29	to	to	ADP
ap-1055	90	30	selected	select	VERB
ap-1055	90	31	process	process	NOUN
ap-1055	90	32	realization	realization	NOUN
ap-1055	90	33	�	�	PROPN
ap-1055	90	34	.	.	PUNCT
ap-1055	91	1	if	if	SCONJ
ap-1055	91	2	the	the	DET
ap-1055	91	3	complex	complex	ADJ
ap-1055	91	4	parameters	parameter	NOUN
ap-1055	91	5	of	of	ADP
ap-1055	91	6	the	the	DET
ap-1055	91	7	“	"	PUNCT
ap-1055	91	8	bra	bra	NOUN
ap-1055	91	9	-	-	PUNCT
ap-1055	91	10	ket	ket	NOUN
ap-1055	91	11	”	"	PUNCT
ap-1055	91	12	model	model	NOUN
ap-1055	91	13	are	be	AUX
ap-1055	91	14	time	time	NOUN
ap-1055	91	15	dependent	dependent	ADJ
ap-1055	91	16	we	we	PRON
ap-1055	91	17	speak	speak	VERB
ap-1055	91	18	of	of	ADP
ap-1055	91	19	a	a	DET
ap-1055	91	20	non	non	ADJ
ap-1055	91	21	-	-	ADJ
ap-1055	91	22	ergodic	ergodic	ADJ
ap-1055	91	23	probabilistic	probabilistic	ADJ
ap-1055	91	24	binary	binary	ADJ
ap-1055	91	25	process	process	NOUN
ap-1055	91	26	.	.	PUNCT
ap-1055	92	1	since	since	SCONJ
ap-1055	92	2	non	non	ADJ
ap-1055	92	3	-	-	ADJ
ap-1055	92	4	ergodic	ergodic	ADJ
ap-1055	92	5	processes	process	NOUN
ap-1055	92	6	are	be	AUX
ap-1055	92	7	very	very	ADV
ap-1055	92	8	difficult	difficult	ADJ
ap-1055	92	9	to	to	PART
ap-1055	92	10	model	model	VERB
ap-1055	92	11	we	we	PRON
ap-1055	92	12	will	will	AUX
ap-1055	92	13	ease	ease	VERB
ap-1055	92	14	our	our	PRON
ap-1055	92	15	requirements	requirement	NOUN
ap-1055	92	16	only	only	ADV
ap-1055	92	17	to	to	ADP
ap-1055	92	18	a	a	DET
ap-1055	92	19	special	special	ADJ
ap-1055	92	20	class	class	NOUN
ap-1055	92	21	of	of	ADP
ap-1055	92	22	quasi	quasi	ADJ
ap-1055	92	23	-	-	ADJ
ap-1055	92	24	non	non	ADJ
ap-1055	92	25	-	-	ADJ
ap-1055	92	26	ergodic	ergodic	ADJ
ap-1055	92	27	processes	process	NOUN
ap-1055	92	28	.	.	PUNCT
ap-1055	93	1	quasi	quasi	ADJ
ap-1055	93	2	-	-	ADJ
ap-1055	93	3	non	non	ADJ
ap-1055	93	4	-	-	ADJ
ap-1055	93	5	ergodic	ergodic	ADJ
ap-1055	93	6	processes	process	NOUN
ap-1055	93	7	are	be	AUX
ap-1055	93	8	characterized	characterize	VERB
ap-1055	93	9	by	by	ADP
ap-1055	93	10	linear	linear	ADJ
ap-1055	93	11	time	time	NOUN
ap-1055	93	12	invariant	invariant	ADJ
ap-1055	93	13	(	(	PUNCT
ap-1055	93	14	lti	lti	PROPN
ap-1055	93	15	)	)	PUNCT
ap-1055	93	16	evolution	evolution	NOUN
ap-1055	93	17	of	of	ADP
ap-1055	93	18	complex	complex	ADJ
ap-1055	93	19	wave	wave	NOUN
ap-1055	93	20	functions	function	NOUN
ap-1055	93	21	�	�	PROPN
ap-1055	93	22	(	(	PUNCT
ap-1055	93	23	,	,	PUNCT
ap-1055	93	24	)	)	PUNCT
ap-1055	93	25	a	a	PRON
ap-1055	94	1	i	i	PRON
ap-1055	94	2	t	t	PROPN
ap-1055	94	3	assigned	assign	VERB
ap-1055	94	4	into	into	ADP
ap-1055	94	5	states	state	NOUN
ap-1055	94	6	a	a	DET
ap-1055	94	7	i	i	PROPN
ap-1055	94	8	�	�	PROPN
ap-1055	94	9	in	in	ADP
ap-1055	94	10	time	time	NOUN
ap-1055	94	11	interval	interval	NOUN
ap-1055	94	12	t	t	PROPN
ap-1055	94	13	and	and	CCONJ
ap-1055	94	14	position	position	NOUN
ap-1055	94	15	�	�	PROPN
ap-1055	94	16	.	.	PUNCT
ap-1055	95	1	if	if	SCONJ
ap-1055	95	2	we	we	PRON
ap-1055	95	3	add	add	VERB
ap-1055	95	4	the	the	DET
ap-1055	95	5	time	time	NOUN
ap-1055	95	6	varying	vary	VERB
ap-1055	95	7	phase	phase	NOUN
ap-1055	95	8	parameter	parameter	NOUN
ap-1055	95	9	into	into	ADP
ap-1055	95	10	a	a	DET
ap-1055	95	11	binary	binary	ADJ
ap-1055	95	12	process	process	NOUN
ap-1055	95	13	we	we	PRON
ap-1055	95	14	can	can	AUX
ap-1055	95	15	rewrite	rewrite	VERB
ap-1055	95	16	“	"	PUNCT
ap-1055	95	17	bra	bra	NOUN
ap-1055	95	18	-	-	PUNCT
ap-1055	95	19	ket	ket	NOUN
ap-1055	95	20	”	"	PUNCT
ap-1055	95	21	objects	object	NOUN
ap-1055	95	22	(	(	PUNCT
ap-1055	95	23	18	18	NUM
ap-1055	95	24	)	)	PUNCT
ap-1055	95	25	as	as	SCONJ
ap-1055	95	26	follows	follow	VERB
ap-1055	95	27	:	:	PUNCT
ap-1055	95	28	�	�	PROPN
ap-1055	95	29	�	�	PROPN
ap-1055	95	30	�	�	PROPN
ap-1055	95	31	�	�	PROPN
ap-1055	95	32	�	�	PROPN
ap-1055	95	33	�	�	PROPN
ap-1055	95	34	�	�	PROPN
ap-1055	95	35	,	,	PUNCT
ap-1055	95	36	(	(	PUNCT
ap-1055	95	37	)	)	PUNCT
ap-1055	95	38	t	t	PROPN
ap-1055	95	39	j	j	PROPN
ap-1055	95	40	j	j	PROPN
ap-1055	95	41	t	t	PROPN
ap-1055	95	42	j	j	PROPN
ap-1055	95	43	t	t	PROPN
ap-1055	95	44	�	�	PROPN
ap-1055	95	45	�	�	PROPN
ap-1055	95	46	�	�	PROPN
ap-1055	95	47	�	�	PROPN
ap-1055	95	48	�	�	PROPN
ap-1055	95	49	�	�	PROPN
ap-1055	95	50	�	�	PROPN
ap-1055	95	51	�	�	PROPN
ap-1055	95	52	�	�	PROPN
ap-1055	95	53	�	�	PROPN
ap-1055	95	54	�	�	PROPN
ap-1055	95	55	�	�	PROPN
ap-1055	95	56	1	1	NUM
ap-1055	95	57	0	0	NUM
ap-1055	95	58	1	1	NUM
ap-1055	95	59	1	1	NUM
ap-1055	95	60	0	0	NUM
ap-1055	95	61	1	1	NUM
ap-1055	95	62	a	a	DET
ap-1055	95	63	a	a	DET
ap-1055	95	64	e	e	NOUN
ap-1055	95	65	e	e	X
ap-1055	95	66	a	a	DET
ap-1055	95	67	a	a	DET
ap-1055	95	68	e	e	X
ap-1055	95	69	�	�	PROPN
ap-1055	95	70	,	,	PUNCT
ap-1055	95	71	(	(	PUNCT
ap-1055	95	72	20	20	NUM
ap-1055	95	73	)	)	PUNCT
ap-1055	95	74	where	where	SCONJ
ap-1055	95	75	parameter	parameter	NOUN
ap-1055	95	76	a	a	DET
ap-1055	95	77	defines	define	NOUN
ap-1055	95	78	the	the	DET
ap-1055	95	79	probability	probability	NOUN
ap-1055	95	80	of	of	ADP
ap-1055	95	81	occurrence	occurrence	NOUN
ap-1055	95	82	of	of	ADP
ap-1055	95	83	state	state	NOUN
ap-1055	95	84	1	1	NUM
ap-1055	95	85	�	�	PROPN
ap-1055	95	86	.	.	PUNCT
ap-1055	96	1	parameter	parameter	PROPN
ap-1055	96	2	�	�	PROPN
ap-1055	96	3	expresses	express	VERB
ap-1055	96	4	the	the	DET
ap-1055	96	5	initial	initial	ADJ
ap-1055	96	6	structure	structure	NOUN
ap-1055	96	7	of	of	ADP
ap-1055	96	8	the	the	DET
ap-1055	96	9	studied	study	VERB
ap-1055	96	10	set	set	NOUN
ap-1055	96	11	of	of	ADP
ap-1055	96	12	�	�	NOUN
ap-1055	96	13	-positioned	-positione	VERB
ap-1055	96	14	states	state	NOUN
ap-1055	96	15	.	.	PUNCT
ap-1055	97	1	parameter	parameter	NOUN
ap-1055	97	2	represents	represent	VERB
ap-1055	97	3	the	the	DET
ap-1055	97	4	frequency	frequency	NOUN
ap-1055	97	5	of	of	ADP
ap-1055	97	6	continual	continual	ADJ
ap-1055	97	7	structuring	structuring	NOUN
ap-1055	97	8	and	and	CCONJ
ap-1055	97	9	randomizing	randomize	VERB
ap-1055	97	10	of	of	ADP
ap-1055	97	11	�	�	PROPN
ap-1055	97	12	positioned	position	VERB
ap-1055	97	13	states	state	NOUN
ap-1055	97	14	.	.	PUNCT
ap-1055	98	1	due	due	ADP
ap-1055	98	2	to	to	ADP
ap-1055	98	3	the	the	DET
ap-1055	98	4	time	time	NOUN
ap-1055	98	5	evolution	evolution	NOUN
ap-1055	98	6	of	of	ADP
ap-1055	98	7	complex	complex	ADJ
ap-1055	98	8	parameters	parameter	NOUN
ap-1055	98	9	(	(	PUNCT
ap-1055	98	10	20	20	NUM
ap-1055	98	11	)	)	PUNCT
ap-1055	98	12	the	the	DET
ap-1055	98	13	ergodic	ergodic	ADJ
ap-1055	98	14	condition	condition	NOUN
ap-1055	98	15	is	be	AUX
ap-1055	98	16	not	not	PART
ap-1055	98	17	fulfilled	fulfil	VERB
ap-1055	98	18	.	.	PUNCT
ap-1055	99	1	the	the	DET
ap-1055	99	2	parameters	parameter	NOUN
ap-1055	99	3	for	for	ADP
ap-1055	99	4	state	state	NOUN
ap-1055	99	5	0	0	NUM
ap-1055	99	6	�	�	PROPN
ap-1055	99	7	can	can	AUX
ap-1055	99	8	easily	easily	ADV
ap-1055	99	9	be	be	AUX
ap-1055	99	10	computed	compute	VERB
ap-1055	99	11	from	from	ADP
ap-1055	99	12	the	the	DET
ap-1055	99	13	parameters	parameter	NOUN
ap-1055	99	14	assigned	assign	VERB
ap-1055	99	15	to	to	ADP
ap-1055	99	16	state	state	NOUN
ap-1055	99	17	1	1	NUM
ap-1055	99	18	�	�	PROPN
ap-1055	99	19	because	because	SCONJ
ap-1055	99	20	a	a	PRON
ap-1055	99	21	must	must	AUX
ap-1055	99	22	be	be	AUX
ap-1055	99	23	maximally	maximally	ADV
ap-1055	99	24	equal	equal	ADJ
ap-1055	99	25	to	to	ADP
ap-1055	99	26	one	one	NUM
ap-1055	99	27	to	to	PART
ap-1055	99	28	be	be	AUX
ap-1055	99	29	a	a	DET
ap-1055	99	30	probability	probability	NOUN
ap-1055	99	31	function	function	NOUN
ap-1055	99	32	and	and	CCONJ
ap-1055	99	33	the	the	DET
ap-1055	99	34	phase	phase	NOUN
ap-1055	99	35	assigned	assign	VERB
ap-1055	99	36	to	to	ADP
ap-1055	99	37	state	state	NOUN
ap-1055	99	38	0	0	NUM
ap-1055	99	39	�	�	PROPN
ap-1055	99	40	is	be	AUX
ap-1055	99	41	assumed	assume	VERB
ap-1055	99	42	to	to	PART
ap-1055	99	43	be	be	AUX
ap-1055	99	44	the	the	DET
ap-1055	99	45	normalized	normalize	VERB
ap-1055	99	46	reference	reference	NOUN
ap-1055	99	47	phase	phase	NOUN
ap-1055	99	48	presented	present	VERB
ap-1055	99	49	in	in	ADP
ap-1055	99	50	theorem	theorem	ADJ
ap-1055	99	51	1	1	NUM
ap-1055	99	52	and	and	CCONJ
ap-1055	99	53	equal	equal	ADJ
ap-1055	99	54	to	to	ADP
ap-1055	99	55	zero	zero	NUM
ap-1055	99	56	.	.	PUNCT
ap-1055	100	1	frequency	frequency	NOUN
ap-1055	100	2	can	can	AUX
ap-1055	100	3	be	be	AUX
ap-1055	100	4	interpreted	interpret	VERB
ap-1055	100	5	as	as	ADP
ap-1055	100	6	the	the	DET
ap-1055	100	7	energy	energy	NOUN
ap-1055	100	8	spent	spend	VERB
ap-1055	100	9	to	to	PART
ap-1055	100	10	“	"	PUNCT
ap-1055	100	11	structure	structure	NOUN
ap-1055	100	12	”	"	PUNCT
ap-1055	100	13	or	or	CCONJ
ap-1055	100	14	“	"	PUNCT
ap-1055	100	15	randomize	randomize	VERB
ap-1055	100	16	”	"	PUNCT
ap-1055	100	17	the	the	DET
ap-1055	100	18	set	set	NOUN
ap-1055	100	19	of	of	ADP
ap-1055	100	20	�	�	PROPN
ap-1055	100	21	-positioned	-positione	VERB
ap-1055	100	22	states	state	NOUN
ap-1055	100	23	with	with	ADP
ap-1055	100	24	respect	respect	NOUN
ap-1055	100	25	to	to	ADP
ap-1055	100	26	chosen	choose	VERB
ap-1055	100	27	frequency	frequency	NOUN
ap-1055	100	28	.	.	PUNCT
ap-1055	101	1	we	we	PRON
ap-1055	101	2	use	use	VERB
ap-1055	101	3	the	the	DET
ap-1055	101	4	notation	notation	NOUN
ap-1055	101	5	a	a	PRON
ap-1055	101	6	,	,	PUNCT
ap-1055	101	7	�	�	PROPN
ap-1055	101	8	as	as	ADP
ap-1055	101	9	modulus	modulus	NOUN
ap-1055	101	10	and	and	CCONJ
ap-1055	101	11	initial	initial	ADJ
ap-1055	101	12	phase	phase	NOUN
ap-1055	101	13	parameters	parameter	NOUN
ap-1055	101	14	assigned	assign	VERB
ap-1055	101	15	to	to	ADP
ap-1055	101	16	frequency	frequency	NOUN
ap-1055	101	17	.	.	PUNCT
ap-1055	102	1	they	they	PRON
ap-1055	102	2	represent	represent	VERB
ap-1055	102	3	the	the	DET
ap-1055	102	4	frequency	frequency	NOUN
ap-1055	102	5	decomposition	decomposition	NOUN
ap-1055	102	6	in	in	ADP
ap-1055	102	7	the	the	DET
ap-1055	102	8	same	same	ADJ
ap-1055	102	9	way	way	NOUN
ap-1055	102	10	as	as	ADP
ap-1055	102	11	the	the	DET
ap-1055	102	12	fourier	fourier	NOUN
ap-1055	102	13	transform	transform	NOUN
ap-1055	102	14	.	.	PUNCT
ap-1055	103	1	equation	equation	NOUN
ap-1055	103	2	(	(	PUNCT
ap-1055	103	3	20	20	NUM
ap-1055	103	4	)	)	PUNCT
ap-1055	103	5	can	can	AUX
ap-1055	103	6	be	be	AUX
ap-1055	103	7	used	use	VERB
ap-1055	103	8	as	as	ADP
ap-1055	103	9	one	one	NUM
ap-1055	103	10	frequency	frequency	NOUN
ap-1055	103	11	com44	com44	NOUN
ap-1055	103	12	©	©	PROPN
ap-1055	103	13	czech	czech	PROPN
ap-1055	103	14	technical	technical	PROPN
ap-1055	103	15	university	university	PROPN
ap-1055	103	16	publishing	publishing	NOUN
ap-1055	103	17	house	house	NOUN
ap-1055	103	18	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-1055	103	19	acta	acta	PROPN
ap-1055	103	20	polytechnica	polytechnica	PROPN
ap-1055	103	21	vol	vol	NOUN
ap-1055	103	22	.	.	PUNCT
ap-1055	104	1	48	48	NUM
ap-1055	104	2	no	no	NOUN
ap-1055	104	3	.	.	PUNCT
ap-1055	105	1	5/2008	5/2008	NOUN
ap-1055	105	2	ponent	ponent	NOUN
ap-1055	105	3	(	(	PUNCT
ap-1055	105	4	modulus	modulus	NOUN
ap-1055	105	5	and	and	CCONJ
ap-1055	105	6	initial	initial	ADJ
ap-1055	105	7	phase	phase	NOUN
ap-1055	105	8	)	)	PUNCT
ap-1055	105	9	of	of	ADP
ap-1055	105	10	a	a	DET
ap-1055	105	11	non	non	ADJ
ap-1055	105	12	-	-	ADJ
ap-1055	105	13	ergodic	ergodic	ADJ
ap-1055	105	14	binary	binary	ADJ
ap-1055	105	15	quantum	quantum	ADJ
ap-1055	105	16	object	object	NOUN
ap-1055	105	17	.	.	PUNCT
ap-1055	106	1	the	the	DET
ap-1055	106	2	general	general	ADJ
ap-1055	106	3	periodic	periodic	ADJ
ap-1055	106	4	non	non	ADJ
ap-1055	106	5	-	-	ADJ
ap-1055	106	6	ergodic	ergodic	ADJ
ap-1055	106	7	behavior	behavior	NOUN
ap-1055	106	8	can	can	AUX
ap-1055	106	9	be	be	AUX
ap-1055	106	10	expressed	express	VERB
ap-1055	106	11	as	as	ADP
ap-1055	106	12	the	the	DET
ap-1055	106	13	sum	sum	NOUN
ap-1055	106	14	of	of	ADP
ap-1055	106	15	different	different	ADJ
ap-1055	106	16	frequency	frequency	NOUN
ap-1055	106	17	components	component	NOUN
ap-1055	106	18	:	:	PUNCT
ap-1055	106	19	�	�	PROPN
ap-1055	106	20	�	�	PROPN
ap-1055	106	21	�	�	PROPN
ap-1055	106	22	�	�	PROPN
ap-1055	106	23	�	�	PROPN
ap-1055	106	24	�	�	PROPN
ap-1055	106	25	�	�	PROPN
ap-1055	106	26	,	,	PUNCT
ap-1055	106	27	(	(	PUNCT
ap-1055	106	28	,	,	PUNCT
ap-1055	106	29	)	)	PUNCT
ap-1055	106	30	(	(	PUNCT
ap-1055	106	31	,	,	PUNCT
ap-1055	106	32	)	)	PUNCT
ap-1055	106	33	(	(	PUNCT
ap-1055	106	34	)	)	PUNCT
ap-1055	106	35	t	t	NOUN
ap-1055	106	36	t	t	PROPN
ap-1055	106	37	t	t	PROPN
ap-1055	107	1	i	i	PRON
ap-1055	107	2	i	i	PRON
ap-1055	108	1	ij	ij	INTJ
ap-1055	108	2	t	t	X
ap-1055	109	1	i	i	PRON
ap-1055	109	2	n	n	PROPN
ap-1055	109	3	�	�	PROPN
ap-1055	109	4	�	�	PROPN
ap-1055	109	5	�	�	PROPN
ap-1055	109	6	�	�	PROPN
ap-1055	109	7	�	�	PROPN
ap-1055	109	8	�	�	PROPN
ap-1055	109	9	�	�	PROPN
ap-1055	109	10	�	�	PROPN
ap-1055	109	11	�	�	PROPN
ap-1055	109	12	�	�	PROPN
ap-1055	109	13	�	�	PROPN
ap-1055	109	14	�	�	PROPN
ap-1055	109	15	0	0	NUM
ap-1055	109	16	0	0	NUM
ap-1055	109	17	1	1	NUM
ap-1055	109	18	1	1	NUM
ap-1055	109	19	1	1	NUM
ap-1055	109	20	1	1	NUM
ap-1055	109	21	a	a	DET
ap-1055	109	22	e	e	X
ap-1055	109	23	�	�	PROPN
ap-1055	109	24	�	�	PROPN
ap-1055	109	25	�	�	PROPN
ap-1055	109	26	�	�	PROPN
ap-1055	109	27	�	�	PROPN
ap-1055	109	28	�	�	PROPN
ap-1055	109	29	�	�	PROPN
ap-1055	109	30	�	�	PROPN
ap-1055	109	31	�	�	PROPN
ap-1055	109	32	�	�	PROPN
ap-1055	109	33	�	�	PROPN
ap-1055	109	34	�	�	PROPN
ap-1055	109	35	�	�	PROPN
ap-1055	109	36	�	�	PROPN
ap-1055	109	37	2	2	NUM
ap-1055	109	38	1	1	NUM
ap-1055	109	39	0	0	NUM
ap-1055	109	40	1	1	NUM
ap-1055	109	41	�	�	PROPN
ap-1055	109	42	�	�	PROPN
ap-1055	109	43	�	�	PROPN
ap-1055	109	44	a	a	DET
ap-1055	109	45	e	e	NOUN
ap-1055	109	46	i	i	PRON
ap-1055	109	47	i	i	PRON
ap-1055	110	1	ij	ij	INTJ
ap-1055	110	2	t	t	X
ap-1055	111	1	i	i	PRON
ap-1055	111	2	n	n	PROPN
ap-1055	111	3	(	(	PUNCT
ap-1055	111	4	)	)	PUNCT
ap-1055	111	5	,	,	PUNCT
ap-1055	111	6	(	(	PUNCT
ap-1055	111	7	21	21	NUM
ap-1055	111	8	)	)	PUNCT
ap-1055	111	9	where	where	SCONJ
ap-1055	111	10	the	the	DET
ap-1055	111	11	final	final	ADJ
ap-1055	111	12	modulus	modulus	NOUN
ap-1055	111	13	and	and	CCONJ
ap-1055	111	14	phase	phase	NOUN
ap-1055	111	15	assigned	assign	VERB
ap-1055	111	16	to	to	ADP
ap-1055	111	17	state	state	NOUN
ap-1055	111	18	1	1	NUM
ap-1055	111	19	�	�	NOUN
ap-1055	111	20	are	be	AUX
ap-1055	111	21	:	:	PUNCT
ap-1055	111	22	a	a	DET
ap-1055	111	23	e	e	NOUN
ap-1055	111	24	a	a	DET
ap-1055	111	25	e	e	PROPN
ap-1055	111	26	�	�	PROPN
ap-1055	111	27	�	�	PROPN
ap-1055	111	28	�	�	PROPN
ap-1055	112	1	i	i	PRON
ap-1055	112	2	i	i	PRON
ap-1055	113	1	ij	ij	VERB
ap-1055	113	2	t	t	X
ap-1055	114	1	i	i	PRON
ap-1055	114	2	n	n	PROPN
ap-1055	114	3	j	j	PROPN
ap-1055	114	4	tt	tt	PROPN
ap-1055	114	5	�	�	PROPN
ap-1055	114	6	�	�	PROPN
ap-1055	114	7	�	�	PROPN
ap-1055	114	8	�	�	PROPN
ap-1055	114	9	�	�	PROPN
ap-1055	114	10	�	�	PROPN
ap-1055	114	11	(	(	PUNCT
ap-1055	114	12	)	)	PUNCT
ap-1055	114	13	~	~	PUNCT
ap-1055	114	14	)	)	PUNCT
ap-1055	115	1	~	~	PUNCT
ap-1055	115	2	(	(	PUNCT
ap-1055	115	3	)	)	PUNCT
ap-1055	115	4	1	1	NUM
ap-1055	115	5	,	,	PUNCT
ap-1055	115	6	(	(	PUNCT
ap-1055	115	7	22	22	NUM
ap-1055	115	8	)	)	PUNCT
ap-1055	115	9	where~	where~	PROPN
ap-1055	115	10	(	(	PUNCT
ap-1055	115	11	)	)	PUNCT
ap-1055	115	12	a	a	DET
ap-1055	115	13	t	t	NOUN
ap-1055	115	14	is	be	AUX
ap-1055	115	15	the	the	DET
ap-1055	115	16	time	time	NOUN
ap-1055	115	17	evolution	evolution	NOUN
ap-1055	115	18	of	of	ADP
ap-1055	115	19	the	the	DET
ap-1055	115	20	probability	probability	NOUN
ap-1055	115	21	of	of	ADP
ap-1055	115	22	state	state	NOUN
ap-1055	115	23	1	1	NUM
ap-1055	115	24	�	�	PROPN
ap-1055	115	25	,	,	PUNCT
ap-1055	115	26	and	and	CCONJ
ap-1055	115	27	~	~	PUNCT
ap-1055	115	28	(	(	PUNCT
ap-1055	115	29	)	)	PUNCT
ap-1055	115	30	�	�	PROPN
ap-1055	115	31	t	t	PROPN
ap-1055	115	32	is	be	AUX
ap-1055	115	33	the	the	DET
ap-1055	115	34	evolution	evolution	NOUN
ap-1055	115	35	of	of	ADP
ap-1055	115	36	the	the	DET
ap-1055	115	37	link	link	NOUN
ap-1055	115	38	among	among	ADP
ap-1055	115	39	different	different	ADJ
ap-1055	115	40	�	�	PROPN
ap-1055	115	41	positioned	position	VERB
ap-1055	115	42	quantum	quantum	ADJ
ap-1055	115	43	objects	object	NOUN
ap-1055	115	44	(	(	PUNCT
ap-1055	115	45	expressing	express	VERB
ap-1055	115	46	structuring	structuring	NOUN
ap-1055	115	47	and	and	CCONJ
ap-1055	115	48	randomizing	randomize	VERB
ap-1055	115	49	)	)	PUNCT
ap-1055	115	50	.	.	PUNCT
ap-1055	116	1	the	the	DET
ap-1055	116	2	complex	complex	ADJ
ap-1055	116	3	parameter	parameter	NOUN
ap-1055	116	4	assigned	assign	VERB
ap-1055	116	5	to	to	ADP
ap-1055	116	6	0	0	NUM
ap-1055	116	7	�	�	PROPN
ap-1055	116	8	is	be	AUX
ap-1055	116	9	computed	compute	VERB
ap-1055	116	10	from	from	ADP
ap-1055	116	11	the	the	DET
ap-1055	116	12	normalization	normalization	NOUN
ap-1055	116	13	and	and	CCONJ
ap-1055	116	14	reference	reference	NOUN
ap-1055	116	15	condition	condition	NOUN
ap-1055	116	16	:	:	PUNCT
ap-1055	116	17	�	�	PROPN
ap-1055	116	18	�	�	PROPN
ap-1055	116	19	�	�	PROPN
ap-1055	116	20	�	�	PROPN
ap-1055	116	21	�	�	PROPN
ap-1055	116	22	�	�	PROPN
ap-1055	116	23	,	,	PUNCT
ap-1055	116	24	~	~	PUNCT
ap-1055	116	25	~	~	PUNCT
ap-1055	116	26	~	~	PUNCT
ap-1055	116	27	)	)	PUNCT
ap-1055	117	1	t	t	PROPN
ap-1055	117	2	t	t	PROPN
ap-1055	117	3	t	t	PROPN
ap-1055	117	4	j	j	PROPN
ap-1055	117	5	t	t	PROPN
ap-1055	117	6	�	�	PROPN
ap-1055	117	7	�	�	PROPN
ap-1055	117	8	�	�	PROPN
ap-1055	117	9	�	�	PROPN
ap-1055	117	10	�	�	PROPN
ap-1055	117	11	�	�	PROPN
ap-1055	117	12	1	1	NUM
ap-1055	117	13	0	0	NUM
ap-1055	117	14	1a	1a	NOUN
ap-1055	117	15	(	(	PUNCT
ap-1055	117	16	)	)	PUNCT
ap-1055	117	17	a	a	PROPN
ap-1055	117	18	(	(	PUNCT
ap-1055	117	19	)	)	PUNCT
ap-1055	117	20	e	e	X
ap-1055	117	21	.	.	PUNCT
ap-1055	118	1	(	(	PUNCT
ap-1055	118	2	23	23	NUM
ap-1055	118	3	)	)	PUNCT
ap-1055	118	4	equation	equation	NOUN
ap-1055	118	5	(	(	PUNCT
ap-1055	118	6	23	23	NUM
ap-1055	118	7	)	)	PUNCT
ap-1055	118	8	can	can	AUX
ap-1055	118	9	be	be	AUX
ap-1055	118	10	understood	understand	VERB
ap-1055	118	11	as	as	ADP
ap-1055	118	12	the	the	DET
ap-1055	118	13	“	"	PUNCT
ap-1055	118	14	bra	bra	NOUN
ap-1055	118	15	-	-	PUNCT
ap-1055	118	16	ket	ket	NOUN
ap-1055	118	17	”	"	PUNCT
ap-1055	118	18	representation	representation	NOUN
ap-1055	118	19	of	of	ADP
ap-1055	118	20	general	general	ADJ
ap-1055	118	21	non	non	ADJ
ap-1055	118	22	-	-	ADJ
ap-1055	118	23	ergodic	ergodic	ADJ
ap-1055	118	24	binary	binary	ADJ
ap-1055	118	25	quantum	quantum	NOUN
ap-1055	118	26	objects	object	NOUN
ap-1055	118	27	.	.	PUNCT
ap-1055	119	1	we	we	PRON
ap-1055	119	2	can	can	AUX
ap-1055	119	3	see	see	VERB
ap-1055	119	4	in	in	ADP
ap-1055	119	5	(	(	PUNCT
ap-1055	119	6	21	21	NUM
ap-1055	119	7	)	)	PUNCT
ap-1055	119	8	that	that	SCONJ
ap-1055	119	9	for	for	ADP
ap-1055	119	10	every	every	DET
ap-1055	119	11	state	state	NOUN
ap-1055	119	12	0	0	NUM
ap-1055	119	13	�	�	PROPN
ap-1055	119	14	,	,	PUNCT
ap-1055	119	15	1	1	NUM
ap-1055	119	16	�	�	PROPN
ap-1055	119	17	the	the	DET
ap-1055	119	18	discrete	discrete	ADJ
ap-1055	119	19	modules	module	NOUN
ap-1055	119	20	and	and	CCONJ
ap-1055	119	21	phase	phase	NOUN
ap-1055	119	22	spectrum	spectrum	NOUN
ap-1055	119	23	can	can	AUX
ap-1055	119	24	be	be	AUX
ap-1055	119	25	defined	define	VERB
ap-1055	119	26	.	.	PUNCT
ap-1055	120	1	this	this	PRON
ap-1055	120	2	means	mean	VERB
ap-1055	120	3	that	that	SCONJ
ap-1055	120	4	the	the	DET
ap-1055	120	5	time	time	NOUN
ap-1055	120	6	-	-	PUNCT
ap-1055	120	7	evolution	evolution	NOUN
ap-1055	120	8	is	be	AUX
ap-1055	120	9	modeled	model	VERB
ap-1055	120	10	by	by	ADP
ap-1055	120	11	a	a	DET
ap-1055	120	12	periodic	periodic	ADJ
ap-1055	120	13	function	function	NOUN
ap-1055	120	14	.	.	PUNCT
ap-1055	121	1	the	the	DET
ap-1055	121	2	discrete	discrete	ADJ
ap-1055	121	3	spectrum	spectrum	NOUN
ap-1055	121	4	can	can	AUX
ap-1055	121	5	be	be	AUX
ap-1055	121	6	replaced	replace	VERB
ap-1055	121	7	by	by	ADP
ap-1055	121	8	a	a	DET
ap-1055	121	9	continuous	continuous	ADJ
ap-1055	121	10	spectrum	spectrum	NOUN
ap-1055	121	11	.	.	PUNCT
ap-1055	122	1	in	in	ADP
ap-1055	122	2	this	this	DET
ap-1055	122	3	case	case	NOUN
ap-1055	122	4	,	,	PUNCT
ap-1055	122	5	the	the	DET
ap-1055	122	6	sums	sum	NOUN
ap-1055	122	7	in	in	ADP
ap-1055	122	8	(	(	PUNCT
ap-1055	122	9	21	21	NUM
ap-1055	122	10	)	)	PUNCT
ap-1055	122	11	are	be	AUX
ap-1055	122	12	replaced	replace	VERB
ap-1055	122	13	by	by	ADP
ap-1055	122	14	integrals	integral	NOUN
ap-1055	122	15	.	.	PUNCT
ap-1055	123	1	this	this	DET
ap-1055	123	2	replacement	replacement	NOUN
ap-1055	123	3	means	mean	VERB
ap-1055	123	4	the	the	DET
ap-1055	123	5	transition	transition	NOUN
ap-1055	123	6	from	from	ADP
ap-1055	123	7	a	a	DET
ap-1055	123	8	fourier	fourier	NOUN
ap-1055	123	9	series	series	NOUN
ap-1055	123	10	into	into	ADP
ap-1055	123	11	the	the	DET
ap-1055	123	12	fourier	fourier	NOUN
ap-1055	123	13	transform	transform	NOUN
ap-1055	123	14	.	.	PUNCT
ap-1055	124	1	6	6	NUM
ap-1055	124	2	illustrative	illustrative	ADJ
ap-1055	124	3	example	example	NOUN
ap-1055	124	4	-	-	PUNCT
ap-1055	124	5	binary	binary	NOUN
ap-1055	124	6	time	time	NOUN
ap-1055	124	7	series	series	PROPN
ap-1055	124	8	let	let	VERB
ap-1055	124	9	us	we	PRON
ap-1055	124	10	take	take	VERB
ap-1055	124	11	two	two	NUM
ap-1055	124	12	values	value	NOUN
ap-1055	124	13	{	{	PUNCT
ap-1055	124	14	,	,	PUNCT
ap-1055	124	15	}	}	PUNCT
ap-1055	124	16	a	a	DET
ap-1055	124	17	a0	a0	NOUN
ap-1055	124	18	10	10	NUM
ap-1055	124	19	1	1	NUM
ap-1055	124	20	�	�	PROPN
ap-1055	124	21	�	�	PROPN
ap-1055	124	22	time	time	NOUN
ap-1055	124	23	series	series	NOUN
ap-1055	124	24	represented	represent	VERB
ap-1055	124	25	by	by	ADP
ap-1055	124	26	two	two	NUM
ap-1055	124	27	complex	complex	ADJ
ap-1055	124	28	wave	wave	NOUN
ap-1055	124	29	functions	function	NOUN
ap-1055	124	30	�	�	PROPN
ap-1055	124	31	(	(	PUNCT
ap-1055	124	32	)	)	PUNCT
ap-1055	124	33	a	a	DET
ap-1055	124	34	0	0	NUM
ap-1055	124	35	and	and	CCONJ
ap-1055	124	36	�	�	PROPN
ap-1055	124	37	(	(	PUNCT
ap-1055	124	38	)	)	PUNCT
ap-1055	124	39	a1	a1	NOUN
ap-1055	124	40	.	.	PUNCT
ap-1055	125	1	in	in	ADP
ap-1055	125	2	the	the	DET
ap-1055	125	3	next	next	ADJ
ap-1055	125	4	part	part	NOUN
ap-1055	125	5	we	we	PRON
ap-1055	125	6	will	will	AUX
ap-1055	125	7	use	use	VERB
ap-1055	125	8	for	for	ADP
ap-1055	125	9	simplicity	simplicity	NOUN
ap-1055	125	10	the	the	DET
ap-1055	125	11	notation	notation	PROPN
ap-1055	125	12	�	�	PROPN
ap-1055	125	13	�	�	PROPN
ap-1055	125	14	(	(	PUNCT
ap-1055	125	15	)	)	PUNCT
ap-1055	125	16	a	a	DET
ap-1055	125	17	0	0	NUM
ap-1055	125	18	0	0	NUM
ap-1055	125	19	�	�	PROPN
ap-1055	125	20	and	and	CCONJ
ap-1055	125	21	�	�	PROPN
ap-1055	125	22	�	�	PROPN
ap-1055	125	23	(	(	PUNCT
ap-1055	125	24	)	)	PUNCT
ap-1055	125	25	a1	a1	PROPN
ap-1055	125	26	1	1	NUM
ap-1055	125	27	�	�	PROPN
ap-1055	125	28	.	.	PUNCT
ap-1055	126	1	a.	a.	NOUN
ap-1055	126	2	complementarity	complementarity	NOUN
ap-1055	126	3	principle	principle	NOUN
ap-1055	126	4	we	we	PRON
ap-1055	126	5	demonstrate	demonstrate	VERB
ap-1055	126	6	the	the	DET
ap-1055	126	7	complementarity	complementarity	NOUN
ap-1055	126	8	principle	principle	NOUN
ap-1055	126	9	of	of	ADP
ap-1055	126	10	binary	binary	ADJ
ap-1055	126	11	time	time	NOUN
ap-1055	126	12	series	series	PROPN
ap-1055	126	13	.	.	PUNCT
ap-1055	127	1	discrete	discrete	ADJ
ap-1055	127	2	fourier	fourier	NOUN
ap-1055	127	3	transform	transform	NOUN
ap-1055	127	4	(	(	PUNCT
ap-1055	127	5	dft	dft	NOUN
ap-1055	127	6	)	)	PUNCT
ap-1055	127	7	is	be	AUX
ap-1055	127	8	defined	define	VERB
ap-1055	127	9	for	for	ADP
ap-1055	127	10	k	k	PROPN
ap-1055	127	11	,	,	PUNCT
ap-1055	127	12	i	i	PRON
ap-1055	127	13	n	n	CCONJ
ap-1055	127	14	�	�	PROPN
ap-1055	127	15	{	{	PUNCT
ap-1055	127	16	,	,	PUNCT
ap-1055	127	17	,	,	PUNCT
ap-1055	127	18	,	,	PUNCT
ap-1055	127	19	}	}	PUNCT
ap-1055	127	20	0	0	NUM
ap-1055	127	21	1	1	NUM
ap-1055	127	22	1	1	NUM
ap-1055	127	23	�	�	NOUN
ap-1055	127	24	:	:	PUNCT
ap-1055	127	25	x	x	X
ap-1055	128	1	e	e	X
ap-1055	128	2	x	x	X
ap-1055	128	3	e	e	X
ap-1055	128	4	k	k	NOUN
ap-1055	129	1	i	i	PRON
ap-1055	130	1	j	j	VERB
ap-1055	131	1	i	i	PRON
ap-1055	131	2	k	k	PROPN
ap-1055	132	1	n	n	VERB
ap-1055	132	2	i	i	PRON
ap-1055	133	1	n	n	ADV
ap-1055	134	1	i	i	PRON
ap-1055	134	2	k	k	PROPN
ap-1055	135	1	j	j	PROPN
ap-1055	136	1	i	i	PRON
ap-1055	136	2	k	k	PROPN
ap-1055	136	3	n	n	VERB
ap-1055	136	4	k	k	PROPN
ap-1055	136	5	n	n	ADV
ap-1055	136	6	x	x	SYM
ap-1055	136	7	x	x	SYM
ap-1055	136	8	n	n	PRON
ap-1055	136	9	�	�	PROPN
ap-1055	136	10	�	�	PROPN
ap-1055	136	11	�	�	PROPN
ap-1055	136	12	�	�	PROPN
ap-1055	136	13	�	�	PROPN
ap-1055	136	14	�	�	PROPN
ap-1055	136	15	�	�	PROPN
ap-1055	136	16	�	�	PROPN
ap-1055	136	17	�	�	PROPN
ap-1055	136	18	�	�	PROPN
ap-1055	136	19	�	�	PROPN
ap-1055	136	20	�	�	PROPN
ap-1055	136	21	2	2	NUM
ap-1055	136	22	0	0	NUM
ap-1055	136	23	1	1	NUM
ap-1055	136	24	2	2	NUM
ap-1055	136	25	0	0	NUM
ap-1055	136	26	11	11	NUM
ap-1055	136	27	�	�	PROPN
ap-1055	136	28	�	�	PROPN
ap-1055	136	29	,	,	PUNCT
ap-1055	136	30	.	.	PUNCT
ap-1055	137	1	probability	probability	NOUN
ap-1055	137	2	in	in	ADP
ap-1055	137	3	x	x	NOUN
ap-1055	137	4	-	-	NOUN
ap-1055	137	5	representation	representation	NOUN
ap-1055	137	6	is	be	AUX
ap-1055	137	7	given	give	VERB
ap-1055	137	8	from	from	ADP
ap-1055	137	9	(	(	PUNCT
ap-1055	137	10	4	4	NUM
ap-1055	137	11	):	):	PUNCT
ap-1055	137	12	p	p	X
ap-1055	137	13	a	a	DET
ap-1055	137	14	p	p	NOUN
ap-1055	137	15	a	a	PRON
ap-1055	137	16	(	(	PUNCT
ap-1055	137	17	)	)	PUNCT
ap-1055	137	18	(	(	PUNCT
ap-1055	137	19	)	)	PUNCT
ap-1055	137	20	*	*	PUNCT
ap-1055	138	1	*	*	PUNCT
ap-1055	138	2	0	0	NUM
ap-1055	138	3	0	0	NUM
ap-1055	138	4	0	0	NUM
ap-1055	138	5	1	1	NUM
ap-1055	138	6	1	1	NUM
ap-1055	138	7	1	1	NUM
ap-1055	138	8	0	0	NUM
ap-1055	138	9	1	1	NUM
ap-1055	138	10	�	�	PROPN
ap-1055	138	11	�	�	PROPN
ap-1055	138	12	�	�	PROPN
ap-1055	138	13	�	�	PROPN
ap-1055	138	14	�	�	PROPN
ap-1055	138	15	�	�	PROPN
ap-1055	138	16	�	�	PROPN
ap-1055	138	17	�	�	PROPN
ap-1055	138	18	�	�	PROPN
ap-1055	138	19	�	�	PROPN
ap-1055	138	20	(	(	PUNCT
ap-1055	138	21	24	24	NUM
ap-1055	138	22	)	)	PUNCT
ap-1055	138	23	first	first	ADV
ap-1055	138	24	we	we	PRON
ap-1055	138	25	compute	compute	VERB
ap-1055	138	26	dft	dft	PROPN
ap-1055	138	27	of	of	ADP
ap-1055	138	28	wave	wave	NOUN
ap-1055	138	29	functions	function	NOUN
ap-1055	138	30	�	�	PROPN
ap-1055	138	31	0	0	NUM
ap-1055	138	32	,	,	PUNCT
ap-1055	138	33	�	�	PROPN
ap-1055	138	34	1	1	NUM
ap-1055	138	35	:	:	PUNCT
ap-1055	138	36	�	�	PROPN
ap-1055	138	37	�	�	PROPN
ap-1055	138	38	�	�	PROPN
ap-1055	138	39	�	�	PROPN
ap-1055	138	40	�	�	PROPN
ap-1055	138	41	�	�	PROPN
ap-1055	138	42	�	�	PROPN
ap-1055	138	43	�	�	PROPN
ap-1055	138	44	(	(	PUNCT
ap-1055	138	45	)	)	PUNCT
ap-1055	138	46	,	,	PUNCT
ap-1055	138	47	(	(	PUNCT
ap-1055	138	48	)	)	PUNCT
ap-1055	139	1	k	k	PROPN
ap-1055	139	2	k	k	X
ap-1055	140	1	i	i	PRON
ap-1055	140	2	i	i	PRON
ap-1055	141	1	i	i	PRON
ap-1055	142	1	i	i	PRON
ap-1055	142	2	j	j	VERB
ap-1055	143	1	i	i	PRON
ap-1055	143	2	�	�	PROPN
ap-1055	143	3	�	�	PROPN
ap-1055	143	4	�	�	PROPN
ap-1055	143	5	�	�	PROPN
ap-1055	143	6	�	�	PROPN
ap-1055	143	7	�	�	PROPN
ap-1055	143	8	�	�	PROPN
ap-1055	143	9	�	�	PROPN
ap-1055	143	10	�	�	PROPN
ap-1055	143	11	�	�	PROPN
ap-1055	143	12	�	�	PROPN
ap-1055	143	13	�	�	PROPN
ap-1055	143	14	�	�	PROPN
ap-1055	143	15	0	0	NUM
ap-1055	143	16	1	1	NUM
ap-1055	143	17	0	0	NUM
ap-1055	143	18	1	1	NUM
ap-1055	143	19	0	0	NUM
ap-1055	143	20	0	0	NUM
ap-1055	143	21	1	1	NUM
ap-1055	143	22	0	0	NUM
ap-1055	143	23	1	1	NUM
ap-1055	143	24	0	0	NUM
ap-1055	143	25	e	e	X
ap-1055	143	26	e	e	X
ap-1055	143	27	�	�	PROPN
ap-1055	143	28	1	1	NUM
ap-1055	143	29	,	,	PUNCT
ap-1055	143	30	(	(	PUNCT
ap-1055	143	31	25	25	NUM
ap-1055	143	32	)	)	PUNCT
ap-1055	143	33	where	where	SCONJ
ap-1055	143	34	�	�	PROPN
ap-1055	143	35	(	(	PUNCT
ap-1055	143	36	.	.	PUNCT
ap-1055	143	37	)	)	PUNCT
ap-1055	143	38	are	be	AUX
ap-1055	143	39	dft	dft	NOUN
ap-1055	143	40	transformed	transform	VERB
ap-1055	143	41	functions	function	NOUN
ap-1055	143	42	.	.	PUNCT
ap-1055	144	1	the	the	DET
ap-1055	144	2	probability	probability	NOUN
ap-1055	144	3	function	function	NOUN
ap-1055	144	4	in	in	ADP
ap-1055	144	5	k	k	NOUN
ap-1055	144	6	-	-	PUNCT
ap-1055	144	7	representation	representation	NOUN
ap-1055	144	8	can	can	AUX
ap-1055	144	9	be	be	AUX
ap-1055	144	10	given	give	VERB
ap-1055	144	11	[	[	X
ap-1055	144	12	10	10	NUM
ap-1055	144	13	]	]	PUNCT
ap-1055	144	14	:	:	PUNCT
ap-1055	144	15	~	~	PUNCT
ap-1055	144	16	(	(	PUNCT
ap-1055	144	17	)	)	PUNCT
ap-1055	144	18	~	~	PUNCT
ap-1055	144	19	(	(	PUNCT
ap-1055	144	20	)	)	PUNCT
ap-1055	144	21	~	~	PUNCT
ap-1055	144	22	(	(	PUNCT
ap-1055	144	23	)	)	PUNCT
ap-1055	144	24	cos	cos	PROPN
ap-1055	144	25	(	(	PUNCT
ap-1055	144	26	)	)	PUNCT
ap-1055	144	27	,	,	PUNCT
ap-1055	144	28	p	p	PROPN
ap-1055	144	29	k	k	PROPN
ap-1055	144	30	k	k	PROPN
ap-1055	144	31	k	k	PROPN
ap-1055	144	32	�	�	PROPN
ap-1055	144	33	�	�	PROPN
ap-1055	144	34	�	�	PROPN
ap-1055	144	35	�	�	PROPN
ap-1055	144	36	�	�	PROPN
ap-1055	144	37	�	�	PROPN
ap-1055	144	38	�	�	PROPN
ap-1055	144	39	�	�	PROPN
ap-1055	144	40	�	�	PROPN
ap-1055	144	41	�	�	PROPN
ap-1055	144	42	0	0	NUM
ap-1055	144	43	0	0	NUM
ap-1055	144	44	0	0	NUM
ap-1055	144	45	20	20	NUM
ap-1055	144	46	2	2	NUM
ap-1055	144	47	1	1	NUM
ap-1055	144	48	2	2	NUM
ap-1055	144	49	0	0	NUM
ap-1055	144	50	1	1	NUM
ap-1055	144	51	�	�	PROPN
ap-1055	144	52	�	�	PROPN
ap-1055	144	53	�	�	PROPN
ap-1055	144	54	�	�	PROPN
ap-1055	144	55	�	�	PROPN
ap-1055	144	56	�	�	PROPN
ap-1055	144	57	�	�	PROPN
ap-1055	144	58	(	(	PUNCT
ap-1055	144	59	26	26	NUM
ap-1055	144	60	)	)	PUNCT
ap-1055	144	61	~	~	NOUN
ap-1055	144	62	(	(	PUNCT
ap-1055	144	63	)	)	PUNCT
ap-1055	144	64	~	~	PUNCT
ap-1055	144	65	(	(	PUNCT
ap-1055	144	66	)	)	PUNCT
ap-1055	144	67	~	~	PUNCT
ap-1055	144	68	(	(	PUNCT
ap-1055	144	69	)	)	PUNCT
ap-1055	144	70	cos	cos	PROPN
ap-1055	144	71	(	(	PUNCT
ap-1055	144	72	)	)	PUNCT
ap-1055	144	73	,	,	PUNCT
ap-1055	144	74	p	p	PROPN
ap-1055	144	75	k	k	PROPN
ap-1055	144	76	k	k	PROPN
ap-1055	144	77	k	k	PROPN
ap-1055	144	78	�	�	PROPN
ap-1055	144	79	�	�	PROPN
ap-1055	144	80	�	�	PROPN
ap-1055	144	81	�	�	PROPN
ap-1055	144	82	�	�	PROPN
ap-1055	144	83	�	�	PROPN
ap-1055	144	84	�	�	PROPN
ap-1055	144	85	�	�	PROPN
ap-1055	144	86	�	�	PROPN
ap-1055	144	87	1	1	NUM
ap-1055	144	88	1	1	NUM
ap-1055	144	89	1	1	NUM
ap-1055	144	90	20	20	NUM
ap-1055	144	91	2	2	NUM
ap-1055	144	92	1	1	NUM
ap-1055	144	93	2	2	NUM
ap-1055	144	94	0	0	NUM
ap-1055	144	95	1	1	NUM
ap-1055	144	96	�	�	PROPN
ap-1055	144	97	�	�	PROPN
ap-1055	144	98	�	�	PROPN
ap-1055	144	99	�	�	PROPN
ap-1055	144	100	�	�	PROPN
ap-1055	144	101	�	�	PROPN
ap-1055	144	102	�	�	PROPN
ap-1055	144	103	(	(	PUNCT
ap-1055	144	104	27	27	NUM
ap-1055	144	105	)	)	PUNCT
ap-1055	144	106	where	where	SCONJ
ap-1055	144	107	�	�	PROPN
ap-1055	144	108	means	mean	VERB
ap-1055	144	109	the	the	DET
ap-1055	144	110	phase	phase	NOUN
ap-1055	144	111	difference	difference	NOUN
ap-1055	144	112	between	between	ADP
ap-1055	144	113	complex	complex	ADJ
ap-1055	144	114	numbers	number	NOUN
ap-1055	144	115	�	�	PROPN
ap-1055	144	116	0	0	NUM
ap-1055	144	117	and	and	CCONJ
ap-1055	144	118	�	�	PROPN
ap-1055	144	119	1	1	NUM
ap-1055	144	120	.	.	PUNCT
ap-1055	145	1	the	the	DET
ap-1055	145	2	inverse	inverse	ADJ
ap-1055	145	3	dft	dft	NOUN
ap-1055	145	4	of	of	ADP
ap-1055	145	5	probabilities	probability	NOUN
ap-1055	145	6	(	(	PUNCT
ap-1055	145	7	26	26	NUM
ap-1055	145	8	)	)	PUNCT
ap-1055	145	9	and	and	CCONJ
ap-1055	145	10	(	(	PUNCT
ap-1055	145	11	27	27	NUM
ap-1055	145	12	)	)	PUNCT
ap-1055	145	13	yields	yield	NOUN
ap-1055	145	14	into	into	ADP
ap-1055	145	15	convolution	convolution	NOUN
ap-1055	145	16	in	in	ADP
ap-1055	145	17	x	x	NOUN
ap-1055	145	18	-	-	NOUN
ap-1055	145	19	representation	representation	NOUN
ap-1055	145	20	and	and	CCONJ
ap-1055	145	21	describes	describe	VERB
ap-1055	145	22	the	the	DET
ap-1055	145	23	links	link	NOUN
ap-1055	145	24	between	between	ADP
ap-1055	145	25	two	two	NUM
ap-1055	145	26	successive	successive	ADJ
ap-1055	145	27	quantum	quantum	NOUN
ap-1055	145	28	objects	object	NOUN
ap-1055	145	29	.	.	PUNCT
ap-1055	146	1	if	if	SCONJ
ap-1055	146	2	the	the	DET
ap-1055	146	3	phase	phase	NOUN
ap-1055	146	4	parameter	parameter	NOUN
ap-1055	146	5	is	be	AUX
ap-1055	146	6	zero	zero	NUM
ap-1055	146	7	�	�	PROPN
ap-1055	146	8	�	�	PROPN
ap-1055	146	9	0	0	PROPN
ap-1055	147	1	the	the	DET
ap-1055	147	2	values	value	NOUN
ap-1055	147	3	are	be	AUX
ap-1055	147	4	strongly	strongly	ADV
ap-1055	147	5	independent	independent	ADJ
ap-1055	147	6	and	and	CCONJ
ap-1055	147	7	the	the	DET
ap-1055	147	8	time	time	NOUN
ap-1055	147	9	series	series	NOUN
ap-1055	147	10	is	be	AUX
ap-1055	147	11	fully	fully	ADV
ap-1055	147	12	random	random	ADJ
ap-1055	147	13	.	.	PUNCT
ap-1055	148	1	phase	phase	NOUN
ap-1055	148	2	�	�	PROPN
ap-1055	148	3	�	�	PROPN
ap-1055	148	4	�	�	PROPN
ap-1055	148	5	2	2	NUM
ap-1055	148	6	explains	explain	VERB
ap-1055	148	7	that	that	SCONJ
ap-1055	148	8	the	the	DET
ap-1055	148	9	probability	probability	NOUN
ap-1055	148	10	of	of	ADP
ap-1055	148	11	changes	change	NOUN
ap-1055	148	12	{	{	PUNCT
ap-1055	148	13	0	0	NUM
ap-1055	148	14	,	,	PUNCT
ap-1055	148	15	1	1	NUM
ap-1055	148	16	}	}	PUNCT
ap-1055	148	17	or	or	CCONJ
ap-1055	148	18	{	{	PUNCT
ap-1055	148	19	1	1	NUM
ap-1055	148	20	,	,	PUNCT
ap-1055	148	21	0	0	NUM
ap-1055	148	22	}	}	PUNCT
ap-1055	148	23	in	in	ADP
ap-1055	148	24	the	the	DET
ap-1055	148	25	time	time	NOUN
ap-1055	148	26	series	series	NOUN
ap-1055	148	27	is	be	AUX
ap-1055	148	28	very	very	ADV
ap-1055	148	29	low	low	ADJ
ap-1055	148	30	.	.	PUNCT
ap-1055	149	1	a	a	DET
ap-1055	149	2	binary	binary	ADJ
ap-1055	149	3	time	time	NOUN
ap-1055	149	4	series	series	PROPN
ap-1055	149	5	looks	look	VERB
ap-1055	149	6	like	like	ADP
ap-1055	149	7	{	{	PUNCT
ap-1055	149	8	,	,	PUNCT
ap-1055	149	9	,	,	PUNCT
ap-1055	149	10	,	,	PUNCT
ap-1055	149	11	,	,	PUNCT
ap-1055	149	12	,	,	PUNCT
ap-1055	149	13	,	,	PUNCT
ap-1055	149	14	,	,	PUNCT
ap-1055	149	15	,	,	PUNCT
ap-1055	149	16	,	,	PUNCT
ap-1055	149	17	,	,	PUNCT
ap-1055	149	18	,	,	PUNCT
ap-1055	149	19	}	}	PUNCT
ap-1055	149	20	0	0	NUM
ap-1055	149	21	0	0	NUM
ap-1055	149	22	0	0	NUM
ap-1055	149	23	0	0	NUM
ap-1055	149	24	0	0	NUM
ap-1055	149	25	0	0	NUM
ap-1055	149	26	0	0	NUM
ap-1055	149	27	1	1	NUM
ap-1055	149	28	1	1	NUM
ap-1055	149	29	1	1	NUM
ap-1055	149	30	1	1	NUM
ap-1055	149	31	1	1	NUM
ap-1055	149	32	1	1	NUM
ap-1055	149	33	1	1	NUM
ap-1055	149	34	�	�	PROPN
ap-1055	149	35	�	�	PROPN
ap-1055	149	36	.	.	PUNCT
ap-1055	150	1	on	on	ADP
ap-1055	150	2	the	the	DET
ap-1055	150	3	other	other	ADJ
ap-1055	150	4	hand	hand	NOUN
ap-1055	150	5	if	if	SCONJ
ap-1055	150	6	the	the	DET
ap-1055	150	7	phase	phase	NOUN
ap-1055	150	8	parameter	parameter	NOUN
ap-1055	150	9	is	be	AUX
ap-1055	150	10	�	�	PROPN
ap-1055	150	11	�	�	NOUN
ap-1055	150	12	�	�	PROPN
ap-1055	150	13	the	the	DET
ap-1055	150	14	probability	probability	NOUN
ap-1055	150	15	of	of	ADP
ap-1055	150	16	finding	find	VERB
ap-1055	150	17	a	a	DET
ap-1055	150	18	pair	pair	NOUN
ap-1055	150	19	{	{	PUNCT
ap-1055	150	20	1	1	NUM
ap-1055	150	21	,	,	PUNCT
ap-1055	150	22	1	1	NUM
ap-1055	150	23	}	}	PUNCT
ap-1055	150	24	or	or	CCONJ
ap-1055	150	25	{	{	PUNCT
ap-1055	150	26	0	0	NUM
ap-1055	150	27	,	,	PUNCT
ap-1055	150	28	0	0	NUM
ap-1055	150	29	}	}	PUNCT
ap-1055	150	30	limits	limit	NOUN
ap-1055	150	31	to	to	ADP
ap-1055	150	32	zero	zero	NUM
ap-1055	150	33	.	.	PUNCT
ap-1055	151	1	the	the	DET
ap-1055	151	2	corresponding	corresponding	ADJ
ap-1055	151	3	time	time	NOUN
ap-1055	151	4	series	series	PROPN
ap-1055	151	5	looks	look	VERB
ap-1055	151	6	like	like	ADP
ap-1055	151	7	{	{	PUNCT
ap-1055	151	8	0	0	NUM
ap-1055	151	9	,	,	PUNCT
ap-1055	151	10	1	1	NUM
ap-1055	151	11	,	,	PUNCT
ap-1055	151	12	0	0	NUM
ap-1055	151	13	,	,	PUNCT
ap-1055	151	14	1	1	NUM
ap-1055	151	15	,	,	PUNCT
ap-1055	151	16	…	…	PUNCT
ap-1055	151	17	,	,	PUNCT
ap-1055	151	18	0	0	NUM
ap-1055	151	19	,	,	PUNCT
ap-1055	151	20	1	1	NUM
ap-1055	151	21	,	,	PUNCT
ap-1055	151	22	0	0	NUM
ap-1055	151	23	,	,	PUNCT
ap-1055	151	24	1	1	NUM
ap-1055	151	25	}	}	PUNCT
ap-1055	151	26	and	and	CCONJ
ap-1055	151	27	seems	seem	VERB
ap-1055	151	28	to	to	PART
ap-1055	151	29	be	be	AUX
ap-1055	151	30	fully	fully	ADV
ap-1055	151	31	deterministic	deterministic	ADJ
ap-1055	151	32	.	.	PUNCT
ap-1055	152	1	b.	b.	PROPN
ap-1055	152	2	entanglement	entanglement	PROPN
ap-1055	152	3	principle	principle	NOUN
ap-1055	152	4	let	let	VERB
ap-1055	152	5	us	we	PRON
ap-1055	152	6	take	take	VERB
ap-1055	152	7	two	two	NUM
ap-1055	152	8	quantum	quantum	ADJ
ap-1055	152	9	objects	object	NOUN
ap-1055	152	10	~	~	SYM
ap-1055	152	11	�	�	PROPN
ap-1055	152	12	�	�	PROPN
ap-1055	152	13	of	of	ADP
ap-1055	152	14	a	a	DET
ap-1055	152	15	time	time	NOUN
ap-1055	152	16	series	series	NOUN
ap-1055	152	17	with	with	ADP
ap-1055	152	18	wave	wave	NOUN
ap-1055	152	19	functions	function	NOUN
ap-1055	152	20	�	�	PROPN
ap-1055	152	21	0	0	NUM
ap-1055	152	22	and	and	CCONJ
ap-1055	152	23	�	�	PROPN
ap-1055	152	24	1	1	NUM
ap-1055	152	25	defined	define	VERB
ap-1055	152	26	in	in	ADP
ap-1055	152	27	(	(	PUNCT
ap-1055	152	28	13	13	NUM
ap-1055	152	29	)	)	PUNCT
ap-1055	152	30	and	and	CCONJ
ap-1055	152	31	(	(	PUNCT
ap-1055	152	32	18	18	NUM
ap-1055	152	33	)	)	PUNCT
ap-1055	152	34	.	.	PUNCT
ap-1055	153	1	let	let	VERB
ap-1055	153	2	us	we	PRON
ap-1055	153	3	define	define	VERB
ap-1055	153	4	the	the	DET
ap-1055	153	5	probability	probability	NOUN
ap-1055	153	6	:	:	PUNCT
ap-1055	153	7	p	p	X
ap-1055	153	8	a	a	PRON
ap-1055	153	9	a	a	X
ap-1055	153	10	(	(	PUNCT
ap-1055	153	11	(	(	PUNCT
ap-1055	153	12	)	)	PUNCT
ap-1055	153	13	(	(	PUNCT
ap-1055	153	14	)	)	PUNCT
ap-1055	153	15	cos	cos	PROPN
ap-1055	153	16	(	(	PUNCT
ap-1055	153	17	)	)	PUNCT
ap-1055	153	18	,	,	PUNCT
ap-1055	153	19	�	�	PROPN
ap-1055	153	20	�	�	PROPN
ap-1055	153	21	�	�	PROPN
ap-1055	153	22	�	�	PROPN
ap-1055	153	23	�	�	PROPN
ap-1055	153	24	�	�	PROPN
ap-1055	153	25	�	�	PROPN
ap-1055	153	26	�	�	PROPN
ap-1055	153	27	�	�	PROPN
ap-1055	153	28	�	�	PROPN
ap-1055	153	29	�	�	PROPN
ap-1055	153	30	�	�	PROPN
ap-1055	153	31	�	�	PROPN
ap-1055	153	32	�	�	PROPN
ap-1055	153	33	�	�	PROPN
ap-1055	153	34	�	�	PROPN
ap-1055	153	35	�	�	PROPN
ap-1055	153	36	0	0	NUM
ap-1055	153	37	1	1	NUM
ap-1055	153	38	2	2	NUM
ap-1055	153	39	1	1	NUM
ap-1055	153	40	0	0	NUM
ap-1055	153	41	2	2	NUM
ap-1055	153	42	1	1	NUM
ap-1055	153	43	2	2	NUM
ap-1055	153	44	0	0	NUM
ap-1055	153	45	1	1	NUM
ap-1055	153	46	(	(	PUNCT
ap-1055	153	47	28	28	NUM
ap-1055	153	48	)	)	PUNCT
ap-1055	153	49	where	where	SCONJ
ap-1055	153	50	�	�	PROPN
ap-1055	153	51	is	be	AUX
ap-1055	153	52	the	the	DET
ap-1055	153	53	phase	phase	NOUN
ap-1055	153	54	difference	difference	NOUN
ap-1055	153	55	between	between	ADP
ap-1055	153	56	wave	wave	NOUN
ap-1055	153	57	functions	function	NOUN
ap-1055	153	58	�	�	PROPN
ap-1055	153	59	0	0	NUM
ap-1055	153	60	and	and	CCONJ
ap-1055	153	61	�	�	PROPN
ap-1055	153	62	1	1	NUM
ap-1055	153	63	.	.	PUNCT
ap-1055	153	64	suppose	suppose	VERB
ap-1055	153	65	now	now	ADV
ap-1055	153	66	with	with	ADP
ap-1055	153	67	respect	respect	NOUN
ap-1055	153	68	to	to	ADP
ap-1055	153	69	theorem	theorem	NOUN
ap-1055	153	70	3	3	NUM
ap-1055	153	71	that	that	PRON
ap-1055	153	72	:	:	PUNCT
ap-1055	153	73	p	p	X
ap-1055	153	74	a	a	DET
ap-1055	153	75	a	a	X
ap-1055	153	76	(	(	PUNCT
ap-1055	153	77	(	(	PUNCT
ap-1055	153	78	)	)	PUNCT
ap-1055	153	79	(	(	PUNCT
ap-1055	153	80	)	)	PUNCT
ap-1055	153	81	�	�	PROPN
ap-1055	153	82	�	�	PROPN
ap-1055	153	83	�	�	PROPN
ap-1055	153	84	�	�	PROPN
ap-1055	153	85	�	�	PROPN
ap-1055	153	86	�	�	PROPN
ap-1055	153	87	�	�	PROPN
ap-1055	153	88	0	0	NUM
ap-1055	153	89	1	1	NUM
ap-1055	153	90	01	01	NUM
ap-1055	153	91	.	.	PUNCT
ap-1055	154	1	(	(	PUNCT
ap-1055	154	2	29	29	NUM
ap-1055	154	3	)	)	PUNCT
ap-1055	154	4	this	this	DET
ap-1055	154	5	case	case	NOUN
ap-1055	154	6	can	can	AUX
ap-1055	154	7	occur	occur	VERB
ap-1055	154	8	for	for	ADP
ap-1055	154	9	the	the	DET
ap-1055	154	10	following	follow	VERB
ap-1055	154	11	values	value	NOUN
ap-1055	154	12	of	of	ADP
ap-1055	154	13	�	�	PROPN
ap-1055	154	14	:	:	PUNCT
ap-1055	154	15	�	�	PROPN
ap-1055	154	16	�	�	PROPN
ap-1055	154	17	�	�	PROPN
ap-1055	154	18	�	�	PROPN
ap-1055	154	19	�	�	PROPN
ap-1055	154	20	�	�	PROPN
ap-1055	154	21	�	�	PROPN
ap-1055	154	22	�	�	PROPN
ap-1055	154	23	�	�	PROPN
ap-1055	154	24	�	�	PROPN
ap-1055	154	25	�	�	PROPN
ap-1055	154	26	�	�	PROPN
ap-1055	154	27	�	�	PROPN
ap-1055	154	28	�	�	PROPN
ap-1055	154	29	a	a	DET
ap-1055	154	30	cos	cos	PROPN
ap-1055	154	31	1	1	NUM
ap-1055	154	32	2	2	NUM
ap-1055	154	33	0	0	NUM
ap-1055	154	34	2	2	NUM
ap-1055	154	35	1	1	NUM
ap-1055	154	36	2	2	NUM
ap-1055	154	37	0	0	NUM
ap-1055	154	38	1	1	NUM
ap-1055	154	39	.	.	PUNCT
ap-1055	155	1	(	(	PUNCT
ap-1055	155	2	30	30	NUM
ap-1055	155	3	)	)	PUNCT
ap-1055	155	4	if	if	SCONJ
ap-1055	155	5	,	,	PUNCT
ap-1055	155	6	for	for	ADP
ap-1055	155	7	example	example	NOUN
ap-1055	155	8	,	,	PUNCT
ap-1055	155	9	�	�	PROPN
ap-1055	155	10	�	�	PROPN
ap-1055	155	11	0	0	NUM
ap-1055	155	12	1	1	NUM
ap-1055	155	13	1	1	NUM
ap-1055	155	14	2	2	NUM
ap-1055	155	15	�	�	PROPN
ap-1055	155	16	�	�	PROPN
ap-1055	155	17	then	then	ADV
ap-1055	155	18	�	�	PROPN
ap-1055	155	19	�	�	PROPN
ap-1055	155	20	�	�	PROPN
ap-1055	155	21	represents	represent	VERB
ap-1055	155	22	the	the	DET
ap-1055	155	23	entanglement	entanglement	NOUN
ap-1055	155	24	.	.	PUNCT
ap-1055	156	1	as	as	ADP
ap-1055	156	2	the	the	DET
ap-1055	156	3	result	result	NOUN
ap-1055	156	4	of	of	ADP
ap-1055	156	5	entanglement	entanglement	NOUN
ap-1055	156	6	we	we	PRON
ap-1055	156	7	can	can	AUX
ap-1055	156	8	write	write	VERB
ap-1055	156	9	that	that	SCONJ
ap-1055	156	10	the	the	DET
ap-1055	156	11	following	follow	VERB
ap-1055	156	12	events	event	NOUN
ap-1055	156	13	will	will	AUX
ap-1055	156	14	surely	surely	ADV
ap-1055	156	15	happen	happen	VERB
ap-1055	156	16	(	(	PUNCT
ap-1055	156	17	there	there	PRON
ap-1055	156	18	are	be	VERB
ap-1055	156	19	no	no	DET
ap-1055	156	20	random	random	ADJ
ap-1055	156	21	values	value	NOUN
ap-1055	156	22	):	):	PUNCT
ap-1055	156	23	p	p	X
ap-1055	156	24	a	a	DET
ap-1055	156	25	a	a	X
ap-1055	156	26	(	(	PUNCT
ap-1055	156	27	(	(	PUNCT
ap-1055	156	28	)	)	PUNCT
ap-1055	156	29	(	(	PUNCT
ap-1055	156	30	)	)	PUNCT
ap-1055	156	31	�	�	PROPN
ap-1055	156	32	�	�	PROPN
ap-1055	156	33	�	�	PROPN
ap-1055	156	34	�	�	PROPN
ap-1055	156	35	�	�	PROPN
ap-1055	156	36	�	�	PROPN
ap-1055	156	37	�	�	PROPN
ap-1055	156	38	1	1	NUM
ap-1055	156	39	0	0	NUM
ap-1055	156	40	11	11	NUM
ap-1055	156	41	.	.	PUNCT
ap-1055	157	1	(	(	PUNCT
ap-1055	157	2	31	31	NUM
ap-1055	157	3	)	)	PUNCT
ap-1055	157	4	we	we	PRON
ap-1055	157	5	can	can	AUX
ap-1055	157	6	also	also	ADV
ap-1055	157	7	start	start	VERB
ap-1055	157	8	with	with	ADP
ap-1055	157	9	the	the	DET
ap-1055	157	10	following	following	ADJ
ap-1055	157	11	probability	probability	NOUN
ap-1055	157	12	,	,	PUNCT
ap-1055	157	13	instead	instead	ADV
ap-1055	157	14	of	of	ADP
ap-1055	157	15	(	(	PUNCT
ap-1055	157	16	29	29	NUM
ap-1055	157	17	):	):	PUNCT
ap-1055	157	18	©	©	PROPN
ap-1055	157	19	czech	czech	PROPN
ap-1055	157	20	technical	technical	PROPN
ap-1055	157	21	university	university	PROPN
ap-1055	157	22	publishing	publishing	NOUN
ap-1055	157	23	house	house	NOUN
ap-1055	157	24	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-1055	157	25	45	45	NUM
ap-1055	157	26	acta	acta	PROPN
ap-1055	157	27	polytechnica	polytechnica	PROPN
ap-1055	157	28	vol	vol	NOUN
ap-1055	157	29	.	.	PUNCT
ap-1055	158	1	48	48	NUM
ap-1055	158	2	no	no	NOUN
ap-1055	158	3	.	.	PUNCT
ap-1055	159	1	5/2008	5/2008	NOUN
ap-1055	159	2	p	p	NOUN
ap-1055	159	3	a	a	DET
ap-1055	159	4	a	a	X
ap-1055	159	5	(	(	PUNCT
ap-1055	159	6	(	(	PUNCT
ap-1055	159	7	)	)	PUNCT
ap-1055	159	8	(	(	PUNCT
ap-1055	159	9	)	)	PUNCT
ap-1055	159	10	�	�	PROPN
ap-1055	159	11	�	�	PROPN
ap-1055	159	12	�	�	PROPN
ap-1055	159	13	�	�	PROPN
ap-1055	159	14	�	�	PROPN
ap-1055	159	15	�	�	PROPN
ap-1055	159	16	�	�	PROPN
ap-1055	159	17	1	1	NUM
ap-1055	159	18	0	0	NUM
ap-1055	159	19	01	01	NUM
ap-1055	159	20	.	.	PUNCT
ap-1055	160	1	(	(	PUNCT
ap-1055	160	2	32	32	NUM
ap-1055	160	3	)	)	PUNCT
ap-1055	160	4	then	then	ADV
ap-1055	160	5	the	the	DET
ap-1055	160	6	entanglement	entanglement	NOUN
ap-1055	160	7	yields	yield	VERB
ap-1055	160	8	into	into	ADP
ap-1055	160	9	:	:	PUNCT
ap-1055	160	10	p	p	X
ap-1055	160	11	a	a	DET
ap-1055	160	12	a	a	X
ap-1055	160	13	(	(	PUNCT
ap-1055	160	14	(	(	PUNCT
ap-1055	160	15	)	)	PUNCT
ap-1055	160	16	(	(	PUNCT
ap-1055	160	17	)	)	PUNCT
ap-1055	160	18	�	�	PROPN
ap-1055	160	19	�	�	PROPN
ap-1055	160	20	�	�	PROPN
ap-1055	160	21	�	�	PROPN
ap-1055	160	22	�	�	PROPN
ap-1055	160	23	�	�	PROPN
ap-1055	160	24	�	�	PROPN
ap-1055	160	25	0	0	NUM
ap-1055	160	26	1	1	NUM
ap-1055	160	27	11	11	NUM
ap-1055	160	28	.	.	PUNCT
ap-1055	161	1	(	(	PUNCT
ap-1055	161	2	33	33	NUM
ap-1055	161	3	)	)	PUNCT
ap-1055	161	4	equations	equation	NOUN
ap-1055	161	5	(	(	PUNCT
ap-1055	161	6	32	32	NUM
ap-1055	161	7	)	)	PUNCT
ap-1055	161	8	and	and	CCONJ
ap-1055	161	9	(	(	PUNCT
ap-1055	161	10	33	33	NUM
ap-1055	161	11	)	)	PUNCT
ap-1055	161	12	can	can	AUX
ap-1055	161	13	both	both	PRON
ap-1055	161	14	be	be	AUX
ap-1055	161	15	written	write	VERB
ap-1055	161	16	to	to	ADP
ap-1055	161	17	quantum	quantum	ADJ
ap-1055	161	18	“	"	PUNCT
ap-1055	161	19	bra	bra	NOUN
ap-1055	161	20	-	-	PUNCT
ap-1055	161	21	ket	ket	NOUN
ap-1055	161	22	”	"	PUNCT
ap-1055	161	23	representation	representation	NOUN
ap-1055	161	24	:	:	PUNCT
ap-1055	161	25	~	~	PUNCT
ap-1055	161	26	(	(	PUNCT
ap-1055	161	27	)	)	PUNCT
ap-1055	161	28	.	.	PUNCT
ap-1055	162	1	�	�	PROPN
ap-1055	162	2	�	�	PROPN
ap-1055	162	3	�	�	PROPN
ap-1055	162	4	�	�	PROPN
ap-1055	162	5	1	1	NUM
ap-1055	162	6	2	2	NUM
ap-1055	162	7	01	01	NUM
ap-1055	162	8	10	10	NUM
ap-1055	162	9	(	(	PUNCT
ap-1055	162	10	34	34	NUM
ap-1055	162	11	)	)	PUNCT
ap-1055	162	12	measuring	measure	VERB
ap-1055	162	13	the	the	DET
ap-1055	162	14	first	first	ADJ
ap-1055	162	15	quantum	quantum	ADJ
ap-1055	162	16	object	object	NOUN
ap-1055	162	17	from	from	ADP
ap-1055	162	18	representation	representation	NOUN
ap-1055	162	19	~	~	PUNCT
ap-1055	162	20	�	�	PROPN
ap-1055	162	21	�	�	PROPN
ap-1055	162	22	(	(	PUNCT
ap-1055	162	23	the	the	DET
ap-1055	162	24	probability	probability	NOUN
ap-1055	162	25	of	of	ADP
ap-1055	162	26	measuring	measure	VERB
ap-1055	162	27	event	event	NOUN
ap-1055	162	28	0	0	NUM
ap-1055	162	29	is	be	AUX
ap-1055	162	30	1/2	1/2	NUM
ap-1055	162	31	and	and	CCONJ
ap-1055	162	32	the	the	DET
ap-1055	162	33	probability	probability	NOUN
ap-1055	162	34	of	of	ADP
ap-1055	162	35	measuring	measure	VERB
ap-1055	162	36	1	1	NUM
ap-1055	162	37	is	be	AUX
ap-1055	162	38	also	also	ADV
ap-1055	162	39	1/2	1/2	NUM
ap-1055	162	40	)	)	PUNCT
ap-1055	162	41	fully	fully	ADV
ap-1055	162	42	determines	determine	VERB
ap-1055	162	43	the	the	DET
ap-1055	162	44	value	value	NOUN
ap-1055	162	45	which	which	PRON
ap-1055	162	46	will	will	AUX
ap-1055	162	47	be	be	AUX
ap-1055	162	48	measured	measure	VERB
ap-1055	162	49	on	on	ADP
ap-1055	162	50	the	the	DET
ap-1055	162	51	second	second	ADJ
ap-1055	162	52	object	object	NOUN
ap-1055	162	53	.	.	PUNCT
ap-1055	163	1	equation	equation	NOUN
ap-1055	163	2	(	(	PUNCT
ap-1055	163	3	34	34	NUM
ap-1055	163	4	)	)	PUNCT
ap-1055	163	5	is	be	AUX
ap-1055	163	6	the	the	DET
ap-1055	163	7	well	well	ADV
ap-1055	163	8	-	-	PUNCT
ap-1055	163	9	known	know	VERB
ap-1055	163	10	bell	bell	NOUN
ap-1055	163	11	state	state	NOUN
ap-1055	163	12	,	,	PUNCT
ap-1055	163	13	which	which	PRON
ap-1055	163	14	is	be	AUX
ap-1055	163	15	used	use	VERB
ap-1055	163	16	in	in	ADP
ap-1055	163	17	many	many	ADJ
ap-1055	163	18	applications	application	NOUN
ap-1055	163	19	,	,	PUNCT
ap-1055	163	20	e.g.	e.g.	ADV
ap-1055	163	21	,	,	PUNCT
ap-1055	163	22	in	in	ADP
ap-1055	163	23	quantum	quantum	NOUN
ap-1055	163	24	teleportation	teleportation	NOUN
ap-1055	163	25	,	,	PUNCT
ap-1055	163	26	quantum	quantum	ADJ
ap-1055	163	27	cryptography	cryptography	NOUN
ap-1055	163	28	,	,	PUNCT
ap-1055	163	29	etc	etc	X
ap-1055	163	30	.	.	X
ap-1055	163	31	c.	c.	PROPN
ap-1055	163	32	wave	wave	PROPN
ap-1055	163	33	function	function	NOUN
ap-1055	163	34	estimation	estimation	NOUN
ap-1055	163	35	let	let	VERB
ap-1055	163	36	us	we	PRON
ap-1055	163	37	define	define	VERB
ap-1055	163	38	the	the	DET
ap-1055	163	39	time	time	NOUN
ap-1055	163	40	series	series	NOUN
ap-1055	163	41	:	:	PUNCT
ap-1055	163	42	{	{	PUNCT
ap-1055	163	43	0	0	NUM
ap-1055	163	44	,	,	PUNCT
ap-1055	163	45	0	0	NUM
ap-1055	163	46	,	,	PUNCT
ap-1055	163	47	1	1	NUM
ap-1055	163	48	,	,	PUNCT
ap-1055	163	49	1	1	NUM
ap-1055	163	50	,	,	PUNCT
ap-1055	163	51	0	0	NUM
ap-1055	163	52	,	,	PUNCT
ap-1055	163	53	1	1	NUM
ap-1055	163	54	,	,	PUNCT
ap-1055	163	55	0	0	NUM
ap-1055	163	56	,	,	PUNCT
ap-1055	163	57	0	0	NUM
ap-1055	163	58	,	,	PUNCT
ap-1055	163	59	1	1	NUM
ap-1055	163	60	,	,	PUNCT
ap-1055	163	61	1	1	NUM
ap-1055	163	62	,	,	PUNCT
ap-1055	163	63	1	1	NUM
ap-1055	163	64	,	,	PUNCT
ap-1055	163	65	1	1	NUM
ap-1055	163	66	,	,	PUNCT
ap-1055	163	67	0	0	NUM
ap-1055	163	68	,	,	PUNCT
ap-1055	163	69	0	0	NUM
ap-1055	163	70	,	,	PUNCT
ap-1055	163	71	0	0	NUM
ap-1055	163	72	}	}	PUNCT
ap-1055	163	73	with	with	ADP
ap-1055	163	74	the	the	DET
ap-1055	163	75	estimated	estimate	VERB
ap-1055	163	76	occurrence	occurrence	NOUN
ap-1055	163	77	rates	rate	NOUN
ap-1055	163	78	:	:	PUNCT
ap-1055	163	79	�	�	PROPN
ap-1055	163	80	(	(	PUNCT
ap-1055	163	81	)	)	PUNCT
ap-1055	163	82	p	p	X
ap-1055	163	83	a	a	DET
ap-1055	163	84	�	�	PROPN
ap-1055	163	85	�	�	PROPN
ap-1055	163	86	�	�	PROPN
ap-1055	163	87	1	1	NUM
ap-1055	163	88	7	7	NUM
ap-1055	163	89	15	15	NUM
ap-1055	163	90	,	,	PUNCT
ap-1055	163	91	�	�	PROPN
ap-1055	163	92	(	(	PUNCT
ap-1055	163	93	)	)	PUNCT
ap-1055	163	94	p	p	X
ap-1055	163	95	a	a	DET
ap-1055	163	96	�	�	PROPN
ap-1055	163	97	�	�	PROPN
ap-1055	163	98	�	�	PROPN
ap-1055	163	99	0	0	NUM
ap-1055	163	100	8	8	NUM
ap-1055	163	101	15	15	NUM
ap-1055	163	102	(	(	PUNCT
ap-1055	163	103	35	35	NUM
ap-1055	163	104	)	)	PUNCT
ap-1055	163	105	�	�	PROPN
ap-1055	163	106	(	(	PUNCT
ap-1055	163	107	)	)	PUNCT
ap-1055	163	108	p	p	X
ap-1055	163	109	a	a	DET
ap-1055	163	110	a	a	DET
ap-1055	163	111	�	�	PROPN
ap-1055	163	112	�	�	PROPN
ap-1055	163	113	�	�	PROPN
ap-1055	163	114	�	�	PROPN
ap-1055	163	115	�	�	PROPN
ap-1055	163	116	�	�	PROPN
ap-1055	163	117	�	�	PROPN
ap-1055	163	118	0	0	NUM
ap-1055	163	119	1	1	NUM
ap-1055	163	120	3	3	NUM
ap-1055	163	121	141	141	NUM
ap-1055	163	122	.	.	PUNCT
ap-1055	164	1	(	(	PUNCT
ap-1055	164	2	36	36	NUM
ap-1055	164	3	)	)	PUNCT
ap-1055	164	4	by	by	ADP
ap-1055	164	5	using	use	VERB
ap-1055	164	6	the	the	DET
ap-1055	164	7	inclusion	inclusion	NOUN
ap-1055	164	8	-	-	PUNCT
ap-1055	164	9	exclusion	exclusion	NOUN
ap-1055	164	10	rule	rule	NOUN
ap-1055	164	11	we	we	PRON
ap-1055	164	12	can	can	AUX
ap-1055	164	13	apply	apply	VERB
ap-1055	164	14	the	the	DET
ap-1055	164	15	estimated	estimate	VERB
ap-1055	164	16	probabilities	probability	NOUN
ap-1055	164	17	and	and	CCONJ
ap-1055	164	18	write	write	VERB
ap-1055	164	19	the	the	DET
ap-1055	164	20	following	follow	VERB
ap-1055	164	21	equation	equation	NOUN
ap-1055	164	22	:	:	PUNCT
ap-1055	164	23	�	�	PROPN
ap-1055	164	24	(	(	PUNCT
ap-1055	164	25	)	)	PUNCT
ap-1055	164	26	(	(	PUNCT
ap-1055	164	27	)	)	PUNCT
ap-1055	164	28	)	)	PUNCT
ap-1055	164	29	�	�	PROPN
ap-1055	164	30	)	)	PUNCT
ap-1055	164	31	�	�	PROPN
ap-1055	164	32	)	)	PUNCT
ap-1055	164	33	�	�	PROPN
ap-1055	164	34	)	)	PUNCT
ap-1055	165	1	p	p	X
ap-1055	165	2	(	(	PUNCT
ap-1055	165	3	a	a	DET
ap-1055	165	4	a	a	DET
ap-1055	165	5	p(a	p(a	PROPN
ap-1055	165	6	p(a	p(a	PROPN
ap-1055	165	7	p(a	p(a	PROPN
ap-1055	165	8	�	�	PROPN
ap-1055	165	9	�	�	PROPN
ap-1055	165	10	�	�	PROPN
ap-1055	165	11	�	�	PROPN
ap-1055	165	12	�	�	PROPN
ap-1055	165	13	�	�	PROPN
ap-1055	165	14	�	�	PROPN
ap-1055	165	15	�	�	PROPN
ap-1055	165	16	�	�	PROPN
ap-1055	165	17	�	�	PROPN
ap-1055	165	18	�	�	PROPN
ap-1055	165	19	�	�	PROPN
ap-1055	165	20	�	�	PROPN
ap-1055	165	21	�	�	PROPN
ap-1055	165	22	�	�	PROPN
ap-1055	165	23	�	�	PROPN
ap-1055	165	24	0	0	NUM
ap-1055	165	25	1	1	NUM
ap-1055	165	26	0	0	NUM
ap-1055	165	27	1	1	NUM
ap-1055	165	28	2	2	NUM
ap-1055	165	29	0	0	NUM
ap-1055	165	30	1	1	NUM
ap-1055	165	31	1	1	NUM
ap-1055	165	32	�	�	PROPN
ap-1055	165	33	)	)	PUNCT
ap-1055	165	34	cos	cos	PROPN
ap-1055	165	35	(	(	PUNCT
ap-1055	165	36	)	)	PUNCT
ap-1055	165	37	�	�	PROPN
ap-1055	165	38	)	)	PUNCT
ap-1055	165	39	�	�	PROPN
ap-1055	165	40	)	)	PUNCT
ap-1055	165	41	�	�	PROPN
ap-1055	165	42	(	(	PUNCT
ap-1055	165	43	p(a	p(a	PROPN
ap-1055	165	44	p(a	p(a	PROPN
ap-1055	165	45	p(a	p(a	PROPN
ap-1055	165	46	p	p	PROPN
ap-1055	165	47	a	a	PRON
ap-1055	165	48	a	a	DET
ap-1055	165	49	�	�	PROPN
ap-1055	165	50	�	�	PROPN
ap-1055	165	51	�	�	PROPN
ap-1055	165	52	�	�	PROPN
ap-1055	165	53	�	�	PROPN
ap-1055	165	54	�	�	PROPN
ap-1055	165	55	�	�	PROPN
ap-1055	165	56	�	�	PROPN
ap-1055	165	57	�	�	PROPN
ap-1055	165	58	�	�	PROPN
ap-1055	165	59	�	�	PROPN
ap-1055	165	60	�	�	PROPN
ap-1055	165	61	�	�	PROPN
ap-1055	165	62	�	�	PROPN
ap-1055	165	63	�	�	PROPN
ap-1055	165	64	�	�	PROPN
ap-1055	165	65	�	�	PROPN
ap-1055	165	66	1	1	NUM
ap-1055	165	67	1	1	NUM
ap-1055	165	68	1	1	NUM
ap-1055	165	69	1	1	NUM
ap-1055	165	70	0	0	NUM
ap-1055	165	71	1	1	NUM
ap-1055	165	72	0	0	NUM
ap-1055	165	73	�	�	NOUN
ap-1055	165	74	1	1	NUM
ap-1055	165	75	)	)	PUNCT
ap-1055	165	76	(	(	PUNCT
ap-1055	165	77	37	37	NUM
ap-1055	165	78	)	)	PUNCT
ap-1055	165	79	from	from	ADP
ap-1055	165	80	which	which	PRON
ap-1055	165	81	the	the	DET
ap-1055	165	82	estimated	estimate	VERB
ap-1055	165	83	phase	phase	NOUN
ap-1055	165	84	parameter	parameter	NOUN
ap-1055	165	85	can	can	AUX
ap-1055	165	86	be	be	AUX
ap-1055	165	87	computed	compute	VERB
ap-1055	165	88	:	:	PUNCT
ap-1055	165	89	�	�	PROPN
ap-1055	165	90	arccos	arccos	PROPN
ap-1055	165	91	�	�	PROPN
ap-1055	165	92	(	(	PUNCT
ap-1055	165	93	)	)	PUNCT
ap-1055	165	94	�	�	PROPN
ap-1055	165	95	)	)	PUNCT
ap-1055	165	96	�	�	PROPN
ap-1055	165	97	)	)	PUNCT
ap-1055	165	98	�	�	PROPN
ap-1055	165	99	�	�	PROPN
ap-1055	165	100	�	�	PROPN
ap-1055	165	101	�	�	PROPN
ap-1055	165	102	�	�	PROPN
ap-1055	165	103	�	�	PROPN
ap-1055	165	104	�	�	PROPN
ap-1055	165	105	�	�	PROPN
ap-1055	165	106	�	�	PROPN
ap-1055	165	107	�	�	PROPN
ap-1055	165	108	�	�	PROPN
ap-1055	165	109	�	�	PROPN
ap-1055	165	110	�	�	PROPN
ap-1055	165	111	�	�	PROPN
ap-1055	165	112	�	�	PROPN
ap-1055	165	113	�	�	PROPN
ap-1055	165	114	�	�	PROPN
ap-1055	165	115	�	�	PROPN
ap-1055	165	116	�	�	PROPN
ap-1055	165	117	�	�	PROPN
ap-1055	165	118	p	p	PROPN
ap-1055	165	119	a	a	PRON
ap-1055	165	120	a	a	DET
ap-1055	165	121	p(a	p(a	PROPN
ap-1055	165	122	p(a	p(a	PROPN
ap-1055	165	123	0	0	NUM
ap-1055	165	124	1	1	NUM
ap-1055	165	125	2	2	NUM
ap-1055	165	126	0	0	NUM
ap-1055	165	127	1	1	NUM
ap-1055	165	128	1	1	NUM
ap-1055	165	129	1	1	NUM
ap-1055	165	130	�	�	NOUN
ap-1055	165	131	13543	13543	NUM
ap-1055	165	132	.	.	PUNCT
ap-1055	165	133	.	.	PUNCT
ap-1055	166	1	(	(	PUNCT
ap-1055	166	2	38	38	NUM
ap-1055	166	3	)	)	PUNCT
ap-1055	166	4	if	if	SCONJ
ap-1055	166	5	we	we	PRON
ap-1055	166	6	use	use	VERB
ap-1055	166	7	the	the	DET
ap-1055	166	8	estimated	estimate	VERB
ap-1055	166	9	angle	angle	NOUN
ap-1055	166	10	we	we	PRON
ap-1055	166	11	can	can	AUX
ap-1055	166	12	compute	compute	VERB
ap-1055	166	13	the	the	DET
ap-1055	166	14	inclusion	inclusion	NOUN
ap-1055	166	15	-	-	PUNCT
ap-1055	166	16	exclusion	exclusion	NOUN
ap-1055	166	17	probability	probability	NOUN
ap-1055	166	18	as	as	ADP
ap-1055	166	19	:	:	PUNCT
ap-1055	166	20	�	�	PROPN
ap-1055	166	21	(	(	PUNCT
ap-1055	166	22	)	)	PUNCT
ap-1055	166	23	(	(	PUNCT
ap-1055	166	24	)	)	PUNCT
ap-1055	166	25	)	)	PUNCT
ap-1055	166	26	�	�	PROPN
ap-1055	166	27	)	)	PUNCT
ap-1055	166	28	�	�	PROPN
ap-1055	166	29	)	)	PUNCT
ap-1055	166	30	�	�	PROPN
ap-1055	166	31	)	)	PUNCT
ap-1055	167	1	p	p	X
ap-1055	167	2	(	(	PUNCT
ap-1055	167	3	a	a	DET
ap-1055	167	4	a	a	DET
ap-1055	167	5	p(a	p(a	PROPN
ap-1055	167	6	p(a	p(a	PROPN
ap-1055	167	7	p(a	p(a	PROPN
ap-1055	167	8	�	�	PROPN
ap-1055	167	9	�	�	PROPN
ap-1055	167	10	�	�	PROPN
ap-1055	167	11	�	�	PROPN
ap-1055	167	12	�	�	PROPN
ap-1055	167	13	�	�	PROPN
ap-1055	167	14	�	�	PROPN
ap-1055	167	15	�	�	PROPN
ap-1055	167	16	�	�	PROPN
ap-1055	167	17	�	�	PROPN
ap-1055	167	18	�	�	PROPN
ap-1055	167	19	�	�	PROPN
ap-1055	167	20	�	�	PROPN
ap-1055	167	21	�	�	PROPN
ap-1055	167	22	�	�	PROPN
ap-1055	167	23	�	�	PROPN
ap-1055	167	24	0	0	NUM
ap-1055	167	25	1	1	NUM
ap-1055	167	26	0	0	NUM
ap-1055	167	27	1	1	NUM
ap-1055	167	28	2	2	NUM
ap-1055	167	29	0	0	NUM
ap-1055	167	30	1	1	NUM
ap-1055	167	31	1	1	NUM
ap-1055	167	32	�	�	PROPN
ap-1055	167	33	)	)	PUNCT
ap-1055	167	34	cos	cos	PROPN
ap-1055	167	35	(	(	PUNCT
ap-1055	167	36	�	�	PROPN
ap-1055	167	37	)	)	PUNCT
ap-1055	167	38	,	,	PUNCT
ap-1055	167	39	p(a	p(a	PROPN
ap-1055	167	40	�	�	PROPN
ap-1055	167	41	�	�	PROPN
ap-1055	167	42	�	�	PROPN
ap-1055	167	43	�	�	PROPN
ap-1055	167	44	�	�	PROPN
ap-1055	167	45	�	�	PROPN
ap-1055	167	46	1	1	NUM
ap-1055	167	47	1	1	NUM
ap-1055	167	48	11	11	NUM
ap-1055	167	49	14	14	NUM
ap-1055	167	50	(	(	PUNCT
ap-1055	167	51	39	39	NUM
ap-1055	167	52	)	)	PUNCT
ap-1055	167	53	where	where	SCONJ
ap-1055	167	54	the	the	DET
ap-1055	167	55	estimate	estimate	NOUN
ap-1055	167	56	(	(	PUNCT
ap-1055	167	57	39	39	NUM
ap-1055	167	58	)	)	PUNCT
ap-1055	167	59	corresponds	correspond	VERB
ap-1055	167	60	to	to	ADP
ap-1055	167	61	the	the	DET
ap-1055	167	62	occurrence	occurrence	NOUN
ap-1055	167	63	rate	rate	NOUN
ap-1055	167	64	directly	directly	ADV
ap-1055	167	65	estimated	estimate	VERB
ap-1055	167	66	from	from	ADP
ap-1055	167	67	the	the	DET
ap-1055	167	68	time	time	NOUN
ap-1055	167	69	series	series	PROPN
ap-1055	167	70	:	:	PUNCT
ap-1055	167	71	�	�	PROPN
ap-1055	167	72	(	(	PUNCT
ap-1055	167	73	)	)	PUNCT
ap-1055	167	74	(	(	PUNCT
ap-1055	167	75	)	)	PUNCT
ap-1055	167	76	)	)	PUNCT
ap-1055	168	1	p	p	X
ap-1055	168	2	(	(	PUNCT
ap-1055	168	3	a	a	DET
ap-1055	168	4	a	a	DET
ap-1055	168	5	�	�	PROPN
ap-1055	168	6	�	�	PROPN
ap-1055	168	7	�	�	PROPN
ap-1055	168	8	�	�	PROPN
ap-1055	168	9	�	�	PROPN
ap-1055	168	10	�	�	PROPN
ap-1055	168	11	�	�	PROPN
ap-1055	168	12	0	0	NUM
ap-1055	168	13	1	1	NUM
ap-1055	168	14	11	11	NUM
ap-1055	168	15	141	141	NUM
ap-1055	168	16	.	.	PUNCT
ap-1055	169	1	(	(	PUNCT
ap-1055	169	2	40	40	NUM
ap-1055	169	3	)	)	PUNCT
ap-1055	169	4	we	we	PRON
ap-1055	169	5	can	can	AUX
ap-1055	169	6	see	see	VERB
ap-1055	169	7	the	the	DET
ap-1055	169	8	compliance	compliance	NOUN
ap-1055	169	9	between	between	ADP
ap-1055	169	10	(	(	PUNCT
ap-1055	169	11	39	39	NUM
ap-1055	169	12	)	)	PUNCT
ap-1055	169	13	and	and	CCONJ
ap-1055	169	14	(	(	PUNCT
ap-1055	169	15	40	40	NUM
ap-1055	169	16	)	)	PUNCT
ap-1055	169	17	.	.	PUNCT
ap-1055	170	1	7	7	NUM
ap-1055	170	2	conclusion	conclusion	NOUN
ap-1055	170	3	wave	wave	NOUN
ap-1055	170	4	probabilistic	probabilistic	ADJ
ap-1055	170	5	models	model	NOUN
ap-1055	170	6	have	have	AUX
ap-1055	170	7	been	be	AUX
ap-1055	170	8	introduced	introduce	VERB
ap-1055	170	9	and	and	CCONJ
ap-1055	170	10	a	a	DET
ap-1055	170	11	mathematical	mathematical	ADJ
ap-1055	170	12	comparison	comparison	NOUN
ap-1055	170	13	between	between	ADP
ap-1055	170	14	usually	usually	ADV
ap-1055	170	15	used	use	VERB
ap-1055	170	16	probabilistic	probabilistic	ADJ
ap-1055	170	17	models	model	NOUN
ap-1055	170	18	and	and	CCONJ
ap-1055	170	19	wave	wave	NOUN
ap-1055	170	20	probabilistic	probabilistic	ADJ
ap-1055	170	21	models	model	NOUN
ap-1055	170	22	has	have	AUX
ap-1055	170	23	been	be	AUX
ap-1055	170	24	presented	present	VERB
ap-1055	170	25	.	.	PUNCT
ap-1055	171	1	mathematical	mathematical	ADJ
ap-1055	171	2	theory	theory	NOUN
ap-1055	171	3	points	point	VERB
ap-1055	171	4	to	to	ADP
ap-1055	171	5	the	the	DET
ap-1055	171	6	applicability	applicability	NOUN
ap-1055	171	7	of	of	ADP
ap-1055	171	8	wave	wave	NOUN
ap-1055	171	9	probabilistic	probabilistic	ADJ
ap-1055	171	10	models	model	NOUN
ap-1055	171	11	and	and	CCONJ
ap-1055	171	12	their	their	PRON
ap-1055	171	13	special	special	ADJ
ap-1055	171	14	features	feature	NOUN
ap-1055	171	15	.	.	PUNCT
ap-1055	172	1	quantum	quantum	ADJ
ap-1055	172	2	entanglement	entanglement	NOUN
ap-1055	172	3	is	be	AUX
ap-1055	172	4	explained	explain	VERB
ap-1055	172	5	as	as	ADP
ap-1055	172	6	the	the	DET
ap-1055	172	7	consequence	consequence	NOUN
ap-1055	172	8	of	of	ADP
ap-1055	172	9	phase	phase	NOUN
ap-1055	172	10	parameters	parameter	NOUN
ap-1055	172	11	and	and	CCONJ
ap-1055	172	12	it	it	PRON
ap-1055	172	13	can	can	AUX
ap-1055	172	14	be	be	AUX
ap-1055	172	15	interpreted	interpret	VERB
ap-1055	172	16	as	as	ADP
ap-1055	172	17	the	the	DET
ap-1055	172	18	resonance	resonance	NOUN
ap-1055	172	19	principle	principle	NOUN
ap-1055	172	20	of	of	ADP
ap-1055	172	21	wave	wave	NOUN
ap-1055	172	22	functions	function	NOUN
ap-1055	172	23	.	.	PUNCT
ap-1055	173	1	the	the	DET
ap-1055	173	2	results	result	NOUN
ap-1055	173	3	of	of	ADP
ap-1055	173	4	wave	wave	NOUN
ap-1055	173	5	function	function	NOUN
ap-1055	173	6	resonance	resonance	NOUN
ap-1055	173	7	are	be	AUX
ap-1055	173	8	fully	fully	ADV
ap-1055	173	9	deterministic	deterministic	ADJ
ap-1055	173	10	,	,	PUNCT
ap-1055	173	11	spatially	spatially	ADV
ap-1055	173	12	distributed	distribute	VERB
ap-1055	173	13	states	state	NOUN
ap-1055	173	14	with	with	ADP
ap-1055	173	15	many	many	ADJ
ap-1055	173	16	properties	property	NOUN
ap-1055	173	17	.	.	PUNCT
ap-1055	174	1	the	the	DET
ap-1055	174	2	complementarity	complementarity	NOUN
ap-1055	174	3	principle	principle	NOUN
ap-1055	174	4	presents	present	VERB
ap-1055	174	5	the	the	DET
ap-1055	174	6	studied	study	VERB
ap-1055	174	7	time	time	NOUN
ap-1055	174	8	series	series	NOUN
ap-1055	174	9	in	in	ADP
ap-1055	174	10	both	both	DET
ap-1055	174	11	xand	xand	CCONJ
ap-1055	174	12	k	k	NOUN
ap-1055	174	13	-	-	NOUN
ap-1055	174	14	representation	representation	NOUN
ap-1055	174	15	,	,	PUNCT
ap-1055	174	16	where	where	SCONJ
ap-1055	174	17	x	x	NOUN
ap-1055	174	18	-	-	NOUN
ap-1055	174	19	representation	representation	NOUN
ap-1055	174	20	provides	provide	VERB
ap-1055	174	21	us	we	PRON
ap-1055	174	22	with	with	ADP
ap-1055	174	23	probabilities	probability	NOUN
ap-1055	174	24	of	of	ADP
ap-1055	174	25	occurrence	occurrence	NOUN
ap-1055	174	26	of	of	ADP
ap-1055	174	27	different	different	ADJ
ap-1055	174	28	events	event	NOUN
ap-1055	174	29	and	and	CCONJ
ap-1055	174	30	k	k	ADJ
ap-1055	174	31	-	-	PUNCT
ap-1055	174	32	representation	representation	NOUN
ap-1055	174	33	caries	carie	NOUN
ap-1055	174	34	information	information	NOUN
ap-1055	174	35	about	about	ADP
ap-1055	174	36	the	the	DET
ap-1055	174	37	links	link	NOUN
ap-1055	174	38	between	between	ADP
ap-1055	174	39	events	event	NOUN
ap-1055	174	40	and	and	CCONJ
ap-1055	174	41	how	how	SCONJ
ap-1055	174	42	the	the	DET
ap-1055	174	43	time	time	NOUN
ap-1055	174	44	series	series	NOUN
ap-1055	174	45	is	be	AUX
ap-1055	174	46	structured	structure	VERB
ap-1055	174	47	.	.	PUNCT
ap-1055	175	1	the	the	DET
ap-1055	175	2	general	general	ADJ
ap-1055	175	3	estimation	estimation	NOUN
ap-1055	175	4	algorithm	algorithm	NOUN
ap-1055	175	5	for	for	ADP
ap-1055	175	6	phase	phase	NOUN
ap-1055	175	7	parameters	parameter	NOUN
ap-1055	175	8	of	of	ADP
ap-1055	175	9	wave	wave	NOUN
ap-1055	175	10	probabilities	probability	NOUN
ap-1055	175	11	was	be	AUX
ap-1055	175	12	introduced	introduce	VERB
ap-1055	175	13	and	and	CCONJ
ap-1055	175	14	shown	show	VERB
ap-1055	175	15	on	on	ADP
ap-1055	175	16	an	an	DET
ap-1055	175	17	illustrative	illustrative	ADJ
ap-1055	175	18	example	example	NOUN
ap-1055	175	19	–	–	PUNCT
ap-1055	175	20	a	a	DET
ap-1055	175	21	binary	binary	ADJ
ap-1055	175	22	time	time	NOUN
ap-1055	175	23	series	series	NOUN
ap-1055	175	24	.	.	PUNCT
ap-1055	176	1	we	we	PRON
ap-1055	176	2	can	can	AUX
ap-1055	176	3	understand	understand	VERB
ap-1055	176	4	that	that	SCONJ
ap-1055	176	5	this	this	DET
ap-1055	176	6	methodology	methodology	NOUN
ap-1055	176	7	yields	yield	VERB
ap-1055	176	8	into	into	ADP
ap-1055	176	9	new	new	ADJ
ap-1055	176	10	models	model	NOUN
ap-1055	176	11	taking	take	VERB
ap-1055	176	12	into	into	ADP
ap-1055	176	13	account	account	NOUN
ap-1055	176	14	the	the	DET
ap-1055	176	15	structure	structure	NOUN
ap-1055	176	16	of	of	ADP
ap-1055	176	17	time	time	NOUN
ap-1055	176	18	series	series	NOUN
ap-1055	176	19	.	.	PUNCT
ap-1055	177	1	the	the	DET
ap-1055	177	2	application	application	NOUN
ap-1055	177	3	of	of	ADP
ap-1055	177	4	the	the	DET
ap-1055	177	5	methodology	methodology	NOUN
ap-1055	177	6	presented	present	VERB
ap-1055	177	7	here	here	ADV
ap-1055	177	8	for	for	ADP
ap-1055	177	9	non	non	ADJ
ap-1055	177	10	-	-	ADJ
ap-1055	177	11	ergodic	ergodic	ADJ
ap-1055	177	12	time	time	NOUN
ap-1055	177	13	series	series	PROPN
ap-1055	177	14	modelling	modelling	NOUN
ap-1055	177	15	is	be	AUX
ap-1055	177	16	also	also	ADV
ap-1055	177	17	described	describe	VERB
ap-1055	177	18	and	and	CCONJ
ap-1055	177	19	shown	show	VERB
ap-1055	177	20	on	on	ADP
ap-1055	177	21	binary	binary	ADJ
ap-1055	177	22	time	time	NOUN
ap-1055	177	23	series	series	PROPN
ap-1055	177	24	.	.	PUNCT
ap-1055	178	1	this	this	PRON
ap-1055	178	2	opens	open	VERB
ap-1055	178	3	new	new	ADJ
ap-1055	178	4	ways	way	NOUN
ap-1055	178	5	for	for	ADP
ap-1055	178	6	modelling	model	VERB
ap-1055	178	7	non	non	ADJ
ap-1055	178	8	-	-	ADJ
ap-1055	178	9	ergodic	ergodic	ADJ
ap-1055	178	10	or	or	CCONJ
ap-1055	178	11	quasi	quasi	ADJ
ap-1055	178	12	-	-	ADJ
ap-1055	178	13	non	non	ADJ
ap-1055	178	14	-	-	ADJ
ap-1055	178	15	ergodic	ergodic	ADJ
ap-1055	178	16	processes	process	NOUN
ap-1055	178	17	of	of	ADP
ap-1055	178	18	this	this	DET
ap-1055	178	19	kind	kind	NOUN
ap-1055	178	20	.	.	PUNCT
ap-1055	179	1	the	the	DET
ap-1055	179	2	inspiration	inspiration	NOUN
ap-1055	179	3	for	for	ADP
ap-1055	179	4	the	the	DET
ap-1055	179	5	problem	problem	NOUN
ap-1055	179	6	defined	define	VERB
ap-1055	179	7	here	here	ADV
ap-1055	179	8	came	come	VERB
ap-1055	179	9	from	from	ADP
ap-1055	179	10	quantum	quantum	ADJ
ap-1055	179	11	physics	physics	NOUN
ap-1055	179	12	[	[	X
ap-1055	179	13	1	1	NUM
ap-1055	179	14	,	,	PUNCT
ap-1055	179	15	4	4	NUM
ap-1055	179	16	,	,	PUNCT
ap-1055	179	17	6	6	NUM
ap-1055	179	18	,	,	PUNCT
ap-1055	179	19	7	7	NUM
ap-1055	179	20	]	]	PUNCT
ap-1055	179	21	.	.	PUNCT
ap-1055	180	1	the	the	DET
ap-1055	180	2	analogy	analogy	NOUN
ap-1055	180	3	with	with	ADP
ap-1055	180	4	quantum	quantum	ADJ
ap-1055	180	5	mechanics	mechanic	NOUN
ap-1055	180	6	seems	seem	VERB
ap-1055	180	7	very	very	ADV
ap-1055	180	8	interesting	interesting	ADJ
ap-1055	180	9	and	and	CCONJ
ap-1055	180	10	will	will	AUX
ap-1055	180	11	inspire	inspire	VERB
ap-1055	180	12	future	future	ADJ
ap-1055	180	13	work	work	NOUN
ap-1055	180	14	in	in	ADP
ap-1055	180	15	statistical	statistical	ADJ
ap-1055	180	16	modelling	modelling	NOUN
ap-1055	180	17	area	area	NOUN
ap-1055	180	18	and	and	CCONJ
ap-1055	180	19	wave	wave	VERB
ap-1055	180	20	probabilistic	probabilistic	ADJ
ap-1055	180	21	models	model	NOUN
ap-1055	180	22	.	.	PUNCT
ap-1055	181	1	8	8	NUM
ap-1055	181	2	acknowledgments	acknowledgment	NOUN
ap-1055	181	3	this	this	DET
ap-1055	181	4	project	project	NOUN
ap-1055	181	5	was	be	AUX
ap-1055	181	6	supported	support	VERB
ap-1055	181	7	by	by	ADP
ap-1055	181	8	mšmt	mšmt	NOUN
ap-1055	181	9	cost	cost	NOUN
ap-1055	181	10	356	356	NUM
ap-1055	181	11	,	,	PUNCT
ap-1055	181	12	oc194	oc194	PROPN
ap-1055	181	13	and	and	CCONJ
ap-1055	181	14	av	av	PROPN
ap-1055	181	15	čr	čr	PROPN
ap-1055	181	16	,	,	PUNCT
ap-1055	181	17	iaa201240701	iaa201240701	NOUN
ap-1055	181	18	.	.	PUNCT
ap-1055	182	1	references	reference	NOUN
ap-1055	182	2	[	[	X
ap-1055	182	3	1	1	NUM
ap-1055	182	4	]	]	PUNCT
ap-1055	182	5	gold	gold	NOUN
ap-1055	182	6	,	,	PUNCT
ap-1055	182	7	j.	j.	PROPN
ap-1055	182	8	f.	f.	PROPN
ap-1055	182	9	:	:	PUNCT
ap-1055	182	10	knocking	knock	VERB
ap-1055	182	11	on	on	ADP
ap-1055	182	12	the	the	DET
ap-1055	182	13	devil	devil	NOUN
ap-1055	182	14	’s	’s	PART
ap-1055	182	15	door	door	NOUN
ap-1055	182	16	–	–	PUNCT
ap-1055	182	17	a	a	DET
ap-1055	182	18	naive	naive	ADJ
ap-1055	182	19	introduction	introduction	NOUN
ap-1055	182	20	to	to	ADP
ap-1055	182	21	quantum	quantum	ADJ
ap-1055	182	22	mechanics	mechanic	NOUN
ap-1055	182	23	,	,	PUNCT
ap-1055	182	24	tachyon	tachyon	NOUN
ap-1055	182	25	publishing	publishing	NOUN
ap-1055	182	26	company	company	NOUN
ap-1055	182	27	,	,	PUNCT
ap-1055	182	28	1995	1995	NUM
ap-1055	182	29	.	.	PUNCT
ap-1055	183	1	[	[	X
ap-1055	183	2	2	2	NUM
ap-1055	183	3	]	]	X
ap-1055	183	4	raymer	raymer	NOUN
ap-1055	183	5	,	,	PUNCT
ap-1055	183	6	m.	m.	NOUN
ap-1055	183	7	g.	g.	PROPN
ap-1055	183	8	:	:	PUNCT
ap-1055	183	9	measuring	measure	VERB
ap-1055	183	10	the	the	DET
ap-1055	183	11	quantum	quantum	ADJ
ap-1055	183	12	mechanical	mechanical	ADJ
ap-1055	183	13	wave	wave	NOUN
ap-1055	183	14	function	function	NOUN
ap-1055	183	15	.	.	PUNCT
ap-1055	184	1	contemporary	contemporary	ADJ
ap-1055	184	2	physics	physics	PROPN
ap-1055	184	3	,	,	PUNCT
ap-1055	184	4	vol	vol	NOUN
ap-1055	184	5	.	.	PROPN
ap-1055	185	1	38	38	NUM
ap-1055	185	2	(	(	PUNCT
ap-1055	185	3	1997	1997	NUM
ap-1055	185	4	)	)	PUNCT
ap-1055	185	5	,	,	PUNCT
ap-1055	185	6	no	no	INTJ
ap-1055	185	7	.	.	NOUN
ap-1055	185	8	5	5	NUM
ap-1055	185	9	,	,	PUNCT
ap-1055	185	10	p.	p.	NOUN
ap-1055	185	11	343–355	343–355	NUM
ap-1055	185	12	.	.	PUNCT
ap-1055	186	1	[	[	X
ap-1055	186	2	3	3	NUM
ap-1055	186	3	]	]	X
ap-1055	186	4	radon	radon	PROPN
ap-1055	186	5	,	,	PUNCT
ap-1055	186	6	j.	j.	PROPN
ap-1055	186	7	:	:	PUNCT
ap-1055	186	8	über	über	PROPN
ap-1055	186	9	die	die	PROPN
ap-1055	186	10	bestimmung	bestimmung	PROPN
ap-1055	186	11	von	von	PROPN
ap-1055	186	12	funktionen	funktionen	PROPN
ap-1055	186	13	durch	durch	PROPN
ap-1055	186	14	ihre	ihre	PROPN
ap-1055	186	15	interalwerte	interalwerte	NOUN
ap-1055	186	16	längs	läng	NOUN
ap-1055	186	17	gewisser	gewisser	NOUN
ap-1055	186	18	mannigfaltigkeiten	mannigfaltigkeiten	VERB
ap-1055	186	19	.	.	PUNCT
ap-1055	187	1	berichte	berichte	PROPN
ap-1055	187	2	sachsiche	sachsiche	PROPN
ap-1055	187	3	akademie	akademie	PROPN
ap-1055	187	4	der	der	PROPN
ap-1055	187	5	wissenschaften	wissenschaften	NOUN
ap-1055	187	6	,	,	PUNCT
ap-1055	187	7	leipzich	leipzich	ADV
ap-1055	187	8	,	,	PUNCT
ap-1055	187	9	mathematisch	mathematisch	NOUN
ap-1055	187	10	-	-	PUNCT
ap-1055	187	11	physikalische	physikalische	PROPN
ap-1055	187	12	klasse	klasse	NOUN
ap-1055	187	13	,	,	PUNCT
ap-1055	187	14	vol	vol	NOUN
ap-1055	187	15	.	.	PROPN
ap-1055	187	16	69	69	NUM
ap-1055	187	17	(	(	PUNCT
ap-1055	187	18	1917	1917	NUM
ap-1055	187	19	)	)	PUNCT
ap-1055	187	20	,	,	PUNCT
ap-1055	188	1	p.	p.	NOUN
ap-1055	188	2	262–277	262–277	NUM
ap-1055	188	3	.	.	PUNCT
ap-1055	189	1	[	[	X
ap-1055	189	2	4	4	NUM
ap-1055	189	3	]	]	X
ap-1055	189	4	bogdanov	bogdanov	PROPN
ap-1055	189	5	,	,	PUNCT
ap-1055	189	6	yu	yu	PROPN
ap-1055	189	7	.	.	PROPN
ap-1055	189	8	i.	i.	PROPN
ap-1055	189	9	:	:	PUNCT
ap-1055	189	10	the	the	DET
ap-1055	189	11	sixth	sixth	ADJ
ap-1055	189	12	hilbert	hilbert	NOUN
ap-1055	189	13	’s	’s	PART
ap-1055	189	14	problem	problem	NOUN
ap-1055	189	15	and	and	CCONJ
ap-1055	189	16	the	the	DET
ap-1055	189	17	principles	principle	NOUN
ap-1055	189	18	of	of	ADP
ap-1055	189	19	quantum	quantum	ADJ
ap-1055	189	20	informatics	informatic	NOUN
ap-1055	189	21	.	.	PUNCT
ap-1055	190	1	institute	institute	PROPN
ap-1055	190	2	of	of	ADP
ap-1055	190	3	physics	physics	PROPN
ap-1055	190	4	and	and	CCONJ
ap-1055	190	5	technology	technology	NOUN
ap-1055	190	6	,	,	PUNCT
ap-1055	190	7	russian	russian	ADJ
ap-1055	190	8	academy	academy	PROPN
ap-1055	190	9	of	of	ADP
ap-1055	190	10	sciences	sciences	PROPN
ap-1055	190	11	[	[	X
ap-1055	190	12	http://arxiv.org/ftp/quant-ph/papers/0612/0612025.pdf	http://arxiv.org/ftp/quant-ph/papers/0612/0612025.pdf	X
ap-1055	190	13	]	]	X
ap-1055	190	14	[	[	X
ap-1055	190	15	5	5	NUM
ap-1055	190	16	]	]	X
ap-1055	190	17	clifton	clifton	PROPN
ap-1055	190	18	,	,	PUNCT
ap-1055	190	19	r.	r.	PROPN
ap-1055	190	20	:	:	PUNCT
ap-1055	190	21	complementarity	complementarity	NOUN
ap-1055	190	22	between	between	ADP
ap-1055	190	23	position	position	NOUN
ap-1055	190	24	and	and	CCONJ
ap-1055	190	25	momentum	momentum	NOUN
ap-1055	190	26	as	as	ADP
ap-1055	190	27	a	a	DET
ap-1055	190	28	consequence	consequence	NOUN
ap-1055	190	29	of	of	ADP
ap-1055	190	30	kochen	kochen	NOUN
ap-1055	190	31	-	-	PUNCT
ap-1055	190	32	specker	specker	NOUN
ap-1055	190	33	arguments	argument	NOUN
ap-1055	190	34	[	[	X
ap-1055	190	35	http://eprintweb.org/s/article/quant-ph/9912108	http://eprintweb.org/s/article/quant-ph/9912108	X
ap-1055	190	36	]	]	X
ap-1055	190	37	[	[	X
ap-1055	190	38	6	6	NUM
ap-1055	190	39	]	]	PUNCT
ap-1055	190	40	svítek	svítek	NOUN
ap-1055	190	41	,	,	PUNCT
ap-1055	190	42	m.	m.	NOUN
ap-1055	190	43	:	:	PUNCT
ap-1055	190	44	dynamical	dynamical	ADJ
ap-1055	190	45	systems	system	NOUN
ap-1055	190	46	with	with	ADP
ap-1055	190	47	reduced	reduced	ADJ
ap-1055	190	48	dimensionality	dimensionality	NOUN
ap-1055	190	49	.	.	PUNCT
ap-1055	191	1	monograph	monograph	PROPN
ap-1055	191	2	nnw	nnw	PROPN
ap-1055	191	3	no	no	PROPN
ap-1055	191	4	.	.	PROPN
ap-1055	191	5	6	6	NUM
ap-1055	191	6	,	,	PUNCT
ap-1055	191	7	czech	czech	PROPN
ap-1055	191	8	academy	academy	NOUN
ap-1055	191	9	of	of	ADP
ap-1055	191	10	science	science	PROPN
ap-1055	191	11	,	,	PUNCT
ap-1055	191	12	2006	2006	NUM
ap-1055	191	13	,	,	PUNCT
ap-1055	191	14	161	161	NUM
ap-1055	191	15	p.	p.	NOUN
ap-1055	191	16	,	,	PUNCT
ap-1055	191	17	isbn	isbn	ADJ
ap-1055	191	18	80	80	NUM
ap-1055	191	19	-	-	SYM
ap-1055	191	20	903298	903298	NUM
ap-1055	191	21	-	-	PUNCT
ap-1055	191	22	6	6	NUM
ap-1055	191	23	-	-	SYM
ap-1055	191	24	1	1	NUM
ap-1055	191	25	.	.	PUNCT
ap-1055	192	1	[	[	X
ap-1055	192	2	7	7	NUM
ap-1055	192	3	]	]	X
ap-1055	192	4	svítek	svítek	NOUN
ap-1055	192	5	,	,	PUNCT
ap-1055	192	6	m.	m.	NOUN
ap-1055	192	7	:	:	PUNCT
ap-1055	192	8	probabilistic	probabilistic	ADJ
ap-1055	192	9	multi	multi	NOUN
ap-1055	192	10	-	-	ADJ
ap-1055	192	11	modeling	modeling	ADJ
ap-1055	192	12	by	by	ADP
ap-1055	192	13	quantum	quantum	ADJ
ap-1055	192	14	calculus	calculus	NOUN
ap-1055	192	15	.	.	PUNCT
ap-1055	193	1	in	in	ADP
ap-1055	193	2	ictta’06	ictta’06	PROPN
ap-1055	193	3	,	,	PUNCT
ap-1055	193	4	ieee	ieee	NOUN
ap-1055	193	5	conference	conference	PROPN
ap-1055	193	6	damascus	damascus	PROPN
ap-1055	193	7	,	,	PUNCT
ap-1055	193	8	syria	syria	PROPN
ap-1055	193	9	,	,	PUNCT
ap-1055	193	10	2006	2006	NUM
ap-1055	193	11	.	.	PUNCT
ap-1055	194	1	[	[	X
ap-1055	194	2	8	8	NUM
ap-1055	194	3	]	]	X
ap-1055	194	4	deutsch	deutsch	PROPN
ap-1055	194	5	,	,	PUNCT
ap-1055	194	6	d.	d.	PROPN
ap-1055	194	7	:	:	PUNCT
ap-1055	194	8	quantum	quantum	PROPN
ap-1055	194	9	theory	theory	NOUN
ap-1055	194	10	,	,	PUNCT
ap-1055	194	11	the	the	DET
ap-1055	194	12	church	church	NOUN
ap-1055	194	13	-	-	PUNCT
ap-1055	194	14	turing	ture	VERB
ap-1055	194	15	principle	principle	NOUN
ap-1055	194	16	and	and	CCONJ
ap-1055	194	17	the	the	DET
ap-1055	194	18	universal	universal	ADJ
ap-1055	194	19	quantum	quantum	ADJ
ap-1055	194	20	computer	computer	NOUN
ap-1055	194	21	,	,	PUNCT
ap-1055	194	22	proceedings	proceeding	NOUN
ap-1055	194	23	of	of	ADP
ap-1055	194	24	the	the	DET
ap-1055	194	25	royal	royal	ADJ
ap-1055	194	26	society	society	NOUN
ap-1055	194	27	of	of	ADP
ap-1055	194	28	london	london	PROPN
ap-1055	194	29	series	series	PROPN
ap-1055	194	30	a400	a400	PROPN
ap-1055	194	31	,	,	PUNCT
ap-1055	194	32	1985	1985	NUM
ap-1055	194	33	,	,	PUNCT
ap-1055	194	34	p.	p.	NOUN
ap-1055	194	35	97–117	97–117	NUM
ap-1055	194	36	.	.	PUNCT
ap-1055	195	1	46	46	NUM
ap-1055	196	1	©	©	PROPN
ap-1055	196	2	czech	czech	PROPN
ap-1055	196	3	technical	technical	PROPN
ap-1055	196	4	university	university	PROPN
ap-1055	196	5	publishing	publishing	NOUN
ap-1055	196	6	house	house	NOUN
ap-1055	196	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-1055	196	8	acta	acta	PROPN
ap-1055	196	9	polytechnica	polytechnica	PROPN
ap-1055	196	10	vol	vol	NOUN
ap-1055	196	11	.	.	PUNCT
ap-1055	197	1	48	48	NUM
ap-1055	197	2	no	no	NOUN
ap-1055	197	3	.	.	PUNCT
ap-1055	198	1	5/2008	5/2008	PROPN
ap-1055	199	1	[	[	X
ap-1055	199	2	9	9	NUM
ap-1055	199	3	]	]	X
ap-1055	199	4	lawden	lawden	PROPN
ap-1055	199	5	,	,	PUNCT
ap-1055	199	6	d.	d.	PROPN
ap-1055	199	7	f.	f.	PROPN
ap-1055	199	8	:	:	PUNCT
ap-1055	200	1	the	the	DET
ap-1055	200	2	mathematical	mathematical	ADJ
ap-1055	200	3	principles	principle	NOUN
ap-1055	200	4	of	of	ADP
ap-1055	200	5	quantum	quantum	ADJ
ap-1055	200	6	mechanics	mechanic	NOUN
ap-1055	200	7	.	.	PUNCT
ap-1055	201	1	dover	dover	PROPN
ap-1055	201	2	publication	publication	PROPN
ap-1055	201	3	,	,	PUNCT
ap-1055	201	4	inc	inc	PROPN
ap-1055	201	5	.	.	PROPN
ap-1055	201	6	,	,	PUNCT
ap-1055	201	7	mineola	mineola	PROPN
ap-1055	201	8	,	,	PUNCT
ap-1055	201	9	new	new	PROPN
ap-1055	201	10	york	york	PROPN
ap-1055	201	11	,	,	PUNCT
ap-1055	201	12	1995	1995	NUM
ap-1055	201	13	,	,	PUNCT
ap-1055	201	14	isbn	isbn	ADJ
ap-1055	201	15	0	0	NUM
ap-1055	201	16	-	-	SYM
ap-1055	201	17	486	486	NUM
ap-1055	201	18	-	-	PUNCT
ap-1055	201	19	44223	44223	NUM
ap-1055	201	20	-	-	PUNCT
ap-1055	201	21	3	3	NUM
ap-1055	201	22	.	.	PUNCT
ap-1055	202	1	[	[	X
ap-1055	202	2	10	10	NUM
ap-1055	202	3	]	]	PUNCT
ap-1055	202	4	svítek	svítek	NOUN
ap-1055	202	5	,	,	PUNCT
ap-1055	202	6	m.	m.	NOUN
ap-1055	202	7	:	:	PUNCT
ap-1055	202	8	complementary	complementary	ADJ
ap-1055	202	9	variables	variable	NOUN
ap-1055	202	10	and	and	CCONJ
ap-1055	202	11	its	its	PRON
ap-1055	202	12	application	application	NOUN
ap-1055	202	13	in	in	ADP
ap-1055	202	14	statistics	statistic	NOUN
ap-1055	202	15	.	.	PUNCT
ap-1055	203	1	neural	neural	ADJ
ap-1055	203	2	network	network	NOUN
ap-1055	203	3	world	world	NOUN
ap-1055	203	4	,	,	PUNCT
ap-1055	203	5	2007	2007	NUM
ap-1055	203	6	,	,	PUNCT
ap-1055	203	7	no	no	INTJ
ap-1055	203	8	.	.	NOUN
ap-1055	203	9	3	3	NUM
ap-1055	203	10	,	,	PUNCT
ap-1055	203	11	prague	prague	NOUN
ap-1055	203	12	,	,	PUNCT
ap-1055	203	13	p.	p.	NOUN
ap-1055	203	14	237–253	237–253	NUM
ap-1055	203	15	.	.	PUNCT
ap-1055	204	1	[	[	X
ap-1055	204	2	11	11	NUM
ap-1055	204	3	]	]	PUNCT
ap-1055	204	4	svítek	svítek	NOUN
ap-1055	204	5	,	,	PUNCT
ap-1055	204	6	m.	m.	NOUN
ap-1055	204	7	,	,	PUNCT
ap-1055	204	8	novovičová	novovičová	ADV
ap-1055	204	9	,	,	PUNCT
ap-1055	204	10	j.	j.	PROPN
ap-1055	204	11	:	:	PUNCT
ap-1055	204	12	performance	performance	NOUN
ap-1055	204	13	parameters	parameter	NOUN
ap-1055	204	14	definition	definition	NOUN
ap-1055	204	15	and	and	CCONJ
ap-1055	204	16	processing	processing	NOUN
ap-1055	204	17	.	.	PUNCT
ap-1055	205	1	neural	neural	ADJ
ap-1055	205	2	network	network	NOUN
ap-1055	205	3	world	world	NOUN
ap-1055	205	4	,	,	PUNCT
ap-1055	205	5	2005	2005	NUM
ap-1055	205	6	,	,	PUNCT
ap-1055	205	7	no	no	INTJ
ap-1055	205	8	.	.	NOUN
ap-1055	205	9	6	6	NUM
ap-1055	205	10	,	,	PUNCT
ap-1055	205	11	p.	p.	NOUN
ap-1055	205	12	567–577	567–577	NUM
ap-1055	205	13	.	.	PUNCT
ap-1055	206	1	[	[	X
ap-1055	206	2	12	12	NUM
ap-1055	206	3	]	]	PUNCT
ap-1055	206	4	svítek	svítek	NOUN
ap-1055	206	5	,	,	PUNCT
ap-1055	206	6	m.	m.	NOUN
ap-1055	206	7	:	:	PUNCT
ap-1055	206	8	theory	theory	NOUN
ap-1055	206	9	and	and	CCONJ
ap-1055	206	10	algorithm	algorithm	NOUN
ap-1055	206	11	for	for	ADP
ap-1055	206	12	time	time	NOUN
ap-1055	206	13	series	series	PROPN
ap-1055	206	14	compression	compression	PROPN
ap-1055	206	15	,	,	PUNCT
ap-1055	206	16	neural	neural	ADJ
ap-1055	206	17	network	network	NOUN
ap-1055	206	18	world	world	NOUN
ap-1055	206	19	,	,	PUNCT
ap-1055	206	20	2005	2005	NUM
ap-1055	206	21	,	,	PUNCT
ap-1055	206	22	no	no	INTJ
ap-1055	206	23	.	.	NOUN
ap-1055	206	24	1	1	NUM
ap-1055	206	25	,	,	PUNCT
ap-1055	206	26	p.	p.	NOUN
ap-1055	206	27	53–67	53–67	NUM
ap-1055	206	28	.	.	PUNCT
ap-1055	207	1	[	[	X
ap-1055	207	2	13	13	NUM
ap-1055	207	3	]	]	X
ap-1055	207	4	clarke	clarke	PROPN
ap-1055	207	5	,	,	PUNCT
ap-1055	207	6	c.	c.	PROPN
ap-1055	207	7	j.	j.	PROPN
ap-1055	207	8	s.	s.	PROPN
ap-1055	208	1	the	the	DET
ap-1055	208	2	role	role	NOUN
ap-1055	208	3	of	of	ADP
ap-1055	208	4	quantum	quantum	ADJ
ap-1055	208	5	physics	physics	NOUN
ap-1055	208	6	in	in	ADP
ap-1055	208	7	the	the	DET
ap-1055	208	8	theory	theory	NOUN
ap-1055	208	9	of	of	ADP
ap-1055	208	10	subjective	subjective	ADJ
ap-1055	208	11	consciousness	consciousness	NOUN
ap-1055	208	12	.	.	PUNCT
ap-1055	209	1	mind	mind	NOUN
ap-1055	209	2	and	and	CCONJ
ap-1055	209	3	matter	matter	NOUN
ap-1055	209	4	,	,	PUNCT
ap-1055	209	5	vol	vol	NOUN
ap-1055	209	6	.	.	PROPN
ap-1055	209	7	5	5	NUM
ap-1055	209	8	(	(	PUNCT
ap-1055	209	9	2007	2007	NUM
ap-1055	209	10	)	)	PUNCT
ap-1055	209	11	,	,	PUNCT
ap-1055	209	12	no	no	INTJ
ap-1055	209	13	.	.	NOUN
ap-1055	209	14	1	1	NUM
ap-1055	209	15	,	,	PUNCT
ap-1055	209	16	p.	p.	NOUN
ap-1055	209	17	45–81	45–81	NUM
ap-1055	209	18	.	.	PUNCT
ap-1055	210	1	[	[	X
ap-1055	210	2	14	14	NUM
ap-1055	210	3	]	]	X
ap-1055	210	4	vedral	vedral	ADJ
ap-1055	210	5	,	,	PUNCT
ap-1055	210	6	v.	v.	ADJ
ap-1055	210	7	:	:	PUNCT
ap-1055	210	8	introduction	introduction	NOUN
ap-1055	210	9	to	to	ADP
ap-1055	210	10	quantum	quantum	ADJ
ap-1055	210	11	information	information	NOUN
ap-1055	210	12	science	science	NOUN
ap-1055	210	13	,	,	PUNCT
ap-1055	210	14	oxford	oxford	PROPN
ap-1055	210	15	university	university	PROPN
ap-1055	210	16	press	press	NOUN
ap-1055	210	17	,	,	PUNCT
ap-1055	210	18	2006	2006	NUM
ap-1055	210	19	.	.	PUNCT
ap-1055	211	1	[	[	X
ap-1055	211	2	15	15	NUM
ap-1055	211	3	]	]	PUNCT
ap-1055	211	4	svítek	svítek	NOUN
ap-1055	211	5	m.	m.	NOUN
ap-1055	211	6	:	:	PUNCT
ap-1055	211	7	wave	wave	VERB
ap-1055	211	8	probabilistic	probabilistic	ADJ
ap-1055	211	9	models	model	NOUN
ap-1055	211	10	.	.	PUNCT
ap-1055	212	1	neural	neural	ADJ
ap-1055	212	2	network	network	NOUN
ap-1055	212	3	world	world	NOUN
ap-1055	212	4	,	,	PUNCT
ap-1055	212	5	2007	2007	NUM
ap-1055	212	6	,	,	PUNCT
ap-1055	212	7	no	no	INTJ
ap-1055	212	8	.	.	NOUN
ap-1055	212	9	5	5	NUM
ap-1055	212	10	,	,	PUNCT
ap-1055	212	11	p.	p.	NOUN
ap-1055	212	12	469–481	469–481	NUM
ap-1055	212	13	.	.	PUNCT
ap-1055	213	1	[	[	X
ap-1055	213	2	16	16	NUM
ap-1055	213	3	]	]	PUNCT
ap-1055	213	4	svítek	svítek	NOUN
ap-1055	213	5	,	,	PUNCT
ap-1055	213	6	m.	m.	NOUN
ap-1055	213	7	:	:	PUNCT
ap-1055	213	8	quantum	quantum	NOUN
ap-1055	213	9	system	system	NOUN
ap-1055	213	10	modelling	modelling	NOUN
ap-1055	213	11	.	.	PUNCT
ap-1055	214	1	international	international	ADJ
ap-1055	214	2	journal	journal	PROPN
ap-1055	214	3	on	on	ADP
ap-1055	214	4	general	general	ADJ
ap-1055	214	5	systems	system	NOUN
ap-1055	214	6	,	,	PUNCT
ap-1055	214	7	vol	vol	NOUN
ap-1055	214	8	.	.	PROPN
ap-1055	214	9	37	37	NUM
ap-1055	214	10	(	(	PUNCT
ap-1055	214	11	2008	2008	NUM
ap-1055	214	12	)	)	PUNCT
ap-1055	214	13	,	,	PUNCT
ap-1055	214	14	no	no	INTJ
ap-1055	214	15	.	.	NOUN
ap-1055	214	16	5	5	NUM
ap-1055	214	17	,	,	PUNCT
ap-1055	214	18	p.	p.	NOUN
ap-1055	214	19	603–626	603–626	NUM
ap-1055	214	20	,	,	PUNCT
ap-1055	214	21	.	.	PUNCT
ap-1055	215	1	prof	prof	PROPN
ap-1055	215	2	.	.	PUNCT
ap-1055	216	1	dr	dr	PROPN
ap-1055	216	2	.	.	PROPN
ap-1055	216	3	ing	ing	PROPN
ap-1055	216	4	.	.	PROPN
ap-1055	217	1	miroslav	miroslav	PROPN
ap-1055	217	2	svítek	svítek	PROPN
ap-1055	217	3	phone	phone	NOUN
ap-1055	217	4	:	:	PUNCT
ap-1055	217	5	+420	+420	PROPN
ap-1055	217	6	224	224	NUM
ap-1055	217	7	359	359	NUM
ap-1055	217	8	631	631	NUM
ap-1055	217	9	fax	fax	NOUN
ap-1055	217	10	:	:	PUNCT
ap-1055	217	11	+420	+420	NUM
ap-1055	218	1	224	224	NUM
ap-1055	218	2	359	359	NUM
ap-1055	218	3	545	545	NUM
ap-1055	218	4	e	e	NOUN
ap-1055	218	5	-	-	NOUN
ap-1055	218	6	mail	mail	NOUN
ap-1055	218	7	:	:	PUNCT
ap-1055	218	8	svitek@fd.cvut.cz	svitek@fd.cvut.cz	NOUN
ap-1055	218	9	department	department	NOUN
ap-1055	218	10	of	of	ADP
ap-1055	218	11	control	control	NOUN
ap-1055	218	12	and	and	CCONJ
ap-1055	218	13	telematics	telematic	NOUN
ap-1055	218	14	czech	czech	PROPN
ap-1055	218	15	technical	technical	PROPN
ap-1055	218	16	university	university	PROPN
ap-1055	218	17	in	in	ADP
ap-1055	218	18	prague	prague	PROPN
ap-1055	218	19	faculty	faculty	NOUN
ap-1055	218	20	of	of	ADP
ap-1055	218	21	transportation	transportation	NOUN
ap-1055	218	22	sciences	sciences	PROPN
ap-1055	218	23	konviktská	konviktská	NOUN
ap-1055	218	24	20	20	NUM
ap-1055	218	25	110	110	NUM
ap-1055	218	26	00	00	NUM
ap-1055	218	27	prague	prague	PROPN
ap-1055	218	28	1	1	NUM
ap-1055	218	29	,	,	PUNCT
ap-1055	218	30	czech	czech	PROPN
ap-1055	218	31	republic	republic	NOUN
ap-1055	218	32	©	©	PROPN
ap-1055	218	33	czech	czech	PROPN
ap-1055	218	34	technical	technical	PROPN
ap-1055	218	35	university	university	PROPN
ap-1055	218	36	publishing	publishing	NOUN
ap-1055	218	37	house	house	NOUN
ap-1055	218	38	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-1055	218	39	47	47	NUM
ap-1055	218	40	acta	acta	PROPN
ap-1055	218	41	polytechnica	polytechnica	PROPN
ap-1055	218	42	vol	vol	NOUN
ap-1055	218	43	.	.	PUNCT
ap-1055	219	1	48	48	NUM
ap-1055	219	2	no	no	NOUN
ap-1055	219	3	.	.	PUNCT
ap-1055	220	1	5/2008	5/2008	NOUN