On the Probability of Finding Marked Connected Components Using Quantum Walks

dc.contributor.author	Khadiev K.
dc.contributor.author	Nahimovs N.
dc.contributor.author	Santos R.
dc.date.accessioned	2019-01-22T20:51:47Z
dc.date.available	2019-01-22T20:51:47Z
dc.date.issued	2018
dc.identifier.issn	1995-0802
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/149149
dc.description.abstract	© 2018, Pleiades Publishing, Ltd. Finding a marked vertex in a graph can be a complicated task when using quantum walks. Recent results show that for two or more adjacent marked vertices search by quantum walk with Grover’s coin may have no speed-up over classical exhaustive search. In this paper, we analyze the probability of finding a marked vertex for a set of connected components of marked vertices. We prove two upper bounds on the probability of finding a marked vertex and sketch further research directions.
dc.relation.ispartofseries	Lobachevskii Journal of Mathematics
dc.subject	exceptional configurations
dc.subject	Quantum computing
dc.subject	quantum walks
dc.subject	stationary states
dc.title	On the Probability of Finding Marked Connected Components Using Quantum Walks
dc.type	Article
dc.relation.ispartofseries-issue	7
dc.relation.ispartofseries-volume	39
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	1016
dc.source.id	SCOPUS19950802-2018-39-7-SID85053511171

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Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.