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dc.contributor.authorLi, Dan
dc.contributor.authorGettrick, Michael Mc
dc.contributor.authorZhang, Wei-Wei
dc.contributor.authorZhang, Ke-Jia
dc.date.accessioned2018-09-20T16:04:59Z
dc.date.available2018-09-20T16:04:59Z
dc.date.issued2015-04-30
dc.identifier.citationLi, Dan; Gettrick, Michael Mc; Zhang, Wei-Wei; Zhang, Ke-Jia (2015). One-dimensional lazy quantum walks and occupancy rate. Chinese Physics B 24 (5),
dc.identifier.issn1674-1056
dc.identifier.urihttp://hdl.handle.net/10379/11040
dc.description.abstractIn this paper, we discuss the properties of lazy quantum walks. Our analysis shows that the lazy quantum walks have O(t(n)) order of the n-th moment of the corresponding probability distribution, which is the same as that for normal quantum walks. The lazy quantum walk with a discrete Fourier transform (DFT) coin operator has a similar probability distribution concentrated interval to that of the normal Hadamard quantum walk. Most importantly, we introduce the concepts of occupancy number and occupancy rate to measure the extent to which the walk has a (relatively) high probability at every position in its range. We conclude that the lazy quantum walks have a higher occupancy rate than other walks such as normal quantum walks, classical walks, and lazy classical walks.
dc.publisherIOP Publishing
dc.relation.ispartofChinese Physics B
dc.subjectlazy quantum walk
dc.subjectoccupancy number
dc.subjectoccupancy rate
dc.subjectentanglement
dc.titleOne-dimensional lazy quantum walks and occupancy rate
dc.typeArticle
dc.identifier.doi10.1088/1674-1056/24/5/050305
dc.local.publishedsourcehttp://arxiv.org/pdf/1412.6891
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