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Quantization and asymptotic behaviour of εvk quantum random walk on integers

Ellinas Dimosthenis, Smyrnakis Ioannis

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URIhttp://purl.tuc.gr/dl/dias/BFB6C7B6-DA3B-41A8-93F9-CE88647302F3-
Identifierhttp://www.sciencedirect.com/science/article/pii/S0378437106000471-
Identifierhttps://doi.org/10.1016/j.physa.2006.01.008-
Languageen-
Extent7 pagesen
TitleQuantization and asymptotic behaviour of εvk quantum random walk on integers el
CreatorEllinas Dimosthenisen
CreatorΕλληνας Δημοσθενηςel
CreatorSmyrnakis Ioannisen
PublisherElsevieren
Content SummaryQuantization and asymptotic behaviour of a variant of discrete random walk on integers are investigated. This variant, the εVk walk, has the novel feature that it uses many identical quantum coins keeping at the same time characteristic quantum features like the quadratically faster than the classical spreading rate, and unexpected distribution cutoffs. A weak limit of the position probability distribution (pd) is obtained, and universal properties of this arch sine asymptotic distribution function are examined. Questions of driving the walk are investigated by means of a quantum optical interaction model that reveals robustness of quantum features of walker's asymptotic pd, against stimulated and spontaneous quantum noise on the coin system.el
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2015-11-09-
Date of Publication2006-
SubjectQuantum random walksen
SubjectCavity QEDen
SubjectCompletely positive mapsen
SubjectOpen quantum systemsen
Bibliographic CitationD. Ellinas and I. Smyrnakis, "Quantization and asymptotic behaviour of εvk quantum random walk on integers," Physica A Stat. Mech. Applicat., vol. 365, no. 1, pp. 222-228, Jun. 2006. doi:10.1016/j.physa.2006.01.008el

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