Classical-like behavior in quantum walks with inhomogeneous, time-dependent coin operators

Although quantum walks exhibit peculiar properties that distinguish them from random walks, classical behavior can be recovered in the asymptotic limit by destroying the coherence of the pure state associated to the quantum system. Here I show that this is not the only way: I introduce a quantum wal...

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Detalhes bibliográficos
Autor: Montero Torralbo, Miquel
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2016
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositório:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/101991
Acesso em linha:https://hdl.handle.net/2445/101991
Access Level:Acceso aberto
Palavra-chave:Rutes aleatòries (Matemàtica)
Física matemàtica
Partícules (Física nuclear)
Random walks (Mathematics)
Mathematical physics
Particles (Nuclear physics)
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spelling Classical-like behavior in quantum walks with inhomogeneous, time-dependent coin operatorsMontero Torralbo, MiquelRutes aleatòries (Matemàtica)Física matemàticaPartícules (Física nuclear)Random walks (Mathematics)Mathematical physicsParticles (Nuclear physics)Although quantum walks exhibit peculiar properties that distinguish them from random walks, classical behavior can be recovered in the asymptotic limit by destroying the coherence of the pure state associated to the quantum system. Here I show that this is not the only way: I introduce a quantum walk driven by an inhomogeneous, time-dependent coin operator, which mimics the statistical properties of a random walk at all time scales. The quantum particle undergoes unitary evolution and, in fact, the high correlation evidenced by the components of the wave function can be used to revert the outcome of an accidental measurement of its chirality.American Physical Society2016201620162016info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion7 p.application/pdfapplication/pdfhttps://hdl.handle.net/2445/101991Articles publicats en revistes (Física de la Matèria Condensada)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevA.93.062316Physical Review A, 2016, vol. 93, num. 6, p. 062316-062316http://dx.doi.org/10.1103/PhysRevA.93.062316(c) American Physical Society, 2016info:eu-repo/semantics/openAccessoai:recercat.cat:2445/1019912026-05-29T05:05:01Z
dc.title.none.fl_str_mv Classical-like behavior in quantum walks with inhomogeneous, time-dependent coin operators
title Classical-like behavior in quantum walks with inhomogeneous, time-dependent coin operators
spellingShingle Classical-like behavior in quantum walks with inhomogeneous, time-dependent coin operators
Montero Torralbo, Miquel
Rutes aleatòries (Matemàtica)
Física matemàtica
Partícules (Física nuclear)
Random walks (Mathematics)
Mathematical physics
Particles (Nuclear physics)
title_short Classical-like behavior in quantum walks with inhomogeneous, time-dependent coin operators
title_full Classical-like behavior in quantum walks with inhomogeneous, time-dependent coin operators
title_fullStr Classical-like behavior in quantum walks with inhomogeneous, time-dependent coin operators
title_full_unstemmed Classical-like behavior in quantum walks with inhomogeneous, time-dependent coin operators
title_sort Classical-like behavior in quantum walks with inhomogeneous, time-dependent coin operators
dc.creator.none.fl_str_mv Montero Torralbo, Miquel
author Montero Torralbo, Miquel
author_facet Montero Torralbo, Miquel
author_role author
dc.subject.none.fl_str_mv Rutes aleatòries (Matemàtica)
Física matemàtica
Partícules (Física nuclear)
Random walks (Mathematics)
Mathematical physics
Particles (Nuclear physics)
topic Rutes aleatòries (Matemàtica)
Física matemàtica
Partícules (Física nuclear)
Random walks (Mathematics)
Mathematical physics
Particles (Nuclear physics)
description Although quantum walks exhibit peculiar properties that distinguish them from random walks, classical behavior can be recovered in the asymptotic limit by destroying the coherence of the pure state associated to the quantum system. Here I show that this is not the only way: I introduce a quantum walk driven by an inhomogeneous, time-dependent coin operator, which mimics the statistical properties of a random walk at all time scales. The quantum particle undergoes unitary evolution and, in fact, the high correlation evidenced by the components of the wave function can be used to revert the outcome of an accidental measurement of its chirality.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016
2016
2016
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/101991
url https://hdl.handle.net/2445/101991
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevA.93.062316
Physical Review A, 2016, vol. 93, num. 6, p. 062316-062316
http://dx.doi.org/10.1103/PhysRevA.93.062316
dc.rights.none.fl_str_mv (c) American Physical Society, 2016
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Physical Society, 2016
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 7 p.
application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física de la Matèria Condensada)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812429

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