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Chirality asymptotic behavior and non-Markovianity in quantum walks on a line

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Chirality asymptotic behavior and non-Markovianity in quantum walks on a line

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dc.contributor.author Hinarejos Doménech, Margarida
dc.contributor.author Di Franco, Carlo
dc.contributor.author Romanelli, A.
dc.contributor.author Pérez Cañellas, Armando
dc.date.accessioned 2015-04-10T06:21:40Z
dc.date.available 2015-04-10T06:21:40Z
dc.date.issued 2014
dc.identifier.citation Hinarejos Doménech, Margarida Di Franco, Carlo Romanelli, A. Pérez Cañellas, Armando 2014 Chirality asymptotic behavior and non-Markovianity in quantum walks on a line Physical Review A 89 5 052330-1 052330-7
dc.identifier.uri http://hdl.handle.net/10550/42963
dc.description.abstract We investigate the time evolution of the chirality reduced density matrix for a discrete-time quantum walk on a one-dimensional lattice. The matrix is obtained by tracing out the spatial degree of freedom. We analyze the standard case, without decoherence, and the situation in which decoherence appears in the form of broken links in the lattice. By examining the trace distance for possible pairs of initial states as a function of time, we conclude that the evolution of the reduced density matrix is non-Markovian, in the sense defined by Breuer, Laine, and Piilo [Phys. Rev. Lett. 103, 210401 (2009)]. As the level of noise increases, the dynamics approaches a Markovian process. The highest non-Markovianity corresponds to the case without decoherence. The reduced density matrix tends always to a well-defined limit that we calculate, but only in the decoherence-free case is this limit nontrivial.
dc.language.iso eng
dc.relation.ispartof Physical Review A, 2014, vol. 89, num. 5, p. 052330-1-052330-7
dc.subject Física
dc.title Chirality asymptotic behavior and non-Markovianity in quantum walks on a line
dc.type journal article es_ES
dc.date.updated 2015-04-10T06:21:40Z
dc.identifier.doi 10.1103/PhysRevA.89.052330
dc.identifier.idgrec 099208
dc.rights.accessRights open access es_ES

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