Decoherence vs entanglement in coined quantum walks

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dc.creatorMaloyer, Olivier
dc.creatorKendon, Viv
dc.date2006-12-29
dc.date2007-03-11
dc.date.accessioned2026-07-07T08:20:22Z
dc.date.available2026-07-07T08:20:22Z
dc.descriptionQuantum versions of random walks on the line and cycle show a quadratic improvement in their spreading rate and mixing times respectively. The addition of decoherence to the quantum walk produces a more uniform distribution on the line, and even faster mixing on the cycle by removing the need for time-averaging to obtain a uniform distribution. We calculate numerically the entanglement between the coin and the position of the quantum walker and show that the optimal decoherence rates are such that all the entanglement is just removed by the time the final measurement is made.
dc.description11 pages, 6 embedded eps figures; v2 improved layout and discussion
dc.identifierhttps://arxiv.org/abs/quant-ph/0612229
dc.identifierhttp://arxiv.org/abs/quant-ph/0612229
dc.identifierNew J. Phys. 9 (2007) 87
dc.identifierdoi:10.1088/1367-2630/9/4/087
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135051
dc.subjectQuantum Physics
dc.titleDecoherence vs entanglement in coined quantum walks
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