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  • We investigate quantum walks in multiple dimensions with different quantum coins. We augment the model by assuming that at each step the amplitudes of the coin state are multiplied by random phases. This model enables us to study in detail the role of decoherence in quantum walks and to investigate the quantum-to-classical transition. We also provide classical analog of the quantum random walks studied. Interestingly enough, it turns out that the classical counterparts of some quantum random walks are classical random walks with a memory and biased coin. In addition random phase shifts "simplify" the dynamics (the cross-interference terms of different paths vanish on average) and enable us to give a compact formula for the dispersion of such walks.
  • We investigate quantum walks in multiple dimensions with different quantum coins. We augment the model by assuming that at each step the amplitudes of the coin state are multiplied by random phases. This model enables us to study in detail the role of decoherence in quantum walks and to investigate the quantum-to-classical transition. We also provide classical analog of the quantum random walks studied. Interestingly enough, it turns out that the classical counterparts of some quantum random walks are classical random walks with a memory and biased coin. In addition random phase shifts "simplify" the dynamics (the cross-interference terms of different paths vanish on average) and enable us to give a compact formula for the dispersion of such walks. (en)
Title
  • Quantum walks with random phase shifts
  • Quantum walks with random phase shifts (en)
skos:prefLabel
  • Quantum walks with random phase shifts
  • Quantum walks with random phase shifts (en)
skos:notation
  • RIV/00216224:14330/06:00016170!RIV10-GA0-14330___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/04/1153), Z(MSM0021622419)
http://linked.open...iv/cisloPeriodika
  • No. 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 496226
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14330/06:00016170
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • quantum walk (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [BD4F4BE047CD]
http://linked.open...i/riv/nazevZdroje
  • Physical Review A
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • Vol. 74
http://linked.open...iv/tvurceVysledku
  • Bužek, Vladimír
  • Hillery, Mark
  • Košík, Jozef
http://linked.open...ain/vavai/riv/wos
  • 000240238300027
http://linked.open...n/vavai/riv/zamer
issn
  • 1050-2947
number of pages
http://localhost/t...ganizacniJednotka
  • 14330
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