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Description
  • We analyze the recurrence probability (Pólya number) for d-dimensional unbiased quantum walks. A sufficient condition for a quantum walk to be recurrent is derived. As a by-product we find a simple criterion for localization of quantum walks. In contrast with classical walks, where the Pólya number is characteristic for the given dimension, the recurrence probability of a quantum walk depends in general on the topology of the walk, choice of the coin and the initial state. This allows us to change the character of the quantum walk from recurrent to transient by altering the initial state.
  • We analyze the recurrence probability (Pólya number) for d-dimensional unbiased quantum walks. A sufficient condition for a quantum walk to be recurrent is derived. As a by-product we find a simple criterion for localization of quantum walks. In contrast with classical walks, where the Pólya number is characteristic for the given dimension, the recurrence probability of a quantum walk depends in general on the topology of the walk, choice of the coin and the initial state. This allows us to change the character of the quantum walk from recurrent to transient by altering the initial state. (en)
  • Analyzujeme pravděpodobnost návratu chodce pro d-rozměrné vyvážené kvantové procházky. Prezentujeme analytický tvar pro rekurenci náhodného chození. (cs)
Title
  • Recurrence and Pólya Number of Quantum Walks
  • Recurrence and Pólya Number of Quantum Walks (en)
  • Rekurence and Pólyaovská čísla pro kvantové procházky (cs)
skos:prefLabel
  • Recurrence and Pólya Number of Quantum Walks
  • Recurrence and Pólya Number of Quantum Walks (en)
  • Rekurence and Pólyaovská čísla pro kvantové procházky (cs)
skos:notation
  • RIV/68407700:21340/08:04139303!RIV09-MSM-21340___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(LC06002), Z(MSM6840770039)
http://linked.open...iv/cisloPeriodika
  • 02
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
  • 391800
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21340/08:04139303
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Pólya number; quantum walk; recurrence (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [AAB05A7ED1B7]
http://linked.open...i/riv/nazevZdroje
  • Physical Review Letters
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
  • 100
http://linked.open...iv/tvurceVysledku
  • Jex, Igor
  • Kiss, T.
  • Štefaňák, Martin
http://linked.open...ain/vavai/riv/wos
  • 000252471200003
http://linked.open...n/vavai/riv/zamer
issn
  • 0031-9007
number of pages
http://localhost/t...ganizacniJednotka
  • 21340
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