About: Recurrence and Pólya Number of Quantum Walks

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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	P Z
http://linked.open...avai/riv/aktivity	P(LC06002), Z(MSM6840770039)
http://linked.open...iv/cisloPeriodika	02
http://linked.open...vai/riv/dodaniDat	2009
http://linked.open...aciTvurceVysledku	Jex, Igor Štefaňák, Martin
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta jaderná a fyzikálně inženýrská
http://linked.open...dnocenehoVysledku	391800
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/08:04139303
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Pólya number; quantum walk; recurrence (en)
http://linked.open.../riv/klicoveSlovo	recurrence quantum walk Pólya number
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	BE
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Doppler Institute for Mathematical Physics and Applied Mathematics
http://linked.open...UplatneniVysledku	2008
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	Matematické, počítačové a experimentální metody ve fyzice
issn	0031-9007
number of pages	4 (xsd:int)
http://localhost/t...ganizacniJednotka	21340
is http://linked.open...avai/riv/vysledek of	Recurrence and Pólya Number of Quantum Walks Recurrence and Pólya Number of Quantum Walks Recurrence and Pólya Number of Quantum Walks Recurrence and Pólya Number of Quantum Walks

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