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Statements

Subject Item
n2:RIV%2F68407700%3A21340%2F08%3A04139303%21RIV09-MSM-21340___
rdf:type
skos:Concept n13:Vysledek
dcterms: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. Analyzujeme pravděpodobnost návratu chodce pro d-rozměrné vyvážené kvantové procházky. Prezentujeme analytický tvar pro rekurenci náhodného chození. 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.
dcterms:title
Rekurence and Pólyaovská čísla pro kvantové procházky Recurrence and Pólya Number of Quantum Walks Recurrence and Pólya Number of Quantum Walks
skos:prefLabel
Rekurence and Pólyaovská čísla pro kvantové procházky Recurrence and Pólya Number of Quantum Walks Recurrence and Pólya Number of Quantum Walks
skos:notation
RIV/68407700:21340/08:04139303!RIV09-MSM-21340___
n3:aktivita
n12:P n12:Z
n3:aktivity
P(LC06002), Z(MSM6840770039)
n3:cisloPeriodika
02
n3:dodaniDat
n4:2009
n3:domaciTvurceVysledku
n7:4596994 n7:7045247
n3:druhVysledku
n14:J
n3:duvernostUdaju
n16:S
n3:entitaPredkladatele
n8:predkladatel
n3:idSjednocenehoVysledku
391800
n3:idVysledku
RIV/68407700:21340/08:04139303
n3:jazykVysledku
n19:eng
n3:klicovaSlova
Pólya number; quantum walk; recurrence
n3:klicoveSlovo
n5:P%C3%B3lya%20number n5:recurrence n5:quantum%20walk
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[AAB05A7ED1B7]
n3:nazevZdroje
Physical Review Letters
n3:obor
n11:BE
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
3
n3:projekt
n9:LC06002
n3:rokUplatneniVysledku
n4:2008
n3:svazekPeriodika
100
n3:tvurceVysledku
Kiss, T. Jex, Igor Štefaňák, Martin
n3:wos
000252471200003
n3:zamer
n18:MSM6840770039
s:issn
0031-9007
s:numberOfPages
4
n15:organizacniJednotka
21340