Persistence of unvisited sites in quantum walks on a line

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F16%3A00300540" target="_blank" >RIV/68407700:21340/16:00300540 - isvavai.cz</a>

Result on the web

<a href="http://journals.aps.org/pra/abstract/10.1103/PhysRevA.93.032321" target="_blank" >http://journals.aps.org/pra/abstract/10.1103/PhysRevA.93.032321</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevA.93.032321" target="_blank" >10.1103/PhysRevA.93.032321</a>

Result language

angličtina

Original language name

Persistence of unvisited sites in quantum walks on a line

Original language description

We analyze the asymptotic scaling of persistence of unvisited sites for quantum walks on a line. In contrast to the classical random walk, there is no connection between the behavior of persistence and the scaling of variance. In particular, we find that for a two-state quantum walk persistence follows an inverse power law where the exponent is determined solely by the coin parameter. Moreover, for a one-parameter family of three-state quantum walks containing the Grover walk, the scaling of persistence is given by two contributions. The first is the inverse power law. The second contribution to the asymptotic behavior of persistence is an exponential decay coming from the trapping nature of the studied family of quantum walks. In contrast to the two-state walks, both the exponent of the inverse power-law and the decay constant of the exponential decay depend also on the initial coin state and its coherence. Hence, one can achieve various regimes of persistence by altering the initial condition, ranging from purely exponential decay to purely inverse power-law behavior.

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

—

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2016

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

PHYSICAL REVIEW A

ISSN

2469-9926

e-ISSN

—

Volume of the periodical

93

Issue of the periodical within the volume

3

Country of publishing house

US - UNITED STATES

Number of pages

10

Pages from-to

"032321-1"-"032321-10"

UT code for WoS article

000372398800004

EID of the result in the Scopus database

2-s2.0-84961785376