Discrete time quantum walks on percolation graphs
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F14%3A00221767" target="_blank" >RIV/68407700:21340/14:00221767 - isvavai.cz</a>
Result on the web
<a href="http://download.springer.com/static/pdf/309/art%253A10.1140%252Fepjp%252Fi2014-14103-6.pdf?auth66=1416492109_939da0f9694d778d5d06b64175f0c6ef&ext=.pdf" target="_blank" >http://download.springer.com/static/pdf/309/art%253A10.1140%252Fepjp%252Fi2014-14103-6.pdf?auth66=1416492109_939da0f9694d778d5d06b64175f0c6ef&ext=.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1140/epjp/i2014-14103-6" target="_blank" >10.1140/epjp/i2014-14103-6</a>
Alternative languages
Result language
angličtina
Original language name
Discrete time quantum walks on percolation graphs
Original language description
Randomly breaking connections in a graph alters its transport properties, a model used to describe percolation. In the case of quantum walks, dynamic percolation graphs represent a special type of imperfections, where the connections appear and disappearrandomly in each step during the time evolution. The resulting open system dynamics is hard to treat numerically in general. We shortly review the literature on this problem. We then present our method to solve the evolution on finite percolation graphsin the long time limit, applying the asymptotic methods concerning random unitary maps. We work out the case of one-dimensional chains in detail and provide a concrete, step-by-step numerical example in order to give more insight into the possible asymptotic behavior. The results about the case of the two-dimensional integer lattice are summarized, focusing on the Grover-type coin operator.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA13-33906S" target="_blank" >GA13-33906S: Harnessing the Power of Quantum Walks</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
EUROPEAN PHYSICAL JOURNAL PLUS
ISSN
2190-5444
e-ISSN
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Volume of the periodical
129
Issue of the periodical within the volume
5
Country of publishing house
DE - GERMANY
Number of pages
20
Pages from-to
1-20
UT code for WoS article
000336809800001
EID of the result in the Scopus database
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