Continuous deformations of the Grover walk preserving localization
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F12%3A00193557" target="_blank" >RIV/68407700:21340/12:00193557 - isvavai.cz</a>
Result on the web
<a href="http://epjd.edpsciences.org/index.php?option=com_article&access=standard&Itemid=129&url=/articles/epjd/abs/2012/05/d120146/d120146.html" target="_blank" >http://epjd.edpsciences.org/index.php?option=com_article&access=standard&Itemid=129&url=/articles/epjd/abs/2012/05/d120146/d120146.html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1140/epjd/e2012-30146-9" target="_blank" >10.1140/epjd/e2012-30146-9</a>
Alternative languages
Result language
angličtina
Original language name
Continuous deformations of the Grover walk preserving localization
Original language description
The three-state Grover walk on a line exhibits the localization effect characterized by a non-vanishing probability of the particle to stay at the origin. We present two continuous deformations of the Grover walk which preserve its localization nature. The resulting quantum walks differ in the rate at which they spread through the lattice. The velocities of the left and right-traveling probability peaks are given by the maximum of the group velocity. We find the explicit form of peak velocities in dependence on the coin parameter. Our results show that localization of the quantum walk is not a singular property of an isolated coin operator but can be found for entire families of coins.
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/LC06002" target="_blank" >LC06002: Doppler Institute for Mathematical Physics and Applied Mathematics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
The European Physical Journal D
ISSN
1434-6060
e-ISSN
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Volume of the periodical
66
Issue of the periodical within the volume
5
Country of publishing house
FR - FRANCE
Number of pages
7
Pages from-to
1-7
UT code for WoS article
000305245400032
EID of the result in the Scopus database
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