Suitable bases for quantum walks with Wigner coins
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F15%3A00235668" target="_blank" >RIV/68407700:21340/15:00235668 - isvavai.cz</a>
Result on the web
<a href="http://journals.aps.org/pra/abstract/10.1103/PhysRevA.92.022347" target="_blank" >http://journals.aps.org/pra/abstract/10.1103/PhysRevA.92.022347</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevA.92.022347" target="_blank" >10.1103/PhysRevA.92.022347</a>
Alternative languages
Result language
angličtina
Original language name
Suitable bases for quantum walks with Wigner coins
Original language description
The analysis of a physical problem simplifies considerably when one uses a suitable coordinate system. We apply this approach to the discrete-time quantum walks with coins given by 2j+1-dimensional Wigner rotation matrices (Wigner walks), a model which was introduced in T. Miyazaki et al., Phys. Rev. A 76, 012332 (2007). First, we show that from the three parameters of the coin operator only one is physically relevant for the limit density of the Wigner walk. Next, we construct a suitable basis of the coin space in which the limit density of the Wigner walk acquires a much simpler form. This allows us to identify various dynamical regimes which are otherwise hidden in the standard basis description. As an example, we show that it is possible to find aninitial state which reduces the number of peaks in the probability distribution from generic 2j+1 to a single one. Moreover, the models with integer j lead to the trapping effect. The derived formula for the trapping probability reveals
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review A
ISSN
1050-2947
e-ISSN
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Volume of the periodical
92
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
18
Pages from-to
"022347-1"-"022347-18"
UT code for WoS article
000359938200006
EID of the result in the Scopus database
2-s2.0-84940786128