Limit distributions of three-state quantum walks: The role of coin eigenstates
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F14%3A00219876" target="_blank" >RIV/68407700:21340/14:00219876 - isvavai.cz</a>
Result on the web
<a href="https://journals.aps.org/pra/abstract/10.1103/PhysRevA.90.012342" target="_blank" >https://journals.aps.org/pra/abstract/10.1103/PhysRevA.90.012342</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevA.90.012342" target="_blank" >10.1103/PhysRevA.90.012342</a>
Alternative languages
Result language
angličtina
Original language name
Limit distributions of three-state quantum walks: The role of coin eigenstates
Original language description
We analyze two families of three-state quantum walks which show the localization effect. We focus on the role of the initial coin state and its coherence in controlling the properties of the quantum walk. In particular, we show that the description of the walk simplifies considerably when the initial coin state is decomposed in the basis formed by the eigenvectors of the coin operator. This allows us to express the limit distributions in a much more convenient form. Consequently, striking features whichare hidden in the standard basis description are easily identified. Moreover, the dependence of moments of the position distribution on the initial coin state can be analyzed in full detail. In particular, we find that in the eigenvector basis the evenmoments and the localization probability at the origin depend only on incoherent combination of probabilities. In contrast, odd moments and localization outside the origin are affected by the coherence of the initial coin state.
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
Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach
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
Physical Review A
ISSN
1050-2947
e-ISSN
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Volume of the periodical
90
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
11
Pages from-to
"012342-1"-"012342-11"
UT code for WoS article
000341232500003
EID of the result in the Scopus database
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