A one-dimensional quantum walk with multiple-rotation on the coin

We introduce and analyze a one-dimensional quantum walk with two time-independent rotations on the coin. We study the influence on the property of quantum walk due to the second rotation on the coin. Based on the asymptotic solution in the long time limit, a ballistic behaviour of this walk is obser...

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Detalles Bibliográficos
Autores principales: Xue, Peng, Zhang, Rong, Qin, Hao, Zhan, Xiang, Bian, Zhihao, Li, Jian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2016
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4731773/
https://www.ncbi.nlm.nih.gov/pubmed/26822563
http://dx.doi.org/10.1038/srep20095
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author Xue, Peng
Zhang, Rong
Qin, Hao
Zhan, Xiang
Bian, Zhihao
Li, Jian
author_facet Xue, Peng
Zhang, Rong
Qin, Hao
Zhan, Xiang
Bian, Zhihao
Li, Jian
author_sort Xue, Peng
collection PubMed
description We introduce and analyze a one-dimensional quantum walk with two time-independent rotations on the coin. We study the influence on the property of quantum walk due to the second rotation on the coin. Based on the asymptotic solution in the long time limit, a ballistic behaviour of this walk is observed. This quantum walk retains the quadratic growth of the variance if the combined operator of the coin rotations is unitary. That confirms no localization exhibits in this walk. This result can be extended to the walk with multiple time-independent rotations on the coin.
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spelling pubmed-47317732016-02-03 A one-dimensional quantum walk with multiple-rotation on the coin Xue, Peng Zhang, Rong Qin, Hao Zhan, Xiang Bian, Zhihao Li, Jian Sci Rep Article We introduce and analyze a one-dimensional quantum walk with two time-independent rotations on the coin. We study the influence on the property of quantum walk due to the second rotation on the coin. Based on the asymptotic solution in the long time limit, a ballistic behaviour of this walk is observed. This quantum walk retains the quadratic growth of the variance if the combined operator of the coin rotations is unitary. That confirms no localization exhibits in this walk. This result can be extended to the walk with multiple time-independent rotations on the coin. Nature Publishing Group 2016-01-29 /pmc/articles/PMC4731773/ /pubmed/26822563 http://dx.doi.org/10.1038/srep20095 Text en Copyright © 2016, Macmillan Publishers Limited http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
spellingShingle Article
Xue, Peng
Zhang, Rong
Qin, Hao
Zhan, Xiang
Bian, Zhihao
Li, Jian
A one-dimensional quantum walk with multiple-rotation on the coin
title A one-dimensional quantum walk with multiple-rotation on the coin
title_full A one-dimensional quantum walk with multiple-rotation on the coin
title_fullStr A one-dimensional quantum walk with multiple-rotation on the coin
title_full_unstemmed A one-dimensional quantum walk with multiple-rotation on the coin
title_short A one-dimensional quantum walk with multiple-rotation on the coin
title_sort one-dimensional quantum walk with multiple-rotation on the coin
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4731773/
https://www.ncbi.nlm.nih.gov/pubmed/26822563
http://dx.doi.org/10.1038/srep20095
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