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Quantum random walks on congested lattices and the effect of dephasing
We consider quantum random walks on congested lattices and contrast them to classical random walks. Congestion is modelled on lattices that contain static defects which reverse the walker’s direction. We implement a dephasing process after each step which allows us to smoothly interpolate between cl...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group
2016
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4728491/ https://www.ncbi.nlm.nih.gov/pubmed/26812924 http://dx.doi.org/10.1038/srep19864 |
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author | Motes, Keith R. Gilchrist, Alexei Rohde, Peter P. |
author_facet | Motes, Keith R. Gilchrist, Alexei Rohde, Peter P. |
author_sort | Motes, Keith R. |
collection | PubMed |
description | We consider quantum random walks on congested lattices and contrast them to classical random walks. Congestion is modelled on lattices that contain static defects which reverse the walker’s direction. We implement a dephasing process after each step which allows us to smoothly interpolate between classical and quantum random walks as well as study the effect of dephasing on the quantum walk. Our key results show that a quantum walker escapes a finite boundary dramatically faster than a classical walker and that this advantage remains in the presence of heavily congested lattices. |
format | Online Article Text |
id | pubmed-4728491 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2016 |
publisher | Nature Publishing Group |
record_format | MEDLINE/PubMed |
spelling | pubmed-47284912016-02-01 Quantum random walks on congested lattices and the effect of dephasing Motes, Keith R. Gilchrist, Alexei Rohde, Peter P. Sci Rep Article We consider quantum random walks on congested lattices and contrast them to classical random walks. Congestion is modelled on lattices that contain static defects which reverse the walker’s direction. We implement a dephasing process after each step which allows us to smoothly interpolate between classical and quantum random walks as well as study the effect of dephasing on the quantum walk. Our key results show that a quantum walker escapes a finite boundary dramatically faster than a classical walker and that this advantage remains in the presence of heavily congested lattices. Nature Publishing Group 2016-01-27 /pmc/articles/PMC4728491/ /pubmed/26812924 http://dx.doi.org/10.1038/srep19864 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 Motes, Keith R. Gilchrist, Alexei Rohde, Peter P. Quantum random walks on congested lattices and the effect of dephasing |
title | Quantum random walks on congested lattices and the effect of dephasing |
title_full | Quantum random walks on congested lattices and the effect of dephasing |
title_fullStr | Quantum random walks on congested lattices and the effect of dephasing |
title_full_unstemmed | Quantum random walks on congested lattices and the effect of dephasing |
title_short | Quantum random walks on congested lattices and the effect of dephasing |
title_sort | quantum random walks on congested lattices and the effect of dephasing |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4728491/ https://www.ncbi.nlm.nih.gov/pubmed/26812924 http://dx.doi.org/10.1038/srep19864 |
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