Generalized Open Quantum Walks on Apollonian Networks

We introduce the model of generalized open quantum walks on networks using the Transition Operation Matrices formalism. We focus our analysis on the mean first passage time and the average return time in Apollonian networks. These results differ significantly from a classical walk on these networks....

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Detalles Bibliográficos
Autores principales: Pawela, Łukasz, Gawron, Piotr, Miszczak, Jarosław Adam, Sadowski, Przemysław
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2015
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4503756/
https://www.ncbi.nlm.nih.gov/pubmed/26177452
http://dx.doi.org/10.1371/journal.pone.0130967
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author Pawela, Łukasz
Gawron, Piotr
Miszczak, Jarosław Adam
Sadowski, Przemysław
author_facet Pawela, Łukasz
Gawron, Piotr
Miszczak, Jarosław Adam
Sadowski, Przemysław
author_sort Pawela, Łukasz
collection PubMed
description We introduce the model of generalized open quantum walks on networks using the Transition Operation Matrices formalism. We focus our analysis on the mean first passage time and the average return time in Apollonian networks. These results differ significantly from a classical walk on these networks. We show a comparison of the classical and quantum behaviour of walks on these networks.
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spelling pubmed-45037562015-07-17 Generalized Open Quantum Walks on Apollonian Networks Pawela, Łukasz Gawron, Piotr Miszczak, Jarosław Adam Sadowski, Przemysław PLoS One Research Article We introduce the model of generalized open quantum walks on networks using the Transition Operation Matrices formalism. We focus our analysis on the mean first passage time and the average return time in Apollonian networks. These results differ significantly from a classical walk on these networks. We show a comparison of the classical and quantum behaviour of walks on these networks. Public Library of Science 2015-07-15 /pmc/articles/PMC4503756/ /pubmed/26177452 http://dx.doi.org/10.1371/journal.pone.0130967 Text en © 2015 Pawela et al http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.
spellingShingle Research Article
Pawela, Łukasz
Gawron, Piotr
Miszczak, Jarosław Adam
Sadowski, Przemysław
Generalized Open Quantum Walks on Apollonian Networks
title Generalized Open Quantum Walks on Apollonian Networks
title_full Generalized Open Quantum Walks on Apollonian Networks
title_fullStr Generalized Open Quantum Walks on Apollonian Networks
title_full_unstemmed Generalized Open Quantum Walks on Apollonian Networks
title_short Generalized Open Quantum Walks on Apollonian Networks
title_sort generalized open quantum walks on apollonian networks
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4503756/
https://www.ncbi.nlm.nih.gov/pubmed/26177452
http://dx.doi.org/10.1371/journal.pone.0130967
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