Generalized Open Quantum Walks on Apollonian Networks.

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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Main Authors: Łukasz Pawela, Piotr Gawron, Jarosław Adam Miszczak, Przemysław Sadowski
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2015-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC4503756?pdf=render
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spelling doaj-da5321e2f964468e954db6ea221d71892020-11-24T21:58:38ZengPublic Library of Science (PLoS)PLoS ONE1932-62032015-01-01107e013096710.1371/journal.pone.0130967Generalized Open Quantum Walks on Apollonian Networks.Łukasz PawelaPiotr GawronJarosław Adam MiszczakPrzemysław SadowskiWe 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.http://europepmc.org/articles/PMC4503756?pdf=render
collection DOAJ
language English
format Article
sources DOAJ
author Łukasz Pawela
Piotr Gawron
Jarosław Adam Miszczak
Przemysław Sadowski
spellingShingle Łukasz Pawela
Piotr Gawron
Jarosław Adam Miszczak
Przemysław Sadowski
Generalized Open Quantum Walks on Apollonian Networks.
PLoS ONE
author_facet Łukasz Pawela
Piotr Gawron
Jarosław Adam Miszczak
Przemysław Sadowski
author_sort Łukasz Pawela
title Generalized Open Quantum Walks on Apollonian Networks.
title_short 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_sort generalized open quantum walks on apollonian networks.
publisher Public Library of Science (PLoS)
series PLoS ONE
issn 1932-6203
publishDate 2015-01-01
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.
url http://europepmc.org/articles/PMC4503756?pdf=render
work_keys_str_mv AT łukaszpawela generalizedopenquantumwalksonapolloniannetworks
AT piotrgawron generalizedopenquantumwalksonapolloniannetworks
AT jarosławadammiszczak generalizedopenquantumwalksonapolloniannetworks
AT przemysławsadowski generalizedopenquantumwalksonapolloniannetworks
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