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
Descripción
Sumario: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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