Entropy exchange for infinite-dimensional systems

In this paper the entropy exchange for channels and states in infinite-dimensional systems are defined and studied. It is shown that, this entropy exchange depends only on the given channel and the state. An explicit expression of the entropy exchange in terms of the state and the channel is propose...

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Detalles Bibliográficos
Autores principales: Duan, Zhoubo, Hou, Jinchuan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2017
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5292708/
https://www.ncbi.nlm.nih.gov/pubmed/28164995
http://dx.doi.org/10.1038/srep41692
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author Duan, Zhoubo
Hou, Jinchuan
author_facet Duan, Zhoubo
Hou, Jinchuan
author_sort Duan, Zhoubo
collection PubMed
description In this paper the entropy exchange for channels and states in infinite-dimensional systems are defined and studied. It is shown that, this entropy exchange depends only on the given channel and the state. An explicit expression of the entropy exchange in terms of the state and the channel is proposed. The generalized Klein’s inequality, the subadditivity and the triangle inequality about the entropy including infinite entropy for the infinite-dimensional systems are established, and then, applied to compare the entropy exchange with the entropy change.
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spelling pubmed-52927082017-02-10 Entropy exchange for infinite-dimensional systems Duan, Zhoubo Hou, Jinchuan Sci Rep Article In this paper the entropy exchange for channels and states in infinite-dimensional systems are defined and studied. It is shown that, this entropy exchange depends only on the given channel and the state. An explicit expression of the entropy exchange in terms of the state and the channel is proposed. The generalized Klein’s inequality, the subadditivity and the triangle inequality about the entropy including infinite entropy for the infinite-dimensional systems are established, and then, applied to compare the entropy exchange with the entropy change. Nature Publishing Group 2017-02-06 /pmc/articles/PMC5292708/ /pubmed/28164995 http://dx.doi.org/10.1038/srep41692 Text en Copyright © 2017, The Author(s) 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
Duan, Zhoubo
Hou, Jinchuan
Entropy exchange for infinite-dimensional systems
title Entropy exchange for infinite-dimensional systems
title_full Entropy exchange for infinite-dimensional systems
title_fullStr Entropy exchange for infinite-dimensional systems
title_full_unstemmed Entropy exchange for infinite-dimensional systems
title_short Entropy exchange for infinite-dimensional systems
title_sort entropy exchange for infinite-dimensional systems
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5292708/
https://www.ncbi.nlm.nih.gov/pubmed/28164995
http://dx.doi.org/10.1038/srep41692
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AT houjinchuan entropyexchangeforinfinitedimensionalsystems

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