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Lower and upper bounds for entanglement of Rényi-α entropy

Entanglement Rényi-α entropy is an entanglement measure. It reduces to the standard entanglement of formation when α tends to 1. We derive analytical lower and upper bounds for the entanglement Rényi-α entropy of arbitrary dimensional bipartite quantum systems. We also demonstrate the application ou...

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Detalles Bibliográficos
Autores principales: Song, Wei, Chen, Lin, Cao, Zhuo-Liang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5431388/
https://www.ncbi.nlm.nih.gov/pubmed/28003661
http://dx.doi.org/10.1038/s41598-016-0029-9
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author Song, Wei
Chen, Lin
Cao, Zhuo-Liang
author_facet Song, Wei
Chen, Lin
Cao, Zhuo-Liang
author_sort Song, Wei
collection PubMed
description Entanglement Rényi-α entropy is an entanglement measure. It reduces to the standard entanglement of formation when α tends to 1. We derive analytical lower and upper bounds for the entanglement Rényi-α entropy of arbitrary dimensional bipartite quantum systems. We also demonstrate the application our bound for some concrete examples. Moreover, we establish the relation between entanglement Rényi-α entropy and some other entanglement measures.
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spelling pubmed-54313882017-05-17 Lower and upper bounds for entanglement of Rényi-α entropy Song, Wei Chen, Lin Cao, Zhuo-Liang Sci Rep Article Entanglement Rényi-α entropy is an entanglement measure. It reduces to the standard entanglement of formation when α tends to 1. We derive analytical lower and upper bounds for the entanglement Rényi-α entropy of arbitrary dimensional bipartite quantum systems. We also demonstrate the application our bound for some concrete examples. Moreover, we establish the relation between entanglement Rényi-α entropy and some other entanglement measures. Nature Publishing Group UK 2016-12-23 /pmc/articles/PMC5431388/ /pubmed/28003661 http://dx.doi.org/10.1038/s41598-016-0029-9 Text en © The Author(s) 2016 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
Song, Wei
Chen, Lin
Cao, Zhuo-Liang
Lower and upper bounds for entanglement of Rényi-α entropy
title Lower and upper bounds for entanglement of Rényi-α entropy
title_full Lower and upper bounds for entanglement of Rényi-α entropy
title_fullStr Lower and upper bounds for entanglement of Rényi-α entropy
title_full_unstemmed Lower and upper bounds for entanglement of Rényi-α entropy
title_short Lower and upper bounds for entanglement of Rényi-α entropy
title_sort lower and upper bounds for entanglement of rényi-α entropy
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5431388/
https://www.ncbi.nlm.nih.gov/pubmed/28003661
http://dx.doi.org/10.1038/s41598-016-0029-9
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