Supremum of block entanglement for symmetric Gaussian states

For a system composed of permutationally symmetric Gaussian modes, by identifying the boundary of valid states and making necessary change of variables, the existence and exact value of the supremum of logarithmic negativity (and negativity likewise) between any two blocks can be shown analytically....

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Detalles Bibliográficos
Autores principales: Kao, Jhih-Yuan, Chou, Chung-Hsien
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5943598/
https://www.ncbi.nlm.nih.gov/pubmed/29743518
http://dx.doi.org/10.1038/s41598-018-25781-2
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author Kao, Jhih-Yuan
Chou, Chung-Hsien
author_facet Kao, Jhih-Yuan
Chou, Chung-Hsien
author_sort Kao, Jhih-Yuan
collection PubMed
description For a system composed of permutationally symmetric Gaussian modes, by identifying the boundary of valid states and making necessary change of variables, the existence and exact value of the supremum of logarithmic negativity (and negativity likewise) between any two blocks can be shown analytically. Involving only the total number of interchangeable modes and the sizes of respective blocks, this result is general and easy to be applied for such a class of states.
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spelling pubmed-59435982018-05-14 Supremum of block entanglement for symmetric Gaussian states Kao, Jhih-Yuan Chou, Chung-Hsien Sci Rep Article For a system composed of permutationally symmetric Gaussian modes, by identifying the boundary of valid states and making necessary change of variables, the existence and exact value of the supremum of logarithmic negativity (and negativity likewise) between any two blocks can be shown analytically. Involving only the total number of interchangeable modes and the sizes of respective blocks, this result is general and easy to be applied for such a class of states. Nature Publishing Group UK 2018-05-09 /pmc/articles/PMC5943598/ /pubmed/29743518 http://dx.doi.org/10.1038/s41598-018-25781-2 Text en © The Author(s) 2018 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Kao, Jhih-Yuan
Chou, Chung-Hsien
Supremum of block entanglement for symmetric Gaussian states
title Supremum of block entanglement for symmetric Gaussian states
title_full Supremum of block entanglement for symmetric Gaussian states
title_fullStr Supremum of block entanglement for symmetric Gaussian states
title_full_unstemmed Supremum of block entanglement for symmetric Gaussian states
title_short Supremum of block entanglement for symmetric Gaussian states
title_sort supremum of block entanglement for symmetric gaussian states
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5943598/
https://www.ncbi.nlm.nih.gov/pubmed/29743518
http://dx.doi.org/10.1038/s41598-018-25781-2
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