Entanglement Detection via Direct-Sum Majorization Uncertainty Relations

In this paper we investigate the relationship between direct-sum majorization formulation of uncertainty relations and entanglement, for the case of two observables. Our primary results are entanglement detection methods based on direct-sum majorization uncertainty relations. These detectors provide...

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Detalles Bibliográficos
Autores principales: Wang, Kun, Wu, Nan, Song, Fangmin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6965645/
https://www.ncbi.nlm.nih.gov/pubmed/31949197
http://dx.doi.org/10.1038/s41598-019-57302-0
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author Wang, Kun
Wu, Nan
Song, Fangmin
author_facet Wang, Kun
Wu, Nan
Song, Fangmin
author_sort Wang, Kun
collection PubMed
description In this paper we investigate the relationship between direct-sum majorization formulation of uncertainty relations and entanglement, for the case of two observables. Our primary results are entanglement detection methods based on direct-sum majorization uncertainty relations. These detectors provide a set of sufficient conditions for detecting entanglement whose number grows linearly with the dimension of the state being detected.
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spelling pubmed-69656452020-01-23 Entanglement Detection via Direct-Sum Majorization Uncertainty Relations Wang, Kun Wu, Nan Song, Fangmin Sci Rep Article In this paper we investigate the relationship between direct-sum majorization formulation of uncertainty relations and entanglement, for the case of two observables. Our primary results are entanglement detection methods based on direct-sum majorization uncertainty relations. These detectors provide a set of sufficient conditions for detecting entanglement whose number grows linearly with the dimension of the state being detected. Nature Publishing Group UK 2020-01-16 /pmc/articles/PMC6965645/ /pubmed/31949197 http://dx.doi.org/10.1038/s41598-019-57302-0 Text en © The Author(s) 2020 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
Wang, Kun
Wu, Nan
Song, Fangmin
Entanglement Detection via Direct-Sum Majorization Uncertainty Relations
title Entanglement Detection via Direct-Sum Majorization Uncertainty Relations
title_full Entanglement Detection via Direct-Sum Majorization Uncertainty Relations
title_fullStr Entanglement Detection via Direct-Sum Majorization Uncertainty Relations
title_full_unstemmed Entanglement Detection via Direct-Sum Majorization Uncertainty Relations
title_short Entanglement Detection via Direct-Sum Majorization Uncertainty Relations
title_sort entanglement detection via direct-sum majorization uncertainty relations
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6965645/
https://www.ncbi.nlm.nih.gov/pubmed/31949197
http://dx.doi.org/10.1038/s41598-019-57302-0
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AT wunan entanglementdetectionviadirectsummajorizationuncertaintyrelations
AT songfangmin entanglementdetectionviadirectsummajorizationuncertaintyrelations

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