Detection and measure of genuine tripartite entanglement with partial transposition and realignment of density matrices

It is challenging task to detect and measure genuine multipartite entanglement. We investigate the problem by considering the average based positive partial transposition(PPT) criterion and the realignment criterion. Sufficient conditions for detecting genuine tripartite entanglement are presented....

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Autores principales: Li, Ming, Wang, Jing, Shen, Shuqian, Chen, Zhihua, Fei, Shao-Ming
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2017
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5722849/
https://www.ncbi.nlm.nih.gov/pubmed/29222440
http://dx.doi.org/10.1038/s41598-017-17585-7
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author Li, Ming
Wang, Jing
Shen, Shuqian
Chen, Zhihua
Fei, Shao-Ming
author_facet Li, Ming
Wang, Jing
Shen, Shuqian
Chen, Zhihua
Fei, Shao-Ming
author_sort Li, Ming
collection PubMed
description It is challenging task to detect and measure genuine multipartite entanglement. We investigate the problem by considering the average based positive partial transposition(PPT) criterion and the realignment criterion. Sufficient conditions for detecting genuine tripartite entanglement are presented. We also derive lower bounds for the genuine tripartite entanglement concurrence with respect to the conditions. While the PPT criterion and the realignment criterion are powerful for detecting bipartite entanglement and for providing lower bounds of bipartite concurrences, our results give an effective operational way to detect and measure the genuine tripartite entanglement.
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spelling pubmed-57228492017-12-12 Detection and measure of genuine tripartite entanglement with partial transposition and realignment of density matrices Li, Ming Wang, Jing Shen, Shuqian Chen, Zhihua Fei, Shao-Ming Sci Rep Article It is challenging task to detect and measure genuine multipartite entanglement. We investigate the problem by considering the average based positive partial transposition(PPT) criterion and the realignment criterion. Sufficient conditions for detecting genuine tripartite entanglement are presented. We also derive lower bounds for the genuine tripartite entanglement concurrence with respect to the conditions. While the PPT criterion and the realignment criterion are powerful for detecting bipartite entanglement and for providing lower bounds of bipartite concurrences, our results give an effective operational way to detect and measure the genuine tripartite entanglement. Nature Publishing Group UK 2017-12-08 /pmc/articles/PMC5722849/ /pubmed/29222440 http://dx.doi.org/10.1038/s41598-017-17585-7 Text en © The Author(s) 2017 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
Li, Ming
Wang, Jing
Shen, Shuqian
Chen, Zhihua
Fei, Shao-Ming
Detection and measure of genuine tripartite entanglement with partial transposition and realignment of density matrices
title Detection and measure of genuine tripartite entanglement with partial transposition and realignment of density matrices
title_full Detection and measure of genuine tripartite entanglement with partial transposition and realignment of density matrices
title_fullStr Detection and measure of genuine tripartite entanglement with partial transposition and realignment of density matrices
title_full_unstemmed Detection and measure of genuine tripartite entanglement with partial transposition and realignment of density matrices
title_short Detection and measure of genuine tripartite entanglement with partial transposition and realignment of density matrices
title_sort detection and measure of genuine tripartite entanglement with partial transposition and realignment of density matrices
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5722849/
https://www.ncbi.nlm.nih.gov/pubmed/29222440
http://dx.doi.org/10.1038/s41598-017-17585-7
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