Quantum Nonlocality of Arbitrary Dimensional Bipartite States

We study the nonlocality of arbitrary dimensional bipartite quantum states. By computing the maximal violation of a set of multi-setting Bell inequalities, an analytical and computable lower bound has been derived for general two-qubit states. This bound gives the necessary condition that a two-qubi...

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Autores principales: Li, Ming, Zhang, Tinggui, Hua, Bobo, Fei, Shao-Ming, Li-Jost, Xianqing
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2015
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4548185/
https://www.ncbi.nlm.nih.gov/pubmed/26303075
http://dx.doi.org/10.1038/srep13358
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author Li, Ming
Zhang, Tinggui
Hua, Bobo
Fei, Shao-Ming
Li-Jost, Xianqing
author_facet Li, Ming
Zhang, Tinggui
Hua, Bobo
Fei, Shao-Ming
Li-Jost, Xianqing
author_sort Li, Ming
collection PubMed
description We study the nonlocality of arbitrary dimensional bipartite quantum states. By computing the maximal violation of a set of multi-setting Bell inequalities, an analytical and computable lower bound has been derived for general two-qubit states. This bound gives the necessary condition that a two-qubit state admits no local hidden variable models. The lower bound is shown to be better than that from the CHSH inequality in judging the nonlocality of some quantum states. The results are generalized to the case of high dimensional quantum states, and a sufficient condition for detecting the non-locality has been presented.
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spelling pubmed-45481852015-08-26 Quantum Nonlocality of Arbitrary Dimensional Bipartite States Li, Ming Zhang, Tinggui Hua, Bobo Fei, Shao-Ming Li-Jost, Xianqing Sci Rep Article We study the nonlocality of arbitrary dimensional bipartite quantum states. By computing the maximal violation of a set of multi-setting Bell inequalities, an analytical and computable lower bound has been derived for general two-qubit states. This bound gives the necessary condition that a two-qubit state admits no local hidden variable models. The lower bound is shown to be better than that from the CHSH inequality in judging the nonlocality of some quantum states. The results are generalized to the case of high dimensional quantum states, and a sufficient condition for detecting the non-locality has been presented. Nature Publishing Group 2015-08-25 /pmc/articles/PMC4548185/ /pubmed/26303075 http://dx.doi.org/10.1038/srep13358 Text en Copyright © 2015, Macmillan Publishers Limited 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
Li, Ming
Zhang, Tinggui
Hua, Bobo
Fei, Shao-Ming
Li-Jost, Xianqing
Quantum Nonlocality of Arbitrary Dimensional Bipartite States
title Quantum Nonlocality of Arbitrary Dimensional Bipartite States
title_full Quantum Nonlocality of Arbitrary Dimensional Bipartite States
title_fullStr Quantum Nonlocality of Arbitrary Dimensional Bipartite States
title_full_unstemmed Quantum Nonlocality of Arbitrary Dimensional Bipartite States
title_short Quantum Nonlocality of Arbitrary Dimensional Bipartite States
title_sort quantum nonlocality of arbitrary dimensional bipartite states
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4548185/
https://www.ncbi.nlm.nih.gov/pubmed/26303075
http://dx.doi.org/10.1038/srep13358
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