Quantum Discord for d circle times 2 Systems

Detalhes bibliográficos
Autor(a) principal: Ma, Zhihao
Data de Publicação: 2015
Outros Autores: Chen, Zhihua, Fanchini, Felipe Fernandes [UNESP], Fei, Shao-Ming
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://www.nature.com/articles/srep10262
http://hdl.handle.net/11449/129849
Resumo: We present an analytical solution for classical correlation, defined in terms of linear entropy, in an arbitrary d circle times 2 system when the second subsystem is measured. We show that the optimal measurements used in the maximization of the classical correlation in terms of linear entropy, when used to calculate the quantum discord in terms of von Neumann entropy, result in a tight upper bound for arbitrary d circle times 2 systems. This bound agrees with all known analytical results about quantum discord in terms of von Neumann entropy and, when comparing it with the numerical results for 10(6) two-qubit random density matrices, we obtain an average deviation of order 10(-4). Furthermore, our results give a way to calculate the quantum discord for arbitrary n-qubit GHZ and W states evolving under the action of the amplitude damping noisy channel.
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spelling Quantum Discord for d circle times 2 SystemsWe present an analytical solution for classical correlation, defined in terms of linear entropy, in an arbitrary d circle times 2 system when the second subsystem is measured. We show that the optimal measurements used in the maximization of the classical correlation in terms of linear entropy, when used to calculate the quantum discord in terms of von Neumann entropy, result in a tight upper bound for arbitrary d circle times 2 systems. This bound agrees with all known analytical results about quantum discord in terms of von Neumann entropy and, when comparing it with the numerical results for 10(6) two-qubit random density matrices, we obtain an average deviation of order 10(-4). Furthermore, our results give a way to calculate the quantum discord for arbitrary n-qubit GHZ and W states evolving under the action of the amplitude damping noisy channel.NSFCFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)National Institute for Science and Technology of Quantum Information (INCT-IQ)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R ChinaUCL, Dept Phys &Astron, London WC1E 6BT, EnglandZhejiang Univ Technol, Coll Sci, Dept Math, Hangzhou 310023, Zhejiang, Peoples R ChinaNatl Univ Singapore, Ctr Quantum Technol, Singapore 117543, SingaporeUniv Estadual Paulista, Fac Ciencias, Dept Fis, Sao Paulo, BrazilCapital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R ChinaMax Planck Inst Math Sci, D-04103 Leipzig, GermanyUniv Estadual Paulista, Fac Ciencias, Dept Fis, Sao Paulo, BrazilNSFC: 11371247NSFC: 10901103NSFC: 11201427FAPESP: 2012/50464-0National Institute for Science and Technology of Quantum Information (INCT-IQ): 2008/57856-6CNPq: 474592/2013-8Nature Publishing GroupShanghai Jiao Tong UnivUCLZhejiang Univ TechnolNatl Univ SingaporeUniversidade Estadual Paulista (Unesp)Capital Normal UnivMax Planck Inst Math SciMa, ZhihaoChen, ZhihuaFanchini, Felipe Fernandes [UNESP]Fei, Shao-Ming2015-10-22T07:20:48Z2015-10-22T07:20:48Z2015-06-03info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1-7application/pdfhttp://www.nature.com/articles/srep10262Scientific Reports. London: Nature Publishing Group, v. 5, p. 1-7, 2015.2045-2322http://hdl.handle.net/11449/12984910.1038/srep10262WOS:000355647900001WOS000355647900001.pdf88848904721934740000-0003-3297-905XWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengScientific Reports4.1221,533info:eu-repo/semantics/openAccess2024-04-25T17:39:27Zoai:repositorio.unesp.br:11449/129849Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:04:09.677581Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Quantum Discord for d circle times 2 Systems
title Quantum Discord for d circle times 2 Systems
spellingShingle Quantum Discord for d circle times 2 Systems
Ma, Zhihao
title_short Quantum Discord for d circle times 2 Systems
title_full Quantum Discord for d circle times 2 Systems
title_fullStr Quantum Discord for d circle times 2 Systems
title_full_unstemmed Quantum Discord for d circle times 2 Systems
title_sort Quantum Discord for d circle times 2 Systems
author Ma, Zhihao
author_facet Ma, Zhihao
Chen, Zhihua
Fanchini, Felipe Fernandes [UNESP]
Fei, Shao-Ming
author_role author
author2 Chen, Zhihua
Fanchini, Felipe Fernandes [UNESP]
Fei, Shao-Ming
author2_role author
author
author
dc.contributor.none.fl_str_mv Shanghai Jiao Tong Univ
UCL
Zhejiang Univ Technol
Natl Univ Singapore
Universidade Estadual Paulista (Unesp)
Capital Normal Univ
Max Planck Inst Math Sci
dc.contributor.author.fl_str_mv Ma, Zhihao
Chen, Zhihua
Fanchini, Felipe Fernandes [UNESP]
Fei, Shao-Ming
description We present an analytical solution for classical correlation, defined in terms of linear entropy, in an arbitrary d circle times 2 system when the second subsystem is measured. We show that the optimal measurements used in the maximization of the classical correlation in terms of linear entropy, when used to calculate the quantum discord in terms of von Neumann entropy, result in a tight upper bound for arbitrary d circle times 2 systems. This bound agrees with all known analytical results about quantum discord in terms of von Neumann entropy and, when comparing it with the numerical results for 10(6) two-qubit random density matrices, we obtain an average deviation of order 10(-4). Furthermore, our results give a way to calculate the quantum discord for arbitrary n-qubit GHZ and W states evolving under the action of the amplitude damping noisy channel.
publishDate 2015
dc.date.none.fl_str_mv 2015-10-22T07:20:48Z
2015-10-22T07:20:48Z
2015-06-03
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://www.nature.com/articles/srep10262
Scientific Reports. London: Nature Publishing Group, v. 5, p. 1-7, 2015.
2045-2322
http://hdl.handle.net/11449/129849
10.1038/srep10262
WOS:000355647900001
WOS000355647900001.pdf
8884890472193474
0000-0003-3297-905X
url http://www.nature.com/articles/srep10262
http://hdl.handle.net/11449/129849
identifier_str_mv Scientific Reports. London: Nature Publishing Group, v. 5, p. 1-7, 2015.
2045-2322
10.1038/srep10262
WOS:000355647900001
WOS000355647900001.pdf
8884890472193474
0000-0003-3297-905X
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Scientific Reports
4.122
1,533
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1-7
application/pdf
dc.publisher.none.fl_str_mv Nature Publishing Group
publisher.none.fl_str_mv Nature Publishing Group
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
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repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
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