Quantum Discord for d circle times 2 Systems
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , , |
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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Repositório Institucional da UNESP |
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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 |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
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1808128453689475072 |