Quantum nonlocality without entanglement: explicit dependence on prior probabilities of nonorthogonal mirror-symmetric states

Abstract In the case of a multi-party system, through local operations and classical communication (LOCC), each party may not perform perfect discrimination of quantum states that are separable and orthogonal. This property of quantum ensemble is called “nonlocality without entanglement” since each...

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Autores principales:	Donghoon Ha, Younghun Kwon
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95
Acceso en línea:	https://doaj.org/article/e4ef53971d4b4a0da139f864d9fc2114
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spelling	oai:doaj.org-article:e4ef53971d4b4a0da139f864d9fc21142021-12-02T15:00:56ZQuantum nonlocality without entanglement: explicit dependence on prior probabilities of nonorthogonal mirror-symmetric states10.1038/s41534-021-00415-02056-6387https://doaj.org/article/e4ef53971d4b4a0da139f864d9fc21142021-05-01T00:00:00Zhttps://doi.org/10.1038/s41534-021-00415-0https://doaj.org/toc/2056-6387Abstract In the case of a multi-party system, through local operations and classical communication (LOCC), each party may not perform perfect discrimination of quantum states that are separable and orthogonal. This property of quantum ensemble is called “nonlocality without entanglement” since each local party has a limit to full information of given quantum states. When this property is extended to the case of minimum-error discrimination, one can see that it is revealed when a nonlocal measurement provides more information about the unentangled states than LOCC does. One may infer the fact that the property depends on quantum states composing the quantum ensemble. However, an essential but unsettled question about the property is whether an explicit dependence on prior probabilities in terms of minimum-error discrimination could be shown in nonlocality without entanglement. In a simple term, one can ask whether different quantum ensembles made of the same separable quantum states could exhibit explicitly different behavior of the nonlocality. We answer this question in the positive, and we furthermore provide the explicit functional dependence of guessing probability on prior probabilities for the mirror-symmetric ensemble.Donghoon HaYounghun KwonNature PortfolioarticlePhysicsQC1-999Electronic computers. Computer scienceQA75.5-76.95ENnpj Quantum Information, Vol 7, Iss 1, Pp 1-6 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95
spellingShingle	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95 Donghoon Ha Younghun Kwon Quantum nonlocality without entanglement: explicit dependence on prior probabilities of nonorthogonal mirror-symmetric states
description	Abstract In the case of a multi-party system, through local operations and classical communication (LOCC), each party may not perform perfect discrimination of quantum states that are separable and orthogonal. This property of quantum ensemble is called “nonlocality without entanglement” since each local party has a limit to full information of given quantum states. When this property is extended to the case of minimum-error discrimination, one can see that it is revealed when a nonlocal measurement provides more information about the unentangled states than LOCC does. One may infer the fact that the property depends on quantum states composing the quantum ensemble. However, an essential but unsettled question about the property is whether an explicit dependence on prior probabilities in terms of minimum-error discrimination could be shown in nonlocality without entanglement. In a simple term, one can ask whether different quantum ensembles made of the same separable quantum states could exhibit explicitly different behavior of the nonlocality. We answer this question in the positive, and we furthermore provide the explicit functional dependence of guessing probability on prior probabilities for the mirror-symmetric ensemble.
format	article
author	Donghoon Ha Younghun Kwon
author_facet	Donghoon Ha Younghun Kwon
author_sort	Donghoon Ha
title	Quantum nonlocality without entanglement: explicit dependence on prior probabilities of nonorthogonal mirror-symmetric states
title_short	Quantum nonlocality without entanglement: explicit dependence on prior probabilities of nonorthogonal mirror-symmetric states
title_full	Quantum nonlocality without entanglement: explicit dependence on prior probabilities of nonorthogonal mirror-symmetric states
title_fullStr	Quantum nonlocality without entanglement: explicit dependence on prior probabilities of nonorthogonal mirror-symmetric states
title_full_unstemmed	Quantum nonlocality without entanglement: explicit dependence on prior probabilities of nonorthogonal mirror-symmetric states
title_sort	quantum nonlocality without entanglement: explicit dependence on prior probabilities of nonorthogonal mirror-symmetric states
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/e4ef53971d4b4a0da139f864d9fc2114
work_keys_str_mv	AT donghoonha quantumnonlocalitywithoutentanglementexplicitdependenceonpriorprobabilitiesofnonorthogonalmirrorsymmetricstates AT younghunkwon quantumnonlocalitywithoutentanglementexplicitdependenceonpriorprobabilitiesofnonorthogonalmirrorsymmetricstates
_version_	1718389170860195840

Quantum nonlocality without entanglement: explicit dependence on prior probabilities of nonorthogonal mirror-symmetric states

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