New features of quantum discord uncovered by q-entropies

Autores
Majtey, A. P.; Plastino, Ángel Ricardo; Plastino, Ángel Luis
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The notion of quantum discord introduced by Ollivier and Zurek [Phys. Rev. Lett 88 (2001) 017901] (see also Henderson and Vedral [J. Phys. A 34 (2001) 6899]) has attracted increasing attention, in recent years, as an entropic quantifier of non-classical features pertaining to the correlations exhibited by bipartite quantum systems. Here we generalize the notion so as to encompass power-law q-entropies (that reduce to the standard Shannon entropy in the limit q→1) and study the concomitant consequences. The ensuing, new discord-like measures we advance describe aspects of non-classicality that are different from those associated with the standard quantum discord. A particular manifestation of this difference concerns a feature related to order. Let D1 stand for the standard, Shannon-based discord measure and Dq for the q≠1 one. If two quantum states A,B are such that D1(A)>D 1(B), this order-relation does not remain invariant under a change from D1 to Dq.
Fil: Majtey, A. P.. Universidad de Granada; España
Fil: Plastino, Ángel Ricardo. Universidad Nacional de La Plata. Centro Regional de Estudios Genómicos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Fil: Plastino, Ángel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Materia
MUTUAL INFORMATION
QUANTUM DISCORD
QUANTUM INFORMATION
TSALLIS ENTROPY
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/193696

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spelling New features of quantum discord uncovered by q-entropiesMajtey, A. P.Plastino, Ángel RicardoPlastino, Ángel LuisMUTUAL INFORMATIONQUANTUM DISCORDQUANTUM INFORMATIONTSALLIS ENTROPYhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The notion of quantum discord introduced by Ollivier and Zurek [Phys. Rev. Lett 88 (2001) 017901] (see also Henderson and Vedral [J. Phys. A 34 (2001) 6899]) has attracted increasing attention, in recent years, as an entropic quantifier of non-classical features pertaining to the correlations exhibited by bipartite quantum systems. Here we generalize the notion so as to encompass power-law q-entropies (that reduce to the standard Shannon entropy in the limit q→1) and study the concomitant consequences. The ensuing, new discord-like measures we advance describe aspects of non-classicality that are different from those associated with the standard quantum discord. A particular manifestation of this difference concerns a feature related to order. Let D1 stand for the standard, Shannon-based discord measure and Dq for the q≠1 one. If two quantum states A,B are such that D1(A)>D 1(B), this order-relation does not remain invariant under a change from D1 to Dq.Fil: Majtey, A. P.. Universidad de Granada; EspañaFil: Plastino, Ángel Ricardo. Universidad Nacional de La Plata. Centro Regional de Estudios Genómicos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; ArgentinaFil: Plastino, Ángel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaElsevier Science2012-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/193696Majtey, A. P.; Plastino, Ángel Ricardo; Plastino, Ángel Luis; New features of quantum discord uncovered by q-entropies; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 391; 7; 4-2012; 2491-24990378-4371CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2011.11.062info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0378437111008971info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:59:31Zoai:ri.conicet.gov.ar:11336/193696instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:59:31.704CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv New features of quantum discord uncovered by q-entropies
title New features of quantum discord uncovered by q-entropies
spellingShingle New features of quantum discord uncovered by q-entropies
Majtey, A. P.
MUTUAL INFORMATION
QUANTUM DISCORD
QUANTUM INFORMATION
TSALLIS ENTROPY
title_short New features of quantum discord uncovered by q-entropies
title_full New features of quantum discord uncovered by q-entropies
title_fullStr New features of quantum discord uncovered by q-entropies
title_full_unstemmed New features of quantum discord uncovered by q-entropies
title_sort New features of quantum discord uncovered by q-entropies
dc.creator.none.fl_str_mv Majtey, A. P.
Plastino, Ángel Ricardo
Plastino, Ángel Luis
author Majtey, A. P.
author_facet Majtey, A. P.
Plastino, Ángel Ricardo
Plastino, Ángel Luis
author_role author
author2 Plastino, Ángel Ricardo
Plastino, Ángel Luis
author2_role author
author
dc.subject.none.fl_str_mv MUTUAL INFORMATION
QUANTUM DISCORD
QUANTUM INFORMATION
TSALLIS ENTROPY
topic MUTUAL INFORMATION
QUANTUM DISCORD
QUANTUM INFORMATION
TSALLIS ENTROPY
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The notion of quantum discord introduced by Ollivier and Zurek [Phys. Rev. Lett 88 (2001) 017901] (see also Henderson and Vedral [J. Phys. A 34 (2001) 6899]) has attracted increasing attention, in recent years, as an entropic quantifier of non-classical features pertaining to the correlations exhibited by bipartite quantum systems. Here we generalize the notion so as to encompass power-law q-entropies (that reduce to the standard Shannon entropy in the limit q→1) and study the concomitant consequences. The ensuing, new discord-like measures we advance describe aspects of non-classicality that are different from those associated with the standard quantum discord. A particular manifestation of this difference concerns a feature related to order. Let D1 stand for the standard, Shannon-based discord measure and Dq for the q≠1 one. If two quantum states A,B are such that D1(A)>D 1(B), this order-relation does not remain invariant under a change from D1 to Dq.
Fil: Majtey, A. P.. Universidad de Granada; España
Fil: Plastino, Ángel Ricardo. Universidad Nacional de La Plata. Centro Regional de Estudios Genómicos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Fil: Plastino, Ángel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
description The notion of quantum discord introduced by Ollivier and Zurek [Phys. Rev. Lett 88 (2001) 017901] (see also Henderson and Vedral [J. Phys. A 34 (2001) 6899]) has attracted increasing attention, in recent years, as an entropic quantifier of non-classical features pertaining to the correlations exhibited by bipartite quantum systems. Here we generalize the notion so as to encompass power-law q-entropies (that reduce to the standard Shannon entropy in the limit q→1) and study the concomitant consequences. The ensuing, new discord-like measures we advance describe aspects of non-classicality that are different from those associated with the standard quantum discord. A particular manifestation of this difference concerns a feature related to order. Let D1 stand for the standard, Shannon-based discord measure and Dq for the q≠1 one. If two quantum states A,B are such that D1(A)>D 1(B), this order-relation does not remain invariant under a change from D1 to Dq.
publishDate 2012
dc.date.none.fl_str_mv 2012-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/193696
Majtey, A. P.; Plastino, Ángel Ricardo; Plastino, Ángel Luis; New features of quantum discord uncovered by q-entropies; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 391; 7; 4-2012; 2491-2499
0378-4371
CONICET Digital
CONICET
url http://hdl.handle.net/11336/193696
identifier_str_mv Majtey, A. P.; Plastino, Ángel Ricardo; Plastino, Ángel Luis; New features of quantum discord uncovered by q-entropies; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 391; 7; 4-2012; 2491-2499
0378-4371
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2011.11.062
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0378437111008971
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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