Quantum Discord and entropic measures of quantum correlations: Optimization and behavior in finite XY spin chains

Autores
Canosa, Norma; Cerezo, M.; Gigena, Nicolás; Rossignoli, Raúl Dante
Año de publicación
2017
Idioma
inglés
Tipo de recurso
parte de libro
Estado
versión publicada
Descripción
We discuss a generalization of the conditional entropy and one-way information deficit in quantum systems, based on general entropic forms. The formalism allows to consider simple entropic forms for which a closed evaluation of the associated optimization problem in qudit-qubit systems is shown to become feasible, allowing to approximate that of the quantum discord. As application, we examine quantum correlations of spin pairs in the exact ground state of finiteXYspin chains in a magnetic field through the quantum discord and information deficit. While these quantities show a similar behavior, their optimizing measurements exhibit significant differences, which can be understood and predicted through the previous approximations. The remarkable behavior of these quantities in the vicinity of transverse and non-transverse factorizing fields is also discussed.
Materia
Ciencias Físicas
Quantum Correlations
Quantum Discord
Quantum Spin Chains
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
CIC Digital (CICBA)
Institución
Comisión de Investigaciones Científicas de la Provincia de Buenos Aires
OAI Identificador
oai:digital.cic.gba.gob.ar:11746/9968
Acceder
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oai_identifier_str oai:digital.cic.gba.gob.ar:11746/9968
network_acronym_str CICBA
repository_id_str 9441
network_name_str CIC Digital (CICBA)
spelling Quantum Discord and entropic measures of quantum correlations: Optimization and behavior in finite XY spin chainsCanosa, NormaCerezo, M.Gigena, NicolásRossignoli, Raúl DanteCiencias FísicasQuantum CorrelationsQuantum DiscordQuantum Spin ChainsWe discuss a generalization of the conditional entropy and one-way information deficit in quantum systems, based on general entropic forms. The formalism allows to consider simple entropic forms for which a closed evaluation of the associated optimization problem in qudit-qubit systems is shown to become feasible, allowing to approximate that of the quantum discord. As application, we examine quantum correlations of spin pairs in the exact ground state of finiteXYspin chains in a magnetic field through the quantum discord and information deficit. While these quantities show a similar behavior, their optimizing measurements exhibit significant differences, which can be understood and predicted through the previous approximations. The remarkable behavior of these quantities in the vicinity of transverse and non-transverse factorizing fields is also discussed.2017info:eu-repo/semantics/bookPartinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_3248info:ar-repo/semantics/parteDeLibroapplication/pdfhttps://digital.cic.gba.gob.ar/handle/11746/9968isbn:978-3-319-53412-1enginfo:eu-repo/semantics/altIdentifier/doi/10.1007/978-3-319-53412-1info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/reponame:CIC Digital (CICBA)instname:Comisión de Investigaciones Científicas de la Provincia de Buenos Airesinstacron:CICBA2025-09-04T09:43:42Zoai:digital.cic.gba.gob.ar:11746/9968Institucionalhttp://digital.cic.gba.gob.arOrganismo científico-tecnológicoNo correspondehttp://digital.cic.gba.gob.ar/oai/snrdmarisa.degiusti@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:94412025-09-04 09:43:43.205CIC Digital (CICBA) - Comisión de Investigaciones Científicas de la Provincia de Buenos Airesfalse
dc.title.none.fl_str_mv Quantum Discord and entropic measures of quantum correlations: Optimization and behavior in finite XY spin chains
title Quantum Discord and entropic measures of quantum correlations: Optimization and behavior in finite XY spin chains
spellingShingle Quantum Discord and entropic measures of quantum correlations: Optimization and behavior in finite XY spin chains
Canosa, Norma
Ciencias Físicas
Quantum Correlations
Quantum Discord
Quantum Spin Chains
title_short Quantum Discord and entropic measures of quantum correlations: Optimization and behavior in finite XY spin chains
title_full Quantum Discord and entropic measures of quantum correlations: Optimization and behavior in finite XY spin chains
title_fullStr Quantum Discord and entropic measures of quantum correlations: Optimization and behavior in finite XY spin chains
title_full_unstemmed Quantum Discord and entropic measures of quantum correlations: Optimization and behavior in finite XY spin chains
title_sort Quantum Discord and entropic measures of quantum correlations: Optimization and behavior in finite XY spin chains
dc.creator.none.fl_str_mv Canosa, Norma
Cerezo, M.
Gigena, Nicolás
Rossignoli, Raúl Dante
author Canosa, Norma
author_facet Canosa, Norma
Cerezo, M.
Gigena, Nicolás
Rossignoli, Raúl Dante
author_role author
author2 Cerezo, M.
Gigena, Nicolás
Rossignoli, Raúl Dante
author2_role author
author
author
dc.subject.none.fl_str_mv Ciencias Físicas
Quantum Correlations
Quantum Discord
Quantum Spin Chains
topic Ciencias Físicas
Quantum Correlations
Quantum Discord
Quantum Spin Chains
dc.description.none.fl_txt_mv We discuss a generalization of the conditional entropy and one-way information deficit in quantum systems, based on general entropic forms. The formalism allows to consider simple entropic forms for which a closed evaluation of the associated optimization problem in qudit-qubit systems is shown to become feasible, allowing to approximate that of the quantum discord. As application, we examine quantum correlations of spin pairs in the exact ground state of finiteXYspin chains in a magnetic field through the quantum discord and information deficit. While these quantities show a similar behavior, their optimizing measurements exhibit significant differences, which can be understood and predicted through the previous approximations. The remarkable behavior of these quantities in the vicinity of transverse and non-transverse factorizing fields is also discussed.
description We discuss a generalization of the conditional entropy and one-way information deficit in quantum systems, based on general entropic forms. The formalism allows to consider simple entropic forms for which a closed evaluation of the associated optimization problem in qudit-qubit systems is shown to become feasible, allowing to approximate that of the quantum discord. As application, we examine quantum correlations of spin pairs in the exact ground state of finiteXYspin chains in a magnetic field through the quantum discord and information deficit. While these quantities show a similar behavior, their optimizing measurements exhibit significant differences, which can be understood and predicted through the previous approximations. The remarkable behavior of these quantities in the vicinity of transverse and non-transverse factorizing fields is also discussed.
publishDate 2017
dc.date.none.fl_str_mv 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/bookPart
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_3248
info:ar-repo/semantics/parteDeLibro
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status_str publishedVersion
dc.identifier.none.fl_str_mv https://digital.cic.gba.gob.ar/handle/11746/9968
isbn:978-3-319-53412-1
url https://digital.cic.gba.gob.ar/handle/11746/9968
identifier_str_mv isbn:978-3-319-53412-1
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/978-3-319-53412-1
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
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dc.source.none.fl_str_mv reponame:CIC Digital (CICBA)
instname:Comisión de Investigaciones Científicas de la Provincia de Buenos Aires
instacron:CICBA
reponame_str CIC Digital (CICBA)
collection CIC Digital (CICBA)
instname_str Comisión de Investigaciones Científicas de la Provincia de Buenos Aires
instacron_str CICBA
institution CICBA
repository.name.fl_str_mv CIC Digital (CICBA) - Comisión de Investigaciones Científicas de la Provincia de Buenos Aires
repository.mail.fl_str_mv marisa.degiusti@sedici.unlp.edu.ar
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