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

Autores
Canosa, Norma Beatriz; Cerezo de la Roca, Marco Vinicio Sebastián; Gigena, Nicolás Alejandro; Rossignoli, Raúl Dante; Fernandes Fanchini, Felipe; Oliveira Soares Pinto, Diogo; Adesso, Gerardo
Año de publicación
2017
Idioma
español castellano
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.
Facultad de Ciencias Exactas
Materia
Ciencias Exactas
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
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/75046
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/75046
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Quantum discord and entropic measures of quantum correlations: Optimization and behavior in finite XY spin chainsCanosa, Norma BeatrizCerezo de la Roca, Marco Vinicio SebastiánGigena, Nicolás AlejandroRossignoli, Raúl DanteFernandes Fanchini, FelipeOliveira Soares Pinto, DiogoAdesso, GerardoCiencias ExactasQuantum 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.Facultad de Ciencias ExactasSpringer2017info:eu-repo/semantics/bookPartinfo:eu-repo/semantics/publishedVersionCapitulo de librohttp://purl.org/coar/resource_type/c_3248info:ar-repo/semantics/parteDeLibroapplication/pdf455-471http://sedici.unlp.edu.ar/handle/10915/75046spainfo:eu-repo/semantics/altIdentifier/isbn/978-3-319-53412-1info:eu-repo/semantics/altIdentifier/hdl/11746/9968info:eu-repo/semantics/altIdentifier/doi/10.1007/978-3-319-53412-1_20info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-03T10:45:01Zoai:sedici.unlp.edu.ar:10915/75046Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 10:45:01.895SEDICI (UNLP) - Universidad Nacional de La Platafalse
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 Beatriz
Ciencias Exactas
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 Beatriz
Cerezo de la Roca, Marco Vinicio Sebastián
Gigena, Nicolás Alejandro
Rossignoli, Raúl Dante
Fernandes Fanchini, Felipe
Oliveira Soares Pinto, Diogo
Adesso, Gerardo
author Canosa, Norma Beatriz
author_facet Canosa, Norma Beatriz
Cerezo de la Roca, Marco Vinicio Sebastián
Gigena, Nicolás Alejandro
Rossignoli, Raúl Dante
Fernandes Fanchini, Felipe
Oliveira Soares Pinto, Diogo
Adesso, Gerardo
author_role author
author2 Cerezo de la Roca, Marco Vinicio Sebastián
Gigena, Nicolás Alejandro
Rossignoli, Raúl Dante
Fernandes Fanchini, Felipe
Oliveira Soares Pinto, Diogo
Adesso, Gerardo
author2_role author
author
author
author
author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Quantum Correlations
Quantum Discord
Quantum Spin Chains
topic Ciencias Exactas
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.
Facultad de Ciencias Exactas
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
Capitulo de libro
http://purl.org/coar/resource_type/c_3248
info:ar-repo/semantics/parteDeLibro
format bookPart
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/75046
url http://sedici.unlp.edu.ar/handle/10915/75046
dc.language.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/isbn/978-3-319-53412-1
info:eu-repo/semantics/altIdentifier/hdl/11746/9968
info:eu-repo/semantics/altIdentifier/doi/10.1007/978-3-319-53412-1_20
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
455-471
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 13.13397

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