A family of generalized quantum entropies: definition and properties

Autores
Bosyk, Gustavo Martín; Zozor, Steeve; Holik, Federico Hernán; Portesi, Mariela Adelina; Lamberti, Pedro Walter
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We present a quantum version of the generalized (h, φ)-entropies, introduced by Salicrú et al. for the study of classical probability distributions.We establish their basic properties and show that already known quantum entropies such as von Neumann, and quantum versions of Rényi, Tsallis, and unified entropies, constitute particular classes of the present general quantum Salicrú form. We exhibit that majorization plays a key role in explaining most of their common features. We give a characterization of the quantum (h, φ)-entropies under the action of quantum operations and study their properties for composite systems. We apply these generalized entropies to the problem of detection of quantum entanglement and introduce a discussion on possible generalized conditional entropies as well.
Facultad de Ciencias Exactas
Instituto de Física La Plata
Materia
Ciencias Exactas
Física
quantum entropies
majorization relation
entanglement detection
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/103231
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/103231
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling A family of generalized quantum entropies: definition and propertiesBosyk, Gustavo MartínZozor, SteeveHolik, Federico HernánPortesi, Mariela AdelinaLamberti, Pedro WalterCiencias ExactasFísicaquantum entropiesmajorization relationentanglement detectionWe present a quantum version of the generalized (h, φ)-entropies, introduced by Salicrú et al. for the study of classical probability distributions.We establish their basic properties and show that already known quantum entropies such as von Neumann, and quantum versions of Rényi, Tsallis, and unified entropies, constitute particular classes of the present general quantum Salicrú form. We exhibit that majorization plays a key role in explaining most of their common features. We give a characterization of the quantum (h, φ)-entropies under the action of quantum operations and study their properties for composite systems. We apply these generalized entropies to the problem of detection of quantum entanglement and introduce a discussion on possible generalized conditional entropies as well.Facultad de Ciencias ExactasInstituto de Física La Plata2016info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/103231enginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s11128-016-1329-5info:eu-repo/semantics/altIdentifier/issn/1573-1332info:eu-repo/semantics/altIdentifier/doi/10.1007/s11128-016-1329-5info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-03T10:54:34Zoai:sedici.unlp.edu.ar:10915/103231Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 10:54:35.177SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv A family of generalized quantum entropies: definition and properties
title A family of generalized quantum entropies: definition and properties
spellingShingle A family of generalized quantum entropies: definition and properties
Bosyk, Gustavo Martín
Ciencias Exactas
Física
quantum entropies
majorization relation
entanglement detection
title_short A family of generalized quantum entropies: definition and properties
title_full A family of generalized quantum entropies: definition and properties
title_fullStr A family of generalized quantum entropies: definition and properties
title_full_unstemmed A family of generalized quantum entropies: definition and properties
title_sort A family of generalized quantum entropies: definition and properties
dc.creator.none.fl_str_mv Bosyk, Gustavo Martín
Zozor, Steeve
Holik, Federico Hernán
Portesi, Mariela Adelina
Lamberti, Pedro Walter
author Bosyk, Gustavo Martín
author_facet Bosyk, Gustavo Martín
Zozor, Steeve
Holik, Federico Hernán
Portesi, Mariela Adelina
Lamberti, Pedro Walter
author_role author
author2 Zozor, Steeve
Holik, Federico Hernán
Portesi, Mariela Adelina
Lamberti, Pedro Walter
author2_role author
author
author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
quantum entropies
majorization relation
entanglement detection
topic Ciencias Exactas
Física
quantum entropies
majorization relation
entanglement detection
dc.description.none.fl_txt_mv We present a quantum version of the generalized (h, φ)-entropies, introduced by Salicrú et al. for the study of classical probability distributions.We establish their basic properties and show that already known quantum entropies such as von Neumann, and quantum versions of Rényi, Tsallis, and unified entropies, constitute particular classes of the present general quantum Salicrú form. We exhibit that majorization plays a key role in explaining most of their common features. We give a characterization of the quantum (h, φ)-entropies under the action of quantum operations and study their properties for composite systems. We apply these generalized entropies to the problem of detection of quantum entanglement and introduce a discussion on possible generalized conditional entropies as well.
Facultad de Ciencias Exactas
Instituto de Física La Plata
description We present a quantum version of the generalized (h, φ)-entropies, introduced by Salicrú et al. for the study of classical probability distributions.We establish their basic properties and show that already known quantum entropies such as von Neumann, and quantum versions of Rényi, Tsallis, and unified entropies, constitute particular classes of the present general quantum Salicrú form. We exhibit that majorization plays a key role in explaining most of their common features. We give a characterization of the quantum (h, φ)-entropies under the action of quantum operations and study their properties for composite systems. We apply these generalized entropies to the problem of detection of quantum entanglement and introduce a discussion on possible generalized conditional entropies as well.
publishDate 2016
dc.date.none.fl_str_mv 2016
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/103231
url http://sedici.unlp.edu.ar/handle/10915/103231
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s11128-016-1329-5
info:eu-repo/semantics/altIdentifier/issn/1573-1332
info:eu-repo/semantics/altIdentifier/doi/10.1007/s11128-016-1329-5
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
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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