Entropic entanglement criteria for Fermion systems

Autores
Zander, Claudia; Plastino, Ángel Ricardo; Casas, Montserrat; Plastino, Ángel Luis
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Entanglement criteria for general (pure or mixed) states of systems consisting of two; identical fermions are introduced. These criteria are based on appropriate inequalities; involving the entropy of the global density matrix describing the total system, on the one; hand, and the entropy of the one-particle reduced density matrix, on the other hand. A; majorization-related relation between these two density matrices is obtained, leading to a; family of entanglement criteria based on Renyi’s entropic measure. These criteria are; applied to various illustrative examples of parametrized families of mixed states. The; dependence of the entanglement detection efficiency on Renyi’s entropic parameter is; investigated. The extension of these criteria to systems of N identical; fermions is also considered.
Facultad de Ciencias Exactas
Materia
Física
Fermions
Entanglement
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:10915/123922
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/123922
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Entropic entanglement criteria for Fermion systemsZander, ClaudiaPlastino, Ángel RicardoCasas, MontserratPlastino, Ángel LuisFísicaFermionsEntanglementEntanglement criteria for general (pure or mixed) states of systems consisting of two; identical fermions are introduced. These criteria are based on appropriate inequalities; involving the entropy of the global density matrix describing the total system, on the one; hand, and the entropy of the one-particle reduced density matrix, on the other hand. A; majorization-related relation between these two density matrices is obtained, leading to a; family of entanglement criteria based on Renyi’s entropic measure. These criteria are; applied to various illustrative examples of parametrized families of mixed states. The; dependence of the entanglement detection efficiency on Renyi’s entropic parameter is; investigated. The extension of these criteria to systems of N identical; fermions is also considered.Facultad de Ciencias Exactas2012info: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/10915/123922enginfo:eu-repo/semantics/altIdentifier/issn/1434-6060info:eu-repo/semantics/altIdentifier/issn/1434-6079info:eu-repo/semantics/altIdentifier/doi/10.1140/epjd/e2011-10654-xinfo: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:UNLP2025-09-29T11:29:24Zoai:sedici.unlp.edu.ar:10915/123922Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:29:24.913SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Entropic entanglement criteria for Fermion systems
title Entropic entanglement criteria for Fermion systems
spellingShingle Entropic entanglement criteria for Fermion systems
Zander, Claudia
Física
Fermions
Entanglement
title_short Entropic entanglement criteria for Fermion systems
title_full Entropic entanglement criteria for Fermion systems
title_fullStr Entropic entanglement criteria for Fermion systems
title_full_unstemmed Entropic entanglement criteria for Fermion systems
title_sort Entropic entanglement criteria for Fermion systems
dc.creator.none.fl_str_mv Zander, Claudia
Plastino, Ángel Ricardo
Casas, Montserrat
Plastino, Ángel Luis
author Zander, Claudia
author_facet Zander, Claudia
Plastino, Ángel Ricardo
Casas, Montserrat
Plastino, Ángel Luis
author_role author
author2 Plastino, Ángel Ricardo
Casas, Montserrat
Plastino, Ángel Luis
author2_role author
author
author
dc.subject.none.fl_str_mv Física
Fermions
Entanglement
topic Física
Fermions
Entanglement
dc.description.none.fl_txt_mv Entanglement criteria for general (pure or mixed) states of systems consisting of two; identical fermions are introduced. These criteria are based on appropriate inequalities; involving the entropy of the global density matrix describing the total system, on the one; hand, and the entropy of the one-particle reduced density matrix, on the other hand. A; majorization-related relation between these two density matrices is obtained, leading to a; family of entanglement criteria based on Renyi’s entropic measure. These criteria are; applied to various illustrative examples of parametrized families of mixed states. The; dependence of the entanglement detection efficiency on Renyi’s entropic parameter is; investigated. The extension of these criteria to systems of N identical; fermions is also considered.
Facultad de Ciencias Exactas
description Entanglement criteria for general (pure or mixed) states of systems consisting of two; identical fermions are introduced. These criteria are based on appropriate inequalities; involving the entropy of the global density matrix describing the total system, on the one; hand, and the entropy of the one-particle reduced density matrix, on the other hand. A; majorization-related relation between these two density matrices is obtained, leading to a; family of entanglement criteria based on Renyi’s entropic measure. These criteria are; applied to various illustrative examples of parametrized families of mixed states. The; dependence of the entanglement detection efficiency on Renyi’s entropic parameter is; investigated. The extension of these criteria to systems of N identical; fermions is also considered.
publishDate 2012
dc.date.none.fl_str_mv 2012
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/10915/123922
url http://sedici.unlp.edu.ar/handle/10915/123922
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1434-6060
info:eu-repo/semantics/altIdentifier/issn/1434-6079
info:eu-repo/semantics/altIdentifier/doi/10.1140/epjd/e2011-10654-x
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
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 13.070432

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