Uncertainty relations and entanglement in fermion systems

Autores
Zander, C.; Plastino, Ángel Ricardo
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The violation of uncertainty relations is used as a signature of entanglement for both pure and mixed states of two identical fermions. In the case of fermions with a four-dimensional single-particle Hilbert space we obtain several different types of uncertainty-related entanglement criteria based on local uncertainty relations, on the sum of variances of projectors, and on various entropic measures. Within the latter approach we consider either entropic uncertainty relationsinvolving a single observable or relations based upon the sum of entropies associated with more than one observable. We extend the projector-based entanglement criterion to the case of two-fermion and three-fermion systems with a six-dimensional single-particle Hilbert space.
Fil: Zander, C.. University of Pretoria; Sudáfrica
Fil: Plastino, Ángel Ricardo. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Centro Regional de Estudios Genómicos; . Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Materia
UNCERTAINTY RELATIONS
ENTANGLEMENT
FERMION SYSTEMS
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:11336/242377
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Uncertainty relations and entanglement in fermion systemsZander, C.Plastino, Ángel RicardoUNCERTAINTY RELATIONSENTANGLEMENTFERMION SYSTEMShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The violation of uncertainty relations is used as a signature of entanglement for both pure and mixed states of two identical fermions. In the case of fermions with a four-dimensional single-particle Hilbert space we obtain several different types of uncertainty-related entanglement criteria based on local uncertainty relations, on the sum of variances of projectors, and on various entropic measures. Within the latter approach we consider either entropic uncertainty relationsinvolving a single observable or relations based upon the sum of entropies associated with more than one observable. We extend the projector-based entanglement criterion to the case of two-fermion and three-fermion systems with a six-dimensional single-particle Hilbert space.Fil: Zander, C.. University of Pretoria; SudáfricaFil: Plastino, Ángel Ricardo. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Centro Regional de Estudios Genómicos; . Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; ArgentinaAmerican Physical Society2010-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/242377Zander, C.; Plastino, Ángel Ricardo; Uncertainty relations and entanglement in fermion systems; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 81; 6; 6-2010; 1-101050-2947CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.81.062128info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.81.062128info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:12:13Zoai:ri.conicet.gov.ar:11336/242377instacron: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:34982025-10-22 11:12:13.491CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Uncertainty relations and entanglement in fermion systems
title Uncertainty relations and entanglement in fermion systems
spellingShingle Uncertainty relations and entanglement in fermion systems
Zander, C.
UNCERTAINTY RELATIONS
ENTANGLEMENT
FERMION SYSTEMS
title_short Uncertainty relations and entanglement in fermion systems
title_full Uncertainty relations and entanglement in fermion systems
title_fullStr Uncertainty relations and entanglement in fermion systems
title_full_unstemmed Uncertainty relations and entanglement in fermion systems
title_sort Uncertainty relations and entanglement in fermion systems
dc.creator.none.fl_str_mv Zander, C.
Plastino, Ángel Ricardo
author Zander, C.
author_facet Zander, C.
Plastino, Ángel Ricardo
author_role author
author2 Plastino, Ángel Ricardo
author2_role author
dc.subject.none.fl_str_mv UNCERTAINTY RELATIONS
ENTANGLEMENT
FERMION SYSTEMS
topic UNCERTAINTY RELATIONS
ENTANGLEMENT
FERMION SYSTEMS
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 violation of uncertainty relations is used as a signature of entanglement for both pure and mixed states of two identical fermions. In the case of fermions with a four-dimensional single-particle Hilbert space we obtain several different types of uncertainty-related entanglement criteria based on local uncertainty relations, on the sum of variances of projectors, and on various entropic measures. Within the latter approach we consider either entropic uncertainty relationsinvolving a single observable or relations based upon the sum of entropies associated with more than one observable. We extend the projector-based entanglement criterion to the case of two-fermion and three-fermion systems with a six-dimensional single-particle Hilbert space.
Fil: Zander, C.. University of Pretoria; Sudáfrica
Fil: Plastino, Ángel Ricardo. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Centro Regional de Estudios Genómicos; . Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
description The violation of uncertainty relations is used as a signature of entanglement for both pure and mixed states of two identical fermions. In the case of fermions with a four-dimensional single-particle Hilbert space we obtain several different types of uncertainty-related entanglement criteria based on local uncertainty relations, on the sum of variances of projectors, and on various entropic measures. Within the latter approach we consider either entropic uncertainty relationsinvolving a single observable or relations based upon the sum of entropies associated with more than one observable. We extend the projector-based entanglement criterion to the case of two-fermion and three-fermion systems with a six-dimensional single-particle Hilbert space.
publishDate 2010
dc.date.none.fl_str_mv 2010-06
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/11336/242377
Zander, C.; Plastino, Ángel Ricardo; Uncertainty relations and entanglement in fermion systems; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 81; 6; 6-2010; 1-10
1050-2947
CONICET Digital
CONICET
url http://hdl.handle.net/11336/242377
identifier_str_mv Zander, C.; Plastino, Ángel Ricardo; Uncertainty relations and entanglement in fermion systems; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 81; 6; 6-2010; 1-10
1050-2947
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.81.062128
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.81.062128
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 American Physical Society
publisher.none.fl_str_mv American Physical Society
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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score 12.982451

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