On the `fake' inferred entanglement associated with the maximum entropy inference of quantum states

Autores
Batle, Josep; Casas, M.; Plastino, Ángel Ricardo; Plastino, Ángel Luis
Año de publicación
2001
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The inference of entangled quantum states by recourse to the maximum entropy (MaxEnt) principle is considered in connection with the recently pointed out problem of fake inferred entanglement (Horodecki R et al 1999 Phys. Rev. A 59 1799). We show that there are operators Â, both diagonal and non-diagonal in the Bell basis, such that, when the expectation value  is taken as prior information, the problem of fake entanglement is not solved by adding a new constraint associated with the mean value of Â2 (unlike what happens when the partial information is given by the expectation value of a Bell operator). The fake entanglement generated by the MaxEnt principle is also studied quantitatively by comparing the entanglement of formation of the inferred state with that of the original one.
Instituto de Física La Plata
Facultad de Ciencias Astronómicas y Geofísicas
Materia
Física
Quantum entanglement
Maximum entropy principle
Quantum information theory
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:10915/129313

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spelling On the `fake' inferred entanglement associated with the maximum entropy inference of quantum statesBatle, JosepCasas, M.Plastino, Ángel RicardoPlastino, Ángel LuisFísicaQuantum entanglementMaximum entropy principleQuantum information theoryThe inference of entangled quantum states by recourse to the maximum entropy (MaxEnt) principle is considered in connection with the recently pointed out problem of fake inferred entanglement (Horodecki R et al 1999 Phys. Rev. A 59 1799). We show that there are operators Â, both diagonal and non-diagonal in the Bell basis, such that, when the expectation value  is taken as prior information, the problem of fake entanglement is not solved by adding a new constraint associated with the mean value of Â2 (unlike what happens when the partial information is given by the expectation value of a Bell operator). The fake entanglement generated by the MaxEnt principle is also studied quantitatively by comparing the entanglement of formation of the inferred state with that of the original one.Instituto de Física La PlataFacultad de Ciencias Astronómicas y Geofísicas2001info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf6443-6458http://sedici.unlp.edu.ar/handle/10915/129313enginfo:eu-repo/semantics/altIdentifier/issn/0305-4470info:eu-repo/semantics/altIdentifier/issn/1361-6447info:eu-repo/semantics/altIdentifier/arxiv/quant-ph/0107023info:eu-repo/semantics/altIdentifier/doi/10.1088/0305-4470/34/33/309info: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:UNLP2025-09-03T11:03:23Zoai:sedici.unlp.edu.ar:10915/129313Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 11:03:23.209SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv On the `fake' inferred entanglement associated with the maximum entropy inference of quantum states
title On the `fake' inferred entanglement associated with the maximum entropy inference of quantum states
spellingShingle On the `fake' inferred entanglement associated with the maximum entropy inference of quantum states
Batle, Josep
Física
Quantum entanglement
Maximum entropy principle
Quantum information theory
title_short On the `fake' inferred entanglement associated with the maximum entropy inference of quantum states
title_full On the `fake' inferred entanglement associated with the maximum entropy inference of quantum states
title_fullStr On the `fake' inferred entanglement associated with the maximum entropy inference of quantum states
title_full_unstemmed On the `fake' inferred entanglement associated with the maximum entropy inference of quantum states
title_sort On the `fake' inferred entanglement associated with the maximum entropy inference of quantum states
dc.creator.none.fl_str_mv Batle, Josep
Casas, M.
Plastino, Ángel Ricardo
Plastino, Ángel Luis
author Batle, Josep
author_facet Batle, Josep
Casas, M.
Plastino, Ángel Ricardo
Plastino, Ángel Luis
author_role author
author2 Casas, M.
Plastino, Ángel Ricardo
Plastino, Ángel Luis
author2_role author
author
author
dc.subject.none.fl_str_mv Física
Quantum entanglement
Maximum entropy principle
Quantum information theory
topic Física
Quantum entanglement
Maximum entropy principle
Quantum information theory
dc.description.none.fl_txt_mv The inference of entangled quantum states by recourse to the maximum entropy (MaxEnt) principle is considered in connection with the recently pointed out problem of fake inferred entanglement (Horodecki R et al 1999 Phys. Rev. A 59 1799). We show that there are operators Â, both diagonal and non-diagonal in the Bell basis, such that, when the expectation value  is taken as prior information, the problem of fake entanglement is not solved by adding a new constraint associated with the mean value of Â2 (unlike what happens when the partial information is given by the expectation value of a Bell operator). The fake entanglement generated by the MaxEnt principle is also studied quantitatively by comparing the entanglement of formation of the inferred state with that of the original one.
Instituto de Física La Plata
Facultad de Ciencias Astronómicas y Geofísicas
description The inference of entangled quantum states by recourse to the maximum entropy (MaxEnt) principle is considered in connection with the recently pointed out problem of fake inferred entanglement (Horodecki R et al 1999 Phys. Rev. A 59 1799). We show that there are operators Â, both diagonal and non-diagonal in the Bell basis, such that, when the expectation value  is taken as prior information, the problem of fake entanglement is not solved by adding a new constraint associated with the mean value of Â2 (unlike what happens when the partial information is given by the expectation value of a Bell operator). The fake entanglement generated by the MaxEnt principle is also studied quantitatively by comparing the entanglement of formation of the inferred state with that of the original one.
publishDate 2001
dc.date.none.fl_str_mv 2001
dc.type.none.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/129313
url http://sedici.unlp.edu.ar/handle/10915/129313
dc.language.none.fl_str_mv eng
language eng
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info:eu-repo/semantics/altIdentifier/issn/1361-6447
info:eu-repo/semantics/altIdentifier/arxiv/quant-ph/0107023
info:eu-repo/semantics/altIdentifier/doi/10.1088/0305-4470/34/33/309
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
6443-6458
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instname_str Universidad Nacional de La Plata
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repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
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