Violation of majorization relations in entangled states and its detection by means of generalized entropic forms

We examine the violation of the majorization relations between the eigenvalues of the full and reduced density operators of entangled states of composite systems and its detection using generalized entropic forms based on arbitrary concave functions. It is shown that the violation of these relations...

ver descrição completa

Detalhes bibliográficos
Autores: Rossignoli, Raúl Dante, Canosa, Norma Beatriz
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2003
País:Argentina
Recursos:Universidad Nacional de La Plata
Repositório:SEDICI (UNLP)
Idioma:inglês
OAI Identifier:oai:sedici.unlp.edu.ar:10915/126053
Acesso em linha:http://sedici.unlp.edu.ar/handle/10915/126053
Access Level:Acceso aberto
Palavra-chave:Ciencias Exactas
Física
Physics
majorization relations
generalized entropic forms
id AR_6d2b2d3d2df1e44406d27df0999625bc
oai_identifier_str oai:sedici.unlp.edu.ar:10915/126053
network_acronym_str AR
network_name_str Argentina
repository_id_str
spelling Violation of majorization relations in entangled states and its detection by means of generalized entropic formsRossignoli, Raúl DanteCanosa, Norma BeatrizCiencias ExactasFísicaPhysicsmajorization relationsgeneralized entropic formsWe examine the violation of the majorization relations between the eigenvalues of the full and reduced density operators of entangled states of composite systems and its detection using generalized entropic forms based on arbitrary concave functions. It is shown that the violation of these relations may not always be detected by the conditional von Neumann and Tsallis entropies (for any q > 0). Families of smooth entropic forms which are always able to detect such violations are, however, provided. These features are then examined for particular sets of mixed states in a two-qudit system, which for d ≥ 3 may exhibit different types of violation of the majorization relations. Comparison with the Peres criterion for separability is also shown.Facultad de Ciencias Exactas2003-04info: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/10915/126053enginfo:eu-repo/semantics/altIdentifier/issn/1050-2947info:eu-repo/semantics/altIdentifier/issn/1094-1622info:eu-repo/semantics/altIdentifier/arxiv/1505.03611info:eu-repo/semantics/altIdentifier/doi/10.1103/physreva.67.042302info: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:UNLP2024-05-08T13:08:41Zoai:sedici.unlp.edu.ar:10915/126053Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292024-05-08 13:08:41.272SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Violation of majorization relations in entangled states and its detection by means of generalized entropic forms
title Violation of majorization relations in entangled states and its detection by means of generalized entropic forms
spellingShingle Violation of majorization relations in entangled states and its detection by means of generalized entropic forms
Rossignoli, Raúl Dante
Ciencias Exactas
Física
Physics
majorization relations
generalized entropic forms
title_short Violation of majorization relations in entangled states and its detection by means of generalized entropic forms
title_full Violation of majorization relations in entangled states and its detection by means of generalized entropic forms
title_fullStr Violation of majorization relations in entangled states and its detection by means of generalized entropic forms
title_full_unstemmed Violation of majorization relations in entangled states and its detection by means of generalized entropic forms
title_sort Violation of majorization relations in entangled states and its detection by means of generalized entropic forms
dc.creator.none.fl_str_mv Rossignoli, Raúl Dante
Canosa, Norma Beatriz
author Rossignoli, Raúl Dante
author_facet Rossignoli, Raúl Dante
Canosa, Norma Beatriz
author_role author
author2 Canosa, Norma Beatriz
author2_role author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
Physics
majorization relations
generalized entropic forms
topic Ciencias Exactas
Física
Physics
majorization relations
generalized entropic forms
description We examine the violation of the majorization relations between the eigenvalues of the full and reduced density operators of entangled states of composite systems and its detection using generalized entropic forms based on arbitrary concave functions. It is shown that the violation of these relations may not always be detected by the conditional von Neumann and Tsallis entropies (for any q > 0). Families of smooth entropic forms which are always able to detect such violations are, however, provided. These features are then examined for particular sets of mixed states in a two-qudit system, which for d ≥ 3 may exhibit different types of violation of the majorization relations. Comparison with the Peres criterion for separability is also shown.
publishDate 2003
dc.date.none.fl_str_mv 2003-04
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/10915/126053
url http://sedici.unlp.edu.ar/handle/10915/126053
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1050-2947
info:eu-repo/semantics/altIdentifier/issn/1094-1622
info:eu-repo/semantics/altIdentifier/arxiv/1505.03611
info:eu-repo/semantics/altIdentifier/doi/10.1103/physreva.67.042302
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
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
_version_ 1799194401465958400
score 15,198674

Registros relacionados