Wootters’ distance revisited: a new distinguishability criterium

The notion of distinguishability between quantum states has shown to be fundamental in the frame of quantum information theory. In this paper we present a new distinguishability criterium by using a information theoretic quantity: the Jensen-Shannon divergence (JSD). This quantity has several intere...

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Detalles Bibliográficos
Autores: Majtey, Ana P., Lamberti, Pedro W., Martín, María Teresa, Plastino, Ángel Luis
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2005
País:Argentina
Institución:Universidad Nacional de La Plata
Repositorio:SEDICI (UNLP)
Idioma:inglés
OAI Identifier:oai:sedici.unlp.edu.ar:10915/124259
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/124259
Access Level:acceso abierto
Palabra clave:Física
Probability theory, stochastic processes, and statistics
Quantum mechanics
Information theory and communication theory
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spelling Wootters’ distance revisited: a new distinguishability criteriumMajtey, Ana P.Lamberti, Pedro W.Martín, María TeresaPlastino, Ángel LuisFísicaProbability theory, stochastic processes, and statisticsQuantum mechanicsInformation theory and communication theoryThe notion of distinguishability between quantum states has shown to be fundamental in the frame of quantum information theory. In this paper we present a new distinguishability criterium by using a information theoretic quantity: the Jensen-Shannon divergence (JSD). This quantity has several interesting properties, both from a conceptual and a formal point of view. Previous to define this distinguishability criterium, we review some of the most frequently used distances defined over quantum mechanics’ Hilbert space. In this point our main claim is that the JSD can be taken as a unifying distance between quantum states.Instituto de Física La Plata2005-01-25info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf413-419http://sedici.unlp.edu.ar/handle/10915/124259enginfo:eu-repo/semantics/altIdentifier/issn/1434-6060info:eu-repo/semantics/altIdentifier/issn/1434-6079info:eu-repo/semantics/altIdentifier/doi/10.1140/epjd/e2005-00005-1info: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:UNLP2024-05-08T13:07:33Zoai:sedici.unlp.edu.ar:10915/124259Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292024-05-08 13:07:33.993SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Wootters’ distance revisited: a new distinguishability criterium
title Wootters’ distance revisited: a new distinguishability criterium
spellingShingle Wootters’ distance revisited: a new distinguishability criterium
Majtey, Ana P.
Física
Probability theory, stochastic processes, and statistics
Quantum mechanics
Information theory and communication theory
title_short Wootters’ distance revisited: a new distinguishability criterium
title_full Wootters’ distance revisited: a new distinguishability criterium
title_fullStr Wootters’ distance revisited: a new distinguishability criterium
title_full_unstemmed Wootters’ distance revisited: a new distinguishability criterium
title_sort Wootters’ distance revisited: a new distinguishability criterium
dc.creator.none.fl_str_mv Majtey, Ana P.
Lamberti, Pedro W.
Martín, María Teresa
Plastino, Ángel Luis
author Majtey, Ana P.
author_facet Majtey, Ana P.
Lamberti, Pedro W.
Martín, María Teresa
Plastino, Ángel Luis
author_role author
author2 Lamberti, Pedro W.
Martín, María Teresa
Plastino, Ángel Luis
author2_role author
author
author
dc.subject.none.fl_str_mv Física
Probability theory, stochastic processes, and statistics
Quantum mechanics
Information theory and communication theory
topic Física
Probability theory, stochastic processes, and statistics
Quantum mechanics
Information theory and communication theory
description The notion of distinguishability between quantum states has shown to be fundamental in the frame of quantum information theory. In this paper we present a new distinguishability criterium by using a information theoretic quantity: the Jensen-Shannon divergence (JSD). This quantity has several interesting properties, both from a conceptual and a formal point of view. Previous to define this distinguishability criterium, we review some of the most frequently used distances defined over quantum mechanics’ Hilbert space. In this point our main claim is that the JSD can be taken as a unifying distance between quantum states.
publishDate 2005
dc.date.none.fl_str_mv 2005-01-25
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/10915/124259
url http://sedici.unlp.edu.ar/handle/10915/124259
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/e2005-00005-1
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
413-419
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
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