Purification-based metric to measure the distance between quantum states and processes

Autores
Osán, Tristán Martín; Lamberti, Pedro Walter
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this work we study the properties of a purification-based entropic metric for measuring the distance between both quantum states and quantum processes. This metric is defined as the square root of the entropy of the average of two purifications of mixed quantum states which maximize the overlap between the purified states. We analyze this metric and show that it satisfies many appealing properties, which suggest this metric is an interesting proposal for theoretical and experimental applications of quantum information.
Fil: Osán, Tristán Martín. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
Fil: Lamberti, Pedro Walter. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina
Materia
QUANTUM DISTANCES
PURIFICATION
QUANTUM INFORMATION PROCESSING
JENSEN-SHANNON DIVERGENCE
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:11336/82337
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/82337
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Purification-based metric to measure the distance between quantum states and processesOsán, Tristán MartínLamberti, Pedro WalterQUANTUM DISTANCESPURIFICATIONQUANTUM INFORMATION PROCESSINGJENSEN-SHANNON DIVERGENCEhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In this work we study the properties of a purification-based entropic metric for measuring the distance between both quantum states and quantum processes. This metric is defined as the square root of the entropy of the average of two purifications of mixed quantum states which maximize the overlap between the purified states. We analyze this metric and show that it satisfies many appealing properties, which suggest this metric is an interesting proposal for theoretical and experimental applications of quantum information.Fil: Osán, Tristán Martín. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; ArgentinaFil: Lamberti, Pedro Walter. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; ArgentinaAmerican Physical Society2013-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/82337Osán, Tristán Martín; Lamberti, Pedro Walter; Purification-based metric to measure the distance between quantum states and processes; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 87; 6; 6-20131050-29471094-1622CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://pra.aps.org/abstract/PRA/v87/i6/e062319info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.87.062319info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:05:53Zoai:ri.conicet.gov.ar:11336/82337instacron: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:34982025-09-29 10:05:53.554CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Purification-based metric to measure the distance between quantum states and processes
title Purification-based metric to measure the distance between quantum states and processes
spellingShingle Purification-based metric to measure the distance between quantum states and processes
Osán, Tristán Martín
QUANTUM DISTANCES
PURIFICATION
QUANTUM INFORMATION PROCESSING
JENSEN-SHANNON DIVERGENCE
title_short Purification-based metric to measure the distance between quantum states and processes
title_full Purification-based metric to measure the distance between quantum states and processes
title_fullStr Purification-based metric to measure the distance between quantum states and processes
title_full_unstemmed Purification-based metric to measure the distance between quantum states and processes
title_sort Purification-based metric to measure the distance between quantum states and processes
dc.creator.none.fl_str_mv Osán, Tristán Martín
Lamberti, Pedro Walter
author Osán, Tristán Martín
author_facet Osán, Tristán Martín
Lamberti, Pedro Walter
author_role author
author2 Lamberti, Pedro Walter
author2_role author
dc.subject.none.fl_str_mv QUANTUM DISTANCES
PURIFICATION
QUANTUM INFORMATION PROCESSING
JENSEN-SHANNON DIVERGENCE
topic QUANTUM DISTANCES
PURIFICATION
QUANTUM INFORMATION PROCESSING
JENSEN-SHANNON DIVERGENCE
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this work we study the properties of a purification-based entropic metric for measuring the distance between both quantum states and quantum processes. This metric is defined as the square root of the entropy of the average of two purifications of mixed quantum states which maximize the overlap between the purified states. We analyze this metric and show that it satisfies many appealing properties, which suggest this metric is an interesting proposal for theoretical and experimental applications of quantum information.
Fil: Osán, Tristán Martín. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
Fil: Lamberti, Pedro Walter. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina
description In this work we study the properties of a purification-based entropic metric for measuring the distance between both quantum states and quantum processes. This metric is defined as the square root of the entropy of the average of two purifications of mixed quantum states which maximize the overlap between the purified states. We analyze this metric and show that it satisfies many appealing properties, which suggest this metric is an interesting proposal for theoretical and experimental applications of quantum information.
publishDate 2013
dc.date.none.fl_str_mv 2013-06
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/11336/82337
Osán, Tristán Martín; Lamberti, Pedro Walter; Purification-based metric to measure the distance between quantum states and processes; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 87; 6; 6-2013
1050-2947
1094-1622
CONICET Digital
CONICET
url http://hdl.handle.net/11336/82337
identifier_str_mv Osán, Tristán Martín; Lamberti, Pedro Walter; Purification-based metric to measure the distance between quantum states and processes; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 87; 6; 6-2013
1050-2947
1094-1622
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://pra.aps.org/abstract/PRA/v87/i6/e062319
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.87.062319
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
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
_version_ 1844613900596674560
score 13.070432

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