Coherence resource power of isocoherent states

Autores
Losada, Marcelo Adrián; Bosyk, Gustavo Martin; Freytes, Hector; Sergioli, Giuseppe
Año de publicación
2022
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We address the problem of comparing quantum states with the same amount of coherence in terms of their coherence resource power given by the preorder of incoherent operations. For any coherence measure, two states with null or maximum value of coherence are equivalent with respect to that preorder. This is no longer true for intermediate values of coherence when pure states of quantum systems with dimension greater than two are considered. In particular, we show that, for any value of coherence (except the extreme values, zero and the maximum), there are infinite incomparable pure states with that value of coherence. These results are not peculiarities of a given coherence measure, but common properties of every well-behaved coherence measure. Furthermore, we show that for qubit mixed states there exist coherence measures, such as the relative entropy of coherence, that admit incomparable isocoherent states.
Fil: Losada, Marcelo Adrián. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Bosyk, Gustavo Martin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Freytes, Hector. Università degli Studi di Cagliari; Italia
Fil: Sergioli, Giuseppe. Università degli Studi di Cagliari; Italia
Materia
states
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:11336/210343
Acceder
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spelling Coherence resource power of isocoherent statesLosada, Marcelo AdriánBosyk, Gustavo MartinFreytes, HectorSergioli, Giuseppestateshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We address the problem of comparing quantum states with the same amount of coherence in terms of their coherence resource power given by the preorder of incoherent operations. For any coherence measure, two states with null or maximum value of coherence are equivalent with respect to that preorder. This is no longer true for intermediate values of coherence when pure states of quantum systems with dimension greater than two are considered. In particular, we show that, for any value of coherence (except the extreme values, zero and the maximum), there are infinite incomparable pure states with that value of coherence. These results are not peculiarities of a given coherence measure, but common properties of every well-behaved coherence measure. Furthermore, we show that for qubit mixed states there exist coherence measures, such as the relative entropy of coherence, that admit incomparable isocoherent states.Fil: Losada, Marcelo Adrián. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Bosyk, Gustavo Martin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Freytes, Hector. Università degli Studi di Cagliari; ItaliaFil: Sergioli, Giuseppe. Università degli Studi di Cagliari; ItaliaNature2022-05-05info: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/11336/210343Losada, Marcelo Adrián; Bosyk, Gustavo Martin; Freytes, Hector; Sergioli, Giuseppe; Coherence resource power of isocoherent states; Nature; Scientific Reports; 12; 1; 5-5-2022; 1-102045-2322CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1038/s41598-022-11300-xinfo:eu-repo/semantics/altIdentifier/url/https://www.nature.com/articles/s41598-022-11300-xinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:26:58Zoai:ri.conicet.gov.ar:11336/210343instacron: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:34982025-10-15 14:26:58.438CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Coherence resource power of isocoherent states
title Coherence resource power of isocoherent states
spellingShingle Coherence resource power of isocoherent states
Losada, Marcelo Adrián
states
title_short Coherence resource power of isocoherent states
title_full Coherence resource power of isocoherent states
title_fullStr Coherence resource power of isocoherent states
title_full_unstemmed Coherence resource power of isocoherent states
title_sort Coherence resource power of isocoherent states
dc.creator.none.fl_str_mv Losada, Marcelo Adrián
Bosyk, Gustavo Martin
Freytes, Hector
Sergioli, Giuseppe
author Losada, Marcelo Adrián
author_facet Losada, Marcelo Adrián
Bosyk, Gustavo Martin
Freytes, Hector
Sergioli, Giuseppe
author_role author
author2 Bosyk, Gustavo Martin
Freytes, Hector
Sergioli, Giuseppe
author2_role author
author
author
dc.subject.none.fl_str_mv states
topic states
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We address the problem of comparing quantum states with the same amount of coherence in terms of their coherence resource power given by the preorder of incoherent operations. For any coherence measure, two states with null or maximum value of coherence are equivalent with respect to that preorder. This is no longer true for intermediate values of coherence when pure states of quantum systems with dimension greater than two are considered. In particular, we show that, for any value of coherence (except the extreme values, zero and the maximum), there are infinite incomparable pure states with that value of coherence. These results are not peculiarities of a given coherence measure, but common properties of every well-behaved coherence measure. Furthermore, we show that for qubit mixed states there exist coherence measures, such as the relative entropy of coherence, that admit incomparable isocoherent states.
Fil: Losada, Marcelo Adrián. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Bosyk, Gustavo Martin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Freytes, Hector. Università degli Studi di Cagliari; Italia
Fil: Sergioli, Giuseppe. Università degli Studi di Cagliari; Italia
description We address the problem of comparing quantum states with the same amount of coherence in terms of their coherence resource power given by the preorder of incoherent operations. For any coherence measure, two states with null or maximum value of coherence are equivalent with respect to that preorder. This is no longer true for intermediate values of coherence when pure states of quantum systems with dimension greater than two are considered. In particular, we show that, for any value of coherence (except the extreme values, zero and the maximum), there are infinite incomparable pure states with that value of coherence. These results are not peculiarities of a given coherence measure, but common properties of every well-behaved coherence measure. Furthermore, we show that for qubit mixed states there exist coherence measures, such as the relative entropy of coherence, that admit incomparable isocoherent states.
publishDate 2022
dc.date.none.fl_str_mv 2022-05-05
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/11336/210343
Losada, Marcelo Adrián; Bosyk, Gustavo Martin; Freytes, Hector; Sergioli, Giuseppe; Coherence resource power of isocoherent states; Nature; Scientific Reports; 12; 1; 5-5-2022; 1-10
2045-2322
CONICET Digital
CONICET
url http://hdl.handle.net/11336/210343
identifier_str_mv Losada, Marcelo Adrián; Bosyk, Gustavo Martin; Freytes, Hector; Sergioli, Giuseppe; Coherence resource power of isocoherent states; Nature; Scientific Reports; 12; 1; 5-5-2022; 1-10
2045-2322
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1038/s41598-022-11300-x
info:eu-repo/semantics/altIdentifier/url/https://www.nature.com/articles/s41598-022-11300-x
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 Nature
publisher.none.fl_str_mv Nature
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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