Transformations of superpositions by means of incoherent operations

Autores
Losada, Marcelo; Bosyk, Gustavo Martin; Freytes, Hector; Sergioli, Giuseppe
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we study how the coherence of a superposition of pure states is related with the coherence of its components. We consider two pure initial states and two pure final coherent states, such that the former ones cannot be transformed into the latter ones by means of incoherent transformations. In this situation, we analyze conditions for the existence of superpositions of the initial states that can be transformed into superpositions of the final states. In particular, we consider superpositions formed by quantum states belonging to orthogonal subspaces. By appealing to the majorization theory, we obtain necessary and sufficient conditions for such transformations to be possible. Finally, we provide some examples that illustrate the difference between the obtained conditions and the necessary criterion based on the relative entropy of coherence.
Fil: Losada, Marcelo. Università degli Studi di Cagliari; Italia
Fil: Bosyk, Gustavo Martin. Università Degli Studi Di Cagliari; Italia. 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
QUANTUM COHERENCE
INCOHERENT OPERATIONS
SUPERPOSITION
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:11336/146199
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/146199
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Transformations of superpositions by means of incoherent operationsLosada, MarceloBosyk, Gustavo MartinFreytes, HectorSergioli, GiuseppeQUANTUM COHERENCEINCOHERENT OPERATIONSSUPERPOSITIONhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In this paper we study how the coherence of a superposition of pure states is related with the coherence of its components. We consider two pure initial states and two pure final coherent states, such that the former ones cannot be transformed into the latter ones by means of incoherent transformations. In this situation, we analyze conditions for the existence of superpositions of the initial states that can be transformed into superpositions of the final states. In particular, we consider superpositions formed by quantum states belonging to orthogonal subspaces. By appealing to the majorization theory, we obtain necessary and sufficient conditions for such transformations to be possible. Finally, we provide some examples that illustrate the difference between the obtained conditions and the necessary criterion based on the relative entropy of coherence.Fil: Losada, Marcelo. Università degli Studi di Cagliari; ItaliaFil: Bosyk, Gustavo Martin. Università Degli Studi Di Cagliari; Italia. 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; ItaliaNature Research2020-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/146199Losada, Marcelo; Bosyk, Gustavo Martin; Freytes, Hector; Sergioli, Giuseppe; Transformations of superpositions by means of incoherent operations; Nature Research; Scientific Reports; 10; 1; 5-20202045-2322CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.nature.com/articles/s41598-020-63661-winfo:eu-repo/semantics/altIdentifier/doi/10.1038/s41598-020-63661-winfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:19:11Zoai:ri.conicet.gov.ar:11336/146199instacron: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 15:19:11.679CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Transformations of superpositions by means of incoherent operations
title Transformations of superpositions by means of incoherent operations
spellingShingle Transformations of superpositions by means of incoherent operations
Losada, Marcelo
QUANTUM COHERENCE
INCOHERENT OPERATIONS
SUPERPOSITION
title_short Transformations of superpositions by means of incoherent operations
title_full Transformations of superpositions by means of incoherent operations
title_fullStr Transformations of superpositions by means of incoherent operations
title_full_unstemmed Transformations of superpositions by means of incoherent operations
title_sort Transformations of superpositions by means of incoherent operations
dc.creator.none.fl_str_mv Losada, Marcelo
Bosyk, Gustavo Martin
Freytes, Hector
Sergioli, Giuseppe
author Losada, Marcelo
author_facet Losada, Marcelo
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 QUANTUM COHERENCE
INCOHERENT OPERATIONS
SUPERPOSITION
topic QUANTUM COHERENCE
INCOHERENT OPERATIONS
SUPERPOSITION
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 paper we study how the coherence of a superposition of pure states is related with the coherence of its components. We consider two pure initial states and two pure final coherent states, such that the former ones cannot be transformed into the latter ones by means of incoherent transformations. In this situation, we analyze conditions for the existence of superpositions of the initial states that can be transformed into superpositions of the final states. In particular, we consider superpositions formed by quantum states belonging to orthogonal subspaces. By appealing to the majorization theory, we obtain necessary and sufficient conditions for such transformations to be possible. Finally, we provide some examples that illustrate the difference between the obtained conditions and the necessary criterion based on the relative entropy of coherence.
Fil: Losada, Marcelo. Università degli Studi di Cagliari; Italia
Fil: Bosyk, Gustavo Martin. Università Degli Studi Di Cagliari; Italia. 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 In this paper we study how the coherence of a superposition of pure states is related with the coherence of its components. We consider two pure initial states and two pure final coherent states, such that the former ones cannot be transformed into the latter ones by means of incoherent transformations. In this situation, we analyze conditions for the existence of superpositions of the initial states that can be transformed into superpositions of the final states. In particular, we consider superpositions formed by quantum states belonging to orthogonal subspaces. By appealing to the majorization theory, we obtain necessary and sufficient conditions for such transformations to be possible. Finally, we provide some examples that illustrate the difference between the obtained conditions and the necessary criterion based on the relative entropy of coherence.
publishDate 2020
dc.date.none.fl_str_mv 2020-05
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/11336/146199
Losada, Marcelo; Bosyk, Gustavo Martin; Freytes, Hector; Sergioli, Giuseppe; Transformations of superpositions by means of incoherent operations; Nature Research; Scientific Reports; 10; 1; 5-2020
2045-2322
CONICET Digital
CONICET
url http://hdl.handle.net/11336/146199
identifier_str_mv Losada, Marcelo; Bosyk, Gustavo Martin; Freytes, Hector; Sergioli, Giuseppe; Transformations of superpositions by means of incoherent operations; Nature Research; Scientific Reports; 10; 1; 5-2020
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/url/http://www.nature.com/articles/s41598-020-63661-w
info:eu-repo/semantics/altIdentifier/doi/10.1038/s41598-020-63661-w
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
dc.publisher.none.fl_str_mv Nature Research
publisher.none.fl_str_mv Nature Research
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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score 13.22299

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