Entropic characterization of quantum states with maximal evolution under given energy constraints

Autores
Majtey, Ana Paula; Valdés Hernández, Andrea; Maglione, Cesar German; Plastino, Ángel Ricardo
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A measure D[t1, t2] for the amount of dynamical evolution exhibited by a quantum system during a time interval [t1, t2] is defined in terms of how distinguishable from each other are, on average, the states of the system at different times. We investigate some properties of the measure D showing that, for increasing values of the interval's duration, the measure quickly reaches an asymptotic value given by the linear entropy of the energy distribution associated with the system's (pure) quantum state. This leads to the formulation of an entropic variational problem characterizing the quantum states that exhibit the largest amount of dynamical evolution under energy constraints given by the expectation value of the energy.
Fil: Majtey, Ana Paula. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Valdés Hernández, Andrea. Universidad Nacional Autónoma de México; México
Fil: Maglione, Cesar German. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Bioinvestigaciones (Sede Pergamino); Argentina
Materia
DISTINGUISHABILITY OF QUANTUM STATES
MAXIMUM ENTROPY
QUANTUM EVOLUTION
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/124410
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Entropic characterization of quantum states with maximal evolution under given energy constraintsMajtey, Ana PaulaValdés Hernández, AndreaMaglione, Cesar GermanPlastino, Ángel RicardoDISTINGUISHABILITY OF QUANTUM STATESMAXIMUM ENTROPYQUANTUM EVOLUTIONhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1A measure D[t1, t2] for the amount of dynamical evolution exhibited by a quantum system during a time interval [t1, t2] is defined in terms of how distinguishable from each other are, on average, the states of the system at different times. We investigate some properties of the measure D showing that, for increasing values of the interval's duration, the measure quickly reaches an asymptotic value given by the linear entropy of the energy distribution associated with the system's (pure) quantum state. This leads to the formulation of an entropic variational problem characterizing the quantum states that exhibit the largest amount of dynamical evolution under energy constraints given by the expectation value of the energy.Fil: Majtey, Ana Paula. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaFil: Valdés Hernández, Andrea. Universidad Nacional Autónoma de México; MéxicoFil: Maglione, Cesar German. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaFil: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Bioinvestigaciones (Sede Pergamino); ArgentinaMolecular Diversity Preservation International2019-08-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/124410Majtey, Ana Paula; Valdés Hernández, Andrea; Maglione, Cesar German; Plastino, Ángel Ricardo; Entropic characterization of quantum states with maximal evolution under given energy constraints; Molecular Diversity Preservation International; Entropy; 21; 8; 7-8-2019; 1-17; 7701099-4300CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/1099-4300/21/8/770info:eu-repo/semantics/altIdentifier/doi/10.3390/e21080770info:eu-repo/semantics/altIdentifier/url/https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7515300/info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:37:52Zoai:ri.conicet.gov.ar:11336/124410instacron: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 14:37:52.594CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Entropic characterization of quantum states with maximal evolution under given energy constraints
title Entropic characterization of quantum states with maximal evolution under given energy constraints
spellingShingle Entropic characterization of quantum states with maximal evolution under given energy constraints
Majtey, Ana Paula
DISTINGUISHABILITY OF QUANTUM STATES
MAXIMUM ENTROPY
QUANTUM EVOLUTION
title_short Entropic characterization of quantum states with maximal evolution under given energy constraints
title_full Entropic characterization of quantum states with maximal evolution under given energy constraints
title_fullStr Entropic characterization of quantum states with maximal evolution under given energy constraints
title_full_unstemmed Entropic characterization of quantum states with maximal evolution under given energy constraints
title_sort Entropic characterization of quantum states with maximal evolution under given energy constraints
dc.creator.none.fl_str_mv Majtey, Ana Paula
Valdés Hernández, Andrea
Maglione, Cesar German
Plastino, Ángel Ricardo
author Majtey, Ana Paula
author_facet Majtey, Ana Paula
Valdés Hernández, Andrea
Maglione, Cesar German
Plastino, Ángel Ricardo
author_role author
author2 Valdés Hernández, Andrea
Maglione, Cesar German
Plastino, Ángel Ricardo
author2_role author
author
author
dc.subject.none.fl_str_mv DISTINGUISHABILITY OF QUANTUM STATES
MAXIMUM ENTROPY
QUANTUM EVOLUTION
topic DISTINGUISHABILITY OF QUANTUM STATES
MAXIMUM ENTROPY
QUANTUM EVOLUTION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv A measure D[t1, t2] for the amount of dynamical evolution exhibited by a quantum system during a time interval [t1, t2] is defined in terms of how distinguishable from each other are, on average, the states of the system at different times. We investigate some properties of the measure D showing that, for increasing values of the interval's duration, the measure quickly reaches an asymptotic value given by the linear entropy of the energy distribution associated with the system's (pure) quantum state. This leads to the formulation of an entropic variational problem characterizing the quantum states that exhibit the largest amount of dynamical evolution under energy constraints given by the expectation value of the energy.
Fil: Majtey, Ana Paula. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Valdés Hernández, Andrea. Universidad Nacional Autónoma de México; México
Fil: Maglione, Cesar German. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Bioinvestigaciones (Sede Pergamino); Argentina
description A measure D[t1, t2] for the amount of dynamical evolution exhibited by a quantum system during a time interval [t1, t2] is defined in terms of how distinguishable from each other are, on average, the states of the system at different times. We investigate some properties of the measure D showing that, for increasing values of the interval's duration, the measure quickly reaches an asymptotic value given by the linear entropy of the energy distribution associated with the system's (pure) quantum state. This leads to the formulation of an entropic variational problem characterizing the quantum states that exhibit the largest amount of dynamical evolution under energy constraints given by the expectation value of the energy.
publishDate 2019
dc.date.none.fl_str_mv 2019-08-07
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/11336/124410
Majtey, Ana Paula; Valdés Hernández, Andrea; Maglione, Cesar German; Plastino, Ángel Ricardo; Entropic characterization of quantum states with maximal evolution under given energy constraints; Molecular Diversity Preservation International; Entropy; 21; 8; 7-8-2019; 1-17; 770
1099-4300
CONICET Digital
CONICET
url http://hdl.handle.net/11336/124410
identifier_str_mv Majtey, Ana Paula; Valdés Hernández, Andrea; Maglione, Cesar German; Plastino, Ángel Ricardo; Entropic characterization of quantum states with maximal evolution under given energy constraints; Molecular Diversity Preservation International; Entropy; 21; 8; 7-8-2019; 1-17; 770
1099-4300
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/1099-4300/21/8/770
info:eu-repo/semantics/altIdentifier/doi/10.3390/e21080770
info:eu-repo/semantics/altIdentifier/url/https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7515300/
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Molecular Diversity Preservation International
publisher.none.fl_str_mv Molecular Diversity Preservation International
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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