Hermite Gaussian model for quantum states

Autores
Losada, Marcelo Adrián; Gomez, Ignacio Sebastián; Holik, Federico Hernán
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In order to characterize quantum states within the context of information geometry, we propose a generalization of the Gaussian model, which we called the Hermite-Gaussian model. We obtain the Fisher-Rao metric and the scalar curvature for this model, and we show its relation with the one-dimensional quantum harmonic oscillator. Using this model we characterize some families of states of the quantum harmonic oscillator. We find that for eigenstates of theHamiltonian, mixtures of eigenstates and even or odd superpositions of eigenstates, the associated Fisher-Rao metrics -which are relevant in the context of quantum parameter estimation theory- are diagonal. Finally, we consider the action of the amplitude damping channel and discuss the relationship between the quantum decay and the different geometric indicators.
Fil: Losada, Marcelo Adrián. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Gomez, Ignacio Sebastián. Universidade Federal da Bahia; Brasil. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Holik, Federico Hernán. 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
Materia
FISHER-RAO METRIC
STATISTICAL MODELS
GAUSSIAN MODEL
HERMITE-GAUSSIAN MODEL
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:11336/143364
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/143364
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Hermite Gaussian model for quantum statesLosada, Marcelo AdriánGomez, Ignacio SebastiánHolik, Federico HernánFISHER-RAO METRICSTATISTICAL MODELSGAUSSIAN MODELHERMITE-GAUSSIAN MODELhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In order to characterize quantum states within the context of information geometry, we propose a generalization of the Gaussian model, which we called the Hermite-Gaussian model. We obtain the Fisher-Rao metric and the scalar curvature for this model, and we show its relation with the one-dimensional quantum harmonic oscillator. Using this model we characterize some families of states of the quantum harmonic oscillator. We find that for eigenstates of theHamiltonian, mixtures of eigenstates and even or odd superpositions of eigenstates, the associated Fisher-Rao metrics -which are relevant in the context of quantum parameter estimation theory- are diagonal. Finally, we consider the action of the amplitude damping channel and discuss the relationship between the quantum decay and the different geometric indicators.Fil: Losada, Marcelo Adrián. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Gomez, Ignacio Sebastián. Universidade Federal da Bahia; Brasil. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Holik, Federico Hernán. 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; ArgentinaElsevier Science2019-10-15info: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/11336/143364Losada, Marcelo Adrián; Gomez, Ignacio Sebastián; Holik, Federico Hernán; Hermite Gaussian model for quantum states; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 532; 121806; 15-10-2019; 1-140378-4371CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0378437119310647info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2019.121806info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:55:28Zoai:ri.conicet.gov.ar:11336/143364instacron: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 09:55:28.538CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Hermite Gaussian model for quantum states
title Hermite Gaussian model for quantum states
spellingShingle Hermite Gaussian model for quantum states
Losada, Marcelo Adrián
FISHER-RAO METRIC
STATISTICAL MODELS
GAUSSIAN MODEL
HERMITE-GAUSSIAN MODEL
title_short Hermite Gaussian model for quantum states
title_full Hermite Gaussian model for quantum states
title_fullStr Hermite Gaussian model for quantum states
title_full_unstemmed Hermite Gaussian model for quantum states
title_sort Hermite Gaussian model for quantum states
dc.creator.none.fl_str_mv Losada, Marcelo Adrián
Gomez, Ignacio Sebastián
Holik, Federico Hernán
author Losada, Marcelo Adrián
author_facet Losada, Marcelo Adrián
Gomez, Ignacio Sebastián
Holik, Federico Hernán
author_role author
author2 Gomez, Ignacio Sebastián
Holik, Federico Hernán
author2_role author
author
dc.subject.none.fl_str_mv FISHER-RAO METRIC
STATISTICAL MODELS
GAUSSIAN MODEL
HERMITE-GAUSSIAN MODEL
topic FISHER-RAO METRIC
STATISTICAL MODELS
GAUSSIAN MODEL
HERMITE-GAUSSIAN MODEL
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 order to characterize quantum states within the context of information geometry, we propose a generalization of the Gaussian model, which we called the Hermite-Gaussian model. We obtain the Fisher-Rao metric and the scalar curvature for this model, and we show its relation with the one-dimensional quantum harmonic oscillator. Using this model we characterize some families of states of the quantum harmonic oscillator. We find that for eigenstates of theHamiltonian, mixtures of eigenstates and even or odd superpositions of eigenstates, the associated Fisher-Rao metrics -which are relevant in the context of quantum parameter estimation theory- are diagonal. Finally, we consider the action of the amplitude damping channel and discuss the relationship between the quantum decay and the different geometric indicators.
Fil: Losada, Marcelo Adrián. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Gomez, Ignacio Sebastián. Universidade Federal da Bahia; Brasil. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Holik, Federico Hernán. 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
description In order to characterize quantum states within the context of information geometry, we propose a generalization of the Gaussian model, which we called the Hermite-Gaussian model. We obtain the Fisher-Rao metric and the scalar curvature for this model, and we show its relation with the one-dimensional quantum harmonic oscillator. Using this model we characterize some families of states of the quantum harmonic oscillator. We find that for eigenstates of theHamiltonian, mixtures of eigenstates and even or odd superpositions of eigenstates, the associated Fisher-Rao metrics -which are relevant in the context of quantum parameter estimation theory- are diagonal. Finally, we consider the action of the amplitude damping channel and discuss the relationship between the quantum decay and the different geometric indicators.
publishDate 2019
dc.date.none.fl_str_mv 2019-10-15
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/11336/143364
Losada, Marcelo Adrián; Gomez, Ignacio Sebastián; Holik, Federico Hernán; Hermite Gaussian model for quantum states; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 532; 121806; 15-10-2019; 1-14
0378-4371
CONICET Digital
CONICET
url http://hdl.handle.net/11336/143364
identifier_str_mv Losada, Marcelo Adrián; Gomez, Ignacio Sebastián; Holik, Federico Hernán; Hermite Gaussian model for quantum states; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 532; 121806; 15-10-2019; 1-14
0378-4371
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.sciencedirect.com/science/article/pii/S0378437119310647
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2019.121806
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 Elsevier Science
publisher.none.fl_str_mv Elsevier Science
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 13.070432

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