Typical Behavior of the Global Entanglement of an Open Multiqubit System in a Non-Markovian Regimen

Autores
Majtey, A. P.; Plastino, Ángel Ricardo
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We investigate the decay of the global entanglement, due to decoherence, of multiqubit systems interacting with a reservoir in a non-Markovian regime. We assume that during the decoherence process each qubit of the system interacts with its own, independent environment. Most previous works on this problem focused on particular initial states or families of initial states amenable of analytical treatment. Here we determine numerically the typical, average behavior of the system corresponding to random initial pure states uniformly distributed (in the whole Hilbert space of n-qubit pure states) according to the Haar measure. We study systems consisting of 3, 4, 5, and 6 qubits. In each case we consider also the entanglement dynamics corresponding to important particular initial states, such as the GHZ states or multiqubit states maximizing the global entanglement, and determine in which cases any of these states is representative of the average behavior associated with general initial states.
Fil: Majtey, A. P.. Universidad de Granada; España
Fil: Plastino, Ángel Ricardo. Universidad Nacional de La Plata; Argentina. Universidad de Granada; España. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Materia
DECOHERENCE
ENTANGLEMENT
NON-MARKOVIAN DYNAMICS
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:11336/193536

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spelling Typical Behavior of the Global Entanglement of an Open Multiqubit System in a Non-Markovian RegimenMajtey, A. P.Plastino, Ángel RicardoDECOHERENCEENTANGLEMENTNON-MARKOVIAN DYNAMICShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We investigate the decay of the global entanglement, due to decoherence, of multiqubit systems interacting with a reservoir in a non-Markovian regime. We assume that during the decoherence process each qubit of the system interacts with its own, independent environment. Most previous works on this problem focused on particular initial states or families of initial states amenable of analytical treatment. Here we determine numerically the typical, average behavior of the system corresponding to random initial pure states uniformly distributed (in the whole Hilbert space of n-qubit pure states) according to the Haar measure. We study systems consisting of 3, 4, 5, and 6 qubits. In each case we consider also the entanglement dynamics corresponding to important particular initial states, such as the GHZ states or multiqubit states maximizing the global entanglement, and determine in which cases any of these states is representative of the average behavior associated with general initial states.Fil: Majtey, A. P.. Universidad de Granada; EspañaFil: Plastino, Ángel Ricardo. Universidad Nacional de La Plata; Argentina. Universidad de Granada; España. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; ArgentinaWorld Scientific2012-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/193536Majtey, A. P.; Plastino, Ángel Ricardo; Typical Behavior of the Global Entanglement of an Open Multiqubit System in a Non-Markovian Regimen; World Scientific; International Journal Of Quantum Information; 10; 6; 10-2012; 1250063-12500780219-7499CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.worldscientific.com/doi/abs/10.1142/S0219749912500633info:eu-repo/semantics/altIdentifier/doi/10.1142/S0219749912500633info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:41:27Zoai:ri.conicet.gov.ar:11336/193536instacron: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 10:41:27.572CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Typical Behavior of the Global Entanglement of an Open Multiqubit System in a Non-Markovian Regimen
title Typical Behavior of the Global Entanglement of an Open Multiqubit System in a Non-Markovian Regimen
spellingShingle Typical Behavior of the Global Entanglement of an Open Multiqubit System in a Non-Markovian Regimen
Majtey, A. P.
DECOHERENCE
ENTANGLEMENT
NON-MARKOVIAN DYNAMICS
title_short Typical Behavior of the Global Entanglement of an Open Multiqubit System in a Non-Markovian Regimen
title_full Typical Behavior of the Global Entanglement of an Open Multiqubit System in a Non-Markovian Regimen
title_fullStr Typical Behavior of the Global Entanglement of an Open Multiqubit System in a Non-Markovian Regimen
title_full_unstemmed Typical Behavior of the Global Entanglement of an Open Multiqubit System in a Non-Markovian Regimen
title_sort Typical Behavior of the Global Entanglement of an Open Multiqubit System in a Non-Markovian Regimen
dc.creator.none.fl_str_mv Majtey, A. P.
Plastino, Ángel Ricardo
author Majtey, A. P.
author_facet Majtey, A. P.
Plastino, Ángel Ricardo
author_role author
author2 Plastino, Ángel Ricardo
author2_role author
dc.subject.none.fl_str_mv DECOHERENCE
ENTANGLEMENT
NON-MARKOVIAN DYNAMICS
topic DECOHERENCE
ENTANGLEMENT
NON-MARKOVIAN DYNAMICS
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 investigate the decay of the global entanglement, due to decoherence, of multiqubit systems interacting with a reservoir in a non-Markovian regime. We assume that during the decoherence process each qubit of the system interacts with its own, independent environment. Most previous works on this problem focused on particular initial states or families of initial states amenable of analytical treatment. Here we determine numerically the typical, average behavior of the system corresponding to random initial pure states uniformly distributed (in the whole Hilbert space of n-qubit pure states) according to the Haar measure. We study systems consisting of 3, 4, 5, and 6 qubits. In each case we consider also the entanglement dynamics corresponding to important particular initial states, such as the GHZ states or multiqubit states maximizing the global entanglement, and determine in which cases any of these states is representative of the average behavior associated with general initial states.
Fil: Majtey, A. P.. Universidad de Granada; España
Fil: Plastino, Ángel Ricardo. Universidad Nacional de La Plata; Argentina. Universidad de Granada; España. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
description We investigate the decay of the global entanglement, due to decoherence, of multiqubit systems interacting with a reservoir in a non-Markovian regime. We assume that during the decoherence process each qubit of the system interacts with its own, independent environment. Most previous works on this problem focused on particular initial states or families of initial states amenable of analytical treatment. Here we determine numerically the typical, average behavior of the system corresponding to random initial pure states uniformly distributed (in the whole Hilbert space of n-qubit pure states) according to the Haar measure. We study systems consisting of 3, 4, 5, and 6 qubits. In each case we consider also the entanglement dynamics corresponding to important particular initial states, such as the GHZ states or multiqubit states maximizing the global entanglement, and determine in which cases any of these states is representative of the average behavior associated with general initial states.
publishDate 2012
dc.date.none.fl_str_mv 2012-10
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/11336/193536
Majtey, A. P.; Plastino, Ángel Ricardo; Typical Behavior of the Global Entanglement of an Open Multiqubit System in a Non-Markovian Regimen; World Scientific; International Journal Of Quantum Information; 10; 6; 10-2012; 1250063-1250078
0219-7499
CONICET Digital
CONICET
url http://hdl.handle.net/11336/193536
identifier_str_mv Majtey, A. P.; Plastino, Ángel Ricardo; Typical Behavior of the Global Entanglement of an Open Multiqubit System in a Non-Markovian Regimen; World Scientific; International Journal Of Quantum Information; 10; 6; 10-2012; 1250063-1250078
0219-7499
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.worldscientific.com/doi/abs/10.1142/S0219749912500633
info:eu-repo/semantics/altIdentifier/doi/10.1142/S0219749912500633
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 World Scientific
publisher.none.fl_str_mv World Scientific
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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