Some entanglement features exhibited by two, three and four qubits interacting with an environment in a non-Markovian regime

Autores
Hamadou Ibrahim, A.; Plastino, Ángel Ricardo; Zander, C.
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We explore various aspects of the quantum entanglement dynamics of systems of two, three and four qubits interacting with an environment at zero temperature in a non-Markovian regime, as described by the paradigmatic model recently studied by Bellomo et al (2007 Phys. Rev. Lett. 99 160502). We consider important families of initial states for the alluded systems. The average, typical entanglement evolution associated with each of these families is determined, and its relation with the evolution of the global degree of mixedness of the multi-qubit system is explored. For three and four qubits we consider the family of initial states equivalent under local unitary transformations to the |GHZ〉 and |W〉 states, and compare their average behavior with the average behavior exhibited by initial maximally entangled two-qubit states. Furthermore, in the case of two qubits, the evolution of other manifestations of entanglement, related to measurable quantities, is also investigated. In particular, we consider the Mintert-Buchleitner concurrence lower bound and an entanglement indicator based upon the violation of local uncertainty relations.
Fil: Hamadou Ibrahim, A.. University of Pretoria; Sudáfrica
Fil: Plastino, Ángel Ricardo. Universidad de Granada; España. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Fil: Zander, C.. University of Pretoria; Sudáfrica
Materia
ENTANGLEMENT DYNAMICS
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:11336/193030

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spelling Some entanglement features exhibited by two, three and four qubits interacting with an environment in a non-Markovian regimeHamadou Ibrahim, A.Plastino, Ángel RicardoZander, C.ENTANGLEMENT DYNAMICSNON-MARKOVIAN DYNAMICShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We explore various aspects of the quantum entanglement dynamics of systems of two, three and four qubits interacting with an environment at zero temperature in a non-Markovian regime, as described by the paradigmatic model recently studied by Bellomo et al (2007 Phys. Rev. Lett. 99 160502). We consider important families of initial states for the alluded systems. The average, typical entanglement evolution associated with each of these families is determined, and its relation with the evolution of the global degree of mixedness of the multi-qubit system is explored. For three and four qubits we consider the family of initial states equivalent under local unitary transformations to the |GHZ〉 and |W〉 states, and compare their average behavior with the average behavior exhibited by initial maximally entangled two-qubit states. Furthermore, in the case of two qubits, the evolution of other manifestations of entanglement, related to measurable quantities, is also investigated. In particular, we consider the Mintert-Buchleitner concurrence lower bound and an entanglement indicator based upon the violation of local uncertainty relations.Fil: Hamadou Ibrahim, A.. University of Pretoria; SudáfricaFil: Plastino, Ángel Ricardo. Universidad de Granada; España. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; ArgentinaFil: Zander, C.. University of Pretoria; SudáfricaIOP Publishing2010-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/193030Hamadou Ibrahim, A.; Plastino, Ángel Ricardo; Zander, C.; Some entanglement features exhibited by two, three and four qubits interacting with an environment in a non-Markovian regime; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 43; 5; 1-2010; 55305-55305181751-8113CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1751-8113/43/5/055305info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/43/5/055305info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:39:56Zoai:ri.conicet.gov.ar:11336/193030instacron: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 09:39:56.308CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Some entanglement features exhibited by two, three and four qubits interacting with an environment in a non-Markovian regime
title Some entanglement features exhibited by two, three and four qubits interacting with an environment in a non-Markovian regime
spellingShingle Some entanglement features exhibited by two, three and four qubits interacting with an environment in a non-Markovian regime
Hamadou Ibrahim, A.
ENTANGLEMENT DYNAMICS
NON-MARKOVIAN DYNAMICS
title_short Some entanglement features exhibited by two, three and four qubits interacting with an environment in a non-Markovian regime
title_full Some entanglement features exhibited by two, three and four qubits interacting with an environment in a non-Markovian regime
title_fullStr Some entanglement features exhibited by two, three and four qubits interacting with an environment in a non-Markovian regime
title_full_unstemmed Some entanglement features exhibited by two, three and four qubits interacting with an environment in a non-Markovian regime
title_sort Some entanglement features exhibited by two, three and four qubits interacting with an environment in a non-Markovian regime
dc.creator.none.fl_str_mv Hamadou Ibrahim, A.
Plastino, Ángel Ricardo
Zander, C.
author Hamadou Ibrahim, A.
author_facet Hamadou Ibrahim, A.
Plastino, Ángel Ricardo
Zander, C.
author_role author
author2 Plastino, Ángel Ricardo
Zander, C.
author2_role author
author
dc.subject.none.fl_str_mv ENTANGLEMENT DYNAMICS
NON-MARKOVIAN DYNAMICS
topic ENTANGLEMENT DYNAMICS
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 explore various aspects of the quantum entanglement dynamics of systems of two, three and four qubits interacting with an environment at zero temperature in a non-Markovian regime, as described by the paradigmatic model recently studied by Bellomo et al (2007 Phys. Rev. Lett. 99 160502). We consider important families of initial states for the alluded systems. The average, typical entanglement evolution associated with each of these families is determined, and its relation with the evolution of the global degree of mixedness of the multi-qubit system is explored. For three and four qubits we consider the family of initial states equivalent under local unitary transformations to the |GHZ〉 and |W〉 states, and compare their average behavior with the average behavior exhibited by initial maximally entangled two-qubit states. Furthermore, in the case of two qubits, the evolution of other manifestations of entanglement, related to measurable quantities, is also investigated. In particular, we consider the Mintert-Buchleitner concurrence lower bound and an entanglement indicator based upon the violation of local uncertainty relations.
Fil: Hamadou Ibrahim, A.. University of Pretoria; Sudáfrica
Fil: Plastino, Ángel Ricardo. Universidad de Granada; España. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Fil: Zander, C.. University of Pretoria; Sudáfrica
description We explore various aspects of the quantum entanglement dynamics of systems of two, three and four qubits interacting with an environment at zero temperature in a non-Markovian regime, as described by the paradigmatic model recently studied by Bellomo et al (2007 Phys. Rev. Lett. 99 160502). We consider important families of initial states for the alluded systems. The average, typical entanglement evolution associated with each of these families is determined, and its relation with the evolution of the global degree of mixedness of the multi-qubit system is explored. For three and four qubits we consider the family of initial states equivalent under local unitary transformations to the |GHZ〉 and |W〉 states, and compare their average behavior with the average behavior exhibited by initial maximally entangled two-qubit states. Furthermore, in the case of two qubits, the evolution of other manifestations of entanglement, related to measurable quantities, is also investigated. In particular, we consider the Mintert-Buchleitner concurrence lower bound and an entanglement indicator based upon the violation of local uncertainty relations.
publishDate 2010
dc.date.none.fl_str_mv 2010-01
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/11336/193030
Hamadou Ibrahim, A.; Plastino, Ángel Ricardo; Zander, C.; Some entanglement features exhibited by two, three and four qubits interacting with an environment in a non-Markovian regime; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 43; 5; 1-2010; 55305-5530518
1751-8113
CONICET Digital
CONICET
url http://hdl.handle.net/11336/193030
identifier_str_mv Hamadou Ibrahim, A.; Plastino, Ángel Ricardo; Zander, C.; Some entanglement features exhibited by two, three and four qubits interacting with an environment in a non-Markovian regime; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 43; 5; 1-2010; 55305-5530518
1751-8113
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://iopscience.iop.org/article/10.1088/1751-8113/43/5/055305
info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/43/5/055305
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 IOP Publishing
publisher.none.fl_str_mv IOP Publishing
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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