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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/193030
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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/ |
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application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
IOP Publishing |
publisher.none.fl_str_mv |
IOP Publishing |
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reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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