Entanglement generation through particle detection in systems of identical fermions

Autores
Bouvrie, P. A.; Valdés Hernández, A.; Majtey, Ana Paula; Zander, C.; Plastino, Ángel Ricardo
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We investigate the generation of entanglement in systems of identical fermions through a process involving particle detection, focusing on the implications that these kindsof processes have for the concept of entanglement between fermionic particles. As a paradigmatic example we discuss in detail a scheme based on a splitting-plus-detection operation. The aim of this scheme is to generate states with a definite number of particles at two separated locations, that can effectively be described as entangled states of two distinguishable qubits, starting from an initial pure state of two indistinguishable fermions exhibiting correlations purely due to antisymmetrization. It is argued that the proposed extraction of a useful entanglement-based resource, given by two distinguishable qubits entangled in the standard sense, does not contravene the notion of entanglement in identical-fermion systems as describing correlations beyond those purely due to their indistinguishability. In point of fact, it is shown that this concept of entanglement, here referred to as fermionic entanglement, actually helps to clarify some essential aspects of the entanglement generation process. In particular, we prove that the amount of entanglement exhibited by the above mentioned pair of distinguishable qubits, obtained after post-selection of a state having a definite number of particles in two separated locations, equals the amount of fermionic entanglement created by this detection process. The aforementioned scheme is generalized for the case of N-identical fermion systems of arbitrary dimension. It transpires from our present discussion that a proper analysis of entanglement generation during the splitting-plus-detection operation is not only consistent with the concept of fermionic entanglement, but actually reinforces it.
Fil: Bouvrie, P. A.. Centro Brasileiro de Pesquisas Físicas; Brasil
Fil: Valdés Hernández, A.. Universidad Nacional Autónoma de México; México
Fil: Majtey, Ana Paula. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Zander, C.. University of Pretoria; Sudáfrica
Fil: Plastino, Ángel Ricardo. Universidad Nacional del Noroeste de la Provincia de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
FERMIONS
IDENTICAL PARTICLES
QUANTUM ENTANGLEMENT
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/75296
Acceder
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spelling Entanglement generation through particle detection in systems of identical fermionsBouvrie, P. A.Valdés Hernández, A.Majtey, Ana PaulaZander, C.Plastino, Ángel RicardoFERMIONSIDENTICAL PARTICLESQUANTUM ENTANGLEMENThttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We investigate the generation of entanglement in systems of identical fermions through a process involving particle detection, focusing on the implications that these kindsof processes have for the concept of entanglement between fermionic particles. As a paradigmatic example we discuss in detail a scheme based on a splitting-plus-detection operation. The aim of this scheme is to generate states with a definite number of particles at two separated locations, that can effectively be described as entangled states of two distinguishable qubits, starting from an initial pure state of two indistinguishable fermions exhibiting correlations purely due to antisymmetrization. It is argued that the proposed extraction of a useful entanglement-based resource, given by two distinguishable qubits entangled in the standard sense, does not contravene the notion of entanglement in identical-fermion systems as describing correlations beyond those purely due to their indistinguishability. In point of fact, it is shown that this concept of entanglement, here referred to as fermionic entanglement, actually helps to clarify some essential aspects of the entanglement generation process. In particular, we prove that the amount of entanglement exhibited by the above mentioned pair of distinguishable qubits, obtained after post-selection of a state having a definite number of particles in two separated locations, equals the amount of fermionic entanglement created by this detection process. The aforementioned scheme is generalized for the case of N-identical fermion systems of arbitrary dimension. It transpires from our present discussion that a proper analysis of entanglement generation during the splitting-plus-detection operation is not only consistent with the concept of fermionic entanglement, but actually reinforces it.Fil: Bouvrie, P. A.. Centro Brasileiro de Pesquisas Físicas; BrasilFil: Valdés Hernández, A.. Universidad Nacional Autónoma de México; MéxicoFil: Majtey, Ana Paula. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Zander, C.. University of Pretoria; SudáfricaFil: Plastino, Ángel Ricardo. Universidad Nacional del Noroeste de la Provincia de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaAcademic Press Inc Elsevier Science2017-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/75296Bouvrie, P. A.; Valdés Hernández, A.; Majtey, Ana Paula; Zander, C.; Plastino, Ángel Ricardo; Entanglement generation through particle detection in systems of identical fermions; Academic Press Inc Elsevier Science; Annals of Physics (New York); 383; 8-2017; 401-4150003-4916CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.aop.2017.06.004info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0003491617301707info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1608.03456info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:09:44Zoai:ri.conicet.gov.ar:11336/75296instacron: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:34982025-09-03 10:09:44.974CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Entanglement generation through particle detection in systems of identical fermions
title Entanglement generation through particle detection in systems of identical fermions
spellingShingle Entanglement generation through particle detection in systems of identical fermions
Bouvrie, P. A.
FERMIONS
IDENTICAL PARTICLES
QUANTUM ENTANGLEMENT
title_short Entanglement generation through particle detection in systems of identical fermions
title_full Entanglement generation through particle detection in systems of identical fermions
title_fullStr Entanglement generation through particle detection in systems of identical fermions
title_full_unstemmed Entanglement generation through particle detection in systems of identical fermions
title_sort Entanglement generation through particle detection in systems of identical fermions
dc.creator.none.fl_str_mv Bouvrie, P. A.
Valdés Hernández, A.
Majtey, Ana Paula
Zander, C.
Plastino, Ángel Ricardo
author Bouvrie, P. A.
author_facet Bouvrie, P. A.
Valdés Hernández, A.
Majtey, Ana Paula
Zander, C.
Plastino, Ángel Ricardo
author_role author
author2 Valdés Hernández, A.
Majtey, Ana Paula
Zander, C.
Plastino, Ángel Ricardo
author2_role author
author
author
author
dc.subject.none.fl_str_mv FERMIONS
IDENTICAL PARTICLES
QUANTUM ENTANGLEMENT
topic FERMIONS
IDENTICAL PARTICLES
QUANTUM ENTANGLEMENT
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 generation of entanglement in systems of identical fermions through a process involving particle detection, focusing on the implications that these kindsof processes have for the concept of entanglement between fermionic particles. As a paradigmatic example we discuss in detail a scheme based on a splitting-plus-detection operation. The aim of this scheme is to generate states with a definite number of particles at two separated locations, that can effectively be described as entangled states of two distinguishable qubits, starting from an initial pure state of two indistinguishable fermions exhibiting correlations purely due to antisymmetrization. It is argued that the proposed extraction of a useful entanglement-based resource, given by two distinguishable qubits entangled in the standard sense, does not contravene the notion of entanglement in identical-fermion systems as describing correlations beyond those purely due to their indistinguishability. In point of fact, it is shown that this concept of entanglement, here referred to as fermionic entanglement, actually helps to clarify some essential aspects of the entanglement generation process. In particular, we prove that the amount of entanglement exhibited by the above mentioned pair of distinguishable qubits, obtained after post-selection of a state having a definite number of particles in two separated locations, equals the amount of fermionic entanglement created by this detection process. The aforementioned scheme is generalized for the case of N-identical fermion systems of arbitrary dimension. It transpires from our present discussion that a proper analysis of entanglement generation during the splitting-plus-detection operation is not only consistent with the concept of fermionic entanglement, but actually reinforces it.
Fil: Bouvrie, P. A.. Centro Brasileiro de Pesquisas Físicas; Brasil
Fil: Valdés Hernández, A.. Universidad Nacional Autónoma de México; México
Fil: Majtey, Ana Paula. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Zander, C.. University of Pretoria; Sudáfrica
Fil: Plastino, Ángel Ricardo. Universidad Nacional del Noroeste de la Provincia de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description We investigate the generation of entanglement in systems of identical fermions through a process involving particle detection, focusing on the implications that these kindsof processes have for the concept of entanglement between fermionic particles. As a paradigmatic example we discuss in detail a scheme based on a splitting-plus-detection operation. The aim of this scheme is to generate states with a definite number of particles at two separated locations, that can effectively be described as entangled states of two distinguishable qubits, starting from an initial pure state of two indistinguishable fermions exhibiting correlations purely due to antisymmetrization. It is argued that the proposed extraction of a useful entanglement-based resource, given by two distinguishable qubits entangled in the standard sense, does not contravene the notion of entanglement in identical-fermion systems as describing correlations beyond those purely due to their indistinguishability. In point of fact, it is shown that this concept of entanglement, here referred to as fermionic entanglement, actually helps to clarify some essential aspects of the entanglement generation process. In particular, we prove that the amount of entanglement exhibited by the above mentioned pair of distinguishable qubits, obtained after post-selection of a state having a definite number of particles in two separated locations, equals the amount of fermionic entanglement created by this detection process. The aforementioned scheme is generalized for the case of N-identical fermion systems of arbitrary dimension. It transpires from our present discussion that a proper analysis of entanglement generation during the splitting-plus-detection operation is not only consistent with the concept of fermionic entanglement, but actually reinforces it.
publishDate 2017
dc.date.none.fl_str_mv 2017-08
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/11336/75296
Bouvrie, P. A.; Valdés Hernández, A.; Majtey, Ana Paula; Zander, C.; Plastino, Ángel Ricardo; Entanglement generation through particle detection in systems of identical fermions; Academic Press Inc Elsevier Science; Annals of Physics (New York); 383; 8-2017; 401-415
0003-4916
CONICET Digital
CONICET
url http://hdl.handle.net/11336/75296
identifier_str_mv Bouvrie, P. A.; Valdés Hernández, A.; Majtey, Ana Paula; Zander, C.; Plastino, Ángel Ricardo; Entanglement generation through particle detection in systems of identical fermions; Academic Press Inc Elsevier Science; Annals of Physics (New York); 383; 8-2017; 401-415
0003-4916
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.aop.2017.06.004
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0003491617301707
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1608.03456
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Academic Press Inc Elsevier Science
publisher.none.fl_str_mv Academic Press Inc 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 13.13397

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