Bipartite representations and many-body entanglement of pure states of N indistinguishable particles

Autores
Cianciulli, Juan Agustin; Rossignoli, Raúl Dante; Di Tullio, Marco; Gigena, Nicolás Alejandro; Petrovich, Federico
Año de publicación
2024
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We analyze a general bipartite-like representation of arbitrary pure states of N indistinguishable particles, valid for both bosons and fermions, based on and N-M particle states. It leads to exact (M, N-M) Schmidt-like expansions of the state for any M and is directly related to the isospectral reduced M and (N-M) body density matrices and . The formalism also allows for reduced yet still exact Schmidt-like decompositions associated with blocks of these densities, in systems having a fixed fraction of the particles in some single particle subspace. Monotonicity of the ensuing M-body entanglement under a certain set of quantum operations is also discussed. Illustrative examples in fermionic and bosonic systems with pairing correlations are provided, which show that in the presence of dominant eigenvalues in , approximations based on a few terms of the pertinent Schmidt expansion can provide a reliable description of the state. The associated one- and two-body entanglement spectrum and entropies are also analyzed.
Fil: Cianciulli, Juan Agustin. 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
Fil: Rossignoli, Raúl Dante. 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
Fil: Di Tullio, Marco. 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
Fil: Gigena, Nicolás Alejandro. 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
Fil: Petrovich, Federico. 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
Quantum entanglement
Quantum many-body systems
Quantum information theory
Quantum M-body density matrix
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:11336/263194
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/263194
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Bipartite representations and many-body entanglement of pure states of N indistinguishable particlesCianciulli, Juan AgustinRossignoli, Raúl DanteDi Tullio, MarcoGigena, Nicolás AlejandroPetrovich, FedericoQuantum entanglementQuantum many-body systemsQuantum information theoryQuantum M-body density matrixhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We analyze a general bipartite-like representation of arbitrary pure states of N indistinguishable particles, valid for both bosons and fermions, based on and N-M particle states. It leads to exact (M, N-M) Schmidt-like expansions of the state for any M and is directly related to the isospectral reduced M and (N-M) body density matrices and . The formalism also allows for reduced yet still exact Schmidt-like decompositions associated with blocks of these densities, in systems having a fixed fraction of the particles in some single particle subspace. Monotonicity of the ensuing M-body entanglement under a certain set of quantum operations is also discussed. Illustrative examples in fermionic and bosonic systems with pairing correlations are provided, which show that in the presence of dominant eigenvalues in , approximations based on a few terms of the pertinent Schmidt expansion can provide a reliable description of the state. The associated one- and two-body entanglement spectrum and entropies are also analyzed.Fil: Cianciulli, Juan Agustin. 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; ArgentinaFil: Rossignoli, Raúl Dante. 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; ArgentinaFil: Di Tullio, Marco. 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; ArgentinaFil: Gigena, Nicolás Alejandro. 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; ArgentinaFil: Petrovich, Federico. 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; ArgentinaAmerican Physical Society2024-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/263194Cianciulli, Juan Agustin; Rossignoli, Raúl Dante; Di Tullio, Marco; Gigena, Nicolás Alejandro; Petrovich, Federico; Bipartite representations and many-body entanglement of pure states of N indistinguishable particles; American Physical Society; Physical Review A; 110; 3; 9-2024; 1-182469-99262469-9934CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.aps.org/doi/10.1103/PhysRevA.110.032414info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.110.032414info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:23:46Zoai:ri.conicet.gov.ar:11336/263194instacron: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:34982025-10-15 15:23:46.482CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Bipartite representations and many-body entanglement of pure states of N indistinguishable particles
title Bipartite representations and many-body entanglement of pure states of N indistinguishable particles
spellingShingle Bipartite representations and many-body entanglement of pure states of N indistinguishable particles
Cianciulli, Juan Agustin
Quantum entanglement
Quantum many-body systems
Quantum information theory
Quantum M-body density matrix
title_short Bipartite representations and many-body entanglement of pure states of N indistinguishable particles
title_full Bipartite representations and many-body entanglement of pure states of N indistinguishable particles
title_fullStr Bipartite representations and many-body entanglement of pure states of N indistinguishable particles
title_full_unstemmed Bipartite representations and many-body entanglement of pure states of N indistinguishable particles
title_sort Bipartite representations and many-body entanglement of pure states of N indistinguishable particles
dc.creator.none.fl_str_mv Cianciulli, Juan Agustin
Rossignoli, Raúl Dante
Di Tullio, Marco
Gigena, Nicolás Alejandro
Petrovich, Federico
author Cianciulli, Juan Agustin
author_facet Cianciulli, Juan Agustin
Rossignoli, Raúl Dante
Di Tullio, Marco
Gigena, Nicolás Alejandro
Petrovich, Federico
author_role author
author2 Rossignoli, Raúl Dante
Di Tullio, Marco
Gigena, Nicolás Alejandro
Petrovich, Federico
author2_role author
author
author
author
dc.subject.none.fl_str_mv Quantum entanglement
Quantum many-body systems
Quantum information theory
Quantum M-body density matrix
topic Quantum entanglement
Quantum many-body systems
Quantum information theory
Quantum M-body density matrix
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 analyze a general bipartite-like representation of arbitrary pure states of N indistinguishable particles, valid for both bosons and fermions, based on and N-M particle states. It leads to exact (M, N-M) Schmidt-like expansions of the state for any M and is directly related to the isospectral reduced M and (N-M) body density matrices and . The formalism also allows for reduced yet still exact Schmidt-like decompositions associated with blocks of these densities, in systems having a fixed fraction of the particles in some single particle subspace. Monotonicity of the ensuing M-body entanglement under a certain set of quantum operations is also discussed. Illustrative examples in fermionic and bosonic systems with pairing correlations are provided, which show that in the presence of dominant eigenvalues in , approximations based on a few terms of the pertinent Schmidt expansion can provide a reliable description of the state. The associated one- and two-body entanglement spectrum and entropies are also analyzed.
Fil: Cianciulli, Juan Agustin. 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
Fil: Rossignoli, Raúl Dante. 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
Fil: Di Tullio, Marco. 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
Fil: Gigena, Nicolás Alejandro. 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
Fil: Petrovich, Federico. 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 We analyze a general bipartite-like representation of arbitrary pure states of N indistinguishable particles, valid for both bosons and fermions, based on and N-M particle states. It leads to exact (M, N-M) Schmidt-like expansions of the state for any M and is directly related to the isospectral reduced M and (N-M) body density matrices and . The formalism also allows for reduced yet still exact Schmidt-like decompositions associated with blocks of these densities, in systems having a fixed fraction of the particles in some single particle subspace. Monotonicity of the ensuing M-body entanglement under a certain set of quantum operations is also discussed. Illustrative examples in fermionic and bosonic systems with pairing correlations are provided, which show that in the presence of dominant eigenvalues in , approximations based on a few terms of the pertinent Schmidt expansion can provide a reliable description of the state. The associated one- and two-body entanglement spectrum and entropies are also analyzed.
publishDate 2024
dc.date.none.fl_str_mv 2024-09
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/11336/263194
Cianciulli, Juan Agustin; Rossignoli, Raúl Dante; Di Tullio, Marco; Gigena, Nicolás Alejandro; Petrovich, Federico; Bipartite representations and many-body entanglement of pure states of N indistinguishable particles; American Physical Society; Physical Review A; 110; 3; 9-2024; 1-18
2469-9926
2469-9934
CONICET Digital
CONICET
url http://hdl.handle.net/11336/263194
identifier_str_mv Cianciulli, Juan Agustin; Rossignoli, Raúl Dante; Di Tullio, Marco; Gigena, Nicolás Alejandro; Petrovich, Federico; Bipartite representations and many-body entanglement of pure states of N indistinguishable particles; American Physical Society; Physical Review A; 110; 3; 9-2024; 1-18
2469-9926
2469-9934
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://link.aps.org/doi/10.1103/PhysRevA.110.032414
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.110.032414
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
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
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
_version_ 1846083384821940224
score 13.22299

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