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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/263194
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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 Técnicas2025-09-29T10:26:44Zoai: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:34982025-09-29 10:26:44.485CONICET 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 |
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CONICET Digital (CONICET) |
collection |
CONICET Digital (CONICET) |
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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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13.070432 |