Entanglement and area laws in weakly correlated Gaussian states

Autores
Matera, Juan Mauricio; Rossignoli, Raúl Dante; Canosa, Norma Beatriz
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We examine the evaluation of entanglement measures in weakly correlated Gaussian states. It is shown that they can be expressed in terms of the singular values of a particular block of the generalized contraction matrix. This result enables us to obtain in a simple way asymptotic expressions and related area laws for the entanglement entropy of bipartitions in pure states, as well as for the logarithmic negativity associated with bipartitions and also with pairs of arbitrary subsystems. As illustration, we consider different types of contiguous and noncontiguous blocks in two-dimensional lattices. Exact asymptotic expressions are provided for both first-neighbor and full-range couplings, which lead in the first case to area laws depending on the orientation and separation of the blocks. © 2012 American Physical Society.
Fil: Matera, Juan Mauricio. 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. Facultad de Ciencias Exactas, Universidad Nacional de la Plata; Argentina
Fil: Canosa, Norma Beatriz. 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
Entrelazamiento
Mecánica cuántica
Correlaciones
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acceso abierto
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https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
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Consejo Nacional de Investigaciones Científicas y Técnicas
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oai:ri.conicet.gov.ar:11336/74665
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spelling Entanglement and area laws in weakly correlated Gaussian statesMatera, Juan MauricioRossignoli, Raúl DanteCanosa, Norma BeatrizEntrelazamientoMecánica cuánticaCorrelacioneshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We examine the evaluation of entanglement measures in weakly correlated Gaussian states. It is shown that they can be expressed in terms of the singular values of a particular block of the generalized contraction matrix. This result enables us to obtain in a simple way asymptotic expressions and related area laws for the entanglement entropy of bipartitions in pure states, as well as for the logarithmic negativity associated with bipartitions and also with pairs of arbitrary subsystems. As illustration, we consider different types of contiguous and noncontiguous blocks in two-dimensional lattices. Exact asymptotic expressions are provided for both first-neighbor and full-range couplings, which lead in the first case to area laws depending on the orientation and separation of the blocks. © 2012 American Physical Society.Fil: Matera, Juan Mauricio. 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. Facultad de Ciencias Exactas, Universidad Nacional de la Plata; ArgentinaFil: Canosa, Norma Beatriz. 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 Society2012-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/74665Matera, Juan Mauricio; Rossignoli, Raúl Dante; Canosa, Norma Beatriz; Entanglement and area laws in weakly correlated Gaussian states; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 86; 6; 12-2012; 623241-62324101050-2947CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.86.062324info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.86.062324info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:20:31Zoai:ri.conicet.gov.ar:11336/74665instacron: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 10:20:31.397CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Entanglement and area laws in weakly correlated Gaussian states
title Entanglement and area laws in weakly correlated Gaussian states
spellingShingle Entanglement and area laws in weakly correlated Gaussian states
Matera, Juan Mauricio
Entrelazamiento
Mecánica cuántica
Correlaciones
title_short Entanglement and area laws in weakly correlated Gaussian states
title_full Entanglement and area laws in weakly correlated Gaussian states
title_fullStr Entanglement and area laws in weakly correlated Gaussian states
title_full_unstemmed Entanglement and area laws in weakly correlated Gaussian states
title_sort Entanglement and area laws in weakly correlated Gaussian states
dc.creator.none.fl_str_mv Matera, Juan Mauricio
Rossignoli, Raúl Dante
Canosa, Norma Beatriz
author Matera, Juan Mauricio
author_facet Matera, Juan Mauricio
Rossignoli, Raúl Dante
Canosa, Norma Beatriz
author_role author
author2 Rossignoli, Raúl Dante
Canosa, Norma Beatriz
author2_role author
author
dc.subject.none.fl_str_mv Entrelazamiento
Mecánica cuántica
Correlaciones
topic Entrelazamiento
Mecánica cuántica
Correlaciones
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 examine the evaluation of entanglement measures in weakly correlated Gaussian states. It is shown that they can be expressed in terms of the singular values of a particular block of the generalized contraction matrix. This result enables us to obtain in a simple way asymptotic expressions and related area laws for the entanglement entropy of bipartitions in pure states, as well as for the logarithmic negativity associated with bipartitions and also with pairs of arbitrary subsystems. As illustration, we consider different types of contiguous and noncontiguous blocks in two-dimensional lattices. Exact asymptotic expressions are provided for both first-neighbor and full-range couplings, which lead in the first case to area laws depending on the orientation and separation of the blocks. © 2012 American Physical Society.
Fil: Matera, Juan Mauricio. 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. Facultad de Ciencias Exactas, Universidad Nacional de la Plata; Argentina
Fil: Canosa, Norma Beatriz. 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 examine the evaluation of entanglement measures in weakly correlated Gaussian states. It is shown that they can be expressed in terms of the singular values of a particular block of the generalized contraction matrix. This result enables us to obtain in a simple way asymptotic expressions and related area laws for the entanglement entropy of bipartitions in pure states, as well as for the logarithmic negativity associated with bipartitions and also with pairs of arbitrary subsystems. As illustration, we consider different types of contiguous and noncontiguous blocks in two-dimensional lattices. Exact asymptotic expressions are provided for both first-neighbor and full-range couplings, which lead in the first case to area laws depending on the orientation and separation of the blocks. © 2012 American Physical Society.
publishDate 2012
dc.date.none.fl_str_mv 2012-12
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/11336/74665
Matera, Juan Mauricio; Rossignoli, Raúl Dante; Canosa, Norma Beatriz; Entanglement and area laws in weakly correlated Gaussian states; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 86; 6; 12-2012; 623241-6232410
1050-2947
CONICET Digital
CONICET
url http://hdl.handle.net/11336/74665
identifier_str_mv Matera, Juan Mauricio; Rossignoli, Raúl Dante; Canosa, Norma Beatriz; Entanglement and area laws in weakly correlated Gaussian states; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 86; 6; 12-2012; 623241-6232410
1050-2947
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.86.062324
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.86.062324
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
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
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score 13.069144

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