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 - 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:11336/74665
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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 Técnicas2025-09-03T10:03:23Zoai: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:34982025-09-03 10:03:25.049CONICET 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/ |
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openAccess |
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https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
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application/pdf application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
American Physical Society |
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American Physical Society |
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reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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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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