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 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 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.
Facultad de Ciencias Exactas - Materia
-
Ciencias Exactas
Física
entanglement
gaussian states - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/77397
Ver los metadatos del registro completo
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Entanglement and area laws in weakly correlated gaussian statesMatera, Juan MauricioRossignoli, Raúl DanteCanosa, Norma BeatrizCiencias ExactasFísicaentanglementgaussian statesWe 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 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 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.Facultad de Ciencias Exactas2012info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/77397enginfo:eu-repo/semantics/altIdentifier/issn/1094-1622info:eu-repo/semantics/altIdentifier/hdl/11746/4199info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.86.062324info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:13:49Zoai:sedici.unlp.edu.ar:10915/77397Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:13:49.418SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| 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 Ciencias Exactas Física entanglement gaussian states |
| 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 |
Ciencias Exactas Física entanglement gaussian states |
| topic |
Ciencias Exactas Física entanglement gaussian states |
| 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 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 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. Facultad de Ciencias Exactas |
| 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 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 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. |
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2012 |
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2012 |
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eng |
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eng |
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