Generalized measures of quantum correlations for mixed states
- Autores
- Rossignoli, Raúl Dante; Canosa, Norma Beatriz; Ciliberti, Leonardo Francisco
- Año de publicación
- 2011
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- The exponential speedup achieved in certain quantum algorithms based on mixed states with negligible entanglement has renewed the interest on alternative measures of quantum correlations. Here we discuss a general measure of quantum correlations for composite systems based on generalized entropic functions, defined as the minimum information loss due to a local measurement. For pure states, the present measure becomes an entanglement entropy, i.e., it reduces to the generalized entropy of the reduced state. However, for mixed states it can be nonzero in separable states, vanishing just for states diagonal in a general product basis, like the quantum discord. Quadratic measures of quantum correlations can be derived as particular cases of the present formalism. The minimum information loss due to a joint local measurement is also considered. The evaluation of these measures in a simple yet relevant case is also discussed.
Instituto de Física La Plata - Materia
-
Ciencias Exactas
Física
quantum correlations
quantum entanglement
generalized entropic forms - 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:10915/142122
Ver los metadatos del registro completo
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Generalized measures of quantum correlations for mixed statesRossignoli, Raúl DanteCanosa, Norma BeatrizCiliberti, Leonardo FranciscoCiencias ExactasFísicaquantum correlationsquantum entanglementgeneralized entropic formsThe exponential speedup achieved in certain quantum algorithms based on mixed states with negligible entanglement has renewed the interest on alternative measures of quantum correlations. Here we discuss a general measure of quantum correlations for composite systems based on generalized entropic functions, defined as the minimum information loss due to a local measurement. For pure states, the present measure becomes an entanglement entropy, i.e., it reduces to the generalized entropy of the reduced state. However, for mixed states it can be nonzero in separable states, vanishing just for states diagonal in a general product basis, like the quantum discord. Quadratic measures of quantum correlations can be derived as particular cases of the present formalism. The minimum information loss due to a joint local measurement is also considered. The evaluation of these measures in a simple yet relevant case is also discussed.Instituto de Física La Plata2011-11-17info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf467-475http://sedici.unlp.edu.ar/handle/10915/142122enginfo:eu-repo/semantics/altIdentifier/issn/1071-2836info:eu-repo/semantics/altIdentifier/issn/1573-8760info:eu-repo/semantics/altIdentifier/doi/10.1007/s10946-011-9236-9info: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:UNLP2025-09-03T11:04:29Zoai:sedici.unlp.edu.ar:10915/142122Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 11:04:29.244SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Generalized measures of quantum correlations for mixed states |
| title |
Generalized measures of quantum correlations for mixed states |
| spellingShingle |
Generalized measures of quantum correlations for mixed states Rossignoli, Raúl Dante Ciencias Exactas Física quantum correlations quantum entanglement generalized entropic forms |
| title_short |
Generalized measures of quantum correlations for mixed states |
| title_full |
Generalized measures of quantum correlations for mixed states |
| title_fullStr |
Generalized measures of quantum correlations for mixed states |
| title_full_unstemmed |
Generalized measures of quantum correlations for mixed states |
| title_sort |
Generalized measures of quantum correlations for mixed states |
| dc.creator.none.fl_str_mv |
Rossignoli, Raúl Dante Canosa, Norma Beatriz Ciliberti, Leonardo Francisco |
| author |
Rossignoli, Raúl Dante |
| author_facet |
Rossignoli, Raúl Dante Canosa, Norma Beatriz Ciliberti, Leonardo Francisco |
| author_role |
author |
| author2 |
Canosa, Norma Beatriz Ciliberti, Leonardo Francisco |
| author2_role |
author author |
| dc.subject.none.fl_str_mv |
Ciencias Exactas Física quantum correlations quantum entanglement generalized entropic forms |
| topic |
Ciencias Exactas Física quantum correlations quantum entanglement generalized entropic forms |
| dc.description.none.fl_txt_mv |
The exponential speedup achieved in certain quantum algorithms based on mixed states with negligible entanglement has renewed the interest on alternative measures of quantum correlations. Here we discuss a general measure of quantum correlations for composite systems based on generalized entropic functions, defined as the minimum information loss due to a local measurement. For pure states, the present measure becomes an entanglement entropy, i.e., it reduces to the generalized entropy of the reduced state. However, for mixed states it can be nonzero in separable states, vanishing just for states diagonal in a general product basis, like the quantum discord. Quadratic measures of quantum correlations can be derived as particular cases of the present formalism. The minimum information loss due to a joint local measurement is also considered. The evaluation of these measures in a simple yet relevant case is also discussed. Instituto de Física La Plata |
| description |
The exponential speedup achieved in certain quantum algorithms based on mixed states with negligible entanglement has renewed the interest on alternative measures of quantum correlations. Here we discuss a general measure of quantum correlations for composite systems based on generalized entropic functions, defined as the minimum information loss due to a local measurement. For pure states, the present measure becomes an entanglement entropy, i.e., it reduces to the generalized entropy of the reduced state. However, for mixed states it can be nonzero in separable states, vanishing just for states diagonal in a general product basis, like the quantum discord. Quadratic measures of quantum correlations can be derived as particular cases of the present formalism. The minimum information loss due to a joint local measurement is also considered. The evaluation of these measures in a simple yet relevant case is also discussed. |
| publishDate |
2011 |
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2011-11-17 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://sedici.unlp.edu.ar/handle/10915/142122 |
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eng |
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