Violation of majorization relations in entangled states and its detection by means of generalized entropic forms
- Autores
- Rossignoli, Raúl Dante; Canosa, Norma Beatriz
- Año de publicación
- 2003
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We examine the violation of the majorization relations between the eigenvalues of the full and reduced density operators of entangled states of composite systems and its detection using generalized entropic forms based on arbitrary concave functions. It is shown that the violation of these relations may not always be detected by the conditional von Neumann and Tsallis entropies (for any q > 0). Families of smooth entropic forms which are always able to detect such violations are, however, provided. These features are then examined for particular sets of mixed states in a two-qudit system, which for d ≥ 3 may exhibit different types of violation of the majorization relations. Comparison with the Peres criterion for separability is also shown.
Facultad de Ciencias Exactas - Materia
-
Ciencias Exactas
Física
Physics
majorization relations
generalized entropic forms - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/126053
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Violation of majorization relations in entangled states and its detection by means of generalized entropic formsRossignoli, Raúl DanteCanosa, Norma BeatrizCiencias ExactasFísicaPhysicsmajorization relationsgeneralized entropic formsWe examine the violation of the majorization relations between the eigenvalues of the full and reduced density operators of entangled states of composite systems and its detection using generalized entropic forms based on arbitrary concave functions. It is shown that the violation of these relations may not always be detected by the conditional von Neumann and Tsallis entropies (for any q > 0). Families of smooth entropic forms which are always able to detect such violations are, however, provided. These features are then examined for particular sets of mixed states in a two-qudit system, which for d ≥ 3 may exhibit different types of violation of the majorization relations. Comparison with the Peres criterion for separability is also shown.Facultad de Ciencias Exactas2003-04info: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/10915/126053enginfo:eu-repo/semantics/altIdentifier/issn/1050-2947info:eu-repo/semantics/altIdentifier/issn/1094-1622info:eu-repo/semantics/altIdentifier/arxiv/1505.03611info:eu-repo/semantics/altIdentifier/doi/10.1103/physreva.67.042302info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-03T11:02:24Zoai:sedici.unlp.edu.ar:10915/126053Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 11:02:24.724SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Violation of majorization relations in entangled states and its detection by means of generalized entropic forms |
| title |
Violation of majorization relations in entangled states and its detection by means of generalized entropic forms |
| spellingShingle |
Violation of majorization relations in entangled states and its detection by means of generalized entropic forms Rossignoli, Raúl Dante Ciencias Exactas Física Physics majorization relations generalized entropic forms |
| title_short |
Violation of majorization relations in entangled states and its detection by means of generalized entropic forms |
| title_full |
Violation of majorization relations in entangled states and its detection by means of generalized entropic forms |
| title_fullStr |
Violation of majorization relations in entangled states and its detection by means of generalized entropic forms |
| title_full_unstemmed |
Violation of majorization relations in entangled states and its detection by means of generalized entropic forms |
| title_sort |
Violation of majorization relations in entangled states and its detection by means of generalized entropic forms |
| dc.creator.none.fl_str_mv |
Rossignoli, Raúl Dante Canosa, Norma Beatriz |
| author |
Rossignoli, Raúl Dante |
| author_facet |
Rossignoli, Raúl Dante Canosa, Norma Beatriz |
| author_role |
author |
| author2 |
Canosa, Norma Beatriz |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Ciencias Exactas Física Physics majorization relations generalized entropic forms |
| topic |
Ciencias Exactas Física Physics majorization relations generalized entropic forms |
| dc.description.none.fl_txt_mv |
We examine the violation of the majorization relations between the eigenvalues of the full and reduced density operators of entangled states of composite systems and its detection using generalized entropic forms based on arbitrary concave functions. It is shown that the violation of these relations may not always be detected by the conditional von Neumann and Tsallis entropies (for any q > 0). Families of smooth entropic forms which are always able to detect such violations are, however, provided. These features are then examined for particular sets of mixed states in a two-qudit system, which for d ≥ 3 may exhibit different types of violation of the majorization relations. Comparison with the Peres criterion for separability is also shown. Facultad de Ciencias Exactas |
| description |
We examine the violation of the majorization relations between the eigenvalues of the full and reduced density operators of entangled states of composite systems and its detection using generalized entropic forms based on arbitrary concave functions. It is shown that the violation of these relations may not always be detected by the conditional von Neumann and Tsallis entropies (for any q > 0). Families of smooth entropic forms which are always able to detect such violations are, however, provided. These features are then examined for particular sets of mixed states in a two-qudit system, which for d ≥ 3 may exhibit different types of violation of the majorization relations. Comparison with the Peres criterion for separability is also shown. |
| publishDate |
2003 |
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2003-04 |
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article |
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http://sedici.unlp.edu.ar/handle/10915/126053 |
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eng |
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eng |
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info:eu-repo/semantics/altIdentifier/issn/1050-2947 info:eu-repo/semantics/altIdentifier/issn/1094-1622 info:eu-repo/semantics/altIdentifier/arxiv/1505.03611 info:eu-repo/semantics/altIdentifier/doi/10.1103/physreva.67.042302 |
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