A family of generalized quantum entropies: definition and properties
We present a quantum version of the generalized (h, φ)-entropies, introduced by Salicrú et al. for the study of classical probability distributions.We establish their basic properties and show that already known quantum entropies such as von Neumann, and quantum versions of Rényi, Tsallis, and unifi...
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| Autores principales: | , , , , |
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| Formato: | Articulo |
| Lenguaje: | Inglés |
| Publicado: |
2016
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| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/103231 https://link.springer.com/article/10.1007/s11128-016-1329-5 |
| Aporte de: |
| id |
I19-R120-10915-103231 |
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dspace |
| institution |
Universidad Nacional de La Plata |
| institution_str |
I-19 |
| repository_str |
R-120 |
| collection |
SEDICI (UNLP) |
| language |
Inglés |
| topic |
Ciencias Exactas Física quantum entropies majorization relation entanglement detection |
| spellingShingle |
Ciencias Exactas Física quantum entropies majorization relation entanglement detection Bosyk, Gustavo Martín Zozor, Steeve Holik, Federico Hernán Portesi, Mariela Adelina Lamberti, Pedro Walter A family of generalized quantum entropies: definition and properties |
| topic_facet |
Ciencias Exactas Física quantum entropies majorization relation entanglement detection |
| description |
We present a quantum version of the generalized (h, φ)-entropies, introduced by Salicrú et al. for the study of classical probability distributions.We establish their basic properties and show that already known quantum entropies such as von Neumann, and quantum versions of Rényi, Tsallis, and unified entropies, constitute particular classes of the present general quantum Salicrú form. We exhibit that majorization plays a key role in explaining most of their common features. We give a characterization of the quantum (h, φ)-entropies under the action of quantum operations and study their properties for composite systems. We apply these generalized entropies to the problem of detection of quantum entanglement and introduce a discussion on possible generalized conditional entropies as well. |
| format |
Articulo Articulo |
| author |
Bosyk, Gustavo Martín Zozor, Steeve Holik, Federico Hernán Portesi, Mariela Adelina Lamberti, Pedro Walter |
| author_facet |
Bosyk, Gustavo Martín Zozor, Steeve Holik, Federico Hernán Portesi, Mariela Adelina Lamberti, Pedro Walter |
| author_sort |
Bosyk, Gustavo Martín |
| title |
A family of generalized quantum entropies: definition and properties |
| title_short |
A family of generalized quantum entropies: definition and properties |
| title_full |
A family of generalized quantum entropies: definition and properties |
| title_fullStr |
A family of generalized quantum entropies: definition and properties |
| title_full_unstemmed |
A family of generalized quantum entropies: definition and properties |
| title_sort |
family of generalized quantum entropies: definition and properties |
| publishDate |
2016 |
| url |
http://sedici.unlp.edu.ar/handle/10915/103231 https://link.springer.com/article/10.1007/s11128-016-1329-5 |
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