Articulo
A family of generalized quantum entropies: definition and properties
Autor
Bosyk, Gustavo Martín
Zozor, Steeve
Holik, Federico Hernán
Portesi, Mariela Adelina
Lamberti, Pedro Walter
Institución
Resumen
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. Facultad de Ciencias Exactas Instituto de Física La Plata