LAMBERTI Pedro Walter
A family of generalized quantum entropies: definition and properties
G.M. BOSYK; STEEVE ZOZOR; F. HOLIK; MARIELA PORTESI; P.W. LAMBERTI
QUANTUM INFORMATION PROCESSING
Lugar: Berlin; Año: 2016 vol. 15 p. 3393 - 3420
We present a quantum version of the generalized (h; )-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 R´enyi, Tsallis, and unified entropies,constitute particular classesof the present general quantum Salicr´u form. We give a characterization of the (h; )-quantum entropies under theaction of quantum operations, and study their properties for compound systems. We apply these generalized entropies to the problem of detection of quantum entanglement.