A family of generalized quantum entropies: definition and properties

GUSTAVO BOSYK; STEEVE ZOZOR; FEDERICO HOLIK; MARIELA PORTESI; PEDRO WALTER LAMBERTI

QUANTUM INFORMATION PROCESSING

SPRINGER

Lugar: Berlin; Año: 2016

1570-0755

We present a quantum version of the generalized (h, φ)-entropies, introduced by Salicru´ et al. for the study of classical probability distributions. We establish their basic properties, and show that already known quantum entropiessuch as von Neumann, and quantum versions of Renyi, Tsallis, and unified entropies, constitute particular classes of the present general quantum Salicru form. We give a characterization of the (h, φ)-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.