Generalized quantum entropies

G. M. BOSYK; M. PORTESI; S. ZOZOR; F. HOLIK; G. BELLOMO; P. W. LAMBERTI

Lyon

Congreso; Statphys26; 2016

We study the properties of quantum generalized entropies inspired in the family of (h,φ)-functionals given by Salicrú for classical distributions. The quantum versions comprise some known cases as von Neumann and others, and provide a plethora of entropies the behaviour of which we analyze under the action of quantum operations. For given subfamilies of the quantum (h,φ)-entropies, the problem of detection of quantum entanglement is addressed and the application as measures of quantum correlations for bipartite systems is discussed.