Non-Gaussian effects on quantum entropies

A deduction of generalized quantum entropies within the non-Gaussian frameworks, Tsallis and Kaniadakis, is derived using a generalized combinatorial method and the so-called q and κ calculus. In agreement with previous results, we also show that for the Tsallis formulation the q -quantum entropy is well-defined for values of the nonextensive parameter q lying in the interval [0,2].