Metaphors, generalizations and unifications are natural and desirable ingredients of the
evolution of scientific theories and concepts. Physics, in particular, obviously walks along …

Geometric aspects of Tsallis' nonextensive statistics are discussed by means of geometry
with dual α-connections. Consequently, a close relation with the nonextensivity and …

Quantum key distribution (QKD), another name for quantum cryptography, is the most
advanced subfield of quantum information and communication technology (QICT). The first …

Abstract The cumulative residual Kullback-Leibler information was recently proposed as a
suitable generalization of Kullback-Leibler information to the survival function. In this paper …

An issue which has attracted increasing attention in contemporary researches are Kirkwood–
Dirac quasiprobabilities. List of their use includes many questions of quantum physics …

Streamwise velocity profile in open-channel flow based on Tsallis relative entropy | Chaos:
An Interdisciplinary Journal of Nonlinear Science | AIP Publishing Skip to Main Content …

Generalizations of the quantum Fano inequality are considered. The notion of q-entropy
exchange is introduced. This quantity is concave in each of its two arguments. For q≥ 0, the …

The generalized Kullback–Leibler divergence (K–Ld) in Tsallis statistics [constrained by the
additive duality of generalized statistics (dual generalized K–Ld)] is here reconciled with the …

Mathematical models of population extinction have a variety of applications in such areas as
ecology, paleontology and conservation biology. Here we propose and investigate two types …

Extensions of Fannes' inequality with partial sums of the Tsallis entropy are obtained for both
the classical and quantum cases. The definition of k th partial sum under the prescribed …