The study of conditional q-entropies in composite quantum systems has recently been the focus of considerable interest, particularly in connection with the problem of separability. The q-entropies depend on the density matrix <InlineEquation ID="Equ2"> <EquationSource Format="TEX">$\rho$</EquationSource> </InlineEquation> through the quantity <InlineEquation ID="Equ3"> <EquationSource Format="TEX">$\omega_q={\rm Tr}\rho^q$</EquationSource> </InlineEquation>, and admit...</equationsource></inlineequation></equationsource></inlineequation>

MaxEnt’s variational principle, in conjunction with Shannon’s logarithmic information measure, yields only exponential functional forms in straightforward fashion. In this communication we show how to overcome this limitation via the incorporation, into the variational process, of suitable...

Tsallis’ q-triplet [C. Tsallis, Dynamical scenario for nonextensive statistical mechanics, Physica A 340 (2004) 1–10] is the best empirical quantifier of nonextensivity. Here we study it with reference to an experimental time-series related to the daily depth-values of the stratospheric...

The connection between Fisher's ideas concerning information measures and nonextensive thermostatistics (NET) is investigated. The Cramer-Rao bound is generalized to a NET environment. A relationship between Fisher's information and Tsallis' entropy is established.

An analysis of the thermodynamic behavior of quantum systems can be performed from a geometrical perspective investigating the structure of the state space. We have developed such an analysis for nonextensive thermostatistical frameworks, making use of the q-divergence derived from Tsallis’...

We consider a monoparametric family of reaction–diffusion equations endowed with both a nonlinear diffusion term and a nonlinear reaction one that possess exact time-dependent particular solutions of the Tsallis’ maximum entropy (MaxEnt) form. The evolution of these solutions is governed by...

As a part of the so-called Wheeler program, we present an information theoretic treatment for phase space distributions.

Given an arbitrary probability distribution and a nondegenerate energy spectrum, so that a mean energy U can be computed, we derive the partition function Z and the entropic functional S that satisfy the basic relation dU=TdS. The procedure is illustrated by considering examples of typical...

By recourse to information-theory tools, we study aspects of the dynamics of the interaction between a single trapped ion with a laser field. Despite its simplicity the model we use exhibits a broad range of intricate physical effects that are clearly detected by information quantifiers like...

We undertake the study of human EEG-signals by recourse to a wavelet based multiresolution analysis as adapted to an Information-Measure-Scenario. Different information measures are employed. It is shown that non-extensive ones seem to be of particular usefulness. Their use opens up perspectives...