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...

The description of the temporal evolution of some physical systems is tackled from an information theory view-point in which Tsallis' entropy is extremalized with the constraints posed by the knowledge of the generalized expectation values of a selected set of observables. The concomitant...

We consider maximum entropy solutions to Nonlinear Fokker–Planck equations within general thermostatistical formalisms. We show that the family of generalized nonextensive entropies introduced by Tsallis is the only one that has an associated family of nonlinear Fokker–Planck equations...

A regularization method based on the non-extensive maximum entropy principle is devised. Special emphasis is given to the q=1/2 case. We show that, when the residual principle is considered as constraint, the q=1/2 generalized distribution of Tsallis yields a regularized solution for...

The problem of structured noise suppression is addressed by (i) modelling the subspaces hosting the components of the signal conveying the information and (ii) applying a nonlinear non-extensive technique for effecting the right separation. Although the approach is applicable to all situations...

We propose a new type of entropic descriptor that is able to quantify the statistical complexity (a measure of complex behaviour) by taking simultaneously into account the average departures of a system’s entropy S from both its maximum possible value Smax and its minimum possible value Smin....

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...

Arguments of the Jaynes' maximum entropy sort have proved to be surprisingly successful in providing one with approximate descriptions of pure states in a variety of scenarios, entirely bypassing any consideration of Schrödinger's equation. Thus far, however, the concomitant algorithm was...

We investigate the changes in the entanglement of formation ΔE produced by quantum logical gates acting on composite quantum systems. We consider two-qubit, three-qubit, and two-qutrit systems. We prove that the ΔE-distributions generated by different quantum gates that can be obtained from...