The level of order R in a spherical system of radius r0 with a probability amplitude function ψ(x),x=r,θ,ϕ obeys R=(1/2)r02I, where I=4∫dx|∇ψ|2 is its Fisher information level. We show that a flat space universe obeying the Robertson–Walker metric has an invariant value of the order as...

A principled framework to generalize variational perturbation approximations (VPAs) formulated within the ambit of the nonadditive statistics of Tsallis statistics, is introduced. This is accomplished by operating on the terms constituting the perturbation expansion of the generalized free...

We focus attention on the particular thermodynamic relation dU=TdS+δW. Using information theory concepts we show that, for a reversible process in which intensive variables change, microscopic considerations related to this thermodynamic relation make the informational contents of,...

Pseudo Random Number Generators (PRNG) have attracted intense attention due to their obvious importance for many branches of science and technology. A randomizing technique is a procedure designed to improve the PRNG randomness degree according the specific requirements. It is obviously...

We use Tsallis’ information measure and the recently advanced “escort-Tsallis” one in order to investigate the stochastic resonance (SR) phenomenon. In particular, on the basis of these generalized information measures (GIM), both characterized by a non-extensivity parameter q, we study...

We discuss bounds on the values adopted by the generalized statistical complexity measures [M.T. Martin et al., Phys. Lett. A 311 (2003) 126; P.W. Lamberti et al., Physica A 334 (2004) 119] introduced by López Ruiz et al. [Phys. Lett. A 209 (1995) 321] and Shiner et al. [Phys. Rev. E 59 (1999)...

By considering a simple thermodynamic system, in thermal equilibrium at a temperature T and in the presence of an external parameter A, we focus our attention on the particular thermodynamic (macroscopic) relation dU=TdS+δW. Using standard axioms from information theory and the fact that the...

It is well known that a suggestive relation exists that links the Schrödinger equation (SE) to the information-optimizing principle based on the Fisher information measure (FIM). We explore here an approach that will allow one to infer the optimal FIM compatible with a given amount of prior...

We consider the change of entanglement of formation ΔE produced by the Hadamard-CNOT circuit on a general (pure or mixed) state ρ describing a system of two qubits. We study numerically the probabilities of obtaining different values of ΔE, assuming that the initial state is randomly...

Fourteen years ago John Archibald Wheeler launched his “it from bit” project to try and derive physics from information theory. We advance here a conceptual framework for this Wheeler program (WP), and summarize some recent progress with reference to different aspects of the role that...