We analyze families of measures for the quantum statistical speed which include as special
cases the quantum Fisher information, the trace speed, ie, the quantum statistical speed …

In this paper, we studied, at first, the influence of the energy-dependent potentials on the one-
dimensionless Klein–Gordon oscillator. Then, the Shannon entropy and Fisher information …

We present two extended forms of Fisher information that fit well in the context of
nonextensive thermostatistics. We show that there exists an interplay between these …

Recent work in theoretical neuroscience has shown that information-theoretic" efficient"
neural codes, which allocate neural resources to maximize the mutual information between …

Uncertainty propagation and filtering can be interpreted as gradient flows with respect to
suitable metrics in the infinite dimensional manifold of probability density functions. Such a …

A general class of Bayesian lower bounds when the underlying loss function is a Bregman
divergence is demonstrated. This class can be considered as an extension of the Weinstein …

Following a recent proof of Shannon's entropy power inequality (EPI), a comprehensive
framework for deriving various EPIs for the Rényi entropy is presented that uses transport …

We study the properties of optical pulses in cubic-quintic nonlinear media using Fisher
information. The nonlinear media can support regular (sharp top) and flat top pulses …

Information-theoretic inequalities play a fundamental role in numerous scientific and
technological areas (eg, estimation and communication theories, signal and information …

In this paper, we propose generalizations of the de Bruijn identity based on extensions of the
Shannon entropy, Fisher information and their associated divergences or relative measures …