Generalized entropies in quantum and classical statistical theories

TL;DR

This paper extends the concept of generalized (h, φ)-entropies to infinite-dimensional quantum and classical models, broadening their applicability in statistical theories.

Contribution

It introduces a framework for defining (h, φ)-entropies in infinite-dimensional probabilistic models, including quantum and classical systems.

Findings

Extended (h, φ)-entropies to infinite-dimensional models

Unified treatment of quantum and classical statistical theories

Provides new tools for analyzing complex probabilistic systems

Abstract

We study a version of the generalized (h, {\phi})-entropies, introduced by Salicr\'u et al, for a wide family of probabilistic models that includes quantum and classical statistical theories as particular cases. We extend previous works by exploring how to define (h, {\phi})-entropies in infinite dimensional models.