Eur. Phys. J. Special Topics 227, 335–344 (2018)
https://doi.org/10.1140/epjst/e2018-00108-1

Regular Article

Generalized entropies in quantum and classical statistical theories

¹ Instituto de Física La Plata (IFLP), UNLP, CONICET, Facultad de Ciencias Exactas, La Plata, Argentina
² Facultad de Matemática, Astronomía, Física y Computación (FAMAF), UNC, CONICET, Córdoba, Argentina
³ Instituto de Investigación en Ciencias de la Computación (ICC), CONICET-Universidad de Buenos Aires, Buenos Aires, Argentina
⁴ Laboratoire Grenoblois d’Image, Parole, Signal et Automatique (GIPSA-Lab), CNRS, Saint Martin d’Héres, France

^a e-mail: lamberti@famaf.unc.edu.ar

Received: 6 November 2017
Published online: 28 September 2018

Abstract

We study a version of the generalized (h, ϕ)-entropies, introduced by Salicrú et al. [M. Salicrú et al., Commun. Stat. Theory Method. 22, 2015 (1993)], 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, ϕ)-entropies in infinite dimensional models.