Generalized entropies in quantum and classical statistical theories

M. Portesi (1) , F. Holik (1) , P. Lamberti (2) , M. Bosyk (1) , G. Bellomo (3) , Steeve Zozor (4)

1 IFLP - Instituto de Física La Plata [La Plata]
2 FaMAF - Facultad de Matemática, Astronomía y Física [Cordoba]
3 ICC - Instituto de Investigación en Ciencias de la Computación [Buenos Aires]
4 GIPSA-CICS - GIPSA - Communication Information and Complex Systems

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.

Domaines: Théorie de l'information [cs.IT]; Physique Quantique [quant-ph]; Physique mathématique [math-ph]

M. Portesi, F. Holik, P. Lamberti, M. Bosyk, G. Bellomo, et al.. Generalized entropies in quantum and classical statistical theories. The European Physical Journal. Special Topics, 2018, 227 (3-4), pp.335-344. ⟨10.1140/epjst/e2018-00108-1⟩. ⟨hal-01987475⟩