Deformed logarithms and their inverse functions, the deformed exponentials, are important tools in the theory of non-additive entropies and non-extensive statistical mechanics. We formulate and prove counterparts of Golden–Thompson’s trace inequality for $$ q $$q-exponentials with parameter $$ q $$q in the interval $$ [1,3]$$[1,3].
- Concave trace function
- Deformed exponentials
- Golden–Thompson’s trace inequality
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics