A New Quantum f-Divergence for Trace Class Operators in Hilbert Spaces

Entropy

关键词: self-adjoint bounded linear operators;    functions of operators;    trace of operators;    quantum divergence;   

DOI  :  10.3390/e16115853

来源: mdpi

【 摘 要 】

A new quantum f-divergence for trace class operators in Hilbert Spaces is introduced. It is shown that for normalised convex functions it is nonnegative. Some upper bounds are provided. Applications for some classes of convex functions of interest are also given.

【 授权许可】

CC BY   
© 2014 by the authors; licensee MDPI, Basel, Switzerland