Inequalities for Quantum f-Divergence of Trace Class Operators in Hilbert Spaces
Functional Analysis
2015-09-16 v1
Abstract
Some inequalities for quantum f-divergence of trace class operators in Hilbert spaces are obtained. It is shown that for normalised convex functions it is nonnegative. Some upper bounds for quantum f-divergence in terms of variational and chi-distance are provided. Applications for some classes of divergence measures such as Umegaki and Tsallis relative entropies are also given.
Keywords
Cite
@article{arxiv.1509.04362,
title = {Inequalities for Quantum f-Divergence of Trace Class Operators in Hilbert Spaces},
author = {Silvestru Sever Dragomir},
journal= {arXiv preprint arXiv:1509.04362},
year = {2015}
}