Bounds for the reduced relative entropies
Quantum Physics
2025-03-06 v3
Abstract
A lower bound of the reduced relative entropy is given by the use of a variational expression. The reduced Tsallis relative entropy is defined and some results are given. In particular, the convexity of the reduced Tsallis relative entropy is obtained. Finally, an upper bound of the reduced Tsallis relative entropy is given.
Keywords
Cite
@article{arxiv.2312.03778,
title = {Bounds for the reduced relative entropies},
author = {Shigeru Furuichi and Frank Hansen},
journal= {arXiv preprint arXiv:2312.03778},
year = {2025}
}
Comments
15 pages