Variational representations related to Tsallis relative entropy
Mathematical Physics
2020-05-11 v1 math.MP
Abstract
We develop variational representations for the deformed logarithmic and exponential functions and use them to obtain variational representations related to the quantum Tsallis relative entropy. We extend Golden-Thompson's trace inequality to deformed exponentials with deformation parameter thus complementing the second author's previous study of the cases with deformation parameter or
Cite
@article{arxiv.1901.06807,
title = {Variational representations related to Tsallis relative entropy},
author = {Guanghua Shi and Frank Hansen},
journal= {arXiv preprint arXiv:1901.06807},
year = {2020}
}