Tight entropy bound based on p-quasinorms
Information Theory
2024-08-22 v1 math.IT
Abstract
In the present paper we prove a family of tight upper and lower bounds for the Shannon entropy and von Neumann entropy based on the p-norms. This allows us to have an entropy estimate, a criterion for the finiteness of it and a bound on the difference of entropy, additionally, we did some numerical tests that show the efficiency of our approximations.
Keywords
Cite
@article{arxiv.2408.11154,
title = {Tight entropy bound based on p-quasinorms},
author = {Juan Pablo Lopez},
journal= {arXiv preprint arXiv:2408.11154},
year = {2024}
}