# Note on bounds for symmetric divergence measures

## TL;DR

This paper extends existing bounds on symmetric divergence measures by introducing classical q-extensions and non-commutative extensions, building on prior results by Gilardoni and Sason.

## Contribution

It provides new extensions of tight bounds for symmetric divergence measures, including q-extensions and non-commutative cases, advancing theoretical understanding.

## Key findings

- Derived classical q-extensions of divergence bounds
- Developed non-commutative extensions for divergence measures
- Built upon Gilardoni and Sason's foundational results

## Abstract

I. Sason obtained the tight bounds for symmetric divergence measures are derived by applying the results established by G. L. Gilardoni. In this article, we are going to report two kinds of extensions for the above results, namely classical q-extension and non-commutative extension.