Uncertainty relations in terms of Tsallis entropy

TL;DR

This paper derives and discusses uncertainty relations based on Tsallis entropy, introducing a positive function that saturates entropic inequalities for physical states, enhancing understanding of quantum uncertainty measures.

Contribution

It presents new uncertainty relations formulated with Tsallis entropy and identifies a function that saturates these inequalities for physical states.

Findings

A positively defined function saturates entropic inequalities.

Uncertainty relations are extended using Tsallis entropy.

The results deepen the understanding of quantum uncertainty measures.

Abstract

Uncertainty relations emerging from the Tsallis entropy are derived and discussed. In particular we found a positively defined function that saturates the so called entropic inequalities for entropies characterizing the physical states under consideration.