Information-theoretic Bell inequalities based on Tsallis entropy

TL;DR

This paper explores entropic Bell inequalities for entangled qutrits using Tsallis entropy, demonstrating its effectiveness over Shannon entropy in detecting non-classicality and revealing maximal violations with non-maximally entangled states.

Contribution

It introduces a new approach using Tsallis entropy for entropic Bell inequalities, showing improved sensitivity in identifying quantum non-classicality.

Findings

Tsallis entropy outperforms Shannon entropy in revealing non-classicality.

Entropic Bell inequalities are maximally violated by non-maximally entangled qutrit states.

The study provides numerical evidence supporting the use of Tsallis entropy in quantum non-locality tests.

Abstract

We numerically investigate entropic Bell inequalities for a pair of entangled qutrits using information-theoretic distances. We show that for this class of inequalities Tsallis entropy is more suitable than Shannon as it reveals non-classicality for a larger set of quantum states. Finally, we find that like probability based inequalities, entropic ones are maximally violated by the non-maximally entangled qutrit state.