Violation of Equalities in Bipartite Qutrits Systems

TL;DR

This paper introduces new equalities in bipartite qutrit systems that are more robust to noise than inequalities, and demonstrates their quantum violations with non-maximally entangled states.

Contribution

It presents novel equalities for bipartite qutrits that exhibit stronger noise tolerance and quantum violations compared to existing inequalities.

Findings

Equalities are violated by quantum theory in bipartite qutrits.

Equalities tolerate more white noise than inequalities.

Non-maximally entangled states enhance violation strength.

Abstract

We have recently shown that for the special case of a bipartite system with binary inputs and outputs there exist equalities in local theories which are violated by quantum theory. The amount of white noise tolerated by these equalities are twice that of inequalities. In this paper we will first introduce an inequality in bipartite qutrits systems which, if non-maximally entangled state is used instead of maximally entangled state, is violated more strongly by quantum theory. Hence reproducing the results obtained in the literature. We will then prove that our equalities in this case are violated by quantum theory too, and they tolerate much more white noise than inequalities.