Mapping correlations between quantum discord and Bell non-locality

TL;DR

This paper introduces a numerical framework to analyze the relationship between quantum discord and Bell non-locality, establishing bounds and classifying states based on their correlations.

Contribution

It provides a systematic method to determine the minimal quantum discord needed for Bell violations across multiple Bell expressions, revealing two characteristic classes of states.

Findings

Established lower bounds for discord in Bell violations.

Compared performance across six Bell expressions with noise.

Identified two classes of states based on minimal discord.

Abstract

We present a numerical framework for the certification and systematic analysis of the relationship between Bell nonlocality and quantum discord. By determining the minimum discord required for a bipartite state to manifest a specific Bell violation, we establish lower bounds for these correlations. We evaluate this methodology across six distinct Bell expressions, comparing their performance through the minimal discord values observed under varying intensities of white noise. Analysis of the resulting optimization landscape suggests the existence of two characteristic classes of optimized states, categorized by their minimized quantum discord.