Mapping correlations between quantum discord and Bell non-locality

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.