We present a characterization of the set of nonsignaling correlations in terms of a two-dimensional representation that involves the maximal value of a Bell functional and the mutual information between the parties. In particular, we apply this representation to the bipartite Bell scenario with two measurements and two outcomes. In terms of these physically meaningful quantities and through numerical optimization methods and some analytical results, we investigate the frontier between the different subsets of the nonsignaling correlations, focusing on the quantum and postquantum ones. Our analysis exhibits that there is a trade-off between the amount of classical correlations existing between the parties and the magnitude of the violation of a given Bell inequality. Notably, the Tsirelson bound appears as a singular point of this trade-off without resorting to quantum mechanics.

中文翻译：

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从互信息表征非信号相关性

我们根据涉及贝尔泛函的最大值和各方之间的互信息的二维表示来描述一组非信令相关性。特别是，我们将此表示应用于具有两个测量值和两个结果的双向贝尔场景。根据这些物理上有意义的量，通过数值优化方法和一些分析结果，我们研究了非信号相关的不同子集之间的边界，重点是量子和后量子。我们的分析表明，双方之间存在的经典相关性的数量与违反给定贝尔不等式的程度之间存在权衡。尤其，