论文标题
从共同信息中表征非信号相关性
Characterization of non-signaling correlations from mutual information
论文作者
论文摘要
我们介绍了一组非信号相关性的表征,该相关性涉及贝尔功能的最大值和双方之间的相互信息的二维表示。特别是,我们将此表示形式应用于两分钟场景,并具有两个测量和两个结果。就这些物理有意义的数量以及通过数值优化方法和一些分析结果而言,我们研究了非信号相关性的不同子集之间的边界,重点是量子和量词后。最后,我们表明tsirelson结合在这种情况下是一个单数点,而无需诉诸量子力学。
We present a characterization of the set of non-signaling 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 non-signaling correlations, focussing on the quantum and post-quantum ones. Finally, we show that the Tsirelson bound appears as a singular point in this context without resorting to quantum mechanics.