Chaves Rafael, Budroni Costantino
Institute for Physics & FDM, University of Freiburg, 79104 Freiburg, Germany.
Institute for Theoretical Physics, University of Cologne, 50937 Cologne, Germany.
Phys Rev Lett. 2016 Jun 17;116(24):240501. doi: 10.1103/PhysRevLett.116.240501. Epub 2016 Jun 13.
We introduce the concept of entropic nonsignaling correlations, i.e., entropies arising from probabilistic theories that are compatible with the fact that we cannot transmit information instantaneously. We characterize and show the relevance of these entropic correlations in a variety of different scenarios, ranging from typical Bell experiments to more refined descriptions such as bilocality and information causality. In particular, we apply the framework to derive the first entropic inequality testing genuine tripartite nonlocality in quantum systems of arbitrary dimension and also prove the first known monogamy relation for entropic Bell inequalities. Further, within the context of complex Bell networks, we show that entropic nonlocal correlations can be activated.
我们引入了熵非信号关联的概念，即源于概率理论的熵，这些概率理论与我们不能瞬间传输信息这一事实相容。我们刻画了这些熵关联在各种不同场景中的特征并展示了其相关性，这些场景从典型的贝尔实验到诸如双定域性和信息因果性等更精细的描述。特别地，我们应用该框架推导出了第一个用于测试任意维度量子系统中真正三方非定域性的熵不等式，并且还证明了熵贝尔不等式的第一个已知一夫一妻关系。此外，在复杂贝尔网络的背景下，我们表明熵非局域关联可以被激活。
