Weilenmann Mirjam
Département de Physique Appliquée, Université de Genève, Genève, Switzerland.
Nat Commun. 2025 Jan 2;16(1):269. doi: 10.1038/s41467-024-54855-1.
Non-signalling conditions encode minimal requirements that any (quantum) systems must satisfy in order to be consistent with special relativity. Recent works have argued that in scenarios involving more than two parties, correlations compatible with relativistic causality do not have to satisfy all possible non-signalling conditions but only a subset of them. Here we show that correlations satisfying only this subset of constraints have to satisfy highly non-local monogamy relations between the effects of space-like separated random variables. These monogamy relations take the form of entropic inequalities between the various systems and we give a general method to derive them. Using these monogamy relations, we refute previous suggestions for physical mechanisms that could lead to relativistically causal correlations, demonstrating that such mechanisms would lead to superluminal signalling.
非信号条件编码了任何（量子）系统为了与狭义相对论一致而必须满足的最低要求。最近的研究认为，在涉及多方的场景中，与相对论因果性兼容的关联不必满足所有可能的非信号条件，而只需满足其中的一个子集。在这里，我们表明，仅满足这一约束子集的关联必须满足类空分离随机变量效应之间高度非局域的一夫一妻制关系。这些一夫一妻制关系采取各种系统之间熵不等式的形式，我们给出了推导它们的一般方法。利用这些一夫一妻制关系，我们反驳了之前关于可能导致相对论因果关联的物理机制的建议，证明了这样的机制会导致超光速信号传输。
