论文标题

在一组无信号组合的边缘

On the edge of the set of no-signaling assemblages

论文作者

Banacki, Michał, Rodríguez, Ricard Ravell, Horodecki, Paweł

论文摘要

在最近的进步之后,我们考虑了多方量词后转向和一般无信号组合的方案。我们介绍了一组无信号组合的边缘的概念,并提出了它的表征。接下来,我们使用此概念来构建没有LHS模型的无信号组合的证人。最后,在最简单的非平凡的情况下,使用两个不受信任的子系统转向,我们讨论了边缘上量子实现量子的可能性。特别是,对于三量状态,我们获得了一个不可行的结果,该结果表明,只要给定状态的等级大于或等于3,就不可能使用POVMS所描述的测量在边缘产生组合。

Following recent advancements, we consider a scenario of multipartite postquantum steering and general no-signaling assemblages. We introduce the notion of the edge of the set of no-signaling assemblages and we present its characterization. Next, we use this concept to construct witnesses for no-signaling assemblages without an LHS model. Finally, in the simplest nontrivial case of steering with two untrusted subsystems, we discuss the possibility of quantum realization of assemblages on the edge. In particular, for three-qubit states, we obtain a no-go type result, which states that it is impossible to produce assemblage on the edge using measurements described by POVMs as long as the rank of a given state is greater than or equal to 3.

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