论文标题
贝尔非本地和上下文场景之间的可逆地图
An invertible map between Bell non-local and contextuality scenarios
论文作者
论文摘要
我们介绍了在任何双方铃铛场景中的相关性与情境场景中的行为之间的相关性之间的可逆图。该地图分别将局部，量子和非信号相关性分别与非上下文，量子和上下文行为相关联。因此，我们发现量子上下文行为集的成员资格问题是不可确定的，该集合无法通过有限的尺寸量子系统完全实现，并且不会关闭。最后，我们表明，由于结果mip*= re，该集合和闭合都不是一系列可计算超集的序列的限制。
We present an invertible map between correlations in any bipartite Bell scenario and behaviours in a family of contextuality scenarios. The map takes local, quantum and non-signalling correlations to non-contextual, quantum and contextual behaviours, respectively. Consequently, we find that the membership problem of the set of quantum contextual behaviours is undecidable, the set cannot be fully realised via finite dimensional quantum systems and is not closed. Finally, we show that neither this set nor its closure is the limit of a sequence of computable supersets, due to the result MIP*=RE.
