Tight Bell inequality for d-outcome measurements correlations
Tight Bell inequality for d-outcome measurements correlations
复制标题
d 结果测量相关性的紧贝尔不等式
DOI：
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发表时间：
2002
影响因子：
1
通讯作者：
L. Masanes
中科院分区：
文献类型：
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作者：
L. Masanes
本文证明了由柯林斯，Gisin，林登，Massar和Popescu [11]引入的不等式是紧的，或者换句话说，它是由d个结果的所有局部现实联合概率生成的凸多面体的一个刻面.这意味着这个不等式是最优的。我们还表明，对于广义相关函数处理三个结果的测量，这个不等式的satisfyability是一个局部现实模型存在的充分必要条件。
In this paper we prove that the inequality introduced by Collins, Gisin, Linden, Massar and Popescu [11] is tight, or in other words, it is a facet of the convex polytope generated by all local-realistic joint probabilities of d outcomes. This means that this inequality is optimal. We also show that, for correlation functions generalized to deal with three-outcome measurements, the satisfyability of this inequality is a necessary and sufficient condition for the existence of a local-realistic model accounting for them.