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Optimal non-signalling violations via tensor norms
Revista Matemática Complutense ( IF 0.8 ) Pub Date : 2019-10-12 , DOI: 10.1007/s13163-019-00329-8
Abderramán Amr Rey , Carlos Palazuelos , Ignacio Villanueva

In this paper we characterize the set of bipartite non-signalling probability distributions in terms of tensor norms. Using this characterization we give optimal upper and lower bounds on Bell inequality violations when non-signalling distributions are considered. Interestingly, our upper bounds show that non-signalling Bell inequality violations cannot be significantly larger than quantum Bell inequality violations.

中文翻译:

通过张量规范的最佳无信号违反

在本文中,我们用张量范数来刻画二部非信号传递概率分布的集合。使用这种特征,当考虑到非信号分配时,我们给出了贝尔不等式违规的最佳上限和下限。有趣的是,我们的上限表明,无信号贝尔不平等违规不能明显大于量子贝尔不平等违规。
更新日期:2019-10-12
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