论文标题

白噪声对铃铛定理的效果

Effects of white noise on Bell theorem for qudits

论文作者

Dutta, Arijit, Kim, Jaewan, Lee, Jinhyoung

论文摘要

我们在局部可观察物之间介绍了两种类型的统计准排序,以构建针对任意维度系统的两党钟形不平等现象和每个站点的任意测量设置。请注意,统计准分离和通常的统计分离之间的主要区别在于,前者不是在两个局部可观察物的交换中对称的,而后者则保留了对称性。我们表明,可以通过依次应用三角形不等式来得出各种铃铛的不平等,这些不平等达到统计准分离满足。提出了足够的条件,以表明违反关键可见性$ v_c $的无限值的钟形不平等现象。

We introduce two types of statistical quasi-separation between local observables to construct two-party Bell-type inequalities for an arbitrary dimensional systems and arbitrary number of measurement settings per site. Note that, the main difference between statistical quasi-separations and the usual statistical separations is that the former are not symmetric under exchange of the two local observables, whereas latter preserve the symmetry. We show that a variety of Bell inequalities can be derived by sequentially applying triangle inequalities which statistical quasi-separations satisfy. A sufficient condition is presented to show quantum violations of the Bell-type inequalities with infinitesimal values of critical visibility $v_c$.

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