论文标题
概括铃不平等的途径
Avenues to generalising Bell inequalities
论文作者
论文摘要
表征所有贝尔不平等的集合是一项艰巨的任务。在参考资料中给出了一种有见地的方法，即在每个站点的贝尔相关性不平等的情况下使用两个二分法测量值 - 用于任意当事方的情况。 [物理。 Rev. A 64，010102（R）（2001）]和[Phys。 Rev. A 64，032112（2001）]。使用复杂值的相关函数，我们将它们的方法推广到更广泛的贝尔场景，在该场景中，当事方可以从2个以上的多种结果测量中进行选择。尽管所产生的贝尔不平等家族并不总是很紧，但它们的系数具有直觉上可理解的结构。我们通过数值测试其在简单的干涉测量实验中检测铃铛非经典性的能力来探测其有用性。此外，我们确定以基于相关形式表达的CGLMP不平等的类似结构，这使我们能够将其推广到三方。
Characterizing the set of all Bell inequalities is a notably hard task. An insightful method of solving it in case of Bell correlation inequalities for scenarios with two dichotomic measurements per site - for arbitrary number of parties - was given in Refs. [Phys. Rev. A 64, 010102(R) (2001)] and [Phys. Rev. A 64, 032112 (2001)]. Using complex-valued correlation functions, we generalize their approach to a broader class of Bell scenarios, in which the parties may choose from more than 2 multi-outcome measurements. Although the resulting families of Bell inequalities are not always tight, their coefficients have an intuitively understandable structure.We probe their usefulness by numerically testing their ability to detect Bell nonclassicality in simple interferometric experiments. Moreover, we identify a similar structure in the CGLMP inequality expressed in a correlation-based form, which allows us to generalise it to three parties.
