推广贝尔不等式的途径
Avenues to generalising Bell inequalities
摘要：
刻画所有贝尔不等式的集合是一个非常困难的任务。参考文献中给出了一种有见地的方法来解决贝尔相关不等式的情况下，每个站点有两个二分法测量-对于任意数量的当事人-。[Phys.Rev.A64，010102（R）（2001）]和[Phys.Rev.A64，032112（2001）]。使用复值的关联函数，我们推广他们的方法，更广泛的一类贝尔的情况下，其中各方可以选择从2个以上的多结果测量。虽然所得到的贝尔不等式族并不总是紧的，但它们的系数具有直观可理解的结构。此外，我们确定了一个类似的结构中的CGLMP不平等表示在一个基于相关性的形式，这使我们能够概括为三方。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
