论文标题
概括最佳的铃铛不平等现象
Generalizing optimal Bell inequalities
论文作者
论文摘要
贝尔不平等是研究非局部相关性及其在量子信息处理中的应用的中心工具。但是，由于表征局部相关性集的计算复杂性，很难识别许多粒子或测量值的不平等现象。我们开发了一种在约束下表征贝尔不平等的方法，可以通过对称或其他线性条件给出。这允许系统地搜索给定给更多各方的贝尔不等式的概括。例如，我们发现Froissart [Il Nuovo Cimento B64，241（1981）]（也称为I3322不等式）对两粒子不等式的所有可能概括。对于这些不平等的最简单性，我们研究了它们的量子机械性能，并证明它们是相关的，从某种意义上说，它们检测到量子状态的非局部性，所有两设定的不等式都无法做到这一点。
Bell inequalities are central tools for studying nonlocal correlations and their applications in quantum information processing. Identifying inequalities for many particles or measurements is, however, difficult due to the computational complexity of characterizing the set of local correlations. We develop a method to characterize Bell inequalities under constraints, which may be given by symmetry or other linear conditions. This allows to search systematically for generalizations of given Bell inequalities to more parties. As an example, we find all possible generalizations of the two-particle inequality by Froissart [Il Nuovo Cimento B64, 241 (1981)], also known as I3322 inequality, to three particles. For the simplest of these inequalities, we study their quantum mechanical properties and demonstrate that they are relevant, in the sense that they detect nonlocality of quantum states, for which all two-setting inequalities fail to do so.
