标题： 测量不兼容性与Bell非定域性：一种张量范数的方法 显示英文标题

标题： Measurement incompatibility vs. Bell non-locality: an approach via tensor norms

摘要： 测量不兼容性和量子非局域性是量子理论的两个关键特性。贝尔不等式的违背需要量子纠缠以及所涉及两方使用的测量的不兼容性。我们分析了相反的问题：对于哪些贝尔不等式而言，测量的不兼容性足以确保量子违背？我们通过比较二分类量子测量空间上的两种张量范数来关联这两个问题：一种描述测量兼容性，另一种描述给定贝尔不等式的违背。我们在描述相关贝尔不等式的矩阵形式下提供了这两种概念等价的充分条件。我们证明CHSH不等式及其变体是唯一满足这一条件的不等式。 显示英文摘要

摘要： Measurement incompatibility and quantum non-locality are two key features of quantum theory. Violations of Bell inequalities require quantum entanglement and incompatibility of the measurements used by the two parties involved in the protocol. We analyze the converse question: for which Bell inequalities is the incompatibility of measurements enough to ensure a quantum violation? We relate the two questions by comparing two tensor norms on the space of dichotomic quantum measurements: one characterizing measurement compatibility and the second one characterizing violations of a given Bell inequality. We provide sufficient conditions for the equivalence of the two notions in terms of the matrix describing the correlation Bell inequality. We show that the CHSH inequality and its variants are the only ones satisfying it.