标题： 测量不相容性与贝尔非定域性：通过张量范数的方法 显示英文标题

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

摘要： 测量不相容性和量子非定域性是量子理论的两个关键特征。 违反贝尔不等式需要量子纠缠以及协议中双方所使用测量的不相容性。 我们分析了相反的问题：对于哪些贝尔不等式，测量的不相容性足以保证量子违反？ 我们通过比较二值量子测量空间上的两种张量范数来联系这两个问题：一种表征测量相容性，另一种表征给定贝尔不等式的违反。 我们以描述相关贝尔不等式的矩阵为基础，提供了两种概念等价的充分条件。 我们证明只有CHSH不等式及其变体满足这一条件。 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.