论文标题
测量不兼容性与贝尔非本地性：通过张量规范的方法
Measurement incompatibility vs. Bell non-locality: an approach via tensor norms
论文作者
论文摘要
测量不兼容和量子非局部性是量子理论的两个关键特征。违反贝尔的不平等需要量子纠缠，并不兼容协议中涉及的两方所使用的测量结果。我们分析了相反的问题：对于哪种铃铛不平等，测量的不兼容性足以确保违反量子？我们通过在二分法量子测量空间上比较两个张量规范来联系这两个问题：一个表征测量兼容性的表征和第二个表征违反给定贝尔不平等的违规行为。我们提供了足够的条件，可以根据描述相关性不平等的矩阵的两个概念的等效性。我们表明，CHSH不平等及其变体是唯一满足它的不平等。
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.
