论文标题
相关性受复合测量的约束
Correlations constrained by composite measurements
论文作者
论文摘要
如何理解本质上可以接受的一组相关性是量子理论基础的核心中一个杰出的开放问题。在这里，我们对与设备无关的方法进行了互补的观点，并探讨了物理理论在其测量中受到某些特定约束的限制时可能具有的相关性。我们表明，要求理论表现出{综合}的测量对其一组状态和效应的结构施加了限制的层次结构，这些结构转化为对允许相关本身的约束层次结构。此外，我们重点介绍了一个人需要相关测量的特定情况，该测量值阐明了局部基准测量的均衡。通过提出非线性优化问题以及对其半偏度的放松，我们探讨了这种奇偶校验阅读测量结果对违反贝尔不平等现象的后果。特别是，我们表明，在某些情况下，这种假设具有令人惊讶的强大后果，即，可以恢复Tsirelson的界限。
How to understand the set of correlations admissible in nature is one outstanding open problem in the core of the foundations of quantum theory. Here we take a complementary viewpoint to the device-independent approach, and explore the correlations that physical theories may feature when restricted by some particular constraints on their measurements. We show that demanding that a theory exhibits {a composite} measurement imposes a hierarchy of constraints on the structure of its sets of states and effects, which translate to a hierarchy of constraints on the allowed correlations themselves. We moreover focus on the particular case where one demands the existence of a correlated measurement that reads out the parity of local fiducial measurements. By formulating a non-linear Optimisation Problem, and semidefinite relaxations of it, we explore the consequences of the existence of such a parity reading measurement for violations of Bell inequalities. In particular, we show that in certain situations this assumption has surprisingly strong consequences, namely, that Tsirelson's bound can be recovered.
