Quantum measurement incompatibility does not imply Bell nonlocality
Quantum measurement incompatibility does not imply Bell nonlocality
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DOI：
10.1103/physreva.97.012129
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发表时间：
2018-01-25
影响因子：
2.9
通讯作者：
Brunner, Nicolas
中科院分区：
文献类型：
--
作者：
Hirsch, Flavien;Quintino, Marco Tulio;Brunner, Nicolas
我们讨论了量子测量的不相容性之间的联系，如联合可测性的概念所捕获的，和违反贝尔不等式。具体来说，我们明确提出了一个给定的一组非联合可测量的正算子值测量（POVM）M-A具有以下属性。考虑一个二分Bell测试，其中Alice使用M-A，然后对于任何可能的共享纠缠态rho和Bob执行的任何一组（可能是无限多个）POVM N-B，所得到的统计数据承认一个局部模型，因此永远不会违反任何Bell不等式。这表明量子测量的不相容性并不意味着贝尔非定域性。
We discuss the connection between the incompatibility of quantum measurements, as captured by the notion of joint measurability, and the violation of Bell inequalities. Specifically, we explicitly present a given set of non-jointly-measurable positive-operator-valuemeasures (POVMs) M-A with the following property. Considering a bipartite Bell test where Alice uses M-A, then for any possible shared entangled state rho and any set of (possibly infinitely many) POVMs N-B performed by Bob, the resulting statistics admits a local model and can thus never violate any Bell inequality. This shows that quantum measurement incompatibility does not imply Bell nonlocality in general.