Necessary and sufficient criterion for extremal quantum correlations in the simplest Bell scenario
Necessary and sufficient criterion for extremal quantum correlations in the simplest Bell scenario
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DOI：
10.1103/physreva.97.050102
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发表时间：
2017-12
影响因子：
2.9
通讯作者：
S. Ishizaka
中科院分区：
文献类型：
--
作者：
S. Ishizaka
在量子非定域性的研究中，一个障碍是即使在最简单的Bell情形下，也还没有给出识别量子关联和后量子关联之间边界的分析标准。我们提出了一个合理的、解析的、充要的条件，确保在最简单的情况下，非局域量子关联是一个极值边界点。我们的极值条件相当于证明了一个信息论的量；猜测使用任何量子仪器优化的远方的测量结果的概率。我们证明了这个量可以以一种与设备无关的方式从任何关联中得到上下界，并且我们使用数值计算来确认上下界的重合对于极值来说是必要的和充分的。
In the study of quantum nonlocality, one obstacle is that the analytical criterion for identifying the boundaries between quantum and postquantum correlations has not yet been given, even in the simplest Bell scenario. We propose a plausible, analytical, necessary and sufficient condition ensuring that a nonlocal quantum correlation in the simplest scenario is an extremal boundary point. Our extremality condition amounts to certifying an information-theoretical quantity; the probability of guessing a measurement outcome of a distant party optimized using any quantum instrument. We show that this quantity can be upper and lower bounded from any correlation in a device-independent way, and we use numerical calculations to confirm that coincidence of the upper and lower bounds appears to be necessary and sufficient for the extremality.