论文标题
贝尔实验的最佳统计分析
Optimal statistical analyses of Bell experiments
论文作者
论文摘要
我们展示了如何通过使用统计偏差与无信号平等的统计偏差来计算较小和更可靠的P值，以在贝尔的S或Eberhard的估计中降低统计噪声。通过使用Wilks的可能性比率测试，基于四个四分法的四个不同设置，可以通过使用Wilks的可能性比率测试来获得进一步的改进。组合。该方法通过在2015年和2016年的无漏洞实验中应用于Delft和Munich，NIST和VIENNA进行。以及Weihs等人的先前因斯布鲁克实验。 （1998年）和张及最近的慕尼黑实验。 （2022），研究使用无漏洞的实验作为设备独立量子键分布的协议的一部分，diqkd。
We show how both smaller and more reliable p-values can be computed in Bell-type experiments by using statistical deviations from no-signalling equalities to reduce statistical noise in the estimation of Bell's S or Eberhard's J. Further improvement is obtained by using Wilks' likelihood ratio test based on the four tetranomially distributed vectors of counts of the four different outcome combinations, one 4-vector for each of the four setting combinations. The methodology is illustrated by application to the loophole-free Bell experiments of 2015 and 2016 performed in Delft and Munich, at NIST, and in Vienna respectively; and also to the earlier Innsbruck experiment of Weihs et al. (1998) and the recent Munich experiment of Zhang et al. (2022), which investigates use of a loophole-free Bell experiment as part of a protocol for Device Independent Quantum Key Distribution, DIQKD.
