The purpose of an entanglement witness experiment is to certify the creation of an entangled state from a finite number of trials. The statistical confidence of such an experiment is typically expressed as the number of observed standard deviations of witness violations. This method implicitly assumes that the noise is well-behaved so that the central limit theorem applies. In this work, we propose two methods to analyze witness experiments where the states can be subject to arbitrarily correlated noise. Our first method is a rejection experiment , in which we certify the creation of entanglement by rejecting the hypothesis that the experiment can only produce separable states. We quantify the statistical confidence by a p -value, which can be interpreted as the likelihood that the observed data is consistent with the hypothesis that only separable states can be produced. Hence a small p -value implies large confidence in the witnessed entanglement. The method ...

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相关噪声实验中的见证纠缠

纠缠见证人实验的目的是通过有限的试验来证明纠缠态的创建。这种实验的统计置信度通常表示为观察到的证人违规标准差的数量。此方法隐式假定噪声行为良好，因此可以应用中心极限定理。在这项工作中，我们提出了两种分析见证实验的方法，其中状态可能会受到任意相关的噪声的影响。我们的第一种方法是拒绝实验，其中我们通过拒绝实验只能产生可分离状态的假设来证明纠缠的产生。我们通过ap值量化统计置信度，这可以解释为观察到的数据与只能产生可分离状态的假设相一致的可能性。因此，较小的p值表示对见证的纠缠有很大的信心。方法 ...