论文标题
基于随机测量的多粒子量子相关的统计学意义测试
Statistically significant tests of multiparticle quantum correlations based on randomized measurements
论文作者
论文摘要
我们考虑基于局部随机测量的有限样本的统计方法，以证明中等规模量子系统中不同程度的多颗粒纠缠。我们首先介绍多Qubit标准的层次结构，该状态可分开相对于不同大小的分区，仅涉及潜在概率分布的第二矩。然后，我们详细分析了实验中估计的统计误差，并提出了几种基于较大偏差界限的统计显着性的方法。后者使我们能够表征多片相关性认证所需的测量资源，并详细分析给定的实验数据。
We consider statistical methods based on finite samples of locally randomized measurements in order to certify different degrees of multiparticle entanglement in intermediate-scale quantum systems. We first introduce hierarchies of multi-qubit criteria, satisfied by states which are separable with respect to partitions of different size, involving only second moments of the underlying probability distribution. Then, we analyze in detail the statistical error of the estimation in experiments and present several approaches for estimating the statistical significance based on large deviation bounds. The latter allows us to characterize the measurement resources required for the certification of multiparticle correlations, as well as to analyze given experimental data in detail.
