论文标题
具有量子状态有限副本的有效有效纠缠验证
Valid and efficient entanglement verification with finite copies of a quantum state
论文作者
论文摘要
在多部分量子状态下检测纠缠是一个固有的概率过程,通常是一些测量的样品。纠缠检测的置信度水平通过信号来自可分离状态的概率量化了该方案的有效性,为大数据集提供了有意义的优点数字。但是,对于限制样本,避免实验数据误解不仅需要考虑可分离状态的概率,而且还需要信号来自纠缠状态的概率,即检测方案的效率。我们明确地证明了这一点,并应用了一种通用方法来优化小型数据集中的有效性和效率,从而提供最多使用20个状态副本的示例。该方法基于有限统计的分析模型对相关函数的影响,该模型既考虑一种常见主义者和贝叶斯方法,并且适用于任意纠缠证人。
Detecting entanglement in multipartite quantum states is an inherently probabilistic process, typically with a few measured samples. The level of confidence in entanglement detection quantifies the scheme's validity via the probability that the signal comes from a separable state, offering a meaningful figure of merit for big datasets. Yet, with limited samples, avoiding experimental data misinterpretations requires considering not only the probabilities concerning separable states but also the probability that the signal came from an entangled state, i.e. the detection scheme's efficiency. We demonstrate this explicitly and apply a general method to optimize both the validity and the efficiency in small data sets providing examples using at most 20 state copies. The method is based on an analytical model of finite statistics effects on correlation functions which takes into account both a Frequentist as well as a Bayesian approach and is applicable to arbitrary entanglement witnesses.