论文标题
通过神经网络证明未知的真实多部分纠缠
Certifying Unknown Genuine Multipartite Entanglement by Neural Networks
论文作者
论文摘要
假设我们有一个未知的多部分量子状态,我们如何在实验上找出它是否是真正的多部分纠缠?回想一下,即使对于已知密度矩阵的两分量量子状态,确定它是否纠缠的np量也已经是np-hard。因此,通常很难有效地解决上述问题。但是,由于真正的多部分纠缠是一个基本的概念,在多体物理学和量子信息处理任务中起着至关重要的作用,因此无疑找到现实的方法来证明真正的多部分纠缠。在这项工作中,我们表明神经网络可以为此问题提供一个不错的解决方案,其中通过用局部测量设备测量涉及量子状态而产生的测量统计数据是神经网络的输入特征。通过在许多特定的多部分量子状态下测试我们的模型,我们表明它们可以非常准确地证明真正的多方纠缠,甚至还包括一些以前未知的新结果。我们还通过减少功能的大小来提高模型效率的可能方法。最后,我们表明我们的模型对测量设备中的缺陷具有出色的鲁棒性,这意味着它们非常友好。
Suppose we have an unknown multipartite quantum state, how can we experimentally find out whether it is genuine multipartite entangled or not? Recall that even for a bipartite quantum state whose density matrix is known, it is already NP-Hard to determine whether it is entangled or not. Therefore, it is hard to efficiently solve the above problem generally. However, since genuine multipartite entanglement is such a fundamental concept that plays a crucial role in many-body physics and quantum information processing tasks, finding realistic approaches to certify genuine multipartite entanglement is undoubtedly necessary. In this work, we show that neural networks can provide a nice solution to this problem, where measurement statistics data produced by measuring involved quantum states with local measurement devices serve as input features of neural networks. By testing our models on many specific multipartite quantum states, we show that they can certify genuine multipartite entanglement very accurately, which even include some new results unknown before. We also exhibit a possible way to improve the efficiency of our models by reducing the size of features. Lastly, we show that our models enjoy remarkable robustness against flaws in measurement devices, implying that they are very experiment-friendly.