近日，河北师范大学的任丽行与中国科学院物理所的范桁等人合作并取得一项新进展。他们实现了基于广义状态相关熵不确定性关系的多次测量下的多体纠缠检测。相关成果已于2023年5月30日在购机知名学术期刊《物理评论A》上发表。

在多次测量的情况下，该研究团队提出了广义的状态相关熵不确定性关系，并通过考虑不同的测量序列获得了最优的下界。随后，他们将这个不确定性关系应用于目击纠缠，并给出了双体和三体纠缠的实验可达到的下界。这种纠缠检测方法被应用于一维格点上的两粒子物理系统和Greenberger-Horne-Zeilinger（GHZ）-Werner态。结果显示，在非相互无偏基上进行测量时，这种广义的熵不确定性关系在纠缠检测方面优于先前与状态无关的关系。

附：英文原文

Title: Multipartite entanglement detection based on the generalized state-dependent entropic uncertainty relation for multiple measurements

Author: Li-Hang Ren, Yun-Hao Shi, Jin-Jun Chen, Heng Fan

Issue&Volume: 2023/05/30

Abstract: We present the generalized state-dependent entropic uncertainty relations in a multiple measurements setting and the optimal lower bound is obtained by considering different measurement sequences. We then apply this uncertainty relation to witness entanglement and give the experimentally accessible lower bounds on both bipartite and tripartite entanglements. This method of detecting entanglement is applied to a physical system of two particles on a one-dimensional lattice and Greenberger-Horne-Zeilinger (GHZ)-Werner state. It is shown that, for measurements that are not in mutually unbiased bases, this generalized entropic uncertainty relation is superior to the previous state-independent one in entanglement detection. Furthermore, we conduct a demonstration of multipartite entanglement detection of GHZ states up to ten qubits on the Quafu cloud quantum computation platform. Our results might play important roles in detecting multipartite entanglement experimentally.

DOI: 10.1103/PhysRevA.107.052617

Source: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.107.052617