近日，西南交通大学的罗明星及其研究小组与首都师范大学的费少明合作并取得一项新进展。经过不懈努力，他们实现具有自适应间隙的多粒子纠缠分类。相关研究成果已于2024年6月20日在国际知名学术期刊《物理评论A》上发表。

该研究团队建立了纠缠的几何度量与自适应间隙之间的直接关系。他们证明，在随机局部操作和经典通信（SLOCC）等价下的每一类量子态，其所有边际自向间隙会构成一个凸多面体。进一步地，研究人员引入了多方自适应间隙指标的概念，并基于此提出了一种优化的SLOCC纠缠分类准则。

据悉，量子多粒子纠缠的存在意味着存在一个被称为自适应间隙的热力学量，它被定义为系统中最大的全局可提取功与局部可提取功之间的差。

附：英文原文

Title: Multiparticle entanglement classification with the ergotropic gap

Author: Xue Yang, Yan-Han Yang, Shao-Ming Fei, Ming-Xing Luo

Issue&Volume: 2024/06/20

Abstract: The presence of quantum multipartite entanglement implies the existence of a thermodynamic quantity known as the ergotropic gap, which is defined as the difference between the maximal global and local extractable works from the system. We establish a direct relation between the geometric measure of entanglement and the ergotropic gaps. We show that all the marginal ergotropic gaps form a convex polytope for each class of quantum states that are equivalent under stochastic local operations and classical communication (SLOCC). We finally introduce the concept of multipartite ergotropic gap indicators and use them to present a refined criterion for classifying entanglement under SLOCC.

DOI: 10.1103/PhysRevA.109.062427

Source: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.109.062427