近日，海南师范大学张廷桂团队研究了量子态织构的测量。相关论文于2025年4月23日发表在《物理评论A》杂志上。

量子态织构是一种新发现的量子资源，随着量子理论的发展而引起了人们的关注。在这项工作中，研究组介绍了几种潜在的量子态织构测量方案，并检查它们是否满足有效量子态织构测量所需的三个基本条件。具体来说，l₁范数引起的测量是量化相干性的重要工具，但研究组证明它不能用于量化量子态织构。此外，研究组发现，虽然相对熵和鲁棒性满足三个基本条件，但它们并不是量化量子态织构的最佳条件。

幸运的是，研究组仍然发现有几种测量方法可以作为量子态织构的测量标准。其中，轨迹距离测量和几何测量是两种很好的测量方案。此外，基于乌尔曼保真度的两种测量方法在实验上是友好的，可以作为非平衡情况下量子态纹理测量的理想定义。所有这些对量子态纹理测量理论的研究都可以丰富量子态纹理的资源理论框架。

附：英文原文

Title: Quantifying quantum-state texture

Author: Yiding Wang, Hui Liu, Tinggui Zhang

Issue&Volume: 2025/04/23

Abstract: Quantum-state texture is a newly recognized quantum resource that has garnered attention with the advancement of quantum theory. In this work, we introduce several potential quantum-state texture measure schemes and check whether they satisfy the three fundamental conditions required for a valid quantum-state texture measure. Specifically, the measure induced by the l1 norm serves as a vital tool for quantifying coherence, but we prove that it cannot be used to quantify quantum-state texture. Furthermore, we show that while relative entropy and robustness meet three fundamental conditions, they are not optimal for quantifying quantum-state texture. Fortunately, we still find that there are several measures that can be used as the measure standard of quantum-state texture. Among them, the trace distance measure and the geometric measure are two good measurement schemes. In addition, the two measures based on Uhlmann's fidelity are experimentally friendly and can serve as an ideal definition of quantum-state texture measures in nonequilibrium situations. All this research on quantum-state texture measure theory can enrich the resource theory framework of quantum-state texture.

DOI: 10.1103/PhysRevA.111.042427

Source: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.111.042427