量子态纹理动力学：理论与实验

中文摘要 AI 辅助

量子态纹理（QST）已在量子基础、计算及量子临界性等多个领域得到应用，但目前仍缺乏适用于任意物理过程的QST动力学通用理论，这限制了其实际应用与实验探索。本文证明，量子态纹理对任意有限维信道的响应完全编码于单个参考态的对偶演化中，该描述给出了纹理保持的充要条件，并暗示其在所有自由幺正动力学下严格守恒。我们利用核磁共振量子处理器，在不同信道类别中实验验证了这些预测，还表明局域QST测量可作为电路层中纠缠门的操作特征。研究结果确立了量子态纹理作为量子信息处理中的资源与实用诊断工具的地位。

英文摘要

Quantum-state texture (QST) has found applications in several fields from quantum foundations and computation to quantum criticality. However, a general theory of QST dynamics under arbitrary physical processes remains unavailable, limiting both its practical application and experimental exploration. Here, we demonstrate that the QST response to an arbitrary finite-dimensional channel is fully encoded in the dual evolution of a single reference state. This description yields necessary and sufficient conditions for texture preservation and implies exact conservation under all free-unital dynamics. Using a nuclear magnetic resonance quantum processor, we experimentally verify these predictions across distinct channel classes. Furthermore, we show that local QST measurements provide an operational signature of entangling gates in circuit layers. Our results establish quantum-state texture as a resource and a practical diagnostic tool in quantum information processing.

发表机构

• Universidade Federal do ABC（阿巴克联邦大学）
• Southern University of Science and Technology（南方科技大学）
• Quantum Science Center of Guangdong-HongKong-Macao Greater Bay Area（粤港澳大湾区量子科学中心）
• Universidade Federal de Pernambuco（伯南布哥联邦大学）

机构由 AI 辅助整理，请以论文原文为准。