Quantum circuit complexity and unsupervised machine learning of topological order
量子电路复杂性与拓扑序的无监督机器学习
机构 * Department of Physics, University of Michigan, Ann Arbor, Michigan 48109-1040, USA(密歇根大学物理系,安娜堡,密歇根州,48109-1040,美国) ; Center for Quantum Computing, RIKEN, Wako-shi, Saitama 351-0198, Japan(日本理化学研究所量子计算中心,武藏野市,埼玉县,351-0198,日本) ; Department of Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China(浙江科技学院物理系,杭州310018,中国)
AI总结 本文探讨量子电路复杂性作为理解拓扑序无监督机器学习的工具,提出两个定理连接量子路径规划与量子鱼跃复杂度及纠缠生成,展示了基于保真度和纠缠度的相似性度量在量子相变研究中的优越性能。
Comments Updated version; With enriched Supplementary Information; 23 pages; 5 figures. Code is available upon reasonable request, and will be open-sourced along with the publication. Comments are welcome
Journal ref Nature Communications (2026)