报告时间：2025年11月20日 上午9:30-10:30

报告地点：物质科研楼A309会议室 Room A309 Material Science Building

报告人：  李俊 教授   深圳大学

报告题目/Title:Continuous Unitary Designs for Universally Robust Quantum Control

摘要/Abstract:

Unitary designs are vital for investigating quantum randomness in both theory (e.g., studying quantum chaos and entanglement) and practice (e.g., benchmarking, error correction). However, existing studies has focused on discrete unitary designs (e.g., Pauli or Clifford group). This overlooks the prevalence of continuous ensembles, which arise naturally in many physical contexts including quantum chaos and quantum control. We initiate the study of continuous unitary designs (CUD). We address two immediate and fundamental questions. First, how can CUDs be constructed? We employ geometrical and topological theory to establish a general framework for constructing CUD paths in the unitary group of arbitrary dimension. We present interesting examples of CUD paths with nice geometric properties. Second, what are their practical uses? We apply our CUD to solve the problem of universally robust control. We obtained analytical control solution that can mitigate arbitrary unknown static noise. Simulations confirm its better performance over conventional techniques  like composite pulses and dynamical decoupling. Hence it may be added to the standard control toolbox for coherent quantum engineering. Our work extends the scope of research of unitary designs from the discrete to the continuous domain. This opens several avenues for future investigation, including their applications in quantum decoupling, sensing, and learning, as well as experimental realizations.

报告人简介/Curriculum Vitae:

 李俊，深圳大学，教授、博士生导师。2015年毕业于中科大近代物理系，获得物理博士学位，2018年加入南方科技大学量子科学与工程研究院，2023年进入深圳大学物理与光电工程学院。长期从事量子控制方向的研究工作，主要包括：（1）量子控制的理论方法研究；（2）量子控制在量子计算、量子精密测量中的应用研究。迄今在国际物理期刊发表论文近50篇，并主持了国家和省市级科研项目共8项。