CS-1

Changpeng Shao (邵长鹏)

506 Siyuan Building, NO 55 Zhongguancun East Road, Beijing China changpeng.shao@amss.ac.cn
北京市,中关村东路55号,中科院数学院,思源楼-506

Associate Professor, Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences. (Prior to this, I was a research associate at the School of Mathematics, University of Bristol working with Ashley Montanaro and Noah Linden. I received my PhD at the University of Chinese Academy of Sciences.)

Research interests: quantum computation, quantum algorithms, quantum complexity theory and some relevant mathematics

My research aims to better understand the power of quantum computers. I am especially interested in quantum algorithms, quantum query, communication and circuit complexity. I am also interested in symbolic computation, where I use tools from Clifford algebra, computational algebraic geometry, and invariant theory to automated reasoning. Some other interesting research topics include the Kaczmarz method, and randomised numerical linear algebra.

"If you can't do great things, do small things in a great way. Don't wait for great opportunities. Seize common, everyday ones and make them great." --- Napoleon Hill

Students

  • Yuxin Zhang (张宇欣):2023.10-

    Papers

    Google Scholar, arXiv, Some talks, A full list of publications, the following is a list of preprints

    1. Exponential Lindbladian fast forwarding and exponential amplification of certain Gibbs state properties
      with Zhong-Xia Shang and Dong An
      arXiv:2509.09517

    2. Quantum singular value transformation without block encodings: Near-optimal complexity with minimal ancilla
      with Shantanav Chakraborty, Soumyabrata Hazra, Tongyang Li, Xinzhao Wang, Yuxin Zhang
      arXiv:2504.02385

    3. Low-degree approximation of QAC0 circuits
      with Ashley Montanaro, Dominic Verdon
      arXiv:2411.00976 (withdrawn)
      There is a bug in the paper that will take some time to fix.

    4. Quantum spectral method for gradient and Hessian estimation
      with Yuxin Zhang
      arXiv:2407.03833

    5. Quantum speedup of leverage score sampling and its application
      arXiv:2301.06107

    6. Quantum algorithms for spectral sums
      with Alessandro Luongo
      arXiv:2011.06475

    Quantum and beyond

    Visiting scholars (访问学者)