Changpeng Shao (邵长鹏)

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.)

Research interests: quantum computation and symbolic computation

My research aims to better understand the power of quantum computers. I am especially interested in quantum algorithms, quantum query and communication 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, randomized numerical linear algebra.

"If you can't do great things, do small things in a great way." --- Napoleon Hill

Feel free to contact if you want to study quantum computing with me: as a postdoc, or a graduate student. I also have funding for academic visitors.

Papers

Google Scholar, arXiv, Some talks, Full list of paper, the following is a list of preprints

1. Worst-case Harrow-Hassidim-Lloyd algorithm with average-case correct quantum Fourier transform
   with Noah Linden
   to appear
   

2. Lower bounds analysis of quantum-inspired classical algorithms and quantum query algorithms through communication complexity
   with Nikhil S. Mande
   to appear
   

3. Quantum and query complexities of functions of matrices
   with Ashley Montanaro
   QIP 2024
   arXiv:2311.06999

4. Testing quantum satisfiability
   with Ashley Montanaro, Dominic Verdon
   QIP 2024
   arXiv:2301.10699

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

• Phasecraft is an amazing quantum algorithms company founded by Toby Cubitt, Ashley Montanaro, and John Morton.
• If you want to learn quantum computing, the book "Quantum Computation and Quantum Information" by Nielsen and Chuang is definitely the one you need to read. Note that there is a Chinese translation now. For beginners, this book might be too heavy. There are also some very nice lecture notes that you can use to study quantum computing. I would like to recommend:
  • Quantum Computing: Lecture Notes by Ronald de Wolf.
  • Lecture Notes on Quantum Algorithms by Andrew M. Childs.
• If you are interested in quantum macnhine learning, HERE is a place to go. Have fun.
• Nick Higham's "What is" blog about matrices.
• Terence Tao's "What's new" blog about mathematics.