I am a postdoc at the Centre for the Mathematics of Quantum Theory, University of Copenhagen, hosted by Laura Mančinska. I received my Ph.D. in 2024 from the Institute for Quantum Computing and Department of Pure Mathematics at the University of Waterloo, where I was supervised by William Slofstra. Before that, I obtained my bachelor degree in Mathematics and Applied Mathematics from Zhejiang University in 2019, under the supervision of Junde Wu. I also spent a semester at Rice University as an undergraduate exchange student (2017).

Research interests

I am broadly interested in the mathematics of quantum information and computation. In the past, I have worked on approximate representation theory and its applications in quantum self-testing, delegation of quantum computation, quantum complexity, and decidability in operator algebras. You can find my PhD thesis here.

Teaching

  • MATH 225 Applied Linear Algebra Spring 2024, UWaterloo

Publications and Preprints

  1. Robust self-testing for nonlocal games with robust game algebras
    arXiv.2411.03259
  2. Postselection technique for optical QKD with improved de Finetti theorems
    Joint work with Shlok Nahar, Devashish Tupkary, Norbert Lütkenhaus, and Ernest Y.-Z. Tan
    Published in PRX Quantum. Talk at Qcrypt 2024. arXiv.2403.11851
  3. Positivity is undecidable in tensor-product of free algebras
    Joint work with Arthur Mehta and William Slofstra
    arXiv.2312.05617
  4. Quantum delegation with an off-the-shelf device
    Joint work with Anne Broadbent and Arthur Mehta
    Talk at Qcrypt 2023 [video]. Talk at TQC 2024 [video]. arXiv.2304.03448
  5. An operator-algebraic formulation of self-testing
    Joint work with Connor Paddock, William Slofstra, and Yangchen Zhou
    Published in Annales Henri Poincaré. Talk at QIP 2023 [video]. arXiv.2301.11291

Talks and Presentations

  • Robust self-testing for games with nice algebras
    1. Nov 06, 2024 Academy of Mathematics and System Sciences, CAS, Beijing (virtual)
  • Positivity, sum of squares, and decision problems in quantum information
    1. Mar 05, 2024 Nonlocal Games Seminar, University of Copenhagen (virtual)
    2. Jan 25, 2024 Institute for Theoretical Physics, University of Innsbruck, Austria (virtual)
    3. Jan 11, 2024 QICI, Hong Kong University, Hong Kong
    4. Jan 03, 2024 TCS seminar, Nanjing University, Nanjing
    5. Dec 22, 2023 Computer Science Seminar, Tsinghua University, Beijing
    6. Dec 20, 2023 Academy of Mathematics and System Sciences, CAS, Beijing
    7. Nov 28, 2023 Math Seminar, Zhejiang University, Hangzhou (virtual)
    8. Nov 23, 2023 PMath Analysis Seminar, University of Waterloo
    9. Sep 21, 2023 Academy of Mathematics and System Sciences, CAS, Beijing (virtual)
    10. Aug 09, 2023 IQC Student Seminar, University of Waterloo
    11. Jul 21, 2023 QuSoft Seminar, CWI, Amsterdam, Netherlands
    12. Sep 30, 2022 PMATH Graduate Student Seminar, University of Waterloo
    13. Mar 18, 2022 Quantum Cryptography Seminar, University of Ottawa (virtual)
  • Quantum delegation with an off-the-shelf device
    1. Sep 12, 2024 TQC, Okinawa, Japan
    2. Jun 22, 2023 IQC CS/MATH Seminar, University of Waterloo
    3. May 16, 2023 IQC Graduate Student Conference, University of Waterloo
  • An operator-algebraic formulation of self-testing
    1. Jul 27, 2023 Analytical and Combinatorial Methods in Quantum Information Theory II Workshop, ICMS, Edinburgh, UK
    2. Jul 12, 2023 SIAM Applied Algebraic Geometry Conference, Eindhoven, Netherlands
    3. Mar 21, 2023 Nonlocal Games Seminar, University of Copenhagen (virtual)
    4. Mar 09, 2023 PMath Analysis Seminar, University of Waterloo
    5. Feb 09, 2023 Quantum Information Processing 2023, Ghent, Belgium
    6. Dec 02, 2022 Canadian Mathematical Society Winter Meeting, Toronto, Canada
  • An introduction to quantum self-testing
    1. Oct 16, 2023 SLMath workshop: MIP* = RE and the Connes’ Embedding Problem, Berkeley, CA
    2. Jun 02, 2023 Tutorial talk at the Canadian Mathematical Society Summer Meeting, Ottawa