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
- Robust self-testing for nonlocal games with robust game algebras
arXiv.2411.03259 - 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 - Positivity is undecidable in tensor-product of free algebras
Joint work with Arthur Mehta and William Slofstra
arXiv.2312.05617 - 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 - 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
- Nov 06, 2024 Academy of Mathematics and System Sciences, CAS, Beijing (virtual)
- Positivity, sum of squares, and decision problems in quantum information
- Mar 05, 2024 Nonlocal Games Seminar, University of Copenhagen (virtual)
- Jan 25, 2024 Institute for Theoretical Physics, University of Innsbruck, Austria (virtual)
- Jan 11, 2024 QICI, Hong Kong University, Hong Kong
- Jan 03, 2024 TCS seminar, Nanjing University, Nanjing
- Dec 22, 2023 Computer Science Seminar, Tsinghua University, Beijing
- Dec 20, 2023 Academy of Mathematics and System Sciences, CAS, Beijing
- Nov 28, 2023 Math Seminar, Zhejiang University, Hangzhou (virtual)
- Nov 23, 2023 PMath Analysis Seminar, University of Waterloo
- Sep 21, 2023 Academy of Mathematics and System Sciences, CAS, Beijing (virtual)
- Aug 09, 2023 IQC Student Seminar, University of Waterloo
- Jul 21, 2023 QuSoft Seminar, CWI, Amsterdam, Netherlands
- Sep 30, 2022 PMATH Graduate Student Seminar, University of Waterloo
- Mar 18, 2022 Quantum Cryptography Seminar, University of Ottawa (virtual)
- Quantum delegation with an off-the-shelf device
- Sep 12, 2024 TQC, Okinawa, Japan
- Jun 22, 2023 IQC CS/MATH Seminar, University of Waterloo
- May 16, 2023 IQC Graduate Student Conference, University of Waterloo
- An operator-algebraic formulation of self-testing
- Jul 27, 2023 Analytical and Combinatorial Methods in Quantum Information Theory II Workshop, ICMS, Edinburgh, UK
- Jul 12, 2023 SIAM Applied Algebraic Geometry Conference, Eindhoven, Netherlands
- Mar 21, 2023 Nonlocal Games Seminar, University of Copenhagen (virtual)
- Mar 09, 2023 PMath Analysis Seminar, University of Waterloo
- Feb 09, 2023 Quantum Information Processing 2023, Ghent, Belgium
- Dec 02, 2022 Canadian Mathematical Society Winter Meeting, Toronto, Canada
- An introduction to quantum self-testing
- Oct 16, 2023 SLMath workshop: MIP* = RE and the Connes’ Embedding Problem, Berkeley, CA
- Jun 02, 2023 Tutorial talk at the Canadian Mathematical Society Summer Meeting, Ottawa