I will begin a postdoc position in the Centre for the Mathematics of Quantum Theory at the University of Copenhagen starting this Fall!

I am a Ph.D. candidate in the Institute for Quantum Computing and Department of Pure Mathematics at the University of Waterloo, supervised by William Slofstra. Previously, I received 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 mathematics of quantum information and computation. Current interests include

• Non-local games, multi-prover interactive proofs with entanglement
• Self-testing and applications in delegation of quantum computation
• Operator algebras, approximate representation theory

Publications and preprints

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

Talks and presentations

• 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, Zhejinag Univesity, 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. Jun 22, 2023 IQC CS/MATH Seminar, University of Waterloo
2. 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