Shawn X. Cui
Computer Science · Purdue University West Lafayette
Publications
43
Citations
461
Est. group size
~2
Recurring co-author estimate
Active years
41
Publishing since 1986
Shawn X. Cui works at the intersection of mathematics and quantum physics, studying how abstract algebraic structures (like Hopf algebras and tensor categories) can describe topological phases of matter and enable robust quantum computation. His work includes designing error-correcting quantum codes (such as toric codes and Kitaev models) and exploring mathematical invariants of 3D and 4D shapes (manifolds) derived from quantum algebra. This research bridges pure mathematics with practical questions in topological quantum computing.
Publication output has grown from a low base around 2017-2020 to a steadier pace of roughly 4-7 papers per year since 2021, with continued activity through 2025-2026.
Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026
- Invariants from Involutory Hopf Algebras of 3-Manifolds with Embedded Framed Links
Communications in Mathematical Physics · 2026
- Representing arbitrary ground states of the toric code by a restricted Boltzmann machine
Physical review. B./Physical review. B · 2025
- Twisted Kitaev quantum double model as local topological order
Journal of Mathematical Physics · 2025
- Universal topological quantum computing via double-braiding in SU(2) Witten–Chern–Simons theory
Quantum Information Processing · 2025
- Involutory Hopf group-coalgebras and invariants of flat bundles over 4-manifolds
arXiv (Cornell University) · 2025
- Quantum circuits for toric code and X-cube fracton model
Quantum · 2024
- Generalized Kitaev Spin Liquid Model and Emergent Twist Defect
SSRN Electronic Journal · 2024
- Abelian Group Quantum Error Correction in Kitaev's Model
arXiv (Cornell University) · 2024
- Generalized Kitaev spin liquid model and emergent twist defect
Annals of Physics · 2024
- Floquet Codes from Coupled Spin Chains
arXiv (Cornell University) · 2024
- Twisted Kitaev quantum double model as local topological order
arXiv (Cornell University) · 2024
- Universal topological quantum computing via double-braiding in SU(2) Witten-Chern-Simons theory
arXiv (Cornell University) · 2023
- Combed Trisection Diagrams and Non-Semisimple 4-Manifold Invariants
arXiv (Cornell University) · 2023
- Ribbon operators in the generalized Kitaev quantum double model based on Hopf algebras
Journal of Physics A Mathematical and Theoretical · 2022
- From Three Dimensional Manifolds to Modular Tensor Categories
Communications in Mathematical Physics · 2022
- arXiv (Cornell University)×13
- Communications in Mathematical Physics×3
- Journal of Physics A Mathematical and Theoretical×3
- Physical review. A/Physical review, A×2
- Journal of Mathematical Physics×2
- Shree Hari Sureshbabu
Computer Science · Purdue University West Lafayette
- Manas Sajjan
Computer Science · Purdue University West Lafayette
- Raja Selvarajan
Computer Science · Purdue University West Lafayette
- Kaifeng Bu
Computer Science · The Ohio State University
- Amandeep Singh Bhatia
Computer Science · Purdue University West Lafayette
This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.
Last updated Jul 20, 2026.
Claim or correct this profile