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Texas A&M University
Mathematics

Noncommutative Geometry Seminar

Spring 2025

 

Date:January 16, 2025
Time:3:00pm
Location:BLOC 628
Speaker:Liyuan Chen, Harvard University
Title:Universal Circuit Set using the S3 Quantum Double
Abstract:Topological quantum computation with non-Abelian anyons offers a promising path toward fault-tolerant universal quantum computation. However, the practical realization of such a system remains challenging due to the difficulty of finding suitable topological materials. In this work, we provide a comprehensive blueprint for constructing a large-scale quantum computer based on the quantum double model $\mathcal{D}(S_3)$, a specific non-Abelian topological order. We implement logical computations using quantum circuits on qubits and qutrits, including a single non-Clifford gate, compatible with near-term quantum devices. This work bridges the gap between abstract mathematical frameworks and noise-resilient quantum computation on near-term devices. Our proposal offers a promising path to realize an anyon-based quantum computer.

Date:March 21, 2025
Time:4:00pm
Location:BLOC 302
Speaker:Demetre Kazaras, Michigan State University
Title:TBA (joint with Geometry Seminar)

Date:March 24, 2025
Time:2:00pm
Location:BLOC 628
Speaker:Thorsten Hertl, University of Melbourne
Title:TBA

Date:March 26, 2025
Time:2:00pm
Location:BLOC 302
Speaker:Xuan Yao, Cornell University
Title:TBA

Date:April 9, 2025
Time:2:00pm
Location:BLOC 302
Speaker:Gennadi Kasparov, Vanderbilt University
Title:TBA

Date:April 10, 2025
Time:4:00pm
Location:TBA
Speaker:Jintao Deng, University at Buffalo
Title:TBA

Date:April 16, 2025
Time:4:00pm
Location:TBA
Speaker:Dennis Sullivan, Stony Brook University & CUNY
Title:TBA (Frontiers in Mathematics)