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) |