Beijing Institute of Mathematical Sciences and Applications

Zhengwei Liu

Yu-An Chen

Friday, March 1, 2024 4:00 PM - 5:00 PM

Shuangqing-A626

Tencent 712 6088 8756 ()

This talk focuses on the simulation of fermionic systems on arbitrary graphs, including two-dimensional lattices. We start by examining the one-dimensional Jordan-Wigner transformation and its expansion to two-dimensional exact bosonization. This method is crucial for simulating fermions using emergent fermions in the ℤ2 toric code. We then discuss how fermionic observables and Pauli matrices can be interconnected through locality-preserving mappings. We show that all fermion-to-qubit mappings are achievable from the two-dimensional exact bosonization by applying Clifford circuits. Furthermore, our exploration includes ℤ2 lattice gauge theories and Pauli stabilizer codes, where we propose new methods to improve the code distances of stabilizer codes in fermion simulations on a two-dimensional lattice without decreasing the fermionic code rate. We modify the Bravyi-Kitaev Superfast simulation (BKSF) and demonstrate its error-correcting properties on various two-dimensional lattices. This talk provides a detailed and accessible overview of the current state of fermion simulation, bosonization techniques, and quantum error correction, demonstrating their importance in quantum computing.

Yu-An Chen is an Assistant Professor at the Quantum Materials Science Center, School of Physics, Peking University. He graduated from the Massachusetts Institute of Technology (MIT) in June 2015, earning bachelor's degrees in mathematics and physics. In June 2020, he completed his Ph.D. in physics at the California Institute of Technology (Caltech). He previously worked as a research scientist on the Quantum AI team at Google. From September 2020 to June 2023, he was the JQI postdoctoral fellow at the University of Maryland, College Park. In July 2023, he joined the School of Physics at Peking University.