Implementing non-Clifford operations with the aid of non-Abelian codes

Abstract: In universal fault-tolerant quantum computing, implementing logical non-Clifford gates often demands substantial spacetime resources for many error-correcting codes, including the high-threshold surface code. In this talk, I will explore two strategies of implementing logical non-Clifford operations in the surface code with the aid of non-Abelian topological order. The first method produces a logical magic state through transformations of topological codes, including a non-Abelian code at an intermediate stage, which bypasses the need for the resource-intensive distillation procedure. In the second approach, we generalize the standard lattice surgery to hybrid lattice surgery, where operations of rough merge and rough split happen across different topological codes. Such operations are applied between Abelian and non-Abelian codes, which can provide non-Clifford operations in the standard surface code, in the form of a magic state or a non-Clifford gate teleportation.

Yanzhu Chen

Assistant Professor, Physics

Florida State University

Speaker Bio: Yanzhu Chen is an Assistant Professor in the Department of Physics at FSU. Her research interests include quantum error correction and error mitigation, quantum algorithms and quantum simulation. She received her PhD degree from Stony Brook University and was a postdoctoral researcher at Virginia Tech before joining FSU.