Seminar: Paul Webster, University of Sydney
Fault-Tolerant Quantum Gates with Defects in Topological Stabiliser Codes
The potential and limitations of braiding defects in topological stabiliser codes, as a promising approach to fault-tolerant quantum computing.
An example of a braiding process where one loop-like defect is braided around another loop-like defect
Image: Paul Webster and Stephen D. Bartlett
Title: Fault-Tolerant Quantum Gates with Defects in Topological Stabiliser Codes
Presenter: Paul Webster, University of Sydney
Abstract:
Braiding defects in topological stabiliser codes has been widely studied as a promising approach to fault-tolerant quantum computing. Here, we explore the potential and limitations of such schemes in codes of all spatial dimensions. In particular, we demonstrate two examples of braiding schemes that allow for the full Clifford group in higher dimensional codes, specifically in self-dual surface codes and the three-dimensional Levin-Wen Fermion Model.
However, we also show that braiding defects cannot be sufficient to realise a universal gate set in any topological stabiliser code, even when supplemented by locality-preserving logical operators. If time permits, we will explore how this no-go result may be circumvented by presenting an example of a scheme that combines defect braiding and locality-preserving operators with adaptive implementation of operators conditional on logical measurement outcomes.
Hosted by: UTS Centre for Quantum Software and Information
