Braiding and fusion of non-Abelian vortex anyons

TL;DR

This paper shows that vortices in spinor Bose-Einstein condensates are non-Abelian anyons and demonstrates their potential for topological quantum computing through numerical braiding and fusion experiments.

Contribution

It introduces a new platform for topological quantum computation using non-Abelian vortex anyons in spinor Bose-Einstein condensates and demonstrates controllable braiding and fusion.

Findings

Vortices in spinor BECs are non-Abelian anyons.

Numerical experiments show controllable braiding and fusion.

Potential for topological quantum information processing.

Abstract

We demonstrate that certain vortices in spinor Bose-Einstein condensates are non-Abelian anyons and may be useful for topological quantum computation. We perform numerical experiments of controllable braiding and fusion of such vortices, implementing the actions required for manipulating topological qubits. Our results suggest that a new platform for topological quantum information processing could potentially be developed by harnessing non-Abelian vortex anyons in spinor Bose-Einstein condensates.