Braiding and fusion of non-Abelian vortex anyons

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.

arXiv comment16 pages, 3 figures, 6 supplementary figures; added details of the H-charge, J. K. Slingerland added to author list

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• Topological Quantum Gates in Homotopy Type Theory
• Topological Superfluid Defects with Discrete Point Group Symmetries
• The Peripheral Vortex Biome of Confined Quantum Fluids and Its Influence on Vortex Pair Annihilation
• Geometric phases of a vortex in a superfluid
• Topological interfaces crossed by defects and textures of continuous and discrete point group symmetries in spin-2 Bose-Einstein condensates
• Symmetry classification of uniform states in spin-2 Bose-Einstein condensates and neutron ${}^3{P}_2$ superfluids
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