Steering Majorana braiding via skyrmion-vortex pairs: a scalable platform

Abstract

Majorana zero modes are quasiparticles that hold promise as building blocks for topological quantum computing. However, the litmus test for their detection, the observation of exotic non-abelian statistics revealed by braiding, has so far eluded experimental efforts. Here we take advantage of the fact that skyrmion-vortex pairs in superconductor-ferromagnet heterostructures harboring Majorana zero modes can be easily manipulated in two spatial dimensions. We adiabatically braid the hybrid topological structures and explicitly confirm the non-abelian statistics of the Majorana zero modes numerically using a self-consistent calculation of the superconducting order parameter. Our proposal of controlling skyrmion-vortex pairs provides the necessary leeway toward a scalable topological quantum computing platform.

9 pages, 7 figures

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Cited by in corpus (11)

• Skyrmion Qubits: Challenges For Future Quantum Computing Applications
• Colloquium: Quantum Properties and Functionalities of Magnetic Skyrmions
• Chiral Spin Textures for Next-Generation Memory and Unconventional Computing
• Chip-Integrated Vortex Manipulation
• Repulsion of a Néel-type skyrmion from a Pearl vortex in thin ferromagnet-superconductor heterostructures
• Spacetime magnetic hopfions: from internal excitations and braiding of skyrmions
• Chirality inversion and radius blow-up of a Néel-type skyrmion by a Pearl vortex
• Visualization of Skyrmion-Superconducting Vortex Pairs in a Chiral-Magnet-Superconductor Heterostructure
• Deformation of a Néel-type Skyrmion in a Weak Inhomogeneous Magnetic Field: Magnetization Ansatz and Interaction with a Pearl Vortex
• Majorana bound state parity exchanges in planar Josephson junctions
• Skyrmionic Schrödinger cat states in monoaxial chiral magnets