Steering Majorana braiding via skyrmion-vortex pairs: a scalable platform
arXiv:2110.13983 · doi:10.1103/PhysRevB.105.224509
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.
arXiv comment9 pages, 7 figures
References in corpus (35)
- Fault-tolerant quantum computation by anyons
- Non-Abelian Anyons and Topological Quantum Computation
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Unpaired Majorana fermions in quantum wires
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
- Helical liquids and Majorana bound states in quantum wires
- New directions in the pursuit of Majorana fermions in solid state systems
- Non-abelian statistics of half-quantum vortices in p-wave superconductors
- Observation of room temperature magnetic skyrmions and their current-driven dynamics in ultrathin Co films
- Non-Abelian statistics and topological quantum information processing in 1D wire networks
- Majorana Zero Modes and Topological Quantum Computation
- Realizing Majorana zero modes in superconductor-semiconductor heterostructures
- Introduction to topological superconductivity and Majorana fermions
- Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
- Maintaining coherence in Quantum Computers
- A blueprint for demonstrating quantum supremacy with superconducting qubits
- The properties of isolated chiral skyrmions in thin magnetic films
- Coulomb-assisted braiding of Majorana fermions in a Josephson junction array
- Measurement-Only Topological Quantum Computation
- Majorana box qubits
- Braiding without Braiding: Teleportation-Based Quantum Information Processing with Majorana Zero Modes
- Majorana bound states in magnetic skyrmions
- Search for non-Abelian Majorana braiding statistics in superconductors
- Synthetic spin orbit interaction for Majorana devices
- Composite Topological Excitations in Ferromagnet-Superconductor Heterostructures
- Majorana bound states in magnetic skyrmions imposed onto a superconductor
- Skyrmion-(Anti)Vortex Coupling in a Chiral Magnet-Superconductor Heterostructure
- Interaction of Skyrmions and Pearl Vortices in Superconductor-Chiral Ferromagnet Heterostructures
- Braiding Majorana Fermions and Creating Quantum Logic Gates with Vortices on a Periodic Pinning Structure
- Vortex states and Majorana fermions in spin-orbit coupled semiconductor-superconductor hybrid structures
- Interaction of a Neel-type skyrmion and a superconducting vortex
- Local Adiabatic Mixing of Kramers Pairs of Majorana Bound States
- Transport Signatures of a Majorana Qubit and Read-out-induced Dephasing
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- 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