Qubits based on merons in magnetic nanodisks

Abstract

Merons and skyrmions are classical topological solitons. However, they will become quantum mechanical objects when their sizes are of the order of nanometers. Recently, quantum computation based on nanoscale skyrmions was proposed. Here, we propose to use a nanoscale meron in a magnetic nanodisk as a qubit, where the up and down directions of the core spin are assigned to be the qubit states $|0⟩$ and $|1⟩$. First, we show numerically that a meron with the radius containing only $7$ spins can be stabilized in a ferromagnetic nanodisk classically. Then, we show theoretically that universal quantum computation is possible based on merons by explicitly constructing the arbitrary phase-shift gate, the Hadamard gate, and the CNOT gate. They are executed by magnetic field or electric current. It would serve as a qubit with long coherence time as a remnant of topological stability from its classical counterpart.

8 pages, 6 figures

References in corpus (10)

• Spontaneous Skyrmion Ground States in Magnetic Metals
• Physical foundations and basic properties of magnetic skyrmions
• Magnetic Skyrmion Bundles and Their Current-Driven Dynamics
• Skyrmion Qubits: A New Class of Quantum Logic Elements Based on Nanoscale Magnetization
• Polarisation selective magnetic vortex dynamics and core reversal in rotating magnetic fields
• Universal quantum computation based on nanoscale skyrmion helicity qubits in frustrated magnets
• Vortex polarity switching by a spin--polarized current
• Two-dimensional characterization of three-dimensional magnetic bubbles in Fe${}_3$Sn${}_2$ nanostructures
• Switching of the vortex polarity in a magnetic nanodisk by a DC current
• A strategy for the design of skyrmion racetrack memories

Cited by in corpus (12)

• Quantum computing on magnetic racetracks with flying domain wall qubits
• Bimerons create bimerons: proliferation and aggregation induced by currents and magnetic fields
• Materials for Quantum Technologies: a Roadmap for Spin and Topology
• Quantum spin helices more stable than the ground state: onset of helical protection
• Writing and detecting topological charges in exfoliated Fe${}_{5-x}$GeTe${}_2$
• A proposal for skyrmion-based diode-like device in antiferromagnetic nanostripe
• Universal quantum computing based on magnetic domain wall qubits
• Universal quantum computation based on Nano-Electro-Mechanical Systems
• Reversible magnetic domain reorientation induced by magnetic field pulses with fixed direction
• Universal quantum computer based on Carbon Nanotube Rotators
• Hybrid Skyrmions in Magnetic Multilayer Thin Films are Half-Integer Hopfions
• Skyrmionic qubits stabilized by Dzyaloshinskii-Moriya interaction as platforms for qubits and quantum gates