Implementation of Topological Quantum Gates in Magnet-Superconductor Hybrid Structures

Abstract

The creation of topological quantum gates using Majorana zero modes -- an outstanding problem in the field of topological quantum computing -- relies on our ability to control the braiding process of these particles in time and space. Here, we propose two-dimensional magnet-superconductor hybrid structures as a new platform for the successful implementation of topologically protected √σz-, σz- and σx-quantum gates using Majorana zero modes. We utilize a braiding protocol that makes use of recent advances in the ability to control the spin of individual atoms using electron-spin-resonance techniques. We visualize the braiding process in time and space by computing the non-equilibrium local density of states, which is proportional to the time-dependent differential conductance measured in scanning tunneling spectroscopy experiments.