2023/02/09 by Bedow, Jasmin, Mascot, Eric, Hodge, Themba +2
#FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Superconductivity (cond-mat.supr-con)
paper · doi:10.48550/arxiv.2302.04889
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 demonstrate the successful implementation of topologically protected √(σz)-, σz- and σx-quantum gates using Majorana zero modes in two-dimensional magnet-superconductor hybrid structures. We propose 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.