  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 $\sqrt{\sigma_z}$-, $\sigma_z$- and $\sigma_x$-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.
