  The Kitaev honeycomb model is a system allowing for experimentally realisable
quantum computation with topological protection of quantum information.
Practical implementation of quantum information processing typically relies on
adiabatic, i.e. slow dynamics. Here we show that the restriction to adiabatic
dynamics can be overcome with optimal control theory, enabled by an extension
of the fermionization of the Kitaev honeycomb model to the time-dependent case.
Moreover we present a quantum control method that is applicable to large
lattice models due to sub-exponential scaling.
