  Topological quantum computation has been extensively studied due to its
robustness against decoherence. A conventional way to realize it is by
adiabatic operations---it requires relatively long time to accomplish so that
the speed of quantum computation slows down. In this work, we present a method
to realize topological quantum computation by periodic driving. Compared to the
adiabatic evolution, the total operation time can be regulated arbitrarily by
the amplitude and frequency of the periodic driving. For the sinusoidal
driving, we give an expression for the total operation time in the
high-frequency limit. For the square wave driving, we derive an exact
analytical expression for the evolution operator without any approximations,
and show that the amplitude and frequency of driving field depend on its period
and total operation time. This could provide a new direction in regulations of
the operation time in topological quantum computation.
