  Holonomic quantum computation (HQC) may not show its full potential in
quantum speedup due to the prerequisite of a long coherent runtime imposed by
the adiabatic condition. Here we show that the conventional HQC can be
dramatically accelerated by using external control fields, of which the
effectiveness is exclusively determined by the integral of the control fields
in the time domain. Remarkably this control scheme can be realized with net
zero energy cost and it is fault-tolerant against fluctuation and noise,
significantly relaxing the experimental constraints. We demonstrate how to
realize the scheme via decoherence-free subspaces. In this way we unify quantum
robustness merits of this fault-tolerant control scheme, the conventional HQC
and decoherence-free subspace, and propose an {\em expedited} holonomic quantum
computation protocol.
