  The robustness to different sources of error of the scheme for non-adiabatic
holonomic gates proposed in [New J. Phys. {\bf 14}, 103035 (2012)] is
investigated. Open system effects as well as errors in the driving fields are
considered. It is found that the gates can be made error resilient by using
sufficiently short pulses. The principal limit of how short the pulses can be
made is given by the breakdown of the quasi-monochromatic approximation. A
comparison with the resilience of adiabatic gates is carried out.
