  We analyze a scheme for quantum computation where quantum gates can be
continuously changed from standard dynamic gates to purely geometric ones.
These gates are enacted by controlling a set of parameters that are subject to
unwanted stochastic fluctuations. This kind of noise results in a departure
from the ideal case that can be quantified by a gate fidelity. We find that the
maximum of this fidelity corresponds to quantum gates with a vanishing
dynamical phase.
