  The proposal of the optical scheme for holonomic quantum computation is
evaluated based on dynamical resolution to the system beyond adiabatic
limitation. The time-dependent Schr\"{o}dinger equation is exactly solved by
virtue of the cranking representation and gauge transformation approach.
Besides providing rigorous confirmation to holonomies of the geometrical
prediction that holds for the ideally adiabatic situation, the dynamical
resolution enables one to evaluate elaborately the amplitude of the
nonadiabatic deviation, so that the errors induced to the quantum computation
can be explicitly estimated.
