Stimulated Raman Adiabatic Passage is an important pro-
cess for population transfer as well as for implementing quantum gates.
This process requires large Rabi frequencies, which is an undesirable in
many experimental applications. To overcome this problem transition-
less (superadiabatic) STIRAP was proposed. In this paper we study the
role of superadiabatic STIRAP in two examples, population transfer and
quantum rotation gates. The effect of dephasing was also investigated by
computing the fidelity. We have shown that the damping of the excited
state has a little effect but the dephasing of the ground state leads to
imperfect population transfer and imperfect rotation gates
