  We study the effect of action noise on state-to-state control protocols.
Action noise creates dephasing in the instantaneous eigenbasis of the
Hamiltonian and hampers the fidelity of the final state with respect to the
target state. We find that for shorter protocols the noise more strongly
influences the dynamics and degrades fidelity. We suggest improving the
fidelity by inducing stronger dephasing rates along the process. The effects of
action noise on the dynamics and its manipulation is described for a general
Hamiltonian and is then studied by examples.
