  We show a method to protect quantum states from the disturbance due to the
random potential by successive rapid manipulations of the quantum states. The
quantum states are kept undisturbed for a longer time than the case of the
simple trapping with a stationary potential. The effective potential, which the
quantum states feel, becomes uniform when the velocity of the transport is
sufficiently large. It is also shown that the alternating transport of a
Bose-Einstein condensate with the driving potential derived by fast-forward
scaling theory [Masuda and Nakamura, Proc. R. Soc. A 466, 1135 (2010)] can
protect it from the disturbance.
