  One of the principal goals of controlling classical chaotic dynamical systems
is known as targeting, which is the very weakly perturbative process of using
the system's extreme sensitivity to initial conditions in order to arrive at a
predetermined target state. It is shown that a generalization to chaotic
quantum systems is possible in the semiclassical regime, but requires tailored
perturbations whose effects must undo the dynamical spreading of the evolving
quantum state. The procedure described here is applied to initially minimum
uncertainty wave packets in the quantum kicked rotor, a preeminent quantum
chaotic paradigm, to illustrate the method, and investigate its accuracy. The
method's error can be made to vanish as $\hbar \rightarrow 0$
