  We show how one can perform arbitrary rotation of any qubit, using delayed
laser pulses through nonadiabatic evolution, i.e., via transitions among the
adiabatic states. We use a double-Lambda scheme and use a set of control
parameters such as detuning, ratio of pulse amplitudes, time-separation of two
pulses for realizing different rotations of the qubit. We also investigate the
effect of different kinds of chirping, namely linear chirping and hyperbolic
tangent chirping. Our work using nonadiabatic evolution adds to the flexibility
in the implementation of logic gate operations and show how to achieve control
of quantum systems by using different types of pulses.
