  The quantum kicked rotor had been widely used for studying quantum chaos and
the physics of Anderson localization. It is shown that QKR can be used to
design a quantum algorithm to perform unstructured search. This is illustrated
through amplitude amplification, a generalization of Grover's search algorithm,
using QKR system. Further, QKR is employed for amplitude estimation when the
amplitude of the marked states is unknown. It is also shown that dynamical
localization in QKR can be exploited to enhance the performance of the
amplitude amplification algorithm by reducing the average runtime. The
sensitivity of the success probability of unstructured search to detuning from
resonance and the effects of noisy kick strengths are analyzed and the
robustness of the QKR based algorithm is shown. The experimental feasibility of
every component of the algorithm is discussed.
