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We present a method for realizing efficiently Grover's search algorithm in anarray of coupled cavities doped with three-level atoms. We show that byencoding information in the lowest two ground states of the dopants and throughthe application of appropriately tuned global laser fields, the reflectionoperator needed for the quantum search algorithm can be realized in a singlephysical operation. Thus, the time steps in which Grover's search can beimplemented become equal to the mathematical steps ~ O(\sqrt{N}), where N isthe size of the register. We study the robustness of the implementation againsterrors due to photon losses and fluctuations in the cavity frequencies andatom-photon coupling constants.

A single-interaction step implementation of a quantum search in coupled micro-cavities