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A Numerical Quantum Optimal Control with Grover Iteration

This paper proposes a new numerical quantum optimal control method with Grover Iteration for two-level quantum systems. We show that our treatment of using the piecewise constant controls with desired control structure is implementable for laboratory laser experiments. And then, the robustness of the algorithm is also considered when parameter perturbations of quantum systems exist. The performance of the system is enhanced using the combination of the quantum optimal control and the Grover Iteration. In particular, the feasibility, effectiveness and priority of the new control scheme are presented by a comparison between our algorithm and the traditional quantum optimal control.