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The protection of quantum states is challenging for non-orthogonal statesespecially in the presence of noises. The recent research breakthrough showsthat this difficulty can be overcome by feedback control with weakmeasurements. However, the state-protection schemes proposed recently workoptimally only for special quantum states. In this paper, {by applyingdifferent weak measurements, we extend the idea of the state-protection schemeto protect general states.} We calculate numerically the optimal parameters anddiscuss the performance of the scheme. Comparison between this extended schemeand the earlier scheme is also presented.

Extended Techniques for Feedback Control of A Single Qubit