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Abstract: An incoherent control scheme for state control of locally controllablequantum systems is proposed. This scheme includes three steps: 1 amplitudeamplification of the initial state by a suitable unitary transformation, 2projective measurement on the amplified state, and 3 final optimization by aunitary controlled transformation. The first step increases the amplitudes ofsome desired eigenstates and the corresponding probability of observing theseeigenstates, the second step projects, with high probability, the amplifiedstate into a desired eigenstate, and the last step steers this eigenstate intothe target state. Within this scheme, two control algorithms are presented fortwo classes of quantum systems. As an example, the incoherent control scheme isapplied to the control of a hydrogen atom by an external field. The resultssupport the suggestion that projective measurements can serve as an effectivecontrol and local controllability information can be used to design controllaws for quantum systems. Thus, this scheme establishes a subtle connectionbetween control design and controllability analysis of quantum systems andprovides an effective engineering approach for controlling quantum systems withpartial controllability information.

Autor: Daoyi Dong, Chenbin Zhang, Herschel Rabitz, Alexander Pechen, Tzyh-Jong Tarn


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