2008/10/15 by Daoyi Dong, Chenbin Zhang, Herschel Rabitz +3
Computer Science · Physics and Astronomy · #Laser-Matter Interactions and Applications #Quantum Information and Cryptography #Spectroscopy and Quantum Chemical Studies #quant-ph
paper · pdf · doi:10.1063/1.2992557
published as Journal of Chemical Physics, Vol.129, p.154103, 2008 · 25 pages, 5 figures, Latex
openalex publication_date 2008/10/15 · arxiv created 2008/10/21 · arxiv updated 2009/12/01 · openalex created_date 2020/11/23 · openalex updated_date 2026/07/28
An incoherent control scheme for state control of locally controllable quantum systems is proposed. This scheme includes three steps: (1) amplitude amplification of the initial state by a suitable unitary transformation, (2) projective measurement of the amplified state, and (3) final optimization by a unitary controlled transformation. The first step increases the amplitudes of some desired eigenstates and the corresponding probability of observing these eigenstates, the second step projects, with high probability, the amplified state into a desired eigenstate, and the last step steers this eigenstate into the target state. Within this scheme, two control algorithms are presented for two classes of quantum systems. As an example, the incoherent control scheme is applied to the control of a hydrogen atom by an external field. The results support the suggestion that projective measurements can serve as an effective control and local controllability information can be used to design control laws for quantum systems. Thus, this scheme establishes a subtle connection between control design and controllability analysis of quantum systems and provides an effective engineering approach in controlling quantum systems with partial controllability information.