Controllability of Quantum Systems

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An overview and synthesis of results and criteria for open-loop controllability of Hamiltonian quantum systems obtained using Lie group and Lie algebra techniques is presented. Negative results for open-loop controllability of dissipative systems are discussed, and the superiority of closed-loop (feedback) control for quantum systems is established.
6 pages, to appear in Proceedings of Conference on Lagrangian and Hamiltonian Methods in Non-Linear Control (Seville, Spain, 2003)

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