Analysis of Lyapunov Method for Control of Quantum Systems
arXiv:0801.0702 · doi:10.1109/TAC.2010.2043292 10.1109/TAC.2010.204276
Abstract
We present a detailed analysis of the convergence properties of Lyapunov control for finite-dimensional quantum systems based on the application of the LaSalle invariance principle and stability analysis from dynamical systems and control theory. For a certain class of ideal Hamiltonians, convergence results are derived both pure-state and mixed-state control, and the effectiveness of the method for more realistic Hamiltonians is discussed.
20 pages, 1 figure, draft version
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