Analysis of Lyapunov Method for Control of Quantum Systems

Details Analysis of Lyapunov Method for Control of Quantum Systems Analysis of Lyapunov Method for Control of Quantum Systems

2008-01-04

arxiv.org/abs/0801.0702v2

Physics

Quantum Physics

20 pages, 1 figure, draft version

Scientific paper

10.1109/TAC.2010.2043292 10.1109

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.

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