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arXiv · 0801.0702

Analysis of Lyapunov Method for Control of Quantum Systems

Xiaoting Wang·Sonia G. Schirmer
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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.

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Xiaoting Wang, Sonia G. Schirmer. 2008-05-19. Analysis of Lyapunov Method for Control of Quantum Systems. https://doi.org/10.1109/tac.2010.2043292%2010.1109%2Ftac.2010.204276

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