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Observer-based Hamiltonian identification for quantum systems

Mazyar Mirrahimi·Pierre Rouchon
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Abstract

An observer-based Hamiltonian identification algorithm for quantum systems is proposed. For the 2-level case an exponential convergence result based on averaging arguments and some relevant transformations is provided. The convergence for multi-level cases is discussed using some heuristic arguments and the relevance of the method is tested via simulations. Finally, the robustness issue with respect to non-negligible uncertainties and experimental noises is also addressed on simulations.

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Mazyar Mirrahimi, Pierre Rouchon. 2007-03-07. Observer-based Hamiltonian identification for quantum systems. https://arxiv.org/abs/math-ph/0703024

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