Abstract
This work reviews various topics in the control of open quantum systems interacting with the environment. The topics include the formulation of coherent and incoherent quantum control, analysis of control landscapes and their critical points for typical objective functionals, controllability properties, and the relation to the optimization over complex Stiefel manifolds.
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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 42, Proceedings of the International Conference on Mathematical Control Theory and Mechanics (Suzdal, Russia, 3–7 July, 2009), Part 2, 2011.
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Pechen, A., Rabitz, H. Incoherent Control of Open Quantum Systems. J Math Sci 199, 695–701 (2014). https://doi.org/10.1007/s10958-014-1895-y
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DOI: https://doi.org/10.1007/s10958-014-1895-y