Geometric optimal control and two-level dissipative quantum systems

Abstract : The objective of this article is to present techniques of geometric time-optimal control developed to analyze the control of two-level dissipative quantum systems. Combined with numerical simulations they allow to compute the time-minimal control using a shooting method. The robustness with respect to initial conditions and dissipative parameters is also analyzed using a continuation method.
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https://hal.archives-ouvertes.fr/hal-00508377
Contributor : Dominique Sugny <>
Submitted on : Tuesday, August 3, 2010 - 12:01:38 PM
Last modification on : Friday, June 8, 2018 - 2:50:13 PM

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  • HAL Id : hal-00508377, version 1

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Dominique Sugny, Bernard Bonnard. Geometric optimal control and two-level dissipative quantum systems. Control and Cybernetics, Polish Academy of Sciences, 2009, 38 (4A), pp.1053. ⟨hal-00508377⟩

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