Time-Minimal Control of Dissipative Two-Level Quantum Systems: The Generic Case

Abstract : The objective of this article is to complete preliminary results from [5], [17] concerning the time-minimal control of dissipative two-level quantum systems whose dynamics is governed by the Lindblad equation. The extremal system is described by a 3-D-Hamiltonian depending upon three parameters. We combine geometric techniques with numerical simulations to deduce the optimal solutions.
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Contributor : Dominique Sugny <>
Submitted on : Tuesday, August 3, 2010 - 12:04:38 PM
Last modification on : Friday, June 8, 2018 - 2:50:13 PM

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  • HAL Id : hal-00508378, version 1

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Dominique Sugny, Bernard Bonnard. Time-Minimal Control of Dissipative Two-Level Quantum Systems: The Generic Case. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2009, 54 (11), pp.2598. ⟨hal-00508378⟩

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