TIME-MINIMAL CONTROL OF DISSIPATIVE TWO-LEVEL QUANTUM SYSTEMS: THE INTEGRABLE CASE

Abstract : The objective of this article is to apply recent developments in geometric optimal control to analyze the time minimum control problem of dissipative two-level quantum systems whose dynamics is governed by the Lindblad equation. We focus our analysis on the case where the extremal Hamiltonian is integrable.
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https://hal.archives-ouvertes.fr/hal-00508380
Contributor : Dominique Sugny <>
Submitted on : Tuesday, August 3, 2010 - 12:07:57 PM
Last modification on : Friday, June 8, 2018 - 2:50:13 PM

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  • HAL Id : hal-00508380, version 1

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Dominique Sugny, Bernard Bonnard. TIME-MINIMAL CONTROL OF DISSIPATIVE TWO-LEVEL QUANTUM SYSTEMS: THE INTEGRABLE CASE. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2009, 48 (3), pp.1289. ⟨hal-00508380⟩

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