arXiv:0809.4138 · IEEE Transactions on Automatic Control

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

Bernard Bonnard A, Monique Chyba, Dominique Sugny

Published Oct 16, 2009• 85 citations

Abstract

The objective of this article is to complete preliminary results from the work of Bonnard and Sugny (2009) and Sugny et al. (2007), 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 3D-Hamiltonian depending upon three parameters. We combine geometric techniques with numerical simulations to deduce the optimal solutions.

DOI: 10.1109/tac.2009.2031212

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