DocumentCode
1501218
Title
Time-Minimal Control of Dissipative Two-Level Quantum Systems: The Generic Case
Author
Bonnard, Bernard ; Chyba, Monique ; Sugny, Dominique
Author_Institution
Inst. de Math. de Bourgogne, Dijon, France
Volume
54
Issue
11
fYear
2009
Firstpage
2598
Lastpage
2610
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.
Keywords
discrete time systems; geometry; optimal control; quantum theory; 3D-Hamiltonian; Lindblad equation; dissipative two-level quantum system; geometric technique; numerical simulation; quantum control; time optimal control; time-minimal control; Control systems; Equations; Laser modes; Laser theory; Magnetic fields; Mathematics; Numerical simulation; Optical control; Optimal control; Polarization; Conjugate and cut loci; quantum control; time optimal control;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2009.2031212
Filename
5288564
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