Article (Scientific journals)
Time-optimal control of a 3-level quantum system and its generalization
Chang, Dong Eui; Sepulchre, Rodolphe
2007In Dynamics of Continuous, Discrete and Impulsive. Systems Series B, Applications and Algorithms, 14, p. 575-592
Peer reviewed
 

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Keywords :
Time-optimal control; quantum systems; Hamiltonian mechanics; symmetry; symplectic reduction
Abstract :
[en] We solve the problem of steering a three-level quantum system from one eigen- state to another in minimum time and study its possible extension to the time-optimal control problem for a general n-level quantum system. For the three-level system we find all optimal controls by finding two types of symmetry in the problems: Z2 ×S3 discrete sym- metry and S1 continuous symmetry, and exploiting them to solve the problem through discrete reduction and symplectic reduction. We then study the geometry, in the same framework, which occurs in the time-optimal control of a general n-level quantum system.
Disciplines :
Electrical & electronics engineering
Author, co-author :
Chang, Dong Eui;  University of Waterloo, Canada > Department of Applied Mathematics
Sepulchre, Rodolphe ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation
Language :
English
Title :
Time-optimal control of a 3-level quantum system and its generalization
Publication date :
2007
Journal title :
Dynamics of Continuous, Discrete and Impulsive. Systems Series B, Applications and Algorithms
ISSN :
1492-8760
eISSN :
1918-2538
Publisher :
Watam Press
Volume :
14
Pages :
575-592
Peer reviewed :
Peer reviewed
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