[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
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