Title :
Averaging simplifies optimal population transfer problems
Author :
Grivopoulos, Symeon ; Bamieh, Bassam
Author_Institution :
Dept. of Mech. Eng., California Univ., Santa Barbara, CA
Abstract :
We consider energy-optimal population transfer problems for isolated finite dimensional quantum systems. In the limit when the transfer time is large compared to the time scale of the free dynamics, we show how the associated two-point boundary-value problem (TPBVP) can be reduced to a corresponding "averaged" TPBVP where the free dynamics has been averaged over. This approach offers significant computational and conceptual advantages to the solution of such problems
Keywords :
boundary-value problems; discrete time systems; multidimensional systems; energy-optimal population transfer; finite dimensional quantum systems; two-point boundary-value problem; Algebra; Chemistry; Control systems; Controllability; Equations; Optimal control; Quantum computing; Size control; Size measurement; Time measurement;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377174
