DocumentCode
2483824
Title
Averaging simplifies optimal population transfer problems
Author
Grivopoulos, Symeon ; Bamieh, Bassam
Author_Institution
Dept. of Mech. Eng., California Univ., Santa Barbara, CA
fYear
2006
fDate
13-15 Dec. 2006
Firstpage
2495
Lastpage
2499
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2006 45th IEEE Conference on
Conference_Location
San Diego, CA
Print_ISBN
1-4244-0171-2
Type
conf
DOI
10.1109/CDC.2006.377174
Filename
4178030
Link To Document