Title :
Lyapunov-based control of quantum systems
Author :
Grivopoulos, Symeon ; Bamieh, Bassam
Author_Institution :
Dept. of Mech. & Environ. Eng., California Univ., Santa Barbara, CA, USA
Abstract :
We propose feedback control laws for quantum systems, based on Lyapunov design. These feedback laws locally asymptotically stabilize any desired eigenstate of the system Hamiltonian. The target eigenstate and the size of its region of attraction can be tailored by the choice of design parameters. These feedback control laws are used to design open loop controls for state transfer problems. We illustrate the method with a transfer problem between bound states of a molecular Morse oscillator.
Keywords :
Lyapunov methods; asymptotic stability; control system synthesis; eigenvalues and eigenfunctions; open loop systems; quantum theory; state feedback; Lyapunov based control; asymptotic stability; eigenstate; feedback control law; molecular Morse oscillator; open loop control design; quantum systems; system Hamiltonian; Control system synthesis; Control systems; Controllability; Design engineering; Eigenvalues and eigenfunctions; Feedback control; Open loop systems; Optimal control; Quantum mechanics; State feedback;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272601
