Title :
Controllability and diameter of single-input quantum systems
Author :
AgraChev, Andrei ; Chambrion, Thoamas
Author_Institution :
SISSA, Trieste, Italy
Abstract :
Lie groups formalism and Riemannian techniques are used to describe the attainable set at time T of left invariant single-input control systems on compact semi-simple Lie groups. This gives controllability properties and an estimation of the minimal time needed to transfer a controlled quantum system with a drift front a given initial position to a given final position.
Keywords :
Lie groups; controllability; geometry; quantum theory; Killing approximation; Lie group; Riemannian geometry; controllability; left invariant single-input control systems; quantum state; single-input quantum; Algebra; Control systems; Controllability; Differential algebraic equations; Geometry; Schrodinger equation; State estimation; Vents; Wave functions;
Conference_Titel :
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN :
0-7803-7939-X
DOI :
10.1109/PHYCON.2003.1236994
