Title :
Algorithms for quantum control based on decompositions of Lie groups
Author :
D´Alessandro, Domenico
Author_Institution :
Dept. of Math., Iowa State Univ., Ames, IA, USA
Abstract :
Algorithms for the control of quantum mechanical systems are presented which are based on decompositions of Lie groups. The derived control laws drive the state of two and four level systems to any desired final configuration. The algorithms for the two-level case allow the use of an arbitrarily bounded control
Keywords :
Lie groups; matrix algebra; quantum computing; Lie groups; decompositions; quantum computing; quantum control; quantum mechanical systems; Control system synthesis; Control systems; Hilbert space; Magnetic fields; Mathematics; Matrix decomposition; Mechanical systems; Quantum computing; Quantum mechanics; Schrodinger equation;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.912898