Title :
Constructive Decomposition of the Controllability Lie Algebra for Quantum Systems
Author :
D´Alessandro, Domenico
Author_Institution :
Dept. of Math., Iowa State Univ., Ames, IA, USA
fDate :
6/1/2010 12:00:00 AM
Abstract :
In this technical note, we show how to use the analysis of the controllability Lie algebra of a quantum mechanical system to study its dynamics and facilitate the design of controls. We give algorithms to decompose the dynamics and describe an example of application to two coupled spin 1/2´s.
Keywords :
Lie algebras; control system synthesis; discrete time systems; constructive decomposition; controllability lie algebra; quantum mechanical system; Computational algorithms; control of quantum mechanical systems; lie algebras;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2010.2043286
