Title :
Quantum control using Lie group decompositions
Author_Institution :
Quantum Processes Group, Open Univ., Milton Keynes, UK
Abstract :
Lie group decompositions of a desired unitary evolution operator are employed to find simple control schemes to achieve population transfers for systems initially in the ground state as well as complete inversions of the ensemble populations for systems whose initial state is an ensemble of energy eigenstates. Both completely controllable and pure-state controllable systems are considered and it is shown that the control objective can be achieved using realistic square wave pulses
Keywords :
Lie groups; Schrodinger equation; discrete systems; quantum theory; Lie group decompositions; Schrodinger equation; completely controllable systems; discrete systems; energy eigenstates; population transfers; pure-state controllable systems; quantum control; realistic square wave pulses; unitary evolution operator; Control systems; Energy states; Frequency; Optimal control; Physics; Power engineering and energy; Quantum computing; Size control; Stationary state; Systems engineering and theory;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980116
