Comparative Analysis of Control Strategies
Abstract
Different ways of modelling quantum control systems, formulating control problems and solving the resulting problems are considered and compared. In particular, we compare the performance of geometric and optimal control, as well as iterative techniques for optimal control design versus local gradient optimization using a Lyapunov-type potential function for two problems of general interest: global control of qubits and entanglement generation in the form of Bell state preparation.
Cite
@article{arxiv.0801.0746,
title = {Comparative Analysis of Control Strategies},
author = {Sonia G Schirmer and Peter J Pemberton-Ross and Xiaoting Wang},
journal= {arXiv preprint arXiv:0801.0746},
year = {2008}
}
Comments
This work is part of a more comprehensive analysis of control strategies, which has prompted further work such as our recent analysis of the Lyapunov method. It was originally presented at PhysCon2007 and has appeared in the Proceedings. Some figures are poor quality but the arXiv robot wouldn't accept the original figures. Online at: http://lib.physcon.ru/?item=1207