Open-Loop Control Design via Parametrization Applied in a Two-Level Quantum System Model
Abstract
In the design of quantum computing devices of the future the basic element is the qubit. It is a two-level quantum system which may describe population transfer from one steady-state to another controlled by a coherent laser field. A four-dimensional real-variable differential equation model is constructed from the complex-valued two-level model describing the wave function of the system. The state transition matrix of the model is constructed via the Wei-Norman technique and Lie algebraic methodology. The idea of parametrization using flatness-based control, is applied to construct feasible input--output pairs of the model. This input drives the state of the system from the given initial state to the given final state in a finite time producing the corresponding output of the pair. The population transfer is obtained by nullifying part of the state vector via careful selection of the parameter functions. A preliminary simulation study completes the paper.
Cite
@article{arxiv.1002.4260,
title = {Open-Loop Control Design via Parametrization Applied in a Two-Level Quantum System Model},
author = {Markku Nihtilä},
journal= {arXiv preprint arXiv:1002.4260},
year = {2010}
}
Comments
Theoretical part of this paper without simulation figures appears in the CD-preprint of Fourth International Symposium on Communications, Control and Signal Processing, Limassol, Cyprus, March 3-5, 2010 (ISCCSP 2010)