On exponential stabilization of two-qubit systems
Optimization and Control
2019-03-19 v1 Quantum Physics
Abstract
In this paper, we consider a two-qubit system undergoing continuous-time measurements. In presence of multiple channels, we provide sufficient conditions on the continuous feedback control law ensuring almost sure exponential convergence to a predetermined Bell state. This is obtained by applying stochastic tools, Lyapunov methods and geometric control tools. With one channel, we establish asymptotic convergence towards a predetermined Bell state. In both cases, we provide explicit expressions of feedback control laws satisfying the above-mentioned conditions. Finally, we demonstrate the effectiveness of our methodology through numerical simulations.
Cite
@article{arxiv.1903.07470,
title = {On exponential stabilization of two-qubit systems},
author = {Weichao Liang and Nina H. Amini and Paolo Mason},
journal= {arXiv preprint arXiv:1903.07470},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1902.05879