Stabilization of photon-number states via single-photon corrections: a first convergence analysis under an ideal set-up
Abstract
This paper presents a first mathematical convergence analysis of a Fock states feedback stabilization scheme via single-photon corrections. This measurement-based feedback has been developed and experimentally tested in 2012 by the cavity quantum electrodynamics group of Serge Haroche and Jean-Michel Raimond. Here, we consider the infinite-dimensional Markov model corresponding to the ideal set-up where detection errors and feedback delays have been disregarded. In this ideal context, we show that any goal Fock state can be stabilized by a Lyapunov-based feedback for any initial quantum state belonging to the dense subset of finite rank density operators with support in a finite photon-number sub-space. Closed-loop simulations illustrate the performance of the feedback law.
Keywords
Cite
@article{arxiv.1503.06933,
title = {Stabilization of photon-number states via single-photon corrections: a first convergence analysis under an ideal set-up},
author = {Hector Bessa Silveira and Paulo Sergio Pereira da Silva and Pierre Rouchon},
journal= {arXiv preprint arXiv:1503.06933},
year = {2016}
}
Comments
2 figures, extended version of the IEEE CDC2015 conference paper