Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7113735 | European Journal of Control | 2018 | 12 Pages |
Abstract
This paper presents a 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 the Laboratoire Kastler Brossel. Here, we consider an infinite-dimensional Markov model corresponding to a realistic experimental set-up where imperfect measurements and feedback delays are taken into account. In this realistic 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 subspace. Closed-loop simulations illustrate the performance of the feedback law.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
H.B. Silveira, P.S. Pereira da Silva, P. Rouchon,