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Content Provider | IEEE Xplore Digital Library |
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Author | Silveira, H. B. da Silva, P. S. Pereira Rouchon, P. |
Copyright Year | 2015 |
Description | Author affiliation: Departamento de Automação e Sistemas (DAS), Federal University of Santa Catarina (UFSC), Florianópolis, Brazil (Silveira, H. B.) || Centre Automatique et Systèmes, Mines ParisTech, PSL Research University, France (Rouchon, P.) || Escola Politécnica - PTC, University of São Paulo (USP), Brazil (da Silva, P. S. Pereira) |
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. |
Starting Page | 7113 |
Ending Page | 7118 |
File Size | 409110 |
Page Count | 6 |
File Format | |
e-ISBN | 9781479978861 |
DOI | 10.1109/CDC.2015.7403341 |
Language | English |
Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Publisher Date | 2015-12-15 |
Publisher Place | Japan |
Access Restriction | Subscribed |
Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Subject Keyword | Atomic measurements Markov processes Photonics Convergence Cavity resonators Microwave measurement Lyapunov methods |
Content Type | Text |
Resource Type | Article |
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