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Quantum limits to feedback control of linear systems
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Paper Abstract

In many optical and atomic systems it is now possible to monitor an individual quantum system with high signal to noise and feed back by altering the system dynamics in real time. This motivates further development of quantum mechanical descriptions of feedback control. We discuss recent work on closed loop control of open quantum systems, focusing on general linear systems for which the statistics of the problem are Gaussian. Such systems may be realized with linear optics, parametric amplifiers and homodyne detection. This problem allows a direct comparison with the classical linear, quadratic cost, Gaussian noise (LQG) optimal control problem. This highlights the key distinction between the quantum and classical theories for linear systems: that increased measurement sensitivity may run counter to the control objectives since it increases the backaction noise. While in an idealized classical control problem it is always preferable to obtain a better sensor, quantum mechanical problems generically have an optimal sensitivity since quantum mechanical measurements irreducibly disturb the system. The general theory will be illustrated by reference to specific simple examples.

Paper Details

Date Published: 25 May 2004
PDF: 13 pages
Proc. SPIE 5468, Fluctuations and Noise in Photonics and Quantum Optics II, (25 May 2004); doi: 10.1117/12.547184
Show Author Affiliations
Andrew C. Doherty, University of Queensland (Australia)
Howard M. Wiseman, Griffith Univ. (Australia)

Published in SPIE Proceedings Vol. 5468:
Fluctuations and Noise in Photonics and Quantum Optics II
Peter Heszler, Editor(s)

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