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Robust quantum parameter estimation: Coherent magnetometry with feedback

Stockton, John K. and Geremia, J. M. and Doherty, Andrew C. and Mabuchi, Hideo (2004) Robust quantum parameter estimation: Coherent magnetometry with feedback. Physical Review A, 69 (3). Art. No. 032109. ISSN 1050-2947. doi:10.1103/PhysRevA.69.032109.

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We describe the formalism for optimally estimating and controlling both the state of a spin ensemble and a scalar magnetic field with information obtained from a continuous quantum limited measurement of the spin precession due to the field. The full quantum parameter estimation model is reduced to a simplified equivalent representation to which classical estimation and control theory is applied. We consider both the tracking of static and fluctuating fields in the transient and steady-state regimes. By using feedback control, the field estimation can be made robust to uncertainty about the total spin number.

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Additional Information:©2004 The American Physical Society. Received 11 September 2003; published 23 March 2004. This work was supported by the NSF Grant Nos. (PHY-9987541, EIA-0086038), the ONR Grant No. (N00014-00-1-0479), and the Caltech MURI Center for Quantum Networks Grant No. (DAAD19-00-1-0374). J.K.S. acknowledges financial support from the Hertz Foundation. The authors thank Ramon van Handel for useful discussions. Additional information is available at
Subject Keywords:quantum theory; fluctuations; quantum optics; parameter estimation; optical feedback; radiation pressure; optical pumping
Issue or Number:3
Record Number:CaltechAUTHORS:STOpra04b
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2274
Deposited By: Tony Diaz
Deposited On:21 Mar 2006
Last Modified:08 Nov 2021 19:46

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