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Published March 1, 2004 | public
Journal Article Open

Robust quantum parameter estimation: Coherent magnetometry with feedback


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.

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 http://minty.caltech.edu/Ensemble.


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