Robust quantum parameter estimation: coherent magnetometry with feedback
Quantum Physics
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.quant-ph/0309101,
title = {Robust quantum parameter estimation: coherent magnetometry with feedback},
author = {John K. Stockton and JM Geremia and Andrew C. Doherty and H. Mabuchi},
journal= {arXiv preprint arXiv:quant-ph/0309101},
year = {2007}
}