Robust quantum parameter estimation: Coherent magnetometry with feedback

2003/09/11 by John K. Stockton, J. M. Geremia, JM Geremia +3 · 3 citations
Computer Science · Physics and Astronomy · #Atomic and Subatomic Physics Research #Quantum Information and Cryptography #Quantum optics and atomic interactions #quant-ph

paper · pdf · doi:10.1103/physreva.69.032109

published as Phys. Rev. A 69, 032109 (2004)

arxiv created 2003/09/11 · openalex publication_date 2004/03/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Spin squeezing via quantum feedback
• Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet

Cited by

• Hybrid filtering for a class of nonlinear quantum systems subject to classical stochastic disturbances
• Fundamental Quantum Limit to Waveform Estimation
• Parameter Estimation, Model Reduction and Quantum Filtering

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