Optomechanical parameter estimation
arXiv:1307.3800 · doi:10.1088/1367-2630/15/10/103028
Abstract
We propose a statistical framework for the problem of parameter estimation from a noisy optomechanical system. The Cramér-Rao lower bound on the estimation errors in the long-time limit is derived and compared with the errors of radiometer and expectation-maximization (EM) algorithms in the estimation of the force noise power. When applied to experimental data, the EM estimator is found to have the lowest error and follow the Cramér-Rao bound most closely. Our analytic results are envisioned to be valuable to optomechanical experiment design, while the EM algorithm, with its ability to estimate most of the system parameters, is envisioned to be useful for optomechanical sensing, atomic magnetometry, and fundamental tests of quantum mechanics.
17 pages, 2 figures. v2: accepted by NJP
References in corpus (10)
- Strong Optomechanical Squeezing of Light
- Observation of Radiation Pressure Shot Noise on a Macroscopic Object
- Quantum-enhanced optical phase tracking
- High-sensitivity monitoring of micromechanical vibration using optical whispering gallery mode resonators
- Past quantum states
- Time-Symmetric Quantum Theory of Smoothing
- Robust quantum parameter estimation: coherent magnetometry with feedback
- Quantum-Limited Mirror-Motion Estimation
- Estimation of fluctuating magnetic fields by an atomic magnetometer
- Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing
Cited by in corpus (10)
- Evaluating the Holevo Cramér-Rao bound for multi-parameter quantum metrology
- Tight bounds on the simultaneous estimation of incompatible parameters
- Optimal quantum parameter estimation in a pulsed quantum optomechanical system
- Spectrum analysis with quantum dynamical systems
- Cramér-Rao bound for time-continuous measurements in linear Gaussian quantum systems
- Quantum State Smoothing for Linear Gaussian Systems
- Testing quantum mechanics: a statistical approach
- Estimation of squeezing in a nonlinear quadrature of a mechanical oscillator
- Binary Discrimination in Quantum Systems via Hypothesis Testing
- Force Tracking in Cavity Optomechanics with a Two-Level Quantum System by Kalman Filtering