Adaptive phase estimation is more accurate than non-adaptive phase estimation for continuous beams of light

Abstract

We consider the task of estimating the randomly fluctuating phase of a continuous-wave beam of light. Using the theory of quantum parameter estimation, we show that this can be done more accurately when feedback is used (adaptive phase estimation) than by any scheme not involving feedback (non-adaptive phase estimation) in which the beam is measured as it arrives at the detector. Such schemes not involving feedback include all those based on heterodyne detection or instantaneous canonical phase measurements. We also demonstrate that the superior accuracy adaptive phase estimation is present in a regime conducive to observing it experimentally.

15 pages, 9 figures, submitted to PRA

References in corpus (8)

• Quantum feedback control and classical control theory
• Adaptive homodyne measurement of optical phase
• Robust quantum parameter estimation: coherent magnetometry with feedback
• Adaptive Quantum Measurements of a Continuously Varying Phase
• Adaptive single-shot phase measurements: The full quantum theory
• Sensitivity optimization in quantum parameter estimation
• Dynamical parameter estimation using realistic photodetection
• The effects of time delays in adaptive phase measurements

Cited by in corpus (21)

• A Straightforward Introduction to Continuous Quantum Measurement
• Quantum enhanced measurements without entanglement
• Quantum feedback: theory, experiments, and applications
• Time-Symmetric Quantum Theory of Smoothing
• Quantum theory of optical temporal phase and instantaneous frequency. II. Continuous time limit and state-variable approach to phase-locked loop design
• Adaptive phase measurements for narrowband squeezed beams
• Quantum theory of optical temporal phase and instantaneous frequency
• Fourier Analytic Approach to Phase Estimation
• Adaptive measurement filter: efficient strategy for optimal estimation of quantum Markov chains
• Robust Adaptive Quantum Phase Estimation
• Single-shot non-Gaussian Measurements for Optical Phase Estimation
• Adaptive estimation of a time-varying phase with a power-law spectrum via continuous squeezed states
• Mutual information--based approach to adaptive homodyne detection of quantum optical states
• Super-Sensitive Ancilla-Based Adaptive Quantum Phase Estimation
• Reading a Single Qubit System Using Weak Measurement with Variable Strength
• Applications of Feedback Control in Quantum Systems
• Adaptive Phase Estimation with Squeezed Vacuum Approaching the Quantum Limit
• Adaptive Continuous Homodyne Phase Estimation Using Robust Fixed-Interval Smoothing
• Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing
• Robust Guaranteed-Cost Adaptive Quantum Phase Estimation
• Estimating quantum Markov chains using coherent absorber post-processing and pattern counting estimator