Smoothing of Gaussian quantum dynamics for force detection

Abstract

Building on recent work by Gammelmark et al. [Phys. Rev. Lett. 111, 160401 (2013)] we develop a formalism for prediction and retrodiction of Gaussian quantum systems undergoing continuous measurements. We apply the resulting formalism to study the advantage of incorporating a full measurement record and retrodiction for impulse-like force detection and accelerometry.

References in corpus (6)

• Quantum sensing
• A Straightforward Introduction to Continuous Quantum Measurement
• Quantum Imaging beyond the Diffraction Limit by Optical Centroid Measurements
• Prediction and retrodiction with continuously monitored Gaussian states
• Gaussian localizable entanglement
• Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing

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• Quantum state smoothing cannot be assumed classical even when the filtering and retrofiltering are classical
• Numerical validation of Ehrenfest theorem in a Bohmian perspective for non-conservative systems