Optimal State Preparation for Impulse Estimation in Gaussian Quantum Systems
Abstract
We present an optimal control-based strategy to enhance the estimation of impulse-like disturbances in continuously monitored linear classical and quantum systems by exploiting non-equilibrium states. Using optimal estimation techniques for linear Gaussian systems to collect information from the temporal vicinity of the disturbance, we cast the minimization of disturbance estimation uncertainty as a nonlinear optimal control problem over time-dependent system parameters. The resulting method dynamically shapes the estimation covariances through parametric modulation, maximizing information gain at a known impulse time. This differs fundamentally from conventional squeezing protocols using periodic modulation that effectively degrade inference of impulse-like disturbances. Applied to nanomechanical resonators and levitated nanoparticles, optimal parametric driving reduces estimation variance by up to a factor of two relative to steady-state operation
Cite
@article{arxiv.2605.12155,
title = {Optimal State Preparation for Impulse Estimation in Gaussian Quantum Systems},
author = {Kaspar Schmerling and Andreas Kugi and Andreas Deutschmann-Olek},
journal= {arXiv preprint arXiv:2605.12155},
year = {2026}
}
Comments
Accepted for presentation at IFAC-Worldcongress 2026