Optimal State Preparation for Impulse Estimation in Gaussian Quantum Systems
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866916005272354816 |
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| author | Schmerling, Kaspar Kugi, Andreas Deutschmann-Olek, Andreas |
| author_facet | Schmerling, Kaspar Kugi, Andreas Deutschmann-Olek, Andreas |
| contents | 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 |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_12155 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Optimal State Preparation for Impulse Estimation in Gaussian Quantum Systems Schmerling, Kaspar Kugi, Andreas Deutschmann-Olek, Andreas Quantum Physics Systems and Control 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 |
| title | Optimal State Preparation for Impulse Estimation in Gaussian Quantum Systems |
| topic | Quantum Physics Systems and Control |
| url | https://arxiv.org/abs/2605.12155 |