Substantial precision enhancements via adaptive symmetry-informed Bayesian metrology

• URL: http://arxiv.org/abs/2410.10615v3
• Date: Fri, 02 May 2025 09:12:23 GMT
• Title: Substantial precision enhancements via adaptive symmetry-informed Bayesian metrology
• Authors: Matt Overton, Jesús Rubio, Nathan Cooper, Daniele Baldolini, David Johnson, Janet Anders, Lucia Hackermüller,
• Abstract summary: In-depth optimisation of measurement procedures beyond phase estimation has been overlooked.<n>We present a systematic strategy for parameter estimation that can be applied across a wide range of experimental platforms.<n>We demonstrate the power of this strategy by applying it to atom number estimation in a quantum technology experiment.
• Score: 2.477017847456471
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Precision measurements are essential for addressing major challenges, ranging from gravitational wave detection to healthcare diagnostics. While quantum sensing experiments are constantly improving to deliver greater precision, the in-depth optimisation of measurement procedures beyond phase estimation has been overlooked. Here we present a systematic strategy for parameter estimation that can be applied across a wide range of experimental platforms operating in the low data limit. Its strength is the inclusion of experimental control parameters, which allows optimisation within a Bayesian procedure and adaptive repetition. We provide general expressions for the optimal estimator and error for any parameter amenable to symmetry-informed strategies. We demonstrate the power of this strategy by applying it to atom number estimation in a quantum technology experiment. Our protocol results in a five-fold reduction in the fractional variance of the atom number estimate compared to a standard, unoptimized protocol. Equivalently, it achieves the target precision with a third of the data points previously required. The enhanced device performance and accelerated data collection achieved with this Bayesian optimised strategy will be essential for applications in quantum computing, communication, metrology, and the wider quantum technology sector.

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