Bayesian quantum sensing using graybox machine learning

The paper reports the first experimental implementation of a graybox modelling strategy for a solid-state open quantum system. By combining a physics-based system model with a data-driven description of experimental imperfections, the graybox approach achieves higher fidelity than purely analytical models while requiring fewer training resources than fully deep-learning blackbox models. Using roughly 10,000 training datapoints, the graybox model improves mean squared error by several orders of magnitude over the physics-only model and outperforms a comparable blackbox model in estimating a static magnetic field with a single-spin quantum sensor.

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