Bayesian quantum sensing using graybox machine learning

Fuente: arXiv
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Autori principali: Youssry, Akram, Todd, Stefan, Murton, Patrick, Arshad, Muhammad Junaid, Peruzzo, Alberto, Bonato, Cristian
Natura: Preprint
Pubblicazione: 2026
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author Youssry, Akram
Todd, Stefan
Murton, Patrick
Arshad, Muhammad Junaid
Peruzzo, Alberto
Bonato, Cristian
author_facet Youssry, Akram
Todd, Stefan
Murton, Patrick
Arshad, Muhammad Junaid
Peruzzo, Alberto
Bonato, Cristian
contents Quantum sensors offer significant advantages over classical devices in spatial resolution and sensitivity, enabling transformative applications across materials science, healthcare, and beyond. Their practical performance, however, is often constrained by unmodelled effects, including noise, imperfect state preparation, and non-ideal control fields. In this work, we report the first experimental implementation of a graybox modelling strategy for a solid-state open quantum system. The graybox framework integrates a physics-based system model with a data-driven description of experimental imperfections, achieving higher fidelity than purely analytical (whitebox) approaches while requiring fewer training resources than fully deep-learning models. We experimentally validate the method on the task of estimating a static magnetic field using a single-spin quantum sensor, performing Bayesian inference with a graybox model trained on prior experimental data. Using roughly 10,000 training datapoints, the graybox model yields several orders of magnitude improvement in mean squared error over the corresponding physics-only model. These results are broadly applicable to a wide range of quantum sensing platforms, not limited to single-spin systems, and are particularly valuable for real-time adaptive protocols, where model inaccuracies can otherwise lead to suboptimal control and degraded performance.
format Preprint
id arxiv_https___arxiv_org_abs_2601_17465
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Bayesian quantum sensing using graybox machine learning
Youssry, Akram
Todd, Stefan
Murton, Patrick
Arshad, Muhammad Junaid
Peruzzo, Alberto
Bonato, Cristian
Quantum Physics
Machine Learning
Signal Processing
Quantum sensors offer significant advantages over classical devices in spatial resolution and sensitivity, enabling transformative applications across materials science, healthcare, and beyond. Their practical performance, however, is often constrained by unmodelled effects, including noise, imperfect state preparation, and non-ideal control fields. In this work, we report the first experimental implementation of a graybox modelling strategy for a solid-state open quantum system. The graybox framework integrates a physics-based system model with a data-driven description of experimental imperfections, achieving higher fidelity than purely analytical (whitebox) approaches while requiring fewer training resources than fully deep-learning models. We experimentally validate the method on the task of estimating a static magnetic field using a single-spin quantum sensor, performing Bayesian inference with a graybox model trained on prior experimental data. Using roughly 10,000 training datapoints, the graybox model yields several orders of magnitude improvement in mean squared error over the corresponding physics-only model. These results are broadly applicable to a wide range of quantum sensing platforms, not limited to single-spin systems, and are particularly valuable for real-time adaptive protocols, where model inaccuracies can otherwise lead to suboptimal control and degraded performance.
title Bayesian quantum sensing using graybox machine learning
topic Quantum Physics
Machine Learning
Signal Processing
url https://arxiv.org/abs/2601.17465