Model-aware reinforcement learning for high-performance Bayesian experimental design in quantum metrology

Belliardo F, Zoratti F, Marquardt F, Giovannetti V (2024)


Publication Language: English

Publication Type: Journal article

Publication year: 2024

Journal

Book Volume: 8

Article Number: 1555

DOI: 10.22331/q-2024-12-10-1555

Abstract

Quantum sensors offer flexibility in control during estimation, allowing manipulation across various parameters by the experimenter. For each sensing platform, determining the optimal controls to enhance the sensor’s precision remains a challenging task. While an analytical solution may be unattainable, machine learning presents a promising approach for many systems of interest, especially considering the capabilities of modern hardware. We introduce a versatile procedure capable of optimizing a wide range of problems in quantum metrology and estimation by combining model-aware reinforcement learning (RL) with Bayesian estimation via particle filtering. To achieve this, we addressed the challenge of integrating the many non-differentiable steps of the estimation process, such as measurements and particle filter resampling, into the training routine. Our RL-based approach is suitable for optimizing both non-adaptive and adaptive strategies using a neural network. We provide an implementation of this technique in the form of a Python library called qsensoropt, along with several pre-built applications for relevant physical platforms, including NV centers, photonic circuits, and optical cavities. Using our method, we have achieved results that surpass the current state-of-the-art in experimental design for numerous tasks. Beyond Bayesian estimation, by leveraging model-aware RL, it is also possible to find optimal controls for minimizing the Cramér-Rao bound, based on Fisher information.

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How to cite

APA:

Belliardo, F., Zoratti, F., Marquardt, F., & Giovannetti, V. (2024). Model-aware reinforcement learning for high-performance Bayesian experimental design in quantum metrology. Quantum, 8. https://doi.org/10.22331/q-2024-12-10-1555

MLA:

Belliardo, Federico, et al. "Model-aware reinforcement learning for high-performance Bayesian experimental design in quantum metrology." Quantum 8 (2024).

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