Parameter estimation from quantum-jump data using neural networks

Enrico Rinaldi

doi:10.1088/2058-9565/ad3c68

Parameter estimation from quantum-jump data using neural networks

2024-04-26

1

OA

AI

E

Enrico Rinaldi

M

Manuel González Lastre

S

Sergio García Herreros

Carlos Sánchez Muñoz *

DOI：10.1088/2058-9565/ad3c68

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Abstract

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We present an inference method utilizing artificial neural networks for parameter estimation of a quantum probe monitored through a single continuous measurement. Unlike existing approaches focusing on the diffusive signals generated by continuous weak measurements, our method harnesses quantum correlations in discrete photon-counting data characterized by quantum jumps. We benchmark the precision of this method against Bayesian inference, which is optimal in the sense of information retrieval. By using numerical experiments on a two-level quantum system, we demonstrate that our approach can achieve a similar optimal performance as Bayesian inference, while drastically reducing computational costs. Additionally, the method exhibits robustness against the presence of imperfections in both measurement and training data. This approach offers a promising and computationally efficient tool for quantum parameter estimation with photon-counting data, relevant for applications such as quantum sensing or quantum imaging, as well as robust calibration tasks in laboratory-based settings.

Keywords:

quantum metrology

quantum parameter estimation

neural networks

deep learning

quantum jumps

photon counting

Parameter estimation from quantum-jump data using neural networks

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