Quantum parameter estimation with uncertainty quantification from continuous measurement data using neural network ensembles

Fuente: arXiv
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Main Author: Anteneh, Amanuel
Format: Preprint
Published: 2025
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author Anteneh, Amanuel
author_facet Anteneh, Amanuel
contents We show that ensembles of deep neural networks, called deep ensembles, can be used to perform quantum parameter estimation while also providing a means for quantifying uncertainty in parameter estimates, which is a key advantage of using Bayesian inference for parameter estimation that is lost when using existing machine learning methods. We show that optimizing for both accurate parameter estimates and well calibrated uncertainty estimates does not lead to degradation in the former as opposed to only optimizing for accuracy. We also show that the drift detection capabilities of these ensemble models can be used to detect drift in the experimental data used during inference. This approach is also shown to provide much faster inference time than both likelihood-based and likelihood-free Bayesian inference. These results suggest that such models could enable accurate, real-time parameter estimation with quantified uncertainty, making them promising candidates for deployment in experimental settings.
format Preprint
id arxiv_https___arxiv_org_abs_2509_10756
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum parameter estimation with uncertainty quantification from continuous measurement data using neural network ensembles
Anteneh, Amanuel
Quantum Physics
Machine Learning
We show that ensembles of deep neural networks, called deep ensembles, can be used to perform quantum parameter estimation while also providing a means for quantifying uncertainty in parameter estimates, which is a key advantage of using Bayesian inference for parameter estimation that is lost when using existing machine learning methods. We show that optimizing for both accurate parameter estimates and well calibrated uncertainty estimates does not lead to degradation in the former as opposed to only optimizing for accuracy. We also show that the drift detection capabilities of these ensemble models can be used to detect drift in the experimental data used during inference. This approach is also shown to provide much faster inference time than both likelihood-based and likelihood-free Bayesian inference. These results suggest that such models could enable accurate, real-time parameter estimation with quantified uncertainty, making them promising candidates for deployment in experimental settings.
title Quantum parameter estimation with uncertainty quantification from continuous measurement data using neural network ensembles
topic Quantum Physics
Machine Learning
url https://arxiv.org/abs/2509.10756