Learning the dynamics of Markovian open quantum systems from experimental data

Fuente: arXiv
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Main Authors: Wallace, Stewart, Altmann, Yoann, Gerardot, Brian D., Gauger, Erik M., Bonato, Cristian
Format: Preprint
Published: 2024
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author Wallace, Stewart
Altmann, Yoann
Gerardot, Brian D.
Gauger, Erik M.
Bonato, Cristian
author_facet Wallace, Stewart
Altmann, Yoann
Gerardot, Brian D.
Gauger, Erik M.
Bonato, Cristian
contents We present a Bayesian algorithm to identify generators of open quantum system dynamics, described by a Lindblad master equation, that are compatible with measured experimental data. The algorithm, based on a Markov Chain Monte Carlo approach, assumes the energy levels of the system are known and outputs a ranked list of interpretable master equation models that produce predicted measurement traces that closely match experimental data. We benchmark our algorithm on quantum optics experiments performed on single and pairs of quantum emitters. The latter case opens the possibility of cooperative emission effects and additional complexity due to the possible interplay between photon and phonon influences on the dynamics. Our algorithm retrieves various minimal models that are consistent with the experimental data, and which can provide a closer fit to measured data than previously suggested and physically expected approximate models. Our results represent an important step towards automated systems characterisation with an approach that is capable of working with diverse and tomographically incomplete input data. This may help with the development of theoretical models for unknown quantum systems as well as providing scientists with alternative interpretations of the data that they might not have originally envisioned and enabling them to challenge their original hypotheses.
format Preprint
id arxiv_https___arxiv_org_abs_2410_17942
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Learning the dynamics of Markovian open quantum systems from experimental data
Wallace, Stewart
Altmann, Yoann
Gerardot, Brian D.
Gauger, Erik M.
Bonato, Cristian
Quantum Physics
Mesoscale and Nanoscale Physics
Computational Physics
Data Analysis, Statistics and Probability
Optics
We present a Bayesian algorithm to identify generators of open quantum system dynamics, described by a Lindblad master equation, that are compatible with measured experimental data. The algorithm, based on a Markov Chain Monte Carlo approach, assumes the energy levels of the system are known and outputs a ranked list of interpretable master equation models that produce predicted measurement traces that closely match experimental data. We benchmark our algorithm on quantum optics experiments performed on single and pairs of quantum emitters. The latter case opens the possibility of cooperative emission effects and additional complexity due to the possible interplay between photon and phonon influences on the dynamics. Our algorithm retrieves various minimal models that are consistent with the experimental data, and which can provide a closer fit to measured data than previously suggested and physically expected approximate models. Our results represent an important step towards automated systems characterisation with an approach that is capable of working with diverse and tomographically incomplete input data. This may help with the development of theoretical models for unknown quantum systems as well as providing scientists with alternative interpretations of the data that they might not have originally envisioned and enabling them to challenge their original hypotheses.
title Learning the dynamics of Markovian open quantum systems from experimental data
topic Quantum Physics
Mesoscale and Nanoscale Physics
Computational Physics
Data Analysis, Statistics and Probability
Optics
url https://arxiv.org/abs/2410.17942