Generalization in quantum machine learning from few training data

The power of quantum machine learning algorithms based on parametrised quantum circuits are still not fully understood. Here, the authors report rigorous bounds on the generalisation error in variational QML, confirming how known implementable models generalize well from an efficient amount of train...

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Main Authors: Matthias C. Caro, Hsin-Yuan Huang, M. Cerezo, Kunal Sharma, Andrew Sornborger, Lukasz Cincio, Patrick J. Coles
Format: Article
Language:English
Published: Nature Portfolio 2022-08-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-022-32550-3
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author Matthias C. Caro
Hsin-Yuan Huang
M. Cerezo
Kunal Sharma
Andrew Sornborger
Lukasz Cincio
Patrick J. Coles
author_facet Matthias C. Caro
Hsin-Yuan Huang
M. Cerezo
Kunal Sharma
Andrew Sornborger
Lukasz Cincio
Patrick J. Coles
author_sort Matthias C. Caro
collection DOAJ
description The power of quantum machine learning algorithms based on parametrised quantum circuits are still not fully understood. Here, the authors report rigorous bounds on the generalisation error in variational QML, confirming how known implementable models generalize well from an efficient amount of training data.
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spelling doaj.art-b4bb435a92dd4f239c5b6469734606ea2022-12-22T02:16:00ZengNature PortfolioNature Communications2041-17232022-08-0113111110.1038/s41467-022-32550-3Generalization in quantum machine learning from few training dataMatthias C. Caro0Hsin-Yuan Huang1M. Cerezo2Kunal Sharma3Andrew Sornborger4Lukasz Cincio5Patrick J. Coles6Department of Mathematics, Technical University of MunichInstitute for Quantum Information and Matter, CaltechInformation Sciences, Los Alamos National LaboratoryJoint Center for Quantum Information and Computer Science, University of MarylandInformation Sciences, Los Alamos National LaboratoryTheoretical Division, Los Alamos National LaboratoryTheoretical Division, Los Alamos National LaboratoryThe power of quantum machine learning algorithms based on parametrised quantum circuits are still not fully understood. Here, the authors report rigorous bounds on the generalisation error in variational QML, confirming how known implementable models generalize well from an efficient amount of training data.https://doi.org/10.1038/s41467-022-32550-3
spellingShingle Matthias C. Caro
Hsin-Yuan Huang
M. Cerezo
Kunal Sharma
Andrew Sornborger
Lukasz Cincio
Patrick J. Coles
Generalization in quantum machine learning from few training data
Nature Communications
title Generalization in quantum machine learning from few training data
title_full Generalization in quantum machine learning from few training data
title_fullStr Generalization in quantum machine learning from few training data
title_full_unstemmed Generalization in quantum machine learning from few training data
title_short Generalization in quantum machine learning from few training data
title_sort generalization in quantum machine learning from few training data
url https://doi.org/10.1038/s41467-022-32550-3
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AT andrewsornborger generalizationinquantummachinelearningfromfewtrainingdata
AT lukaszcincio generalizationinquantummachinelearningfromfewtrainingdata
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