dc.contributor.author
Caro, Matthias C.
dc.contributor.author
Huang, Hsin-Yuan
dc.contributor.author
Ezzell, Nicholas
dc.contributor.author
Gibbs, Joe
dc.contributor.author
Sornborger, Andrew T.
dc.contributor.author
Cincio, Lukasz
dc.contributor.author
Coles, Patrick J.
dc.contributor.author
Holmes, Zoë
dc.date.accessioned
2023-07-07T07:27:56Z
dc.date.available
2023-07-07T07:27:56Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/39975
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-39697
dc.description.abstract
Generalization bounds are a critical tool to assess the training data requirements of Quantum Machine Learning (QML). Recent work has established guarantees for in-distribution generalization of quantum neural networks (QNNs), where training and testing data are drawn from the same data distribution. However, there are currently no results on out-of-distribution generalization in QML, where we require a trained model to perform well even on data drawn from a different distribution to the training distribution. Here, we prove out-of-distribution generalization for the task of learning an unknown unitary. In particular, we show that one can learn the action of a unitary on entangled states having trained only product states. Since product states can be prepared using only single-qubit gates, this advances the prospects of learning quantum dynamics on near term quantum hardware, and further opens up new methods for both the classical and quantum compilation of quantum circuits.
en
dc.format.extent
9 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by/4.0/
dc.subject
computer science
en
dc.subject
quantum information
en
dc.subject
quantum dynamics
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::530 Physik::530 Physik
dc.title
Out-of-distribution generalization for learning quantum dynamics
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.articlenumber
3751
dcterms.bibliographicCitation.doi
10.1038/s41467-023-39381-w
dcterms.bibliographicCitation.journaltitle
Nature Communications
dcterms.bibliographicCitation.volume
14
dcterms.bibliographicCitation.url
https://doi.org/10.1038/s41467-023-39381-w
refubium.affiliation
Physik
refubium.affiliation.other
Dahlem Center für komplexe Quantensysteme
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refubium.funding
Springer Nature DEAL
refubium.note.author
Die Publikation wurde aus Open Access Publikationsgeldern der Freien Universität Berlin gefördert.
refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.eissn
2041-1723