Abstract
AbstractGeneralization 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.
Funder
Studienstiftung des Deutschen Volkes
State Ministry of Education and Culture, Science and the Arts | Elitenetzwerk Bayern
Bundesministerium für Wirtschaft und Technologie
Deutscher Akademischer Austauschdienst
Google
U.S. Department of Energy
DOE | LDRD | Los Alamos National Laboratory
Publisher
Springer Science and Business Media LLC
Subject
General Physics and Astronomy,General Biochemistry, Genetics and Molecular Biology,General Chemistry,Multidisciplinary
Cited by
5 articles.
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