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On physics-informed neural networks for quantum computers
KTH, School of Electrical Engineering and Computer Science (EECS), Computer Science.ORCID iD: 0000-0003-0639-0639
2022 (English)In: FRONTIERS IN APPLIED MATHEMATICS AND STATISTICS, ISSN 2297-4687, Vol. 8, article id 1036711Article in journal (Refereed) Published
Abstract [en]

Physics-Informed Neural Networks (PINN) emerged as a powerful tool for solving scientific computing problems, ranging from the solution of Partial Differential Equations to data assimilation tasks. One of the advantages of using PINN is to leverage the usage of Machine Learning computational frameworks relying on the combined usage of CPUs and co-processors, such as accelerators, to achieve maximum performance. This work investigates the design, implementation, and performance of PINNs, using the Quantum Processing Unit (QPU) co-processor. We design a simple Quantum PINN to solve the one-dimensional Poisson problem using a Continuous Variable (CV) quantum computing framework. We discuss the impact of different optimizers, PINN residual formulation, and quantum neural network depth on the quantum PINN accuracy. We show that the optimizer exploration of the training landscape in the case of quantum PINN is not as effective as in classical PINN, and basic Stochastic Gradient Descent (SGD) optimizers outperform adaptive and high-order optimizers. Finally, we highlight the difference in methods and algorithms between quantum and classical PINNs and outline future research challenges for quantum PINN development.

Place, publisher, year, edition, pages
Frontiers Media SA , 2022. Vol. 8, article id 1036711
Keywords [en]
quantum physics-informed neural network, Poisson equation, quantum neural networks, continuous variable quantum computing, heterogeneous QPU CPU computing
National Category
Computer Sciences
Identifiers
URN: urn:nbn:se:kth:diva-322133DOI: 10.3389/fams.2022.1036711ISI: 000885109200001Scopus ID: 2-s2.0-85141808737OAI: oai:DiVA.org:kth-322133DiVA, id: diva2:1715678
Note

QC 20221202

Available from: 2022-12-02 Created: 2022-12-02 Last updated: 2022-12-02Bibliographically approved

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Markidis, Stefano

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CiteExportLink to record
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Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf