https://doi.org/10.1140/epjs/s11734-024-01382-1
Regular Article
A unifying primary framework for QGNNs from quantum graph states
Department of Computer Engineering, Istanbul Medeniyet University, 34700, Uskudar, Istanbul, Turkey
Received:
8
March
2024
Accepted:
20
October
2024
Published online:
30
October
2024
Graph states are used to represent mathematical graphs as quantum states on quantum computers. They can be formulated through stabilizer codes, or directly quantum gates and quantum states. In this paper, we show that a quantum graph neural network model can be understood and realized based on graph states. We then show that the graph states can be used either as a parametrized quantum circuits to represent neural networks or as an underlying structure to construct graph neural networks on quantum computers.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.