A unifying primary framework for quantum graph neural networks from quantum graph states
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Abstract (arXiv)
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 show that they can be used either as a parameterized quantum circuits to represent neural networks or as an underlying structure to construct graph neural networks on quantum computers.
Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Builds on 22 of its 38 references that are in the map. First posted on arXiv 20 Feb 2024.
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References · 22
- 2018How Powerful are Graph Neural Networks?cited by 4,355
- 2017Neural Message Passing for Quantum Chemistrycited by 3,460
- 2019A Comprehensive Survey on Graph Neural Networkscited by 2,906
- 2018Graph Neural Networks: A Review of Methods and Applicationscited by 1,571
- 2019Simplifying Graph Convolutional Networkscited by 1,470
- 2021Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gaugescited by 1,131
- 2018Link Prediction Based on Graph Neural Networkscited by 829
- 2015Convolutional Networks on Graphs for Learning Molecular Fingerprintscited by 751
- 2019Graph Neural Networks for Social Recommendationcited by 711
- 2019Graph U-Netscited by 489
- 2019Self-Attention Graph Poolingcited by 421
- 2021Combinatorial optimization and reasoning with graph neural networkscited by 267
10 more
- 2023Everything is Connected: Graph Neural Networkscited by 85
- 2023Evaluating Graph Neural Networks for Link Prediction: Current Pitfalls and New Benchmarkingcited by 69
- 2019Quantum Graph Neural Networkscited by 66
- 2023Financial Fraud Detection using Quantum Graph Neural Networkscited by 35
- 2021Hybrid Quantum-Classical Graph Convolutional Networkcited by 21
- 2021Hybrid Quantum Classical Graph Neural Networks for Particle Track Reconstructioncited by 20
- 2021Quantum Graph Convolutional Neural Networkscited by 18
- 2022Towards Quantum Graph Neural Networks: An Ego-Graph Learning Approachcited by 8
- 2018A Simple Quantum Neural Net with a Periodic Activation Functioncited by 7
- 2022Quantum implementation of circulant matrices and its use in quantum string processingcited by 1
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