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Mathematical principles and quantum circuit implementation of spatial‐based quantum graph convolution operation. a) Update the representation of node A based on the message passing paradigm. b) Mathematical formulation for feature aggregation of node A. c) Implementation of quantum feature aggregation for the first‐dimensional feature of node A. d) Quantum aggregation circuit for node A. e) Quantum circuit for the 3‐qubit inverse quantum Fourier transform.
Source publication
With the rapid advancement of quantum computing, the exploration of quantum graph neural networks is gradually emerging. However, the absence of a circuit framework for quantum implementation and limited physical qubits hinder their realization on real quantum computers. To address these challenges, this paper proposes a spatial‐based quantum graph...
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