A Study on Quantum Graph Neural Networks Applied to Molecular Physics

Fuente: arXiv
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Autori principali: Piperno, Simone, Ceschini, Andrea, Chang, Su Yeon, Grossi, Michele, Vallecorsa, Sofia, Panella, Massimo
Natura: Preprint
Pubblicazione: 2024
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author Piperno, Simone
Ceschini, Andrea
Chang, Su Yeon
Grossi, Michele
Vallecorsa, Sofia
Panella, Massimo
author_facet Piperno, Simone
Ceschini, Andrea
Chang, Su Yeon
Grossi, Michele
Vallecorsa, Sofia
Panella, Massimo
contents This paper introduces a novel architecture for Quantum Graph Neural Networks, which is significantly different from previous approaches found in the literature. The proposed approach produces similar outcomes with respect to previous models but with fewer parameters, resulting in an extremely interpretable architecture rooted in the underlying physics of the problem. The architectural novelties arise from three pivotal aspects. Firstly, we employ an embedding updating method that is analogous to classical Graph Neural Networks, therefore bridging the classical-quantum gap. Secondly, each layer is devoted to capturing interactions of distinct orders, aligning with the physical properties of the system. Lastly, we harness SWAP gates to emulate the problem's inherent symmetry, a novel strategy not found currently in the literature. The obtained results in the considered experiments are encouraging to lay the foundation for continued research in this field.
format Preprint
id arxiv_https___arxiv_org_abs_2408_03427
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Study on Quantum Graph Neural Networks Applied to Molecular Physics
Piperno, Simone
Ceschini, Andrea
Chang, Su Yeon
Grossi, Michele
Vallecorsa, Sofia
Panella, Massimo
Quantum Physics
This paper introduces a novel architecture for Quantum Graph Neural Networks, which is significantly different from previous approaches found in the literature. The proposed approach produces similar outcomes with respect to previous models but with fewer parameters, resulting in an extremely interpretable architecture rooted in the underlying physics of the problem. The architectural novelties arise from three pivotal aspects. Firstly, we employ an embedding updating method that is analogous to classical Graph Neural Networks, therefore bridging the classical-quantum gap. Secondly, each layer is devoted to capturing interactions of distinct orders, aligning with the physical properties of the system. Lastly, we harness SWAP gates to emulate the problem's inherent symmetry, a novel strategy not found currently in the literature. The obtained results in the considered experiments are encouraging to lay the foundation for continued research in this field.
title A Study on Quantum Graph Neural Networks Applied to Molecular Physics
topic Quantum Physics
url https://arxiv.org/abs/2408.03427