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Recent advances in computational modelling of atomic systems, spanning molecules, proteins, and materials, represent them as geometric graphs with atoms embedded as nodes in 3D Euclidean space. In these graphs, the geometric attributes…

Quantum neural networks (QNNs) represent a pioneering intersection of quantum computing and deep learning. In this study, we unveil a fundamental convolution property inherent to QNNs, stemming from the natural parallelism of quantum gate…

Quantum Physics · Physics 2025-04-14 Guangkai Qu , Zhimin Wang , Guoqiang Zhong , Yongjian Gu

Many computational problems are unchanged under some symmetry operation. In classical machine learning, this can be reflected with the layer structure of the neural network. In quantum machine learning, the ansatz can be tuned to correspond…

We develop and implement two realizations of quantum graph neural networks (QGNN), applied to the task of particle interaction simulation. The first QGNN is a speculative quantum-classical hybrid learning model that relies on the ability to…

In recent years, new neural network architectures designed to operate on graph-structured data have pushed the state-of-the-art in the field. A large set of these architectures utilize a form of classical random walks to diffuse…

Quantum Physics · Physics 2018-06-18 Stefan Dernbach , Arman Mohseni-Kabir , Siddharth Pal , Don Towsley , Miles Gepner

The rapid development of quantum computers promises transformative impacts across diverse fields of science and technology. Quantum neural networks (QNNs), as a forefront application, hold substantial potential. Despite the multitude of…

Quantum Physics · Physics 2025-05-20 Lucas Friedrich , Jonas Maziero

Graphs are a fundamental representation of complex, nonlinear structured data across various domains, including social networks and quantum systems. Quantum Graph Recurrent Neural Networks (QGRNNs) have been proposed to model quantum…

Quantum Physics · Physics 2025-07-01 Jawaher Kaldari , Saif Al-Kuwari

Quantum walks are at the heart of modern quantum technologies. They allow to deal with quantum transport phenomena and are an advanced tool for constructing novel quantum algorithms. Quantum walks on graphs are fundamentally different from…

Quantum Physics · Physics 2019-12-18 Alexey A. Melnikov , Leonid E. Fedichkin , Alexander Alodjants

Quantum machine learning is a fast-emerging field that aims to tackle machine learning using quantum algorithms and quantum computing. Due to the lack of physical qubits and an effective means to map real-world data from Euclidean space to…

Quantum Physics · Physics 2024-01-22 Xing Ai , Zhihong Zhang , Luzhe Sun , Junchi Yan , Edwin Hancock

This paper proposes a new Quantum Spatial Graph Convolutional Neural Network (QSGCNN) model that can directly learn a classification function for graphs of arbitrary sizes. Unlike state-of-the-art Graph Convolutional Neural Network (GCNN)…

Machine Learning · Computer Science 2023-04-04 Lu Bai , Yuhang Jiao , Luca Rossi , Lixin Cui , Jian Cheng , Edwin R. Hancock

We present a new approach, the Topograph, which reconstructs underlying physics processes, including the intermediary particles, by leveraging underlying priors from the nature of particle physics decays and the flexibility of message…

High Energy Physics - Phenomenology · Physics 2023-10-16 Lukas Ehrke , John Andrew Raine , Knut Zoch , Manuel Guth , Tobias Golling

Building a quantum analog of classical deep neural networks represents a fundamental challenge in quantum computing. A key issue is how to address the inherent non-linearity of classical deep learning, a problem in the quantum domain due to…

Rapid advancements in machine learning (ML) are transforming materials science by significantly speeding up material property calculations. However, the proliferation of ML approaches has made it challenging for scientists to keep up with…

Machine Learning · Computer Science 2024-07-12 Ali Ramlaoui , Théo Saulus , Basile Terver , Victor Schmidt , David Rolnick , Fragkiskos D. Malliaros , Alexandre Duval

Many physical systems can be best understood as sets of discrete data with associated relationships. Where previously these sets of data have been formulated as series or image data to match the available machine learning architectures,…

Graph Neural Networks (GNNs) have become a prevailing tool for learning physical dynamics. However, they still encounter several challenges: 1) Physical laws abide by symmetry, which is a vital inductive bias accounting for model…

Machine Learning · Computer Science 2022-10-14 Jiaqi Han , Wenbing Huang , Hengbo Ma , Jiachen Li , Joshua B. Tenenbaum , Chuang Gan

The prediction of physicochemical properties from molecular structures is a crucial task for artificial intelligence aided molecular design. A growing number of Graph Neural Networks (GNNs) have been proposed to address this challenge.…

Machine Learning · Computer Science 2020-11-17 Shuo Zhang , Yang Liu , Lei Xie

Graph neural networks (GNNs), as topology/structure-aware models within deep learning, have emerged as powerful tools for AI-aided drug discovery (AIDD). By directly operating on molecular graphs, GNNs offer an intuitive and expressive…

Biomolecules · Quantitative Biology 2025-06-10 Odin Zhang , Haitao Lin , Xujun Zhang , Xiaorui Wang , Zhenxing Wu , Qing Ye , Weibo Zhao , Jike Wang , Kejun Ying , Yu Kang , Chang-yu Hsieh , Tingjun Hou

Most of current neural network models in quantum chemistry (QC) exclude the molecular symmetry, separate the well-correlated real space (R space), and momenta space (K space) into two individuals, which lack the essential physics in…

Chemical Physics · Physics 2020-10-28 Shuqian Ye , Jiechun Liang , Rulin Liu , Xi Zhu

Node embeddings act as the information interface for graph neural networks, yet their empirical impact is often reported under mismatched backbones, splits, and training budgets. This paper provides a controlled benchmark of embedding…

Machine Learning · Computer Science 2026-04-17 Nouhaila Innan , Antonello Rosato , Alberto Marchisio , Muhammad Shafique

In hierarchal order of molecular geometry, we compare the performances of Geometric Quantum Machine Learning models. Two molecular datasets are considered: the simplistic linear shaped LiH-molecule and the trigonal pyramidal molecule NH3.…

Machine Learning · Computer Science 2025-12-08 Saumya Biswas , Jiten Oswal