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    Towards improved quantum machine learning for molecular force fields

    Yannick Couzinié1,2,*, Shunsuke Daimon3, Hirofumi Nishi1,2,†, Natsuki Ito4, Yusuke Harazono4, and Yu-ichiro Matsushita1,2,3

    • *Contact author: yannick.couzinie@mailbox.org
    • †Contact author: hnishi@quemix.com

    Phys. Rev. A 112, 062442 – Published 22 December, 2025

    DOI: https://doi.org/10.1103/5s9m-h7yb

    Abstract

    This study explores the use of equivariant quantum neural networks (QNN) for generating molecular force fields, focusing on the rMD17 dataset. We consider a QNN architecture based on previous research and point out shortcomings in the parametrization of the atomic environments. These shortcomings limit its expressivity as an interatomic potential and precludes transferability between molecules. We propose a revised QNN architecture that addresses these shortcomings. While both QNNs show promise in force prediction, with the revised architecture showing improved accuracy, they struggle with energy prediction. Further, both QNNs architectures fail to demonstrate a meaningful scaling law of decreasing errors with increasing training data. These findings highlight the challenges of scaling QNNs for complex molecular systems and emphasize the need for improved encoding strategies, regularization techniques, and hybrid quantum-classical approaches.

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