Lorentz-Equivariant Quantum Graph Neural Network for High-Energy Physics

TL;DR

This paper introduces Lorentz-EQGNN, a quantum graph neural network leveraging Lorentz symmetry and quantum circuits, achieving superior performance in high-energy physics datasets with fewer parameters and enhanced noise robustness.

Contribution

The paper presents a novel Lorentz-equivariant quantum GNN architecture that outperforms classical models by integrating quantum circuits and symmetry preservation, reducing parameter count and improving robustness.

Findings

Achieved 74% test accuracy on Quark-Gluon jet tagging.

Demonstrated competitive results on Electron-Photon dataset with 67% accuracy.

Validated efficiency on MNIST and FashionMNIST datasets.

Abstract

The rapid data surge from the high-luminosity Large Hadron Collider introduces critical computational challenges requiring novel approaches for efficient data processing in particle physics. Quantum machine learning, with its capability to leverage the extensive Hilbert space of quantum hardware, offers a promising solution. However, current quantum graph neural networks (GNNs) lack robustness to noise and are often constrained by fixed symmetry groups, limiting adaptability in complex particle interaction modeling. This paper demonstrates that replacing the Lorentz Group Equivariant Block modules in LorentzNet with a dressed quantum circuit significantly enhances performance despite using nearly 5.5 times fewer parameters. Additionally, quantum circuits effectively replace MLPs by inherently preserving symmetries, with Lorentz symmetry integration ensuring robust handling of relativistic invariance. Our Lorentz-Equivariant Quantum Graph Neural Network (Lorentz-EQGNN) achieved $74.00\%$ test accuracy and an AUC of $87.38\%$ on the Quark-Gluon jet tagging dataset, outperforming the classical and quantum GNNs with a reduced architecture using only 4 qubits. On the Electron-Photon dataset, Lorentz-EQGNN reached $67.00\%$ test accuracy and an AUC of $68.20\%$, demonstrating competitive results with just 800 training samples. Evaluation of our model on generic MNIST and FashionMNIST datasets confirmed Lorentz-EQGNN's efficiency, achieving $88.10\%$ and $74.80\%$ test accuracy, respectively. Ablation studies validated the impact of quantum components on performance, with notable improvements in background rejection rates over classical counterparts. These results highlight Lorentz-EQGNN's potential for immediate applications in noise-resilient jet tagging, event classification, and broader data-scarce HEP tasks.