Quantum-enhanced neural networks for quantum many-body simulations

Fuente: arXiv
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Hauptverfasser: Zhang, Zongkang, Li, Ying, Xu, Xiaosi
Format: Preprint
Veröffentlicht: 2025
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author Zhang, Zongkang
Li, Ying
Xu, Xiaosi
author_facet Zhang, Zongkang
Li, Ying
Xu, Xiaosi
contents Neural quantum states (NQS) have gained prominence in variational quantum Monte Carlo methods in approximating ground-state wavefunctions. Despite their success, they face limitations in optimization, scalability, and expressivity in addressing certain problems. In this work, we propose a quantum-neural hybrid framework that combines parameterized quantum circuits with neural networks to model quantum many-body wavefunctions. This approach combines the efficient sampling and optimization capabilities of autoregressive neural networks with the enhanced expressivity provided by quantum circuits. Numerical simulations demonstrate the scalability and accuracy of the hybrid ansatz in spin systems and quantum chemistry problems. Our results reveal that the hybrid method achieves notably lower relative energy compared to standalone NQS. These findings underscore the potential of quantum-neural hybrid methods for tackling challenging problems in quantum many-body simulations.
format Preprint
id arxiv_https___arxiv_org_abs_2501_12130
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum-enhanced neural networks for quantum many-body simulations
Zhang, Zongkang
Li, Ying
Xu, Xiaosi
Quantum Physics
Neural quantum states (NQS) have gained prominence in variational quantum Monte Carlo methods in approximating ground-state wavefunctions. Despite their success, they face limitations in optimization, scalability, and expressivity in addressing certain problems. In this work, we propose a quantum-neural hybrid framework that combines parameterized quantum circuits with neural networks to model quantum many-body wavefunctions. This approach combines the efficient sampling and optimization capabilities of autoregressive neural networks with the enhanced expressivity provided by quantum circuits. Numerical simulations demonstrate the scalability and accuracy of the hybrid ansatz in spin systems and quantum chemistry problems. Our results reveal that the hybrid method achieves notably lower relative energy compared to standalone NQS. These findings underscore the potential of quantum-neural hybrid methods for tackling challenging problems in quantum many-body simulations.
title Quantum-enhanced neural networks for quantum many-body simulations
topic Quantum Physics
url https://arxiv.org/abs/2501.12130