用量子生成模型学习流体模拟的压缩潜空间,首次验证其优于经典方法。
Quantum Generative Models for Computational Fluid Dynamics: A First Exploration of Latent Space Learning in Lattice Boltzmann Simulations
- 用VQ-VAE将流体数据压缩到7维离散潜空间
- 量子模型生成样本与真实分布距离更近,QCBM表现最佳
- 适合对量子机器学习与物理模拟交叉研究感兴趣的学者
本文首次将量子生成模型应用于计算流体力学(CFD)数据的潜空间表示学习。尽管已有研究探索量子模型对流体系统统计特性的建模,但将离散潜空间压缩与量子生成采样结合用于CFD仍属空白。我们开发了基于GPU加速的格子玻尔兹曼方法(LBM)模拟器,生成流体涡度场,并利用向量量化变分自编码器(VQ-VAE)将其压缩至7维离散潜空间。核心贡献是对量子与经典生成方法在该物理衍生潜分布上的对比分析:评估了量子电路玻恩机(QCBM)和量子生成对抗网络(QGAN)相较于经典长短期记忆网络(LSTM)的表现。在实验条件下,两种量子模型生成样本与真实分布的平均最小距离均低于LSTM,其中QCBM表现最优。本工作提供了:(1)连接CFD模拟与量子机器学习的完整开源流程;(2)首个针对物理模拟压缩潜表示的量子生成建模实证研究;(3)为该交叉领域的后续严谨研究奠定基础。
原文摘要 · Abstract (English)
This paper presents the first application of quantum generative models to learned latent space representations of computational fluid dynamics (CFD) data. While recent work has explored quantum models for learning statistical properties of fluid systems, the combination of discrete latent space compression with quantum generative sampling for CFD remains unexplored. We develop a GPU-accelerated Lattice Boltzmann Method (LBM) simulator to generate fluid vorticity fields, which are compressed into a discrete 7-dimensional latent space using a Vector Quantized Variational Autoencoder (VQ-VAE). The central contribution is a comparative analysis of quantum and classical generative approaches for modeling this physics-derived latent distribution: we evaluate a Quantum Circuit Born Machine (QCBM) and Quantum Generative Adversarial Network (QGAN) against a classical Long Short-Term Memory (LSTM) baseline. Under our experimental conditions, both quantum models produced samples with lower average minimum distances to the true distribution compared to the LSTM, with the QCBM achieving the most favorable metrics. This work provides: (1)~a complete open-source pipeline bridging CFD simulation and quantum machine learning, (2)~the first empirical study of quantum generative modeling on compressed latent representations of physics simulations, and (3)~a foundation for future rigorous investigation at this intersection.
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