用量子神经网络加速桥梁结构实时健康监测,精度远超传统方法。
Hybrid Quantum Classical Surrogate for Real Time Inverse Finite Element Modeling in Digital Twins
- 结合量子电路与经典网络,将传感器数据映射为高维应力场
- 在桥梁测试中实现10⁻¹⁰量级均方误差,显著优于纯经典模型
- 适合需要快速更新数字孪生的大型基础设施监控场景
大型土木结构如桥梁、管道和海上平台对现代基础设施至关重要,其突发故障可能造成重大经济损失与安全风险。尽管有限元(FE)建模广泛用于实时结构健康监测(SHM),但其高计算成本及逆向FE分析的复杂性——需将低维传感器数据映射到高维位移或应力场——仍构成挑战。本文提出一种混合量子-经典多层感知机(QMLP)框架,以应对这些问题,并促进多种结构应用中数字孪生的快速更新。该方法利用对称正定(SPD)矩阵与多项式特征嵌入传感器数据,生成适合量子处理的表示;参数化量子电路(PQC)转换这些特征,量子输出再输入经典神经网络进行最终推断。通过融合量子能力与经典建模,QMLP在保持计算可行性的同时完成大规模逆向FE映射。在桥梁上的大量实验表明,QMLP实现均方误差(MSE)为3.16×10⁻¹¹,显著优于纯经典基线。结果证实量子增强方法在实时SHM中的潜力,为更高效、可扩展的数字孪生提供了路径,使其能够近实时地稳健监测与诊断结构完整性。
原文摘要 · Abstract (English)
Large-scale civil structures, such as bridges, pipelines, and offshore platforms, are vital to modern infrastructure, where unexpected failures can cause significant economic and safety repercussions. Although finite element (FE) modeling is widely used for real-time structural health monitoring (SHM), its high computational cost and the complexity of inverse FE analysis, where low dimensional sensor data must map onto high-dimensional displacement or stress fields pose ongoing challenges. Here, we propose a hybrid quantum classical multilayer perceptron (QMLP) framework to tackle these issues and facilitate swift updates to digital twins across a range of structural applications. Our approach embeds sensor data using symmetric positive definite (SPD) matrices and polynomial features, yielding a representation well suited to quantum processing. A parameterized quantum circuit (PQC) transforms these features, and the resultant quantum outputs feed into a classical neural network for final inference. By fusing quantum capabilities with classical modeling, the QMLP handles large scale inverse FE mapping while preserving computational viability. Through extensive experiments on a bridge, we demonstrate that the QMLP achieves a mean squared error (MSE) of 0.0000000000316, outperforming purely classical baselines with a large margin. These findings confirm the potential of quantum-enhanced methods for real time SHM, establishing a pathway toward more efficient, scalable digital twins that can robustly monitor and diagnose structural integrity in near real time.
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