量子混合架构加速地震波反演,8倍少迭代即达更优精度。
Accelerating physics-informed neural networks for full waveform inversion using a hybrid quantum-classical finite-basis architecture

- 用量子电路做波场与速度网络的混合计算,支持端到端训练。
- 仅需约1/8训练次数,速度误差比经典方法低,参数减少33%。
- 适合做复杂地质结构反演,也适用于超声成像等波场逆问题。
全波形反演(FWI)从接收器数据重建非均质介质属性,但计算成本高。物理信息神经网络(PINNs)及其域分解变体(FBPINNs)提供无网格替代方案,但在表示复杂速度场时面临收敛困难。本文提出一种用于声学FWI的混合量子-经典FBPINN,结合量子计算与经典机器学习:分解波场网络与全局速度网络通过经典到量子的管道连接至参数化量子电路(PQCs)。PQCs以可微分的JAX态矢量模拟器实现,支持从经典PINN、量子电路到物理损失函数的端到端自动微分。在地质异常基准测试中,该量子混合模型在约8倍少的训练迭代下达到更低的L1速度误差,且使用约33%更少的可训练参数,优于所有15个经典超参数变体。第二个棋盘基准验证了反演流程的通用性,表明该量子混合架构能恢复超出局部异常的结构化空间变化。本框架广泛适用于地震学以外的波基逆问题,如医学超声断层成像和无损检测。
原文摘要 · Abstract (English)
Full waveform inversion (FWI) reconstructs heterogeneous material properties from receiver data but remains computationally demanding. Physics-informed neural networks (PINNs) and their domain-decomposed variants (FBPINNs) offer a mesh-free alternative but face convergence challenges when representing complex velocity fields. We present a hybrid quantum-classical FBPINN for acoustic FWI, bringing together quantum computing and classical machine learning, in which the decomposed wavefield network and the global velocity network are implemented as classical-to-quantum pipelines terminating in parameterized quantum circuits (PQCs). The PQCs are realized as differentiable JAX statevector simulators, enabling end-to-end automatic differentiation through the classical PINN, the quantum circuit, and the physics-informed loss. On a geophysical anomaly benchmark, the quantum hybrid reaches a lower L1 velocity error than the primary classical FBPINN baseline in approximately 8x fewer training iterations, despite using approximately 33% fewer trainable parameters, and it outperforms all 15 classical hyperparameter variants tested. A second benchmark (checkerboard) demonstrates the generality of the inversion pipeline, confirming that the quantum hybrid architecture can recover structured spatial variations beyond the localized anomaly benchmark. Our framework is broadly applicable to wave-based inverse problems beyond geophysics, including medical ultrasound tomography and non-destructive evaluation.
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