arXiv:2603.23984cs.LGphysics.geo-ph2026-03

用量子与经典网络协同,提升地震数据处理的精度与保真度。

Transcending Classical Neural Network Boundaries: A Quantum-Classical Synergistic Paradigm for Seismic Data Processing

  • 构建量子-经典协同生成对抗网络,融合量子高维特征与卷积结构提取。
  • 在降噪与插值任务中保持波场连续性,有效保留相位与振幅信息。
  • 适合地震勘探、信号处理等领域研究者参考,推动量子深度学习应用。

近年来,多种神经网络方法在地震数据处理中表现出色,如去噪、插值和频带扩展。然而,这些方法依赖堆叠的感知机与标准激活函数,限制了深度学习模型的表征能力,难以捕捉地震波场复杂的非平稳动态。不同于受限于实数欧几里得空间的经典感知机堆叠网络,量子神经网络利用量子力学的指数态空间,将特征映射到高维希尔伯特空间,突破经典网络的表征边界。基于此,本文提出首个应用于地震勘探的量子-经典协同生成对抗网络(QC-GAN)。在该模型中,量子路径用于挖掘高阶特征相关性,而卷积路径专注于提取地震波场的波形结构。此外,设计了量子特征互补损失函数,强制两个路径在特征空间正交,确保信息不重叠,增强特征表示能力。实验结果表明,在降噪与插值任务中,所提方法在复杂噪声条件下仍能有效保持波场连续性与振幅-相位信息。

原文摘要 · Abstract (English)

In recent years, a number of neural-network (NN) methods have exhibited good performance in seismic data processing, such as denoising, interpolation, and frequency-band extension. However, these methods rely on stacked perceptrons and standard activation functions, which imposes a bottleneck on the representational capacity of deep-learning models, making it difficult to capture the complex and non-stationary dynamics of seismic wavefields. Different from the classical perceptron-stacked NNs which are fundamentally confined to real-valued Euclidean spaces, the quantum NNs leverage the exponential state space of quantum mechanics to map the features into high-dimensional Hilbert spaces, transcending the representational boundary of classical NNs. Based on this insight, we propose a quantum-classical synergistic generative adversarial network (QC-GAN) for seismic data processing, serving as the first application of quantum NNs in seismic exploration. In QC-GAN, a quantum pathway is used to exploit the high-order feature correlations, while the convolutional pathway specializes in extracting the waveform structures of seismic wavefields. Furthermore, we design a QC feature complementarity loss to enforce the feature orthogonality in the proposed QC-GAN. This novel loss function can ensure that the two pathways encode non-overlapping information to enrich the capacity of feature representation. On the whole, by synergistically integrating the quantum and convolutional pathways, the proposed QC-GAN breaks the representational bottleneck inherent in classical GAN. Experimental results on denoising and interpolation tasks demonstrate that QC-GAN preserves wavefield continuity and amplitude-phase information under complex noise conditions.

量子计算地震处理生成对抗网络

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