用量子卷积网络预测慕尼黑地下水温变化,探索量子计算在环境建模中的潜力。
Quantum Convolutional Neural Networks for Groundwater Heat Plume Prediction: A Surrogate Modeling Approach

- 设计量子卷积层与池化层,结合哈密顿编码实现高效特征输入
- 在127量子比特处理器上,误差缓解后预测性能显著提升
- 适合关注量子机器学习与环境模拟交叉应用的研究者
量子机器学习方法正被越来越多地用于建模复杂环境系统,包括地下水热羽流动力学。本文探索了量子卷积神经网络(QCNN)作为替代模型,用于预测慕尼黑城市地源热泵引起的地下水温度变化。为适应当前量子硬件的可扩展性限制,将原始高维仿真输出降维为一组代表性参数作为训练目标。所提QCNN架构包含量子卷积层、量子池化层和全连接量子读出阶段。卷积与池化操作通过基于旋转门的参数化量子电路及测量驱动解码实现,输入状态采用哈密顿启发式特征编码方案准备。模型在多种执行后端评估:理想态向量模拟器、噪声模拟器、IBM 127量子比特Kyiv处理器及其结合先进纠错技术的版本。采用真实噪声模型模拟设备行为,评估纠错策略影响。性能以训练集和测试集上的均方误差(MSE)为基准。结果表明,尽管经典神经网络仍具更高预测精度,但QCNN在模拟器上表现良好且在纠错硬件条件下出现明显提升。这表明量子增强替代建模是未来地下水温度预测的有前景方向,随着量子硬件与纠错技术发展而持续可行。
原文摘要 · Abstract (English)
Quantum machine learning methods are increasingly explored for modeling complex environmental systems, including groundwater heat plume dynamics. In this work, we explore a Quantum Convolutional Neural Network (QCNN) as a surrogate model for predicting temperature variations in groundwater induced by geothermal heat pumps in the city of Munich. To comply with the scalability constraints of current quantum hardware, the original high-dimensional simulation output is reduced to a compact set of representative parameters that serve as training targets for the surrogate. The proposed QCNN architecture consists of a quantum convolutional layer, a quantum pooling layer, and a fully connected quantum readout stage. Convolution and pooling operations are realized via parameterized quantum circuits based on rotational gates and measurement-driven decoding, while a Hamiltonian-inspired feature-encoding scheme is used to prepare informative input states on the quantum device. We evaluate the QCNN across multiple execution backends, including an ideal statevector simulator, a noisy simulator, IBM's 127-qubit Kyiv quantum processor, and the same hardware augmented with advanced error-mitigation techniques. Realistic noise models are employed to approximate device behavior and to assess the impact of mitigation strategies. Model performance is benchmarked using mean squared error (MSE) on both training and testing sets. The results show that, although classical neural networks still achieve the highest predictive accuracy, the QCNN attains competitive and consistent performance on simulators and exhibits noticeable improvement under error-mitigated hardware conditions. These findings indicate that quantum-enhanced surrogate modeling is a promising direction for future groundwater temperature prediction as quantum hardware and error-mitigation techniques continue to mature.
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