arXiv:2512.20654cs.LGquant-ph2025-12

用经典网络模拟量子数据重加载,显著提升模型表达能力。

Q-RUN: Quantum-Inspired Data Re-uploading Networks

  • 将量子电路的数据重加载机制移植到经典网络中
  • 参数减少的同时误差降低1~3个数量级
  • 可直接替换全连接层,适配多种神经网络结构

数据重加载量子电路(DRQC)是实现量子神经网络的关键方法,已被证明在拟合高频函数方面优于经典神经网络。然而,其实际应用受限于当前量子硬件的可扩展性。本文提出一种量子启发的数据重加载网络(Q-RUN),将DRQC的数学框架引入经典模型,保留了量子模型的傅里叶表达优势,且无需量子硬件支持。实验表明,Q-RUN在数据建模与预测任务中均表现优异,相比全连接层和当前最先进的神经网络层,在特定任务上参数量更少,误差降低约1至3个数量级。值得注意的是,Q-RUN可作为标准全连接层的即插即用替代品,显著提升多种神经网络架构的性能。该工作展示了量子机器学习原理如何指导更强大人工智能模型的设计。

原文摘要 · Abstract (English)

Data re-uploading quantum circuits (DRQC) are a key approach to implementing quantum neural networks and have been shown to outperform classical neural networks in fitting high-frequency functions. However, their practical application is limited by the scalability of current quantum hardware. In this paper, we introduce the mathematical paradigm of DRQC into classical models by proposing a quantum-inspired data re-uploading network (Q-RUN), which retains the Fourier-expressive advantages of quantum models without any quantum hardware. Experimental results demonstrate that Q-RUN delivers superior performance across both data modeling and predictive modeling tasks. Compared to the fully connected layers and the state-of-the-art neural network layers, Q-RUN reduces model parameters while decreasing error by approximately one to three orders of magnitude on certain tasks. Notably, Q-RUN can serve as a drop-in replacement for standard fully connected layers, improving the performance of a wide range of neural architectures. This work illustrates how principles from quantum machine learning can guide the design of more expressive artificial intelligence.

量子启发神经网络模型压缩

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