arXiv:2505.08474quant-phcs.AI2025-05被引 6

用光量子网络生成神经网络参数,实现高效压缩与高精度分类。

Distributed Quantum Neural Networks on Distributed Photonic Quantum Computing

  • 光量子神经网络结合矩阵乘积态映射生成参数,降低训练复杂度。
  • 3292个参数达95.50%准确率,压缩至4倍时损失小于3%。
  • 无需量子硬件推理,适合部署于经典计算环境,适合量子机器学习初学者。

我们提出一种分布式量子-经典框架,将光量子神经网络(QNN)与矩阵乘积态(MPS)映射结合,实现经典神经网络的参数高效训练。通过利用M模干涉仪的通用线性光学分解和光子计数测量统计,该架构在混合量子-经典流程中生成神经参数:具有$M(M+1)/2$个可训练参数的光量子QNN产生高维概率分布,并通过键维数$χ$的MPS模型映射为经典网络权重。在MNIST分类任务中,光量子模型使用3,292个参数($χ=10$)达到$95.50\% \pm 0.84\%$准确率,优于使用6,690参数的经典基线模型($96.89\% \pm 0.31\%$)。当$χ=4$时,实现十倍压缩比,相对准确率损失低于$3\%$。该框架在绝对准确率上优于经典压缩技术(权重共享/剪枝)6–12%,且推理阶段无需量子硬件。模拟包含真实光子噪声,验证了其对近中期硬件缺陷的鲁棒性。消融实验表明量子必要性:以随机输入替代光量子QNN会使准确率降至偶然水平($10.0\% \pm 0.5\%$)。光量子计算可在室温运行,通过空间模式复用实现天然可扩展性,并与高性能计算集成,为分布式量子机器学习提供实用路径,兼具光量子希尔伯特空间的表达力与经典网络的可部署性。

原文摘要 · Abstract (English)

We introduce a distributed quantum-classical framework that synergizes photonic quantum neural networks (QNNs) with matrix-product-state (MPS) mapping to achieve parameter-efficient training of classical neural networks. By leveraging universal linear-optical decompositions of $M$-mode interferometers and photon-counting measurement statistics, our architecture generates neural parameters through a hybrid quantum-classical workflow: photonic QNNs with $M(M+1)/2$ trainable parameters produce high-dimensional probability distributions that are mapped to classical network weights via an MPS model with bond dimension $χ$. Empirical validation on MNIST classification demonstrates that photonic QT achieves an accuracy of $95.50\% \pm 0.84\%$ using 3,292 parameters ($χ= 10$), compared to $96.89\% \pm 0.31\%$ for classical baselines with 6,690 parameters. Moreover, a ten-fold compression ratio is achieved at $χ= 4$, with a relative accuracy loss of less than $3\%$. The framework outperforms classical compression techniques (weight sharing/pruning) by 6--12\% absolute accuracy while eliminating quantum hardware requirements during inference through classical deployment of compressed parameters. Simulations incorporating realistic photonic noise demonstrate the framework's robustness to near-term hardware imperfections. Ablation studies confirm quantum necessity: replacing photonic QNNs with random inputs collapses accuracy to chance level ($10.0\% \pm 0.5\%$). Photonic quantum computing's room-temperature operation, inherent scalability through spatial-mode multiplexing, and HPC-integrated architecture establish a practical pathway for distributed quantum machine learning, combining the expressivity of photonic Hilbert spaces with the deployability of classical neural networks.

量子机器学习光量子计算模型压缩混合架构

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。