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arXiv 2512.09469quant-phcs.CV
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LiePrune: 基于李群和量子几何双表示的量子神经网络单次结构剪枝框架

LiePrune: Lie Group and Quantum Geometric Dual Representation for One-Shot Structured Pruning of Quantum Neural Networks

School of Computer, Jiangsu University of Science and Technology(江苏科技大学计算机学院);Department of Electrical and Computer Engineering, University of Nevada, Las Vegas(内华达大学拉斯维加斯分校电子与计算机工程系)

Haijian Shao, Bowen Yang, Wei Liu, Xing Deng, Yingtao Jiang

AI总结:

LiePrune 是首个基于李群和量子几何双表示的量子神经网络单次结构剪枝框架,实现超过 10 倍压缩且性能无显著下降。

摘要:

量子神经网络(QNNs)和参数化量子电路(PQCs)是近期量子机器学习的关键构建块。然而,其可扩展性受到过多参数、 barren plateaus 和硬件限制的制约。我们提出了 LiePrune,这是首个数学上奠基的量子神经网络单次结构剪枝框架,利用李群结构和量子几何信息。每个门在李群-李代数双空间和量子几何特征空间中联合表示,使能够原理上检测冗余并进行激进压缩。在量子分类(MNIST,FashionMNIST)、量子生成建模(Bars-and-Stripes)和量子化学(LiH VQE)上的实验表明,LiePrune 实现了超过 10 倍的压缩,同时任务性能几乎不变或甚至提高,同时提供可证明的冗余检测、函数近似和计算复杂度保证。

英文摘要:

Quantum neural networks (QNNs) and parameterized quantum circuits (PQCs) are key building blocks for near-term quantum machine learning. However, their scalability is constrained by excessive parameters, barren plateaus, and hardware limitations. We propose LiePrune, the first mathematically grounded one-shot structured pruning framework for QNNs that leverages Lie group structure and quantum geometric information. Each gate is jointly represented in a Lie group--Lie algebra dual space and a quantum geometric feature space, enabling principled redundancy detection and aggressive compression. Experiments on quantum classification (MNIST, FashionMNIST), quantum generative modeling (Bars-and-Stripes), and quantum chemistry (LiH VQE) show that LiePrune achieves over $10\times$ compression with negligible or even improved task performance, while providing provable guarantees on redundancy detection, functional approximation, and computational complexity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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