arXiv:2604.26675quant-phcs.LG2026-04

量子电路作特征映射,结合经典分类器提升遥感土地覆盖分类效果

Parameterized Quantum Circuits as Feature Maps: Representation Quality and Readout Effects in Multispectral Land-Cover Classification

论文配图:Parameterized Quantum Circuits as Feature Maps: Representation Quality and Readout Effects in Multispectral Land-Cover Classification
图 1 · 摘自论文原文
  • 用量子电路做非线性数据嵌入,再配经典分类器决策
  • 同个量子特征映射在核方法中性能远超线性读出,提升约15%准确率
  • 适合对量子-经典混合模型感兴趣的遥感或机器学习研究者

我们研究变分量子分类器(VQCs)在多光谱卫星图像土地覆盖分类中的应用,从特征映射视角出发:量子电路定义非线性数据嵌入,读出机制决定如何利用该表示。基于EuroSAT-MS数据集,在受控实验协议下对所有类别对进行一对一分类评估,对比经典基线(逻辑回归、SVM、神经网络)与采用线性读出和量子核SVM策略的VQCs。结果表明,尽管使用线性读出的VQCs无法超越如RBF-SVM等强基线,但同一训练好的量子特征映射在核框架中复用时性能显著提升。通过调整量子比特数发现饱和现象,与指数级希尔伯特空间维数和线性参数量增长之间的不匹配一致。总体而言,量子模型有效性高度依赖表示与读出的协同作用,有意义的增益可能来自将学习到的量子特征映射与经典决策机制结合,而非直接替代经典模型。

原文摘要 · Abstract (English)

We investigate variational quantum classifiers (VQCs) for land-cover classification from multispectral satellite imagery, adopting a feature-map perspective in which the quantum circuit defines a nonlinear data embedding while the readout determines how this representation is exploited. Using the EuroSAT-MS dataset, we perform a systematic one-vs-one evaluation across all class pairs under a controlled experimental protocol, comparing classical baselines (logistic regression, SVMs, neural networks) with VQCs employing both linear readout and quantum-kernel SVM strategies. Our results show that, while VQCs with linear readout do not outperform strong classical baselines such as RBF-SVM, the same trained quantum feature map can significantly improve performance when reused within a kernel-based decision framework. A qubit-count sweep further reveals saturation effects consistent with the mismatch between exponential Hilbert space dimension and linear parameter scaling. Overall, our findings highlight that the effectiveness of quantum models depends critically on the interplay between representation and readout, and that meaningful gains may arise from combining learned quantum feature maps with classical decision mechanisms rather than seeking direct replacement of classical models.

量子机器学习遥感分类特征映射核方法

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