arXiv:2507.03689quant-phcs.LG2025-07被引 3

新量子核方法大幅降低资源消耗,提升高维数据处理效率。

A Resource Efficient Quantum Kernel

  • 设计新型量子特征映射,减少纠缠门和量子比特用量
  • 在基准数据集上实现更高准确率与更优资源利用率
  • 适合在现有噪声量子设备上运行,逼近经典算法性能

量子处理器可通过将高维数据映射到量子系统来增强机器学习。传统特征映射因纠缠门数量随数据维度和量子比特数呈二次增长而难以实用。本文提出一种新型量子特征映射,能高效处理高维数据,显著降低量子比特和纠缠操作需求。实验表明,在基准数据集上使用该映射作为核函数时,准确率与资源利用均优于现有先进量子特征映射。噪声模拟结果结合低资源需求,证明该方法可在噪声中等规模量子设备上有效运行。数值模拟及超导量子线路平台的小规模实现显示,其分类性能与一组经典算法相当或更优。尽管量子核通常受指数集中效应制约,本方法的集中速率随量子比特数和特征数增长更缓慢,使实际应用保持可行。研究为未来量子计算平台上的量子机器学习落地提供可行路径。

原文摘要 · Abstract (English)

Quantum processors may enhance machine learning by mapping high-dimensional data onto quantum systems for processing. Conventional feature maps, for encoding data onto a quantum circuit are currently impractical, as the number of entangling gates scales quadratically with the dimension of the dataset and the number of qubits. In this work, we introduce a quantum feature map designed to handle high-dimensional data with a significantly reduced number of qubits and entangling operations. Our approach preserves essential data characteristics while promoting computational efficiency, as evidenced by extensive experiments on benchmark datasets that demonstrate a marked improvement in both accuracy and resource utilization when using our feature map as a kernel for characterization, as compared to state-of-the-art quantum feature maps. Our noisy simulation results, combined with lower resource requirements, highlight our map's ability to function within the constraints of noisy intermediate-scale quantum devices. Through numerical simulations and small-scale implementation on a superconducting circuit quantum computing platform, we demonstrate that our scheme performs on par or better than a set of classical algorithms for classification. While quantum kernels are typically stymied by exponential concentration, our approach is affected with a slower rate with respect to both the number of qubits and features, which allows practical applications to remain within reach. Our findings herald a promising avenue for the practical implementation of quantum machine learning algorithms on near future quantum computing platforms.

量子机器学习量子核方法资源效率

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