对比量子与经典模型在手写数字识别中的表现,发现高维数据下量子模型更优。
Do We Really Need Quantum Machine Learning?: A Multidimensional Empirical Study

- 对比经典与量子支持向量机及卷积网络,多维度评估性能差异。
- 在1000样本下,量子SVM准确率达0.90,优于经典SVM的0.85;高维时量子模型优势扩大。
- 适合关注量子计算潜力、尤其是高维图像任务的研究者参考。
计算机视觉任务日益复杂,暴露了经典机器学习的计算瓶颈,推动了量子计算作为新范式的探索。本文对MNIST手写数字数据集上的经典与量子机器学习模型进行综合性基准测试,涵盖传统模型(经典支持向量机CSVM、量子支持向量机QSVM)和深度神经网络模型(经典卷积神经网络CCNN、量子卷积神经网络QCNN),从分类准确率、计算时间、参数量和内存需求四个维度进行评估。实验在不同特征维度与样本量下,分别于CPU与GPU环境执行,实现受控的多维比较。对于SVM模型,QSVM在准确率上持续优于CSVM(1000样本时达~0.90 vs ~0.85),但计算成本更高;10量子比特与200–500样本为实用操作点。对于神经网络模型,CCNN与QCNN在64特征、6万样本下准确率均超0.96,但QCNN在高维下参数与内存效率更优,运行时间更长。总体而言,随着特征维度或样本量增加,量子模型在准确率上相较经典模型提升更显著。
原文摘要 · Abstract (English)
The rapid growth of computer vision and increasingly complex image recognition tasks has exposed fundamental computational limitations of classical machine learning models, motivating the exploration of quantum computing as an emerging new paradigm. This paper presents a comprehensive benchmarking study of classical and quantum machine learning models for image recognition on the MNIST handwritten digit dataset, evaluating both traditional models, a Classical Support Vector Machine (CSVM) and a Quantum Support Vector Machine (QSVM), and deep neural network models, a Classical Convolutional Neural Network (CCNN) and a Quantum Convolutional Neural Network (QCNN), across four performance dimensions: classification accuracy, computational runtime, parameter count, and memory requirements. Experiments are conducted as functions of both feature dimensionality and sample size, and across CPU and GPU execution environments, providing a controlled, multidimensional comparison to address gaps in prior work. For the SVM-based models, QSVM consistently outperforms CSVM in accuracy, reaching $\sim$ 0.90 versus $\sim$ 0.85 at 1,000 samples, with a higher computational cost. A feature count of 10 qubits and a sample size in the range of 200 -- 500 emerge as practical operating points that balance accuracy and runtime. For the neural network models, CCNN and QCNN achieve comparable classification accuracy, both exceeding 0.96 at 64 features and 60,000 samples, yet QCNN offers superior parameter and memory efficiency at higher feature counts, while incurring higher runtime. Across both model families, quantum models consistently outperform classical models by greater margins in accuracy as feature dimensionality or sample size increases.
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。