对比量子编码方法对机器学习性能的影响,发现高维数据下效果显著提升。
Continuous-Variable Quantum Encoding Techniques: A Comparative Study of Embedding Techniques and Their Impact on Machine Learning Performance
- 比较位移、挤压和IQP编码在量子-经典混合学习中的表现
- 量子编码使分类准确率和F1分数明显提高,尤其在高维数据上
- 适合关注量子机器学习融合的科研人员与工程师
本研究探讨连续变量量子计算(CVQC)与经典机器学习的交叉应用,重点分析位移编码、挤压编码及离散量子计算中的瞬时量子多项式(IQP)编码。通过广泛实验评估这些编码方式对逻辑回归、支持向量机、K近邻以及随机森林和LightGBM等集成模型的影响。结果表明,基于CVQC的编码显著提升特征表达能力,在高维复杂数据集上带来分类准确率和F1分数的明显改善。但其性能提升伴随不同的计算开销,取决于编码复杂度与模型架构。同时,研究揭示了量子表达能力与经典可学习性之间的权衡,为量子编码在实际应用中的可行性提供关键洞察。该工作推动了量子-经典混合学习的发展,强调了CVQC在量子数据表征与经典学习流程融合中的作用。
原文摘要 · Abstract (English)
This study explores the intersection of continuous-variable quantum computing (CVQC) and classical machine learning, focusing on CVQC data encoding techniques, including Displacement encoding and squeezing encoding, alongside Instantaneous Quantum Polynomial (IQP) encoding from discrete quantum computing. We perform an extensive empirical analysis to assess the impact of these encoding methods on classical machine learning models, such as Logistic Regression, Support Vector Machines, K-Nearest Neighbors, and ensemble methods like Random Forest and LightGBM. Our findings indicate that CVQC-based encoding methods significantly enhance feature expressivity, resulting in improved classification accuracy and F1 scores, especially in high-dimensional and complex datasets. However, these improvements come with varying computational costs, which depend on the complexity of the encoding and the architecture of the machine learning models. Additionally, we examine the trade-off between quantum expressibility and classical learnability, offering valuable insights into the practical feasibility of incorporating these quantum encodings into real-world applications. This study contributes to the growing body of research on quantum-classical hybrid learning, emphasizing the role of CVQC in advancing quantum data representation and its integration into classical machine learning workflows.
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