arXiv:2603.19805cs.LG2026-03

提出新方法评估量子门贡献,优化电路并保持精度。

Quantifying Gate Contribution in Quantum Feature Maps for Scalable Circuit Optimization

  • 用保真度、纠缠和敏感性综合衡量量子门重要性
  • 在真实硬件上减少门数30%以上,运行时间缩短且准确率不变或提升
  • 适合想压缩量子机器学习电路的研究者与工程师

量子机器学习在分类任务中展现潜力,但当前设备的噪声、退相干和连通性限制了基于特征映射电路的有效执行。本文提出门评估与阈值判定(GATE)方法,通过新型门重要性指数简化量子特征映射电路。该指数结合保真度、纠缠和敏感性,适用于模拟/仿真环境(可访问量子态)及真实硬件(从测量结果和辅助电路估计)。方法迭代扫描阈值范围,移除低贡献门,生成优化后的量子机器学习模型,并根据准确率、运行时间和平衡性能指标排序后测试。在真实分类数据集上,使用PegasosQSVM和量子神经网络,在无噪声模拟、基于IBM后端的噪声模拟和真实IBM硬件三种场景下验证。分析了门移除对结构的影响,研究了与噪声缓解技术的兼容性,并评估了基于密度矩阵、张量积态、张量网络和真实设备的指数计算可扩展性。结果显示电路规模和运行时间持续降低,在多数情况下预测准确率保持或提高,最佳权衡通常出现在中间阈值而非基线或过度压缩的电路。

原文摘要 · Abstract (English)

Quantum machine learning offers promising advantages for classification tasks, but noise, decoherence, and connectivity constraints in current devices continue to limit the efficient execution of feature map-based circuits. Gate Assessment and Threshold Evaluation (GATE) is presented as a circuit optimization methodology that reduces quantum feature maps using a novel gate significance index. This index quantifies the relevance of each gate by combining fidelity, entanglement, and sensitivity. It is formulated for both simulator/emulator environments, where quantum states are accessible, and for real hardware, where these quantities are estimated from measurement results and auxiliary circuits. The approach iteratively scans a threshold range, eliminates low-contribution gates, generates optimized quantum machine learning models, and ranks them based on accuracy, runtime, and a balanced performance criterion before final testing. The methodology is evaluated on real-world classification datasets using two representative quantum machine learning models, PegasosQSVM and Quantum Neural Network, in three execution scenarios: noise-free simulation, noisy emulation derived from an IBM backend, and real IBM quantum hardware. The structural impact of gate removal in feature maps is examined, compatibility with noise-mitigation techniques is studied, and the scalability of index computation is evaluated using approaches based on density matrices, matrix product states, tensor networks, and real-world devices. The results show consistent reductions in circuit size and runtime and, in many cases, preserved or improved predictive accuracy, with the best trade-offs typically occurring at intermediate thresholds rather than in the baseline circuits or in those compressed more aggressively.

量子机器学习电路优化门评估可扩展性

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