arXiv:2409.10803cs.LGcs.ET2024-09被引 13

用量子核方法在小数据下预测半导体接触电阻,效果优于传统模型。

Quantum Kernel Learning for Small Dataset Modeling in Semiconductor Fabrication: Application to Ohmic Contact

  • 设计量子核对齐回归器,结合量子特征映射与可训练核层。
  • 仅用159组数据即实现0.338 Ω·mm的均方误差,优于多个经典模型。
  • 适合数据稀疏的半导体工艺建模,为量子计算落地提供新思路。

由于参数空间高维且实验数据有限,复杂半导体制造过程(如欧姆接触形成)的建模仍具挑战。尽管经典机器学习在多数领域表现良好,但在小样本非线性场景中性能下降。本文探索量子机器学习(QML)作为替代方案,利用量子核捕捉紧凑数据中的复杂关联。基于仅159个实验的GaN HEMT样本,我们构建了量子核对齐回归器(QKAR),结合浅层Pauli-Z特征映射与可训练量子核对齐(QKA)层。所有模型(含7个经典基线回归器)均在统一的PCA预处理流程下评估,确保公平比较。QKAR在多项指标(MAE、MSE、RMSE)上持续优于经典基线,在实验数据验证中达到0.338 Ω·mm的平均绝对误差。通过交叉验证和新器件制备测试了噪声鲁棒性与泛化能力。结果表明,精心设计的QML模型可在数据受限的半导体建模中提供预测优势,为近中期量子硬件的实际应用奠定基础。尽管QML与经典方法仍面临挑战,本研究展示了其在复杂工艺建模任务中的互补潜力。

原文摘要 · Abstract (English)

Modeling complex semiconductor fabrication processes such as Ohmic contact formation remains challenging due to high-dimensional parameter spaces and limited experimental data. While classical machine learning (CML) approaches have been successful in many domains, their performance degrades in small-sample, nonlinear scenarios. In this work, we investigate quantum machine learning (QML) as an alternative, exploiting quantum kernels to capture intricate correlations from compact datasets. Using only 159 experimental GaN HEMT samples, we develop a quantum kernel-aligned regressor (QKAR) combining a shallow Pauli-Z feature map with a trainable quantum kernel alignment (QKA) layer. All models, including seven baseline CML regressors, are evaluated under a unified PCA-based preprocessing pipeline to ensure a fair comparison. QKAR consistently outperforms classical baselines across multiple metrics (MAE, MSE, RMSE), achieving a mean absolute error of 0.338 Omega mm when validated on experimental data. We further assess noise robustness and generalization through cross-validation and new device fabrication. These findings suggest that carefully constructed QML models could provide predictive advantages in data-constrained semiconductor modeling, offering a foundation for practical deployment on near-term quantum hardware. While challenges remain for both QML and CML, this study demonstrates QML's potential as a complementary approach in complex process modeling tasks.

量子机器学习半导体建模小样本学习

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