让量子模型的测量方式可学习,提升分类准确率。
Learning to Measure Quantum Neural Networks
- 将测量用的厄米矩阵设为可训练参数,与电路参数一起优化。
- 数值实验显示分类准确率显著提高。
- 适合想提升量子机器学习性能的研究者。
量子计算与机器学习的快速发展推动了量子机器学习(QML)算法的研究,以解决多样且复杂的问题。设计高性能的QML模型需要专家级技能,主要障碍在于有效数据编码和参数化量子电路的设计。此外,测量阶段常被忽视——现有模型多采用预定义的测量协议,未能针对具体问题优化。本文提出一种新方法,使量子系统的可观测量(即厄米矩阵)可学习。该方法构建端到端可微框架,将参数化可观测量与常规量子电路参数同步训练。通过数值模拟验证,该方法能为变分量子电路识别出更优可观测量,显著提升分类准确率,从而整体增强QML模型性能。
原文摘要 · Abstract (English)
The rapid progress in quantum computing (QC) and machine learning (ML) has attracted growing attention, prompting extensive research into quantum machine learning (QML) algorithms to solve diverse and complex problems. Designing high-performance QML models demands expert-level proficiency, which remains a significant obstacle to the broader adoption of QML. A few major hurdles include crafting effective data encoding techniques and parameterized quantum circuits, both of which are crucial to the performance of QML models. Additionally, the measurement phase is frequently overlooked-most current QML models rely on pre-defined measurement protocols that often fail to account for the specific problem being addressed. We introduce a novel approach that makes the observable of the quantum system-specifically, the Hermitian matrix-learnable. Our method features an end-to-end differentiable learning framework, where the parameterized observable is trained alongside the ordinary quantum circuit parameters simultaneously. Using numerical simulations, we show that the proposed method can identify observables for variational quantum circuits that lead to improved outcomes, such as higher classification accuracy, thereby boosting the overall performance of QML models.
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