arXiv:2507.11401quant-phcs.CV2025-07中稿 · publication at IEE…被引 1

随机生成量子纠缠结构,提升心脏病MRI分类性能

Stochastic Entanglement Configuration for Constructive Entanglement Topologies in Quantum Machine Learning with Application to Cardiac MRI

  • 用随机二值矩阵表示纠缠连接,可扩展探索多种纠缠拓扑
  • 400种配置中16%显著超越经典模型,最高准确率达0.92
  • 适合量子机器学习、医学图像分析研究者参考

高效纠缠策略对推进变分量子线路(VQC)在量子机器学习(QML)中的应用至关重要。现有方法多采用固定纠缠拓扑,难以适应任务需求,限制了超越经典模型的潜力。本文提出一种新型随机纠缠配置方法,系统生成多样化纠缠拓扑,以识别能提升混合模型性能(如分类准确率)的构造性纠缠配置子空间。每种配置编码为随机二值矩阵,表示量子比特间的有向纠缠。通过纠缠密度和每量子比特约束作为核心指标,实现对候选纠缠拓扑超空间的可扩展探索。定义了无约束与受限采样模式,控制每量子比特纠缠程度。在心脏MRI疾病分类任务中,生成并评估了400个随机配置,发现64个(16%)新颖构造性纠缠配置,持续优于经典基线。表现最优配置的集成平均达到约0.92分类准确率,较经典模型(约0.87)提升超5%。相较四种传统拓扑(环形、最近邻、无纠缠、全纠缠),其最高准确率仅约0.82,均未超越经典基线,而本方法配置最高实现约20%的性能增益。结果凸显所识别构造性纠缠的鲁棒性与泛化能力。

原文摘要 · Abstract (English)

Efficient entanglement strategies are essential for advancing variational quantum circuits (VQCs) for quantum machine learning (QML). However, most current approaches use fixed entanglement topologies that are not adaptive to task requirements, limiting potential gains over classical models. We introduce a novel stochastic entanglement configuration method that systematically generates diverse entanglement topologies to identify a subspace of constructive entanglement configurations, defined as entanglement topologies that boost hybrid model performance (e.g., classification accuracy) beyond classical baselines. Each configuration is encoded as a stochastic binary matrix, denoting directed entanglement between qubits. This enables scalable exploration of the hyperspace of candidate entanglement topologies using entanglement density and per-qubit constraints as key metrics. We define unconstrained and constrained sampling modes, controlling entanglement per qubit. Using our method, 400 stochastic configurations were generated and evaluated in a hybrid QML for cardiac MRI disease classification. We identified 64 (16%) novel constructive entanglement configurations that consistently outperformed the classical baseline. Ensemble aggregation of top-performing configurations achieved ~0.92 classification accuracy, exceeding the classical model (~0.87) by over 5%. Compared to four conventional topologies (ring, nearest neighbor, no entanglement, fully entangled), none surpassed the classical baseline (maximum accuracy ~0.82), while our configurations delivered up to ~20% higher accuracy. Thus, highlighting the robustness and generalizability of the identified constructive entanglements.

量子机器学习纠缠拓扑医学影像随机优化

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