用经典计算优化量子特征映射,降低硬件需求。
Quantum feature-map learning with reduced resource overhead
- 将量子电路构建中的部分工作转为经典计算,仅需少量评估
- 在真实IBM设备上4小时完成784维MNIST分类,准确率超90%
- 适合资源受限的近中期量子计算机,推动实用化落地
当前量子计算机需高效利用有限资源。在量子机器学习中,性能依赖于将经典数据嵌入量子态空间的特征映射。本文提出量子特征映射学习算法Q-FLAIR,通过部分解析重构将计算负载转移至经典计算机,仅需少量评估即可完成门添加的探测。每次添加门时,数据特征与权重参数的联合选择与优化完全由经典计算完成。集成至量子神经网络和量子核支持向量机后,该方法在基准测试中表现领先。由于资源开销与特征维度解耦,我们在真实IBM设备上仅用4小时即训练出模型,在全分辨率MNIST数据集(784特征,数字3对5)上达到超过90%准确率。此前此类成果因特征维度导致硬件需求过高或自适应搜索成本过大而难以实现。此外,Q-FLAIR展现出对直接经典建模的去量化鲁棒性,满足文献中罕见的基准要求,是潜在量子优势的必要条件。通过重新思考特征映射学习,本工作为近中期量子计算机实现真实世界应用迈出关键一步。
原文摘要 · Abstract (English)
Current quantum computers require algorithms that use limited resources economically. In quantum machine learning, success hinges on quantum feature-maps, which embed classical data into the state space of qubits. We introduce Quantum Feature-Map Learning via Analytic Iterative Reconstructions (Q-FLAIR), an algorithm that reduces quantum resource overhead in iterative feature-map circuit construction. It shifts workloads to a classical computer via partial analytic reconstructions of the quantum model, using only a few evaluations. For each probed gate addition to the ansatz, the simultaneous selection and optimization of the data feature and weight parameter is then entirely classical. Integrated into quantum neural network and quantum kernel support vector classifiers, Q-FLAIR shows state-of-the-art benchmark performance. Since resource overhead decouples from feature dimension, we train a quantum model on a real IBM device in only four hours, surpassing 90% accuracy on the full-resolution MNIST dataset (784 features, digits 3 vs 5). Such results were previously unattainable, as the feature dimension prohibitively drives hardware demands for fixed and search costs for adaptive ansätze. Furthermore, Q-FLAIR demonstrates de-quantization robustness against direct classical modeling, satisfying a benchmark rare in the literature and a necessary condition for potential quantum advantage. By rethinking feature-map learning beyond black-box optimization, this work takes a concrete step toward enabling quantum machine learning for real-world problems and near-term quantum computers.
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