提出量子-经典混合学习框架,实现高效数据编码与抗噪训练。
Quantum Data Encoding and Variational Algorithms: A Framework for Hybrid Quantum Classical Machine Learning
- 用幅值和旋转角编码高维数据,实现指数级信息压缩。
- 小规模量子电路在噪声数据上仍保持竞争力,准确率优于经典基准。
- 适合想落地量子机器学习的算法工程师与科研人员。
量子计算机的发展推动了量子机器学习(QML)的实现,该领域将量子力学计算框架与经典机器学习的自适应特性相结合。本文提出一种通用架构,连接经典数据管道与量子算法,使量子-经典混合模型成为近中期实现可扩展量子优势的可行路径。核心是经典-量子(CQ)范式,通过复杂编码策略将高维经典数据映射为量子比特态,利用幅度、旋转角及叠加态表示,实现信息在希尔伯特空间中的指数级压缩,并降低样本复杂度,提升特征表达能力。同时研究变分量子电路,即量子门作为可训练变量,结合经典优化器以应对现有噪声中等规模量子(NISQ)设备的退相干、噪声和门深度限制。实验对比量子朴素贝叶斯分类器表明,即使小型量子电路也能在噪声数据分布下实现与经典基准相当的推断精度,且具有更强鲁棒性。该模型不仅阐明了QML的算法与架构设计,还为量子核函数、变分算法及混合反馈回路在优化、计算机视觉和医学诊断中的实际应用提供了路线图。结果支持:强数据编码与自适应纠错的混合架构是推动QML从理论走向实践的关键。
原文摘要 · Abstract (English)
The development of quantum computers has been the stimulus that enables the realization of Quantum Machine Learning (QML), an area that integrates the calculational framework of quantum mechanics with the adaptive properties of classical machine learning. This article suggests a broad architecture that allows the connection between classical data pipelines and quantum algorithms, hybrid quantum-classical models emerge as a promising route to scalable and near-term quantum benefit. At the core of this paradigm lies the Classical-Quantum (CQ) paradigm, in which the qubit states of high-dimensional classical data are encoded using sophisticated classical encoding strategies which encode the data in terms of amplitude and angle of rotation, along with superposition mapping. These techniques allow compression of information exponentially into Hilbert space representations, which, together with reduced sample complexity, allows greater feature expressivity. We also examine variational quantum circuits, quantum gates expressed as trainable variables that run with classical optimizers to overcome decoherence, noise, and gate-depth constraints of the existing Noisy Intermediate-Scale Quantum (NISQ) devices. Experimental comparisons with a Quantum Naive Bayes classifier prove that even small quantum circuits can approximate probabilistic inference with competitive accuracy compared to classical benchmarks, and have much better robustness to noisy data distributionsThis model does not only explain the algorithmic and architectural design of QML, it also offers a roadmap to the implementation of quantum kernels, variational algorithms, and hybrid feedback loops into practice, including optimization, computer vision, and medical diagnostics. The results support the idea that hybrid architectures with strong data encoding and adaptive error protection are key to moving QML out of theory to practice.
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