arXiv:2604.00919quant-phcond-mat.stat-mech2026-04被引 1

用量子退火实现复杂生成模型,提升训练效率与生成质量。

Multi-Mode Quantum Annealing for Generative Representation Learning with Boltzmann Priors

论文配图:Multi-Mode Quantum Annealing for Generative Representation Learning with Boltzmann Priors
图 1 · 摘自论文原文
  • 设计三种退火模式,分别用于高效训练、无条件生成和条件编辑。
  • 在MNIST等数据集上收敛更快,重建误差更低,最高用2000个量子比特。
  • 适合对生成模型性能和可控性有高要求的研究者与工程师。

基于能量的模型通过结构化的能量景观连接统计物理与机器学习。玻尔兹曼机是一类能捕捉潜在变量间复杂相互作用的模型,但其在现代生成学习中的应用受限于经典采样困难。本文提出一种基于量子退火的框架,支持带有通用玻尔兹曼先验的变分自编码器。该框架包含三种互补的退火模式:绝热量子退火提供无偏玻尔兹曼采样以实现高效训练;慢速退火使样本集中于低能区域,用于无条件生成;含外场的条件退火可引导能量景观至特定语义区域,实现条件生成与语义编辑。在D-Wave Advantage2处理器上使用最多2000个量子比特,成功在MNIST、Fashion-MNIST和CelebA数据集上实现稳定训练与高质量生成,相比同架构的高斯先验VAE收敛更快、重建损失更低。此外,学习到的能量函数还能提供分布外检测信号,在单类MNIST实验中区分不同类别样本,并提升金融数据中市场状态突变的检测能力。这些结果表明,量子退火是超越经典可计算方法的能量基表示学习与生成建模的实用且可控机制。

原文摘要 · Abstract (English)

Energy-based models provide a natural bridge between statistical physics and machine learning by representing data through structured energy landscapes. Boltzmann machines are a particularly compelling class of such models for capturing complex interactions among latent variables, but their use in modern generative learning has been limited by the classical intractability of sampling from general (non-restricted) Boltzmann distributions. Here we develop a quantum-annealing-based framework that enables variational autoencoders with general Boltzmann priors. The framework employs three complementary annealing modes tailored to different stages of learning and deployment: diabatic quantum annealing provides unbiased Boltzmann samples for efficient training, slower annealing concentrates samples near low-energy configurations of the learned prior for unconditional generation, and conditional annealing with external fields steers the learned energy landscape toward attribute-specific regions for conditional generation and semantic editing. Using up to 2000 qubits on a D-Wave Advantage2 processor, we demonstrate stable training and high-quality generation on MNIST, Fashion-MNIST, and CelebA, achieving faster convergence and lower reconstruction loss than a Gaussian-prior VAE with the same encoder-decoder architecture. Beyond generation, the learned energy function provides out-of-distribution detection signals that add discriminative power beyond reconstruction loss. We demonstrate that these scores separate in-distribution samples from held-out digit classes in one-class MNIST experiments and improve the detection of market regime shifts in financial data. These results establish quantum annealing as a practical and controllable physical mechanism for energy-based representation learning and generative modeling beyond the reach of tractable classical approaches.

量子计算生成模型能量模型退火

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