arXiv:2607.09108cs.LG2026-07被引 1

对比量子与经典生成模型,发现量子电路参数少但效果不优,揭示角度编码失效机制。

Quantum Circuits in Diffusion Models: A Fair-Comparison Study and a Mechanistic Analysis of Angle-Embedding Failures

论文配图:Quantum Circuits in Diffusion Models: A Fair-Comparison Study and a Mechanistic Analysis of Angle-Embedding Failures
图 1 · 摘自论文原文
  • 用通道调制架构隔离量子部分,公平比较量子与经典模型性能
  • 量子核心参数少4.5–9倍,但生成质量未显著优于经典对照组
  • 发现角度编码因相位混叠导致失效,提出tanh变换可有效修复

我们通过挤压-激励通道调制框架,将变分量子电路(VQCs)集成到扩散模型中,以隔离量子贡献。在DDPM和潜在扩散模型上对MNIST和CIFAR-10进行角色匹配的古典控制与多种子显著性检验,并在MNIST上开展基于分数的NCSN研究。结果表明,量子核心在均值FID上与古典控制相当,而针对EfficientSU2的采样种子测试未发现统计显著差异。尽管量子核心核心参数量仅为对照组的4.5–9倍,但参数匹配的古典控制也能达到相近的均值FID,因此未证明量子参数效率优势。进一步发现,分数基NCSN存在结构性缺陷:无界得分目标与1/σ成正比,使角度编码输入超出旋转门的2π周期,引发相位混叠并导致量子调制器崩溃。引入θ←πtanh(·)的边界变换后,输入被映射至非混叠域,显著提升量子核心表现。所有电路均为小规模量子比特的经典模拟,故不宣称量子优势。本研究提供公平对比协议,并揭示角度编码失败的机制。

原文摘要 · Abstract (English)

We study the integration of variational quantum circuits (VQCs) into diffusion models through a squeeze-and-excitation (SE) channel-modulation scaffold that isolates the quantum contribution. Using a role-matched classical control and multi-seed significance testing across DDPM and latent diffusion on MNIST and CIFAR-10, with a score-based NCSN study on MNIST, we find that quantum cores achieve comparable mean FID to the classical control across DDPM and latent diffusion, while paired sampling-seed tests for EfficientSU2 detect no statistically significant difference. Although the quantum cores use $4.5$--$9\times$ fewer core parameters than the role-matched control, parameter-matched classical controls attain comparable mean FID, so the experiments do not establish a quantum parameter-efficiency advantage. We further identify a structural failure in score-based NCSN: the unbounded score target, proportional to $1/σ$, drives angle-embedding inputs far beyond the $2π$ period of rotation gates, causing phase aliasing and collapse of the quantum modulator. A bounding transformation, $θ\leftarrow π\tanh(\cdot)$, maps inputs to the non-aliasing domain and substantially improves both quantum cores. Since all circuits are classically simulated at a few-qubit scale, we do not claim quantum advantage. Instead, the study provides a fair-comparison protocol for quantum-enhanced generative models and a mechanistic account of when and why angle embeddings fail.

量子生成模型扩散模型角度编码

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