arXiv:2607.07072cs.LG2026-07

用量子扩散模型生成图像,降低对量子比特的需求。

An Hybrid Quantum-Classical Diffusion Model for Image Generation

论文配图:An Hybrid Quantum-Classical Diffusion Model for Image Generation
图 1 · 摘自论文原文
  • 先用经典自编码器压缩图像到低维潜空间,再在小规模量子系统中生成。
  • 通过解析反向传播简化计算,避免训练复杂预测器,提升效率。
  • 适合资源有限的量子硬件,为混合量子-经典生成提供实用方案。

量子扩散模型通过直接在量子态上定义加噪与去噪过程,为生成学习提供了物理一致的路径。然而,将此类模型应用于经典高维数据时,受限于状态编码的量子比特成本和大密度算符模拟的计算负担。本文提出一种可扩展的混合生成流程:利用经典自编码器进行降维,将数据压缩为紧凑的潜码,并嵌入小量子比特希尔伯特空间;随后在潜空间中使用混合态量子去噪扩散概率模型(MSQuDDPM)学习潜密度算子的生成分布,并解码回原始域。算法上,通过在时间步t预测干净态ρ₀的估计值,并采用解析反向传播规则实现单步逆向更新,而非学习显式ρ_{t-1}的预测器,从而简化逆向动态。我们在MNIST图像生成任务上验证了该方法,讨论了混合态量子扩散在现实量子比特预算下的实用性,表明其可作为混合量子-经典生成建模的可行核心组件。

原文摘要 · Abstract (English)

Quantum diffusion models provide a physics-consistent route to generative learning by formulating noising and denoising directly on quantum states. However, applying such models to classical high-dimensional data is constrained by the qubit cost of state encoding and the computational burden of simulating large density operators. We propose a scalable hybrid generative pipeline that combines a classical autoencoder for dimensionality reduction with a mixed-state quantum denoising diffusion probabilistic model (MSQuDDPM) operating in the learned latent space. The autoencoder compresses data into compact latent codes that can be embedded into a small-qubit Hilbert space, after which the quantum diffusion model learns a generative distribution over latent density operators and decodes samples back to the original domain. Algorithmically, we simplify the reverse dynamics by predicting an estimate of the clean state $ρ_0$ at timestep $t$ and computing the one-step reverse update via an analytic backward propagation rule, rather than learning an explicit predictor for $ρ_{t-1}$. We demonstrate the proposed approach on MNIST image generation and discuss how mixed-state quantum diffusion can serve as a practical backbone for hybrid quantum--classical generative modeling under realistic qubit budgets.

量子生成扩散模型混合计算

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。