arXiv:2603.06755cs.LGquant-ph2026-03

用量子神经表示提升图像生成质量,小数据下表现更优。

Implementation of Quantum Implicit Neural Representation in Deterministic and Probabilistic Autoencoders for Image Reconstruction/Generation Tasks

  • 将量子隐式神经表示嵌入经典编码器-解码器框架,实现高效特征表达。
  • 在少量数据下生成图像多样性更高,重建图像清晰且细节丰富。
  • 适合对生成质量要求高、数据有限的量子机器学习研究者。

我们提出基于量子隐式神经表示(QINR)的自编码器(AE)与变分自编码器(VAE),用于图像重建与生成任务。目标是验证QINR能在潜在空间中转化为丰富、周期性强且高频的特征。同时表明,相比多种量子生成对抗网络(QGAN),QINR-VAE更具稳定性,可缓解生成多样性不足问题。模型采用经典卷积神经网络(CNN)作为编码器,量子层实现QINR解码器。使用带对数函数的二值交叉熵(BCEWithLogits)作为重构损失;QINR-VAE额外引入Kullback-Leibler散度进行潜在空间正则化,并采用beta/容量调度防止后验崩溃。通过可学习的角度缩放机制优化数据重上传过程。在MNIST、E-MNIST和Fashion-MNIST数据集上测试,结果表明:在小样本条件下,QINR-VAE能生成更多样化的图像,且重建与生成图像清晰、边界锐利、细节分明。整体上,加入基于QINR的量子层显著提升了在参数受限条件下的重建与生成性能。

原文摘要 · Abstract (English)

We propose a quantum implicit neural representation (QINR)-based autoencoder (AE) and variational autoencoder (VAE) for image reconstruction and generation tasks. Our purpose is to demonstrate that the QINR in VAEs and AEs can transform information from the latent space into highly rich, periodic, and high-frequency features. Additionally, we aim to show that the QINR-VAE can be more stable than various quantum generative adversarial network (QGAN) models in image generation because it can address the low diversity problem. Our quantum-classical hybrid models consist of a classical convolutional neural network (CNN) encoder and a quantum-based QINR decoder. We train the QINR-AE/VAE with binary cross-entropy with logits (BCEWithLogits) as the reconstruction loss. For the QINR-VAE, we additionally employ Kullback-Leibler divergence for latent regularization with beta/capacity scheduling to prevent posterior collapse. We introduce learnable angle-scaling in data reuploading to address optimization challenges. We test our models on the MNIST, E-MNIST, and Fashion-MNIST datasets to reconstruct and generate images. Our results demonstrate that the QINR structure in VAE can produce a wider variety of images with a small amount of data than various generative models that have been studied. We observe that the generated and reconstructed images from the QINR-VAE/AE are clear with sharp boundaries and details. Overall, we find that the addition of QINR-based quantum layers into the AE/VAE frameworks enhances the performance of reconstruction and generation with a constrained set of parameters.

量子机器学习图像生成隐式表示

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