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arXiv 2601.05036quant-phcs.AIcs.LG

经典GAN的指数容量扩展与混合潜在风格量子GAN的比较

Exponential capacity scaling of classical GANs compared to hybrid latent style-based quantum GANs

Center for Quantum Computing(量子计算中心);Quantum Coherence (QC2), University of Basel(量子相干性(QC2),巴塞尔大学)

Milan Liepelt, Julien Baglio

AI总结:

本文研究了混合潜在风格量子GAN在图像生成中的指数容量优势,发现经典GAN与量子GAN在参数规模上呈指数级增长关系。

摘要:

量子生成建模是寻找数据处理实际优势的非常活跃的研究领域。量子生成对抗网络(QGANs)是量子生成建模的领先候选者,并已应用于从高能物理到图像生成的广泛领域。基于潜在风格的QGAN依赖于经典变分自编码器将输入数据编码到潜在空间,然后使用基于风格的QGAN进行数据生成,已被证明在图像生成或药物设计中是高效的,暗示使用比其经典对应物更少的可训练参数即可实现可比性能,然而这种优势从未被系统研究。本文首次对这种优势进行了全面的实验分析,应用于SAT4图像生成,获得了混合潜在风格QGAN架构中量子生成器容量扩展的指数优势。仔细调整自编码器是获得稳定可靠结果的关键。一旦完成这种调整,并将训练最优性定义为训练稳定且FID分数低且稳定时,经典判别器的最优容量(或可训练参数数量)相对于量子生成器的容量呈指数增长,同样适用于经典生成器的容量。这暗示了一种量子优势的可能性。

英文摘要:

Quantum generative modeling is a very active area of research in looking for practical advantage in data analysis. Quantum generative adversarial networks (QGANs) are leading candidates for quantum generative modeling and have been applied to diverse areas, from high-energy physics to image generation. The latent style-based QGAN, relying on a classical variational autoencoder to encode the input data into a latent space and then using a style-based QGAN for data generation has been proven to be efficient for image generation or drug design, hinting at the use of far less trainable parameters than their classical counterpart to achieve comparable performance, however this advantage has never been systematically studied. We present in this work the first comprehensive experimental analysis of this advantage of QGANS applied to SAT4 image generation, obtaining an exponential advantage in capacity scaling for a quantum generator in the hybrid latent style-based QGAN architecture. Careful tuning of the autoencoder is crucial to obtain stable, reliable results. Once this tuning is performed and defining training optimality as when the training is stable and the FID score is low and stable as well, the optimal capacity (or number of trainable parameters) of the classical discriminator scales exponentially with respect to the capacity of the quantum generator, and the same is true for the capacity of the classical generator. This hints toward a type of quantum advantage for quantum generative modeling.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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