量子隐变量分布可提升生成模型性能,且优势源于量子干涉。
Quantum latent distributions in deep generative models
- 用量子处理器生成的隐变量分布,比经典分布更高效建模数据。
- 在合成数据和QM9分子数据集上,量子隐变量生成效果优于经典基线。
- 适合关注量子机器学习与生成模型交叉应用的研究者。
许多成功的生成模型依赖低维隐变量分布映射到数据分布。尽管常采用简单隐变量分布,其选择对模型性能影响显著。近期实验表明,量子处理器生成的概率分布(通常高度相关且经典难处理)可在某些数据集上提升性能。但何时、为何量子隐变量分布能带来改进,以及这种改进是否与分布的量子特性相关,仍是未解问题。本文从理论上证明,在特定条件下,'量子隐变量分布'能使生成模型产生经典隐变量无法高效生成的数据分布。我们给出了真实数据集上性能优势的潜在机制解释,并在合成量子数据集和QM9分子数据集上,基于模拟与真实光子量子处理器进行了广泛基准测试。结果表明,量子干涉产生的统计特性可提升生成性能,暗示量子处理器有望拓展深度生成模型的能力边界。
原文摘要 · Abstract (English)
Many successful families of generative models leverage a low-dimensional latent distribution that is mapped to a data distribution. Though simple latent distributions are often used, the choice of distribution has a strong impact on model performance. Recent experiments have suggested that the probability distributions produced by quantum processors, which are typically highly correlated and classically intractable, can lead to improved performance on some datasets. However, when and why latent distributions produced by quantum processors can improve performance, and whether these improvements are connected to quantum properties of these distributions, are open questions that we investigate in this work. We show in theory that, under certain conditions, these "quantum latent distributions" enable generative models to produce data distributions that classical latent distributions cannot efficiently produce. We provide intuition as to the underlying mechanisms that could explain a performance advantage on real datasets. Based on this, we perform extensive benchmarking on a synthetic quantum dataset and the QM9 molecular dataset, using both simulated and real photonic quantum processors. We find that the statistics arising from quantum interference lead to improved generative performance compared to classical baselines, suggesting that quantum processors can play a role in expanding the capabilities of deep generative models.
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