用扩散模型同时生成量子电路结构和参数,提升编译效率与精度。
Synthesis of discrete-continuous quantum circuits with multimodal diffusion models
- 采用双扩散过程分别生成门序列和连续参数
- 在不同量子比特数和深度下均优于现有方法,噪声环境下表现更佳
- 快速生成大量电路数据,可挖掘新合成规律
高效编译量子操作仍是扩展量子计算的主要瓶颈。当前最先进方法通过结合搜索算法与基于梯度的参数优化实现低编译误差,但运行时间长,需多次调用量子硬件或昂贵的经典模拟,难以扩展。近期机器学习模型成为替代方案,但目前仅限于离散门集。本文提出一种多模态去噪扩散模型,可同时生成目标酉算子的电路结构与连续参数。该模型采用两个独立扩散过程:一个用于离散门选择,一个用于参数预测。我们在不同实验中进行基准测试,分析了方法在不同量子比特数和电路深度下的准确性,展示了其在门数减少和噪声条件下的优越性能。此外,我们发现简单的后优化方案能显著提升生成的变分电路质量。最后,利用其快速生成能力,构建了特定操作的大规模电路数据集,并从中提取有价值的经验规则,有助于揭示量子电路合成的新规律。
原文摘要 · Abstract (English)
Efficiently compiling quantum operations remains a major bottleneck in scaling quantum computing. Today's state-of-the-art methods achieve low compilation error by combining search algorithms with gradient-based parameter optimization, but they incur long runtimes and require multiple calls to quantum hardware or expensive classical simulations, making their scaling prohibitive. Recently, machine-learning models have emerged as an alternative, though they are currently restricted to discrete gate sets. Here, we introduce a multimodal denoising diffusion model that simultaneously generates a circuit's structure and its continuous parameters for compiling a target unitary. It leverages two independent diffusion processes, one for discrete gate selection and one for parameter prediction. We benchmark the model over different experiments, analyzing the method's accuracy across varying qubit counts and circuit depths, showcasing the ability of the method to outperform existing approaches in gate counts and under noisy conditions. Additionally, we show that a simple post-optimization scheme allows us to significantly improve the generated ansätze. Finally, by exploiting its rapid circuit generation, we create large datasets of circuits for particular operations and use these to extract valuable heuristics that can help us discover new insights into quantum circuit synthesis.
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