用邻居电路学习提升量子纠错精度,更高效可靠。
Scalable Quantum Error Mitigation with Neighbor-Informed Learning
- 通过学习相关电路的噪声输出来预测理想结果。
- 训练集规模仅随邻居电路数对数增长,可扩展性强。
- 适合在噪声硬件上追求量子优势的研究者使用。
量子硬件中的噪声是实现量子计算变革潜力的主要障碍。量子误差缓解(QEM)为近中期设备提供了提升计算精度的可行路径,但现有方法在性能、资源开销和理论保障之间存在难以调和的权衡。本文提出邻域感知学习(NIL),一种通用且可扩展的QEM框架,统一并强化了零噪声外推(ZNE)和概率误差抵消(PEC)等方法,同时具备更高的灵活性、准确度、效率和鲁棒性。NIL通过学习目标电路的结构相关‘邻居’电路的噪声输出,来预测其理想输出。关键创新在于2-设计训练方法,生成机器学习模型的训练数据。与传统基于随机替换非克莱夫门的方法相比,该方法在理论分析和数值模拟中均表现出更高精度与效率。此外,我们证明所需训练集大小仅随邻居电路总数呈对数增长,使NIL可应用于大规模量子电路。本工作建立了一个理论坚实且实用高效的QEM框架,为在噪声硬件上实现量子优势铺平道路。
原文摘要 · Abstract (English)
Noise in quantum hardware is the primary obstacle to realizing the transformative potential of quantum computing. Quantum error mitigation (QEM) offers a promising pathway to enhance computational accuracy on near-term devices, yet existing methods face a difficult trade-off between performance, resource overhead, and theoretical guarantees. In this work, we introduce neighbor-informed learning (NIL), a versatile and scalable QEM framework that unifies and strengthens existing methods such as zero-noise extrapolation (ZNE) and probabilistic error cancellation (PEC), while offering improved flexibility, accuracy, efficiency, and robustness. NIL learns to predict the ideal output of a target quantum circuit from the noisy outputs of its structurally related ``neighbor'' circuits. A key innovation is our 2-design training method, which generates training data for our machine learning model. In contrast to conventional learning-based QEM protocols that create training circuits by replacing non-Clifford gates with uniformly random Clifford gates, our approach achieves higher accuracy and efficiency, as demonstrated by both theoretical analysis and numerical simulation. Furthermore, we prove that the required size of the training set scales only \emph{logarithmically} with the total number of neighbor circuits, enabling NIL to be applied to problems involving large-scale quantum circuits. Our work establishes a theoretically grounded and practically efficient framework for QEM, paving a viable path toward achieving quantum advantage on noisy hardware.
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。