发表机构
RENCI, University of North Carolina at Chapel Hill（北卡罗来纳大学教堂山分校 RENCI）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究通过简单统一框架对领先硬件平台和分布式量子计算系统中先进量子纠错码逻辑错误率进行分析估计，考虑代码结构和双比特门开销等因素，可快速估计错误率并找出分布式量子纠错设计的最佳区域。
AI 中文摘要
量子纠错理论已建立数十年，但量子计算平台在噪声水平和可用物理量子比特数量方面的限制仍然存在，这极大地阻碍了可扩展量子计算系统的发展。在本文中，我们使用一个简单但统一的框架，对领先硬件平台和分布式量子计算系统中先进量子纠错码的逻辑错误率进行了分析估计。该分析捕获了逻辑错误的两个主要因素：代码结构和双比特门开销。该框架提供了逻辑错误率的快速估计，并识别了不同硬件平台中的主导因素，如电路体积、路由开销、量子处理器间操作或非对称噪声保护。我们表明，在这个框架内，可以通过分析再现和解释在大规模模拟中观察到的几个定性趋势。我们进一步证明，该框架可用于找到分布式量子纠错的最佳设计区域，这对分布式量子计算系统的设计至关重要。
英文摘要
The theory of quantum error correction was established decades ago. Yet limitations in physical noise levels and available physical-qubit counts continue to hinder the development of scalable quantum computing systems. In this paper, we present analytical estimates of logical error rates for advanced QEC codes across leading hardware platforms and distributed quantum computing systems using a simple but unified framework. The analysis captures dominant contributors to logical error, including effective circuit volume and two-qubit gate overhead. The framework provides a fast and conservative estimate of logical error rates and identification of dominating factors in different hardware platforms, such as circuit volume, routing overhead, inter-QPU operations, or asymmetric noise protection. We show that several qualitative trends observed in larger-scale simulations can be reproduced and interpreted analytically within this framework. We further demonstrate that the framework can be used to find the sweet spot design region of distributed QEC, which is critical for the design of distributed quantum computing systems.
