发表机构
University of Colorado, Boulder; JILA, NIST, and University of Colorado, Boulder; Harvard University（科罗拉多大学博尔德分校; JILA、美国国家标准与技术研究院和科罗拉多大学博尔德分校; 哈佛大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究利用matchgate与非高斯资源门集，通过Uhlmann-Wootters并发度方法，确定了费米子量子计算在局域退极化噪声下的容错极限约为62%，且与电路深度无关。
AI 中文摘要
确定量子电路能够处理的最高噪声量是容错量子计算发展中的一个有趣且关键的任务。先前的工作通过寻找门集失去普适性的噪声阈值，将使用通用Clifford与T门集构建的电路在局域退极化噪声下的上限约束为约45%。在本工作中，我们采用类似的方法，使用matchgate与非高斯资源通用门集，找到了费米子量子计算的一个与电路深度无关的极限$p=(8 - 2 \sqrt{6})/5$或约62%。为此，我们使用4模费米子Choi态的Uhlmann-Wootters并发度来表示一个带有局域退极化噪声的资源门，以确定组合信道何时为凸高斯信道。由于噪声模型的差异，这些界限不能直接比较，使得约62%的界限成为费米子已知的最佳界限。
英文摘要
Determining the highest amount of noise that quantum circuits can handle is an interesting and crucial task in the development of fault-tolerant quantum computation. Previous work has constrained this upper limit for local depolarizing noise to $\approx 45~\%$ for circuits constructed using the universal Clifford with T gate set by finding the noise threshold where the gate set loses universality. In this work, we use a similar method with the matchgate with non-Gaussian resource universal gate set to find a limit of $p=(8 - 2 \sqrt{6})/5$ or $\approx 62~\%$ for fermionic quantum computing that is independent of circuit depth. To do this, we use Uhlmann-Wootters concurrences for a 4-mode fermionic Choi state representing a resourceful gate combined with local depolarizing noise to determine when the combined channel is convex Gaussian. These bounds are not directly comparable due to differences in noise model making the bound of $\approx 62~\%$ the best known for fermions.
Comments12 pages, 2 figures
