AI 中文总结
研究早期容错量子算法中模拟逻辑旋转门的误差问题，提出‘平衡融合’技术，通过改进对相干误差项积累的分析，将误差缩放提升至$O(p \phi^{1.5})$，提高小角度模拟逻辑旋转的可行性。
AI 中文摘要
近期有诸多在早期容错量子算法中使用模拟逻辑旋转的提议。现有方案通过角度$\phi$实现逻辑旋转，误差为$O(p\phi)$，其中$p$是物理错误率，虽非容错，但$\phi$足够小时逻辑错误率可被抑制。本文引入并分析‘平衡融合’技术，将模拟逻辑旋转的误差缩放提升至$O(p \phi^{1.5})$，无需借助回退合成。通过对模拟逻辑旋转中相干误差项积累的改进分析实现平衡融合，提高了小旋转角度模拟逻辑旋转作为培育动力旋转合成替代方案的可行性。
英文摘要
There have been a number of recent proposals to use analog logical rotations in early fault-tolerant quantum algorithms. Existing proposals implement a logical rotation by angle $ϕ$, with error $O(pϕ)$, where $p$ is the physical error rate. While this is not fault-tolerant, if $ϕ$ is sufficiently small the logical error rate can be suppressed. In this work, we introduce and analyze the `balanced fusion' technique for improving the error scaling of analog logical rotations to $O(p ϕ^{1.5})$, without having to resort to fallback synthesis. Balanced fusion is enabled by an improved analysis of the accumulation of coherent error terms in analog logical rotations. Our techniques improve the viability of analog logical rotations for small rotation angles as an alternative to cultivation-powered rotation synthesis.
