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接近CSS GV界的线性时间可编码量子码

Linear-Time Encodable Quantum Codes near the CSS GV Bound

Rachel Yun Zhang

arXiv 2610.01277首次发表:更新:

发表机构

UC Berkeley(加州大学伯克利分校)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文构造了速率-距离权衡接近CSS GV界的量子CSS码,其编码电路具有对数深度和线性门数,结构为恒定深度外部电路后接经典累加层。

AI 中文摘要

我们构造了速率-距离权衡接近CSS GV界的量子CSS码,这些码可通过对数深度和线性数量门的量子电路进行编码。我们的构造深受Brehm和Resch工作的启发,可视为经典重复多重累加码的量子模拟。该编码器具有特别简单的结构,由一个恒定深度的外部量子电路后接若干经典累加和逆累加层组成。

英文摘要

We construct quantum CSS codes with rate-distance tradeoff approaching the CSS GV bound, which can be encoded by a quantum circuit of logarithmic depth and a linear number of gates. Our construction is heavily inspired by a work of Brehm and Resch and can be viewed as a quantum analogue of classical repeat multiple accumulate codes. The encoder has a particularly simple structure, consisting of a single constant depth outer quantum circuit followed by several classical accumulation and inverse-accumulation layers.

论文原文

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