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arXiv · 2610.01277

Linear-Time Encodable Quantum Codes near the CSS GV Bound

Rachel Yun Zhang
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Abstract

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.

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Rachel Yun Zhang. 2026-10-01. Linear-Time Encodable Quantum Codes near the CSS GV Bound. https://arxiv.org/abs/2610.01277

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