Linear-Time Encodable Quantum Codes near the CSS GV Bound

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.

arXiv:2610.01277 [quant-ph]

(or arXiv:2610.01277v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2610.01277 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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