Quantum Error Correction with Girth-16 Non-Binary LDPC Codes via Affine Permutation Construction

Kenta Kasai · 2025 · arXiv

| 编号 QE030 | 主题 基础理论 | 链接 arXiv:2504.17790 |

摘要

摘要保留原文（英文）

摘要取自 arXiv / 出版方元数据，未作翻译，以保证与原文一致。

We propose a method for constructing quantum error-correcting codes based on non-binary low-density parity-check codes with Tanner graph girth 16. While conventional constructions using circulant permutation matrices are limited to girth 12, our method employs afine permutation matrices and a randomized sequential selection procedure to eliminate short cycles and achieve girth 16.

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