| 黄山.一类纠缠辅助量子纠错码的构造[J].井冈山大学自然版,2022,43(5):8-13 |
| 一类纠缠辅助量子纠错码的构造 |
| CONSTRUCTION OF A CLASS OF ENTANGLEMENT-ASSISTED QUANTUM ERROR-CORRECTING CODES |
| 投稿时间：2022-03-15 修订日期：2022-04-21 |
| DOI：10.3969/j.issn.1674-8085.2022.05.002 |
| 中文关键词: 纠缠辅助量子纠错码 循环码 重根循环码 |
| 英文关键词: entanglement-assisted quantum error-correcting codes cyclic codes repeated-root cyclic codes |
| 基金项目:国家自然科学基金项目(62002093);安徽省高校自然科学重点项目(KJ2021A1469,KJ2020A1059,KJ2020A1058) |
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| 中文摘要: |
| 利用重根循环码构造了纠缠辅助量子纠错码。首先确定了有限域GF(p)上长度为2ps的循环码与其对偶码交的维数，然后确定了GF(p)上长度为2ps的循环码的最小距离，最后利用CSS构造方法，由这类重根循环码构造了几类纠缠辅助量子纠错码。 |
| 英文摘要: |
| Entanglement-assisted quantum error-correcting codes are constructed by repeated-root cyclic codes. First, the dimension of intersection of cyclic codes with length 2ps and their dual code over GF(p) is determined. Then, the minimum distance of cyclic codes with length 2ps over GF(p) is determined. Finally, several classes of entanglement-assisted quantum error-correcting codes are constructed from this class of repeated-root cyclic codes by CSS construction. |
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