Nonbinary quantum codes

Eric M. Rains · 1998 · IEEE Trans. Inf. Theory 44, 1389 / arXiv

| 编号 QE065 | 主题 小码与早期码 | 链接 arXiv:quant-ph/9703048 |

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 present several results on quantum codes over general alphabets (that is, in which the fundamental units may have more than 2 states). In particular, we consider codes derived from finite symplectic geometry assumed to have additional global symmetries. This allows us to construct families of quantum codes from certain codes over number fields; in particular, we get analogues of quadratic residue codes, including a single-error correcting code encoding one letter in five, for any alphabet size.

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