Codeword Stabilized Quantum Codes

Andrew Cross, Graeme Smith, John A. Smolin, Bei Zeng · 2009 · IEEE Trans. Inf. Theory 55, 433

| 编号 QE068 | 主题 小码与早期码 | 链接 arXiv:0708.1021 |

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 a framework for code design that includes as special cases stabilizer codes as well as all known nonadditive codes with good parameters. Our codes are fully described by two objects: a single stabilizer state and a classical code that generates the basis vectors of our code from the stabilizer state. In this framework we find the original nonadditive ((5,6,2)) code and the family it generates, the simple family of distance 2 codes, the (9,12,3) code, as well as new ((10,18,3)) and ((10,20,3)) codes.

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