Quantum Error Correction and Orthogonal Geometry

A. R. Calderbank, E. M. Rains, P. W. Shor, N. J. A. Sloane · 1997 · Phys. Rev. Lett. 78, 405

| 编号 QE063 | 主题 小码与早期码 | 链接 arXiv:quant-ph/9605005 |

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。

A group theoretic framework is introduced that simplifies the description of known quantum error-correcting codes and greatly facilitates the construction of new examples. Codes are given which map 3 qubits to 8 qubits correcting 1 error, 4 to 10 qubits correcting 1 error, 1 to 13 qubits correcting 2 errors, and 1 to 29 qubits correcting 5 errors.

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