Quantum-error correction and orthogonal geometry

被引：558

作者：

Calderbank, AR ^{[1
]}

Rains, EM ^{[1
]}

Shor, PW ^{[1
]}

Sloane, NJA ^{[1
]}

机构：

[1] INST DEF ANAL, PRINCETON, NJ 08540 USA

来源：

PHYSICAL REVIEW LETTERS | 1997年 / 78卷 / 03期

关键词：

D O I：

10.1103/PhysRevLett.78.405

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：405 / 408

页数：4

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