Quantum error correction via codes over GF (4)

被引：1214

作者：

Calderbank, AR ^{[1
]}

Rains, EM ^{[1
]}

Shor, PW ^{[1
]}

Sloane, NJA ^{[1
]}

机构：

[1] AT&T Bell Labs, Res, Florham Pk, NJ 07932 USA

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 1998年 / 44卷 / 04期

关键词：

codes; additive; quantum; quaternary; self-orthogonal; geometry; orthogonal; symplectic; group; Clifford;

D O I：

10.1109/18.681315

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem of finding quantum-error-correcting codes is transformed into the problem of finding additive codes over the field GF(4) which are self-orthogonal with respect to a certain trace inner product. Many new codes and new bounds are presented, as well as a table of upper and lower bounds on such codes of length up to 30 qubits.

引用

页码：1369 / 1387

页数：19

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