NOTES ON THE FIDELITY OF SYMPLECTIC QUANTUM ERROR-CORRECTING CODES

被引：12

作者：

Hamada, Mitsuru ^{[1
]}

机构：

[1] Japan Sci & Technol Agcy, Quantum Computat & Informat Project, ERATO Program, Bunkyo Ku, Tokyo 1130033, Japan

来源：

INTERNATIONAL JOURNAL OF QUANTUM INFORMATION | 2003年 / 1卷 / 04期

关键词：

Symplectic codes; fidelity; entanglement;

D O I：

10.1142/S0219749903000358

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Two observations are given on the fidelity of schemes for quantum information processing. In the first one, we show that the fidelity of a symplectic (stabilizer) code, if properly defined, exactly equals the "probability" of the correctable errors for general quantum channels. The second observation states that for any coding rate below the quantum capacity, exponential convergence of the fidelity of some codes to unity is possible.

引用

页码：443 / 463

页数：21

共 36 条

[1]

Artin E., 1957, GEOMETRIC ALGEBRA

[2] On quantum fidelities and channel capacities [J].