Algebraic formulation of quantum error correction

被引：3

作者：

Beny, Cedric ^{[1
]}

Kribs, David W. ^{[2
,3
]}

Pasieka, Aron ^{[4
]}

机构：

[1] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

[2] Univ Guelph, Dept Math & Stat, Guelph, ON N1G 2W1, Canada

[3] Univ Waterloo, Inst Quantum Comp, Waterloo, ON N2L 3G1, Canada

[4] Univ Guelph, Dept Phys, Guelph, ON N1G 2W1, Canada

来源：

INTERNATIONAL JOURNAL OF QUANTUM INFORMATION | 2008年 / 6卷

关键词：

quantum computing; quantum error correction; operator algebra;

D O I：

10.1142/S0219749908003839

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We give a brief introduction to the algebraic formulation of error correction in quantum computing called operator algebra quantum error correction (OAQEC). Then we extend one of the basic results for subsystem codes in operator quantum error correction (OQEC) to the OAQEC setting: Every hybrid classical-quantum code is shown to be unitarily recoverable in an appropriate sense. The algebraic approach of the proof yields a new, less technical proof for the OQEC case.

引用

页码：597 / 603

页数：7

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