Quantum error correction against correlated noise

被引：50

作者：

Clemens, James P. ^{[1
]}

Siddiqui, Shabnam ^{[1
]}

Gea-Banacloche, Julio ^{[1
]}

机构：

[1] Department of Physics, University of Arkansas, Fayetteville

来源：

Physical Review A - Atomic, Molecular, and Optical Physics | 2004年 / 69卷 / 06期

关键词：

Correlation methods - Electromagnetic fields - Error analysis - Error correction - Failure analysis - Fault tolerant computer systems - Gaussian noise (electronic) - Mathematical models - Mathematical operators - Probability - Signal encoding - Thermodynamic stability;

D O I：

10.1103/PhysRevA.69.062313

中图分类号：

学科分类号：

摘要：

The performance of quantum error correction in the presence of correlated noise, using simple and concatenated Calderbank Shor-Steane (CSS) codes as well as n-qubit repetition codes was evaluated. It is observed that for concatenated codes we find a threshold in the single qubit error rate below which the encoded qubit was perfectly protected. The results shows that the presence of correlations could enhance the failure probability of traditional error correcting codes by several orders of magnitude for large codes and perfect correlations. This leads to a correlation-dependent threshold in the single qubit error probability for concatenated codes, with the threshold going to zero for perfectly correlated noise.

引用

页码：062313 / 1

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