Entanglement-enhanced quantum error-correcting codes

被引:9
|
作者
Dong, Ying [1 ,2 ]
Deng, Xiuhao [1 ,2 ]
Jiang, Mingming [1 ,2 ]
Chen, Qing [1 ,2 ,3 ]
Yu, Sixia [1 ,2 ,3 ]
机构
[1] Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Peoples R China
[2] Univ Sci & Technol China, Hefei Natl Lab Phys Sci Microscale, Hefei 230026, Peoples R China
[3] Natl Univ Singapore, Dept Phys, Singapore 117542, Singapore
来源
PHYSICAL REVIEW A | 2009年 / 79卷 / 04期
关键词
decoding; encoding; error correction codes; quantum computing; quantum entanglement;
D O I
10.1103/PhysRevA.79.042342
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Via explicit examples we show that the pre-existing entanglement can really enhance (not only behave as an assistance for) the efficiency of the quantum error-correcting codes (QECCs) in a single block of encoding or decoding as well as help in beating the quantum Hamming bound. A systematic approach to constructing entanglement-assisted (or enhanced) quantum error-correcting codes (EAQECCs) via graph states is also presented, and an infinite family of entanglement-enhanced codes has been constructed. Furthermore we generalize the EAQECCs to the case of not-so-perfectly protected qubit and introduce the quantity infidelity as a figure of merit and show that the EAQECCs also outperform the ordinary QECCs.
引用
收藏
页数:5
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