Two Infinite Families of Nonadditive Quantum Error-Correcting Codes

被引：2
作者：
Yu, Sixia [1 ,2 ]
Chen, Qing [1 ,2 ]
Oh, C. H. [2 ]
机构：
[1] Univ Sci & Technol China, Dept Modern Phys, Hefei Natl Lab Phys Sci Microscale, Hefei 230026, Peoples R China
[2] Natl Univ Singapore, Dept Phys, Ctr Quantum Technol, Singapore 117542, Singapore
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2015年 / 61卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Quantum error-correcting codes; nonadditive codes; linear programming bound; stabilizer-like structure;
D O I：
10.1109/TIT.2015.2489645
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We construct explicitly two infinite families of genuine nonadditive 1-error correcting quantum codes and prove that their coding subspaces are 50% larger than those of the optimal stabilizer codes of the same parameters via the linear programming bound. All these nonadditive codes can be characterized by a stabilizer-like structure, and thus, their encoding circuits can be designed in a straightforward manner.
引用
收藏
页码：7012 / 7016
页数：5
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