DocumentCode
1136510
Title
A Family of Asymptotically Good Quantum Codes Based on Code Concatenation
Author
Li, Zhuo ; Xing, Lijuan ; Wang, Xinmei
Author_Institution
State Key Lab. of Integrated Services Networks, Xidian Univ., Xi´´an, China
Volume
55
Issue
8
fYear
2009
Firstpage
3821
Lastpage
3824
Abstract
We explicitly construct an infinite family of asymptotically good concatenated quantum stabilizer codes where the outer codes use quantum Reed-Solomon codes and the inner codes use a set of special quantum codes. In the field of quantum error-correcting codes, this is the first time that a family of asymptotically good quantum codes is derived from bad codes. Its occurrence supplies a gap in quantum coding theory.
Keywords
Reed-Solomon codes; concatenated codes; error correction codes; Reed-Solomon codes; concatenated codes; error-correcting codes; quantum codes; stabilizer codes; Binary codes; Cascading style sheets; Concatenated codes; Error correction; Error correction codes; Fault tolerance; Geometry; Quantum computing; Quantum mechanics; Rain; Concatenated quantum codes; good quantum codes; quantum Reed–Solomon codes; quantum stabilizer codes;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2009.2023715
Filename
5165198
Link To Document