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
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;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2009.2023715
