A Family of Asymptotically Good Quantum Codes Based on Code Concatenation
Zhuo Li, Lijuan Xing, Xinmei Wang · IEEE Transactions on Information Theory · 2009
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.