Open AccessA family of asymptotically good quantum codes based on code concatenation
Author(s) -
Zhuo Li,
Lijuan Xing
Publication year - 2007
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
ISSN - 1000-3290
DOI - 10.7498/aps.56.5602
Subject(s) - concatenated error correction code , quantum convolutional code , linear code , block code , concatenation (mathematics) , computer science , discrete mathematics , physics , mathematics , algorithm , arithmetic , decoding methods
Using the idea of code concatenation in classical coding theory, we make the suggestion of constructing general concatenated quantum codes by choosing certain quantum codes as outer code and inner code. Then by concatenating quantum RS outer codes with a set of special quantum inner codes, one can construct a family of concatenated quantum codes, which is asymptotically good. In the field of quantum error-correcting codes, this is the first time that a family of asymptotically good quantum code is constructed using bad classical codes.