Title :
A class of quantum LDPC codes: construction and performances under iterative decoding
Author :
Camara, T. ; Ollivier, H. ; Tillich, J.-P.
Author_Institution :
INRIA, Le Chesnay
Abstract :
A generic method for constructing quantum LDPC codes is presented. We first explain how to overcome the difficulty of finding a set of low weight generators for the stabilizer group of the code. Our approach is based on a graph representation of the generators of the stabilizer group and on a simple local rule to ensure commutativity. We provide several specific examples of quantum LDPC codes obtained by our method, together with numerical simulations over the depolarizing channel and the erasure channel.
Keywords :
channel coding; decoding; graph theory; iterative methods; parity check codes; erasure channel; graph representation; iterative decoding; quantum LDPC codes; stabilizer group generators; Binary codes; Cascading style sheets; Equations; Error correction codes; Iterative algorithms; Iterative decoding; Parity check codes; Protection; Quantum computing; Quantum mechanics;
Conference_Titel :
Information Theory, 2007. ISIT 2007. IEEE International Symposium on
Conference_Location :
Nice
Print_ISBN :
978-1-4244-1397-3
DOI :
10.1109/ISIT.2007.4557324
