Title :
Optimization of LDGM-based quantum codes using Density Evolution
Author :
Liu, Kejing ; Garcia-Frias, Javier
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Delaware, Newark, DE, USA
fDate :
Sept. 29 2010-Oct. 1 2010
Abstract :
We introduce the use of Discrete Density Evolution (DDE) to optimize LDGM-based quantum codes. These are Calderbank-Shor-Steane (CSS) codes based on the generator and parity-check matrices of an LDGM code, which is designed with a specific structure inspired in the parallel concatenation of LDGM codes. The proposed codes allow greater flexibility and are easier to design than existing sparse-graph CSS quantum codes, while leading to better performance.
Keywords :
concatenated codes; error correction codes; optimisation; parity check codes; Calderbank-Shor-Steane codes; LDGM based quantum codes; discrete density evolution; low density generator matrix; optimization; parallel concatenation; parity check matrix; Decoding; Generators; Optimization; Parity check codes; Simulation; Sparse matrices; Symmetric matrices;
Conference_Titel :
Communication, Control, and Computing (Allerton), 2010 48th Annual Allerton Conference on
Conference_Location :
Allerton, IL
Print_ISBN :
978-1-4244-8215-3
DOI :
10.1109/ALLERTON.2010.5707001
