On the Application of Error-Correcting Codes with Low-Density Generator Matrix over Different Quantum Channels

Conference: TURBO - CODING - 2006 - 4th International Symposium on Turbo Codes & Related Topics; 6th International ITG-Conference on Source and Channel Coding
04/03/2006 - 04/07/2006 at Munich, Germany

Proceedings: TURBO - CODING - 2006

Pages: 6Language: englishTyp: PDF

Personal VDE Members are entitled to a 10% discount on this title

Lou, Hanqing; Garcia-Frias, Javier (Department of Electrical and Computer Engineering, University of Delaware)

We propose the use of linear codes with low-density generator matrix in the context of error correction over different quantum channels. The basic idea is to construct a Calderbank-Shor-Steane (CSS) code based on the generator matrix and the parity-check matrix of an LDGM code, applying row operations in both matrices to achieve the desired quantum rate. Decoding is performed in an iterative manner, using message passing over the corresponding graphs. The proposed codes allow greater flexibility and are easier to design than existing sparse-graph quantum codes, while leading to better performance.