Title :
Non-binary quasi-cyclic quantum LDPC codes
Author :
Kasai, Kenta ; Hagiwara, Manabu ; Imai, Hideki ; Sakaniwa, Kohichi
Author_Institution :
Dept. of Commun. & Integrated Syst., Tokyo Inst. of Technol., Tokyo, Japan
fDate :
July 31 2011-Aug. 5 2011
Abstract :
In this paper, we propose a construction method for two-level quantum error-correcting codes via non-binary LDPC codes over an extended field of order 2p, p an integer p >; 1. The proposed quantum error-correcting codes are based on binary quasi-cyclic LDPC codes which have almost achieved a “Bounded Distance Decoding (BDD)” limit but have not surpassed the limit yet. Quantum codes constructed from the proposed method surpass the BDD limit. Furthermore the codes outperform the efficiently-decodable state-of-the-art quantum codes.
Keywords :
cyclic codes; decoding; error correction codes; parity check codes; quantum communication; binary quasicyclic LDPC codes; bounded distance decoding; nonbinary quasi-cyclic quantum LDPC codes; two-level quantum error-correcting codes; Cascading style sheets; Equations; Error correction codes; Indexes; Mathematical model; Parity check codes; Sparse matrices; CSS codes; Galois field; LDPC code; belief propagation; iterative decoding; non-binary LDPC codes; quantum error-correcting codes;
Conference_Titel :
Information Theory Proceedings (ISIT), 2011 IEEE International Symposium on
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4577-0596-0
Electronic_ISBN :
2157-8095
DOI :
10.1109/ISIT.2011.6034212
