Title :
On Construction of Two Classes of Efficient Quantum Error-Correction Codes
Author :
Peiyu Tan ; Jing Li
Author_Institution :
Electr. & Comput. Eng. Dept., Lehigh Univ., Bethlehem, PA
Abstract :
Stabilizer codes are an important branch of quantum codes, but the existing stabilizer codes constructed from the classical binary codes almost exclusively belong to the special subclass of CSS codes. This paper develops simple and systematic constructions for two rich classes of non-CSS quantum stabilizer codes: quantum low density parity check (LDPC) codes based on classical quasi-cyclic LDPC codes and quantum convolutional codes based on classical LDPC-convolutional codes. Both classes enjoy a wide range of lengths and rates, and offer stronger error correction capability than the existing codes.
Keywords :
convolutional codes; cyclic codes; error correction codes; parity check codes; quantum communication; quantum convolutional code; quantum error-correction code; quantum low density parity check code; quantum stabilizer code; quasicyclic LDPC code; Binary codes; Cascading style sheets; Convolutional codes; Error correction; Error correction codes; Parity check codes; Protection; Quantum computing; Quantum mechanics; Tensile stress;
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.2007.4557531
