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

fYear

2007

fDate

24-29 June 2007

Firstpage

2106

Lastpage

2110

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Theory, 2007. ISIT 2007. IEEE International Symposium on

Conference_Location

Nice

Print_ISBN

978-1-4244-1397-3

Type

conf

DOI

10.1109/ISIT.2007.4557531

Filename

4557531