DocumentCode
169295
Title
Quantum synchronizable codes from quadratic residue codes and their supercodes
Author
Yixuan Xie ; Jinhong Yuan ; Fujiwara, Yuichiro
Author_Institution
Sch. of Electr. Eng. & Telecommun., Univ. of New South Wales, Sydney, NSW, Australia
fYear
2014
fDate
2-5 Nov. 2014
Firstpage
172
Lastpage
176
Abstract
Quantum synchronizable codes are quantum error-correcting codes designed to correct the effects of both quantum noise and block synchronization errors. While it is known that quantum synchronizable codes can be constructed from cyclic codes that satisfy special properties, only a few classes of cyclic codes have been proved to give promising quantum synchronizable codes. In this paper, using quadratic residue codes and their supercodes, we give a simple construction for quantum synchronizable codes whose synchronization capabilities attain the upper bound. The method is applicable to cyclic codes of prime length.
Keywords
cyclic codes; error correction codes; quantum communication; quantum noise; residue codes; block synchronization errors; cyclic codes; quadratic residue codes; quantum error-correcting codes; quantum noise; quantum synchronizable codes; supercodes; Encoding; Error correction codes; Generators; Polynomials; Quantum mechanics; Synchronization;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory Workshop (ITW), 2014 IEEE
Conference_Location
Hobart, TAS
ISSN
1662-9019
Type
conf
DOI
10.1109/ITW.2014.6970815
Filename
6970815
Link To Document