DocumentCode
3118548
Title
Stabilizer codes over Frobenius rings
Author
Nadella, Sushma ; Klappenecker, Andreas
Author_Institution
Dept. of Comput. Sci. & Eng., Texas A&M Univ., College Station, TX, USA
fYear
2012
fDate
1-6 July 2012
Firstpage
165
Lastpage
169
Abstract
Quantum error-correcting codes over finite fields have been widely studied, but quantum codes over rings have been left largely unexplored. This paper introduces stabilizer codes over finite Frobenius rings and establishes their connection to classical code. Structural properties of stabilizer codes over finite Frobenius rings are established. It is proved that free stabilizer codes over finite commutative chain rings cannot outperform stabilizer codes over finite fields.
Keywords
error correction codes; classical code; finite Frobenius rings; finite commutative chain rings; finite fields; free stabilizer codes; quantum error-correcting codes; stabilizer codes; Additives; Indexes; Jacobian matrices; Kernel; Linear code; Shape; Structural rings;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory Proceedings (ISIT), 2012 IEEE International Symposium on
Conference_Location
Cambridge, MA
ISSN
2157-8095
Print_ISBN
978-1-4673-2580-6
Electronic_ISBN
2157-8095
Type
conf
DOI
10.1109/ISIT.2012.6283558
Filename
6283558
Link To Document