Stabilizer Codes over Frobenius Rings Conference Paper

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. 2012 IEEE.

name of conference

• 2012 IEEE International Symposium on Information Theory Proceedings

authors

• Klappenecker, Andreas

published proceedings

• 2012 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT)

author list (cited authors)

• Nadella, S., & Klappenecker, A.

citation count

• 10

complete list of authors

• Nadella, Sushma||Klappenecker, Andreas

publication date

• July 2012

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

keywords

• Frobenius Rings
• Stabilizer Codes

Digital Object Identifier (DOI)

• 10.1109/isit.2012.6283558

International Standard Book Number (ISBN) 13

• 9781467325790

URI

• https://hdl.handle.net/1969.1/ETD-TAMU-2012-05-10753

start page

• 165

end page

• 169

volume

• 1

URL

• http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=6268627