Stabilizer Codes over Frobenius Rings Conference Paper uri icon

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.

author list (cited authors)

  • Nadella, S., & Klappenecker, A.

citation count

  • 7

publication date

  • July 2012

publisher