Subsystem Codes over Nice Nearrings Conference Paper uri icon

abstract

  • Subsystem codes are quantum error correcting schemes unifying stabilizer codes, decoherence free subspaces and noiseless subsystems. Subsystem codes were most commonly based on the generalized Pauli basis with dimensions of a power of prime. Recently, a class of nice error bases indexed by a nearring were introduced by the second author. We give a construction of subsystem codes over nice nearrings. Furthermore, we show that free subsystem codes over a finite chain ring cannot perform better than those over a finite field. 2013 IEEE.

name of conference

  • 2013 IEEE International Symposium on Information Theory

published proceedings

  • 2013 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT)

author list (cited authors)

  • Lee, S., & Klappenecker, A.

citation count

  • 2

complete list of authors

  • Lee, Sangjun||Klappenecker, Andreas

publication date

  • July 2013