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.

author list (cited authors)

  • Lee, S., & Klappenecker, A.

citation count

  • 2

publication date

  • July 2013

publisher