Clifford Code Constructions of Operator Quantum Error-Correcting Codes Academic Article uri icon

abstract

  • Recently, operator quantum error-correcting codes have been proposed to unify and generalize decoherence free subspaces, noiseless subsystems, and quantum error-correcting codes. This correspondence introduces a natural construction of such codes in terms of Clifford codes, an elegant generalization of stabilizer codes due to Knill. Character-theoretic methods are used to derive a simple method to construct operator quantum error-correcting codes from any classical additive code over a finite field, which obviates the need for self-orthogonal codes. © 2008 IEEE.

author list (cited authors)

  • Klappenecker, A., & Sarvepalli, P. K.

citation count

  • 14

publication date

  • December 2008