Beyond Stabilizer Codes I: Nice Error Bases Academic Article uri icon

abstract

  • Nice error bases have been introduced by Knill as a generalization of the Pauli basis. These bases are shown to be projective representations of finite groups. We classify all nice error bases of small degree, and all nice error bases with Abelian index groups. We show that, in general, an index group of a nice error basis is necessarily solvable.

author list (cited authors)

  • Klappenecker, A., & Rötteler, M.

citation count

  • 42

publication date

  • August 2002