On the structure of nonstabilizer Cliford codes Academic Article uri icon

abstract

  • Clifford codes are a class of quantum error control codes that form a natural generalization of stabilizer codes. These codes were introduced in 1996 by Knill, but only a single Clifford code was known, which was not already a stabilizer code. We derive a necessary and sufficient condition that allows one to decide when a Clifford code is a stabilizer code, and compile a table of all true Clifford codes for error groups of small order.

author list (cited authors)

  • Klappenecker, A. A., & Rotteler, M.

citation count

  • 0

publication date

  • March 2004