On the structure of nonstabilizer clifford codes

  • Authors:

  • Andreas Klappenecker;Martin Rötteler

  • Affiliations:

  • Department of Computer Science, Texas A&M University, College Station, TX;Institute for Quantum Computation, University of Waterloo, Waterloo, Ontario, Canada

  • Venue:
  • Quantum Information & Computation
  • Year:
  • 2004

Quantified Score

Hi-index 0.00

Visualization

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.