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Quantum Information and Computation

On the structure of nonstabilizer Cliford codes

Andreas Klappenecker, Martin Rötteler

Published Mar 1, 2004• 2 citations
Publisher

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.

DOI
10.26421/4.2-7

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