Remarks on Clifford codes

Andreas Klappenecker; Martin Roetteler

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Remarks on Clifford codes

Andreas Klappenecker·Martin Roetteler

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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 is not already a stabilizer code. We derive a necessary and sufficient condition that allows 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.

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Andreas Klappenecker, Martin Roetteler. 2003-12-31. Remarks on Clifford codes. https://arxiv.org/abs/quant-ph/0312228

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