Non-Additive Quantum Codes from Goethals and Preparata Codes

Physics – Quantum Physics

Scientific paper

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submitted to the 2008 IEEE Information Theory Workshop (ITW 2008)

Scientific paper

10.1109/ITW.2008.4578694

We extend the stabilizer formalism to a class of non-additive quantum codes
which are constructed from non-linear classical codes. As an example, we
present infinite families of non-additive codes which are derived from Goethals
and Preparata codes.

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