Title :
Non-additive quantum codes from Goethals and Preparata codes
Author :
Grassl, Markus ; Rötteler, Martin
Author_Institution :
Inst. for Quantum Opt. & Quantum Inf., Austrian Acad. of Sci., Innsbruck
Abstract :
We extend the stabilizer formalism to a class of nonadditive quantum codes which are constructed from non-linear classical codes. As an example, we present infinite families of nonadditive codes which are derived from Goethals and Preparata codes.
Keywords :
codes; quantum communication; Goethals and Preparata codes; nonadditive quantum codes; nonlinear classical codes; stabilizer formalism; Binary codes; Boolean functions; Cascading style sheets; Circuits; Encoding; Error correction codes; Laboratories; National electric code; Nonlinear optics; Tensile stress;
Conference_Titel :
Information Theory Workshop, 2008. ITW '08. IEEE
Conference_Location :
Porto
Print_ISBN :
978-1-4244-2269-2
Electronic_ISBN :
978-1-4244-2271-5
DOI :
10.1109/ITW.2008.4578694
