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Abstract: We present a unifying approach to quantum error correcting code design thatencompasses additive stabilizer codes, as well as all known examples ofnonadditive codes with good parameters. We use this framework to generate newcodes with superior parameters to any previously known. In particular, we find10,18,3 and 10,20,3 codes. We also show how to construct encodingcircuits for all codes within our framework.

Autor: Andrew Cross, Graeme Smith, John A. Smolin, Bei Zeng


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