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arxiv: 0704.2122 · v1 · submitted 2007-04-17 · 🪐 quant-ph

Nonadditive quantum error-correcting code

classification 🪐 quant-ph
keywords codeerror-correctingnonadditivequantumarbitrarycorrectingdimensionalencoding
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We report the first nonadditive quantum error-correcting code, namely, a $((9,12,3))$ code which is a 12-dimensional subspace within a 9-qubit Hilbert space, that outperforms the optimal stabilizer code of the same length by encoding more levels while correcting arbitrary single-qubit errors.

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