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arxiv: 0901.1353 · v1 · submitted 2009-01-10 · 🪐 quant-ph

Optimal Nonadditive Quantum Error-Detecting Code

classification 🪐 quant-ph
keywords quantumcodeserror-detectingoptimalnonadditivecasecodecodewords
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In this paper, we investigate the optimal nonadditive quantum error-detecting codes with distance two. The the numerical simulation shows that, with n being can be 5, 6, 7, 8, 10 and 12, such the n-qubit quantum error-detecting codes with maximal number of codewords can be found. Therein, except the n=7 case, the n-vertex loop graphs help find the optimal quantum codes.

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