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642 correction
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valbert4 committed Mar 30, 2024
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Expand Up @@ -11,7 +11,7 @@ name: '\([[6,4,2]]\) error-detecting code'
introduced: '\cite{arxiv:quant-ph/9605021,arxiv:quant-ph/9702029,arxiv:quant-ph/0402171,arxiv:quant-ph/0404104}'

description: |
Error-detecting six-qubit code with rate \(1/3\) whose codewords are cat/GHz states.
Error-detecting six-qubit code with rate \(2/3\) whose codewords are cat/GHz states.
A set of stabilizer generators is \(XXXXXX\) and \(ZZZZZZ\).
It is the unique code for its parameters, up to local equivalence \cite[Tab. III]{arxiv:quant-ph/9608006v5}.
Concatenations of this code with itself yield the \([[6^r,4^r,2^r]]\) level-\(r\) \textit{many-hypercube} code \cite{arxiv:2403.16054}.
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