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valbert4 committed Jul 16, 2024
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A Hermitian self-orthogonal linear \([n,k,d]_{4}\) code yields an \([[n,n-2k]]\) qubit stabilizer code with distance no less than \(d\); this is the \textit{qubit Hermitian construction}.
A variant construction allows for the use of nearly self-orthogonal codes \cite{doi:10.1007/s10623-014-9934-8}.
A variant, related to Construction X, allows for the use of nearly self-orthogonal codes \cite{doi:10.1007/s10623-014-9934-8}.
The stabilizer generator matrix is of the form
\begin{align}
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