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clarification subsystem
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valbert4 committed Sep 29, 2023
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Expand Up @@ -50,6 +50,7 @@ description: |
\mathsf{G}&\to\left\langle \mathsf{G},\mathsf{F}\right\rangle ~.
\end{split}
\end{align}
The stabilizer group of the output subsystem code is a subgroup of that of the input code, \(\mathsf{Z}\left(\left\langle \mathsf{G},\mathsf{F}\right\rangle \right)\subseteq\mathsf{Z}\left(\mathsf{G}\right)\).
When \(\mathsf{F}\) is a subgroup of the logical Pauli group, this is also called \textit{gauging}.
If \(\mathsf{F}\) is itself a Pauli group of \(m\) logical qubits of the original subsystem code, then gauging those qubits is equivalent to treating them as gauge qubits.
\end{defterm}
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