diff --git a/codes/quantum/qudits/subsystem/qudit_subsystem_stabilizer.yml b/codes/quantum/qudits/subsystem/qudit_subsystem_stabilizer.yml index 4fb79ee6d..ca03e57e3 100644 --- a/codes/quantum/qudits/subsystem/qudit_subsystem_stabilizer.yml +++ b/codes/quantum/qudits/subsystem/qudit_subsystem_stabilizer.yml @@ -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}