diff --git a/thesis/chapters/stabilizer.tex b/thesis/chapters/stabilizer.tex
index a81ed77..edda92d 100644
--- a/thesis/chapters/stabilizer.tex
+++ b/thesis/chapters/stabilizer.tex
@@ -95,10 +95,10 @@ measuring a qbit is given by the following lemma:
 
     \begin{enumerate}
         \item{If $J = \{\}$, one value is measured with probability $1$ and the stabilizers are unchanged.}
-        \item{If $J \neq \{\}$, $1$ and $0$ are measured with probability $\frac{1}{2}$ and the new state
-            $\ket{\psi'}$ is stabilized by 
+        \item{If $J \neq \{\}$, $1$ and $0$ are measured with probability $\frac{1}{2}$ and after choosing
+            a $j \in J$ the new state $\ket{\psi'}$ is stabilized by 
             \begin{equation}
-                \langle \{(-1)^s g_a\} \cup \{K_G^{(i)} K_G^{(j)} | j \in J, i \in J \setminus \{j\} \} \cup \{K_G^{(i)} | i \in J^c\}\rangle
+                \langle \{(-1)^s g_a\} \cup \{S_i S_j | i \in J \setminus \{j\} \} \cup \{S_i | i \in J^c\}\rangle
             \end{equation}}
     \end{enumerate}
 \end{lemma}