some change

This commit is contained in:
Daniel Knüttel 2020-04-14 11:50:09 +02:00
parent ff87ef0895
commit 513dacb44a
1 changed files with 10 additions and 2 deletions

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@ -321,7 +321,7 @@
\begin{frame}{Stabilizers and Stabilizer Spaces}
\begin{itemize}
\item{
Choose a finite Abelian subgroup $S$ of $P_n$ with $-I \notin S$.
Choose a finite commuting Abelian subgroup $S$ of $P_n$ with $-I \notin S$.
One can show that all elements of $S$ are hermitian.
}
\item{
@ -423,9 +423,17 @@
}
\item{If the vertices $a, b$ are isolated the resulting state after
applying $CZ_{a,b}$ can be precomputed. }
\item{When none of the above is possible one can clear at least one
\end{itemize}
\end{frame}
}
{
\begin{frame}{Dynamics of Graphical States}
\begin{itemize}
\item{When the VOPs do not commute with $CZ$ and the vertices are not isolated one can clear at least one
vertex operator (i.e. transforming it to $I$).}
\item{If both vertex operators can be cleared $\{a,b\}$ is toggled in $E$.
}
\item{
If just one vertex operator has been cleared the other vertex is isolated
and one can precompute all resulting states.}
\end{itemize}