added example on clearing VOPs
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@ -1,7 +1,8 @@
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graph start
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{
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labelloc="t";
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label="Initial Graph";
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label="#0: Initial Graph";
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0 [label="0, VOP = 7"]
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1 [label="1, VOP = 19"]
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@ -9,6 +10,9 @@ graph start
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3 [label="3, VOP = 7"]
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4 [label="4, VOP = 3"]
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{rank=same; 0; 1}
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{rank=same; 2; 3}
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0 -- 1 -- 2 -- 3 -- 4 -- 1
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2 -- 4
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}
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@ -1,11 +1,18 @@
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graph intermediate
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{
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labelloc="t";
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label="#1: La(1)";
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0 [label="0, VOP = 10"]
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1 [label="1, VOP = 21"]
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2 [label="2, VOP = 5"]
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3 [label="3, VOP = 7"]
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4 [label="4, VOP = 6"]
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{rank=same; 0; 1}
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{rank=same; 2; 3}
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0 -- 1
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0 -- 2
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0 -- 4
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@ -1,11 +1,18 @@
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graph intermediate
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{
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labelloc="t";
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label="#2: La(1)";
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0 [label="0, VOP = 0"]
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1 [label="1, VOP = 11"]
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2 [label="2, VOP = 8"]
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3 [label="3, VOP = 7"]
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4 [label="4, VOP = 9"]
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{rank=same; 0; 1}
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{rank=same; 2; 3}
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0 -- 1 -- 2 -- 3 -- 4 -- 1
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2 -- 4
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}
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@ -1,11 +1,18 @@
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graph intermediate
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{
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labelloc="t";
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label="#3: La(1)";
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0 [label="0, VOP = 4"]
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1 [label="1, VOP = 5"]
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2 [label="2, VOP = 2"]
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3 [label="3, VOP = 7"]
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4 [label="4, VOP = 11"]
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{rank=same; 0; 1}
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{rank=same; 2; 3}
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0 -- 1
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0 -- 2
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0 -- 4
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@ -1,11 +1,18 @@
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graph intermediate
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{
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labelloc="t";
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label="#4: La(2)";
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0 [label="0, VOP = 7"]
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1 [label="1, VOP = 8"]
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2 [label="2, VOP = 6"]
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3 [label="3, VOP = 10"]
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4 [label="4, VOP = 11"]
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{rank=same; 0; 1}
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{rank=same; 2; 3}
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0 -- 2
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0 -- 4
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0 -- 3
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@ -1,11 +1,18 @@
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graph intermediate
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{
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labelloc="t";
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label="#5: La(2)";
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0 [label="0, VOP = 10"]
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1 [label="1, VOP = 2"]
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2 [label="2, VOP = 14"]
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3 [label="3, VOP = 0"]
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4 [label="4, VOP = 11"]
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{rank=same; 0; 1}
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{rank=same; 2; 3}
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0 -- 1
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0 -- 2
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0 -- 4
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@ -715,6 +715,56 @@
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\end{frame}
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}
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{
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\begin{frame}{Clearing VOPs: Example}
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\begin{itemize}
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\item{Vertex operators are represented by an integer; most of the VOPs are not important.}
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\item{Some notable VOPs are $0 = H$, $1 = S$, $2 = I$, $19 = \sqrt{iZ}^2\sqrt{-iX}^3$.}
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\item{
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\includegraphics[width=0.5\textwidth]{graphs/clear_vop_01.png}
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Clearing the VOP on vertex $1$ uses the transformation $La(1) La(1) La(1) La(2) La(2)$.
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}
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\end{itemize}
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\end{frame}
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}
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{
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\begin{frame}{Clearing VOPs: Example}
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\includegraphics[width=0.5\textwidth]{graphs/clear_vop_01.png}
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\includegraphics[width=0.5\textwidth]{graphs/clear_vop_02.png}
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\end{frame}
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}
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{
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\begin{frame}{Clearing VOPs: Example}
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\includegraphics[width=0.5\textwidth]{graphs/clear_vop_02.png}
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\includegraphics[width=0.5\textwidth]{graphs/clear_vop_03.png}
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\end{frame}
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}
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{
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\begin{frame}{Clearing VOPs: Example}
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\includegraphics[width=0.5\textwidth]{graphs/clear_vop_03.png}
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\includegraphics[width=0.5\textwidth]{graphs/clear_vop_04.png}
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\end{frame}
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}
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{
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\begin{frame}{Clearing VOPs: Example}
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\includegraphics[width=0.5\textwidth]{graphs/clear_vop_04.png}
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\includegraphics[width=0.5\textwidth]{graphs/clear_vop_05.png}
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\end{frame}
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}
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{
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\begin{frame}{Clearing VOPs: Example}
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\includegraphics[width=0.5\textwidth]{graphs/clear_vop_05.png}
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\includegraphics[width=0.5\textwidth]{graphs/clear_vop_06.png}
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\end{frame}
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}
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{
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\begin{frame}{Clearing VOPs: Example}
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\includegraphics[width=0.5\textwidth]{graphs/clear_vop_01.png}
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\includegraphics[width=0.5\textwidth]{graphs/clear_vop_06.png}
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\end{frame}
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}
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{
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\begin{frame}{Measurements on Graph States}
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\begin{itemize}
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