Add Tanner graph from AutDec paper

src/midterm_presentation/main.tex

@@ -431,8 +431,13 @@
         \item Example: The 3-qubit repetition code for $\X$ errors
     \end{itemize}
 
-    \vspace*{-5mm}
+    \vspace*{5mm}
 
+    \begin{figure}[H]
+        \centering
+        \hspace*{-25mm}
+        \begin{subfigure}{0.4\textwidth}
+            \centering
             \begin{align*}
                 \bm{H} =
                 \begin{pmatrix}
@@ -441,7 +446,6 @@
                 \end{pmatrix}
             \end{align*}
 
-    \begin{figure}[H]
             % \newcommand{\anyerrgate}{\gate[style={fill=red!20}]{\mathcal{E}_\text{XYZ}}}
             \newcommand{\preperr}{\gate[style={fill=orange!20}]{\phantom{1}}}
             \newcommand{\gateerr}{\gate[style={fill=red!20}]{\phantom{1}}}
@@ -457,10 +461,17 @@
                 \lstick{$\ket{0}_{\text{A}_2}$} &          &          & \targ{}  & \targ{}  &  \meter{} & \setwiretype{c}
             \end{quantikz}
             % tex-fmt: on
-        % \caption{Circuit-level noise model for the 3-qubit repetition code}
+        \end{subfigure}%
+        \begin{subfigure}{0.15\textwidth}
+            \centering
+            \begin{align*}
+                \bm{H} \bm{y}^\text{T} = \bm{s}
+            \end{align*}
+            \vspace*{-5mm}
+        \end{subfigure}
     \end{figure}
 
-    \vspace*{5mm}
+    \vspace*{10mm}
 
     \addreferences
     {nielsen_quantum_2010}
@@ -1115,8 +1126,6 @@
     \vspace*{-17mm}
 
     \begin{itemize}
-        \item \schlagwort{Detector error matrix} $\bm{H}$ contains
-            modified error patterns \citereference{derks_designing_2025}
         \item Repetition of errors mitigated by XORing measurements
     \end{itemize}
 
@@ -1171,6 +1180,7 @@
     \begin{minipage}{0.6\textwidth}
         \newcommand\cc{\cellcolor{blue!20}}
 
+        \visible<3->{
             \begin{align*}
                 \bm{H} =
                 % tex-fmt: off
@@ -1184,6 +1194,7 @@
                 \end{array}\right)
                 % tex-fmt: on
             \end{align*}
+        }
     \end{minipage}
 
     \vspace*{5mm}
@@ -1192,6 +1203,8 @@
         \begin{itemize}
             \item A detector is a parity constraint on a set of
                 measurement outcomes
+            \item The \schlagwort{detector error matrix} $\bm{H}$ contains
+                modified error patterns \citereference{derks_designing_2025}
         \end{itemize}
     }
 
@@ -1328,16 +1341,20 @@
                             \fill[kit-blue!60]
                             ($(path picture bounding box.south west)+(0,0)$) --
                             ($(path picture bounding box.north west)+(0,0)$) --
-                            ($(path picture bounding box.north west)+(0.34,0)$) -- cycle;
+                            ($(path picture bounding box.north
+                            west)+(0.34,0)$) -- cycle;
                             \fill[kit-orange!60]
                             ($(path picture bounding box.north east)+(0,0)$) --
                             ($(path picture bounding box.south east)+(0,0)$) --
-                            ($(path picture bounding box.south east)+(-0.34,0)$) -- cycle;
+                            ($(path picture bounding box.south
+                            east)+(-0.34,0)$) -- cycle;
                             \fill[kit-red!60]
                             ($(path picture bounding box.north east)+(0,0)$) --
-                            ($(path picture bounding box.south east)+(-0.34,0)$) --
+                            ($(path picture bounding box.south
+                            east)+(-0.34,0)$) --
                             ($(path picture bounding box.south west)+(0,0)$) --
-                            ($(path picture bounding box.north west)+(0.34,0)$) -- cycle;
+                            ($(path picture bounding box.north
+                            west)+(0.34,0)$) -- cycle;
                         }
             }]{\phantom{1}}}
 
@@ -1394,22 +1411,40 @@
     % - Babar et al. use the SPA
     % - A lot of publications use Roffe's ldpc package -> min-sum
 
+    \vspace*{-10mm}
+
     \begin{itemize}
-        \item A \ac{dem} combines a detector error matrix and a noise model
+        \item A \schlagwort{\acl{dem}} (DEM) combines a detector error
-        \item When employing \ac{bp}, the syndrome-based variant must
+            matrix and a noise model
-            be used \citereference{babar_fifteen_2015}
+            \visible<2->{
-        \item The likelihoods of different error locations can be
+            \item Tanner graph of detector error matrix of \ac{bb} code
-            used as priors for decoding
+                \citereference{koutsioumpas_automorphism_2025}
+            }
+    \end{itemize}
+
     \vspace*{5mm}
+
+    \visible<2->{
+        \begin{figure}[H]
+            \centering
+
+            \includegraphics[scale=5,angle=90]{res/stergios_tanner_graph}
+        \end{figure}
+    }
+
+    \visible<3->{
+        \begin{itemize}
             \item Challenges
                 \begin{itemize}
-                \item Repeated syndrome measurements come with
+                    \item Repeated syndrome measurements lead to
                         increased decoding complexity
                         \citereference{gong_toward_2024}
                     \item Degeneracy and short cycles lead to degraded
-                    performance of \ac{bp} \citereference{babar_fifteen_2015}
+                        performance of \ac{bp}
+                        \citereference{babar_fifteen_2015}
                 \end{itemize}
         \end{itemize}
+    }
 
     \vspace*{20mm}
 
@@ -1481,6 +1516,8 @@
             \ac{bp} with guided decimation
     \end{itemize}
 
+    \vspace*{5mm}
+
     \begin{figure}
         \begin{subfigure}[b]{0.5\textwidth}
             \newcommand{\pz}{\phantom{\bm{0}}}
@@ -1559,8 +1596,6 @@
         \end{subfigure}%
     \end{figure}
 
-    \vspace*{3mm}
-
     \visible<2->{
         \begin{itemize}
             \item However, no passing of soft information between windows