started to improve that.

presentation/main.tex

@@ -72,6 +72,35 @@
 \end{frame}
 }
 
+{
+\begin{frame}{Motivation: Exponentially Hard (Physical) Problems}
+    \begin{itemize}
+        \item{Some mathematical problems are exponentially hard to solve, for instance prime factorization.}
+        \item{Some physical systems are hard to observe or manipulate, relativistic fermions on a curved spacetime are
+            a typical example.}
+        \item{There exist several physical systems which are interesting to study but hard so simulate such as
+            QCD simulations at finite chemical potential or real time scattering amplitudes in QCD.}
+        \item{The exponential behaviour in time (and space) complexity brings classical supercomputers to their limits.}
+    \end{itemize}
+\end{frame}
+}
+
+{
+\begin{frame}{The Quantum Simulator}
+    \begin{itemize}
+        \item{Mapping a system which is hard to observe and/or hard to manipulate to an analogous system.}
+        \item{A typical example is Graphene which has a band structure near the $K$ point similar to relativistic fermions.}
+        \item{Original idea from Feynman.}
+    \end{itemize}
+\end{frame}
+}
+
+{
+\begin{frame}{The Universal Quantum Computer}
+
+\end{frame}
+}
+
 {
 \begin{frame}{Quantum Errors and Quantum Error Correction}
     \begin{itemize}