diff --git a/presentation/main.tex b/presentation/main.tex index 43d330c..7fba7b2 100644 --- a/presentation/main.tex +++ b/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}