update week 10

Author: mhjensen

doc/src/week10/Latexfiles/week10.pdf

@@ -21,26 +21,22 @@
 %------------------------------------------------
 \begin{frame}{Outline I}
 \begin{enumerate}
-\item Motivation and definition
-\item From the classical DFT to the QFT
-\item Derivation of the product form
+\item From the classical DFT to the QFT, reminder from last week
 \item Circuit decomposition with Hadamards and controlled phases
 \item Worked 2- and 3-qubit examples
 \item Approximate QFT and complexity
-\item Connection to quantum phase estimation
 \item Implementation logic and simulation remarks
 \end{enumerate}
 \end{frame}
 
 \begin{frame}{Outline II}
 \begin{enumerate}
-
-\item Quantum Phase Estimation (QPE): goal and idea
-\item Step-by-step derivation of QPE
+\item Quantum Phase Estimation (QPE)
 \item Bit-string interpretation and precision
 \item Connection to Hamiltonian simulation
 \item Connection to Variational Quantum Eigensolvers (VQE)
 \item Summary and outlook
+\item Themes for the second project
 \end{enumerate}
 \end{frame}
 
@@ -1140,14 +1136,33 @@
 \end{frame}
 
 %================================================
-\begin{frame}{Possible Next Topics}
-Natural follow-ups include:
+\begin{frame}{Possible Next Topics and suggestions for the second project}
+\begin{itemize}
+\item Continuation of project 1 with  more realistic systems and using adaptive VQE on actual (real) quantum computers
+\item Implementation and studies of the Quantum Approximate Optimization Algorithm (QAOA): Simulation of linear algebra systems on quantum computers, solving differential equations
+\item Applications and implementations of quantum machine learning algorithms
+\item Implement quantum neural networks for PINNs
+\item Detailed quantum chemistry applications.
+\end{itemize}
+\end{frame}
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+
+\begin{frame}{Suggestions for the second project}
 \begin{itemize}
-\item error and success-probability bounds,
-\item Hamiltonian simulation methods,
-\item comparison with Bayesian phase estimation,
-\item detailed quantum chemistry applications.
+\item Studies of entanglement and physical realization of quantum gates and circuits
+\item Implementing Shor's algorithm or other algorithms
+\item Parallelizing the Variational Quantum Eigensolver with multi-GPU scaling, see \url{https://arxiv.org/abs/2601.09951}
+\item Implementing and comparing the quantum phase estimation algorithm with VQE, see recent QPE paper at \url{"https://arxiv.org/abs/2601.05788}
+\item Studies of hyperparameters in VQE, see for example \url{https://arxiv.org/abs/2601.16679}
+\item Implementing unitary coupled cluster theory on a quantum computer, see \url{https://arxiv.org/abs/2501.15893}
 \end{itemize}
 \end{frame}
 
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 \end{document}
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