update on p2

Author: mhjensen

doc/Projects/2025/Project2/html/._Project2-bs000.html

@@ -1,31 +1,30 @@
 TITLE: Quantum Computing and Quantum Machine Learning
 AUTHOR: "FYS5419/9419":"https://www.uio.no/studier/emner/matnat/fys/FYS5419/index-eng.html", Quantum computing and quantum machine learning, University of Oslo, Norway
-DATE: Spring semester 2024, deaadline June 7
+DATE: Spring semester 2025, deaadline June 1
 
 
 
 ======= Possible paths for project 2  =======
 
 We discuss here three paths for the second project.
-Tentative deadline June 7.
+Tentative deadline June 1.
 
-The report should also be styled as a scientific report. The guidelines
+The report should be styled as a scientific report. The guidelines
 we have established at
 URL:"https://github.com/CompPhysics/AdvancedMachineLearning/tree/main/doc/Projects/EvaluationGrading"
 could be useful in structuring your report. We have also added a
 lecture set by Anne Ruimy (director of EDP journals) on how to write
 effective titles and abstracts. See
 URL:"https://github.com/CompPhysics/AdvancedMachineLearning/tree/main/doc/Projects/WritingAbstracts"
-for these lectures. Finally, at
-URL:"https://github.com/CompPhysics/AdvancedMachineLearning/tree/main/doc/Projects/2023/ProjectExamples"
-you can find different examples of previous reports. See also the literature suggestions below.
+for these lectures.
 
-We would like to suggest three different paths (_select only one of these_). They are
+We would like to suggest four different paths (_select only one of these_). They are
 
 o Implementing quantum Fourier Transforms (QFTs), the phase estimation algorithm and if time allows (optional Shor's algorithm).
 o Quantum Machine Learning project
 o Implementing Quantum Boltzmann machines
-
+o Study the solution of quantum mechanical eigenvalue problems with systems from atomic/molecular physics and quantum chemistry using adaptive QPE
+o Other ideas?  
 These projects are described here.
 
 ===== Alternative one, QFTs =====
@@ -213,7 +212,7 @@ Variational Quantum Eigensolver from project 1.  Discuss the results with pros a
 
 
 
-=== Project 2 g): These part is optional  ===
+=== Project 2 g): This part is optional  ===
 If you have time and would to explore Shor's algorithm for factoring, sections 6.5 and 6.6 of Hundt contain an in depth discussion on how to implement this famous algorithm. 
 
 
@@ -465,6 +464,21 @@ o C. Zoufal, A. Lucchi, and S. Woerner, _Variational quantum Boltzmann machines_
 For an implementation, see URL:"https://helda.helsinki.fi/server/api/core/bitstreams/eeadc874-f41c-4795-9149-2cd9a3bfe10d/content". You should restrict the studies here to some few qubits.  
 
 
+
+
+===== Alternative four, Adaptive VQE =====
+
+In this alterantive we study the solution of quantum mechanical
+eigenvalue problems with possible systems from atomic/molecular physics and
+quantum chemistry using the adaptive VPE method.
+This project can be seen as an extension of project 1 and could contain the following research elements
+o Extend and generalize the Lipkin model to more than $N=4$ particles.
+o Test different initialization of the qubits for the Lipkin model
+o Implement the adaptive VQE and compare with the VQE from project 1, see for example Keran Chen's master thesis at URL:"https://www.duo.uio.no/handle/10852/114006" or at URL:"https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/Projects/2025/Project2/Literature/KeranMScthesis.pdf". See also the article by Grimsley *et al.,* at URL:"https://www.nature.com/articles/s41467-019-10988-2"
+o Extend eventually your codes to include more general Hamiltonians. Here you would need to implement the so-called Jordan-Wigner transformation (Notes will be added). 
+o Feel free to suggest additional topics. 
+
+
 ===== Literature =====
 
 The following articles and books (with codes) are relevant here:

doc/Projects/2025/Project2/html/Project2-bs.html

@@ -51,7 +51,7 @@ mv -f $name.pdf ${name}.pdf
 cp $name.tex ${name}.tex
 
 # Publish
-dest=../../../../Projects/2024
+dest=../../../../Projects/2025
 if [ ! -d $dest/$name ]; then
 mkdir $dest/$name
 mkdir $dest/$name/pdf