Semester page for FYS5419 - Spring 2026

Dear all, welcome back to FYS5419/9419. This week the plan is to end project 1 (we will discuss it during the exercise sessions and partly during the lecture this coming week). For this project you don't need to write it in the form of a scientific article. It suffices to answer the various questions. However, feel free to tailor your answers as a scientific report if you prefer that style. Let us also know if there are problems with wrapping up your answers in time. The deadline is Friday March 20 at midnight.

Since we have focused on the VQE as a the standard tool for solving many-body problems, it is now time to look at other algorithms and key features.

One of these key features, which we have postponed the discussions of, are quantum Fourier transforms. They play an essential role as central elements in many quantum computing algorithms, from the quantum phase estimation algorithm, to Shor's algorithm, quantum machine learning and many other algor...

Dear all, we hope you've had a relaxing weekend and are all ready for a new week with quantum computing.

This week the plans are?

Discussion of our final model, the Lipkin model, a two-qubit and a four-qubit system, codes and theory

Jordan-Wigner transformation and applications to other Hamiltonians (codes and theory)

Discussions and work on project 1

Start discussion of discrete Fourier transforms and Quantum Fourier transforms

Note well that the PDF file and the jupyter-notebook are different. The notebook contains an example code for the Lipkin model and for another Hamiltonian, the so-called pairing Hamiltonian. The notebook is at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/pub/week8/ipynb/week8.ipynb

The PDF file on the another is like a regular set of notes typeset in latex and contains more material about the Lipkin model and the so-called Jordan-Wig...

Dear all, welcome back to FYS5419/9419.? Here are our plans for the present week.

Plans for the week of March 2-6

Reminder on basics of the VQE method and how to perform measurements for the simpler one- and two-qubit Hamiltonians

Simulating efficiently the two-qubit Hamiltonians on quantum computers with the VQE method and gradient descent to optimize the state function ansatz

Introducing the Lipkin model and how to program it with the VQE

Work on project 1 during lab/exercise sessions

Readings and notebooks

For the discussion of one-qubit, two-qubit and other gates, sections 2.6-2.11 and 3.1-3.4 of Hundt's book?Quantum Computing for Programmers, contain most of the relevant information.

The VQE algorithm is discussed in Hundt's section 6.11, note that the solution of the two-qubit system is outdated, measuring on one qubit only is not the present standard, see additional notes be...

Dear all, welcome back to a new week and exciting applications of quantum computing algorithms.

This week our plans are as follows:

Repetition from last week on the VQE with applications to a one-qubit problem

Setting up calculations with the Variational Quantum Eigensolver (VQE) for one- and two-qubits Hamiltonians

Deriving the expressions for the gradients and setting up measurements in the computational basis

The teaching material is at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/pub/week6

Reading suggestions

Hundt's text section 6.11 on the VQE

Jupyter-notebook on VQE and single-qubit problem at?https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/pub/week6/ipynb/single_qubit_vqe_modified.ipynb

Jupyter-notebook on VQE and two-qubit problem at?https://github.com/CompPhysics/QuantumComputingMachineLearni...

Dear all, welcome back to FYS5419/9419. This week is when the fun begins with the VQE algorithm.

Note that the lecture this week is via zoom only (direct, but it will be recorded as well as always). The exercise session runs as usual. In addition to what we discussed last week, with the information here, you should be able to start writing your own VQE code.

The first part of the lecture will focus

Review from last week, one-qubit gates and one-qubit Hamiltonian rewritten in term of Pauli matrices (with some slides from last week)

Two-qubit Hamiltonians and how to encode them in terms of Pauli matrices

Then we start discussing the? variational quantum eigensolver algorithm (VQE)?

Discussion of project 1 during the lecture and the exercise session, see the jupyter-notebooks mentioned below.

Readings

For the discussion of one-qubit, two-qubit and other gates, sections 2.6-2.11 and 3....

Dear all, welcome back to FYS5419/9419. And please excuse me for this late notice.

This week we plan to (see slides at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/pub/week4/ipynb/week4.ipynb):

Start with a reminder from last week on Entanglement, entropy and density matrices

Discuss one-qubit and two-qubit gates, background and realizations, see also PDF file?https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/pub/week4/pdf/gates.pdf.? This file has figures which are more difficult to run properly with a jupyter-notebook.

Simple Hamiltonian systems and start discussion of project 1. Project 1 is now ready and can be found at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/Projects/2026/Project1.? This week we will discuss mainly exercises a-b.?

Introduction to qiskit (for exercise sessions). See notes at?https://github....

Dear all, welcome back to FYS5419.?

Here are the plans for our sessions on February 4. Since Morten is away for a workshop on quantum machine learning (Sweden), the lecture will be in the form of a recording only. However, we will run the exercise session 815-10 as normal.? Thus, no regular lecture, just a recording. This will be uploaded before the regular lecture on February 4. The teaching material is at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/pub/week3/ipynb/week3.ipynb or if you prefer the PDF variant at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/pub/week3/PDF/

There you will also find the exercises for next week as the file https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/pub/week3/pdf/exercisesweek3.pdf

If you spot typos, errors etc, please let me know.

The plan this week is to discuss

Density matrice...

Dear all, welcome back. We hope you've had a great start of the week. With this mail we'd like to give you an overview of these week's plans, with exercises and links to possible reading recommendations. This week we have also our first exercise session, although it is not listed in the official schedule. The exercise sessions start at 815am and last till 10am on Wednesdays and we are at F?434, same room as the lectures.

Carl Fredrik Nordb? Knutsen will be there as TA, I will most likely be there around 9am.?

You find the exercises at the end of the slides from last week. The exercises for next week are at the end of this week's material, which you find at?

https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/pub/week2/ipynb/week2.ipynb

We will start with a review from last week and then move to these week's topics. That is:

Summary from last week and plans for this week

Last w...

Dear all, first a great welcome to FYS5419/9419 and thx so much for having chosen the course.

All educational material is available via the GitHub repository at https://github.com/CompPhysics/QuantumComputingMachineLearning

Furthermore, for those of you who cannot be there physically, you can attend the lectures via zoom. All lectures will be recorded.

Permanent Zoom link for the whole semester is https://uio.zoom.us/my/mortenhj?

The first part of the course (project 1 and till mid march) has its focus on studies of quantum-mechanical many-particle systems using quantum computing algorithms and quantum computers. The second part is optional and depends on the interests and backgrounds of the participants. Two main

themes can be covered:

- Quantum machine learning algorithms, implementations and studies

- Realization and studies of entanglement in physical systems

The tentative plan...