Plans for the week of March 24-28

Dear all, welcome back to a new week with FYS5419. We've hope you've had a great weekend.

This week we will start with a discussion of quantum Fourier transforms (QFTs) with and an emphasis on their mathematical properties.

We will continue with this topic next week (with discussions of codes and more) as well as the quantum phase estimation algorithm (QPE), which plays an important role in other algorithms, like Shor's algo and the evaluation of the energy of a system.  After our discussions of QFTs and related topics, we will end the semester with a discussion of quantum machine learning algorithms.  This week we will also discuss possible paths for project 2.

Thus, this week we aim at 

Plans for the week of March 24-28, 2025

1. Start discussion of discrete Fourier transforms and Quantum Fourier transforms, basic mathematical expressions

2. Reading recommendation Hundt, Quantum Computing for Programmers, sections 6.1-6.4 on QFT.

Discussion of possible paths for project 2

1. Implement QFTs and study the quantum phase estimation (QPE) algorithm and

a. Compare QFTs with Fast Fourier transforms or

b. Add a comparison of QPE for finding eigenvalues with the VQE method from project 1 or

c. Study Shor's algorithm for factorization of numbers or

d. Study other algorithms (you may need QFTs and QPE)

2. Study the solution of quantum mechanical eigenvalue problems with systems from atomic/molecular physics and quantum chemistry using adaptive QPE

3. Quantum machine learning projects like quantum Boltzmann machine or quantum neural networks

4. Other ideas

Feel free to come with suggestions.

Best wishes,

Morten and Odin