Plans for the week of February 24-28

Dear all, welcome back to FYS5419/9419.  We hope you've had a great weekend, irrespective of the not optimal weather!

The plan this week is to discuss in detail the introduction and implementation of the VQE algorithm for a the one-qubit Hamiltonian of project 1 and prepare for the solution of the two-qubit Hamiltonian of the project 1.  We will discuss strategies and implementations as well as how to rewrite a given Hamiltonian in terms of various gates and transformations.  Next week we will also introduce a more realistic Hamiltonian and express again the Hamiltonian in terms of various Pauli matrices.

Plans for the week of February 24-28, Solving quantum mechanical problems

1. Repetition from last week on gates, measurements and one-qubit systems

2. Introducing the Variational Quantum Eigensolver (VQE) and discussion of project 1

3. Rewriting the two-qubit Hamiltonian in terms of Pauli matrices

Reading suggestions

1. 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. We will repeat some of the these properties during the first part of the lecture.

2. The VQE algorithm is discussed in Hundt's section 6.11

3. See also the VQE review article by Tilly et al.

The jupyter-notebook for this week is attached here but you will also find it at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/pub/week6/ipynb/week6.ipynb

Best wishes to you all,

Morten and Odin.

p.s. we remind you that we have also exercise sessions right after the lectures on Wednesdays