Plans for the week of February 23-27

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/QuantumComputingMachineLearning/blob/gh-pages/doc/pub/week6/ipynb/two_qubit_vqe_modified.ipynb

In addition to the slides, we recommend taking a look at these two notebooks, in particular for the exercise sessions. These two notebooks describe the way we would implement the VQE algorithm ourselves and we will discuss this during the exercise/lab session and the lecture as well.

They can thus be seen as an example on how to solve exercises a-d) in project 1.

Note also that we have added some additional notes on measuring all qubits instead of one (as exposed in Hundt's textbook, chapter 6.11). Measuring on all qubits is the way mutiqubit systems are implemented on actual quantum computers.? If we get time, we will discuss these notes as well during the lecture, else you can consider them as background material. They are in a pdf format only since I am having problems loading some latex packages in the jupyter-notebooks. The file is at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/pub/week6/pdf/additional2week6.pdf

Best wishes to you all,

Carl Fredrik and Morten

p.s. For those who cannot be there in person, the lecture is fully accessible via zoom as usual. And it is always recorded.