Plans for the week of March 10-14

Dear all, we hope you've had an excellent start of the week, and a pleasant weekend. This week we will end our discussions of the theory for project 1 with an in depth discussion of the Lipkin model and how to implement it. Next week we will work on project 1 only (no lecture) and if more time  may be needed for wrapping up the project, we can discuss an eventual extension of the deadline (set to March 21).

Our plan for this week is thus

Plans for the week of March 10-14: Solving quantum mechanical problems with VQE algorithm

1. Discussion of our final model, the Lipkin model, a two-qubit and a four-qubit system

2. Discussions and work on project 1

Reading recommendation

Hundt's chapter 3 and 4 contain many useful hints for computing properties of Pauli matrices. Similarly, section 6.11 has many details of relevance for project 1.

More background material

For the Lipkin model, we recommend strongly the work of LaRose and collaborators, see https://journals.aps.org/prc/abstract/10.1103/PhysRevC.106.024319, the article is also available at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/articles/PhysRevC.106.024319.pdf. See in particular section 3.

For codes, feel free to be inspired and/or reuse the codes at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/Programs/LipkinModel.

We will discuss these codes as well during the lectures. 

The lecture notes (jupyter-notebook, some additions, corrections of typos etc  may be added during Monday and Tuesday) are at

https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/pub/week8/ipynb/week8.ipynb

Best wishes to you all,

Morten and Odin