Plans for third week, January 29-February 2

Dear all, we hope this week has started the best possible way. Here are our plans, with the jupyter-notebook added here, for this week.

1. Reminder and review of density matrices and measurements from last week

2. Reminder on exercises from last week

3. Schmidt decomposition and entanglement

4. Discussion of entropies, classical information entropy (Shannon entropy) and von Neumann entropy

Chapters 3 and 4 of Scherer's text contains useful discussions of several of these topics. 

The exercises from last week link also with the exercise fro this week. This exercise studies the two-qubit system and how we can compute the density matrix of a subsystem and how we can use this density matrix to compute the von Neumann entropy as a way to measure entanglement.

These exercises will hopefully prepare you for the first project, which will be made available towards the end of next week.  

Best wishes to you all,

Keran, Morten and Ruben

p.s. the jupyter-notebook for week 3 is at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/pub/week3/ipynb/week3.ipynb