Plans for the week of February 2-6

Dear all, welcome back to FYS5419.?

Here are the plans for our sessions on February 4. Since Morten is away for a workshop on quantum machine learning (Sweden), the lecture will be in the form of a recording only. However, we will run the exercise session 815-10 as normal.? Thus, no regular lecture, just a recording. This will be uploaded before the regular lecture on February 4. The teaching material is at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/pub/week3/ipynb/week3.ipynb or if you prefer the PDF variant at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/pub/week3/PDF/

There you will also find the exercises for next week as the file https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/pub/week3/pdf/exercisesweek3.pdf

If you spot typos, errors etc, please let me know.

The plan this week is to discuss

Density matrices, Entanglement, Bell states and entropy

Getting started with gates and more

For exercises, see end of these slides or jump to the file at?https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/pub/week3/pdf/exercisesweek3.pdf

Reading suggestions: Olivares chapter 2 and/or Scherer chapter 2 on density matrices and more.

Motivation

In order to study entanglement and why it is so important for quantum computing, we need to introduce some basic measures and useful quantities. For these endeavors, we will use our two-qubit system from the second lecture in order to introduce and repeat, through examples, density matrices and entropy. In particular we will focus on the so-called Bell states discussed in the previous lecture (January 28 last week).

These two quantities, together with technicalities like the Schmidt decomposition (next week) define important quantities in analyzing quantum computing examples.

Best wishes to you all,

Carl Fredrik and Morten