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On completion of this couse, students have acquired a deep knowledge of methods used in the theory of quantum random walks and quantum probability. Moreover they are familiar with relevant mathematical literature and can judge its mathematical content. They are able to examine problems related to quantum random walks and quantum probability in a creative and methodically correct manner and to present the result of those examinations in written form and orally as to be understood well by experts.

This research seminar offers the opportunity to explore and present a current topic from the theory of quantum probability and quantum random walks. We will concentrate on research articles and lecture notes on quantum probability and quantum random walks.

Disscussions and presentations of recent research papers in quantum probability and quantum random walks.

Continuous assessment (based on regular written and oral contributions by the participants).

1. Lecture notes: "Introduction to quantum probability" by J.M Swart.
2. Article: "A concise introduction to quantum probability, quantum mechanics, and quantum computation" by Greg Kuperberg
3. A first look at quantum probability:

• Link part 1: https://www.math3ma.com/blog/a-first-look-at-quantum-probability-part-1
• Link part 2: https://www.math3ma.com/blog/a-first-look-at-quantum-probability-part-2