Quantum Walks: Deterministic and Random.

The concept of quantum walks on a graph has gained popularity in the
scientific literature in recent years, likely due to its intersection
between theoretical computer science, physics, and mathematics. After
providing an overview of some popular quantum walks to illustrate their
significance in these fields, we will focus on the quantum walks
commonly referred to as "coined quantum walks" in the literature. Taking
a discrete dynamical system perspective on these quantum walks, we will
then discuss some of their transport properties in various regimes, both
random and deterministic. This discussion will highlight the differences
and similarities between coined quantum walks and classical random walks.

This initiative is part of the "PhD Lectures" activity of the project
"Departments of Excellence 2023-2027", consisting of seminars open to
Ph.D. students, followed by meetings with the speaker to discuss and go
into detail on the topics presented at the talk.