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All the weird things about Nature you were always curious about
Gauge Theory for Quantum Technologists
(Spring 2024). This is a mini-course being currently taught at Quandela. The material is particularly addressed to quantum technologist practitioners that don’t necessarily have a physics background. This is a survey course on some common topics and tools in gauge theory that often implicitly appear in the “quantum-tech” literature. The overlap becomes rather explicit in the subject of Quantum Error Correction. We will aim at giving a general overview of these connections throughout the sessions.
Here you can access the preliminary syllabus and structure of the mini-course.
Notes for Session 0.
This is a preliminary session to find some common ground, fix terminology and introduce notation that will be used in following sessions.
Notes for Session 1.
We discuss electromagnetism as a gauge theory. The focus of the session consists in introducing well-known conventional results in electromangetism. We introduce the standard minimal coupling to matter and analyse study cases with non-trivial phenomenology.
Notes for Session 2.
The goal of this session is to study slightly non-trivial gauge fields and their associated theories. Mostly, we deal with non-trivial topology and its effects on Physics. We introduce the concept of geometric phases and observe a topological instance of a Berry phase in the Aharonov-Bohm effect. We also explore the natural appearance of Chern-Simons theory and its link with statistical transmutation.
Future notes for Session 3.
Future notes for Session 4.
Future notes for Session 5.