Quantum entanglement 2021 spring

Introductory lectures on quantum entanglement, to physicist BSc., MSc., and PhD. students.
The main purpose is to illustrate quantum entanglement in finite dimensional Hilbert spaces, where the abstract notions can be made explicit by using geometric approach.
Recommended prerequisite: linear algebra. Useful prerequisite: quantum mechanics; however, the course is also useful alongside the regular quantum mechanics course, it gives a different point of view.

The physical systems in nature show different behavior in small and large scales, called "quantum" and "classical", respectively. The characteristic trait of the quantum behavior is a remarkable type of correlation, called entanglement. There is no entanglement in classical systems, which are described by classical probability theory, while in quantum systems, entanglement is a simple consequence of the quantum superposition principle. Besides the practical applications, the investigation of quantum entanglement (and quantum correlations in general) represents a highly important point of view to understand the differences between classical and quantum physics. It might be interesting to learn about a generalized probability theory also for mathematician students.

Topics planned to be covered:

Course Information

Information, announcements --> in teams

Recommended texts

The material of the course comes from several sources, including also research articles. There is no single textbook containing all that, so taking notes is recommended. Below there are some important, comprehensive works, giving wide overviews, far beyond the scope of the course. First, some general textbooks for the preliminaries:

Then, to the actual material of the course:

This page is continuously updated during the semester. see the course in MS Teams
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