In the winter semester 25/26 I am teaching the mathematical foundation of quantum information at Saarland University. Here, I provide course material such as lecture notes and exercise sheets. 

When and where:

Mo 10:00-12:00, Mi 14:00-16:00, Gebäude E2 5 - Hörsaal II (0.02), the first lecture takes place October 15.

Course description: 

Quantum Information Theory is a field at the intersection of physics, mathematics, and computer science. It aims to delineate which information-processing tasks are, and are not, possible using the resources of quantum physics.

There are at least two motivations to study quantum information theory. First, physical reality is accurately described by quantum mechanics and the latter leads to a fundamentally different notion of information. Second, potential applications such as quantum computing are emerging and may significantly affect our future technological landscape.

Despite these technical aspects, we will study quantum information from an abstract, mathematical point of view, without requiring a background in physics.

We will introduce Hilbert spaces, tensor products, quantum states and channels, qubits, and basic tasks in quantum information such as the quantum teleportation protocol. We will also cover the concepts of entanglement and entropy, before discussing selected topics such as quantum algorithms and quantum key distribution

Some literature:

• Nielsen and Chuang.

• Quantum Information Theory by Mark Wilde. 

• The Theory of Quantum Information by John Watrous. 

• The lecture notes by Matthias Christandl, Māris Ozols, Michael Walter, and Freek Witteeven.