Foundations of Quantum Physics & Information: A Training for Scientists (on request only)

The course provides participants with the advanced mathematical and physical tools commonly used in quantum theory. It is designed for those with a background in the mathematical sciences, such as physics or computer science.

Please be aware that this course is not an introduction to quantum computing or quantum technologies. Instead, it serves as a foundation for delving into the extensive introductory and advanced literature in these areas.

The course content is based on four pillars:

1. Mathematical foundation: Linear algebra (vectors, matrices, eigenstates, eigenvectors), statistical tools (expectation values, standard deviation, some common probability distributions)
2. Quantum physics foundation: Postulates of quantum mechanics, qubits, spatially extended systems, Schrödinger equation, density matrices, uncertainty principle, harmonic oscillator, generalized measurements (positive operator valued probability measures), different formulations (Schrödinger picture, Heisenberg picture, interaction picture)
3. Information theory foundation: Shannon entropy, conditional and marginal probability distributions, mutual information, channels and channel capacities
4. Quantum many-body physics: Many-body formalisms (tensor products, Schmidt decomposition, reduced density matrices, entanglement measures, second quantisation), special many-body states like Fock states and (bosonic) Gaussian states

In-depth introduction to the formal language of quantum physics

Quantum technologies are an emerging and significant field in both research and industry, using the mathematical language of quantum physics and quantum information. This essential language can be challenging for newcomers and even seasoned experts. The course provides a comprehensive introduction to the formal language of quantum physics.

Systematic and didactical approach
This course systematically develops the toolbox for quantum theory through techniques such as inverted classrooms and peer instruction. These methods foster discussion and participation and allow for the early detection of misconceptions, ensuring efficient learning and addressing individual needs.

Visualizations make quantum science more accessible

The course incorporates visualizations created by didactics experts, specifically designed to simplify and make the intricate concepts of quantum science more accessible.