# Summer term 2024

*(To join any of the lectures, please register at Unisono or reach out to the lecturers) *

## Aspects of Machine Learning: Causality

**Lecturers:** Otfried Gühne and Stefan Nimmrichter**Exercises:** TBD

**Schedule:**

First lecture: Monday, April 8th, 2024, 12 p.m., room D308.

Exercises: Thursdays, 12-14h, D308

**Prerequisites:** This is a lecture in the MSc Physics program, but it may also be suitable for motivated BSc students starting from the fourth semester

**Content:**

Two physical quantities or observations can be correlated, but this does not necessarily imply that one is the cause of the other. This lecture gives an introduction into the modern theory of causality, which uses rigorous notions of causes, effects, and interventions and allows to infer causal structures from observations. Topics are:

• Statistical dependencies: Bayesian reasoning and Simpson’s paradox

• Causal models and their graphical description

• Effects of interventions and latent variables

• Causal inference: How to identify cause and effect?

• Applications in physics, sociology and medicine

## Key Concepts of Theoretical Physics

**Lecturers:** Otfried Gühne, Matthias Kleinmann, Chau Nguyen, Stefan Nimmrichter, Ramona Wolf**Exercises:** TBD

**Preliminary meeting:** Wednesday, April 10th, 2024, 12:15 p.m., room B-127

(Probably, the seminar takes place on Wednesdays, 12 p.m. - 2 p.m.

The exact dates and topics for the talks will be fixed in this meeting.)

**Content:**

Concept and topics: The idea of this seminar for MSc students is to learn key ideas and typical concepts in theoretical physics. Participants should read the relevant literature and present it to the audience. Possible topics are:

• Black hole information paradox: Is information lost, if it falls into the hole?

• Quantum clocks: How to measure time with ultimate precision?

• Lorenz equations as examples of nonlinear differential equations: Chaotic behaviour and strange attractors

• Metamaterials: What happens, if the index of refraction becomes negative?

• Tensor networks: How to simulate quantum systems?

• Anyons in two-dimensional systems: Are there particles which are neither bosons nor fermions?

## Quantum Information Theory

**Lectures:** Matthias Kleinmann**Exercises:** TBD

**Schedule:**

Lectures: Tuesdays 12:15 & Fridays 10:15, D120 (1st Lecture 9th April)

Exercises: Fridays 14:15, D115

**Prerequisites:** Quantum theory

**Content:**

• Modern language of quantum theory

• Basics of classical & quantum information theory

• Quantum cryptography (BB84)

• Quantum algorithms (Simon, Grover, Shor)

• Models of quantum computation (circuit, one-way, adiabatic)

• Basics of quantum error correctio