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

  • English
  • Munich
  • On Campus
  • 2,750 €

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

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Why this program

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.


  • Certificate: After completion of the course, participants will receive a certificate of participation from the Technical University of Munich.
  • Duration: 5 days within 5 weeks
  • Language: English
  • Academic Responsibility:
    • Jan von Delft, Chair of Theoretical Solid State Physics, Department of Physics, Ludwig-Maximilians-Universität München
    • Alexander Holleitner, Walter Schottky Institute and Physics Department, Chair of Nanotechnology and Nanomaterials, Technical University of Munich
  • Dates: 17.10., 24.10., 31.10., 07.11., 14.11.2024 (dates can be adjusted after consultation)
  • Location: On-site at the company
  • Target Group: This program was developed for persons with a mathematical science background who wish to actively work with the formal tools of quantum physics and seek intensive training in these methods, such as:
    - Computer Scientists
    - Mathematicians
    - Physicists
  • Program Fee: 2,750 € per person (up to 9 participants)
    2,500 € per person (10 or more)
  • Discounts: 10% discount for members or employees of our strategic cooperation partners (see below)
  • Access Requirements: Participants need to have:
    - a degree in a mathematical science like physics, mathematics or computer science
    - a background in the basics of linear algebra (vectors and matrices)
    - sufficient time (> 4 hours per week) to asynchronously work on material between live sessions - this is an essential requirement to be able to cover the vast range of topics in the course.

    A pre-course in linear algebra and statistics is available to accommodate the varying knowledge levels and learning paces of participants.

*Based on our experience, the German tax benefits help many of our participants to self-finance their education, as these can be worth up to 50% of tuition fees and program-related travel costs. Please consult your tax advisor for more details. This might apply to participants of our programs residing outside Germany; please check the situation with the local tax authorities in your country of residence.


  • Judith Gabel, Chair of Theoretical Solid State Physics, Faculty of Physics, Ludwig-Maximilians-Universität München
  • Björn Ladewig, Chair of Theoretical Solid State Physics, Faculty of Physics, Ludwig-Maximilians-Universität München


For more information about the QL3 Advisory Board, please click here.

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Our participation and cancellation policy can be found here.

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Franziska Sennebogen
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+49 (89) 289 26761
Franziska Sennebogen

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