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Lecture: Foundations of Quantum Mechanics

Lecturer: David Gross. Exercises: Mariami Gachechiladze, Lukas Franken

Course description

The course will cover the properties of quantum mechanics that are fundamentally different from any classical theory. This contrasts with the usual QM classes, where the goal is to treat specific systems; and with Quantum Information Theory, where the focus lies on ways to exploit quantum behavior for computation and communication.

Topics are:

  • Contextuality, Bell inequalities, and "quantum non-locality"
  • Causality and its interaction with quantum probability
  • Uncertainty relations and their interpretation
  • The problem of joint measurability
  • No-cloning
  • Generalized Probabilistic Theories, post-quantum correlations and their convex geometry
  • Measurement theory and decoherence
  • Projective representations of symmetries


Language is English, despite what Ilias says (don't know how to change that...)

 

Organization

The lecture will take place online. Video recordings will be provided. The lecture is good for 6 ECTS points and will fit into the GR/QFT and the CM/CP areas of specialization.

There will be Zoom online meetings:

  • Every Monday at 4pm with the lecturer David Gross
  • Every Tuesday at 4pm with the exercise team Mariami Gachechiladze and Lukas Franken

Next lecture meeting: Back to original 4.00pm! Monday, 25th of May, 4.00pm. Click here to join Zoom meeting.

Next exercise meeting: Tuesday, the 28th, 4pm. Click here to join Zoom meeting.

For exercises and general communication it is highly recommended to join the Slack-Channel, which is set up for organization of all master lectures' tutorials offered by the Institute for Theoretical Physics. Click here to join! Mail addresses associated with Universitites Cologne and Bonn can join automatically, for access with your private mail, please contact Lukas Franken.

 

Material

Using this link, you can access the contents of the whiteboard. Videos can be accessed via direct links below, or via the Vimeo showcase. Password is "quantum", with "qu" replaced by "kw" (to discourage scrapping).

Exercises

Solutions to all discussed exercises.

Week 1

Lectures
Further Reading

Week 2

Lectures
Further reading

Week 3

Lectures
Further Reading

 

Week 4

Announcement: Previous videos used 1k (or "full HD") resolution. All following videos are available in 4k. If you have sufficient bandwith, make sure to select 4k by clicking on the cogwheel.

Further Reading

Week 5

Further Reading

Week 6

Further Reading