After successful completion of the course, students are able to explain the basic concepts and techniques of quantum computing and use the necessary tools from physics and mathematics. Essential register operations as the basis of a quantum assembler are clear. Basic algorithms and their representations are understood. Fundamental properties of quantum information such as teleportation, superdense coding or no-cloning are recognized. The meaning of entangled states and quantum parallelism are clear. Also the limitations of NISQ machines and the basics of quantum error correction are understood.

• Quantum phenomena
• Eigenvalues and Eigenspaces
• Hilbert spaces
• Linear mappings and operators
• Tensor products
• Spectral theorem
• Quantum bit and quantum register
• 1-Qbit operators and quantum register operators
• Universal operator sets
• Overview Tools
• Algorithms of Deutsch-Josza, Shor, Grover
• Complexity
• Observables and measurements
• teleportation, superdense coding, no-cloning
• Insights into quantum cryptography
• Quantum error correction
• NISQ

Solving exercises; introduction to the use of IBM Q

Virtual attendance required.
The event takes place live via Webex, no videos are offered.

ECTS Breakdown:
6 ECTS = 150 hours.

20 hours VO, 20 hours UE, 110 hours follow-up work for the lecture, work on lab topics, exercises, presentation of results.

Contact:
Prof. Frank Leymann (Univ. Stuttgart) - frank.leymann@iaas.uni-stuttgart.de
Dr. Johanna Barzen   (Univ. Stuttgart) - johanna.barzen@iaas.uni-stuttgart.de

Personal presentation of own solutions of the exercises.
Participation in the lecture and the exercises.

Linear Algebra