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

Introduction to the use of IBM Q.
Inverted Classroom

• Attendance at the virtual kickoff on October 6, 2023 is mandatory.
  https://unistuttgart.webex.com/unistuttgart/j.php?MTID=mfaf62649545fcebc0389f92c3f36774f
  
  
• The videos will be made available on October 6, 2023 (virtual kickoff).
  
  
• Watch videos by Dec. 11, 2023, discussion afterwards (see below for dates).
  
  
• Registration until October 6, 2023.

ECTS Breakdown:
3 ECTS = 75 hours

20 hrs lecture, 40 hrs preparation for the lecture and 15 hrs exam preparation.

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

Oral examination

No lecture notes are available.

Linear Algebra