NMAK14020U  Quantum Information Theory (QIT)

Volume 2016/2017
Education

MSc Programme in Mathematics

Content
  • Review of Probability Theory and Classical Information Theory (Random Variables, Shannon Entropy, Coding)
  • Formalism of Quantum Information Theory (Quantum States, Density Matrices, Quantum Channels, Measurement)
  • Quantum versus Classical Correlations (Entanglement, Bell inequalities, Tsirelson's bound)
  • Basic Tools (Distance Measures, Fidelity, Quantum Entropy)
  • Basic Results (Quantum Teleportation, Quantum Error Correction, Schumacher Data Compression)
  • Quantum Resource Theory (Quantum Coding Theory, Entanglement Theory, Application: Quantum Cryptography)
Learning Outcome
  • Knowledge: The student will have become familiar with the mathematical formalism of quantum information theory and will have learned about the most fundamental results of the subject.
  • Skills: The student will be able to apply the learned knowledge in new situations and will be able to apply the abstract results in concrete examples.
  • Competences: The student will have a sound all-round understanding of the subject
Optional: basic courses in quantum mechanics, probability theory, information theory, advanced linear algebra
4 lectures and 2 tutorials each week for 7 weeks.
The course is relevant for mathematics, physics students, and computer science students
Credit
7,5 ECTS
Type of assessment
Oral examination, 20 min
20 minutes per person with 20 min preparation time
Exam registration requirements

6 mandatory homework assignments, each of which must be passed.

Aid

Written aids allowed during preparation and examination.

Marking scale
7-point grading scale
Censorship form
No external censorship
Two internal examiners
Re-exam

Same as ordinary exam. If the compulsary home work assignments have not been passed, the student must hand in the non-passed assignments at least two weeks before the beginning of the re-exam week. If they pass the student can go to the re-exam.

Criteria for exam assesment

The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.

  • Category
  • Hours
  • Lectures
  • 28
  • Exercises
  • 14
  • Preparation
  • 164
  • Seminar
  • 0
  • Total
  • 206