NMAK14020U Quantum Information Theory (QIT)

Volume 2015/2016
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

     
Mandatory: Lineær Algebra (LinAlg) or equivalent basic course in linear algebra
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
  • Category
  • Hours
  • Exercises
  • 14
  • Lectures
  • 28
  • Preparation
  • 164
  • Seminar
  • 0
  • Total
  • 206
Credit
7,5 ECTS
Type of assessment
Oral examination, 20 min
20 minutes per person without preparation time.
Aid
Without aids
Marking scale
passed/not passed
Censorship form
No external censorship
Several internal examiners
Criteria for exam assesment

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