NMAK14020U Quantum information theory (QIT)

Volume 2014/2015
Education
MSc Programme in Mathematics
MSc Programme in Statistics
MSc Programme in Mathematics-Economics
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
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
  • 18
  • Lectures
  • 36
  • Preparation
  • 150
  • Seminar
  • 2
  • Total
  • 206
Credit
7,5 ECTS
Type of assessment
Oral examination
Students give presentations (in groups of size 1-3) at the end of the course
about certain topics. 20 minutes per person without preparation time.
Aid
Only certain aids allowed

The students may bring  reports on the topics of the examination.

Marking scale
passed/not passed
Censorship form
No external censorship
One internal examiner
Criteria for exam assesment

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