NMAK14020U Quantum Information Theory (QIT)
MSc Programme in Mathematics
MSc Programme in Physics
MSc Programme in Mathematics with a minor subject
MSc Programme in Quantum Information Science
The course gives an introduction to Quantum Information Theory. The subject is interdisciplinary in nature, developing concepts and ideas from computer science and information theory on the background of a world consisting of particles governed by quantum mechanics. As the language of quantum mechanics, computer science and information theory is mathematics, in particular probability theory and linear algebra, the course has a mathematical flavour.
- 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)
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
Academic qualifications equivalent to a BSc degree is recommended.
- Category
- Hours
- Lectures
- 28
- Preparation
- 160
- Exercises
- 14
- Exam
- 4
- Total
- 206
- Credit
- 7,5 ECTS
- Type of assessment
- On-site written exam, 4 hours under invigilation
- Examination prerequisites
5 mandatory homework assignments, each of which must be approved.
- Aid
- Written aids allowed
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
One internal examiner
- Re-exam
Same as ordinary exam.
If there are 10 or fewer signed up for the reexam, the exam form will be changed to a 30-minute oral exam with no preparation time.
If the compulsary homework assignments have not been passed, the student must (re)submit the non-passed assignments at least three weeks before the start of the re-exam week and pass the assignments.
Criteria for exam assesment
The student should convincingly and accurately demonstrate the knowledge, skills and competences described under intended learning outcome.
Course information
- Language
- English
- Course code
- NMAK14020U
- Credit
- 7,5 ECTS
- Level
- Full Degree Master
- Duration
- 1 block
- Placement
- Block 2
- Schedule
- C
- Course capacity
- No limitation – unless you register in the late-registration period (BSc and MSc) or as a credit or single subject student.
Study board
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Contracting faculty
- Faculty of Science
Course Coordinators
- Harold Adriaan Nieuwboer (hani@math.ku.dk)
- Ashutosh Kumar Goswami (akg@math.ku.dk)