NMAK22000U Analysis in Quantum Information Theory
Volume 2024/2025
Education
MSc Programme in Mathematics
MSc Programme in Mathematics with a minor subject
MSc Programme in Quantum Information Science
Content
The purpose of this course is to give the analytic background behind quantum information theory in the framework of operators on Hilbert spaces and functional analysis, including the following topics:
- completely positive maps
- operator systems and spaces
- Choi representation and Kraus operators
- Stinespring's representation theorem
- tensor products
- quantum measurements and related sets of correlations
- entanglement
- Schmidt decompositions
- factorizable channels and applications in quantum information theory
Learning Outcome
After completing the course the student will have:
- Knowledge about the subjects mentioned in the description of the content,
- Skills to solve problems concerning the material covered, and
- the following Competences:
- understand and master the functional analytic approach to quantum information theory,
- be able to work rigorously with the concepts taught in the course,
- use analysis tools to study and solve concrete problems in quantum information theory.
Literature
Lecture notes and/or textbook.
Recommended Academic Qualifications
Advanced Vector Spaces
(AdVec).
Some familiarity with Hilbert spaces and operators on Hilbert spaces, and basic knowledge of functional analysis. The course FunkAn can possibly be followed in parallel.
Academic qualifications equivalent to a BSc degree are recommended.
Some familiarity with Hilbert spaces and operators on Hilbert spaces, and basic knowledge of functional analysis. The course FunkAn can possibly be followed in parallel.
Academic qualifications equivalent to a BSc degree are recommended.
Teaching and learning methods
4 hours of lectures and 3
hours of exercises per week for 8 weeks.
Workload
- Category
- Hours
- Lectures
- 32
- Preparation
- 125
- Theory exercises
- 24
- Exam
- 25
- Total
- 206
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Exam
- Credit
- 7,5 ECTS
- Type of assessment
- Continuous assessment
- Type of assessment details
- 3 written assignments, each of which counts equally towards the final grade
- Aid
- All aids allowed
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
- Re-exam
30-minute oral examination with 30 minutes preparation time
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
- NMAK22000U
- Credit
- 7,5 ECTS
- Level
- Full Degree Master
- Duration
- 1 block
- Placement
- Block 2
- Schedule
- B
- 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
- Magdalena Elena Musat (musat@math.ku.dk)
- Mikael Rørdam (rordam@math.ku.dk)
Saved on the
14-02-2024