Analysis in Quantum Information Theory
Course 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 and completely bounded 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
MSc Programme in Mathematics
MSc Programme in Mathematics with a minor subject
MSc Programme in Quantum Information Science
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.
4 hours of lectures and 3 hours of exercises per week for 8 weeks.
Lecture notes and/or textbook.
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.
- ECTS
- 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
-
Oral, 30 minutes with 30 minutes preparation time.
Criteria for exam assessment
The student should convincingly and accurately demonstrate the knowledge, skills and competences described under Intended learning outcome.
Single subject courses (day)
- Category
- Hours
- Lectures
- 32
- Preparation
- 125
- Theory exercises
- 24
- Exam
- 25
- English
- 206
Kursusinformation
- Language
- English
- Course number
- NMAK22000U
- ECTS
- 7,5 ECTS
- Programme level
- Full Degree Master
- Duration
-
1 block
- Placement
- Block 2
- Schedulegroup
-
B
- Capacity
- The number of seats may be reduced in the late registration period
- Studyboard
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Contracting faculty
- Faculty of Science
Course Coordinators
- Magdalena Elena Musat (5-7179776578447165786c326f7932686f)
- Mikael Rørdam (6-777477696672457266796d33707a336970)
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