Description

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

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.

Recommended 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.