AUGUST 2019
TEACHER
Prof. Claudio Carmeli (University of Genova)
Prof. Claudio Carmeli (University of Genova)
DESCRIPTION
The common thread of the lectures is a collection of impossible machines that have stimulated the research in quantum information. Using group representation theory, we review some approximate realizations of such machines. For instance, the no-cloning theorem prohibits the existence of a universal cloning machine, and the question is then what kind of approximate cloning machines are possible. The necessary group theoretical background with an introduction to the representation theory of finite groups and SU(2) will be provided.
The common thread of the lectures is a collection of impossible machines that have stimulated the research in quantum information. Using group representation theory, we review some approximate realizations of such machines. For instance, the no-cloning theorem prohibits the existence of a universal cloning machine, and the question is then what kind of approximate cloning machines are possible. The necessary group theoretical background with an introduction to the representation theory of finite groups and SU(2) will be provided.
LECTURES
- Tue 20.8. - notations and impossible machines
- Wed 21.8. - finite groups
- Thu 22.8. - finite groups
- Tue 27.8. - SU(2)
- Wed 28.8. - approximate versions of impossible machines
- Thu 29.8. - approximate versions of impossible machines
LOCATION: seminar room 314, Quantum 3rd floor
TIME: 10:15 - 12:00
TIME: 10:15 - 12:00
ADDITIONAL INFORMATION
- No registration is needed. Just come to the first lecture.
- Recommended prequisites: basic knowledge of linear algebra, group theory (e.g. Algebran peruskurssi 1) and quantum mechanics (e.g. Quantum Mechanics 1)
- Contact person: Teiko Heinosaari (firstname.lastname@utu.fi)
LECTURE NOTES
WANT TO GET 1 STUDY POINT?
- If you attended the course and want to get 1 study point, you need to send one page (or more) writing to Prof. Claudio Carmeli (first name.surname@gmail.com) before 15 September 2019. You should give a brief summary of what were the main points in the course.