Representation theory in quantum computing
This mini-course will consist of three days of lectures. On the first day we will cover the basics of representation theory of finite groups: irreducible representations, their characters, Schur's Lemma, and the non-abelian Fourier transform. On the second day we will cover Schur-Weyl duality. In particular, we will discuss the representation theory of the unitary and symmetric groups, as well as the quantum Schur transform. The third day will cover various applications of representation theory in quantum computing, such as Schur sampling, hidden subgroup problem, spectrum estimation, and tomography.
April 2, 2024, 10:30-14:10 (2 lectures)
University of Latvia, Raiņa bulvāris 19, Auditorium 20 (4th floor)
Introduction to representation theory
April 3, 2024, 12:30-16:10 (2 lectures)
University of Latvia, Raiņa bulvāris 19, Room 345 (3th floor)
Schur-Weyl duality
April 4, 2024, 12:30-14:10
University of Latvia, Raiņa bulvāris 19, Auditorium 20 (4th floor)
Applications in quantum computing
The mini-course will be held within the project “Quantum Technology Initiative”. The project is funded by the European Union Recovery Fund and state budget.
