Programma:
2. aprīlī plkst. 10.30-14.10 (2 lekcijas)
Raiņa bulvārī 19, 20. auditorijā (4. stāvs)
Introduction to representation theory
3. aprīlī plkst. 12.30-16.10 (2 lekcijas)
Raiņa bulvārī 19, 345.datorklasē (3. stāvs)
Schur-Weyl duality
4. aprīlī plkst. 12.30-14.10
Raiņa bulvārī 19, 20. auditorijā (4. stāvs)
Applications in quantum computing
Apraksts (angļu valodā)
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.
Lekciju minikuss norisinās projekta “Kvantu tehnoloģiju iniciatīva” (Nr. 2.3.1.1.i.0/1/22/I/CFLA/001) ietvaros. Projektu finansē Eiropas Savienības Atveseļošanas fonds un valsts budžets.
