Lie groups in quantum information

UNM Physics and Astronomy, Summer 2019 course (PHYC 500.001 Adv Sem)

LECTURE VIDEOS

SESSION 1 (June 5th)

Groups and symmetry - groups, finite groups, matrix groups, and the classification theorems for simple groups (finite and finite-dimensional matrix.)

SESSION 2 (June 12th)

Lie algebras and analyticity. The exponential map

SESSION 2 cont. (June 26th)

Lie algebras and analyticity. The exponential map

SESSION 3  (June 26th)

Global classification of semisimple Lie groups 

SESSION 4  (July 3rd)

Global classification of semisimple Lie groups 

SESSION 5  (July 10th)

Quantum control and Lie groups 

SESSION 6  (July 17th)

KAK decompositions 

SESSION 7  (July 17th)

Noncompact Lie groups