LIE GROUPS IN QUANTUM INFORMATION UNM Physics and Astronomy, Summer 2019 course (PHYC 500.001 Adv Sem) Organized by the Center for Quantum Information and Control (CQuIC)

Course coordinators

• Christopher S. Jackson (chrisjackson@unm.edu)

• Pablo M. Poggi (ppoggi@unm.edu)

General course information

This course is a survey of Lie groups and their applications to physics and quantum information. The course is designed to be a ‘self-study’ program. In the first two sessions, the course coordinators will give introductory lectures on Lie groups and Lie algebras. Reading material will be assigned every week, including lecture notes and research articles. In the remaining sessions, course participants will present sections from the reading material and facilitate group discussions. Participants are encouraged to also propose other topics of their interest.

Syllabus and bibliography

Click here to download the syllabus and bibliography for the course

Schedule and course materials

Session	Date	Topic	Presenter	Resources
1	June 5^th	Groups and symmetry	Chris Jackson	[video] [lecture notes] [problem set] [solution]
2	June 12^th	Lie algebras and analyticity	Chris Jackson	[video1] [video2] [lecture notes1] [lecture notes2] [problem set] [solution]
3	June 26^th	Simple and normal Lie groups and algebras	Andrew Zhao	[video] [lecture notes]
4	July 3^rd	Global classification of semisimple Lie groups	Austin Daniel	[video1] [video2] [lecture notes]
5	July 10^th	Lie groups and algebras in quantum control theory	Anupam Mitra	[video] [lecture notes] [bibliography]
6	July 17^th	KAK and Cartan decompositions	Gopi Muraleedharan	[video]
7	July 24^th	Noncompact Lie groups	Tyler Thurtell	[video] [lecture notes]
8	July 30^th	Representation theory I: Irreps of SU(2) and Schur’s Lemma	Karthik Chinni	[video]
9	July 31^st	Representation theory II: sl(3,C), weights and roots	Manuel Muñoz	[video]