In the lecture series we review the basics of Groups and Representation Theory and its use in Quantum Information Science. After a thorough basic introduction, three advanced topics will be covered:
(i) entanglement measures of quantum states with large a symmetry group, (ii) decomposition of quantum circuits using group theory, (iii) constructing universal gate sets through novel Lie algebraic methods.
Zoltán Zimborás is a Quantum Information Scientist working on structural aspects of Quantum Control, Computing, and Entanglement Theory. Dr. Zimborás is currently a group leader and research associate professor at the Wigner Research Centre for Physics (Budapest), he obtained his PhD at the Eötvös University in Budapest, and worked later at ISI Torino, University College London, and Freie Universität Berlin.