Quantum groups and nonlocal games
Laura Mančiska (University of Copenhagen, Denmark)
Abstract: In this talk I will explain how quantum groups arise in quantum information theory via a class of graph based nonlocal games. Our point of departure will be an interactive protocol (nonlocal game) where two provers try to convince a verifier that two graphs are isomorphic. Allowing provers to take advantage of shared quantum mechanical resources will then allow us to define quantum isomorphism of graphs as the ability of quantum players to win the corresponding game with certainty. We will see that quantum isomorphism can be naturally reformulated in the language of quantum groups.
quantum algebra
Audience: researchers in the topic
Series comments: This seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.
The zoom link will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.
| Organizers: | Rubén Martos, Frank Taipe*, Makoto Yamashita |
| *contact for this listing |