Asymmetric graphs with quantum symmetry
Organizers
Speaker
Josse van Dobben de Bruyn
Time
Wednesday, March 27, 2024 5:00 PM - 6:30 PM
Venue
A3-3-301
Online
Zoom 518 868 7656
(BIMSA)
Abstract
In this talk, I will present a sequence of graphs which have trivial (classical) automorphism group and non-trivial quantum automorphism group, which we believe to be the first known examples of any kind of classical space with this property. The construction is inspired by solution groups of binary linear systems, as defined by Cleve, Liu and Slofstra in 2015 in relation to certain non-local games in quantum information theory.
Reference: This talk is based on joint work with David E. Roberson (Technical University of Denmark) and Simon Schmidt (Ruhr University Bochum, Germany), arXiv:2311.04889.
Reference: This talk is based on joint work with David E. Roberson (Technical University of Denmark) and Simon Schmidt (Ruhr University Bochum, Germany), arXiv:2311.04889.
Speaker Intro
Josse van Dobben de Bruyn is a postdoctoral researcher at the Technical University of Denmark (DTU), working on interactions between graph theory, quantum groups, and quantum information theory. He obtained his PhD in algebraic combinatorics from Delft University of Technology in the Netherlands in 2023, supervised by Prof. dr. Dion Gijswijt.