Asymmetric graphs with quantum symmetry | BIMSA-Tsinghua Quantum Symmetry Seminar

Abstract

In this talk, l will present a seguence of graphs which have trivial (classical) automorphism groupand non-trivial quantum automorphism group, which we believe to be the first known examples ofany kind of classical space with this property. The construction is inspired by solution groups ofbinary linear systems, as defined by Cleve, Liu and Slofstra in 2015 in relation to certain non-localgames in quantum information theory.

Reference: This talk is based on joint work with David E. Roberson (Technical University ofDenmark) 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 informationtheory. He obtained his PhD in algebraic combinatorics from Delft University of Technology in theNetherlands in 2023, supervised by Prof. dr. Dion Gijswijt.