ON-LINE QLunch: David Roberson

Speaker: David Roberson, DTU Compute

Title: Quantum vs Nonlocal Symmetry

Abstract: We will introduce the notion of nonlocal symmetry of a graph G, defined as a winning quantum correlation for the G-automorphism game that cannot be produced classically. Recent connections between quantum group theory and quantum information show that quantum correlations for this game correspond to tracial states on C(Qut(G)) -- the algebra of functions on the quantum automorphism group of G. This allows us to also define nonlocal symmetry for any quantum permutation group. We will look at the differences and similarities between this and the notion of quantum symmetry, defined as non-commutativity of C(Qut(G)). Roughly speaking, quantum symmetry vs nonlocal symmetry can be viewed respectively as non-classicality of our model of reality vs non-classicality of our observation of reality.

Join Zoom meeting:

https://ucph-ku.zoom.us/j/67994213221