Linear Analysis Seminar

Date: April 12, 2019

Time: 4:00PM - 5:00PM

Location: BLOC 220

Speaker: Kari Eifler, TAMU

Title: The graph isomorphism game for quantum graphs

Abstract: Non-local games give us a way of observing quantum behaviour through the observation of only classical data, and there are several different mathematical models to consider. The graph isomorphism game is one such game and we say two graphs are quantum isomorphic if there is a winning quantum strategy for the graph isomorphism game. We show that if a pair of (quantum) graphs X and Y are algebraically quantum isomorphic then the quantum automorphism groups G_X and G_Y are monodially equivalent. We also show a converse: if a compact quantum group G is monodially equivalent to G_X, then G is isomorphic to G_Y for a quantum graph Y. **NOTE**: This talk will be immediately preceded the Algebra and Combinatorics Seminar, where Michael Brannan (TAMU) will introduce non-local games and related algebraic structures. The subject material of both talks will be complementary. Attendance in both talks is therefore highly encouraged, although both talks will be self-contained.