Atlantic Graph Theory Seminar

Title: How do we use graphs to transmit quantum information?

Time: 3.30pm, Atlantic time, (1:30, CDT) Wednesday Sept. 18

Speaker: Hermie Monterde, University of Manitoba

Abstract:

In this talk, a graph $G$ represents a quantum spin network (a networking of interacting subatomic particles). The vertices and edges of $G$ represent the particles and their interactions in the network. Consider the complex unitary matrix $U(t)=\exp(itA)$, where $A$ is the adjacency matrix of $G$, $i^2=-1$ and $t$ is a real number. The propagation of quantum states in the quantum system determined by $G$ is governed by the matrix $U(t)$. In particular, $|U(t)_{u,v}|^2$ may be interpreted as the probability that the quantum state assigned at vertex $u$ is transmitted to vertex $v$ at time $t$. In this talk, we give an overview of the study of quantum state transfer in graphs. We discuss old and new results in this area with emphasis on the concepts and techniques borrowed from graph theory and linear algebra.

Zoom link:

https://us02web.zoom.us/j/86861499971?pwd=rTDAaju0TCu24asnaBGvkuNlT11KZ1.1