# Tutte seminar - Chris Godsil

Friday, September 26, 2008 — 3:30 PM to 4:30 PM EDT

## Perfect state transfer on graphs

Speaker: Chris Godsil University of Waterloo Mathematics & Computer Building (MC) 5158

### Abstract:

A continuous quantum walk on a graph is a quantum analog of a continuous random walk on a graph. If the adjacency matrix of the graph is $A$, then the behaviour of the walk is governed by the unitary matrix $H(t) := \exp(iAt)$. If $u$ and $v$ are vertices, then perfect state transfer from $u$ to $v$ occurs at time $\tau$ if $|H(\tau)_{u,v}| = 1$. The basic problem is to determine the cases where perfect state transfer can occur. In this talk I will present the background to this problem and the information we have obtained recently.

Location
MC - Mathematics & Computer Building
5158
200 University Avenue West

Waterloo, ON N2L 3G1

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