Algebraic Graph Theory Seminar - Christopher van Bommel

Monday, October 19, 2020 11:30 am - 11:30 am EDT (GMT -04:00)

Title: Pretty Good State Transfer and Minimal Polynomials

Speaker: Christopher van Bommel
Affiliation: University of Manitoba
Zoom: Contact Soffia Arnadottir


We examine conditions for a pair of strongly cospectral vertices to have pretty good quantum state transfer in terms of minimal polynomials, and provide cases where pretty good state transfer can be ruled out. We also provide new examples of simple, unweighted graphs exhibiting pretty good state transfer. Finally, we consider modifying paths by adding symmetric weighted edges, and apply these results to this case.