Title: Pretty Good State Transfer and Minimal Polynomials
|Christopher van Bommel
|University of Manitoba
|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.