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Monday, June 28, 2021

Monday, June 28, 2021 — 11:30 to 11:30 AM EDT

Title: State transfer for paths with weighted loops at the end vertices

Speaker: Steve Kirkland Affiliation: University of Manitoba Zoom: Contact Soffia Arnadottir

Abstract:

We consider a continuous time quantum walk on an unweighted path on n vertices, to which a loop of weight w has been added at each end vertex. Let f(t) denote the fidelity of state transfer from one end vertex to the other at time t. In this talk we give upper and lower bounds on f(t) in terms of w, n and t; further, given a > 0 we discuss the values of t for which f(t) > 1-a.

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