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Title: K-fractional revival and approximate K-fractional revival on path graphs

Speaker: Whitney Drazen Affiliation: Northeastern University Zoom: Contact Soffia Arnadottir

Abstract:

A continuous-time quantum walk is a process on a network of quantum particles that is governed by the transition matrix U(t) = e^{-itA}, where is A is the adjacency matrix of the graph. The two-vertex phenomenon fractional revival occurs between vertices u and v at time t if the columns of U(t) corresponding to u and v are only supported on the rows indexed by those same two vertices. The well-studied perfect state transfer is a special case of this.