Fractional revival and generalizations
Speaker:
Mark Kempton, Brigham Young University
Date and Time:
Tuesday, August 24, 2021 - 2:30pm to 3:15pm
Location:
Online
Abstract:
Quantum fractional revival in a graph is a quantum transport phenomenon in which there is a time at which a continuous-time quantum walk beginning at a single vertex maps to a superposition on that vertex and one other. Fractional revival has been studied as a generalization of perfect state transfer in graphs, and has applications in entanglement generation. I will discuss the theoretical framework that has been developed to help understand fractional revival using tools from spectral graph theory. I will also discuss recent work done on generalizing fractional revival to consider larger subsets of vertices. I will also look at an approximation, or “pretty good” fractional revival.