Clarkson University
Fall 2023 David A. Walsh ’67
Arts & Sciences Seminar Series
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Friday, October 13, 2023
SN 177
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Continuous quantum walks on graphs
Abstract:
Let A be the adjacency matrix of a graph X. The transition operator at time t for the continuous quantum walk on X is defined as U(t) = exp(itA). Depending on whether a time t exists, such that some entries of U(t) have special values, several quantum state transfer phenomena can be defined. In this talk, I will discuss some of these special transfers, how different weightings of the graph influence these transfer properties, and explore interesting algebraic and spectral graph theory problems that arise from quantum walks.
Speaker Bio:
Xiaohong Zhang is a postdoctoral fellow with Luc Vinet at the University of Montreal. Before that, she held a postdoctoral position with Chris Godsil at the University of Waterloo. Zhang earned her Ph.D. from the University of Manitoba under the supervision of Steve Kirkland and Sarah Plosker. Her research interests include matrix analysis, algebraic combinatorics, and algebraic and spectral graph theory, with applications to quantum information transfer. Her current focus is on association schemes, continuous-time quantum walks, orthogonal polynomials, and algebra.
