Pims Visiting Scholar Speaker Series: Chris Godwil
Topic
Continuous Quantum Walks on Graphs
Speakers
Details
If A is the adjacency matrix of a graph X, then the matrix exponential
U(t) = exp(itA) determines what physicists term a continuous quantum walk. They ask questions such as: for which graphs are the vertices a and b and a t such that jU(t)a;bj = 1? The basic problem is to relate the physical properties of the system with properties of the underlying graphs, and to study this we make use of results from the theory of graph spectra, number theory, ergodic theory. . . . My talk will present some of the progress on this topic.
U(t) = exp(itA) determines what physicists term a continuous quantum walk. They ask questions such as: for which graphs are the vertices a and b and a t such that jU(t)a;bj = 1? The basic problem is to relate the physical properties of the system with properties of the underlying graphs, and to study this we make use of results from the theory of graph spectra, number theory, ergodic theory. . . . My talk will present some of the progress on this topic.
Additional Information
Location: UHall B650
Chris Godwil, University of Waterloo
Chris Godwil, University of Waterloo