Tuesday, April 9, 2019 11:45am to 12:45pm
About this Event
Free EventSpeaker: Gabor Lippner (Math, NU)
Abstract: Lossless transmission of quantum information through a network of particles is an important task in quantum computing. Mathematically this amounts to studying solutions of the discrete Schrödinger equation d/dt phi = i H phi, where H is typically the adjacency or Laplace matrix of the graph. This in turn leads to questions about subtle number-theoretic behavior of the eigenvalues of H.
It has proven to be difficult to find graphs which support such information transfer. I will talk about recent progress in understanding what happens when one is allowed to apply magnetic fields (that is, adding a diagonal matrix to H) to the system of particles.
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