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Events tagged with Current undergraduate students

Friday, April 23, 2021 — 3:30 PM EDT

Title: Robust Interior Point Methods for Key Rate Computation in Quantum Key Distribution

Speaker: Hao Hu
Affliliation: University of Waterloo
Zoom: Contact Emma Watson

Abstract:

We study semidefinite programs for computing the key rate in finite dimensional quantum key distribution (QKD) problems. Through facial reduction, we derive a semidefinite program which is robust and stable in the numerical computation. Our program avoids the difficulties for current algorithms from singularities that arise due to loss of positive definiteness. This allows for the derivation of an efficient Gauss-Newton interior point approach. We provide provable lower and upper bounds for the hard nonlinear semidefinite programming problem.

Monday, April 26, 2021 — 11:30 AM EDT

Title: A Spectral Moore Bound for Bipartite Semiregular Graphs

Speaker: Sabrina Lato
Affiliation: University of Waterloo
Zoom: Contact Soffia Arnadottir

Abstract:

The Moore bound provides an upper bound on the number of vertices of a regular graph with a given degree and diameter, though there are disappointingly few graphs that achieve this bound. Thus, it is interesting to ask what additional information can be used to give Moore-type bounds that are tight for a larger number of graphs. Cioaba, Koolen, Nozaki, and Vermette considered regular graphs with a given second-largest eigenvalue, and found an upper bound for such graphs.

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