Covering Graphs and Equiangular Tight Frames

Abstract

Recently, there has been huge attention paid to equiangular tight frames and their constructions, due to the fact that the relationship between these frames and quantum information theory was established. One of the problems which has been studied is the relationship between equiangular tight frames and covering graphs of complete graphs. In this thesis, we will explain equiangular tight frames and covering graphs of complete graphs and present the results that show the relationship between these two concepts. The latest results about the constructions of equiangular tight frames from projective geometries and Steiner systems also has been presented.