Covering Graphs and Equiangular Tight Frames
Covering Graphs and Equiangular Tight Frames
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发表时间：
2016-09
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通讯作者：
Fahimeh Rahimi
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作者：
Fahimeh Rahimi
近年来，由于等角紧框架与量子信息理论之间的关系的建立，等角紧框架及其构造引起了人们的极大关注。研究了完全图的等角紧系与覆盖图的关系问题。在这篇论文中，我们将解释完全图的等角紧框架和覆盖图，并给出显示这两个概念之间关系的结果。本文还介绍了射影几何和斯坦纳系统构造等角紧框架的最新结果。
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.