论文标题
最大等缘线
Maximal Sets of Equiangular Lines
论文作者
论文摘要
我介绍了在其真实版和复杂版本中找到最大的等法线的问题，试图写我第一次遇到该主题时想要的治疗方法。量子线在量子信息理论的重叠区域中相交的等态线相交，八月和希尔伯特的第十二个问题。关于有多少等距离线可以适合给定维度的空间的问题很容易摆姿势 - 高中生可以掌握它 - 但是很难回答，尚未解决。这种轻松和难度的对比使问题成为经典的魅力。
I introduce the problem of finding maximal sets of equiangular lines, in both its real and complex versions, attempting to write the treatment that I would have wanted when I first encountered the subject. Equiangular lines intersect in the overlap region of quantum information theory, the octonions and Hilbert's twelfth problem. The question of how many equiangular lines can fit into a space of a given dimension is easy to pose -- a high-school student can grasp it -- yet it is hard to answer, being as yet unresolved. This contrast of ease and difficulty gives the problem a classic charm.
