论文标题
代数单位，反对对称性和一小部分SIC目录
Algebraic units, anti-unitary symmetries, and a small catalogue of SICs
论文作者
论文摘要
在复杂的矢量空间中，equargular线的最大值集（称为SICS）以依赖性的方式与实际二次数字字段有关。如果尺寸是$ n^2+3 $形式的尺寸，则基地的基本场具有负标准的基本单位，并且存在具有反对称对称性的SIC。我们给出了八种精确解决方案的例子，为此，我们努力使它们尽可能地简单 - 作为对较早出版物的裁判的迟来的答复，他们声称我们在维度28中的精确解决方案太复杂了，无法适合打印。简化解决方案的一个有趣特征是，基准向量的组成部分主要由代数单位组成。
In complex vector spaces maximal sets of equiangular lines, known as SICs, are related to real quadratic number fields in a dimension dependent way. If the dimension is of the form $n^2+3$ the base field has a fundamental unit of negative norm, and there exists a SIC with anti-unitary symmetry. We give eight examples of exact solutions of this kind, for which we have endeavoured to make them as simple as we can---as a belated reply to the referee of an earlier publication, who claimed that our exact solution in dimension 28 was too complicated to be fit to print. An interesting feature of the simplified solutions is that the components of the fiducial vectors largely consist of algebraic units.
