论文标题
Quark和Lepton混合的信息完整字符
Informationally complete characters for quark and lepton mixings
论文作者
论文摘要
三代夸克和叶子的混合模式的流行说法是通过有限组$ g $的字符$κ$。在这里，我们介绍了$ d $ d $ d = cc（g）$，$ g $的连同类别的数量。正在考虑的小组应遵循两个规则，（a）字符表包含二维和三维表示，其中至少一个忠实，并且（b）在$ d $ d $维的Pauli group的作用下，在信息上对这些表示形式的角色的作用最少。满足这些规则的小$ d $的组在很大程度上是与迄今为止衍生出的可行的，用于同时再现CKM（QUARK）和PNMS（LEPTON）混合矩阵。导致$ CP $违规的团体被选出。
A popular account of the mixing patterns for the three generations of quarks and leptons is through the characters $κ$ of a finite group $G$. Here we introduce a $d$-dimensional Hilbert space with $d=cc(G)$, the number of conjugacy classes of $G$. Groups under consideration should follow two rules, (a) the character table contains both two- and three-dimensional representations with at least one of them faithful and (b) there are minimal informationally complete measurements under the action of a $d$-dimensional Pauli group over the characters of these representations. Groups with small $d$ that satisfy these rules coincide in a large part with viable ones derived so far for reproducing simultaneously the CKM (quark) and PNMS (lepton) mixing matrices. Groups leading to physical $CP$ violation are singled out.
