论文标题
Cayley图具有量子的egodic eigenbasis
Cayley graphs that have a quantum ergodic eigenbasis
论文作者
论文摘要
我们研究了哪些有限的cayley图承认了一个量子的ergodic eigenbasis,证明这对于一组大小$ n $上的任何cayley图都符合,其不可减至表示的尺寸为$ o(n)$,但存在cayley图,但没有任何量子ergodic eigenbasis。
We investigate which finite Cayley graphs admit a quantum ergodic eigenbasis, proving that this holds for any Cayley graph on a group of size $n$ for which the sum of the dimensions of its irreducible representations is $o(n)$, yet there exist Cayley graphs that do not have any quantum ergodic eigenbasis.