Cayley graphs that have a quantum ergodic eigenbasis
Assaf Naor, Ashwin Sah, Mehtaab S. Sawhney, Yufei Zhao · arXiv (Cornell University) · 2022
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.