Cayley graphs that have a quantum ergodic eigenbasis

preprint2022arXivOpen access

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.

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Cayley graphs that have a quantum ergodic eigenbasis

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