Cayley graphs that have a quantum ergodic eigenbasis
Spectral Theory
2022-07-13 v1 Group Theory
Abstract
We investigate which finite Cayley graphs admit a quantum ergodic eigenbasis, proving that this holds for any Cayley graph on a group of size for which the sum of the dimensions of its irreducible representations is , yet there exist Cayley graphs that do not have any quantum ergodic eigenbasis.
Keywords
Cite
@article{arxiv.2207.05527,
title = {Cayley graphs that have a quantum ergodic eigenbasis},
author = {Assaf Naor and Ashwin Sah and Mehtaab Sawhney and Yufei Zhao},
journal= {arXiv preprint arXiv:2207.05527},
year = {2022}
}
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8 pages