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arXiv · 2207.05527

Cayley graphs that have a quantum ergodic eigenbasis

Assaf Naor·Ashwin Sah·Mehtaab Sawhney·Yufei Zhao
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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 $n$ 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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Assaf Naor, Ashwin Sah, Mehtaab Sawhney, Yufei Zhao. 2022-07-12. Cayley graphs that have a quantum ergodic eigenbasis. https://arxiv.org/abs/2207.05527

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