Cayley graphs that have a quantum ergodic eigenbasis

Assaf Naor; Ashwin Sah; Mehtaab Sawhney; Yufei Zhao

doi:10.1007/s11856-023-2516-6

Cayley graphs that have a quantum ergodic eigenbasis

Assaf Naor, Ashwin Sah, Mehtaab Sawhney, Yufei Zhao

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English (US)
Pages (from-to)	599-617
Number of pages	19
Journal	Israel Journal of Mathematics
Volume	256
Issue number	2
DOIs	https://doi.org/10.1007/s11856-023-2516-6
State	Published - Sep 2023

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s11856-023-2516-6

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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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AU - Sawhney, Mehtaab

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AB - 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

Abstract

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