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Cayley graphs that have a quantum ergodic eigenbasis
- Publication Year :
- 2022
-
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.<br />Comment: 8 pages
- Subjects :
- Mathematics - Spectral Theory
Mathematics - Group Theory
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2207.05527
- Document Type :
- Working Paper