Unitary Cayley graphs admit pretty good fractional revival and fractional revival exactly when the vertex count is 2 or twice a prime; quadratic unitary Cayley graphs admit pretty good fractional revival exactly for counts 2, 8, or twice a prime.
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State Transfer on Unitary Cayley Graphs and Quadratic Unitary Cayley Graphs
Unitary Cayley graphs admit pretty good fractional revival and fractional revival exactly when the vertex count is 2 or twice a prime; quadratic unitary Cayley graphs admit pretty good fractional revival exactly for counts 2, 8, or twice a prime.