Chris Godsil, Krystal Guo
Published 2010-11-24, updated 2011-07-27Version 2
We study the transition matrix of a quantum walk on strongly regular graphs. It is proposed by Emms, Hancock, Severini and Wilson in 2006, that the spectrum of $S^+(U^3)$, a matrix based on the amplitudes of walks in the quantum walk, distinguishes strongly regular graphs. We find the eigenvalues of $S^+(U)$ and $S^+(U^2)$ for regular graphs.
Quantum Walks on Generalized Quadrangles
The Eigenvalues of the Graphs $D(4,q)$
On the distribution of eigenvalues in families of Cayley graphs
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