Quantum Walks on Regular Graphs and Eigenvalues

Details Quantum Walks on Regular Graphs and Eigenvalues Quantum Walks on Regular Graphs and Eigenvalues

2010-11-24

arxiv.org/abs/1011.5460v2

Mathematics

Combinatorics

Scientific paper

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.

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