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arXiv · 1011.5460

Quantum Walks on Regular Graphs and Eigenvalues

Chris Godsil·Krystal Guo
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Abstract

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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Chris Godsil, Krystal Guo. 2011-07-27. Quantum Walks on Regular Graphs and Eigenvalues. https://arxiv.org/abs/1011.5460

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