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Quantum Simulation Entanglement Theory Quantum Correlations

Quantum Walks on Generalized Quadrangles

arXiv

Authors: Chris Godsil, Krystal Guo, Tor G. J. Myklebust

Year

2015

Paper ID

26276

Status

Preprint

Abstract Read

~2 min

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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^+\(U³\), a matrix based on the amplitudes of walks in the quantum walk, distinguishes strongly regular graphs. We probabilistically compute the spectrum of the line intersection graphs of two non-isomorphic generalized quadrangles of order \(5²,5\) under this matrix and thus provide strongly regular counter-examples to the conjecture.

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We study the transition matrix of a quantum walk on strongly regular graphs.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1511.01962 [2] arXiv https://arxiv.org/abs/1511.01962 [3] Publisher https://arxiv.org/abs/1511.01962

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