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arXiv · 1204.2483

Hypergraph Ramsey Numbers and Adiabatic Quantum Algorithm

Ri Qu·Yan-ru Bao
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Abstract

Gaitan and Clark [Phys. Rev. Lett. 108, 010501 (2012)] have recently presented a quantum algorithm for the computation of the Ramsey numbers R(m, n) using adiabatic quantum evolution. We consider that the two-color Ramsey numbers R(m, n; r) for r-uniform hypergraphs can be computed by using the similar ways in [Phys. Rev. Lett. 108, 010501 (2012)]. In this comment, we show how the computation of R(m, n; r) can be mapped to a combinatorial optimization problem whose solution be found using adiabatic quantum evolution.

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Ri Qu, Yan-ru Bao. 2012-07-18. Hypergraph Ramsey Numbers and Adiabatic Quantum Algorithm. https://doi.org/10.1142/s0219749912500670

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