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Quantum Query Algorithms for the Constructive Diagonal Ramsey Theorem

Xin, Cheng
arXiv (All) · Papers
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data-structures-and-algorithmsquantum-physics
The constructive diagonal Ramsey problem asks, given adjacency-oracle access to an $N$-vertex graph, for a clique or independent set of the order guaranteed by Ramsey's theorem. We give a bounded-error quantum algorithm that, for every $K\ge2$ and $N\ge4^{K-1}$, finds and verifies a homogeneous $K$-
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