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Quantum Floyd-Warshall Alorithm

A. S. Gupta·A. Pathak
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Abstract

Classical Floyd-Warshall algorithm is used to solve all-pairs shortest path problem on a directed graph. The classical algorithm runs in \mathcal{O} (V^{3}) time where V represents the number of nodes. Here we have modified the algorithm and proposed a quantum algorithm analogous to Floyd-Warshall algorithm which exploits the superposition principle and runs in \mathcal{O} (Vlog_{2}V) time.

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A. S. Gupta, A. Pathak. 2005-02-23. Quantum Floyd-Warshall Alorithm. https://arxiv.org/abs/quant-ph/0502144

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