dorsal/arxiv
View SchemaQuantum Floyd-Warshall Alorithm
| Authors | A. S. Gupta, A. Pathak |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0502144 |
| URL | https://arxiv.org/abs/quant-ph/0502144 |
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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"date_created": "2026-03-02T18:02:12.850000Z",
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"abstract": "Classical Floyd-Warshall algorithm is used to solve all-pairs shortest path\nproblem on a directed graph. The classical algorithm runs in \\mathcal{O}\n(V^{3}) time where V represents the number of nodes. Here we have modified the\nalgorithm and proposed a quantum algorithm analogous to Floyd-Warshall\nalgorithm which exploits the superposition principle and runs in \\mathcal{O}\n(Vlog_{2}V) time.",
"arxiv_id": "quant-ph/0502144",
"authors": [
"A. S. Gupta",
"A. Pathak"
],
"categories": [
"quant-ph"
],
"title": "Quantum Floyd-Warshall Alorithm",
"url": "https://arxiv.org/abs/quant-ph/0502144"
},
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