A Quantum N-Queens Solver
The $N$-queens problem is to find the position of $N$ queens on an $N$ by $N$ chess board such that no queens attack each other. The excluded diagonals $N$-queens problem is a variation where queens cannot be placed on some predefined fields along diagonals. This variation is proven NP-complete and...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2019-06-01
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Series: | Quantum |
Online Access: | https://quantum-journal.org/papers/q-2019-06-03-149/pdf/ |
Summary: | The $N$-queens problem is to find the position of $N$ queens on an $N$ by $N$ chess board such that no queens attack each other. The excluded diagonals $N$-queens problem is a variation where queens cannot be placed on some predefined fields along diagonals. This variation is proven NP-complete and the parameter regime to generate hard instances that are intractable with current classical algorithms is known. We propose a special purpose quantum simulator that implements the excluded diagonals $N$-queens completion problem using atoms in an optical lattice and cavity-mediated long-range interactions. Our implementation has no overhead from the embedding allowing to directly probe for a possible quantum advantage in near term devices for optimization problems. |
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ISSN: | 2521-327X |