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...
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2019-06-01
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Online Access: | https://quantum-journal.org/papers/q-2019-06-03-149/pdf/ |
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doaj-5e70d84e9fdd4b99aea83c0f371ac8fb2020-11-24T21:48:20ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2019-06-01314910.22331/q-2019-06-03-14910.22331/q-2019-06-03-149A Quantum N-Queens SolverValentin TorgglerPhilipp AumannHelmut RitschWolfgang LechnerThe $N$-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.https://quantum-journal.org/papers/q-2019-06-03-149/pdf/ |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Valentin Torggler Philipp Aumann Helmut Ritsch Wolfgang Lechner |
spellingShingle |
Valentin Torggler Philipp Aumann Helmut Ritsch Wolfgang Lechner A Quantum N-Queens Solver Quantum |
author_facet |
Valentin Torggler Philipp Aumann Helmut Ritsch Wolfgang Lechner |
author_sort |
Valentin Torggler |
title |
A Quantum N-Queens Solver |
title_short |
A Quantum N-Queens Solver |
title_full |
A Quantum N-Queens Solver |
title_fullStr |
A Quantum N-Queens Solver |
title_full_unstemmed |
A Quantum N-Queens Solver |
title_sort |
quantum n-queens solver |
publisher |
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
series |
Quantum |
issn |
2521-327X |
publishDate |
2019-06-01 |
description |
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. |
url |
https://quantum-journal.org/papers/q-2019-06-03-149/pdf/ |
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