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arXiv · 1803.00735

A Quantum N-Queens Solver

Valentin Torggler·Philipp Aumann·Helmut Ritsch·Wolfgang Lechner
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Abstract

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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Valentin Torggler, Philipp Aumann, Helmut Ritsch, Wolfgang Lechner. 2018-03-02. A Quantum N-Queens Solver. https://doi.org/10.22331/q-2019-06-03-149

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