A Quantum N-Queens Solver
Valentin Torggler, Philipp Aumann, Helmut Ritsch, Wolfgang Lechner · Quantum · 2019
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.