N-Queens Problem Resolution Using the Quantum Computing Model

Abstract

This paper aims to propose solution for a classical and difficult decision problem using quantum computing. At first, it provides experimental samples taking well-known search problems, where it is possible to establish a plausible comparison between classical search algorithms and a similar quantum algorithm. Moreover, a quantum algorithm is construct in order to deliver solution for a sophisticated mathematical problem called N-Queens. The algorithm was implemented in a quantum computing simulator obtaining solutions for problems with up to 128 queens at a reasonable cost.