RT Journal Article T1 Quantum Metropolis Solver: a quantum walks approach to optimization problems A1 Campos, Roberto A1 Moreno Casares, Pablo Antonio A1 Martín-Delgado Alcántara, Miguel Ángel AB The efficient resolution of optimization problems is one of the key issues in today’s industry. This task relies mainly on classical algorithms that present scalability problems and processing limitations. Quantum computing has emerged to challenge these types of problems. In this paper, we focus on the Metropolis-Hastings quantum algorithm, which is based on quantum walks. We use this algorithm to build a quantum software tool called Quantum Metropolis Solver (QMS). We validate QMS with the N-Queen problem to show a potential quantum advantage in an example that can be easily extrapolated to an Artificial Intelligence domain. We carry out different simulations to validate the performance of QMS and its configuration. PB Springer Nature SN 2524-4906 YR 2023 FD 2023 LK https://hdl.handle.net/20.500.14352/100536 UL https://hdl.handle.net/20.500.14352/100536 LA eng NO Campos, R., Casares, P.A.M. & Martin-Delgado, M.A. Quantum Metropolis Solver: a quantum walks approach to optimization problems. Quantum Mach. Intell. 5, 28 (2023). https://doi.org/10.1007/s42484-023-00119-y NO Ministerio de Asuntos Económicos y Transformación Digital (España) NO Comunidad de Madrid. NO European Commission NO U.S. Army Research Office NO Ministerio de Educación, Cultura y Deporte (España) DS Docta Complutense RD 21 dic 2025