RT Journal Article T1 Combinatorial Optimization with Quantum Computers. A1 Chicano-García, José-Francisco A1 Luque-Polo, Gabriel Jesús A1 Dahi, Zakaria Abdelmoiz A1 Gil-Merino, Rodrigo K1 Computación cuántica K1 Proceso de datos AB Quantum computers leverage the principles of quantum mechanics to do computation with a potential advantage over classical computers. While a single classical computer transforms one particular binary input into an output after applying one operator to the input, a quantum computer can apply the operator to a superposition of binary strings to provide a superposition of binary outputs, doing computation apparently in parallel. This feature allows quantum computers to speed up the computation compared to classical algorithms. Unsurprisingly, quantum algorithms have been proposed to solve optimization problems in quantum computers. Furthermore, a family of quantum machines called quantum annealers are specially designed to solve optimization problems. In this paper, we provide an introduction to quantum optimization from a practical point of view. We introduce the reader to the use of quantum annealers and quantum gate-based machines to solve optimization problems. PB Taylor & Francis YR 2025 FD 2025-01 LK https://hdl.handle.net/10630/38123 UL https://hdl.handle.net/10630/38123 LA eng NO This tutorial is a preprint submitted to Engineering Optimization in July 2024. The accepted version can be found at https://doi.org/10.1080/0305215X.2024.2435538 NO https://openpolicyfinder.jisc.ac.uk/id/publication/5213 NO This research is partially funded by project PID 2020-116727RB-I00 (HUmove) funded by MCIN/AEI/ 10.13039/501100011033; TAILOR ICT-48 Network (No 952215) funded by EU Horizon 2020 research and innovation programme; Junta de Andalucia, Spain, under contract QUAL21 010UMA; and the University of Malaga (PAR 4/2023). DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 19 ene 2026