Payame Noor University (PNU) Control and Optimization in Applied Mathematics 2383-3130 11 1 2026 01 01 Designing a New Continuous Quantum Evolutionary Algorithm for Nonlinear Optimization and Efficiency Frontier Evaluation 1 29 12370 10.30473/coam.2025.74960.1316 EN Tahereh Azizpour Department of Mathematics and Computer Science‎, ‎Lorestan‎ ‎University‎, ‎Lorestan‎, ‎68151-44316‎, ‎Iran. Majid Yarahmadi Department of Mathematics and Computer Science‎, ‎Lorestan‎ ‎University‎, ‎Lorestan‎, ‎68151-44316‎, ‎Iran. 0000-0003-1286-7464 Journal Article 2025 06 25 In this paper, we introduce a new continuous quantum evolutionary optimization algorithm designed for optimizing nonlinear convex functions, non-convex functions, and efficiency evaluation problems using quantum computing principles. ‎ Traditional quantum evolutionary algorithms have primarily been implemented for discrete and binary decision variables‎. ‎The proposed method has been designed as a novel continuous quantum evolutionary optimization algorithm tailored to problems with continuous decision variables‎. ‎ To assess the algorithm’s performance, several numerical experiments are conducted‎, ‎and the simulated results are compared with the Grey Wolf Optimizer and Magnet Fish Optimization search algorithm‎. ‎The simulation results indicate that the proposed algorithm can approximate the optimal solution more accurately than the two compared algorithms. https://mathco.journals.pnu.ac.ir/article_12370_13460a7ab20e2de26b7215e4cd80d39e.pdf