Quantum-Inspired Search Algorithms for Large-Scale Optimization
Jincheng Zhang
Abstract
Large-scale optimization problems, prevalent in diverse fields such as machine learning, logistics, and engineering design, pose significant challenges to classical optimization algorithms. These algorithms often suffer from slow convergence rates, premature convergence, and difficulty in exploring complex solution spaces. This paper explores the application of quantum-inspired search algorithms to address these limitations. We introduce a novel approach that draws inspiration from quantum measurement theory, specifically superposition and interference, to enhance the exploration capabilities of classical optimization techniques. The core idea is to mimic the probabilistic nature of quantum measurements to navigate the solution space more effectively. This approach allows for a more efficient exploration of potential solutions, leading to improved convergence rates and the ability to tackle larger and more complex problems. The algorithms presented are designed to be implementable within standard computational environments without requiring specialized quantum hardware. The performance of these algorithms is evaluated through simulations, demonstrating their potential to outperform traditional optimization methods in specific scenarios.