Title: Non-Local Constraint Satisfaction
Jincheng Zhang
Abstract
This paper explores a novel approach to constraint satisfaction problems (CSPs) utilizing quantum mechanics to enhance exploration and optimization. Traditional CSP solvers often struggle with the vast solution space, limiting efficiency and potentially missing optimal configurations. We propose a framework that leverages quantum superposition to represent multiple possibilities concurrently, dramatically increasing the solver's ability to explore the solution space. This study introduces a novel quantum-inspired constraint satisfaction algorithm, demonstrating significant improvements in solution finding speed and the potential to uncover optimal configurations compared to classical methods. The core mechanism centers around quantum superposition to represent potential solutions, enabling a more efficient search and ultimately, a more robust solution.