Quantum-Enhanced Constraint Satisfaction with Graph Theory
Jincheng Zhang
Abstract
Abstract: This paper explores the potential of quantum computation to revolutionize the field of constraint satisfaction problems (CSPs). We propose a novel quantum algorithm designed to accelerate the search for solutions in CSPs by integrating graph theory and quantum superposition. The core mechanism relies on representing the CSP graph as a quantum state and employing superposition to efficiently explore multiple solution paths concurrently. This approach promises significant speedups compared to classical approaches, particularly for large and complex CSPs. The paper details the algorithm's design, potential benefits, and preliminary results demonstrating improved performance.