Title: Quantum-Inspired Constraint Programming for Constraint Satisfaction
Jincheng Zhang
Abstract
Quantum-inspired constraint programming (QICP) presents a novel approach to constraint satisfaction problems by incorporating quantum mechanical principles, specifically superposition and entanglement, to represent and explore constraint spaces. This paper investigates the potential of QICP to overcome limitations in traditional constraint programming techniques, particularly in addressing complex optimization problems characterized by inherent uncertainty. We detail the core mechanisms of QICP, including the representation of constraints using quantum states and the implementation of parallel exploration strategies inspired by quantum algorithms. This work explores the benefits of this paradigm shift across a range of problem types, demonstrating its capacity to yield efficient and robust solutions. The paper concludes with a discussion of future research directions, emphasizing the potential for QICP to revolutionize the field of constraint satisfaction.