Quantum-Accelerated Constraint Propagation for Large-Scale Constraint Satisfaction
Jincheng Zhang
Abstract
This paper investigates the potential of quantum computing to revolutionize constraint satisfaction problems (CSPs), specifically focusing on the development of a quantum-accelerated constraint propagation algorithm. We address the significant computational bottleneck associated with CSPs, particularly at scale, and propose a novel approach that utilizes quantum algorithms to represent and manipulate constraint sets with a drastically reduced computational cost. The core mechanism involves leveraging quantum superposition and entanglement to efficiently explore the vast solution space, leading to significant speedups compared to classical methods. We present a theoretical framework and preliminary implementation demonstrating the efficacy of this approach in tackling large-scale CSPs. The paper concludes with a discussion of the challenges and future research directions in this rapidly evolving field.