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Title: Quantum-Inspired Constraint Programming for Constraint Satisfaction

Jincheng Zhang

Published Aug 29, 2026• 0 citations
Publisher

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.

DOI
10.5281/zenodo.22157486

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Quantum-Inspired Constraint Programming (QICP) is a novel programming paradigm centered on the integration of quantum-inspired algorithms for constraint solving. This paper explores the potential of leveraging these algorithms to accelerate constraint satisfaction problems and enhance solution quality, offering a significant improvement over traditional methods. We detail the design of a new set of constraint propagation and search algorithms, highlighting their inherent efficiency and potential impact on solving complex problems. The core claim of this work is that QICP will provide substantial speedups and improved solution quality compared to existing approaches, particularly for large, intricate constraint satisfaction problems. This research will cover the fundamental concepts, algorithm design, and preliminary results demonstrating the effectiveness of QICP in solving specific problem instances. The paper concludes with a discussion of future research directions and potential applications of this paradigm.
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