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Quantum-Enhanced Constraint Satisfaction Problem (CSP) Solving

Jincheng Zhang

Published Sep 7, 2026• 0 citations
Publisher

Abstract

Quantum-enhanced constraint satisfaction problem (CSP) solving represents a significant advancement in computational power, potentially enabling the efficient solution of complex optimization problems. This paper investigates the application of quantum annealing and quantum approximate optimization algorithms (QAOA) to tackle CSPs, aiming to demonstrate a substantial speedup compared to classical methods. We explore the core mechanism of leveraging superposition and entanglement to navigate the solution space and identify optimal solutions. The research focuses on a novel quantum algorithm designed to accelerate CSP solving, with the goal of providing a practical and efficient solution to this computationally intensive field. This work will detail the theoretical framework, implementation details, and preliminary results demonstrating the potential of quantum computing for CSP problems.

DOI
10.5281/zenodo.22614692

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Constraint satisfaction problems (CSPs) represent a fundamental class of NP-complete problems that pose significant challenges for classical computation, particularly as problem instances grow in size. This work investigates the application of quantum computing techniques – specifically quantum annealing and quantum walks – to accelerate the solution process for CSPs. The core idea involves mapping the CSP to an equivalent quantum Ising model. This model is then targeted for solution via quantum annealing, exploiting quantum tunneling to escape local minima and explore the solution space. Furthermore, quantum walk algorithms are explored for efficient solution space traversal. The potential for achieving speedups over traditional CSP solvers is examined, highlighting the promise of quantum computing for tackling computationally intensive combinatorial optimization problems. The research focuses on the theoretical design and analysis of these quantum algorithms, without requiring experimental validation. The primary outcome is a framework for designing quantum algorithms tailored to specific CSP instances, providing a foundation for future research and potential implementation.
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