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Quantum-Accelerated Optimization for Constraint Satisfaction in High-Dimensional Spaces

Jincheng Zhang

Published Sep 3, 2026• 0 citations
Publisher

Abstract

Quantum-accelerated optimization is a rapidly developing field with the potential to revolutionize complex optimization problems, particularly those encountered in areas like constraint satisfaction and resource allocation. This paper investigates the application of quantum algorithms to constraint satisfaction problems (CSPs) in high-dimensional spaces, focusing on the design of a quantum approach that promises exponential speedups over classical methods. We propose a novel quantum annealing approach, incorporating specific parameters and optimization strategies, to address the inherent challenges of large-scale CSPs. This work presents a theoretical framework, outlines the key steps of the algorithm, and discusses the potential for practical implementation. The goal is to demonstrate the feasibility of quantum acceleration for this challenging optimization task, contributing to advancements in the field of quantum computation and optimization.

DOI
10.5281/zenodo.22274997

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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.
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