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Quantum-Driven Constraint Relaxation for Complex Systems

Jincheng Zhang

Published Aug 31, 2026• 0 citations
Publisher

Abstract

This paper explores a novel technique for addressing complex constraint satisfaction problems, leveraging the power of quantum-driven constraint relaxation. The core of this approach is a dynamic learning algorithm that iteratively adjusts relaxation parameters based on observed solutions, aiming to efficiently overcome challenging constraints and improve solution quality. We introduce a framework for dynamically adapting these parameters, enabling a continuous optimization process crucial for problems with intricate relationships and high-dimensional constraints. The concept of quantum-driven relaxation provides a potential pathway for enhanced efficiency and robustness compared to traditional methods. This work presents a theoretical foundation and preliminary implementation demonstrating the efficacy of this approach.

DOI
10.5281/zenodo.22186946

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Quantum-driven constraint satisfaction is an emerging field that leverages quantum mechanics to solve complex optimization problems, particularly those involving constraint satisfaction. This paper presents a novel approach to this problem, employing a quantum annealing algorithm coupled with an adaptive relaxation scheme. We demonstrate that by dynamically adjusting the relaxation criteria during the quantum annealing process, the algorithm significantly improves solution quality compared to traditional methods. The core mechanism centers around a quantum-enhanced exploration of the solution space, guided by a feedback loop that adapts to the system's state. This adaptive relaxation strategy promises to address key limitations of existing constraint satisfaction techniques, offering the potential for enhanced performance and robustness.
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