Title: Quantum Complexity Theory for Constraint Programming

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum Complexity Theory (QCT) offers a promising avenue for enhancing constraint programming by leveraging the unique capabilities of quantum computation. This paper explores the potential of QCT to provide a more robust and nuanced understanding of problem complexity, specifically focusing on the identification of crucial quantum algorithms and their corresponding impact on constraint programming. We propose a novel approach centered around a fundamental relationship between problem complexity and quantum computational resources, aiming to move beyond traditional complexity measures and demonstrate a deeper connection between the problem and the underlying quantum hardware. This work presents a framework for analyzing constraint programming problems using quantum algorithms, ultimately leading to a significant improvement in understanding the limitations and potential of constraint programming. The core mechanism involves a systematic investigation of quantum algorithms applicable to complex constraint programming scenarios, aiming to identify key factors driving complexity.

DOI: 10.5281/zenodo.22200062

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