Constraint-oriented biased quantum search for linear constrained combinatorial optimization problems

• URL: http://arxiv.org/abs/2512.05205v1
• Date: Thu, 04 Dec 2025 19:21:36 GMT
• Title: Constraint-oriented biased quantum search for linear constrained combinatorial optimization problems
• Authors: Sören Wilkening, Timo Ziegler, Maximilian Hess,
• Abstract summary: We extend a previously presented Grover-based framework to tackle general optimization problems with linear constraints.<n>We describe the introduced method as a framework that enables performance improvements through circuit optimization and machine learning techniques.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this paper, we extend a previously presented Grover-based heuristic to tackle general combinatorial optimization problems with linear constraints. We further describe the introduced method as a framework that enables performance improvements through circuit optimization and machine learning techniques. Comparisons with state-of-the-art classical solvers further demonstrate the algorithm's potential to achieve a quantum advantage in terms of speed, given appropriate quantum hardware.

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