LAPSE:2025.0403
Published Article

LAPSE:2025.0403
Solving Complex Combinatorial Optimization Problems Using Quantum Annealing Approaches
June 27, 2025
Abstract
Currently, state-of-the-art approaches to solving complex optimization problems have focused solely on methods requiring high computational time and unable to find the global optimal solution. In this work, a methodology based on quantum computing is presented to overcome these drawbacks. The novelty of this framework stems from the quantum computers architecture and taking into consideration the quantum phenomena that take place to solve optimization problems with specific structure. The proposed methodology includes steps for the transformation of the initial optimization problem into an unconstrainted optimization problem with binary variables and its embedding onto a quantum device. Moreover, different resolution levels for the transformation step and different architectures for the embedding process are utilized. To illustrate the procedure, a case study based on Haverlys pooling and blending problem is examined while demonstrating the potential of the proposed approach. The results indicate that the succinct formulation exhibited higher success rate during the embedding procedure for the different examined architectures, and the quantum annealing solver exhibited the best performance among the various solvers investigated. This highlights the potential of the approach for solving this type of problems with the rapid development and improvement of quantum hardware and expanding it to more complex chemical engineering optimization systems.
Currently, state-of-the-art approaches to solving complex optimization problems have focused solely on methods requiring high computational time and unable to find the global optimal solution. In this work, a methodology based on quantum computing is presented to overcome these drawbacks. The novelty of this framework stems from the quantum computers architecture and taking into consideration the quantum phenomena that take place to solve optimization problems with specific structure. The proposed methodology includes steps for the transformation of the initial optimization problem into an unconstrainted optimization problem with binary variables and its embedding onto a quantum device. Moreover, different resolution levels for the transformation step and different architectures for the embedding process are utilized. To illustrate the procedure, a case study based on Haverlys pooling and blending problem is examined while demonstrating the potential of the proposed approach. The results indicate that the succinct formulation exhibited higher success rate during the embedding procedure for the different examined architectures, and the quantum annealing solver exhibited the best performance among the various solvers investigated. This highlights the potential of the approach for solving this type of problems with the rapid development and improvement of quantum hardware and expanding it to more complex chemical engineering optimization systems.
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Mappas VK, Dorneanu B, Arellano-Garcia H. Solving Complex Combinatorial Optimization Problems Using Quantum Annealing Approaches. Systems and Control Transactions 4:1561-1566 (2025) https://doi.org/10.69997/sct.188358
Author Affiliations
Mappas VK: FG Prozess, und Anlagentechnik, Brandenburgische Technische Universität, Cottbus, Germany
Dorneanu B: FG Prozess, und Anlagentechnik, Brandenburgische Technische Universität, Cottbus, Germany
Arellano-Garcia H: FG Prozess, und Anlagentechnik, Brandenburgische Technische Universität, Cottbus, Germany
Dorneanu B: FG Prozess, und Anlagentechnik, Brandenburgische Technische Universität, Cottbus, Germany
Arellano-Garcia H: FG Prozess, und Anlagentechnik, Brandenburgische Technische Universität, Cottbus, Germany
Journal Name
Systems and Control Transactions
Volume
4
First Page
1561
Last Page
1566
Year
2025
Publication Date
2025-07-01
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Original Submission
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PII: 1561-1566-1584-SCT-4-2025, Publication Type: Journal Article
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LAPSE:2025.0403
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https://doi.org/10.69997/sct.188358
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Jun 27, 2025
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References Cited
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