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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2510.03647 |
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| _version_ | 1866918343459471360 |
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| author | Yoshihara, Takuma Ohzeki, Masayuki |
| author_facet | Yoshihara, Takuma Ohzeki, Masayuki |
| contents | We propose a quantum-classical hybrid method for solving large-scale mixed-integer quadratic problems (MIQP). Although extended Benders decomposition is effective for MIQP, its master problem which handles the integer and quadratic variables often becomes a computational bottleneck. To address this challenge, we integrate the D-Wave CQM solver into the decomposition framework to solve the master problem directly. Our results show that this hybrid approach efficiently yields near-optimal solutions and, for certain problem instances, achieves exponential speedups over the leading commercial classical solver. These findings highlight a promising computational strategy for tackling complex mixed-integer optimization problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_03647 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Accelerating Extended Benders Decomposition with Quantum-Classical Hybrid Solver Yoshihara, Takuma Ohzeki, Masayuki Quantum Physics We propose a quantum-classical hybrid method for solving large-scale mixed-integer quadratic problems (MIQP). Although extended Benders decomposition is effective for MIQP, its master problem which handles the integer and quadratic variables often becomes a computational bottleneck. To address this challenge, we integrate the D-Wave CQM solver into the decomposition framework to solve the master problem directly. Our results show that this hybrid approach efficiently yields near-optimal solutions and, for certain problem instances, achieves exponential speedups over the leading commercial classical solver. These findings highlight a promising computational strategy for tackling complex mixed-integer optimization problems. |
| title | Accelerating Extended Benders Decomposition with Quantum-Classical Hybrid Solver |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2510.03647 |