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Main Authors: Li, Dan, Wu, Xiang-Hui, Liu, Ji-Rong
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2603.04089
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author Li, Dan
Wu, Xiang-Hui
Liu, Ji-Rong
author_facet Li, Dan
Wu, Xiang-Hui
Liu, Ji-Rong
contents The Steiner Tree Problem (STP) is a well-known NP-hard combinatorial optimization problem, which has wide applications in network design, integrated circuit layout, bioinformatics, and other fields. However, traditional algorithms often struggle to balance efficiency and solution quality when dealing with large-scale STP instances. In this paper, we propose a new quantum annealing-based algorithm for solving the STP: we first model the STP into a quadratic unconstrained binary optimization (QUBO) form suitable for quantum annealing, then design a corresponding encoding strategy, and finally verify the algorithm through experimental tests. The results show that our quantum annealing-based method can obtain high-quality solutions with relatively low computational overhead for moderate-scale STP instances, providing a new feasible path for handling this intractable combinatorial optimization problem.
format Preprint
id arxiv_https___arxiv_org_abs_2603_04089
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The Steiner Tree Problem: Novel QUBO Formulation and Quantum Annealing Implementation
Li, Dan
Wu, Xiang-Hui
Liu, Ji-Rong
Quantum Physics
The Steiner Tree Problem (STP) is a well-known NP-hard combinatorial optimization problem, which has wide applications in network design, integrated circuit layout, bioinformatics, and other fields. However, traditional algorithms often struggle to balance efficiency and solution quality when dealing with large-scale STP instances. In this paper, we propose a new quantum annealing-based algorithm for solving the STP: we first model the STP into a quadratic unconstrained binary optimization (QUBO) form suitable for quantum annealing, then design a corresponding encoding strategy, and finally verify the algorithm through experimental tests. The results show that our quantum annealing-based method can obtain high-quality solutions with relatively low computational overhead for moderate-scale STP instances, providing a new feasible path for handling this intractable combinatorial optimization problem.
title The Steiner Tree Problem: Novel QUBO Formulation and Quantum Annealing Implementation
topic Quantum Physics
url https://arxiv.org/abs/2603.04089