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arXiv · 2410.17227

Solving the Independent Domination Problem by Quantum Approximate Optimization Algorithm

Haoqian Pan·Changhong Lu
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Abstract

In the wake of quantum computing advancements and quantum algorithmic progress, quantum algorithms are increasingly being employed to address a myriad of combinatorial optimization problems. Among these, the Independent Domination Problem (IDP), a derivative of the Domination Problem, has practical implications in various real-world scenarios. Despite this, existing classical algorithms for IDP are plagued by high computational complexity, and quantum algorithms have yet to tackle this challenge. This paper introduces a Quantum Approximate Optimization Algorithm (QAOA)-based approach to address the IDP. Utilizing IBM's qasm_simulator, we have demonstrated the efficacy of QAOA in solving IDP under specific parameter settings, with a computational complexity that surpasses that of classical methods. Our findings offer a novel avenue for the resolution of IDP.

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Haoqian Pan, Changhong Lu. 2024-10-22. Solving the Independent Domination Problem by Quantum Approximate Optimization Algorithm. https://arxiv.org/abs/2410.17227

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