QAOA Parameter Transferability for Maximum Independent Set using Graph Attention Networks

Fuente: arXiv
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Main Authors: Xu, Hanjing, Liu, Xiaoyuan, Pothen, Alex, Safro, Ilya
Format: Preprint
Published: 2025
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author Xu, Hanjing
Liu, Xiaoyuan
Pothen, Alex
Safro, Ilya
author_facet Xu, Hanjing
Liu, Xiaoyuan
Pothen, Alex
Safro, Ilya
contents The quantum approximate optimization algorithm (QAOA) is one of the promising variational approaches of quantum computing to solve combinatorial optimization problems. In QAOA, variational parameters need to be optimized by solving a series of nonlinear, nonconvex optimization programs. In this work, we propose a QAOA parameter transfer scheme using Graph Attention Networks (GAT) to solve Maximum Independent Set (MIS) problems. We prepare optimized parameters for graphs of 12 and 14 vertices and use GATs to transfer their parameters to larger graphs. Additionally, we design a hybrid distributed resource-aware algorithm for MIS (HyDRA-MIS), which decomposes large problems into smaller ones that can fit onto noisy intermediate-scale quantum (NISQ) computers. We integrate our GAT-based parameter transfer approach to HyDRA-MIS and demonstrate competitive results compared to KaMIS, a state-of-the-art classical MIS solver, on graphs with several thousands vertices.
format Preprint
id arxiv_https___arxiv_org_abs_2504_21135
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle QAOA Parameter Transferability for Maximum Independent Set using Graph Attention Networks
Xu, Hanjing
Liu, Xiaoyuan
Pothen, Alex
Safro, Ilya
Quantum Physics
Machine Learning
The quantum approximate optimization algorithm (QAOA) is one of the promising variational approaches of quantum computing to solve combinatorial optimization problems. In QAOA, variational parameters need to be optimized by solving a series of nonlinear, nonconvex optimization programs. In this work, we propose a QAOA parameter transfer scheme using Graph Attention Networks (GAT) to solve Maximum Independent Set (MIS) problems. We prepare optimized parameters for graphs of 12 and 14 vertices and use GATs to transfer their parameters to larger graphs. Additionally, we design a hybrid distributed resource-aware algorithm for MIS (HyDRA-MIS), which decomposes large problems into smaller ones that can fit onto noisy intermediate-scale quantum (NISQ) computers. We integrate our GAT-based parameter transfer approach to HyDRA-MIS and demonstrate competitive results compared to KaMIS, a state-of-the-art classical MIS solver, on graphs with several thousands vertices.
title QAOA Parameter Transferability for Maximum Independent Set using Graph Attention Networks
topic Quantum Physics
Machine Learning
url https://arxiv.org/abs/2504.21135