QAOA Parameter Transferability for Maximum Independent Set using Graph Attention Networks

Xu, Hanjing, Liu, Xiaoyuan, Pothen, Alex, Safro, Ilya

arXiv.org Artificial Intelligence 

--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 (GA T) to solve Maximum Independent Set (MIS) problems. We prepare optimized parameters for graphs of 12 and 14 vertices and use GA Ts 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 GA T -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. Reproducibility: Our source code and data are available at [link will be available upon acceptance]. Quantum computing is rapidly advancing as a powerful technology with substantial potential across a range of fields, including finance [1], chemical simulations [2], combinatorial optimization [3], and machine learning [4], among others.

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