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The quantum approximate optimization algorithm (QAOA) is one of the most promising candidates for achieving quantum advantage through quantum-enhanced combinatorial optimization. Optimal QAOA parameter concentration effects for special…

Quantum Physics · Physics 2024-07-10 Jose Falla , Quinn Langfitt , Yuri Alexeev , Ilya Safro

The Quantum approximate optimization algorithm (QAOA) is one of the most promising candidates for achieving quantum advantage through quantum-enhanced combinatorial optimization. In a typical QAOA setup, a set of quantum circuit parameters…

Quantum Physics · Physics 2021-06-15 Alexey Galda , Xiaoyuan Liu , Danylo Lykov , Yuri Alexeev , Ilya Safro

The quantum approximate optimization algorithm (QAOA) is one of the most promising candidates for achieving quantum advantage through quantum-enhanced combinatorial optimization. A near-optimal solution to the combinatorial optimization…

Quantum Physics · Physics 2023-07-12 Alexey Galda , Eesh Gupta , Jose Falla , Xiaoyuan Liu , Danylo Lykov , Yuri Alexeev , Ilya Safro

Quantum Approximate Optimization Algorithm (QAOA) is one of the most promising candidates to achieve the quantum advantage in solving combinatorial optimization problems. The process of finding a good set of variational parameters in the…

Quantum Physics · Physics 2025-07-18 Kien X. Nguyen , Bao Bach , Ilya Safro

Quantum approximate optimization algorithm (QAOA) have promising applications in combinatorial optimization problems (COPs). We investigated the MaxCut problem in three different families of graphs using QAOA ansats with parameter transfer…

Quantum Physics · Physics 2026-01-23 Shubham Patel , Utkarsh Mishra

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…

Quantum Physics · Physics 2025-05-01 Hanjing Xu , Xiaoyuan Liu , Alex Pothen , Ilya Safro

Solving optimization problems with high performance is the target of existing works of Quantum Approximate Optimization Algorithm (QAOA). With this intention, we propose an advanced QAOA based on incremental learning, where the training…

Quantum Physics · Physics 2023-11-07 Lingxiao Li , Jing Li , Yanqi Song , Sujuan Qin , Qiaoyan Wen , Fei Gao

The recently proposed QAOA-GPT framework demonstrated that generative pre-trained transformers can learn mappings between problem graphs and optimized quantum circuits for the Quantum Approximate Optimization Algorithm (QAOA). In this work,…

Quantum Physics · Physics 2025-11-11 Leanto Sunny , Abhinav Rijal , George Siopsis

In recent years, quantum computing has emerged as a transformative force in the field of combinatorial optimization, offering novel approaches to tackling complex problems that have long challenged classical computational methods. Among…

We propose a machine learning based approach to accelerate quantum approximate optimization algorithm (QAOA) implementation which is a promising quantum-classical hybrid algorithm to prove the so-called quantum supremacy. In QAOA, a…

Emerging Technologies · Computer Science 2020-04-07 Mahabubul Alam , Abdullah Ash-Saki , Swaroop Ghosh

Variational Quantum Algorithms, including the Quantum Approximate Optimization Algorithm (QAOA), have shown promise in solving optimization problems but rely on costly variational loops that can themselves be hard optimization problems.…

Quantum Physics · Physics 2026-04-30 Lucas T. Braydwood , Phillip C. Lotshaw

Quantum Computing promises to solve complex combinatorial optimization problems more efficiently than classical methods, with the Quantum Approximate Optimization Algorithm (QAOA) being a leading candidate. Recent fixed-parameter variations…

Quantum Physics · Physics 2026-03-04 Rodrigo Coelho , Georg Kruse , Jeanette Miriam Lorenz

Learning the problem structure at multiple levels of coarseness to inform the decomposition-based hybrid quantum-classical combinatorial optimization solvers is a promising approach to scaling up variational approaches. We introduce a…

Quantum Physics · Physics 2025-03-18 Bao Bach , Jose Falla , Ilya Safro

The quantum approximate optimization algorithm (QAOA) is a leading iterative variational quantum algorithm for heuristically solving combinatorial optimization problems. A large portion of the computational effort in QAOA is spent by the…

Quantum Physics · Physics 2022-08-23 Ohad Amosy , Tamuz Danzig , Ely Porat , Gal Chechik , Adi Makmal

The Quantum approximate optimization algorithm (QAOA) is a quantum-classical hybrid algorithm aiming to produce approximate solutions for combinatorial optimization problems. In the QAOA, the quantum part prepares a quantum parameterized…

Quantum Physics · Physics 2024-04-23 Ningyi Xie , Xinwei Lee , Dongsheng Cai , Yoshiyuki Saito , Nobuyoshi Asai

The Quantum Approximate Optimization Algorithm (QAOA) is a hybrid quantum-classical algorithm that shows promise in efficiently solving the MaxCut problem, a representative example of combinatorial optimization. However, its effectiveness…

Quantum Physics · Physics 2025-01-22 Fanxu Meng , Xiangzhen Zhou , Pengcheng Zhu , Yu Luo

Quantum computing promises solutions to classically difficult and new-found problems through controlling the subtleties of quantum computing. The Quantum Approximate Optimisation Algorithm (QAOA) is a recently proposed quantum algorithm…

Quantum Physics · Physics 2024-12-24 Nicholas J. Pritchard

The quantum approximate optimization algorithm (QAOA) holds promise for combinatorial optimization but is constrained by limited qubits. While divide-and-conquer frameworks like QAOA$^{2}$ address scalability by partitioning graphs into…

Quantum Physics · Physics 2026-05-14 Zubin Zheng , Jiahao Wu , Shengcai Liu

The Quantum Approximate Optimization Algorithm (QAOA) is a variational quantum algorithm that can be used to approximately solve combinatorial optimization problems. However, a major limitation of QAOA is that it is a "local" algorithm for…

Quantum Physics · Physics 2025-04-10 Quinn Langfitt , Reuben Tate , Stephan Eidenbenz

The Quantum Approximate Optimization Algorithm (QAOA) is a leading approach for solving combinatorial optimization problems on near-term quantum processors. However, finding good variational parameters remains a significant challenge due to…

Quantum Physics · Physics 2025-12-05 Yu-Cheng Lin , Yu-Chao Hsu , Samuel Yen-Chi Chen
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