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Combinatorial optimization is among the main applications envisioned for near-term and fault-tolerant quantum computers. In this work, we consider a well-studied quantum algorithm for combinatorial optimization: the Quantum Approximate…

Quantum Physics · Physics 2020-11-12 Sami Boulebnane

Quantum alternating operator ansatz (QAOA) has a strong connection to the adiabatic algorithm, which it can approximate with sufficient depth. However, it is unclear to what extent the lessons from the adiabatic regime apply to QAOA as…

Developing quantum algorithms adaptive to specific constraints of near-term devices is an essential step towards practical quantum advantage. In a recent work [Phys. Rev. Lett. 131, 103601(2023)], we show cold atoms in an optical cavity can…

Quantum Physics · Physics 2024-06-12 Yuchen Luo , Xiaopeng Li , Jian Lin

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 promising candidate algorithm for demonstrating quantum advantage in optimization using near-term quantum computers. However, QAOA has high requirements on gate fidelity due to the…

Quantum Physics · Physics 2023-03-20 Xiaoyuan Liu , Ruslan Shaydulin , Ilya Safro

Complicated boundary conditions are essential to accurately describe phenomena arising in nature and engineering. Recently, the investigation of a potential speedup through quantum algorithms in simulating the governing ordinary and partial…

Quantum Physics · Physics 2025-06-30 Philipp Schleich , Tyler Kharazi , Xiangyu Li , Jin-Peng Liu , Alán Aspuru-Guzik , Nathan Wiebe

An enhanced framework of quantum approximate optimization algorithm (QAOA) is introduced and the parameter setting strategies are analyzed. The enhanced QAOA is as effective as the QAOA but exhibits greater computing power and flexibility,…

Quantum Physics · Physics 2020-12-18 Mingyou Wu , Zhihao Liu , Hanwu Chen

Quantum Approximate Optimization Algorithm (QAOA) is a promising candidate for achieving quantum advantage in combinatorial optimization. However, its variational framework presents a long-standing challenge in selecting circuit parameters.…

Quantum approximate optimization algorithm (QAOA) has shown promise in solving combinatorial optimization problems by providing quantum speedup on near-term gate-based quantum computing systems. However, QAOA faces challenges for…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-24 Seongmin Kim , Vincent R. Pascuzzi , Zhihao Xu , Tengfei Luo , Eungkyu Lee , In-Saeng Suh

The quantum approximate optimization algorithm, also known in its generalization as the quantum alternating operator ansatz, (QAOA) is a heuristic hybrid quantum-classical algorithm for finding high-quality approximate solutions to…

The Quantum Approximate Optimization Algorithm (QAOA) has enjoyed increasing attention in noisy intermediate-scale quantum computing due to its application to combinatorial optimization problems. Because combinatorial optimization problems…

Optimization and Control · Mathematics 2024-01-18 Yunsoo Ha , Sara Shashaani , Matt Menickelly

The Quantum Approximate Optimization Algorithm (QAOA) is a promising algorithm for solving combinatorial optimization problems (COPs), with performance governed by variational parameters $\{\gamma_i, \beta_i\}_{i=0}^{p-1}$. While most prior…

Quantum Physics · Physics 2025-08-07 J. A. Montanez-Barrera , Kristel Michielsen

The quantum approximate optimization algorithm (QAOA) is a quantum heuristic for combinatorial optimization that has been demonstrated to scale better than state-of-the-art classical solvers for some problems. For a given problem instance,…

Quantum Physics · Physics 2026-02-23 Tianyi Hao , Zichang He , Ruslan Shaydulin , Jeffrey Larson , Marco Pistoia

The prospect of using quantum computers to solve combinatorial optimization problems via the quantum approximate optimization algorithm (QAOA) has attracted considerable interest in recent years. However, a key limitation associated with…

Quantum Physics · Physics 2023-01-05 Alicia B. Magann , Kenneth M. Rudinger , Matthew D. Grace , Mohan Sarovar

We introduce a counterdiabatic (CD) extension of the Quantum Approximate Optimization Algorithm (QAOA) for constrained portfolio optimization. By incorporating approximate adiabatic gauge potentials generated from nested commutators of the…

Quantum Physics · Physics 2026-05-11 Jose Falla , Ilya Safro

The Quantum Approximate Optimization Algorithm (QAOA) represents a significant opportunity for practical quantum computing applications, particularly in the era before error correction is fully realized. This algorithm is especially…

Quantum Physics · Physics 2024-10-08 Yiwen Liu , Qingyue Jiao , Yidong Zhou , Zhiding Liang , Yiyu Shi , Ke Wan , Shangjie Guo

Quantum computing holds great potential to accelerate the process of solving complex combinatorial optimization problems. The Distributed Quantum Approximate Optimization Algorithm (DQAOA) addresses high-dimensional, dense problems using…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-13 Zhihao Xu , Srikar Chundury , Seongmin Kim , Amir Shehata , Xinyi Li , Ang Li , Tengfei Luo , Frank Mueller , In-Saeng Suh

This paper describes an application of the Quantum Approximate Optimisation Algorithm (QAOA) to efficiently find approximate solutions for computational problems contained in the polynomially bounded NP optimisation complexity class (NPO…

Quantum Physics · Physics 2021-07-28 Samuel Marsh , Jingbo Wang

We present a method to split quantum circuits of variational quantum algorithms (VQAs) to allow for parallel training and execution, that maximally exploits the limited number of qubits in hardware to solve large problem instances. We apply…

Quantum Physics · Physics 2023-04-07 Michele Cattelan , Sheir Yarkoni

Quantum approximate optimization algorithm (QAOA) has attracted much attention as an algorithm that has the potential to efficiently solve combinatorial optimization problems. Among them, a fermionic QAOA (FQAOA) for solving constrained…

Quantum Physics · Physics 2023-12-11 Takuya Yoshioka , Keita Sasada , Yuichiro Nakano , Keisuke Fujii
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