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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,…

量子物理 · 物理学 2020-12-18 Mingyou Wu , Zhihao Liu , Hanwu Chen

Constrained combinatorial optimization with strict linear constraints underpins applications in drug discovery, power grids, logistics, and finance, yet remains computationally demanding for classical algorithms, especially at large scales.…

量子物理 · 物理学 2026-04-07 Yajie Hao , Qiming Ding , Xiao Yuan , Xiaoting Wang

The Quantum Approximate Optimization Algorithm (QAOA) uses a quantum computer to implement a variational method with $2p$ layers of alternating unitary operators, optimized by a classical computer to minimize a cost function. While rigorous…

量子物理 · 物理学 2024-11-19 Raimel A. Medina , Maksym Serbyn

The Quantum Approximate Optimization Algorithm (QAOA) is a promising variational algorithm for solving combinatorial optimization problems on near-term devices. However, as the number of layers in a QAOA circuit increases, which is…

机器学习 · 计算机科学 2025-04-24 Owain Parry , Phil McMinn

The Quantum Approximate Optimization Algorithm (QAOA) has emerged as a promising approach for solving NP hard combinatorial optimization problems on noisy intermediate-scale quantum (NISQ) hardware. However, its performance is critically…

量子物理 · 物理学 2025-11-13 Rakesh Saini , Nora Mohamed , Saif Al-Kuwari , Ahmed Farouk

The Quantum Approximate Optimization Algorithm (QAOA) is a promising approach for programming a near-term gate-based hybrid quantum computer to find good approximate solutions of hard combinatorial problems. However, little is currently…

量子物理 · 物理学 2018-11-21 Gavin E. Crooks

The quantum approximate optimization algorithm (QAOA) is an approach for near-term quantum computers to potentially demonstrate computational advantage in solving combinatorial optimization problems. However, the viability of the QAOA…

Quantum computers are expected to offer significant advantages in solving complex optimization problems that are challenging for classical computers. Quadratic Unconstrained Binary Optimization (QUBO) problems represent an important class…

A combinatorial optimization problem becomes very difficult in situations where the energy landscape is rugged, and the global minimum locates in a narrow region of the configuration space. When using the quantum approximate optimization…

量子物理 · 物理学 2023-06-22 Zhen-Duo Wang , Pei-Lin Zheng , Biao Wu , Yi Zhang

The Tail Assignment Problem (TAP) is a critical optimization challenge in airline operations, requiring the optimal assignment of aircraft to scheduled flights to maximize efficiency and minimize costs. To address the TAP, this work applies…

量子物理 · 物理学 2024-12-18 Marta Gili , Paul San Sebastian , Ane Blázquez-García

The Quantum Alternating Operator Ansatz, a generalization of the Quantum Approximate Optimization Algorithm (QAOA), is a quantum algorithm used for approximately solving combinatorial optimization problems. QAOA typically uses the…

量子物理 · 物理学 2025-05-20 Elijah Pelofske

This paper proposes a quasi-binary encoding based algorithm for solving a specific quadratic optimization models with discrete variables, in the quantum approximate optimization algorithm (QAOA) framework. The quadratic optimization model…

量子物理 · 物理学 2024-01-25 Bingren Chen , Hanqing Wu , Haomu Yuan , Lei Wu , Xin Li

Variational quantum algorithms (VQAs) have demonstrated considerable potential in solving NP-hard combinatorial problems in the contemporary near intermediate-scale quantum (NISQ) era. The quantum approximate optimisation algorithm (QAOA)…

量子物理 · 物理学 2024-05-09 Boy Choy , David J. Wales

While the ultimate goal of solving computationally intractable problems is to find a provably optimal solutions, practical constraints of real-world scenarios often necessitate focusing on efficiently obtaining high-quality, near-optimal…

量子物理 · 物理学 2025-04-23 Prashanti Priya Angara , Emily Martins , Ulrike Stege , Hausi Müller

Quantum computation is expected to accelerate certain computational task over classical counterpart. Its most primitive advantage is its ability to sample from classically intractable probability distributions. A promising approach to make…

量子物理 · 物理学 2024-07-26 Yuichiro Nakano , Hideaki Hakoshima , Kosuke Mitarai , Keisuke Fujii

This paper introduces two techniques that make the standard Quantum Approximate Optimization Algorithm (QAOA) more suitable for constrained optimization problems. The first technique describes how to use the outcome of a prior greedy…

量子物理 · 物理学 2022-02-07 Wim van Dam , Karim Eldefrawy , Nicholas Genise , Natalie Parham

The ability of the Quantum Approximate Optimization Algorithm (QAOA) to deliver a quantum advantage on combinatorial optimization problems is still unclear. Recently, a scaling advantage over a classical solver was postulated to exist for…

量子物理 · 物理学 2024-12-02 Thorge Müller , Ajainderpal Singh , Frank K. Wilhelm , Tim Bode

Constrained combinatorial optimization problems are challenging for quantum computing, particularly at utility-relevant scales and on near-term hardware. At the same time, these problems are of practical significance in industry; for…

Variational Quantum optimization algorithms, such as the Variational Quantum Eigensolver (VQE) or the Quantum Approximate Optimization Algorithm (QAOA), are among the most studied quantum algorithms. In our work, we evaluate and improve an…

量子物理 · 物理学 2022-10-24 David Winderl , Nicola Franco , Jeanette Miriam Lorenz

The Quantum Approximate Optimization Algorithm (QAOA) is one of the most promising Noisy Intermediate Quantum Algorithms (NISQ) in solving combinatorial optimizations and displays potential over classical heuristic techniques.…

量子物理 · 物理学 2024-01-18 Arul Rhik Mazumder , Anuvab Sen , Udayon Sen