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Quantum annealing (QA) holds promise for optimization problems in quantum computing, especially for combinatorial optimization. This analog framework attracts attention for its potential to address complex problems. Its gate-based…

量子物理 · 物理学 2025-09-11 Arthur Braida , Simon Martiel , Ioan Todinca

In this paper, we eliminate the classical outer learning loop of the Quantum Approximate Optimization Algorithm (QAOA) and present a strategy to find good parameters for QAOA based on topological arguments of the problem graph and tensor…

量子物理 · 物理学 2019-08-26 Michael Streif , Martin Leib

Combinatorial optimization problems are ubiquitous and computationally hard to solve in general. Quantum approximate optimization algorithm (QAOA), one of the most representative quantum-classical hybrid algorithms, is designed to solve…

量子物理 · 物理学 2024-03-12 Lixue Cheng , Yu-Qin Chen , Shi-Xin Zhang , Shengyu Zhang

Quantum Approximate Optimization Algorithm (QAOA) is one of the most promising quantum heuristics for combinatorial optimization. While QAOA has been shown to perform well on small-scale instances and to provide an asymptotic speedup over…

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,…

量子物理 · 物理学 2025-11-11 Leanto Sunny , Abhinav Rijal , George Siopsis

Quantum approximate optimization algorithm (QAOA) aims to solve discrete optimization problems by sampling bitstrings using a parameterized quantum circuit. The circuit parameters (angles) are optimized in the way that minimizes the cost…

量子物理 · 物理学 2023-11-29 A. Yu. Chernyavskiy , B. I. Bantysh , Yu. I. Bogdanov

Hadfield et al. proposed a novel Quantum Alternating Operator Ansatz algorithm (QAOA+), and this algorithm has wide applications in solving constrained combinatorial optimization problems (CCOPs) because of the advantages of QAOA+ ansatz in…

量子物理 · 物理学 2025-04-09 Xiao-Hui Ni , Ling-Xiao Li , Yan-Qi Song , Zheng-Ping Jin , Su-Juan Qin , Fei Gao

High error rates and limited fidelity of quantum gates in near-term quantum devices are the central obstacles to successful execution of the Quantum Approximate Optimization Algorithm (QAOA). In this paper we introduce an…

量子物理 · 物理学 2022-06-16 Ruslan Shaydulin , Alexey Galda

The Quantum Approximate Optimization Algorithm (QAOA) is a leading framework for quantum combinatorial optimization. The Vehicle Routing Problem (VRP), a core problem in logistics and transportation, is a natural application target, but it…

新兴技术 · 计算机科学 2026-04-09 Yuan-Zheng Lei , Yaobang Gong , Xianfeng Terry Yang , Nii Attoh-Okine

The quantum approximate optimization algorithm (QAOA) is a variational quantum algorithm, where a quantum computer implements a variational ansatz consisting of $p$ layers of alternating unitary operators and a classical computer is used to…

量子物理 · 物理学 2023-06-07 Stefan H. Sack , Raimel A. Medina , Richard Kueng , Maksym Serbyn

Quantum Annealing (QA) is a computational framework where a quantum system's continuous evolution is used to find the global minimum of an objective function over an unstructured search space. It can be seen as a general metaheuristic for…

量子物理 · 物理学 2022-02-04 Arthur Braida , Simon Martiel , Ioan Todinca

We compare the performance of a quantum local algorithm to a similar classical counterpart on a well-established combinatorial optimization problem LocalMaxCut. We show that a popular quantum algorithm first discovered by Farhi, Goldstone,…

量子物理 · 物理学 2023-09-18 Charlie Carlson , Zackary Jorquera , Alexandra Kolla , Steven Kordonowy

The quantum approximate optimization algorithm (QAOA) has emerged as a promising candidate for demonstrating quantum advantage on noisy intermediate-scale quantum (NISQ) devices. While various QAOA parameterization schemes exist, ranging…

量子物理 · 物理学 2026-05-05 Evan Camilleri , André Xuereb , Tony J. G. Apollaro , Mirko Consiglio

We develop a qubit routing algorithm with polynomial classical run time for the Quantum Approximate Optimization Algorithm (QAOA). The algorithm follows a two step process. First, it obtains a near-optimal solution, based on Vizing's…

量子物理 · 物理学 2023-12-27 Ayse Kotil , Fedor Simkovic , Martin Leib

Quantum Approximate Optimization Algorithms (QAOA) have demonstrated a strong potential in addressing graph-based optimization problems. However, the execution of large-scale quantum circuits remains constrained by the limitations of…

量子物理 · 物理学 2025-06-11 Vicente P. Soloviev , Antonio Márquez Romero , Josh Kirsopp , Michal Krompiec

Optimizing of a portfolio of financial assets is a critical industrial problem which can be approximately solved using algorithms suitable for quantum processing units (QPUs). We benchmark the success of this approach using the Quantum…

量子物理 · 物理学 2022-02-15 Jack S. Baker , Santosh Kumar Radha

We establish and discuss a number of connections between a digitized version of Quantum Annealing (QA) with the Quantum Approximate Optimization Algorithm (QAOA) introduced by Farhi et al. (arXiv:1411.4028) as an alternative hybrid…

量子物理 · 物理学 2019-12-10 Glen Bigan Mbeng , Rosario Fazio , Giuseppe Santoro

The efficient management of energy communities relies on the solution of the "prosumer problem", i.e., the problem of scheduling the household loads on the basis of the user needs, the electricity prices, and the availability of local…

量子物理 · 物理学 2023-11-20 Carlo Mastroianni , Francesco Plastina , Luigi Scarcello , Jacopo Settino , Andrea Vinci

Variational quantum algorithms offer fascinating prospects for the solution of combinatorial optimization problems using digital quantum computers. However, the achievable performance in such algorithms and the role of quantum correlations…

量子物理 · 物理学 2024-01-10 Gopal Chandra Santra , Fred Jendrzejewski , Philipp Hauke , Daniel J. Egger

The unit commitment (UC) problem stands as a critical optimization challenge in the electrical power industry. It is classified as NP-hard, placing it among the most intractable problems to solve. This paper introduces a novel hybrid…

量子物理 · 物理学 2024-12-17 Bruna Salgado , André Sequeira , Luis Paulo Santos
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