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Solving combinatorial optimization problems using variational quantum algorithms (VQAs) has emerged as a promising research direction. Since the introduction of the Quantum Approximate Optimization Algorithm (QAOA), numerous variants have…

量子物理 · 物理学 2025-07-28 Xin Wei Lee , Hoong Chuin Lau

Optimization problems are critical across various domains, yet existing quantum algorithms, despite their great potential, struggle with scalability and accuracy due to excessive reliance on entanglement. To address these limitations, we…

量子物理 · 物理学 2025-03-04 Seongmin Kim , In-Saeng Suh

The Traveling Salesman Problem (TSP) is a fundamental challenge in combinatorial optimization, widely applied in logistics and transportation. As the size of TSP instances grows, traditional algorithms often struggle to produce high-quality…

Quantum computing is a computational paradigm with the potential to outperform classical methods for a variety of problems. Proposed recently, the Quantum Approximate Optimization Algorithm (QAOA) is considered as one of the leading…

机器学习 · 计算机科学 2022-06-16 Sami Khairy , Ruslan Shaydulin , Lukasz Cincio , Yuri Alexeev , Prasanna Balaprakash

Quantum computing is a promising technology to address combinatorial optimization problems, for example via the quantum approximate optimization algorithm (QAOA). Its potential, however, hinges on scaling toy problems to sizes relevant for…

QAOA is a hybrid quantum-classical algorithm to solve optimization problems in gate-based quantum computers. It is based on a variational quantum circuit that can be interpreted as a discretization of the annealing process that quantum…

量子物理 · 物理学 2025-05-28 Francisco Chicano , Zakaria Abdelmoiz Dahi , Gabriel Luque

Combinatorial optimization problems on graphs have broad applications in science and engineering. The Quantum Approximate Optimization Algorithm (QAOA) is a method to solve these problems on a quantum computer by applying multiple rounds of…

Designing noisy-resilience quantum algorithms is indispensable for practical applications on Noisy Intermediate-Scale Quantum~(NISQ) devices. Here we propose a quantum approximate optimization algorithm~(QAOA) with a very shallow circuit,…

量子物理 · 物理学 2021-09-27 Fang-Gang Duan , Dan-Bo Zhang

A combinatorial optimization problem is to find an optimal solution under the constraints. This is one of the potential applications for quantum computers. Quantum Random Access Optimization (QRAO) is the quantum optimization algorithm that…

量子物理 · 物理学 2024-05-03 Hiromichi Matsuyama , Wei-hao Huang , Kohji Nishimura , Yu Yamashiro

Quantum Approximate Optimization Algorithm (QAOA) is a promising hybrid quantum-classical algorithm for solving combinatorial optimization problems. However, it cannot overcome qubit limitation for large-scale problems. Furthermore, the…

新兴技术 · 计算机科学 2021-03-01 Junde Li , Mahabubul Alam , Swaroop Ghosh

We introduce the Constraint-Enhanced Quantum Approximate Optimization Algorithm (CE-QAOA), a shallow, constraint-aware ansatz that operates inside the one-hot product space [n]^m, where m is the number of blocks and each block is…

新兴技术 · 计算机科学 2026-01-21 Chinonso Onah , Roman Firt , Kristel Michielsen

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…

量子物理 · 物理学 2021-07-28 Samuel Marsh , Jingbo Wang

Quadratic unconstrained binary optimization (QUBO) has become the standard format for optimization using quantum computers, i.e., for both the quantum approximate optimization algorithm (QAOA) and quantum annealing (QA). We present a…

Multiple-input multiple-output (MIMO) is critical for 6G communication, offering improved spectral efficiency and reliability. However, conventional fully digital designs face significant challenges due to high hardware complexity and power…

新兴技术 · 计算机科学 2025-10-21 Nikos A Mitsiou , Ioannis Krikidis , George K Karagiannidis

The quantum approximate optimization algorithm~(QAOA) first proposed by Farhi et al. promises near-term applications based on its simplicity, universality, and provable optimality. A depth-p QAOA consists of p interleaved unitary…

量子物理 · 物理学 2019-05-30 Murphy Yuezhen Niu , Sirui Lu , Isaac L. Chuang

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 one of the most promising candidates for achieving quantum advantage over classical computers. However, existing compilers lack specialized methods for optimizing QAOA circuits. There…

量子物理 · 物理学 2024-08-19 Yuchen Zhu , Yidong Zhou , Jinglei Cheng , Yuwei Jin , Boxi Li , Siyuan Niu , Zhiding Liang

With the rapid advancement of quantum computing, Quantum Approximate Optimization Algorithm (QAOA) is considered as a promising candidate to demonstrate quantum supremacy, which exponentially solves a class of Quadratic Unconstrained Binary…

量子物理 · 物理学 2023-10-11 Bo Yue , Shibei Xue , Yu Pan , Min Jiang , Daoyi Dong

Quantum annealers can solve QUBO problems efficiently but struggle with continuous optimization tasks like regression due to their discrete nature. We introduce Quadratic Continuous Quantum Optimization (QCQO), an anytime algorithm that…

量子物理 · 物理学 2026-01-01 Sascha Mücke , Thore Gerlach , Nico Piatkowski

The design of fast algorithms for combinatorial optimization greatly contributes to a plethora of domains such as logistics, finance, and chemistry. Quantum approximate optimization algorithms (QAOAs), which utilize the power of quantum…

量子物理 · 物理学 2022-05-25 Zeqiao Zhou , Yuxuan Du , Xinmei Tian , Dacheng Tao