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The Quantum Approximate Optimization Algorithm (QAOA) has emerged as a promising approach for addressing combinatorial optimization problems on near-term quantum hardware. In this work, we conduct an empirical evaluation of QAOA on the…

量子物理 · 物理学 2026-04-27 Evgenii Dolzhkov , Franz G. Fuchs , Dirk Oliver Theis

The quantum approximate optimization algorithm (QAOA) has the potential of providing a useful quantum advantage on noisy intermediate-scale quantum (NISQ) devices. The effects of uncorrelated noise on variational quantum algorithms such as…

量子物理 · 物理学 2023-05-08 Joris Kattemölle , Guido Burkard

Current quantum computers suffer from a limited number of qubits and high error rates, limiting practical applicability. Different techniques exist to mitigate these effects and run larger algorithms. In this work, we analyze one of these…

量子物理 · 物理学 2026-02-04 Michel Meulen , Niels M. P. Neumann , Jasper Verbree

Quantum Approximate Optimization Algorithm (QAOA) is a hybrid algorithm whose control parameters are classically optimized. In addition to the variational parameters, the right choice of hyperparameter is crucial for improving the…

量子物理 · 物理学 2022-06-30 Yu Pan , Yifan Tong , Yi Yang

Quantum computing is an emerging field on the multidisciplinary interface between physics, engineering, and computer science with the potential to make a large impact on computational intelligence (CI). The aim of this paper is to introduce…

This paper introduces a novel approach to the Quantum Approximate Optimization Algorithm (QAOA), specifically tailored to the knapsack problem. We combine the recently proposed quantum tree generator as an efficient state preparation…

量子物理 · 物理学 2026-01-12 Paul Christiansen , Lennart Binkowski , Debora Ramacciotti , Sören Wilkening

The quantum approximate optimization algorithm (QAOA) is a prospective near-term quantum algorithm due to its modest circuit depth and promising benchmarks. However, an external parameter optimization required in QAOA could become a…

量子物理 · 物理学 2022-01-26 Stefan H. Sack , Maksym Serbyn

The Quantum Approximate Optimization Algorithm (QAOA) by Farhi et al. is a quantum computational framework for solving quantum or classical optimization tasks. Here, we explore using QAOA for Binary Linear Least Squares (BLLS); a problem…

量子物理 · 物理学 2021-04-27 Ajinkya Borle , Vincent E. Elfving , Samuel J. Lomonaco

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

Computational quantum technologies are entering a new phase in which noisy intermediate-scale quantum computers are available, but are still too small to benefit from active error correction. Even with a finite coherence budget to invest in…

量子物理 · 物理学 2019-12-13 G. G. Guerreschi , A. Y. Matsuura

Quantum algorithms have the potential to provide exponential speedups over some of the best known classical algorithms. These speedups may enable quantum devices to solve currently intractable problems such as those in the fields of…

量子物理 · 物理学 2018-12-13 Ciarán Ryan-Anderson

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…

量子物理 · 物理学 2024-07-10 Jose Falla , Quinn Langfitt , Yuri Alexeev , Ilya Safro

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…

分布式、并行与集群计算 · 计算机科学 2025-03-24 Seongmin Kim , Vincent R. Pascuzzi , Zhihao Xu , Tengfei Luo , Eungkyu Lee , In-Saeng Suh

The weighted MAX k-CUT problem consists of finding a k-partition of a given weighted undirected graph G(V,E) such that the sum of the weights of the crossing edges is maximized. The problem is of particular interest as it has a multitude of…

量子物理 · 物理学 2024-11-22 Franz Georg Fuchs , Herman Øie Kolden , Niels Henrik Aase , Giorgio Sartor

Quantum optimization algorithms can be used to recreate unsupervised learning clustering of data by mapping the problem to a graph optimization problem and finding the minimum energy for a MaxCut problem formulation. This research tests the…

量子物理 · 物理学 2021-09-01 Daniel Beaulieu , Anh Pham

Variational quantum algorithms, which consist of optimal parameterized quantum circuits, are promising for demonstrating quantum advantages in the noisy intermediate-scale quantum (NISQ) era. Apart from classical computational resources,…

量子物理 · 物理学 2024-12-30 Chen Qian , Wei-Feng Zhuang , Rui-Cheng Guo , Meng-Jun Hu , Dong E. Liu

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…

最优化与控制 · 数学 2024-01-18 Yunsoo Ha , Sara Shashaani , Matt Menickelly

Quantum computers have now surpassed classical simulation limits, yet noise continues to limit their practical utility. As the field shifts from proof-of-principle demonstrations to early deployments, there is no standard method for…

量子物理 · 物理学 2025-05-29 J. A. Montanez-Barrera , Kristel Michielsen , David E. Bernal Neira

The Quantum Approximate Optimization Algorithm (QAOA) is a general purpose quantum algorithm designed for combinatorial optimization. We analyze its expected performance and prove concentration properties at any constant level (number of…

量子物理 · 物理学 2023-07-19 Joao Basso , David Gamarnik , Song Mei , Leo Zhou

The Quantum Alternating Operator Ansatz (QAOA) represents a branch of quantum algorithms for solving combinatorial optimization problems. A specific variant, the Grover-Mixer Quantum Alternating Operator Ansatz (GM-QAOA), ensures uniform…

量子物理 · 物理学 2024-05-27 Ningyi Xie , Jiahua Xu , Tiejin Chen , Xinwei Lee , Yoshiyuki Saito , Nobuyoshi Asai , Dongsheng Cai