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The Quantum Approximate Optimization Algorithm (QAOA) is a quantum-classical hybrid algorithm intending to find the ground state of a target Hamiltonian. Theoretically, QAOA can obtain the approximate solution if the quantum circuit is deep…

Quantum Physics · Physics 2022-04-26 Yahui Chai , Yong-Jian Han , Yu-Chun Wu , Ye Li , Menghan Dou , Guo-Ping Guo

Variational quantum algorithms are believed to be promising for solving computationally hard problems and are often comprised of repeated layers of quantum gates. An example thereof is the quantum approximate optimization algorithm (QAOA),…

We apply digitized Quantum Annealing (QA) and Quantum Approximate Optimization Algorithm (QAOA) to a paradigmatic task of supervised learning in artificial neural networks: the optimization of synaptic weights for the binary perceptron. At…

Quantum Physics · Physics 2021-12-21 Pietro Torta , Glen B. Mbeng , Carlo Baldassi , Riccardo Zecchina , Giuseppe E. Santoro

Optimization is often cited as a promising application of quantum computers. However, the low degree of provable quantum speedups has led prior rigorous end-to-end resource analyses to conclude that a quantum computer is unlikely to surpass…

This paper introduces a noise-aware distributed Quantum Approximate Optimization Algorithm (QAOA) tailored for execution on near-term quantum hardware. Leveraging a distributed framework, we address the limitations of current Noisy…

Quantum Physics · Physics 2024-08-12 Kuan-Cheng Chen , Xiatian Xu , Felix Burt , Chen-Yu Liu , Shang Yu , Kin K Leung

Quantum Approximate Optimization Algorithm (QAOA) is a hybrid classical-quantum algorithm to approximately solve NP optimization problems such as MAX-CUT. We describe a new application area of QAOA circuits: graph structure discovery. We…

Quantum Physics · Physics 2020-01-01 Mario Szegedy

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…

Quantum Physics · Physics 2024-07-10 Jose Falla , Quinn Langfitt , Yuri Alexeev , Ilya Safro

We propose an Indirect Quantum Approximate Optimization Algorithm (referred to as IQAOA) where the Quantum Alternating Operator Ansatz takes into consideration a general parameterized family of unitary operators to efficiently model the…

Quantum Physics · Physics 2023-11-07 Eric Bourreau , Gerard Fleury , Philippe Lacomme

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…

Quantum Physics · Physics 2025-10-15 Teemu Pihkakoski , Aravind Plathanam Babu , Pauli Taipale , Petri Liimatta , Matti Silveri

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) is a variational quantum algorithm for Near-term Intermediate-Scale Quantum computers (NISQ) providing approximate solutions for combinatorial optimiz\-ation problems. The QAOA utilizes…

One of the central goals of the DARPA Optimization with Noisy Intermediate-Scale Quantum (ONISQ) program is to implement a hybrid quantum/classical optimization algorithm with high $N\cdot p$, where $N$ is the number of qubits and $p$ is…

Quantum Physics · Physics 2026-02-23 Ruslan Shaydulin , Marco Pistoia

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

The Quantum Approximate Optimization Algorithm (QAOA) is an algorithmic framework for finding approximate solutions to combinatorial optimization problems, derived from an approximation to the Quantum Adiabatic Algorithm (QAA). In solving…

Quantum Physics · Physics 2020-02-05 Yue Ruan , Samuel Marsh , Xilin Xue , Xi Li , Zhihao Liu , Jingbo Wang

The Quantum Approximate Optimization Algorithm (QAOA) is a leading approach for combinatorial optimization on near-term quantum devices, yet its scalability is limited by the difficulty of optimizing \(2p\) variational parameters for a…

Quantum Physics · Physics 2026-02-17 Ugo Nzongani , Dylan Laplace Mermoud , Arthur Braida

As power systems expand, solving the Unit Commitment Problem (UCP) becomes increasingly challenging due to the dimensional catastrophe, and traditional methods often struggle to balance computational efficiency and solution quality. To…

Systems and Control · Electrical Eng. & Systems 2025-03-27 Jingxian Zhou , Ziqing Zhu , Linghua Zhu , Siqi Bu

The Quantum Approximate Optimization Algorithm (QAOA) is a leading candidate for demonstrating quantum advantage on near-term devices, yet the physical origins of its efficacy remain poorly understood. In this work, we study QAOA for random…

Quantum Physics · Physics 2026-05-21 Mingyou Wu , Hanwu Chen

Quantum technology provides a ground-breaking methodology to tackle challenging computational issues in power systems, especially for Distributed Energy Resources (DERs) dominant cyber-physical systems that have been widely developed to…

Quantum Physics · Physics 2022-04-05 Hang Jing , Ye Wang , Yan Li

We study the Quantum Approximate Optimization Algorithm (QAOA) in the context of the Max-Cut problem. Near-term (noisy) quantum devices are only able to (accurately) execute QAOA at low circuit depths while QAOA requires a relatively high…

Quantum Physics · Physics 2023-08-24 Reuben Tate , Majid Farhadi , Creston Herold , Greg Mohler , Swati Gupta

The Quantum Approximate Optimization Algorithm and its generalization to Quantum Alternating Operator Ansatz (QAOA) is a promising approach for applying quantum computers to challenging problems such as combinatorial optimization and…

Quantum Physics · Physics 2023-07-25 Vladimir Kremenetski , Anuj Apte , Tad Hogg , Stuart Hadfield , Norm M. Tubman
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