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Quantum optimization allows for up to exponential quantum speedups for specific, possibly industrially relevant problems. As the key algorithm in this field, we motivate and discuss the Quantum Approximate Optimization Algorithm (QAOA),…

量子物理 · 物理学 2025-11-18 Jonas Stein , Maximilian Zorn , Leo Sünkel , Thomas Gabor

We present Snapshot-QAOA, a variation of the Quantum Approximate Optimization Algorithm (QAOA) that finds approximate minimum energy eigenstates of a large set of quantum Hamiltonians (i.e. Hamiltonians with non-diagonal terms).…

We show that the quantum approximate optimization algorithm (QAOA) can construct with polynomially scaling resources the ground state of the fully-connected p-spin Ising ferromagnet, a problem that notoriously poses severe difficulties to a…

量子物理 · 物理学 2020-08-06 Matteo M. Wauters , Glen Bigan Mbeng , Giuseppe E. Santoro

Optimizing Reconfigurable Intelligent Surfaces (RIS) is a high-dimensional combinatorial challenge. Current quantum algorithms often simplify this problem by ignoring physical constraints like mutual coupling, which significantly degrades…

计算工程、金融与科学 · 计算机科学 2026-05-08 Marco Pasquale , Erik M. Åsgrim , Stefano Markidis , Oscar Quevedo-Teruel

The quantum approximate optimization algorithm (QAOA) is a leading iterative variational quantum algorithm for heuristically solving combinatorial optimization problems. A large portion of the computational effort in QAOA is spent by the…

量子物理 · 物理学 2022-08-23 Ohad Amosy , Tamuz Danzig , Ely Porat , Gal Chechik , Adi Makmal

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

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

Motivated by the recent advancement of quantum processors, we investigate quantum approximate optimization algorithm (QAOA) to employ quasi-maximum-likelihood (ML) decoding of classical channel codes. QAOA is a hybrid quantum-classical…

信息论 · 计算机科学 2019-03-07 Toshiki Matsumine , Toshiaki Koike-Akino , Ye Wang

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

Efficient preparation of arbitrary entangled quantum states is crucial for quantum computation. This is particularly important for noisy intermediate scale quantum simulators relying on variational hybrid quantum-classical algorithms. To…

量子物理 · 物理学 2024-11-18 Ananda Roy , Sameer Erramilli , Robert M. Konik

The quantum approximate optimization algorithm (QAOA) is a hybrid quantum-classical variational algorithm that offers the potential to handle combinatorial optimization problems. Introducing constraints in such combinatorial optimization…

量子物理 · 物理学 2021-12-15 Santosh Kumar Radha

Determining Hamiltonian ground states and energies is a challenging task with many possible approaches on quantum computers. While variational quantum eigensolvers are popular approaches for near term hardware, adiabatic state preparation…

量子物理 · 物理学 2021-10-28 Vladimir Kremenetski , Tad Hogg , Stuart Hadfield , Stephen J. Cotton , Norm M. Tubman

The quantum approximate optimization algorithm (QAOA) is a promising quantum-classical hybrid technique to solve combinatorial optimization problems in near-term gate-based noisy quantum devices. In QAOA, the objective is a function of the…

量子物理 · 物理学 2019-07-24 Mahabubul Alam , Abdullah Ash-Saki , Swaroop Ghosh

The Quantum Approximate Optimization Algorithm (QAOA) requires that circuit parameters are determined that allow one to sample from high-quality solutions to combinatorial optimization problems. Such parameters can be obtained using either…

量子物理 · 物理学 2023-01-11 David Headley , Frank K. Wilhelm

In this letter, we provide analytical and numerical evidence that the single-layer Quantum Approximate Optimization Algorithm (QAOA) on universal Ising spin models produces thermal-like states. We find that these pseudo-Boltzmann states can…

量子物理 · 物理学 2023-02-06 Pablo Díez-Valle , Diego Porras , Juan José García-Ripoll

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

This paper proposes a quantum approximate optimization algorithm (QAOA) method for wireless scheduling problems. The QAOA is one of the promising hybrid quantum-classical algorithms for many applications and it provides highly accurate…

其他计算机科学 · 计算机科学 2020-09-07 Jaeho Choi , Seunghyeok Oh , Joongheon Kim

The quantum approximate optimization algorithm (QAOA) has become a cornerstone of contemporary quantum applications development. In QAOA, a quantum circuit is trained -- by repeatedly adjusting circuit parameters -- to solve a problem.…

量子物理 · 物理学 2021-08-17 V. Akshay , D. Rabinovich , E. Campos , J. Biamonte

The Quantum Approximate Optimization Algorithm (QAOA) is an algorithm originally proposed to find approximate solutions to Combinatorial Optimization problems on quantum computers. However, the algorithm has also attracted interest for…

量子物理 · 物理学 2024-02-08 Pablo Díez-Valle , Diego Porras , Juan José García-Ripoll

The quantum approximate optimization algorithm (QAOA) is a near-term quantum algorithm aimed at solving combinatorial optimization problems. Since its introduction, various generalizations have emerged, spanning modifications to the initial…

量子物理 · 物理学 2024-11-18 Truman Yu Ng , Jin Ming Koh , Dax Enshan Koh