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The Quantum Approximate Optimization Algorithm, QAOA, uses a shallow depth quantum circuit to produce a parameter dependent state. For a given combinatorial optimization problem instance, the quantum expectation of the associated cost…

Variational quantum algorithms dominate contemporary gate-based quantum enhanced optimisation, eigenvalue estimation and machine learning. Here we establish the quantum computational universality of variational quantum computation by…

量子物理 · 物理学 2021-05-25 Jacob Biamonte

The aircraft loading optimization problem is a computationally hard problem with the best known classical algorithm scaling exponentially with the number of objects. We propose a quantum approach based on a multi-angle variant of the QAOA…

The LogQ algorithm encodes Quadratic Unconstrained Binary Optimization (QUBO) problems with exponentially fewer qubits than the Quantum Approximate Optimization Algorithm (QAOA). The advantages of conventional LogQ are accompanied by a…

量子物理 · 物理学 2025-07-14 Yagnik Chatterjee , Jérémie Messud

Solving combinatorial optimization problems on near-term quantum devices has gained a lot of attraction in recent years. Currently, most works have focused on single-objective problems, whereas many real-world applications need to consider…

量子物理 · 物理学 2025-06-06 Linus Ekstrom , Hao Wang , Sebastian Schmitt

The quantum approximate optimization algorithm (QAOA) is considered to be one of the most promising approaches towards using near-term quantum computers for practical application. In its original form, the algorithm applies two different…

量子物理 · 物理学 2021-04-08 Mauro E. S. Morales , Jacob Biamonte , Zoltán Zimborás

The quantum approximate optimization algorithm (QAOA) is a leading variational approach to combinatorial optimization, but its practical performance depends strongly on objective design, parameter search, and shot allocation. We present a…

量子物理 · 物理学 2026-04-09 Siran Zhang , Shuming Cheng

A new methodology is proposed to solve classical Boolean problems as Hamiltonians, using the quantum approximate optimization algorithm (QAOA). Our methodology successfully finds all optimized approximated solutions for Boolean problems,…

量子物理 · 物理学 2024-07-11 Ali Al-Bayaty , Marek Perkowski

The Quantum Approximate Optimization Algorithm (QAOA) is widely studied for combinatorial optimization and has achieved significant advances both in theoretical guarantees and practical performance, yet for general combinatorial…

量子物理 · 物理学 2025-11-26 Jingheng Wang , Shengminjie Chen , Xiaoming Sun , Jialin Zhang

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

Constrained combinatorial optimization with strict linear constraints underpins applications in drug discovery, power grids, logistics, and finance, yet remains computationally demanding for classical algorithms, especially at large scales.…

量子物理 · 物理学 2026-04-07 Yajie Hao , Qiming Ding , Xiao Yuan , Xiaoting Wang

The Quantum Approximate Optimization Algorithm (QAOA) constitutes one of the often mentioned candidates expected to yield a quantum boost in the era of near-term quantum computing. In practice, quantum optimization will have to compete with…

量子物理 · 物理学 2020-10-15 Charles Moussa , Henri Calandra , Vedran Dunjko

VQE is currently one of the most widely used algorithms for optimizing problems using quantum computers. A necessary step in this algorithm is calculating the expectation value given a state, which is calculated by decomposing the…

量子物理 · 物理学 2021-06-17 Guillermo Alonso-Linaje , Parfait Atchade-Adelomou

Combinatorial optimization is anticipated to be one of the primary use cases for quantum computation in the coming years. The Quantum Approximate Optimization Algorithm (QAOA) and Quantum Annealing (QA) can potentially demonstrate…

The Quantum Approximate Optimization Algorithm (QAOA) is a hybrid quantum-classical variational algorithm designed to tackle combinatorial optimization problems. Despite its promise for near-term quantum applications, not much is currently…

量子物理 · 物理学 2020-06-26 Leo Zhou , Sheng-Tao Wang , Soonwon Choi , Hannes Pichler , Mikhail D. Lukin

We introduce a novel quantum optimization paradigm: the Fixed-Parameter-Count Quantum Approximate Optimization Algorithm (FPC-QAOA). It is a scalable variational framework that maintains a constant number of trainable parameters regardless…

In the rapidly advancing domain of quantum optimization, the confluence of quantum algorithms such as Quantum Annealing (QA) and the Quantum Approximate Optimization Algorithm (QAOA) with robust optimization methodologies presents a…

量子物理 · 物理学 2024-05-14 Pascal Halffmann , Steve Lenk , Michael Trebing

The quantum approximate optimization algorithm (QAOA) is a hybrid variational quantum-classical algorithm that solves combinatorial optimization problems. While there is evidence suggesting that the fixed form of the standard QAOA ansatz is…

Farhi et al. recently proposed a class of quantum algorithms, the Quantum Approximate Optimization Algorithm (QAOA), for approximately solving combinatorial optimization problems. A level-p QAOA circuit consists of p steps; in each step a…

量子物理 · 物理学 2021-01-01 Zhihui Wang , Stuart Hadfield , Zhang Jiang , Eleanor G. Rieffel

The Quantum Approximate Optimization Algorithm (QAOA) is a promising candidate algorithm for demonstrating quantum advantage in optimization using near-term quantum computers. However, QAOA has high requirements on gate fidelity due to the…

量子物理 · 物理学 2023-03-20 Xiaoyuan Liu , Ruslan Shaydulin , Ilya Safro