A review on quantum approximate optimization algorithm and its variants

K Blekos, D Brand, A Ceschini, CH Chou, RH Li… - Physics Reports, 2024 - Elsevier
Abstract The Quantum Approximate Optimization Algorithm (QAOA) is a highly promising
variational quantum algorithm that aims to solve combinatorial optimization problems that …

Variational quantum algorithms

M Cerezo, A Arrasmith, R Babbush… - Nature Reviews …, 2021 - nature.com
Applications such as simulating complicated quantum systems or solving large-scale linear
algebra problems are very challenging for classical computers, owing to the extremely high …

Noise-induced barren plateaus in variational quantum algorithms

S Wang, E Fontana, M Cerezo, K Sharma… - Nature …, 2021 - nature.com
Abstract Variational Quantum Algorithms (VQAs) may be a path to quantum advantage on
Noisy Intermediate-Scale Quantum (NISQ) computers. A natural question is whether noise …

Robust data encodings for quantum classifiers

R LaRose, B Coyle - Physical Review A, 2020 - APS
Data representation is crucial for the success of machine-learning models. In the context of
quantum machine learning with near-term quantum computers, equally important …

Multi-angle quantum approximate optimization algorithm

R Herrman, PC Lotshaw, J Ostrowski, TS Humble… - Scientific Reports, 2022 - nature.com
The quantum approximate optimization algorithm (QAOA) generates an approximate
solution to combinatorial optimization problems using a variational ansatz circuit defined by …

Can error mitigation improve trainability of noisy variational quantum algorithms?

S Wang, P Czarnik, A Arrasmith, M Cerezo… - Quantum, 2024 - quantum-journal.org
Abstract Variational Quantum Algorithms (VQAs) are often viewed as the best hope for near-
term quantum advantage. However, recent studies have shown that noise can severely limit …

QAOA-in-QAOA: solving large-scale MaxCut problems on small quantum machines

Z Zhou, Y Du, X Tian, D Tao - Physical Review Applied, 2023 - APS
The design of fast algorithms for combinatorial optimization greatly contributes to a plethora
of domains such as logistics, finance, and chemistry. Quantum approximate optimization …

Random quantum circuits transform local noise into global white noise

AM Dalzell, N Hunter-Jones, FGSL Brandão - … in Mathematical Physics, 2024 - Springer
We study the distribution over measurement outcomes of noisy random quantum circuits in
the regime of low fidelity, which corresponds to the setting where the computation …

Error propagation in nisq devices for solving classical optimization problems

G González-García, R Trivedi, JI Cirac - PRX Quantum, 2022 - APS
We propose a random circuit model that attempts to capture the behavior of noisy
intermediate-scale quantum devices when used for variationally solving classical …

Graph neural network initialisation of quantum approximate optimisation

N Jain, B Coyle, E Kashefi, N Kumar - Quantum, 2022 - quantum-journal.org
Approximate combinatorial optimisation has emerged as one of the most promising
application areas for quantum computers, particularly those in the near term. In this work, we …