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 …

Challenges and opportunities in quantum optimization

A Abbas, A Ambainis, B Augustino, A Bärtschi… - Nature Reviews …, 2024 - nature.com
Quantum computers have demonstrable ability to solve problems at a scale beyond brute-
force classical simulation. Interest in quantum algorithms has developed in many areas …

Quantum optimization of maximum independent set using Rydberg atom arrays

S Ebadi, A Keesling, M Cain, TT Wang, H Levine… - Science, 2022 - science.org
Realizing quantum speedup for practically relevant, computationally hard problems is a
central challenge in quantum information science. Using Rydberg atom arrays with up to …

Evidence of scaling advantage for the quantum approximate optimization algorithm on a classically intractable problem

R Shaydulin, C Li, S Chakrabarti, M DeCross… - Science …, 2024 - science.org
The quantum approximate optimization algorithm (QAOA) is a leading candidate algorithm
for solving optimization problems on quantum computers. However, the potential of QAOA to …

Limitations of variational quantum algorithms: a quantum optimal transport approach

G De Palma, M Marvian, C Rouzé, DS França - PRX Quantum, 2023 - APS
The impressive progress in quantum hardware of the last years has raised the interest of the
quantum computing community in harvesting the computational power of such devices …

The quantum approximate optimization algorithm at high depth for maxcut on large-girth regular graphs and the sherrington-kirkpatrick model

J Basso, E Farhi, K Marwaha, B Villalonga… - arXiv preprint arXiv …, 2021 - arxiv.org
The Quantum Approximate Optimization Algorithm (QAOA) finds approximate solutions to
combinatorial optimization problems. Its performance monotonically improves with its depth …

Trainability enhancement of parameterized quantum circuits via reduced-domain parameter initialization

Y Wang, B Qi, C Ferrie, D Dong - Physical Review Applied, 2024 - APS
Parameterized quantum circuits (PQCs) have been widely used as a machine learning
model to explore the potential of achieving quantum advantages for various tasks. However …

NISQ computers: a path to quantum supremacy

M AbuGhanem, H Eleuch - IEEE Access, 2024 - ieeexplore.ieee.org
The quest for quantum advantage, wherein quantum computers surpass the computational
capabilities of classical computers executing state-of-the-art algorithms on well-defined …

Performance and limitations of the QAOA at constant levels on large sparse hypergraphs and spin glass models

J Basso, D Gamarnik, S Mei… - 2022 IEEE 63rd Annual …, 2022 - ieeexplore.ieee.org
The Quantum Approximate Optimization Algorithm (QAOA) is a general purpose quantum
algorithm designed for combinatorial optimization. We analyze its expected performance …

Recursive greedy initialization of the quantum approximate optimization algorithm with guaranteed improvement

SH Sack, RA Medina, R Kueng, M Serbyn - Physical Review A, 2023 - APS
The quantum approximate optimization algorithm (QAOA) is a variational quantum
algorithm, where a quantum computer implements a variational ansatz consisting of p layers …