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 …

[HTML][HTML] Short-depth QAOA circuits and quantum annealing on higher-order ising models

E Pelofske, A Bärtschi, S Eidenbenz - npj Quantum Information, 2024 - nature.com
We present a direct comparison between QAOA (Quantum Alternating Operator Ansatz), and
QA (Quantum Annealing) on 127 qubit problem instances. QAOA with p= 1, 2 rounds is …

Unconstrained binary models of the travelling salesman problem variants for quantum optimization

Ö Salehi, A Glos, JA Miszczak - Quantum Information Processing, 2022 - Springer
Quantum computing is offering a novel perspective for solving combinatorial optimization
problems. To fully explore the possibilities offered by quantum computers, the problems …

[HTML][HTML] Application of quantum approximate optimization algorithm to job shop scheduling problem

K Kurowski, T Pecyna, M Slysz, R Różycki… - European Journal of …, 2023 - Elsevier
Abstract The Job Shop Scheduling Problem (JSSP) has always been considered as one of
the most complex and industry essential scheduling problems. Optimizing the makespan of …

Error mitigation for variational quantum algorithms through mid-circuit measurements

L Botelho, A Glos, A Kundu, JA Miszczak, Ö Salehi… - Physical Review A, 2022 - APS
Noisy intermediate-scale quantum algorithms require novel paradigms of error mitigation. To
obtain noise-robust quantum computers, each logical qubit is equipped with hundreds or …

Quantum pricing-based column-generation framework for hard combinatorial problems

W da Silva Coelho, L Henriet, LP Henry - Physical Review A, 2023 - APS
In this work we present a complete hybrid classical-quantum algorithm involving a quantum
sampler based on neutral-atom platforms. This approach is inspired by classical column …

Near-optimal circuit design for variational quantum optimization

B Bakó, A Glos, Ö Salehi, Z Zimborás - arXiv preprint arXiv:2209.03386, 2022 - arxiv.org
Current state-of-the-art quantum optimization algorithms require representing the original
problem as a binary optimization problem, which is then converted into an equivalent Ising …

Accelerating grover adaptive search: Qubit and gate count reduction strategies with higher-order formulations

Y Sano, K Mitarai, N Yamamoto… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Grover adaptive search (GAS) is a quantum exhaustive search algorithm designed to solve
binary optimization problems. In this article, we propose higher order binary formulations …

QAOA of the highest order

C Campbell, E Dahl - 2022 IEEE 19th International Conference …, 2022 - ieeexplore.ieee.org
The Quantum Approximate Optimization Algorithm (QAOA) has been one of the leading
candidates for near-term quantum advantage in gate-model quantum computers. From its …

Quadratic and higher-order unconstrained binary optimization of railway rescheduling for quantum computing

K Domino, A Kundu, Ö Salehi, K Krawiec - Quantum Information …, 2022 - Springer
As consequences of disruptions in railway traffic affect passenger experience and
satisfaction, appropriate rerouting and/or rescheduling is necessary. These problems are …