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 …

Hybrid quantum-classical algorithms in the noisy intermediate-scale quantum era and beyond

A Callison, N Chancellor - Physical Review A, 2022 - APS
Hybrid quantum-classical algorithms are central to much of the current research in quantum
computing, particularly when considering the noisy intermediate-scale quantum (NISQ) era …

Energetic perspective on rapid quenches in quantum annealing

A Callison, M Festenstein, J Chen, L Nita, V Kendon… - PRX Quantum, 2021 - APS
There are well-developed theoretical tools to analyze how quantum dynamics can solve
computational problems by varying Hamiltonian parameters slowly, near the adiabatic limit …

Applying the quantum approximate optimization algorithm to the tail-assignment problem

P Vikstål, M Grönkvist, M Svensson, M Andersson… - Physical Review …, 2020 - APS
Airlines today are faced with a number of large-scale scheduling problems. One such
problem is the tail-assignment problem, which is the task of assigning individual aircraft to a …

Improved success probability with greater circuit depth for the quantum approximate optimization algorithm

A Bengtsson, P Vikstål, C Warren, M Svensson, X Gu… - Physical Review …, 2020 - APS
Present-day, noisy, small or intermediate-scale quantum processors—although far from fault
tolerant—support the execution of heuristic quantum algorithms, which might enable a …

Programmable quantum annealing architectures with Ising quantum wires

X Qiu, P Zoller, X Li - PRX Quantum, 2020 - APS
Quantum annealing aims at solving optimization problems efficiently by preparing the
ground state of an Ising spin-Hamiltonian quantum mechanically. A prerequisite of building …

Performance of domain-wall encoding for quantum annealing

J Chen, T Stollenwerk… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
In this article, we experimentally test the performance of the recently proposed domain-wall
encoding of discrete variables Chancellor, 2019, on Ising model flux qubit quantum …

Applying the quantum approximate optimization algorithm to the minimum vertex cover problem

YJ Zhang, XD Mu, XW Liu, XY Wang, X Zhang, K Li… - Applied Soft …, 2022 - Elsevier
The minimum vertex cover problem belongs to a NP-complete problem, which is difficult to
obtain the near-optimal solution in the polynomial time range using classical algorithms. In …

Power system fault diagnosis with quantum computing and efficient gate decomposition

X Fei, H Zhao, X Zhou, J Zhao, T Shu, F Wen - Scientific reports, 2024 - nature.com
Power system fault diagnosis is crucial for identifying the location and causes of faults and
providing decision-making support for power dispatchers. However, most classical methods …

Quantum tunneling and quantum walks as algorithmic resources to solve hard K-SAT instances

E Campos, SE Venegas-Andraca, M Lanzagorta - Scientific Reports, 2021 - nature.com
We present a new quantum heuristic algorithm aimed at finding satisfying assignments for
hard K-SAT instances using a continuous time quantum walk that explicitly exploits the …