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 …

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 …

[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 …

[HTML][HTML] Scaling whole-chip QAOA for higher-order Ising spin glass models on heavy-hex graphs

E Pelofske, A Bärtschi, L Cincio, J Golden… - npj Quantum …, 2024 - nature.com
We show that the quantum approximate optimization algorithm (QAOA) for higher-order,
random coefficient, heavy-hex compatible spin glass Ising models has strong parameter …

Short-depth circuits for Dicke state preparation

A Bärtschi, S Eidenbenz - 2022 IEEE International Conference …, 2022 - ieeexplore.ieee.org
We present short-depth quantum circuits to deterministically prepare any Dicke state
\left|D_k^n\right⟩, which is the equal-amplitude superposition of all n-qubit computational …

Constrained optimization via quantum zeno dynamics

D Herman, R Shaydulin, Y Sun, S Chakrabarti… - Communications …, 2023 - nature.com
Constrained optimization problems are ubiquitous in science and industry. Quantum
algorithms have shown promise in solving optimization problems, yet none of the current …

A divide-and-conquer approach to Dicke state preparation

S Aktar, A Bärtschi, AHA Badawy… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
We present a divide-and-conquer approach to deterministically prepare Dicke states (ie,
equal-weight superpositions of all-qubit states with Hamming weight) on quantum …

The quantum alternating operator ansatz for satisfiability problems

J Golden, A Bärtschi, D O'Malley… - … and Engineering (QCE …, 2023 - ieeexplore.ieee.org
We comparatively study, through large-scale numerical simulation, the performance across
a large set of Quantum Alternating Operator Ansatz (QAOA) implementations for finding …

Numerical evidence for exponential speed-up of qaoa over unstructured search for approximate constrained optimization

J Golden, A Bärtschi, D O'Malley… - … and Engineering (QCE …, 2023 - ieeexplore.ieee.org
Despite much recent work, the true promise and limitations of the Quantum Alternating
Operator Ansatz (QAOA)[30] are unclear. A critical question regarding QAOA is to what …

Quantum approximate optimization: A computational intelligence perspective

CM Keller, S Misra, A Bärtschi, S Eidenbenz - arxiv preprint arxiv …, 2024 - arxiv.org
Quantum computing is an emerging field on the multidisciplinary interface between physics,
engineering, and computer science with the potential to make a large impact on …