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 …

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 …

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 …

Layer VQE: A variational approach for combinatorial optimization on noisy quantum computers

X Liu, A Angone, R Shaydulin, I Safro… - IEEE Transactions …, 2022 - ieeexplore.ieee.org
Combinatorial optimization on near-term quantum devices is a promising path to
demonstrating quantum advantage. However, the capabilities of these devices are …

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 …

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 …

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 …

Circuit compilation methodologies for quantum approximate optimization algorithm

M Alam, A Ash-Saki, S Ghosh - 2020 53rd Annual IEEE/ACM …, 2020 - ieeexplore.ieee.org
The quantum approximate optimization algorithm (QAOA) is a promising quantum-classical
hybrid algorithm to solve hard combinatorial optimization problems. The multi-qubit …