[HTML][HTML] The variational quantum eigensolver: a review of methods and best practices

J Tilly, H Chen, S Cao, D Picozzi, K Setia, Y Li, E Grant… - Physics Reports, 2022 - Elsevier
The variational quantum eigensolver (or VQE), first developed by Peruzzo et al.(2014), has
received significant attention from the research community in recent years. It uses the …

Noisy intermediate-scale quantum algorithms

K Bharti, A Cervera-Lierta, TH Kyaw, T Haug… - Reviews of Modern …, 2022 - APS
A universal fault-tolerant quantum computer that can efficiently solve problems such as
integer factorization and unstructured database search requires millions of qubits with low …

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 …

Theory of overparametrization in quantum neural networks

M Larocca, N Ju, D García-Martín, PJ Coles… - Nature Computational …, 2023 - nature.com
The prospect of achieving quantum advantage with quantum neural networks (QNNs) is
exciting. Understanding how QNN properties (for example, the number of parameters M) …

Limitations of optimization algorithms on noisy quantum devices

D Stilck França, R Garcia-Patron - Nature Physics, 2021 - nature.com
Recent successes in producing intermediate-scale quantum devices have focused interest
on establishing whether near-term devices could outperform classical computers for …

Exploring entanglement and optimization within the hamiltonian variational ansatz

R Wiersema, C Zhou, Y de Sereville, JF Carrasquilla… - PRX quantum, 2020 - APS
Quantum variational algorithms are one of the most promising applications of near-term
quantum computers; however, recent studies have demonstrated that unless the variational …

On barren plateaus and cost function locality in variational quantum algorithms

AV Uvarov, JD Biamonte - Journal of Physics A: Mathematical …, 2021 - iopscience.iop.org
Variational quantum algorithms rely on gradient based optimization to iteratively minimize a
cost function evaluated by measuring output (s) of a quantum processor. A barren plateau is …

Filtering variational quantum algorithms for combinatorial optimization

D Amaro, C Modica, M Rosenkranz… - Quantum Science …, 2022 - iopscience.iop.org
Current gate-based quantum computers have the potential to provide a computational
advantage if algorithms use quantum hardware efficiently. To make combinatorial …

Understanding quantum machine learning also requires rethinking generalization

E Gil-Fuster, J Eisert, C Bravo-Prieto - Nature Communications, 2024 - nature.com
Quantum machine learning models have shown successful generalization performance
even when trained with few data. In this work, through systematic randomization …

Variational quantum simulators based on waveguide QED

C Tabares, A Muñoz de Las Heras, L Tagliacozzo… - Physical review …, 2023 - APS
Waveguide QED simulators are analog quantum simulators made by quantum emitters
interacting with one-dimensional photonic band gap materials. One of their remarkable …