[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 …

Near-term quantum computing techniques: Variational quantum algorithms, error mitigation, circuit compilation, benchmarking and classical simulation

HL Huang, XY Xu, C Guo, G Tian, SJ Wei… - Science China Physics …, 2023 - Springer
Quantum computing is a game-changing technology for global academia, research centers
and industries including computational science, mathematics, finance, pharmaceutical …

Training variational quantum algorithms is NP-hard

L Bittel, M Kliesch - Physical review letters, 2021 - APS
Variational quantum algorithms are proposed to solve relevant computational problems on
near term quantum devices. Popular versions are variational quantum eigensolvers and …

Exploiting symmetry in variational quantum machine learning

JJ Meyer, M Mularski, E Gil-Fuster, AA Mele, F Arzani… - PRX Quantum, 2023 - APS
Variational quantum machine learning is an extensively studied application of near-term
quantum computers. The success of variational quantum learning models crucially depends …

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) …

Tensorflow quantum: A software framework for quantum machine learning

M Broughton, G Verdon, T McCourt, AJ Martinez… - ar** of
hybrid quantum-classical models for classical or quantum data. This framework offers high …

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 …

Recurrent quantum neural networks

J Bausch - Advances in neural information processing …, 2020 - proceedings.neurips.cc
Recurrent neural networks are the foundation of many sequence-to-sequence models in
machine learning, such as machine translation and speech synthesis. With applied quantum …

SU (2) hadrons on a quantum computer via a variational approach

YY Atas, J Zhang, R Lewis, A Jahanpour… - Nature …, 2021 - nature.com
Quantum computers have the potential to create important new opportunities for ongoing
essential research on gauge theories. They can provide simulations that are unattainable on …

Estimating the gradient and higher-order derivatives on quantum hardware

A Mari, TR Bromley, N Killoran - Physical Review A, 2021 - APS
For a large class of variational quantum circuits, we show how arbitrary-order derivatives
can be analytically evaluated in terms of simple parameter-shift rules, ie, by running the …