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 …

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 …

The power of quantum neural networks

A Abbas, D Sutter, C Zoufal, A Lucchi, A Figalli… - Nature Computational …, 2021 - nature.com
It is unknown whether near-term quantum computers are advantageous for machine
learning tasks. In this work we address this question by trying to understand how powerful …

Generalization in quantum machine learning from few training data

MC Caro, HY Huang, M Cerezo, K Sharma… - Nature …, 2022 - nature.com
Modern quantum machine learning (QML) methods involve variationally optimizing a
parameterized quantum circuit on a training data set, and subsequently making predictions …

Barren plateaus in quantum neural network training landscapes

JR McClean, S Boixo, VN Smelyanskiy… - Nature …, 2018 - nature.com
Many experimental proposals for noisy intermediate scale quantum devices involve training
a parameterized quantum circuit with a classical optimization loop. Such hybrid quantum …

Supervised learning with quantum-enhanced feature spaces

V Havlíček, AD Córcoles, K Temme, AW Harrow… - Nature, 2019 - nature.com
Abstract Machine learning and quantum computing are two technologies that each have the
potential to alter how computation is performed to address previously untenable problems …

Connecting ansatz expressibility to gradient magnitudes and barren plateaus

Z Holmes, K Sharma, M Cerezo, PJ Coles - PRX Quantum, 2022 - APS
Parametrized quantum circuits serve as ansatze for solving variational problems and
provide a flexible paradigm for the programming of near-term quantum computers. Ideally …

Quantum chemistry in the age of quantum computing

Y Cao, J Romero, JP Olson, M Degroote… - Chemical …, 2019 - ACS Publications
Practical challenges in simulating quantum systems on classical computers have been
widely recognized in the quantum physics and quantum chemistry communities over the …

Cost function dependent barren plateaus in shallow parametrized quantum circuits

M Cerezo, A Sone, T Volkoff, L Cincio… - Nature communications, 2021 - nature.com
Variational quantum algorithms (VQAs) optimize the parameters θ of a parametrized
quantum circuit V (θ) to minimize a cost function C. While VQAs may enable practical …

Quantum computational chemistry

S McArdle, S Endo, A Aspuru-Guzik, SC Benjamin… - Reviews of Modern …, 2020 - APS
One of the most promising suggested applications of quantum computing is solving
classically intractable chemistry problems. This may help to answer unresolved questions …