[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 …

Does provable absence of barren plateaus imply classical simulability? or, why we need to rethink variational quantum computing

M Cerezo, M Larocca, D García-Martín, NL Diaz… - arxiv preprint arxiv …, 2023‏ - arxiv.org
A large amount of effort has recently been put into understanding the barren plateau
phenomenon. In this perspective article, we face the increasingly loud elephant in the room …

Quantum variational algorithms are swamped with traps

ER Anschuetz, BT Kiani - Nature Communications, 2022‏ - nature.com
One of the most important properties of classical neural networks is how surprisingly
trainable they are, though their training algorithms typically rely on optimizing complicated …

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 …

Is quantum advantage the right goal for quantum machine learning?

M Schuld, N Killoran - Prx Quantum, 2022‏ - APS
Machine learning is frequently listed among the most promising applications for quantum
computing. This is in fact a curious choice: the machine-learning algorithms of today are …

Hybrid quantum–classical generative adversarial networks for image generation via learning discrete distribution

NR Zhou, TF Zhang, XW **e, JY Wu - Signal Processing: Image …, 2023‏ - Elsevier
It has been reported that quantum generative adversarial networks have a potential
exponential advantage over classical generative adversarial networks. However, quantum …

Quantum convolutional neural network for classical data classification

T Hur, L Kim, DK Park - Quantum Machine Intelligence, 2022‏ - Springer
With the rapid advance of quantum machine learning, several proposals for the quantum-
analogue of convolutional neural network (CNN) have emerged. In this work, we benchmark …

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 …

Synergistic pretraining of parametrized quantum circuits via tensor networks

MS Rudolph, J Miller, D Motlagh, J Chen… - Nature …, 2023‏ - nature.com
Parametrized quantum circuits (PQCs) represent a promising framework for using present-
day quantum hardware to solve diverse problems in materials science, quantum chemistry …