[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 …

Quantum machine learning: from physics to software engineering

A Melnikov, M Kordzanganeh, A Alodjants… - Advances in Physics …, 2023 - Taylor & Francis
Quantum machine learning is a rapidly growing field at the intersection of quantum
technology and artificial intelligence. This review provides a two-fold overview of several key …

Parameterized quantum circuits as machine learning models

M Benedetti, E Lloyd, S Sack… - Quantum Science and …, 2019 - iopscience.iop.org
Hybrid quantum–classical systems make it possible to utilize existing quantum computers to
their fullest extent. Within this framework, parameterized quantum circuits can be regarded …

Layerwise learning for quantum neural networks

A Skolik, JR McClean, M Mohseni… - Quantum Machine …, 2021 - Springer
With the increased focus on quantum circuit learning for near-term applications on quantum
devices, in conjunction with unique challenges presented by cost function landscapes of …

Continuous-variable quantum neural networks

N Killoran, TR Bromley, JM Arrazola, M Schuld… - Physical Review …, 2019 - APS
We introduce a general method for building neural networks on quantum computers. The
quantum neural network is a variational quantum circuit built in the continuous-variable (CV) …

Solving nonlinear differential equations with differentiable quantum circuits

O Kyriienko, AE Paine, VE Elfving - Physical Review A, 2021 - APS
We propose a quantum algorithm to solve systems of nonlinear differential equations. Using
a quantum feature map encoding, we define functions as expectation values of parametrized …

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 …

Learning to learn with quantum neural networks via classical neural networks

G Verdon, M Broughton, JR McClean, KJ Sung… - arxiv preprint arxiv …, 2019 - arxiv.org
Quantum Neural Networks (QNNs) are a promising variational learning paradigm with
applications to near-term quantum processors, however they still face some significant …