[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 …

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 …

Noise-induced barren plateaus in variational quantum algorithms

S Wang, E Fontana, M Cerezo, K Sharma… - Nature …, 2021 - nature.com
Abstract Variational Quantum Algorithms (VQAs) may be a path to quantum advantage on
Noisy Intermediate-Scale Quantum (NISQ) computers. A natural question is whether noise …

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 …

Reinforcement learning for optimization of variational quantum circuit architectures

M Ostaszewski, LM Trenkwalder… - Advances in …, 2021 - proceedings.neurips.cc
Abstract The study of Variational Quantum Eigensolvers (VQEs) has been in the spotlight in
recent times as they may lead to real-world applications of near-term quantum devices …

Genetic algorithms as classical optimizer for the quantum approximate optimization algorithm

G Acampora, A Chiatto, A Vitiello - Applied Soft Computing, 2023 - Elsevier
Optimization is one of the research areas where quantum computing could bring significant
benefits. In this scenario, a hybrid quantum–classical variational algorithm, the Quantum …

Higher order derivatives of quantum neural networks with barren plateaus

M Cerezo, PJ Coles - Quantum Science and Technology, 2021 - iopscience.iop.org
Quantum neural networks (QNNs) offer a powerful paradigm for programming near-term
quantum computers and have the potential to speed up applications ranging from data …

Recent advances for quantum classifiers

W Li, DL Deng - Science China Physics, Mechanics & Astronomy, 2022 - Springer
Abstract Machine learning has achieved dramatic success in a broad spectrum of
applications. Its interplay with quantum physics may lead to unprecedented perspectives for …

Differentiable quantum architecture search

SX Zhang, CY Hsieh, S Zhang… - Quantum Science and …, 2022 - iopscience.iop.org
Quantum architecture search (QAS) is the process of automating architecture engineering of
quantum circuits. It has been desired to construct a powerful and general QAS platform …

Recent advances for quantum neural networks in generative learning

J Tian, X Sun, Y Du, S Zhao, Q Liu… - … on Pattern Analysis …, 2023 - ieeexplore.ieee.org
Quantum computers are next-generation devices that hold promise to perform calculations
beyond the reach of classical computers. A leading method towards achieving this goal is …