[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 on near-term quantum devices: Current state of supervised and unsupervised techniques for real-world applications

Y Gujju, A Matsuo, R Raymond - Physical Review Applied, 2024 - APS
The past decade has witnessed significant advancements in quantum hardware,
encompassing improvements in speed, qubit quantity, and quantum volume—a metric …

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) …

Avoiding barren plateaus using classical shadows

SH Sack, RA Medina, AA Michailidis, R Kueng… - PRX Quantum, 2022 - APS
Variational quantum algorithms are promising algorithms for achieving quantum advantage
on near-term devices. The quantum hardware is used to implement a variational wave …

On quantum backpropagation, information reuse, and cheating measurement collapse

A Abbas, R King, HY Huang… - Advances in …, 2024 - proceedings.neurips.cc
The success of modern deep learning hinges on the ability to train neural networks at scale.
Through clever reuse of intermediate information, backpropagation facilitates training …

Scaling of the quantum approximate optimization algorithm on superconducting qubit based hardware

J Weidenfeller, LC Valor, J Gacon, C Tornow… - Quantum, 2022 - quantum-journal.org
Quantum computers may provide good solutions to combinatorial optimization problems by
leveraging the Quantum Approximate Optimization Algorithm (QAOA). The QAOA is often …

Capacity and quantum geometry of parametrized quantum circuits

T Haug, K Bharti, MS Kim - PRX Quantum, 2021 - APS
To harness the potential of noisy intermediate-scale quantum devices, it is paramount to find
the best type of circuits to run hybrid quantum-classical algorithms. Key candidates are …

Quantum computing of the nucleus via ordered unitary coupled clusters

O Kiss, M Grossi, P Lougovski, F Sanchez… - Physical Review C, 2022 - APS
The variational quantum eigensolver (VQE) is an algorithm to compute ground and excited
state energy of quantum many-body systems. A key component of the algorithm and an …

Learnability of quantum neural networks

Y Du, MH Hsieh, T Liu, S You, D Tao - PRX quantum, 2021 - APS
Quantum neural network (QNN), or equivalently, the parameterized quantum circuit (PQC)
with a gradient-based classical optimizer, has been broadly applied to many experimental …

Matrix-model simulations using quantum computing, deep learning, and lattice monte carlo

E Rinaldi, X Han, M Hassan, Y Feng, F Nori… - PRX Quantum, 2022 - APS
Matrix quantum mechanics plays various important roles in theoretical physics, such as a
holographic description of quantum black holes, and it underpins the only practical …