[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 …

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 …

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 …

Absence of barren plateaus in finite local-depth circuits with long-range entanglement

HK Zhang, S Liu, SX Zhang - Physical Review Letters, 2024 - APS
Ground state preparation is classically intractable for general Hamiltonians. On quantum
devices, shallow parametrized circuits can be effectively trained to obtain short-range …

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 …

Equivalence of quantum barren plateaus to cost concentration and narrow gorges

A Arrasmith, Z Holmes, M Cerezo… - Quantum Science and …, 2022 - iopscience.iop.org
Optimizing parameterized quantum circuits (PQCs) is the leading approach to make use of
near-term quantum computers. However, very little is known about the cost function …

Real-and imaginary-time evolution with compressed quantum circuits

SH Lin, R Dilip, AG Green, A Smith, F Pollmann - PRX Quantum, 2021 - APS
The current generation of noisy intermediate-scale quantum computers introduces new
opportunities to study quantum many-body systems. In this paper, we show that quantum …

General parameter-shift rules for quantum gradients

D Wierichs, J Izaac, C Wang, CYY Lin - Quantum, 2022 - quantum-journal.org
Variational quantum algorithms are ubiquitous in applications of noisy intermediate-scale
quantum computers. Due to the structure of conventional parametrized quantum gates, the …

Performance comparison of optimization methods on variational quantum algorithms

X Bonet-Monroig, H Wang, D Vermetten, B Senjean… - Physical Review A, 2023 - APS
Variational quantum algorithms (VQAs) offer a promising path toward using near-term
quantum hardware for applications in academic and industrial research. These algorithms …