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 …

[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 …

A quantum computing view on unitary coupled cluster theory

A Anand, P Schleich, S Alperin-Lea… - Chemical Society …, 2022 - pubs.rsc.org
We present a review of the Unitary Coupled Cluster (UCC) ansatz and related ansätze
which are used to variationally solve the electronic structure problem on quantum …

VQE method: a short survey and recent developments

DA Fedorov, B Peng, N Govind, Y Alexeev - Materials Theory, 2022 - Springer
The variational quantum eigensolver (VQE) is a method that uses a hybrid quantum-
classical computational approach to find eigenvalues of a Hamiltonian. VQE has been …

Emerging quantum computing algorithms for quantum chemistry

M Motta, JE Rice - Wiley Interdisciplinary Reviews …, 2022 - Wiley Online Library
Digital quantum computers provide a computational framework for solving the Schrödinger
equation for a variety of many‐particle systems. Quantum computing algorithms for the …

Molecular quantum dynamics: A quantum computing perspective

PJ Ollitrault, A Miessen, I Tavernelli - Accounts of Chemical …, 2021 - ACS Publications
Conspectus Simulating molecular dynamics (MD) within a comprehensive quantum
framework has been a long-standing challenge in computational chemistry. An exponential …

Near-term quantum computing techniques: Variational quantum algorithms, error mitigation, circuit compilation, benchmarking and classical simulation

HL Huang, XY Xu, C Guo, G Tian, SJ Wei… - Science China Physics …, 2023 - Springer
Quantum computing is a game-changing technology for global academia, research centers
and industries including computational science, mathematics, finance, pharmaceutical …

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 …

Measurements as a roadblock to near-term practical quantum advantage in chemistry: Resource analysis

JF Gonthier, MD Radin, C Buda, EJ Doskocil… - Physical Review …, 2022 - APS
Recent advances in quantum computing devices have brought attention to hybrid quantum-
classical algorithms like the variational quantum eigensolver (VQE) as a potential route to …

Quantum orbital-optimized unitary coupled cluster methods in the strongly correlated regime: Can quantum algorithms outperform their classical equivalents?

IO Sokolov, PK Barkoutsos, PJ Ollitrault… - The Journal of …, 2020 - pubs.aip.org
The Coupled Cluster (CC) method is used to compute the electronic correlation energy in
atoms and molecules and often leads to highly accurate results. However, due to its single …