[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 information and algorithms for correlated quantum matter

K Head-Marsden, J Flick, CJ Ciccarino… - Chemical …, 2020 - ACS Publications
Discoveries in quantum materials, which are characterized by the strongly quantum-
mechanical nature of electrons and atoms, have revealed exotic properties that arise from …

Quantum-centric supercomputing for materials science: A perspective on challenges and future directions

Y Alexeev, M Amsler, MA Barroca, S Bassini… - Future Generation …, 2024 - Elsevier
Computational models are an essential tool for the design, characterization, and discovery
of novel materials. Computationally hard tasks in materials science stretch the limits of …

Hardware-efficient variational quantum algorithms for time evolution

M Benedetti, M Fiorentini, M Lubasch - Physical Review Research, 2021 - APS
Parameterized quantum circuits are a promising technology for achieving a quantum
advantage. An important application is the variational simulation of time evolution of …

Programmable quantum simulations of spin systems with trapped ions

C Monroe, WC Campbell, LM Duan, ZX Gong… - Reviews of Modern …, 2021 - APS
Laser-cooled and trapped atomic ions form an ideal standard for the simulation of interacting
quantum spin models. Effective spins are represented by appropriate internal energy levels …

Quantum simulations of materials on near-term quantum computers

H Ma, M Govoni, G Galli - npj Computational Materials, 2020 - nature.com
Quantum computers hold promise to enable efficient simulations of the properties of
molecules and materials; however, at present they only permit ab initio calculations of a few …

Evaluating the noise resilience of variational quantum algorithms

E Fontana, N Fitzpatrick, DM Ramo, R Duncan… - Physical Review A, 2021 - APS
We simulate the effects of different types of noise in state preparation circuits of variational
quantum algorithms. We first use a variational quantum eigensolver to find the ground state …

Reduced density matrix sampling: Self-consistent embedding and multiscale electronic structure on current generation quantum computers

J Tilly, PV Sriluckshmy, A Patel, E Fontana… - Physical Review …, 2021 - APS
We investigate fully self-consistent multiscale quantum-classical algorithms on current
generation superconducting quantum computers, in a unified approach to tackle the …

Symmetry-adapted variational quantum eigensolver

K Seki, T Shirakawa, S Yunoki - Physical Review A, 2020 - APS
We propose a scheme to restore spatial symmetry of Hamiltonian in the variational-quantum-
eigensolver (VQE) algorithm for which the quantum circuit structures used usually break the …

Quantum computing with and for many-body physics

T Ayral, P Besserve, D Lacroix… - The European Physical …, 2023 - Springer
Quantum computing technologies are making steady progress. This has opened new
opportunities for tackling problems whose complexity prevents their description on classical …