[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 …

Benchmarking quantum computers

T Proctor, K Young, AD Baczewski… - Nature Reviews …, 2025 - nature.com
The rapid pace of development in quantum computing technology has sparked a
proliferation of benchmarks to assess the performance of quantum computing hardware and …

[BOK][B] Quantum computing: an applied approach

JD Hidary, JD Hidary - 2019 - Springer
Our world, of course, changed in many other ways as well since the publication of the first
edition. The global pandemic impacted all areas of society and will probably transform how …

Fault-tolerant resource estimate for quantum chemical simulations: Case study on Li-ion battery electrolyte molecules

IH Kim, YH Liu, S Pallister, W Pol, S Roberts… - Physical Review …, 2022 - APS
We estimate the resources required in the fusion-based quantum computing scheme to
simulate electrolyte molecules in Li-ion batteries on a fault-tolerant, photonic quantum …

Fault-tolerant quantum simulation of materials using Bloch orbitals

NC Rubin, DW Berry, FD Malone, AF White, T Khattar… - PRX Quantum, 2023 - APS
The simulation of chemistry is among the most promising applications of quantum
computing. However, most prior work exploring algorithms for block encoding, time evolving …

Simulating key properties of lithium-ion batteries with a fault-tolerant quantum computer

A Delgado, PAM Casares, R Dos Reis, MS Zini… - Physical Review A, 2022 - APS
There is a pressing need to develop new rechargeable battery technologies that can offer
higher energy storage, faster charging, and lower costs. Despite the success of existing …

Exact and efficient Lanczos method on a quantum computer

W Kirby, M Motta, A Mezzacapo - Quantum, 2023 - quantum-journal.org
We present an algorithm that uses block encoding on a quantum computer to exactly
construct a Krylov space, which can be used as the basis for the Lanczos method to estimate …

Quantum simulation of exact electron dynamics can be more efficient than classical mean-field methods

R Babbush, WJ Huggins, DW Berry, SF Ung… - Nature …, 2023 - nature.com
Quantum algorithms for simulating electronic ground states are slower than popular
classical mean-field algorithms such as Hartree–Fock and density functional theory but offer …

Quantum computation of stop** power for inertial fusion target design

NC Rubin, DW Berry, A Kononov… - Proceedings of the …, 2024 - National Acad Sciences
Stop** power is the rate at which a material absorbs the kinetic energy of a charged
particle passing through it—one of many properties needed over a wide range of …

Grid-based methods for chemistry simulations on a quantum computer

HHS Chan, R Meister, T Jones, DP Tew… - Science …, 2023 - science.org
First-quantized, grid-based methods for chemistry modeling are a natural and elegant fit for
quantum computers. However, it is infeasible to use today's quantum prototypes to explore …