[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 …

Quantum algorithms for quantum chemistry and quantum materials science

B Bauer, S Bravyi, M Motta, GKL Chan - Chemical Reviews, 2020 - ACS Publications
As we begin to reach the limits of classical computing, quantum computing has emerged as
a technology that has captured the imagination of the scientific world. While for many years …

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 …

Quantum computational chemistry

S McArdle, S Endo, A Aspuru-Guzik, SC Benjamin… - Reviews of Modern …, 2020 - APS
One of the most promising suggested applications of quantum computing is solving
classically intractable chemistry problems. This may help to answer unresolved questions …

Quantum algorithms for quantum dynamics

A Miessen, PJ Ollitrault, F Tacchino… - Nature Computational …, 2023 - nature.com
Among the many computational challenges faced across different disciplines, quantum-
mechanical systems pose some of the hardest ones and offer a natural playground for the …

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 …

Biology and medicine in the landscape of quantum advantages

BA Cordier, NPD Sawaya… - Journal of the …, 2022 - royalsocietypublishing.org
Quantum computing holds substantial potential for applications in biology and medicine,
spanning from the simulation of biomolecules to machine learning methods for subty** …

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 …

Nearly optimal measurement scheduling for partial tomography of quantum states

X Bonet-Monroig, R Babbush, TE O'Brien - Physical Review X, 2020 - APS
Many applications of quantum simulation require one to prepare and then characterize
quantum states by efficiently estimating k-body reduced density matrices (k-RDMs), from …