[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 …

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] Evaluating the evidence for exponential quantum advantage in ground-state quantum chemistry

S Lee, J Lee, H Zhai, Y Tong, AM Dalzell… - Nature …, 2023 - nature.com
Due to intense interest in the potential applications of quantum computing, it is critical to
understand the basis for potential exponential quantum advantage in quantum chemistry …

Matrix product states and projected entangled pair states: Concepts, symmetries, theorems

JI Cirac, D Perez-Garcia, N Schuch, F Verstraete - Reviews of Modern Physics, 2021 - APS
The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …

Exploiting chemistry and molecular systems for quantum information science

MR Wasielewski, MDE Forbes, NL Frank… - Nature Reviews …, 2020 - nature.com
The power of chemistry to prepare new molecules and materials has driven the quest for
new approaches to solve problems having global societal impact, such as in renewable …

Quantum chemistry in the age of quantum computing

Y Cao, J Romero, JP Olson, M Degroote… - Chemical …, 2019 - ACS Publications
Practical challenges in simulating quantum systems on classical computers have been
widely recognized in the quantum physics and quantum chemistry communities over the …

qubit-adapt-vqe: An adaptive algorithm for constructing hardware-efficient ansätze on a quantum processor

HL Tang, VO Shkolnikov, GS Barron, HR Grimsley… - PRX Quantum, 2021 - APS
Quantum simulation, one of the most promising applications of a quantum computer, is
currently being explored intensely using the variational quantum eigensolver. The feasibility …

Ab initio quantum chemistry with neural-network wavefunctions

J Hermann, J Spencer, K Choo, A Mezzacapo… - Nature Reviews …, 2023 - nature.com
Deep learning methods outperform human capabilities in pattern recognition and data
processing problems and now have an increasingly important role in scientific discovery. A …

Potential of quantum computing for drug discovery

Y Cao, J Romero… - IBM Journal of Research …, 2018 - ieeexplore.ieee.org
Quantum computing has rapidly advanced in recent years due to substantial development in
both hardware and algorithms. These advances are carrying quantum computers closer to …

[HTML][HTML] Variational ansatz-based quantum simulation of imaginary time evolution

S McArdle, T Jones, S Endo, Y Li, SC Benjamin… - npj Quantum …, 2019 - nature.com
Imaginary time evolution is a powerful tool for studying quantum systems. While it is possible
to simulate with a classical computer, the time and memory requirements generally scale …