[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 …

Perspective on the current state-of-the-art of quantum computing for drug discovery applications

NS Blunt, J Camps, O Crawford, R Izsák… - Journal of Chemical …, 2022 - ACS Publications
Computational chemistry is an essential tool in the pharmaceutical industry. Quantum
computing is a fast evolving technology that promises to completely shift the computational …

Information-theoretic bounds on quantum advantage in machine learning

HY Huang, R Kueng, J Preskill - Physical Review Letters, 2021 - APS
We study the performance of classical and quantum machine learning (ML) models in
predicting outcomes of physical experiments. The experiments depend on an input …

[HTML][HTML] Quantum natural gradient

J Stokes, J Izaac, N Killoran, G Carleo - Quantum, 2020 - quantum-journal.org
A quantum generalization of Natural Gradient Descent is presented as part of a general-
purpose optimization framework for variational quantum circuits. The optimization dynamics …

Exponential error suppression for near-term quantum devices

B Koczor - Physical Review X, 2021 - APS
Suppressing noise in physical systems is of fundamental importance. As quantum
computers mature, quantum error correcting codes (QECs) will be adopted in order to …

Efficient estimation of pauli observables by derandomization

HY Huang, R Kueng, J Preskill - Physical review letters, 2021 - APS
We consider the problem of jointly estimating expectation values of many Pauli observables,
a crucial subroutine in variational quantum algorithms. Starting with randomized …

Purification-based quantum error mitigation of pair-correlated electron simulations

TE O'Brien, G Anselmetti, F Gkritsis, VE Elfving… - Nature Physics, 2023 - nature.com
An important measure of the development of quantum computing platforms has been the
simulation of increasingly complex physical systems. Before fault-tolerant quantum …

Exponential separations between learning with and without quantum memory

S Chen, J Cotler, HY Huang, J Li - 2021 IEEE 62nd Annual …, 2022 - ieeexplore.ieee.org
We study the power of quantum memory for learning properties of quantum systems and
dynamics, which is of great importance in physics and chemistry. Many state-of-the-art …

Fermionic partial tomography via classical shadows

A Zhao, NC Rubin, A Miyake - Physical Review Letters, 2021 - APS
We propose a tomographic protocol for estimating any k-body reduced density matrix (k-
RDM) of an n-mode fermionic state, a ubiquitous step in near-term quantum algorithms for …