[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 …

Predicting many properties of a quantum system from very few measurements

HY Huang, R Kueng, J Preskill - Nature Physics, 2020 - nature.com
Predicting the properties of complex, large-scale quantum systems is essential for
develo** quantum technologies. We present an efficient method for constructing an …

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 …

Standard model physics and the digital quantum revolution: thoughts about the interface

N Klco, A Roggero, MJ Savage - Reports on Progress in Physics, 2022 - iopscience.iop.org
Advances in isolating, controlling and entangling quantum systems are transforming what
was once a curious feature of quantum mechanics into a vehicle for disruptive scientific and …

Realizing quantum convolutional neural networks on a superconducting quantum processor to recognize quantum phases

J Herrmann, SM Llima, A Remm, P Zapletal… - Nature …, 2022 - nature.com
Quantum computing crucially relies on the ability to efficiently characterize the quantum
states output by quantum hardware. Conventional methods which probe these states …

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 …

Variational quantum algorithm for the Poisson equation

HL Liu, YS Wu, LC Wan, SJ Pan, SJ Qin, F Gao… - Physical Review A, 2021 - APS
The Poisson equation has wide applications in many areas of science and engineering.
Although there are some quantum algorithms that can efficiently solve the Poisson equation …

Search for efficient formulations for Hamiltonian simulation of non-Abelian lattice gauge theories

Z Davoudi, I Raychowdhury, A Shaw - Physical Review D, 2021 - APS
Hamiltonian formulation of lattice gauge theories (LGTs) is the most natural framework for
the purpose of quantum simulation, an area of research that is growing with advances in …

Triply efficient shadow tomography

R King, D Gosset, R Kothari, R Babbush - … of the 2025 Annual ACM-SIAM …, 2025 - SIAM
Given copies of a quantum state ρ, a shadow tomography protocol aims to learn all
expectation values from a fixed set of observables, to within a given precision ε. We say that …