[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 …

Quantum error mitigation

Z Cai, R Babbush, SC Benjamin, S Endo… - Reviews of Modern …, 2023 - APS
For quantum computers to successfully solve real-world problems, it is necessary to tackle
the challenge of noise: the errors that occur in elementary physical components due to …

Quantum information processing with superconducting circuits: a review

G Wendin - Reports on Progress in Physics, 2017 - iopscience.iop.org
During the last ten years, superconducting circuits have passed from being interesting
physical devices to becoming contenders for near-future useful and scalable quantum …

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 …

Group-theoretic error mitigation enabled by classical shadows and symmetries

A Zhao, A Miyake - npj Quantum Information, 2024 - nature.com
Estimating expectation values is a key subroutine in quantum algorithms. Near-term
implementations face two major challenges: a limited number of samples required to learn a …

Simulating groundstate and dynamical quantum phase transitions on a superconducting quantum computer

J Dborin, V Wimalaweera, F Barratt, E Ostby… - Nature …, 2022 - nature.com
The phenomena of quantum criticality underlie many novel collective phenomena found in
condensed matter systems. They present a challenge for classical and quantum simulation …

Towards near-term quantum simulation of materials

L Clinton, T Cubitt, B Flynn, FM Gambetta… - Nature …, 2024 - nature.com
Determining the ground and excited state properties of materials is considered one of the
most promising applications of quantum computers. On near-term hardware, the limiting …

Dissipative ground state preparation and the dissipative quantum eigensolver

TS Cubitt - ar** condition which
converges to the ground state subspace of H. Like any ground state preparation algorithm …

Quantum computing for chemistry and physics applications from a Monte Carlo perspective

G Mazzola - The Journal of Chemical Physics, 2024 - pubs.aip.org
This Perspective focuses on the several overlaps between quantum algorithms and Monte
Carlo methods in the domains of physics and chemistry. We will analyze the challenges and …

Measuring the Loschmidt amplitude for finite-energy properties of the Fermi-Hubbard model on an ion-trap quantum computer

K Hémery, K Ghanem, E Crane, SL Campbell… - PRX Quantum, 2024 - APS
Calculating the equilibrium properties of condensed-matter systems is one of the promising
applications of near-term quantum computing. Recently, hybrid quantum-classical time …