[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 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 …

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 …

Toward practical quantum embedding simulation of realistic chemical systems on near-term quantum computers

W Li, Z Huang, C Cao, Y Huang, Z Shuai, X Sun… - Chemical …, 2022 - pubs.rsc.org
Quantum computing has recently exhibited great potential in predicting chemical properties
for various applications in drug discovery, material design, and catalyst optimization …

Imaginary-time evolution using forward and backward real-time evolution with a single ancilla: First-quantized eigensolver algorithm for quantum chemistry

T Kosugi, Y Nishiya, H Nishi, Y Matsushita - Physical Review Research, 2022 - APS
Imaginary-time evolution (ITE) on a quantum computer is a promising formalism for
obtaining the ground state of a quantum system. The probabilistic ITE (PITE) exploits …

Quantum computation of conical intersections on a programmable superconducting quantum processor

S Zhao, D Tang, X **ao, R Wang, Q Sun… - The Journal of …, 2024 - ACS Publications
Conical intersections (CIs) are pivotal in many photochemical processes. Traditional
quantum chemistry methods, such as the state-average multiconfigurational methods, face …

Variational quantum computation of molecular linear response properties on a superconducting quantum processor

K Huang, X Cai, H Li, ZY Ge, R Hou, H Li… - The Journal of …, 2022 - ACS Publications
Simulating response properties of molecules is crucial for interpreting experimental
spectroscopies and accelerating materials design. However, it remains a long-standing …

Quantum inverse algorithm via adaptive variational quantum linear solver: applications to general eigenstates

T Yoshikura, SL Ten-No… - The Journal of Physical …, 2023 - ACS Publications
We propose a quantum inverse algorithm (QInverse) to directly determine general
eigenstates by repeatedly applying the inverse power of a shifted Hamiltonian to an arbitrary …

Hybrid quantum-classical algorithm for computing imaginary-time correlation functions

R Sakurai, W Mizukami, H Shinaoka - Physical Review Research, 2022 - APS
Quantitative descriptions of strongly correlated materials pose a considerable challenge in
condensed matter physics and chemistry. A promising approach to address this problem is …

Statistical errors in reduced density matrices sampled from quantum circuit simulation and the impact on multireference perturbation theory

S Nishio, Y Oba, Y Kurashige - Physical Chemistry Chemical Physics, 2023 - pubs.rsc.org
In this work, we present a detailed analysis of statistical errors in reduced density matrices
(RDMs) of active space wavefunctions sampled from quantum circuit simulation and the …