[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 …

A quantum computing view on unitary coupled cluster theory

A Anand, P Schleich, S Alperin-Lea… - Chemical Society …, 2022 - pubs.rsc.org
We present a review of the Unitary Coupled Cluster (UCC) ansatz and related ansätze
which are used to variationally solve the electronic structure problem on quantum …

Solving nonlinear differential equations with differentiable quantum circuits

O Kyriienko, AE Paine, VE Elfving - Physical Review A, 2021 - APS
We propose a quantum algorithm to solve systems of nonlinear differential equations. Using
a quantum feature map encoding, we define functions as expectation values of parametrized …

Near-term quantum computing techniques: Variational quantum algorithms, error mitigation, circuit compilation, benchmarking and classical simulation

HL Huang, XY Xu, C Guo, G Tian, SJ Wei… - Science China Physics …, 2023 - Springer
Quantum computing is a game-changing technology for global academia, research centers
and industries including computational science, mathematics, finance, pharmaceutical …

Tequila: A platform for rapid development of quantum algorithms

JS Kottmann, S Alperin-Lea… - Quantum Science …, 2021 - iopscience.iop.org
Variational quantum algorithms are currently the most promising class of algorithms for
deployment on near-term quantum computers. In contrast to classical algorithms, there are …

Reduced density matrix sampling: Self-consistent embedding and multiscale electronic structure on current generation quantum computers

J Tilly, PV Sriluckshmy, A Patel, E Fontana… - Physical Review …, 2021 - APS
We investigate fully self-consistent multiscale quantum-classical algorithms on current
generation superconducting quantum computers, in a unified approach to tackle the …

Quantum computing with and for many-body physics

T Ayral, P Besserve, D Lacroix… - The European Physical …, 2023 - Springer
Quantum computing technologies are making steady progress. This has opened new
opportunities for tackling problems whose complexity prevents their description on classical …

Self-Consistent Field Approach for the Variational Quantum Eigensolver: Orbital Optimization Goes Adaptive

A Fitzpatrick, A Nykanen, NW Talarico… - The Journal of …, 2024 - ACS Publications
We present a self-consistent field (SCF) approach within the adaptive derivative-assembled
problem-tailored ansatz variational quantum eigensolver (ADAPT-VQE) framework for …

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 …