Variational quantum eigensolvers for sparse Hamiltonians

WM Kirby, PJ Love - Physical review letters, 2021 - APS
Hybrid quantum-classical variational algorithms such as the variational quantum
eigensolver (VQE) and the quantum approximate optimization algorithm (QAOA) are …

Measurement-based variational quantum eigensolver

RR Ferguson, L Dellantonio, AA Balushi, K Jansen… - Physical review …, 2021 - APS
Variational quantum eigensolvers (VQEs) combine classical optimization with efficient cost
function evaluations on quantum computers. We propose a new approach to VQEs using the …

Addressing hard classical problems with adiabatically assisted variational quantum eigensolvers

A Garcia-Saez, JI Latorre - arXiv preprint arXiv:1806.02287, 2018 - arxiv.org
We present a hybrid classical-quantum algorithm to solve optimization problems in current
quantum computers, whose basic idea is to assist variational quantum eigensolvers (VQE) …

Collective optimization for variational quantum eigensolvers

DB Zhang, T Yin - Physical Review A, 2020 - APS
A variational quantum eigensolver (VQE) optimizes parametrized eigenstates of a
Hamiltonian on a quantum processor by updating parameters with a classical computer …

A non-orthogonal variational quantum eigensolver

WJ Huggins, J Lee, U Baek, B O'Gorman… - New Journal of …, 2020 - iopscience.iop.org
Variational algorithms for strongly correlated chemical and materials systems are one of the
most promising applications of near-term quantum computers. We present an extension to …

Variational quantum state eigensolver

M Cerezo, K Sharma, A Arrasmith, PJ Coles - npj Quantum Information, 2022 - nature.com
Extracting eigenvalues and eigenvectors of exponentially large matrices will be an important
application of near-term quantum computers. The variational quantum eigensolver (VQE) …

Improving the variational quantum eigensolver using variational adiabatic quantum computing

SM Harwood, D Trenev, ST Stober… - ACM Transactions on …, 2022 - dl.acm.org
The variational quantum eigensolver (VQE) is a hybrid quantum-classical algorithm for
finding the minimum eigenvalue of a Hamiltonian that involves the optimization of a …

Generalization of the output of a variational quantum eigensolver by parameter interpolation with a low-depth ansatz

K Mitarai, T Yan, K Fujii - Physical Review Applied, 2019 - APS
The variational quantum eigensolver (VQE) is an attractive possible application of near-term
quantum computers. Originally, the aim of the VQE is to find a ground state for a given …

[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 …

Subspace-search variational quantum eigensolver for excited states

KM Nakanishi, K Mitarai, K Fujii - Physical Review Research, 2019 - APS
The variational quantum eigensolver (VQE), a variational algorithm to obtain an
approximated ground state of a given Hamiltonian, is an appealing application of near-term …