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 …

Variational quantum eigensolvers by variance minimization

DB Zhang, BL Chen, ZH Yuan, T Yin - Chinese Physics B, 2022 - iopscience.iop.org
The original variational quantum eigensolver (VQE) typically minimizes energy with hybrid
quantum-classical optimization that aims to find the ground state. Here, we propose a VQE …

Penalty methods for a variational quantum eigensolver

K Kuroiwa, YO Nakagawa - Physical Review Research, 2021 - APS
The variational quantum eigensolver (VQE) is a promising algorithm to compute eigenstates
and eigenenergies of a given quantum system that can be performed on a near-term …

Theory of analytical energy derivatives for the variational quantum eigensolver

K Mitarai, YO Nakagawa, W Mizukami - Physical Review Research, 2020 - APS
The variational quantum eigensolver (VQE) and its variants, which is a method for finding
eigenstates and eigenenergies of a given Hamiltonian, are appealing applications of near …

Orthogonal state reduction variational eigensolver for the excited-state calculations on quantum computers

QX Xie, S Liu, Y Zhao - Journal of Chemical Theory and …, 2022 - ACS Publications
Variational quantum eigensolver (VQE) is a promising method for ground-state calculations
on current noisy intermediate-scale quantum computers. However, the research progress of …

[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 …

Mitigating barren plateaus of variational quantum eigensolvers

X Liu, G Liu, HK Zhang, J Huang… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Variational quantum algorithms (VQAs) are expected to establish valuable applications on
near-term quantum computers. However, recent works have pointed out that the …

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 …

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 …