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 …

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 …

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 …

Adaptive, problem-tailored variational quantum eigensolver mitigates rough parameter landscapes and barren plateaus

HR Grimsley, GS Barron, E Barnes… - npj Quantum …, 2023 - nature.com
Variational quantum eigensolvers (VQEs) represent a powerful class of hybrid quantum-
classical algorithms for computing molecular energies. Various numerical issues exist for …

Improving the accuracy of variational quantum eigensolvers with fewer qubits using orbital optimization

J Bierman, Y Li, J Lu - Journal of Chemical Theory and …, 2023 - ACS Publications
Near-term quantum computers will be limited in the number of qubits on which they can
process information as well as the depth of the circuits that they can coherently carry out. To …

Accelerated variational quantum eigensolver with joint Bell measurement

C Cao, H Yano, YO Nakagawa - Physical Review Research, 2024 - APS
The variational quantum eigensolver (VQE) stands as a prominent quantum-classical hybrid
algorithm for near-term quantum computers to obtain the ground states of molecular …

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) …

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 …

Optimizing shot assignment in variational quantum eigensolver measurement

L Zhu, S Liang, C Yang, X Li - Journal of Chemical Theory and …, 2024 - ACS Publications
Variational quantum eigensolvers (VQEs) show promise for tackling complex quantum
chemistry challenges and realizing quantum advantages. However, in VQE, the …

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 …