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 …

Folded Spectrum VQE: A quantum computing method for the calculation of molecular excited states

L Cadi Tazi, AJW Thom - Journal of Chemical Theory and …, 2024 - ACS Publications
The recent developments of quantum computing present novel potential pathways for
quantum chemistry as the scaling of the computational power of quantum computers could …

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 …

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 …

Molecular-excited-state calculations with the qubit-excitation-based adaptive variational quantum eigensolver protocol

YS Yordanov, CHW Barnes, DRM Arvidsson-Shukur - Physical Review A, 2022 - APS
Calculations of molecular spectral properties, like photodissociation rates and absorption
bands, rely on knowledge of the excited state energies of the molecule of interest. Protocols …

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 …

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 …

Shallow-circuit variational quantum eigensolver based on symmetry-inspired Hilbert space partitioning for quantum chemical calculations

F Zhang, N Gomes, NF Berthusen, PP Orth… - Physical Review …, 2021 - APS
Development of resource-friendly quantum algorithms remains highly desirable for noisy
intermediate-scale quantum computing. Based on the variational quantum eigensolver …

Measurement optimization techniques for excited electronic states in near-term quantum computing algorithms

S Choi, AF Izmaylov - Journal of Chemical Theory and …, 2023 - ACS Publications
The variational quantum eigensolver (VQE) remains one of the most popular near-term
quantum algorithms for solving the electronic structure problem. Yet, for its practicality, the …

Qubit coupled cluster singles and doubles variational quantum eigensolver ansatz for electronic structure calculations

R Xia, S Kais - Quantum Science and Technology, 2020 - iopscience.iop.org
Variational quantum eigensolver (VQE) for electronic structure calculations is believed to be
one major potential application of near term quantum computing. Among all proposed VQE …