Reducing qubit requirements while maintaining numerical precision for the variational quantum eigensolver: A basis-set-free approach

JS Kottmann, P Schleich… - The Journal of …, 2021 - ACS Publications
We present a basis-set-free approach to the variational quantum eigensolver using an
adaptive representation of the spatial part of molecular wave functions. Our approach …

[HTML][HTML] Direct determination of optimal pair-natural orbitals in a real-space representation: The second-order Moller–Plesset energy

JS Kottmann, FA Bischoff, EF Valeev - The Journal of Chemical …, 2020 - pubs.aip.org
An efficient representation of molecular correlated wave functions is proposed, which
features regularization of the Coulomb electron–electron singularities via the F12-style …

The advent of fully variational quantum eigensolvers using a hybrid multiresolution approach

F Langkabel, S Knecht, JS Kottmann - arxiv preprint arxiv:2410.19116, 2024 - arxiv.org
In electronic structure theory, variational computing offers a valuable paradigm for the
approximation of electronic ground states. However, for historical reasons, this principle is …

Direct determination of optimal real-space orbitals for correlated electronic structure of molecules

EF Valeev, RJ Harrison, AA Holmes… - Journal of Chemical …, 2023 - ACS Publications
We demonstrate how to determine numerically nearly exact orthonormal orbitals that are
optimal for the evaluation of the energy of arbitrary (correlated) states of atoms and …

Reduction of Hartree–Fock wavefunctions to Kohn–Sham effective potentials using multiresolution analysis

JB Stückrath, FA Bischoff - Journal of Chemical Theory and …, 2021 - ACS Publications
We present a highly accurate numerical implementation for computing the Kohn–Sham
effective potentials for molecules based on a Hartree–Fock wavefunction and density …

Coupled-cluster in real space. 1. CC2 ground state energies using multiresolution analysis

JS Kottmann, FA Bischoff - Journal of chemical theory and …, 2017 - ACS Publications
A framework to calculate CC2 approximated coupled-cluster ground state correlation
energies in a multiresolution basis is derived and implemented into the MADNESS library …

[HTML][HTML] ACE-Molecule: An open-source real-space quantum chemistry package

S Kang, J Woo, J Kim, H Kim, Y Kim, J Lim… - The Journal of …, 2020 - pubs.aip.org
ACE-Molecule (advanced computational engine for molecules) is a real-space quantum
chemistry package for both periodic and non-periodic systems. ACE-Molecule adopts a …

Structure of the molecule in a strong homogeneous magnetic field as computed by the Hartree-Fock method using multiresolution analysis

FA Bischoff - Physical Review A, 2020 - APS
We present the structure of the H 3 molecule (both quartet and doublet state) in the presence
of strong magnetic fields of up to 5 ℏ/(ea 0 2), equivalent to 1.175 MT. Both systems are …

An Introduction to High Performance Computing and Its Intersection with Advances in Modeling Rare Earth Elements and Actinides

DA Penchoff, E Valeev, H Jagode… - Rare Earth Elements …, 2021 - ACS Publications
Computationally driven solutions in nuclear and radiochemistry heavily depend on efficient
modeling of Rare Earth Elements (REEs) and actinides. Accurate modeling of REEs and …

Computing accurate molecular properties in real space using multiresolution analysis

FA Bischoff - Advances in Quantum Chemistry, 2019 - Elsevier
Multiresolution analysis (MRA), and specifically multiwavelets, can be used to compute
properties of molecules accurately with defined error control. The truncation error induced by …