Orthogonally Constrained Orbital Optimization: assessing changes of
optimal orbitals for orthogonal multi-reference states
- URL: http://arxiv.org/abs/2211.08329v1
- Date: Tue, 15 Nov 2022 17:39:39 GMT
- Title: Orthogonally Constrained Orbital Optimization: assessing changes of
optimal orbitals for orthogonal multi-reference states
- Authors: Saad Yalouz and Vincent Robert
- Abstract summary: The choice of molecular orbitals is decisive in configuration interaction calculations.
The approach faithfully recovers the energy of afour-electron Hubbard trimer, whereas state-average calculations can miss the value by a factor 2.5.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The choice of molecular orbitals is decisive in configuration interaction
calculations. In this letter, a democratic description of the ground and
excited states follows an orthogonally constrained orbitals optimization to
produce state-specific orbitals. The approach faithfully recovers the
excitation energy of afour-electron Hubbard trimer, whereas state-average
calculations can miss the value by a factor 2.5. The method emphasises the need
for orbitals optimizationto reduce expansions and to reach spectroscopic
accuracy.
Related papers
- Enhancing initial state overlap through orbital optimization for faster molecular electronic ground-state energy estimation [0.0]
We show that an initial state constructed from a single Slater determinant can be optimized without knowledge of the true molecular ground state.
Our method yields one to two orders of magnitude of improvement compared to localized molecular orbitals.
arXiv Detail & Related papers (2024-04-12T16:07:49Z) - Natural orbitals and sparsity of quantum mutual information [0.0]
We show that the converged orbitals are coinciding with natural orbitals.
The correlation is encoded in a smaller number of qubit pairs contributing to the quantum mutual information matrix.
arXiv Detail & Related papers (2023-08-15T21:51:53Z) - A self-consistent field approach for the variational quantum
eigensolver: orbital optimization goes adaptive [52.77024349608834]
We present a self consistent field approach (SCF) within the Adaptive Derivative-Assembled Problem-Assembled Ansatz Variational Eigensolver (ADAPTVQE)
This framework is used for efficient quantum simulations of chemical systems on nearterm quantum computers.
arXiv Detail & Related papers (2022-12-21T23:15:17Z) - Simulating scalar field theories on quantum computers with limited
resources [62.997667081978825]
We present a quantum algorithm for implementing $phi4$ lattice scalar field theory on qubit computers.
The algorithm allows efficient $phi4$ state preparation for a large range of input parameters in both the normal and broken symmetry phases.
arXiv Detail & Related papers (2022-10-14T17:28:15Z) - Optimal Scaling for Locally Balanced Proposals in Discrete Spaces [65.14092237705476]
We show that efficiency of Metropolis-Hastings (M-H) algorithms in discrete spaces can be characterized by an acceptance rate that is independent of the target distribution.
Knowledge of the optimal acceptance rate allows one to automatically tune the neighborhood size of a proposal distribution in a discrete space, directly analogous to step-size control in continuous spaces.
arXiv Detail & Related papers (2022-09-16T22:09:53Z) - Direct determination of optimal real-space orbitals for correlated
electronic structure of molecules [0.0]
We show how to determine numerically nearly exact orthonormal orbitals that are optimal for evaluation of the energy of arbitrary (correlated) states of atoms and molecules.
Orbitals are expressed in real space using a multiresolution spectral element basis that is refined adaptively to achieve the user-specified target precision.
arXiv Detail & Related papers (2022-07-22T02:10:02Z) - Natural orbitals for the ab initio no-core configuration interaction
approach [0.13999481573773068]
We seek to improve the accuracy obtained for a given basis size by optimizing the choice of single-particle orbitals.
Natural orbitals, which diagonalize the one-body density matrix, provide a basis which maximizes the occupation of low-lying orbitals.
We explore aspects of NCCI calculations with natural orbitals for the ground state of the $p$-shell neutron halo nucleus.
arXiv Detail & Related papers (2021-12-07T22:38:39Z) - Simulation of absorption spectra of molecular aggregates: a Hierarchy of
Stochastic Pure States approach [68.8204255655161]
hierarchy of pure states (HOPS) provides a formally exact solution based on local, trajectories.
Exploiting the localization of HOPS for the simulation of absorption spectra in large aggregares requires a formulation in terms of normalized trajectories.
arXiv Detail & Related papers (2021-11-01T16:59:54Z) - The Exact Second Order Corrections and Accurate Quasiparticle Energy
Calculations in Density Functional Theory [0.8057006406834467]
We develop a second order correction to commonly used density functional approximations (DFA)
For small and medium-size molecules, this correction leads to ground-state orbital energies that are highly accurate approximation to the corresponding quasiparticle energies.
It provides excellent predictions of ionization potentials, electron affinities, photoemission spectrum and photoexcitation energies beyond previous approximate second order approaches.
arXiv Detail & Related papers (2021-06-18T21:24:21Z) - Machine Learning for Vibrational Spectroscopy via Divide-and-Conquer
Semiclassical Initial Value Representation Molecular Dynamics with
Application to N-Methylacetamide [56.515978031364064]
A machine learning algorithm for partitioning the nuclear vibrational space into subspaces is introduced.
The subdivision criterion is based on Liouville's theorem, i.e. best preservation of the unitary of the reduced dimensionality Jacobian determinant.
The algorithm is applied to the divide-and-conquer semiclassical calculation of the power spectrum of 12-atom trans-N-Methylacetamide.
arXiv Detail & Related papers (2021-01-11T14:47:33Z) - Benchmarking adaptive variational quantum eigensolvers [63.277656713454284]
We benchmark the accuracy of VQE and ADAPT-VQE to calculate the electronic ground states and potential energy curves.
We find both methods provide good estimates of the energy and ground state.
gradient-based optimization is more economical and delivers superior performance than analogous simulations carried out with gradient-frees.
arXiv Detail & Related papers (2020-11-02T19:52:04Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.