Two-electron reduced density matrix as the basic variable in many-electron quantum chemistry and physics

DA Mazziotti - Chemical reviews, 2012 - ACS Publications
When Schrödinger1 derived the now-famous equation bearing his name in 1925, new
possibilities emerged for the theoretical and computational prediction of energies and …

Variational determination of the two‐electron reduced density matrix: A tutorial review

A Eugene DePrince III - Wiley Interdisciplinary Reviews …, 2024 - Wiley Online Library
The two‐electron reduced density matrix (2RDM) carries enough information to evaluate the
electronic energy of a many‐electron system. The variational 2RDM (v2RDM) approach …

Quantum Many-Body Theory from a Solution of the -Representability Problem

DA Mazziotti - Physical Review Letters, 2023 - APS
Here we present a many-body theory based on a solution of the N-representability problem
in which the ground-state two-particle reduced density matrix (2-RDM) is determined directly …

Structure of Fermionic Density Matrices: Complete -Representability Conditions

DA Mazziotti - Physical Review Letters, 2012 - APS
We present a constructive solution to the N-representability problem: a full characterization
of the conditions for constraining the two-electron reduced density matrix to represent an N …

Optimal-transport formulation of electronic density-functional theory

G Buttazzo, L De Pascale, P Gori-Giorgi - Physical Review A—Atomic …, 2012 - APS
The most challenging scenario for Kohn-Sham density-functional theory, that is, when the
electrons move relatively slowly trying to avoid each other as much as possible because of …

Fewer Measurements from Shadow Tomography with -Representability Conditions

I Avdic, DA Mazziotti - Physical Review Letters, 2024 - APS
Classical shadow tomography provides a randomized scheme for approximating the
quantum state and its properties at reduced computational cost with applications in quantum …

Large-scale variational two-electron reduced-density-matrix-driven complete active space self-consistent field methods

J Fosso-Tande, TS Nguyen, G Gidofalvi… - Journal of chemical …, 2016 - ACS Publications
A large-scale implementation of the complete active space self-consistent field (CASSCF)
method is presented. The active space is described using the variational two-electron …

Active-space two-electron reduced-density-matrix method: Complete active-space calculations without diagonalization of the N-electron Hamiltonian

G Gidofalvi, DA Mazziotti - The Journal of chemical physics, 2008 - pubs.aip.org
Molecular systems in chemistry often have wave functions with substantial contributions from
two-or-more electronic configurations. Because traditional complete-active-space self …

Large-scale semidefinite programming for many-electron quantum mechanics

DA Mazziotti - Physical review letters, 2011 - APS
The energy of a many-electron quantum system can be approximated by a constrained
optimization of the two-electron reduced density matrix (2-RDM) that is solvable in …

Quantum-classical hybrid algorithm using an error-mitigating -representability condition to compute the Mott metal-insulator transition

SE Smart, DA Mazziotti - Physical Review A, 2019 - APS
Quantum algorithms for molecular electronic structure have been developed with lower
computational scaling than their classical counterparts, but emerging quantum hardware is …