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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 …
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 …
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 …
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 …
of the conditions for constraining the two-electron reduced density matrix to represent an N …
Optimal-transport formulation of electronic density-functional theory
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 …
electrons move relatively slowly trying to avoid each other as much as possible because of …
Fewer Measurements from Shadow Tomography with -Representability Conditions
Classical shadow tomography provides a randomized scheme for approximating the
quantum state and its properties at reduced computational cost with applications in quantum …
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 …
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
Molecular systems in chemistry often have wave functions with substantial contributions from
two-or-more electronic configurations. Because traditional complete-active-space self …
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 …
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
Quantum algorithms for molecular electronic structure have been developed with lower
computational scaling than their classical counterparts, but emerging quantum hardware is …
computational scaling than their classical counterparts, but emerging quantum hardware is …