Acronym definitions

AO

Atomic Orbital.

ASCI

Adaptive Sampling Configuration Interaction.

AVAS

Automated Valence Active Space. Method that projects molecular orbitals onto a target atomic orbital basis to identify valence active orbitals.

BFGS

Broyden–Fletcher–Goldfarb–Shanno quasi-Newton optimization algorithm.

BSE

Basis Set Exchange, a repository of standardized quantum chemistry basis sets and effective core potentials.

CAS

Complete Active Space.

CASCI

Complete Active Space Configuration Interaction.

CASSCF

Complete Active Space Self-Consistent Field.

CCSD

Coupled Cluster with Single and Double excitations.

CCSD(T)

Coupled Cluster with Single and Double excitations and perturbative Triple excitations.

CI

Configuration Interaction.

CNOT

Controlled-NOT two-qubit gate used in quantum circuits.

DFT

Density Functional Theory.

DIIS

Direct Inversion in the Iterative Subspace.

ECP

Effective Core Potential, a pseudopotential that replaces core electrons to simplify calculations.

ERI

Electron Repulsion Integral.

FCI

Full Configuration Interaction.

FCIDUMP

Text format for storing one- and two-electron integrals (FCIDUMP standard).

GDM

Geometric Direct Minimization.

GGA

Generalized Gradient Approximation.

HF

Hartree-Fock.

HOMO

Highest Occupied Molecular Orbital.

IQPE

Iterative Quantum Phase Estimation. A variant of QPE using a single ancilla qubit with sequential bit extraction and adaptive feedback.

LDA

Local Density Approximation.

LUMO

Lowest Unoccupied Molecular Orbital.

MACIS

Many-body Adaptive Configuration Interaction Solver. See [WYTMZdJ23] for more details.

MC

Multi-Configuration.

MCSCF

Multi-Configuration Self-Consistent Field.

MO

Molecular Orbital.

MP2

Second-order Møller-Plesset perturbation theory.

NISQ

Noisy Intermediate-Scale Quantum. Refers to the current era of quantum computing with limited qubit counts and imperfect gate operations.

PMC

Projected Multi-Configuration.

PPP

Pariser-Parr-Pople. Semi-empirical model Hamiltonian that adds intersite Coulomb interactions to the Hubbard model.

QDK

Quantum Development Kit.

QIR

Quantum Intermediate Representation. LLVM-based intermediate representation for quantum programs, used for cross-platform compilation and execution.

QPE

Quantum Phase Estimation. Algorithm that extracts energy eigenvalues by measuring the phase accumulated under Hamiltonian time evolution.

RDM

Reduced Density Matrix; one- or two-particle reduced density matrices used for many-body properties.

RHF

Restricted Hartree-Fock.

RKS

Restricted Kohn-Sham.

ROHF

Restricted Open-shell Hartree-Fock.

ROKS

Restricted Open-shell Kohn-Sham.

SCF

Self-Consistent Field.

SCI

Selected Configuration Interaction.

STO

Slater-type orbital minimal basis family (e.g., STO-3G minimal basis sets).

UHF

Unrestricted Hartree-Fock.

UKS

Unrestricted Kohn-Sham.

VQE

Variational Quantum Eigensolver.

VVHV

Valence Virtual Hard Virtual.