Acronym definitions

AO

Atomic Orbital.

API

Application Programming Interface.

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.

CODATA

Committee on Data of the International Science Council, which publishes recommended values of fundamental physical constants.

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.

LCU

Linear Combination of Unitaries. A block-encoding technique that represents an operator as a weighted sum of unitaries using PREPARE and SELECT oracles.

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.

PySCF

Python-based Simulations of Chemistry Framework.

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.

XYZ

Text file format for molecular geometries represented by element symbols and Cartesian coordinates.