[HTML][HTML] The variational quantum eigensolver: a review of methods and best practices

J Tilly, H Chen, S Cao, D Picozzi, K Setia, Y Li, E Grant… - Physics Reports, 2022 - Elsevier
The variational quantum eigensolver (or VQE), first developed by Peruzzo et al.(2014), has
received significant attention from the research community in recent years. It uses the …

Measuring electron correlation: the impact of symmetry and orbital transformations

R Izsák, AV Ivanov, NS Blunt… - Journal of Chemical …, 2023 - ACS Publications
In this perspective, the various measures of electron correlation used in wave function
theory, density functional theory and quantum information theory are briefly reviewed. We …

Correlation-informed permutation of qubits for reducing ansatz depth in the variational quantum eigensolver

NV Tkachenko, J Sud, Y Zhang, S Tretiak, PM Anisimov… - PRX Quantum, 2021 - APS
The variational quantum eigensolver (VQE) is a method of choice to solve the electronic
structure problem for molecules on near-term gate-based quantum computers. However, the …

Variational quantum eigensolver with reduced circuit complexity

Y Zhang, L Cincio, CFA Negre, P Czarnik… - npj Quantum …, 2022 - nature.com
The variational quantum eigensolver (VQE) is one of the most promising algorithms to find
eigenstates of a given Hamiltonian on noisy intermediate-scale quantum devices (NISQ) …

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 …

Self-consistent-field method for correlated many-electron systems with an entropic cumulant energy

J Wang, EJ Baerends - Physical review letters, 2022 - APS
A self-consistent field method is presented within density matrix functional theory. The
computational cost for a correlated many-electron calculation is reduced to that of the self …

Electronic structure calculations and the Ising Hamiltonian

R **a, T Bian, S Kais - The Journal of Physical Chemistry B, 2017 - ACS Publications
Obtaining exact solutions to the Schrödinger equation for atoms, molecules, and extended
systems continues to be a “Holy Grail” problem which the fields of theoretical chemistry and …

Orbital entanglement in bond-formation processes

K Boguslawski, P Tecmer, G Barcza… - Journal of Chemical …, 2013 - ACS Publications
The accurate calculation of the (differential) correlation energy is central to the quantum
chemical description of bond-formation and bond-dissociation processes. In order to …

Density matrix renormalization group with efficient dynamical electron correlation through range separation

ED Hedegård, S Knecht, JS Kielberg… - The Journal of …, 2015 - pubs.aip.org
We present a new hybrid multiconfigurational method based on the concept of range-
separation that combines the density matrix renormalization group approach with density …

Introduction to quantum information and computation for chemistry

S Kais - Quantum information and computation for chemistry, 2014 - Wiley Online Library
This chapter surveys some of the most important recent results in quantum computation and
quantum information, with potential applications in quantum chemistry. It provides an …