Emerging quantum computing algorithms for quantum chemistry

M Motta, JE Rice - Wiley Interdisciplinary Reviews …, 2022 - Wiley Online Library
Digital quantum computers provide a computational framework for solving the Schrödinger
equation for a variety of many‐particle systems. Quantum computing algorithms for the …

Twenty years of auxiliary-field quantum Monte Carlo in quantum chemistry: An overview and assessment on main group chemistry and bond-breaking

J Lee, HQ Pham, DR Reichman - Journal of Chemical Theory and …, 2022 - ACS Publications
In this work, we present an overview of the phaseless auxiliary-field quantum Monte Carlo
(ph-AFQMC) approach from a computational quantum chemistry perspective and present a …

Even more efficient quantum computations of chemistry through tensor hypercontraction

J Lee, DW Berry, C Gidney, WJ Huggins, JR McClean… - PRX Quantum, 2021 - APS
We describe quantum circuits with only O~(N) Toffoli complexity that block encode the
spectra of quantum chemistry Hamiltonians in a basis of N arbitrary (eg, molecular) orbitals …

Quantum computing enhanced computational catalysis

V von Burg, GH Low, T Häner, DS Steiger… - Physical Review …, 2021 - APS
The quantum computation of electronic energies can break the curse of dimensionality that
plagues many-particle quantum mechanics. It is for this reason that a universal quantum …

[HTML][HTML] Quantum chemistry simulation of ground-and excited-state properties of the sulfonium cation on a superconducting quantum processor

M Motta, GO Jones, JE Rice, TP Gujarati… - Chemical …, 2023 - pubs.rsc.org
The computational description of correlated electronic structure, and particularly of excited
states of many-electron systems, is an anticipated application for quantum devices. An …

[HTML][HTML] Low rank representations for quantum simulation of electronic structure

M Motta, E Ye, JR McClean, Z Li, AJ Minnich… - npj Quantum …, 2021 - nature.com
The quantum simulation of quantum chemistry is a promising application of quantum
computers. However, for N molecular orbitals, the O (N 4) gate complexity of performing …

Quantum filter diagonalization with compressed double-factorized hamiltonians

J Cohn, M Motta, RM Parrish - PRX Quantum, 2021 - APS
We demonstrate a method that merges the quantum filter diagonalization (QFD) approach
for hybrid quantum-classical solution of the time-independent electronic Schrödinger …

Some recent developments in auxiliary-field quantum Monte Carlo for real materials

H Shi, S Zhang - The Journal of chemical physics, 2021 - pubs.aip.org
The auxiliary-field quantum Monte Carlo (AFQMC) method is a general numerical method
for correlated many-electron systems, which is being increasingly applied in lattice models …

On Achieving High Accuracy in Quantum Chemical Calculations of 3d Transition Metal-Containing Systems: A Comparison of Auxiliary-Field Quantum Monte Carlo …

J Shee, B Rudshteyn, EJ Arthur, S Zhang… - Journal of chemical …, 2019 - ACS Publications
The bond dissociation energies of a set of 44 3 d transition metal-containing diatomics are
computed with phaseless auxiliary-field quantum Monte Carlo (ph-AFQMC) utilizing a …

Say no to optimization: A nonorthogonal quantum eigensolver

U Baek, D Hait, J Shee, O Leimkuhler, WJ Huggins… - PRX Quantum, 2023 - APS
A balanced description of both static and dynamic correlations in electronic systems with
nearly degenerate low-lying states presents a challenge for multiconfigurational methods on …