Matrix product states and projected entangled pair states: Concepts, symmetries, theorems

JI Cirac, D Perez-Garcia, N Schuch, F Verstraete - Reviews of Modern Physics, 2021 - APS
The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …

A quantum computing view on unitary coupled cluster theory

A Anand, P Schleich, S Alperin-Lea… - Chemical Society …, 2022 - pubs.rsc.org
We present a review of the Unitary Coupled Cluster (UCC) ansatz and related ansätze
which are used to variationally solve the electronic structure problem on quantum …

Generative image dynamics

Z Li, R Tucker, N Snavely… - Proceedings of the IEEE …, 2024 - openaccess.thecvf.com
We present an approach to modeling an image-space prior on scene motion. Our prior is
learned from a collection of motion trajectories extracted from real video sequences …

Coupled-cluster techniques for computational chemistry: The CFOUR program package

DA Matthews, L Cheng, ME Harding… - The Journal of …, 2020 - pubs.aip.org
An up-to-date overview of the CFOUR program system is given. After providing a brief
outline of the evolution of the program since its inception in 1989, a comprehensive …

Deep-neural-network solution of the electronic Schrödinger equation

J Hermann, Z Schätzle, F Noé - Nature Chemistry, 2020 - nature.com
The electronic Schrödinger equation can only be solved analytically for the hydrogen atom,
and the numerically exact full configuration-interaction method is exponentially expensive in …

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 …

A Guided Tour of ab initio Nuclear Many-Body Theory

H Hergert - Frontiers in Physics, 2020 - frontiersin.org
Over the last decade, new developments in Similarity Renormalization Group techniques
and nuclear many-body methods have dramatically increased the capabilities of ab initio …

Computation of molecular spectra on a quantum processor with an error-resilient algorithm

JI Colless, VV Ramasesh, D Dahlen, MS Blok… - Physical Review X, 2018 - APS
Harnessing the full power of nascent quantum processors requires the efficient management
of a limited number of quantum bits with finite coherent lifetimes. Hybrid algorithms, such as …

The theory of variational hybrid quantum-classical algorithms

JR McClean, J Romero, R Babbush… - New Journal of …, 2016 - iopscience.iop.org
Many quantum algorithms have daunting resource requirements when compared to what is
available today. To address this discrepancy, a quantum-classical hybrid optimization …

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 …