Machine learning and the physical sciences

G Carleo, I Cirac, K Cranmer, L Daudet, M Schuld… - Reviews of Modern …, 2019 - APS
Machine learning (ML) encompasses a broad range of algorithms and modeling tools used
for a vast array of data processing tasks, which has entered most scientific disciplines in …

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 …

Quantum chemistry in the age of quantum computing

Y Cao, J Romero, JP Olson, M Degroote… - Chemical …, 2019 - ACS Publications
Practical challenges in simulating quantum systems on classical computers have been
widely recognized in the quantum physics and quantum chemistry communities over the …

Hybrid quantum-classical algorithms and quantum error mitigation

S Endo, Z Cai, SC Benjamin, X Yuan - Journal of the Physical …, 2021 - journals.jps.jp
Quantum computers can exploit a Hilbert space whose dimension increases exponentially
with the number of qubits. In experiment, quantum supremacy has recently been achieved …

Solving the quantum many-body problem with artificial neural networks

G Carleo, M Troyer - Science, 2017 - science.org
The challenge posed by the many-body problem in quantum physics originates from the
difficulty of describing the nontrivial correlations encoded in the exponential complexity of …

Quantum many-body scars and weak breaking of ergodicity

M Serbyn, DA Abanin, Z Papić - Nature Physics, 2021 - nature.com
Thermalization is the inevitable fate of many complex quantum systems, whose dynamics
allow them to fully explore the vast configuration space regardless of the initial state—the …

Recognition in the domain of molecular chirality: from noncovalent interactions to separation of enantiomers

P Peluso, B Chankvetadze - Chemical Reviews, 2022 - ACS Publications
It is not a coincidence that both chirality and noncovalent interactions are ubiquitous in
nature and synthetic molecular systems. Noncovalent interactivity between chiral molecules …

Note on an approximation treatment for many-electron systems

C Møller, MS Plesset - Physical review, 1934 - APS
A perturbation theory is developed for treating a system of n electrons in which the Hartree-
Fock solution appears as the zero-order approximation. It is shown by this development that …

Local density functional theory of atoms and molecules

RG Parr, SR Gadre, LJ Bartolotti - Proceedings of the …, 1979 - National Acad Sciences
A local density functional theory of the ground electronic states of atoms and molecules is
generated from three assumptions:(i) The energy functional is local.(ii) The chemical …

Challenges for density functional theory

AJ Cohen, P Mori-Sánchez, W Yang - Chemical reviews, 2012 - ACS Publications
Density functional theory (DFT) of electronic structure has made an unparalleled impact on
the application of quantum mechanics to interesting and challenging problems in chemistry …