Machine learning and the physical sciences
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 …
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
The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …
Quantum chemistry in the age of quantum computing
Practical challenges in simulating quantum systems on classical computers have been
widely recognized in the quantum physics and quantum chemistry communities over the …
widely recognized in the quantum physics and quantum chemistry communities over the …
Hybrid quantum-classical algorithms and quantum error mitigation
Quantum computers can exploit a Hilbert space whose dimension increases exponentially
with the number of qubits. In experiment, quantum supremacy has recently been achieved …
with the number of qubits. In experiment, quantum supremacy has recently been achieved …
Solving the quantum many-body problem with artificial neural networks
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 …
difficulty of describing the nontrivial correlations encoded in the exponential complexity of …
Quantum many-body scars and weak breaking of ergodicity
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 …
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
It is not a coincidence that both chirality and noncovalent interactions are ubiquitous in
nature and synthetic molecular systems. Noncovalent interactivity between chiral molecules …
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 …
Fock solution appears as the zero-order approximation. It is shown by this development that …
Local density functional theory of atoms and molecules
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 …
generated from three assumptions:(i) The energy functional is local.(ii) The chemical …
Challenges for density functional theory
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 …
the application of quantum mechanics to interesting and challenging problems in chemistry …