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 simulation

IM Georgescu, S Ashhab, F Nori - Reviews of Modern Physics, 2014 - APS
Simulating quantum mechanics is known to be a difficult computational problem, especially
when dealing with large systems. However, this difficulty may be overcome by using some …

OpenMolcas: From source code to insight

I Fdez. Galván, M Vacher, A Alavi… - Journal of chemical …, 2019 - ACS Publications
In this Article we describe the OpenMolcas environment and invite the computational
chemistry community to collaborate. The open-source project already includes a large …

The density-matrix renormalization group in the age of matrix product states

U Schollwöck - Annals of physics, 2011 - Elsevier
The density-matrix renormalization group method (DMRG) has established itself over the
last decade as the leading method for the simulation of the statics and dynamics of one …

A practical introduction to tensor networks: Matrix product states and projected entangled pair states

R Orús - Annals of physics, 2014 - Elsevier
This is a partly non-technical introduction to selected topics on tensor network methods,
based on several lectures and introductory seminars given on the subject. It should be a …

Quantum entanglement

R Horodecki, P Horodecki, M Horodecki… - Reviews of modern …, 2009 - APS
All our former experience with application of quantum theory seems to say that what is
predicted by quantum formalism must occur in the laboratory. But the essence of quantum …

Tensor networks for complex quantum systems

R Orús - Nature Reviews Physics, 2019 - nature.com
Originally developed in the context of condensed-matter physics and based on
renormalization group ideas, tensor networks have been revived thanks to quantum …

Entanglement in many-body systems

L Amico, R Fazio, A Osterloh, V Vedral - Reviews of modern physics, 2008 - APS
Recent interest in aspects common to quantum information and condensed matter has
prompted a flurry of activity at the border of these disciplines that were far distant until a few …

The density-matrix renormalization group

U Schollwöck - Reviews of modern physics, 2005 - APS
The density-matrix renormalization group (DMRG) is a numerical algorithm for the efficient
truncation of the Hilbert space of low-dimensional strongly correlated quantum systems …

Colloquium: Area laws for the entanglement entropy

J Eisert, M Cramer, MB Plenio - Reviews of modern physics, 2010 - APS
Physical interactions in quantum many-body systems are typically local: Individual
constituents interact mainly with their few nearest neighbors. This locality of interactions is …