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 simulation
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 …
when dealing with large systems. However, this difficulty may be overcome by using some …
OpenMolcas: From source code to insight
In this Article we describe the OpenMolcas environment and invite the computational
chemistry community to collaborate. The open-source project already includes a large …
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 …
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 …
based on several lectures and introductory seminars given on the subject. It should be a …
Quantum entanglement
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 …
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 …
renormalization group ideas, tensor networks have been revived thanks to quantum …
Entanglement in many-body systems
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 …
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 …
truncation of the Hilbert space of low-dimensional strongly correlated quantum systems …
Colloquium: Area laws for the entanglement entropy
Physical interactions in quantum many-body systems are typically local: Individual
constituents interact mainly with their few nearest neighbors. This locality of interactions is …
constituents interact mainly with their few nearest neighbors. This locality of interactions is …