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 …

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 …

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 …

Tensor network algorithms: A route map

MC Bañuls - Annual Review of Condensed Matter Physics, 2023 - annualreviews.org
Tensor networks provide extremely powerful tools for the study of complex classical and
quantum many-body problems. Over the past two decades, the increment in the number of …

Supervised learning with tensor networks

E Stoudenmire, DJ Schwab - Advances in neural …, 2016 - proceedings.neurips.cc
Tensor networks are approximations of high-order tensors which are efficient to work with
and have been very successful for physics and mathematics applications. We demonstrate …

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 …

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 …

Unifying time evolution and optimization with matrix product states

J Haegeman, C Lubich, I Oseledets, B Vandereycken… - Physical Review B, 2016 - APS
We show that the time-dependent variational principle provides a unifying framework for
time-evolution methods and optimization methods in the context of matrix product states. In …

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 …

[图书][B] Ultracold Atoms in Optical Lattices: Simulating quantum many-body systems

M Lewenstein, A Sanpera, V Ahufinger - 2012 - books.google.com
Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …