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 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 …

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 …

QCD thermalization: Ab initio approaches and interdisciplinary connections

J Berges, MP Heller, A Mazeliauskas… - Reviews of Modern …, 2021 - APS
Heavy-ion collisions at BNL's Relativistic Heavy Ion Collider and CERN's Large Hadron
Collider provide strong evidence for the formation of a quark-gluon plasma, with …

Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems

C Gogolin, J Eisert - Reports on Progress in Physics, 2016 - iopscience.iop.org
We review selected advances in the theoretical understanding of complex quantum many-
body systems with regard to emergent notions of quantum statistical mechanics. We cover …

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 …

Efficient tomography of a quantum many-body system

BP Lanyon, C Maier, M Holzäpfel, T Baumgratz… - Nature Physics, 2017 - nature.com
Quantum state tomography is the standard technique for estimating the quantum state of
small systems. But its application to larger systems soon becomes impractical as the …

Efficient quantum state tomography

M Cramer, MB Plenio, ST Flammia, R Somma… - Nature …, 2010 - nature.com
Quantum state tomography—deducing quantum states from measured data—is the gold
standard for verification and benchmarking of quantum devices. It has been realized in …

Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems

F Verstraete, V Murg, JI Cirac - Advances in physics, 2008 - Taylor & Francis
Full article: Matrix product states, projected entangled pair states, and variational renormalization
group methods for quantum spin systems Skip to Main Content Taylor and Francis Online …