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 …

Nonequilibrium boundary-driven quantum systems: Models, methods, and properties

GT Landi, D Poletti, G Schaller - Reviews of Modern Physics, 2022 - APS
Recent years have seen tremendous progress in the theoretical understanding of quantum
systems driven dissipatively by coupling to different baths at their edges. This was possible …

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 …

[HTML][HTML] Time-evolution methods for matrix-product states

S Paeckel, T Köhler, A Swoboda, SR Manmana… - Annals of Physics, 2019 - Elsevier
Matrix-product states have become the de facto standard for the representation of one-
dimensional quantum many body states. During the last few years, numerous new methods …

Block2: A comprehensive open source framework to develop and apply state-of-the-art DMRG algorithms in electronic structure and beyond

H Zhai, HR Larsson, S Lee, ZH Cui, T Zhu… - The Journal of …, 2023 - pubs.aip.org
block2 is an open source framework to implement and perform density matrix
renormalization group and matrix product state algorithms. Out-of-the-box it supports the …

[HTML][HTML] The density matrix renormalization group in chemistry and molecular physics: Recent developments and new challenges

A Baiardi, M Reiher - The Journal of Chemical Physics, 2020 - pubs.aip.org
In the past two decades, the density matrix renormalization group (DMRG) has emerged as
an innovative new method in quantum chemistry relying on a theoretical framework very …

Tree tensor networks for generative modeling

S Cheng, L Wang, T **ang, P Zhang - Physical Review B, 2019 - APS
Matrix product states (MPSs), a tensor network designed for one-dimensional quantum
systems, were recently proposed for generative modeling of natural data (such as images) in …

Tensor networks for dimensionality reduction and large-scale optimization: Part 2 applications and future perspectives

A Cichocki, AH Phan, Q Zhao, N Lee… - … and Trends® in …, 2017 - nowpublishers.com
Part 2 of this monograph builds on the introduction to tensor networks and their operations
presented in Part 1. It focuses on tensor network models for super-compressed higher-order …

Thermalization and criticality on an analogue–digital quantum simulator

TI Andersen, N Astrakhantsev, AH Karamlou… - Nature, 2025 - nature.com
Understanding how interacting particles approach thermal equilibrium is a major challenge
of quantum simulators,. Unlocking the full potential of such systems towards this goal …

Sublinear scaling in non-Markovian open quantum systems simulations

M Cygorek, J Keeling, BW Lovett, EM Gauger - Physical Review X, 2024 - APS
While several numerical techniques are available for predicting the dynamics of non-
Markovian open quantum systems, most struggle with simulations for very long memory and …