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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 …
quantum many-body problems. Over the past two decades, the increment in the number of …
Nonequilibrium boundary-driven quantum systems: Models, methods, and properties
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 …
systems driven dissipatively by coupling to different baths at their edges. This was possible …
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 …
[HTML][HTML] Time-evolution methods for matrix-product states
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 …
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
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 …
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
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 …
an innovative new method in quantum chemistry relying on a theoretical framework very …
Tree tensor networks for generative modeling
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 …
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
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 …
presented in Part 1. It focuses on tensor network models for super-compressed higher-order …
Thermalization and criticality on an analogue–digital quantum simulator
Understanding how interacting particles approach thermal equilibrium is a major challenge
of quantum simulators,. Unlocking the full potential of such systems towards this goal …
of quantum simulators,. Unlocking the full potential of such systems towards this goal …
Sublinear scaling in non-Markovian open quantum systems simulations
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 …
Markovian open quantum systems, most struggle with simulations for very long memory and …