Quantum many-body scars and Hilbert space fragmentation: a review of exact results
The discovery of quantum many-body scars (QMBS) both in Rydberg atom simulators and in
the Affleck–Kennedy–Lieb–Tasaki spin-1 chain model, have shown that a weak violation of …
the Affleck–Kennedy–Lieb–Tasaki spin-1 chain model, have shown that a weak violation 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 …
renormalization group ideas, tensor networks have been revived thanks to quantum …
Quantum optimization of maximum independent set using Rydberg atom arrays
Realizing quantum speedup for practically relevant, computationally hard problems is a
central challenge in quantum information science. Using Rydberg atom arrays with up to …
central challenge in quantum information science. Using Rydberg atom arrays with up to …
The ITensor software library for tensor network calculations
ITensor is a system for programming tensor network calculations with an interface modeled
on tensor diagram notation, which allows users to focus on the connectivity of a tensor …
on tensor diagram notation, which allows users to focus on the connectivity of a tensor …
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 …
Quantum trajectories and open many-body quantum systems
AJ Daley - Advances in Physics, 2014 - Taylor & Francis
The study of open quantum systems–microscopic systems exhibiting quantum coherence
that are coupled to their environment–has become increasingly important in the past years …
that are coupled to their environment–has become increasingly important in the past years …
Unifying time evolution and optimization with matrix product states
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 …
time-evolution methods and optimization methods in the context of matrix product states. In …
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 …
Efficient numerical simulations with tensor networks: Tensor Network Python (TeNPy)
J Hauschild, F Pollmann - SciPost Physics Lecture Notes, 2018 - scipost.org
Tensor product state (TPS) based methods are powerful tools to efficiently simulate quantum
many-body systems in and out of equilibrium. In particular, the one-dimensional matrix …
many-body systems in and out of equilibrium. In particular, the one-dimensional matrix …