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 …
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 …
Emergent topological orders and phase transitions in lattice Chern-Simons theory of quantum magnets
R Wang, ZY Xie, B Wang, T Sedrakyan - Physical Review B, 2022 - APS
Topological phase transitions involving intrinsic topological orders are usually characterized
by qualitative changes of ground state quantum entanglement, which cannot be described …
by qualitative changes of ground state quantum entanglement, which cannot be described …
Iterative retraining of quantum spin models using recurrent neural networks
C Roth - arXiv preprint arXiv:2003.06228, 2020 - arxiv.org
Modeling quantum many-body systems is enormously challenging due to the exponential
scaling of Hilbert dimension with system size. Finding efficient compressions of the …
scaling of Hilbert dimension with system size. Finding efficient compressions of the …
Emergent symmetry and conserved current at a one-dimensional incarnation of deconfined quantum critical point
The deconfined quantum critical point (DQCP) was originally proposed as a continuous
transition between two spontaneous symmetry breaking phases in 2D spin-1/2 systems …
transition between two spontaneous symmetry breaking phases in 2D spin-1/2 systems …
Symmetry-protected tensor networks
C Hubig - 2017 - edoc.ub.uni-muenchen.de
The simulation and numerical study of large, strongly correlated quantum systems
containing Fermions or using real-time evolution in finite dimensions is still an essentially …
containing Fermions or using real-time evolution in finite dimensions is still an essentially …
Accurate simulation for finite projected entangled pair states in two dimensions
Based on the scheme of variational Monte Carlo sampling, we develop an accurate and
efficient two-dimensional tensor-network algorithm to simulate quantum lattice models. We …
efficient two-dimensional tensor-network algorithm to simulate quantum lattice models. We …
Reorthonormalization of Chebyshev matrix product states for dynamical correlation functions
The Chebyshev expansion offers a numerically efficient and easy-implement algorithm for
evaluating dynamic correlation functions using matrix product states (MPS). In this approach …
evaluating dynamic correlation functions using matrix product states (MPS). In this approach …
A perturbative density matrix renormalization group algorithm for large active spaces
We describe a low cost alternative to the standard variational DMRG (density matrix
renormalization group) algorithm that is analogous to the combination of the selected …
renormalization group) algorithm that is analogous to the combination of the selected …
Accurate determination of low-energy eigenspectra with multitarget matrix product states
Determining the low-energy eigenspectra of quantum many-body systems is a long-standing
challenge in physics. In this paper, we solve this problem by introducing two algorithms to …
challenge in physics. In this paper, we solve this problem by introducing two algorithms to …