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 …

Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution

M Motta, C Sun, ATK Tan, MJ O'Rourke, E Ye… - Nature Physics, 2020 - nature.com
The accurate computation of Hamiltonian ground, excited and thermal states on quantum
computers stands to impact many problems in the physical and computer sciences, from …

Differentiable programming tensor networks

HJ Liao, JG Liu, L Wang, T **ang - Physical Review X, 2019 - APS
Differentiable programming is a fresh programming paradigm which composes
parameterized algorithmic components and optimizes them using gradient search. The …

Gapless quantum spin liquid and global phase diagram of the spin-1/2 J1-J2 square antiferromagnetic Heisenberg model

WY Liu, SS Gong, YB Li, D Poilblanc, WQ Chen, ZC Gu - Science bulletin, 2022 - Elsevier
The nature of the zero-temperature phase diagram of the spin-1/2 J 1-J 2 Heisenberg model
on a square lattice has been debated in the past three decades, and it remains one of the …

Time evolution of an infinite projected entangled pair state: An efficient algorithm

P Czarnik, J Dziarmaga, P Corboz - Physical Review B, 2019 - APS
An infinite projected entangled pair state (iPEPS) is a tensor network ansatz to represent a
quantum state on an infinite 2D lattice whose accuracy is controlled by the bond dimension …

Tensor networks meet neural networks: A survey and future perspectives

M Wang, Y Pan, Z Xu, X Yang, G Li… - arxiv preprint arxiv …, 2023 - arxiv.org
Tensor networks (TNs) and neural networks (NNs) are two fundamental data modeling
approaches. TNs were introduced to solve the curse of dimensionality in large-scale tensors …

Time evolution of an infinite projected entangled pair state: Neighborhood tensor update

J Dziarmaga - Physical Review B, 2021 - APS
The simple update (SU) and full update (FU) are the two paradigmatic time evolution
algorithms for a tensor network known as the infinite projected entangled pair state (iPEPS) …

Time evolution of an infinite projected entangled pair state: A gradient tensor update in the tangent space

J Dziarmaga - Physical Review B, 2022 - APS
Time evolution of an infinite two-dimensional (2D) many body quantum lattice system can be
described by the Suzuki-Trotter decomposition applied to the infinite projected entangled …

[BUCH][B] Density Matrix and Tensor Network Renormalization

T **ang - 2023 - books.google.com
Renormalization group theory of tensor network states provides a powerful tool for studying
quantum many-body problems and a new paradigm for understanding entangled structures …

Finite-temperature tensor network study of the Hubbard model on an infinite square lattice

A Sinha, MM Rams, P Czarnik, J Dziarmaga - Physical Review B, 2022 - APS
The Hubbard model is a longstanding problem in the theory of strongly correlated electrons
and a very active one in the experiments with ultracold fermionic atoms. Motivated by current …