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 …
Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution
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 …
computers stands to impact many problems in the physical and computer sciences, from …
Differentiable programming tensor networks
Differentiable programming is a fresh programming paradigm which composes
parameterized algorithmic components and optimizes them using gradient search. The …
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
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 …
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
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 …
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
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 …
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) …
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 …
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 …
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
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 …
and a very active one in the experiments with ultracold fermionic atoms. Motivated by current …