Add to ORKGWe revisit the corner transfer matrix renormalization group (CTMRG) method of Nishino and Okunishi for contracting two-dimensional (2D) tensor networks and demonstrate that its performance can be substantially improved by determining the tensors using an eigenvalue solver as opposed to the power method used in CTMRG. We also generalize the variational uniform matrix product state (VUMPS) ansatz for diagonalizing 1D quantum Hamiltonians to the case of 2D transfer matrices and discuss similarities with the corner methods. These two new algorithms will be crucial to improving the performance of variational infinite projected entangled pair state (PEPS) methods
We develop a method of variational optimization of the infinite projected entangled pair states on t...
Tensor networks (TNs) have become one of the most essential building blocks for various fields of th...
Time evolution of an infinite 2D many body quantum lattice system can be described by the Suzuki-Tro...
We revisit the corner transfer matrix renormalization group (CTMRG) method of Nishino and Okunishi f...
Tensor network states provide an efficient class of states that faithfully capture strongly correlat...
An extension of the projected entangled-pair states (PEPS) algorithm to infinite systems, known as t...
We combine the density matrix renormalization group (DMRG) with matrix product state tangent space c...
Matrix product states and matrix product operators (MPOs) are one-dimensional tensor networks that u...
The norms or expectation values of infinite projected entangled-pair states (PEPS) cannot be compute...
In the context of tensor network states, we for the first time reformulate the corner transfer matri...
We present several results relating to the contraction of generic tensor networks and discuss their ...
Tensor network algorithms are important numerical tools for studying quantum many-body problems. How...
In this paper we explore the practical use of the corner transfer matrix and its higher-dimensional ...
We investigate the computational power of the recently introduced class of isometric tensor network ...
This thesis contributes to developing and applying tensor network methods to simulate correlated man...
We develop a method of variational optimization of the infinite projected entangled pair states on t...
Tensor networks (TNs) have become one of the most essential building blocks for various fields of th...
Time evolution of an infinite 2D many body quantum lattice system can be described by the Suzuki-Tro...
We revisit the corner transfer matrix renormalization group (CTMRG) method of Nishino and Okunishi f...
Tensor network states provide an efficient class of states that faithfully capture strongly correlat...
An extension of the projected entangled-pair states (PEPS) algorithm to infinite systems, known as t...
We combine the density matrix renormalization group (DMRG) with matrix product state tangent space c...
Matrix product states and matrix product operators (MPOs) are one-dimensional tensor networks that u...
The norms or expectation values of infinite projected entangled-pair states (PEPS) cannot be compute...
In the context of tensor network states, we for the first time reformulate the corner transfer matri...
We present several results relating to the contraction of generic tensor networks and discuss their ...
Tensor network algorithms are important numerical tools for studying quantum many-body problems. How...
In this paper we explore the practical use of the corner transfer matrix and its higher-dimensional ...
We investigate the computational power of the recently introduced class of isometric tensor network ...
This thesis contributes to developing and applying tensor network methods to simulate correlated man...
We develop a method of variational optimization of the infinite projected entangled pair states on t...
Tensor networks (TNs) have become one of the most essential building blocks for various fields of th...
Time evolution of an infinite 2D many body quantum lattice system can be described by the Suzuki-Tro...