Title
Tensor Network Skeletonization.
Abstract
We introduce a new coarse-graining algorithm, tensor network skeletonization, for the numerical computation of tensor networks. This approach utilizes a structure-preserving skeletonization procedure to remove short-range entanglements effectively at every scale. This approach is first presented in the setting of a two-dimensional (2D) statistical Ising model and is then extended to higher-dimensional tensor networks and disordered systems. When applied to the Euclidean path integral formulation, this approach also gives rise to new efficient representations of the ground states for 1D and 2D quantum Ising models.
Year
DOI
Venue
2017
10.1137/16M1082676
MULTISCALE MODELING & SIMULATION
Keywords
DocType
Volume
tensor networks,coarse-graining,Ising models,impurity methods,skeletonization
Journal
15
Issue
ISSN
Citations 
4
1540-3459
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
Lexing Ying11273103.92