100 citations · 248 across the 7 of their papers we have counts for
5 papers · 1 filter
TensorNetwork on TensorFlow: A Spin Chain Application Using Tree Tensor Networks
Ashley Milsted, Martin Ganahl, Stefan Leichenauer +2
TensorNetwork is an open source library for implementing tensor network algorithms in TensorFlow. We describe a tree tensor network (TTN) algorithm for approximating the ground sta…
Conformal fields and operator product expansion in critical quantum spin chains
Yijian Zou, Ashley Milsted, Guifre Vidal
We propose a variational method for identifying lattice operators in a critical quantum spin chain with scaling operators in the underlying conformal field theory (CFT). In particu…
Tensor networks as path integral geometry
Ashley Milsted, Guifre Vidal
In the context of a quantum critical spin chain whose low energy physics corresponds to a conformal field theory (CFT), it was recently demonstrated [A. Milsted G. Vidal, arXiv:180…
Tensor networks as conformal transformations
Ashley Milsted, Guifre Vidal
Tensor networks are often used to accurately represent ground states of quantum spin chains. Two popular choices of such tensor network representations can be seen to implement lin…
Extraction of conformal data in critical quantum spin chains using the Koo-Saleur formula
Ashley Milsted, Guifre Vidal
We study the emergence of two-dimensional conformal symmetry in critical quantum spin chains on the finite circle. Our goal is to characterize the conformal field theory (CFT) desc…