Tensor networks for dynamic spacetimes
High Energy Physics - Theory
2019-10-24 v4
Abstract
Existing tensor network models of holography are limited to representing the geometry of constant time slices of static spacetimes. We study the possibility of describing the geometry of a dynamic spacetime using tensor networks. We find it is necessary to give a new definition of length in the network and propose a definition based on the mutual information. We show that by associating a set of networks with a single quantum state and making use of the mutual information based definition of length, a network analogue of the maximin formula can be used to calculate the entropy of boundary regions.
Keywords
Cite
@article{arxiv.1611.06220,
title = {Tensor networks for dynamic spacetimes},
author = {Alex May},
journal= {arXiv preprint arXiv:1611.06220},
year = {2019}
}