Causal structure of the entanglement renormalization ansatz
Quantum Physics
2013-03-05 v4
Abstract
We show that the multiscale entanglement renormalization ansatz (MERA) can be reformulated in terms of a causality constraint on discrete quantum dynamics. This causal structure is that of de Sitter space with a flat spacelike boundary, where the volume of a spacetime region corresponds to the number of variational parameters it contains. This result clarifies the nature of the ansatz, and suggests a generalization to quantum field theory. It also constitutes an independent justification of the connection between MERA and hyperbolic geometry which was proposed as a concrete implementation of the AdS-CFT correspondence.
Keywords
Cite
@article{arxiv.1110.4872,
title = {Causal structure of the entanglement renormalization ansatz},
author = {Cédric Bény},
journal= {arXiv preprint arXiv:1110.4872},
year = {2013}
}