Vidal, G. (2011). Perimeter Institute Pedagogical Introduction: Tensor Networks and Geometry, the Renormalization Group and AdS/CFT . Perimeter Institute for Theoretical Physics. https://pirsa.org/10100098
MLA
Vidal, Guifre. Perimeter Institute Pedagogical Introduction: Tensor Networks and Geometry, the Renormalization Group and AdS/CFT . Perimeter Institute for Theoretical Physics, Oct. 25, 2011, https://pirsa.org/10100098
BibTex
@misc{ scivideos_PIRSA:10100098,
doi = {10.48660/10100098},
url = {https://pirsa.org/10100098},
author = {Vidal, Guifre},
keywords = {},
language = {en},
title = {Perimeter Institute Pedagogical Introduction: Tensor Networks and Geometry, the Renormalization Group and AdS/CFT },
publisher = {Perimeter Institute for Theoretical Physics},
year = {2011},
month = {oct},
note = {PIRSA:10100098 see, \url{https://scivideos.org/index.php/pirsa/10100098}}
}
One might be confused by the proliferation of tensor network states, such as MPS, PEPS, tree tensor networks [TTN], MERA, etc. What is the main difference between them? In this talk I will argue that the geometry of a tensor network determines several properties of the state that is being represented, such as the asymptotic scaling of correlations and of entanglement entropy. I will also describe the relation between the MERA and the Renormalization Group, and will review Brian Swingle
