PIRSA:10100098 Conference

DOI10.48660/10100098

Conference/School: Tensor Networks for Quantum Field Theories Conference - 2011

Vidal, G. (2011). Perimeter Institute Pedagogical Introduction: Tensor Networks and Geometry, the Renormalization Group and AdS/CFT . Perimeter Institute. https://pirsa.org/10100098

Vidal, Guifre. Perimeter Institute Pedagogical Introduction: Tensor Networks and Geometry, the Renormalization Group and AdS/CFT . Perimeter Institute, Oct. 25, 2011, https://pirsa.org/10100098 

@misc{ pirsa_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},
  year = {2011},
  month = {oct},
  note = {PIRSA:10100098 see, \url{https://pirsa.org}}
}

Abstract

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

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