scholarly journals Ryu-Takayanagi formula for symmetric random tensor networks

2018 ◽  
Vol 97 (12) ◽  
Author(s):  
Goffredo Chirco ◽  
Daniele Oriti ◽  
Mingyi Zhang
Keyword(s):  
Tensor Networks ◽  
Random Tensor

scholarly journals Entanglement transitions from holographic random tensor networks

2019 ◽  
Vol 100 (13) ◽  
Author(s):  
Romain Vasseur ◽  
Andrew C. Potter ◽  
Yi-Zhuang You ◽  
Andreas W. W. Ludwig
Keyword(s):  
Tensor Networks ◽  
Random Tensor

scholarly journals Holographic Entanglement in Group Field Theory

Universe ◽  
2019 ◽  
Vol 5 (10) ◽  
pp. 211 ◽  
Author(s):  
Goffredo Chirco
Keyword(s):  
Field Theory ◽  
Entanglement Entropy ◽  
Bipartite Network ◽  
Spin Network ◽  
Network State ◽  
Tensor Networks ◽  
Holographic Entanglement Entropy ◽  
Group Field Theory ◽  
Network States ◽  
Random Tensor

This work is meant as a review summary of a series of recent results concerning the derivation of a holographic entanglement entropy formula for generic open spin network states in the group field theory (GFT) approach to quantum gravity. The statistical group-field computation of the Rényi entropy for a bipartite network state for a simple interacting GFT is reviewed, within a recently proposed dictionary between group field theories and random tensor networks, and with an emphasis on the problem of a consistent characterisation of the entanglement entropy in the GFT second quantisation formalism.

scholarly journals Holographic coherent states from random tensor networks

2017 ◽  
Vol 2017 (8) ◽  
Author(s):  
Xiao-Liang Qi ◽  
Zhao Yang ◽  
Yi-Zhuang You
Keyword(s):  
Coherent States ◽  
Tensor Networks ◽  
Random Tensor

scholarly journals Petz reconstruction in random tensor networks

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Hewei Frederic Jia ◽  
Mukund Rangamani
Keyword(s):  
Boundary Data ◽  
Coarse Graining ◽  
Random Projections ◽  
Replica Trick ◽  
Tensor Networks ◽  
Tensor Network ◽  
Random Tensor

Abstract We illustrate the ideas of bulk reconstruction in the context of random tensor network toy models of holography. Specifically, we demonstrate how the Petz reconstruction map works to obtain bulk operators from the boundary data by exploiting the replica trick. We also take the opportunity to comment on the differences between coarse-graining and random projections.

scholarly journals Holographic duality from random tensor networks

2016 ◽  
Vol 2016 (11) ◽  
Author(s):  
Patrick Hayden ◽  
Sepehr Nezami ◽  
Xiao-Liang Qi ◽  
Nathaniel Thomas ◽  
Michael Walter ◽  
...  
Keyword(s):  
Tensor Networks ◽  
Holographic Duality ◽  
Random Tensor

scholarly journals RTNI—A symbolic integrator for Haar-random tensor networks

2019 ◽  
Vol 52 (42) ◽  
pp. 425303 ◽  
Author(s):  
Motohisa Fukuda ◽  
Robert König ◽  
Ion Nechita
Keyword(s):  
Tensor Networks ◽  
Random Tensor

Anyon Networks from Geometric Models of Matter

2021 ◽  
Author(s):  
Michael Atiyah ◽  
Matilde Marcolli
Keyword(s):  
Normal Bundle ◽  
Present Form ◽  
Joint Work ◽  
Geometric Models ◽  
Tensor Networks

Abstract This paper, completed in its present form by the second author after the first author passed away in 2019, describes an intended continuation of the previous joint work on anyons in geometric models of matter. This part outlines a construction of anyon tensor networks based on four-dimensional orbifold geometries and braid representations associated with surface-braids defined by multisections of the orbifold normal bundle of the surface of orbifold points.

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