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J. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38
1999
Earlier work this paper cites.
B. M. Terhal, M. Horodecki, D. W. Leung, and D. P. DiVincenzo, The entanglement of purification, J. Math. Phys 43
2002
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from the anti-de-Sitter space/conformal field theory correspondence, Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Aspects of holographic entanglement entropy, JHEP 2006
2006
Earlier work this paper cites.
Y. Shi, L. Duan, and G. Vidal, Classical simulation of quantum many-body systems with a tree tensor network, Phys. Rev. A 74
2006
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani, and T. Takayanagi, A covariant holographic entanglement entropy proposal, JHEP 2007
Original
2007
Earlier work this paper cites.
G. Vidal, Entanglement renormalization, Phys. Rev. Lett. 99
2007
Earlier work this paper cites.
G. Vidal, Class of quantum many-body states that can be efficiently simulated, Phys. Rev. Lett. 101
2008
Earlier work this paper cites.

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2019

Holographic Tensor Networks in Full AdS/CFT

Bao, Ning, Penington, Geoffrey, Sorce, Jonathan et al.

Understand

We present a general procedure for constructing tensor networks for geometric states in the Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence.

Given a state in a large-$N$ CFT with a static, semiclassical gravitational dual, our procedure produces a tensor network for the boundary state whose internal geometry matches (a discretization of) the bulk spacetime geometry.
By invoking the "holographic entanglement of purification" conjecture, our construction can be made to capture the structure of the bulk spacetime at sub-AdS scales.

Built on

J. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38
1999
Earlier work this paper cites.
B. M. Terhal, M. Horodecki, D. W. Leung, and D. P. DiVincenzo, The entanglement of purification, J. Math. Phys 43
2002
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from the anti-de-Sitter space/conformal field theory correspondence, Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Aspects of holographic entanglement entropy, JHEP 2006
2006
Earlier work this paper cites.
Y. Shi, L. Duan, and G. Vidal, Classical simulation of quantum many-body systems with a tree tensor network, Phys. Rev. A 74
2006
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani, and T. Takayanagi, A covariant holographic entanglement entropy proposal, JHEP 2007
Original
2007
Earlier work this paper cites.
G. Vidal, Entanglement renormalization, Phys. Rev. Lett. 99
2007
Earlier work this paper cites.
G. Vidal, Class of quantum many-body states that can be efficiently simulated, Phys. Rev. Lett. 101
2008
Earlier work this paper cites.