Built on

M. Srednicki, Chaos and quantum thermalization , Phys. Rev. E 50
1994
Earlier work this paper cites.
J. M. Maldacena, The Large N limit of superconformal field theories and supergravity , Adv.Theor.Math.Phys. 2
1998
Earlier work this paper cites.
S. Gubser, I. R. Klebanov and A. M. Polyakov, Gauge theory correlators from noncritical string theory , Phys.Lett. B428
1998
Earlier work this paper cites.
E. Witten, Anti-de Sitter space and holography , Adv.Theor.Math.Phys. 2
1998
Earlier work this paper cites.
I. Peschel, Calculation of reduced density matrices from correlation functions , Journal of Physics A Mathematical General 36
2003
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT , Phys.Rev.Lett. 96
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Aspects of Holographic Entanglement Entropy , JHEP 08
2006
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani and T. Takayanagi, A Covariant holographic entanglement entropy proposal , JHEP 07
Original
2007
Earlier work this paper cites.
M. Headrick and T. Takayanagi, A Holographic proof of the strong subadditivity of entanglement entropy , Phys.Rev. D76
Original
2007
Earlier work this paper cites.
J. Abajo-Arrastia, J. Aparicio and E. Lopez, Holographic Evolution of Entanglement Entropy , JHEP 11
Original
2010
Earlier work this paper cites.
B. Swingle, Entanglement Renormalization and Holography , Phys. Rev. D86
Original
2012
Earlier work this paper cites.

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2018

Modular Flow as a Disentangler

Chen, Yiming, Dong, Xi, Lewkowycz, Aitor et al.

Understand

In holographic duality, the entanglement entropy of a boundary region is proposed to be dual to the area of an extremal codimension-2 surface that is homologous to the boundary region, known as the Hubeny-Rangamani-Takayanagi (HRT) surface.

In this paper, we study when the HRT surfaces of two boundary subregions R, A are in the same Cauchy slice.
This condition is necessary for the subregion-subregion mapping to be local for both subregions and for states to have a tensor network description.
To quantify this, we study the area of a surface that is homologous to A and is extremal except at possible intersections with the HRT surface of R (minimizing over all such possible surfaces), which we call the constrained area.

Built on

M. Srednicki, Chaos and quantum thermalization , Phys. Rev. E 50
1994
Earlier work this paper cites.
J. M. Maldacena, The Large N limit of superconformal field theories and supergravity , Adv.Theor.Math.Phys. 2
1998
Earlier work this paper cites.
S. Gubser, I. R. Klebanov and A. M. Polyakov, Gauge theory correlators from noncritical string theory , Phys.Lett. B428
1998
Earlier work this paper cites.
E. Witten, Anti-de Sitter space and holography , Adv.Theor.Math.Phys. 2
1998
Earlier work this paper cites.
I. Peschel, Calculation of reduced density matrices from correlation functions , Journal of Physics A Mathematical General 36
2003
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT , Phys.Rev.Lett. 96
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Aspects of Holographic Entanglement Entropy , JHEP 08
2006
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani and T. Takayanagi, A Covariant holographic entanglement entropy proposal , JHEP 07
Original
2007
Earlier work this paper cites.
M. Headrick and T. Takayanagi, A Holographic proof of the strong subadditivity of entanglement entropy , Phys.Rev. D76
Original
2007
Earlier work this paper cites.
J. Abajo-Arrastia, J. Aparicio and E. Lopez, Holographic Evolution of Entanglement Entropy , JHEP 11
Original
2010
Earlier work this paper cites.
B. Swingle, Entanglement Renormalization and Holography , Phys. Rev. D86
Original
2012
Earlier work this paper cites.