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J. M. Maldacena, The large n limit of superconformal field theories and supergravity
1997
Earlier work this paper cites.
O. Aharony, S. S. Gubser, J. Maldacena, H. Ooguri, and Y. Oz, Large n field theories, string theory and gravity
2000
Earlier work this paper cites.
H. Casini and M. Huerta, A Finite entanglement entropy and the c-theorem
2004
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
2006
Earlier work this paper cites.
J. Hammersley, Extracting the bulk metric from boundary information in asymptotically AdS spacetimes
2006
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani, and T. Takayanagi, A covariant holographic entanglement entropy proposal
2007
Earlier work this paper cites.
M. Headrick and T. Takayanagi, Holographic proof of the strong subadditivity of entanglement entropy
2007
Earlier work this paper cites.
S. Bilson, Extracting spacetimes using the AdS/CFT conjecture
Original
2008
Earlier work this paper cites.
Cambridge university press, 2010
M. A. Nielsen and I. L. Chuang, Quantum computation and quantum information · 2010
Earlier work this paper cites.

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2014

Inviolable energy conditions from entanglement inequalities

Lashkari, Nima, Rabideau, Charles, Sabella-Garnier, Philippe et al.

Understand

Via the AdS/CFT correspondence, fundamental constraints on the entanglement structure of quantum systems translate to constraints on spacetime geometries that must be satisfied in any consistent theory of quantum gravity.

In this paper, we investigate such constraints arising from strong subadditivity and from the positivity and monotonicity of relative entropy in examples with highly-symmetric spacetimes.
Our results may be interpreted as a set of energy conditions restricting the possible form of the stress-energy tensor in consistent theories of Einstein gravity coupled to matter.

Built on

J. M. Maldacena, The large n limit of superconformal field theories and supergravity
1997
Earlier work this paper cites.
O. Aharony, S. S. Gubser, J. Maldacena, H. Ooguri, and Y. Oz, Large n field theories, string theory and gravity
2000
Earlier work this paper cites.
H. Casini and M. Huerta, A Finite entanglement entropy and the c-theorem
2004
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
2006
Earlier work this paper cites.
J. Hammersley, Extracting the bulk metric from boundary information in asymptotically AdS spacetimes
2006
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani, and T. Takayanagi, A covariant holographic entanglement entropy proposal
2007
Earlier work this paper cites.
M. Headrick and T. Takayanagi, Holographic proof of the strong subadditivity of entanglement entropy
2007
Earlier work this paper cites.
S. Bilson, Extracting spacetimes using the AdS/CFT conjecture
Original
2008
Earlier work this paper cites.
Cambridge university press, 2010
M. A. Nielsen and I. L. Chuang, Quantum computation and quantum information · 2010
Earlier work this paper cites.