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2018

Holographic entropy relations

Hubeny, Veronika E., Rangamani, Mukund, Rota, Massimiliano

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We develop a framework for the derivation of new information theoretic quantities which are natural from a holographic perspective.

We demonstrate the utility of our techniques by deriving the tripartite information (the quantity associated to monogamy of mutual information) using a set of abstract arguments involving bulk extremal surfaces.
Our arguments rely on formal manipulations of surfaces and not on local surgery or explicit computation of entropies through the holographic entanglement entropy prescriptions.
As an application, we show how to derive a family of similar information quantities for an arbitrary number of parties.

Holographic entropy relations · Around

Built on

E. H. Lieb and M. B. Ruskai, Proof of the strong subadditivity of quantum-mechanical entropy
1941
Earlier work this paper cites.
H. Araki and E. H. Lieb, Entropy inequalities
1970
Earlier work this paper cites.
N. Pippenger, The inequalities of quantum information theory
2003
Earlier work this paper cites.
P. Hayden, R. Jozsa, D. Petz, and A. Winter, Structure of states which satisfy strong subadditivity of quantum entropy with equality
2004
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT
2006
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani, and T. Takayanagi, A Covariant holographic entanglement entropy proposal
Original
2007
Earlier work this paper cites.
M. Headrick and T. Takayanagi, A Holographic proof of the strong subadditivity of entanglement entropy
Original
2007
Earlier work this paper cites.
M. Van Raamsdonk, Building up spacetime with quantum entanglement
Original
2010
Earlier work this paper cites.
M. Headrick, Entanglement Renyi entropies in holographic theories
Original
2010
Earlier work this paper cites.
L. Zhang and J. Wu, On conjectures of classical and quantum correlations in bipartite states
Original
2012
Earlier work this paper cites.
J. Maldacena and L. Susskind, Cool horizons for entangled black holes
Original
2013
Earlier work this paper cites.
P. Hayden, M. Headrick, and A. Maloney, Holographic Mutual Information is Monogamous
Original
2013
Earlier work this paper cites.

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arXiv:1609.00026
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