Holographic mutual information is monogamous
Abstract
We identify a special informationtheoretic property of quantum field theories with holographic duals: the mutual informations among arbitrary disjoint spatial regions A, B, C obey the inequality I(A∶B∪C)≥I(A∶B)+I(A∶C), provided entanglement entropies are given by the RyuTakayanagi formula. Inequalities of this type are known as monogamy relations and are characteristic of measures of quantum entanglement. This suggests that correlations in holographic theories arise primarily from entanglement rather than classical correlations. We also show that the RyuTakayanagi formula is consistent with all known general inequalities obeyed by the entanglement entropy, including an infinite set recently discovered by Cadney et al.; this constitutes strong evidence in favor of its validity.
 Publication:

Physical Review D
 Pub Date:
 February 2013
 DOI:
 10.1103/PhysRevD.87.046003
 arXiv:
 arXiv:1107.2940
 Bibcode:
 2013PhRvD..87d6003H
 Keywords:

 11.25.Tq;
 04.60.Cf;
 Gauge/string duality;
 Gravitational aspects of string theory;
 High Energy Physics  Theory;
 Quantum Physics
 EPrint:
 21 pages, 1 figure