Holographic Mutual Information is Monogamous

Details Holographic Mutual Information is Monogamous Holographic Mutual Information is Monogamous

2011-07-14

arxiv.org/abs/1107.2940v1

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 1 figure

Scientific paper

We identify a special information-theoretic property of quantum field theories with holographic duals: the mutual informations among arbitrary disjoint spatial regions A,B,C obey the inequality I(A:BC) >= I(A:B)+I(A:C), provided entanglement entropies are given by the Ryu-Takayanagi 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 Ryu-Takayanagi formula is consistent with all known general inequalities obeyed by the entanglement entropy, including an infinite set recently discovered by Cadney, Linden, and Winter; this constitutes strong evidence in favour of its validity.

Affiliated with

Also associated with

No associations

Rating

Holographic Mutual Information is Monogamous does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Holographic Mutual Information is Monogamous, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Holographic Mutual Information is Monogamous will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-224288