Holographic Mutual Information is Monogamous



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Recording Details

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PIRSA Number: 
12060070

Abstract

I'll describe 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. Moreover, monogamy property implies 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 significant evidence in favour of
its validity.