Holographic mutual information is monogamous

  title={Holographic mutual information is monogamous},
  author={Patrick M. Hayden and Matthew Headrick and Alexander Maloney},
  journal={Physical Review D},
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… 

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