PIRSA:12060070

Video URL

https://pirsa.org/12060070

Holographic Mutual Information is Monogamous

Hayden, P. (2012). Holographic Mutual Information is Monogamous. Perimeter Institute for Theoretical Physics. https://pirsa.org/12060070

Hayden, Patrick. Holographic Mutual Information is Monogamous. Perimeter Institute for Theoretical Physics, Jun. 28, 2012, https://pirsa.org/12060070 

          @misc{ scivideos_PIRSA:12060070,
            doi = {10.48660/12060070},
            url = {https://pirsa.org/12060070},
            author = {Hayden, Patrick},
            keywords = {Quantum Information},
            language = {en},
            title = {Holographic Mutual Information is Monogamous},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2012},
            month = {jun},
            note = {PIRSA:12060070 see, \url{https://scivideos.org/index.php/pirsa/12060070}}
          }

Patrick Hayden Stanford University

Talk numberPIRSA:12060070
DOI10.48660/12060070
Source RepositoryPIRSA
Collection
Talk Type Conference
Subject

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.