# Black hole entanglement and quantum error correction

## Author(s): Verlinde, Erik; Verlinde, Herman L.

To refer to this page use: http://arks.princeton.edu/ark:/88435/pr1k69k
DC FieldValueLanguage
dc.contributor.authorVerlinde, Erik-
dc.contributor.authorVerlinde, Herman L.-
dc.date.accessioned2019-04-04T17:13:27Z-
dc.date.available2019-04-04T17:13:27Z-
dc.date.issued2013-10-17en_US
dc.identifier.citationVerlinde, Erik, Verlinde, Herman L. (2013). Black hole entanglement and quantum error correction. JOURNAL OF HIGH ENERGY PHYSICS, doi:10.1007/JHEP10(2013)107en_US
dc.identifier.issn1029-8479-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1k69k-
dc.description.abstractIt was recently argued in [1] that black hole complementarity strains the basic rules of quantum information theory, such as monogamy of entanglement. Motivated by this argument, we develop a practical framework for describing black hole evaporation via unitary time evolution, based on a holographic perspective in which all black hole degrees of freedom live on the stretched horizon. We model the horizon as a unitary quantum system with finite entropy, and do not postulate that the horizon geometry is smooth. We then show that, with mild assumptions, one can reconstruct local effective field theory observables that probe the black hole interior, and relative to which the state near the horizon looks like a local Minkowski vacuum. There construction makes use of the formalism of quantum error correcting codes, and works for black hole states who seen tanglement entropy does not yet saturate the Bekenstein-Hawking bound. Our general framework clarifies the black hole final state proposal, and allows a quantitative study of the transition into the “firewall” regime of maximally mixed black hole states.en_US
dc.language.isoen_USen_US
dc.relation.ispartofJOURNAL OF HIGH ENERGY PHYSICSen_US
dc.rightsFinal published version. This is an open access article.en_US
dc.titleBlack hole entanglement and quantum error correctionen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1007/JHEP10(2013)107-
dc.date.eissued2013-10-17en_US
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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