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Black Holes, Holography, and Quantum Error Correction

<!--HTML--><p>How can it be that a local quantum field theory in some number of spacetime dimensions can "fake" a local gravitational theory in a higher number of dimensions?&nbsp; How can the Ryu-Takayanagi Formula say that an entropy is equal to the expectation value of a...

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Autor principal: Harlow, Daniel
Lenguaje:eng
Publicado: 2017
Materias:
Acceso en línea:http://cds.cern.ch/record/2282573
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author Harlow, Daniel
author_facet Harlow, Daniel
author_sort Harlow, Daniel
collection CERN
description <!--HTML--><p>How can it be that a local quantum field theory in some number of spacetime dimensions can "fake" a local gravitational theory in a higher number of dimensions?&nbsp; How can the Ryu-Takayanagi Formula say that an entropy is equal to the expectation value of a local operator?&nbsp; Why do such things happen only in gravitational theories?&nbsp; In this talk I will explain how a new interpretation of the AdS/CFT correspondence as a quantum error correcting code provides satisfying answers to these questions, and more generally gives a natural way of generating simple models of the correspondence.&nbsp; No familiarity with AdS/CFT or quantum error correction is assumed, but the former would still be helpful. &nbsp;</p>
id cern-2282573
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2017
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spelling cern-22825732022-11-02T22:21:00Zhttp://cds.cern.ch/record/2282573engHarlow, DanielBlack Holes, Holography, and Quantum Error CorrectionBlack Holes, Holography, and Quantum Error CorrectionTheory Colloquium<!--HTML--><p>How can it be that a local quantum field theory in some number of spacetime dimensions can "fake" a local gravitational theory in a higher number of dimensions?&nbsp; How can the Ryu-Takayanagi Formula say that an entropy is equal to the expectation value of a local operator?&nbsp; Why do such things happen only in gravitational theories?&nbsp; In this talk I will explain how a new interpretation of the AdS/CFT correspondence as a quantum error correcting code provides satisfying answers to these questions, and more generally gives a natural way of generating simple models of the correspondence.&nbsp; No familiarity with AdS/CFT or quantum error correction is assumed, but the former would still be helpful. &nbsp;</p>oai:cds.cern.ch:22825732017
spellingShingle Theory Colloquium
Harlow, Daniel
Black Holes, Holography, and Quantum Error Correction
title Black Holes, Holography, and Quantum Error Correction
title_full Black Holes, Holography, and Quantum Error Correction
title_fullStr Black Holes, Holography, and Quantum Error Correction
title_full_unstemmed Black Holes, Holography, and Quantum Error Correction
title_short Black Holes, Holography, and Quantum Error Correction
title_sort black holes, holography, and quantum error correction
topic Theory Colloquium
url http://cds.cern.ch/record/2282573
work_keys_str_mv AT harlowdaniel blackholesholographyandquantumerrorcorrection