Quantum error correction and holographic information from bilocal holography

Abstract Bilocal holography is a constructive approach to the higher spin theory holographically dual to O(N ) vector models. In contrast to other approaches to bulk reconstruction, bilocal holography does not take input from the dual gravitational theory. The resulting map is a complete bulk/bounda...

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Autores principales:	Robert de Mello Koch, Eunice Gandote, Nirina Hasina Tahiridimbisoa, Hendrik J.R. Van Zyl
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	1/N Expansion AdS-CFT Correspondence Higher Spin Symmetry Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/16d81902e6464e6db46a15b30bf97cd6
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spelling	oai:doaj.org-article:16d81902e6464e6db46a15b30bf97cd62021-11-28T12:39:35ZQuantum error correction and holographic information from bilocal holography10.1007/JHEP11(2021)1921029-8479https://doaj.org/article/16d81902e6464e6db46a15b30bf97cd62021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)192https://doaj.org/toc/1029-8479Abstract Bilocal holography is a constructive approach to the higher spin theory holographically dual to O(N ) vector models. In contrast to other approaches to bulk reconstruction, bilocal holography does not take input from the dual gravitational theory. The resulting map is a complete bulk/boundary mapping in that it maps the complete set of O(N ) invariant degrees of freedom in the CFT, to the complete set of higher spin degrees of freedom. After restricting to a suitable code subspace we demonstrate that bilocal holography naturally reproduces the quantum error correcting properties of holography and it gives a robust bulk (entanglement wedge) reconstruction. A gauge invariant entangled pair of CFT degrees of freedom are naturally smeared over a semicircle in the bulk spacetime, which is highly suggestive of bit threads. Finally, we argue that finite N relations in the CFT, when interpreted in the dual AdS spacetime, can provide relations between degrees of freedom located near the boundary and degrees of freedom deep in the bulk.Robert de Mello KochEunice GandoteNirina Hasina TahiridimbisoaHendrik J.R. Van ZylSpringerOpenarticle1/N ExpansionAdS-CFT CorrespondenceHigher Spin SymmetryNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-30 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	1/N Expansion AdS-CFT Correspondence Higher Spin Symmetry Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	1/N Expansion AdS-CFT Correspondence Higher Spin Symmetry Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Robert de Mello Koch Eunice Gandote Nirina Hasina Tahiridimbisoa Hendrik J.R. Van Zyl Quantum error correction and holographic information from bilocal holography
description	Abstract Bilocal holography is a constructive approach to the higher spin theory holographically dual to O(N ) vector models. In contrast to other approaches to bulk reconstruction, bilocal holography does not take input from the dual gravitational theory. The resulting map is a complete bulk/boundary mapping in that it maps the complete set of O(N ) invariant degrees of freedom in the CFT, to the complete set of higher spin degrees of freedom. After restricting to a suitable code subspace we demonstrate that bilocal holography naturally reproduces the quantum error correcting properties of holography and it gives a robust bulk (entanglement wedge) reconstruction. A gauge invariant entangled pair of CFT degrees of freedom are naturally smeared over a semicircle in the bulk spacetime, which is highly suggestive of bit threads. Finally, we argue that finite N relations in the CFT, when interpreted in the dual AdS spacetime, can provide relations between degrees of freedom located near the boundary and degrees of freedom deep in the bulk.
format	article
author	Robert de Mello Koch Eunice Gandote Nirina Hasina Tahiridimbisoa Hendrik J.R. Van Zyl
author_facet	Robert de Mello Koch Eunice Gandote Nirina Hasina Tahiridimbisoa Hendrik J.R. Van Zyl
author_sort	Robert de Mello Koch
title	Quantum error correction and holographic information from bilocal holography
title_short	Quantum error correction and holographic information from bilocal holography
title_full	Quantum error correction and holographic information from bilocal holography
title_fullStr	Quantum error correction and holographic information from bilocal holography
title_full_unstemmed	Quantum error correction and holographic information from bilocal holography
title_sort	quantum error correction and holographic information from bilocal holography
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/16d81902e6464e6db46a15b30bf97cd6
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Quantum error correction and holographic information from bilocal holography

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