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Title: Surface/state correspondence as a generalized holography
Authors: Miyaji, Masamichi
Takayanagi, Tadashi  kyouindb  KAKEN_id
Author's alias: 高柳, 匡
Keywords: B21
B24
Issue Date: 15-Jul-2015
Publisher: Oxford University Press
Journal title: Progress of Theoretical and Experimental Physics
Volume: 2015
Issue: 7
Thesis number: 073B03
Abstract: We propose a new duality relation between codimension-two space-like surfaces in gravitational theories and quantum states in dual Hilbert spaces. This surface/state correspondence largely generalizes the idea of holography such that we do not need to rely on the existence of boundaries in gravitational spacetimes. The present idea is motivated by the recent interpretation of anti-de Sitter space/conformal field theory (AdS/CFT) in terms of the tensor networks, so-called MERA (multi-scale entanglement renormalization ansatz). Moreover, we study this correspondence from the viewpoint of entanglement entropy and an information metric. The Cramer–Rao bound in quantum estimation theory implies that the quantum fluctuations of the radial coordinate of the AdS are highly suppressed in the large-N limit.
Description: Funded by SCOAP3
Rights: © The Author(s) 2015. Published by Oxford University Press on behalf of the Physical Society of Japan.
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
URI: http://hdl.handle.net/2433/202764
DOI(Published Version): 10.1093/ptep/ptv089
Appears in Collections:Journal Articles

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