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|Title:||Surface/state correspondence as a generalized holography|
Takayanagi, Tadashi https://orcid.org/0000-0001-7187-3130 (unconfirmed)
|Author's alias:||高柳, 匡|
|Publisher:||Oxford University Press|
|Journal title:||Progress of Theoretical and Experimental Physics|
|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.
|Appears in Collections:||Journal Articles|
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