2015/03/12 by Masamichi Miyaji, Tadashi Takayanagi · 1 citation
Physics and Astronomy · #hep-th #cond-mat.str-el #gr-qc
paper · pdf · doi:10.1093/ptep/ptv089
28 pages, 4 figures, Latex
arxiv created 2015/03/12 · arxiv updated 2015/07/15
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 any existence of boundaries in gravitational spacetimes. The present idea is motivated by the recent interpretation of AdS/CFT in terms of the tensor networks so called MERA. Moreover, we study this correspondence from the viewpoint of entanglement entropy and information metric. The Cramer-Rao bound in quantum estimation theory implies that the quantum fluctuations of radial coordinate of the AdS is highly suppressed in the large N limit.