2015年7月
Surface/state correspondence as a generalized holography
PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS
- ,
- 巻
- 2015
- 号
- 7
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1093/ptep/ptv089
- 出版者・発行元
- OXFORD UNIV PRESS INC
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.
- リンク情報
- ID情報
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- DOI : 10.1093/ptep/ptv089
- ISSN : 2050-3911
- Web of Science ID : WOS:000359640900007