Surface/State Correspondence as a Generalized Holography
Surface/State Correspondence as a Generalized Holography
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DOI：
10.1093/ptep/ptv089
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发表时间：
2015-03
影响因子：
3.5
通讯作者：
Masamichi Miyaji;T. Takayanagi
中科院分区：
文献类型：
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作者：
Masamichi Miyaji;T. Takayanagi
提出了引力理论中的余维两类空曲面与对偶Hilbert空间中的量子态之间的一种新的对偶关系。这种表面/状态对应在很大程度上概括了全息术的概念，这样我们就不需要依赖于引力时空中任何边界的存在。目前的想法是受到最近对ADS/CFT的解释，即所谓的MERA张量网络的影响。此外，我们从纠缠熵和信息度规的角度研究了这种对应关系。量子估计论中的Cramer-Rao界表明，在大的N极限下，ADS的径向坐标的量子涨落被高度抑制。
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.