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arXiv · 1611.06220

Tensor networks for dynamic spacetimes

Alex May
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Abstract

Existing tensor network models of holography are limited to representing the geometry of constant time slices of static spacetimes. We study the possibility of describing the geometry of a dynamic spacetime using tensor networks. We find it is necessary to give a new definition of length in the network and propose a definition based on the mutual information. We show that by associating a set of networks with a single quantum state and making use of the mutual information based definition of length, a network analogue of the maximin formula can be used to calculate the entropy of boundary regions.

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Alex May. 2016-11-18. Tensor networks for dynamic spacetimes. https://doi.org/10.1007/jhep06(2017)118

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