De Sitter Space as a Tensor Network: Cosmic No-Hair, Complementarity, and Complexity

@article{Bao2017DeSS,
  title={De Sitter Space as a Tensor Network: Cosmic No-Hair, Complementarity, and Complexity},
  author={Ning Bao and ChunJun Cao and S. Carroll and Aidan Chatwin-Davies},
  journal={Physical Review D},
  year={2017},
  volume={96},
  pages={123536}
}
We investigate the proposed connection between de Sitter spacetime and the multiscale entanglement renormalization ansatz (MERA) tensor network, and ask what can be learned via such a construction. We show that the quantum state obeys a cosmic no-hair theorem: the reduced density operator describing a causal patch of the MERA asymptotes to a fixed point of a quantum channel, just as spacetimes with a positive cosmological constant asymptote to de Sitter space. The MERA is potentially compatible… Expand
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