Bit Threads and Holographic Entanglement

@article{Freedman2016BitTA,
  title={Bit Threads and Holographic Entanglement},
  author={Michael H. Freedman and Matthew Headrick},
  journal={Communications in Mathematical Physics},
  year={2016},
  volume={352},
  pages={407-438}
}
The Ryu-Takayanagi (RT) formula relates the entanglement entropy of a region in a holographic theory to the area of a corresponding bulk minimal surface. Using the max flow-min cut principle, a theorem from network theory, we rewrite the RT formula in a way that does not make reference to the minimal surface. Instead, we invoke the notion of a “flow”, defined as a divergenceless norm-bounded vector field, or equivalently a set of Planck-thickness “bit threads”. The entanglement entropy of a… 
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  • V. Hubeny
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    Journal of High Energy Physics
  • 2018
A bstractWe use the ‘bit thread’ formulation of holographic entanglement entropy to highlight the distinction between the universally-valid strong subadditivity and the more restrictive relation
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