# 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…

## 151 Citations

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