Role of local and global geometry in entanglement percolation

@article{Lapeyre2014RoleOL,
  title={Role of local and global geometry in entanglement percolation},
  author={G. Lapeyre},
  journal={Physical Review A},
  year={2014},
  volume={89}
}
We prove that enhanced entanglement percolation via lattice transformation is possible even if the new lattice is more poorly connected in that: i) the coordination number (a local property) decreases, or ii) the classical percolation threshold (a global property) increases. In searching for protocols to transport entanglement across a network, it seems reasonable to try transformations that increase connectivity. In fact, all examples that we are aware of violate both conditions i and ii. One… Expand

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