Purification of noisy entanglement and faithful teleportation via noisy channels.

@article{Bennett1996PurificationON,
  title={Purification of noisy entanglement and faithful teleportation via noisy channels.},
  author={Bennett and Brassard and Popescu and Schumacher and Smolin and Wootters},
  journal={Physical review letters},
  year={1996},
  volume={76 5},
  pages={
          722-725
        }
}
Two separated observers, by applying local operations to a supply of not-too-impure entangled states ({\em e.g.} singlets shared through a noisy channel), can prepare a smaller number of entangled pairs of arbitrarily high purity ({\em e.g.} near-perfect singlets). These can then be used to faithfully teleport unknown quantum states from one observer to the other, thereby achieving faithful transfrom one observer to the other, thereby achieving faithful transmission of quantum information… 

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