The apex of the family tree of protocols: optimal rates and resource inequalities

@inproceedings{Datta2011TheAO,
  title={The apex of the family tree of protocols: optimal rates and resource inequalities},
  author={Nilanjana Datta and Min-Hsiu Hsieh},
  year={2011}
}
We establish bounds on the maximum entanglement gain and minimum quantum communication cost of the Fully Quantum Slepian-Wolf protocol in the one-shot regime, which is considered to be at the apex of the existing family tree in Quantum Information Theory. These quantities, which are expressed in terms of smooth minand max-entropies, reduce to the known rates of quantum communication cost and entanglement gain in the asymptotic i.i.d. scenario. We also provide an explicit proof of the optimality… CONTINUE READING

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