General Theory of Environment-Assisted Entanglement Distillation

Francesco Buscemi, Nilanjana Datta · IEEE Transactions on Information Theory · 2012

We evaluate the one-shot entanglement of assistance for an arbitrary bipartite state. This yields another interesting result, namely a characterization of the one-shot distillable entanglement of a bipartite pure state. This result is shown to be stronger than that obtained by specializing the one-shot hashing bound to pure states. Finally, we show how the one-shot result yields the operational interpretation of the asymptotic entanglement of assistance proved by Smolin and coworkers.

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