General theory of environment-assisted entanglement distillation

TL;DR

This paper develops a comprehensive theory for environment-assisted entanglement distillation, providing new bounds and operational interpretations for one-shot and asymptotic scenarios in bipartite quantum states.

Contribution

It introduces a novel characterization of one-shot entanglement of assistance and distillable entanglement, surpassing previous hashing bounds for pure states.

Findings

Derived a stronger one-shot entanglement of assistance bound.

Provided a new characterization of one-shot distillable entanglement for pure states.

Connected one-shot results to the asymptotic entanglement of assistance with operational meaning.

Abstract

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 in [Smolin et al., Phys. Rev. A 72, 052317 (2005)].