On the rates of asymptotic bipartite entanglement transformations for mixed states

Michał Horodecki, Aditi Sen De, Ujjwal Sen · arXiv (Cornell University) · 2002

In this paper, we investigate the asymptotic rates of entanglement transformations for bipartite mixed states. We analyse the relations between the rates for different transitions and obtain simple lower and upper bound for these transitions. We show that in a transition from one mixed state to another and back, the amount of irreversibility could be different for different target states. Thus in a natural way, we get the concept of "amount" of irreversibility in asymptotic manipulations of entanglement. In the process, we obtain that the entanglement of formation is additive for all maximally correlated states. This allows us to show irreversibility in asymptotic entanglement manipulations for maximally correlated states in 2X2.

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