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Deterministic entanglement concentration
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Deterministic extraction of Bell pairs from a finite number of partially entangled pairs is discussed. We derive the maximum number of Bell pairs that can be obtained with probability 1 by local operations and classical communication. It is proved that the optimal deterministic concentration needs only a two-pair collective manipulation in each step, and that a collective manipulation of all entangled pairs is not necessary. Finally, this scheme reveals an entanglement measure for the deterministic concentration.
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Error exponents for tripartite-to-bipartite entanglement transformations
For pure tripartite states, the optimal deterministic rate is the minimum of two min-entropies of entanglement, and the direct and strong converse error exponents are given by explicit rate formulas.
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