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An improved bound on distillable entanglement

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arxiv quant-ph/9809082 v2 pith:PFYIW5G7 submitted 1998-09-28 quant-ph

An improved bound on distillable entanglement

classification quant-ph
keywords boundadditiveentanglementgivedistillableargumentbestbounds
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The best bound known on 2-locally distillable entanglement is that of Vedral and Plenio, involving a certain measure of entanglement based on relative entropy. It turns out that a related argument can be used to give an even stronger bound; we give this bound, and examine some of its properties. In particular, and in contrast to the earlier bounds, the new bound is not additive in general. We give an example of a state for which the bound fails to be additive, as well as a number of states for which the bound is additive.

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    Semidefinite optimization yields arbitrarily tight upper and lower bounds on the quantum relative entropy of channels via discretized linearization of an integral representation.