The entanglement cost under operations preserving the positivity of partial transpose

Details The entanglement cost under operations preserving the positivity of partial transpose The entanglement cost under operations preserving the positivity of partial transpose

2002-07-25

arxiv.org/abs/quant-ph/0207146v1

Phys. Rev. Lett. 90, 027901 (2003)

Physics

Quantum Physics

4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.90.027901

We study the entanglement cost under quantum operations preserving the positivity of the partial transpose (PPT-operations). We demonstrate that this cost is directly related to the logarithmic negativity, thereby providing the operational interpretation for this easily computable entanglement measure. As examples we discuss general Werner states and arbitrary bi-partite Gaussian states. Equipped with this result we then prove that for the anti-symmetric Werner state PPT-cost and PPT-entanglement of distillation coincide giving the first example of a truly mixed state for which entanglement manipulation is asymptotically reversible.

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