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Entanglement Cost under Positive-Partial-Transpose-Preserving Operations

Entanglement Cost under Positive-Partial-Transpose-Preserving Operations

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 entanglement measure. As examples we discuss general Werner states and arbitrary bipartite Gaussian states. …