Entanglement Cost under Positive-Partial-Transpose-Preserving Operations
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- 16 January 2003
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 90 (2) , 027901
- https://doi.org/10.1103/physrevlett.90.027901
Abstract
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. Then we prove that for the antisymmetric Werner state PPT cost and PPT entanglement of distillation coincide. This is the first example of a truly mixed state for which entanglement manipulation is asymptotically reversible, which points towards a unique entanglement measure under PPT operations.Keywords
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