Audenaert K, Plenio M B, Eisert J
QOLS, Blackett Laboratory, Imperial College of Science, Technology and Medicine, London, SW7 2BW, United Kingdom.
Phys Rev Lett. 2003 Jan 17;90(2):027901. doi: 10.1103/PhysRevLett.90.027901. Epub 2003 Jan 16.
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.
我们研究了在保持部分转置正性的量子操作（PPT操作）下的纠缠代价。我们证明了这种代价与对数负性直接相关，从而为这种纠缠度量提供了操作解释。作为例子，我们讨论了一般的韦纳态和任意的二分高斯态。然后我们证明，对于反对称韦纳态，PPT代价和PPT蒸馏纠缠是一致的。这是真正混合态的第一个例子，其纠缠操纵是渐近可逆的，这指向了PPT操作下唯一的纠缠度量。
