Logarithmic negativity: A full entanglement monotone that is not convex
Logarithmic negativity: A full entanglement monotone that is not convex
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DOI：
10.1103/physrevlett.95.090503
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发表时间：
2005-08-26
影响因子：
8.6
通讯作者：
Plenio, MB
中科院分区：
文献类型：
--
作者：
Plenio, MB
证明了在一般正偏转置保持运算（将局部运算和经典通信作为子集的一组运算）下，对数负性平均不增加，并在此过程中进一步证明了在相同的运算集下，对数负性平均不增加。考虑到对数负性不是凸函数，这个结果令人惊讶，因为通常认为凸性描述了丢失信息的局部物理过程。讨论了凸性的作用，特别是它与物理过程的关系（或缺乏这种关系），并强调了在这种情况下连续性的重要性。
It is proven that logarithmic negativity does not increase on average under a general positive partial transpose preserving operation (a set of operations that incorporate local operations and classical communication as a subset) and, in the process, a further proof is provided that the negativity does not increase on average under the same set of operations. Given that the logarithmic negativity is not a convex function this result is surprising, as it is generally considered that convexity describes the local physical process of losing information. The role of convexity and, in particular, its relation (or lack thereof) to physical processes is discussed and importance of continuity in this context is stressed.