On the characterization of entanglement
On the characterization of entanglement
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DOI：
10.1080/09500340008244048
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发表时间：
1998-07
影响因子：
1.3
通讯作者：
G. Vidal
中科院分区：
文献类型：
--
作者：
G. Vidal
在N方复合系统的背景下，对定义在其状态集合上的纠缠量进行了一些考虑。一个最小的必要和充分的要求，任何这样的幅度必须满足，如果它是非增加下的N个经典通信方的本地行动。借助于满足这些条件的一些量值，证明了与渐近极限相反，一个单一的度量不足以量化两方系统的纯态纠缠，而提供了一个最小的参数集，完全表征它。结果表明，在复合系统的经典相关局部变换下，不等于纯态纠缠熵的大小可以是可加的，最多也是守恒的。另一种表征的可分离状态，在一组经典相关的局部变换，也提出了。
In the context of N-party composite systems some considerations about entanglement magnitudes defined on the set of their states are made. A minimal set of necessary and sufficient requirements any such magnitude has to fulfil if it is to be non-increasing under the local action of the N classically communicating parties is presented. With the help of some magnitudes satisfying these conditions it is proved that, contrary to what happens in the asymptotic limit, one single measure is not sufficient to quantify the entanglement of pure states of two-party systems, while providing a minimal set of parameters that characterize it completely. It is shown that a magnitude not equivalent to the entropy of entanglement for pure states can be both additive and at most conserved under classically correlated local transformations of the composite system. An alternative characterization of separable states, in terms of the set of classically correlated local transformations, is also presented.