关于接线引出的三方无信号盒的非局部性
On the non-locality of tripartite non-signaling boxes emerging from wirings
摘要：
最近的研究表明，某些允许双局部分解的三分盒在应用于两个子系统的接线操作下导致非局部性[R。Gallego等人Physical Review Letters 109，070401（2012）]。下面，我们对这一现象进行定量研究。基于已知的布线封闭盒类，我们引入了多部单调，这是对应的二部的-非局部性成本和非局部性的鲁棒性。然后，我们提供分析的最大非局部性，可以通过布线（MWN）的单调性的下界。我们还证明了上界的MWN的一个给定的盒子，在一个特定的方向上，出现在其双局部分解的盒子信令的重量的基础上。我们研究了不同类别的局部盒，并找到MWN为每个类，使用线性规划。我们还确定了布线，导致MWN和展览，其中一些可以作为某些类的证人。最后，我们以部分局域盒作为量子态的模拟，允许以可分离的方式分配纠缠的例子。
英文摘要：
It has been recently shown, that some of the tripartite boxes admitting bilocal decomposition, lead to non-locality under wiring operation applied to two of the subsystems [R. Gallego et al. Physical Review Letters 109, 070401 (2012)]. In the following, we study this phenomenon quantitatively. Basing on the known classes of boxes closed under wirings, we introduced multipartite monotones which are counterparts of bipartite ones - the non-locality cost and robustness of non-locality. We then provide analytical lower bounds on both the monotones in terms of the Maximal Non-locality which can be obtained by Wirings (MWN). We prove also upper bounds for the MWN of a given box, based on the weight of boxes signaling in a particular direction, that appear in its bilocal decomposition. We study different classes of partially local boxes and find MWN for each class, using Linear Programming. We identify also the wirings which lead to MWN and exhibit that some of them can serve as a witness of certain classes. We conclude with example of partially local boxes being analogue of quantum states that allow to distribute entanglement in separable manner.
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