Publications Repository - Gdańsk University of Technology

It has been recently shown, that some of the tripartite boxes admittin g bilocal decom- position, lead to non-locality under wiring operation applied to t wo 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 bo xes closed un- der wirings, we introduce multipartite monotones which are count erparts of bipartite ones - the non-locality cost and robustness of non-locality. We then pr ovide analytical lower bounds on both the monotones in terms of the Maximal Non-lo cality 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 fully bilocal decomposition. We study different classes of partially local boxes (i.e. having local variable model with respect to some grouping of the parties). For each class the MWN is found, using the Linear Programming. The wirings which l ead to the MWN and exhibit that some of them can serve as a witness of the certain classes are a lso iden- tified. We conclude with example of partially local boxes being analo gue of quantum states that allow to distribute entanglement in separable manner

Authors

• dr inż. Jan Tuziemski link open in new tab ,
• Karol Horodecki