No-broadcasting of non-signalling boxes via operations which transform local boxes into local ones (pp0567-0582)
          P. Joshi, Andrzej Grudka, Karol Horodecki, Michal Horodecki, Pawel Horodecki, and Ryszard Horodecki
          doi: https://doi.org/10.26421/QIC13.7-8-2
Abstracts: We deal with families of probability distributions satisfying non-signalling condition, called non-signalling boxes and consider a class of operations that transform local boxes into local ones (the one that admit LHV model). We prove that any operation from this class cannot broadcast a bipartite non-local box with 2 binary inputs and outputs. We consider a function called anti-Robustness which can not decrease under these operations. The proof reduces to showing that anti-Robustness would decrease after broadcasting.
Key words: Non-signalling, broadcasting, polytope geometry, anti-robustness