No-broadcasting of non-signalling boxes via operations which transform local boxes into local ones

Details No-broadcasting of non-signalling boxes via operations which transform local boxes into local ones No-broadcasting of non-signalling boxes via operations which transform local boxes into local ones

2011-11-08

arxiv.org/abs/1111.1781v1

Physics

Quantum Physics

8 pages, 2 figures

Scientific paper

We deal with families of probability distributions satisfying non-signalling condition, called non-signalling boxes and consider class of operations that transform local boxes into local ones (the one that admit LHV model). We prove that any operation from this class can not broadcast a nonlocal box in 2x2 case. 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.

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