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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

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 …