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Mar 24, 2013 at 21:47 comment added Mark Mitchison Aha so I didn't understand your question then, sorry. The problem is indeed different if Bob knows the unitaries for each set. I'll think about it!
Mar 24, 2013 at 21:34 comment added Ando Masahashi Thanks for the insight I think your operational interpretation is correct. However it doesn't address completely my question, the thing is that Bob knows the set of unitaries in every realization, which means that if $n$ is small $\rho_B$ is not the maximally mixed state.
Mar 24, 2013 at 21:19 history answered Mark Mitchison CC BY-SA 3.0