  The scenario of remote state preparation with shared correlated quantum state
and one bit of forward communication [B. Dakic et al. Nature Physics 8, 666-670
(2012)] is considered. The transmission efficiency is examined by considering
general encoding and decoding strategies. The importance of use of linear
fidelity is recognized. It is shown that separable states cannot exceed the
efficiency of entangled states in this protocol. It is proven however that such
a surprising phenomena may naturally occur when the decoding agent has limited
resources in the sense that either (i) has no information about the coordinates
in the sender plane being in question or (ii) is forced to use bistochastic
operations only which may be imposed by physically inconvenient local
thermodynamical conditions.
