  In recent years, exploring the possible use of separable states as resource
for achieving quantum information processing(QIP) tasks has been gaining
increasing significance. In this context, a particularly important
demonstration has been that non-vanishing discord is the necessary condition
for the separable states to be used as resource for remotely preparing any
arbitrary pure target state [Nature Physics $8$, $666$ $(2012)$]. The present
work stems from our observation that not only resource states with same discord
can imply different efficiencies (in terms of average fidelity) of the remote
state preparation (RSP) protocol, but also states with higher discord can imply
lower RSP efficiency. This, therefore, necessitates identification of the
relevant feature of quantum correlations which can appropriately quantify
effectiveness of the resource state for the RSP protocol. To this end, for the
two-qubit Bell-diagonal states, we show that an appropriate measure of
simultaneous correlations in three mutually unbiased bases can serve to
quantify usefulness of the resource for the RSP task using entangled as well as
separable states, including non-discordant states as resource. In particular,
it is revealed that zero-discord states having such non-vanishing measure can
be useful for remotely preparing a subset of pure target states. Thus, this
work shows that, using separable states, an effective resource for QIP tasks
such as RSP can be provided by simultaneous correlations in mutually unbiased
bases.
