  The presence of correlations in physical systems can be a valuable resource
for many quantum information tasks. They are also relevant in thermodynamic
transformations, and their creation is usually associated to some energetic
cost. In this work, we study the role of correlations in the thermodynamic
process of state formation in the single-shot regime, and find that
correlations can also be viewed as a resource. First, we show that the
energetic cost of creating multiple copies of a given state can be reduced by
allowing correlations in the final state. We obtain the minimum cost for every
finite number of subsystems, and then we show that this feature is not
restricted to the case of copies. More generally, we demonstrate that in the
asymptotic limit, by allowing a logarithmic amount of correlations, we can
recover standard results where the free energy quantifies this minimum cost.
