We establish a rigorous connection between fundamental resource theories at the quantum scale. Correlations
and entanglement constitute indispensable resources for numerous quantum information tasks. However, their
establishment comes at the cost of energy, the resource of thermodynamics, and is limited by the initial entropy.
Here, the optimal conversion of energy into correlations is investigated. Assuming the presence of a thermal
bath, we establish general bounds for arbitrary systems and construct a protocol saturating them. The amount
of correlations, quantified by the mutual information, can increase at most linearly with the available energy,
and we determine where the linear regime breaks down. We further consider the generation of genuine quantum
correlations, focusing on the fundamental constituents of our universe: fermions and bosons. For fermionic
modes, we find the optimal entangling protocol. For bosonic modes, we show that while Gaus
CitationBruschi, David Edward [et al.]. Thermodynamics of creating correlations: Limitations and optimal protocols. "Physical Review E: statistical, nonlinear, and soft matter physics", 11 Març 2015, vol. 91, núm. 032118.
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