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Correlations as a resource in quantum thermodynamics.

Facundo Sapienza1, Federico Cerisola2,3, Augusto J Roncaglia4,5

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Correlations in physical systems reduce the energetic cost of creating states. Allowing logarithmic correlations in the asymptotic limit recovers standard free energy results, viewing correlations as a resource.

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Area of Science:

  • Quantum Information Science
  • Thermodynamics
  • Statistical Mechanics

Background:

  • Correlations in physical systems are crucial for quantum information tasks and thermodynamic transformations.
  • Creating correlations typically incurs an energetic cost.

Purpose of the Study:

  • To investigate the role of correlations in the thermodynamic process of state formation in the single-shot regime.
  • To determine if correlations can be considered a resource in thermodynamics.

Main Methods:

  • Analysis of state formation costs in the single-shot thermodynamic regime.
  • Derivation of minimum energetic costs for creating correlated states.
  • Asymptotic analysis of correlation costs.

Main Results:

  • The energetic cost of creating multiple copies of a state can be reduced by utilizing correlations.
  • Minimum costs are determined for any finite number of subsystems.
  • Logarithmic correlations in the asymptotic limit allow recovery of standard free energy results.

Conclusions:

  • Correlations can serve as a valuable resource in thermodynamic state formation.
  • The energetic cost of state formation is influenced by the presence and amount of correlations.
  • This work bridges quantum information theory and thermodynamics by quantifying the resourcefulness of correlations.