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Area of Science:

  • Quantum thermodynamics
  • Statistical mechanics
  • Information theory

Background:

  • Quantum systems exhibit unique correlations and coherence.
  • Traditional measurement schemes can disrupt these quantum properties.
  • Understanding heat exchange in quantum systems is crucial.

Purpose of the Study:

  • To derive detailed and integral quantum fluctuation theorems for heat exchange.
  • To fully capture quantum correlations and coherence in bipartite thermal systems.
  • To develop a framework that preserves quantum features during analysis.

Main Methods:

  • Utilizing dynamic Bayesian networks.
  • Deriving fluctuation relations for quantum correlated bipartite thermal systems.
  • Analyzing heat exchange at arbitrary times.

Main Results:

  • Successfully derived detailed and integral quantum fluctuation theorems.
  • Demonstrated that the derived theorems capture quantum correlations and coherence.
  • Obtained individual integral fluctuation theorems for classical/quantum correlations and local/global coherences.

Conclusions:

  • The dynamic Bayesian network framework effectively captures quantum features in heat exchange.
  • The derived fluctuation theorems offer a new tool for studying quantum thermodynamics.
  • This approach overcomes limitations of traditional measurement schemes in preserving quantum properties.