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Integral quantum fluctuation theorems under measurement and feedback control.

Ken Funo1, Yu Watanabe2, Masahito Ueda1

  • 1Department of Physics, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
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Summary
This summary is machine-generated.

We derived new quantum fluctuation theorems and Jarzynski equalities for feedback-controlled systems. These results incorporate measurement back-action and information exchange, unifying thermodynamics with quantum information.

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Area of Science:

  • Quantum thermodynamics
  • Information theory
  • Measurement theory

Background:

  • Classical fluctuation theorems and Jarzynski equalities describe non-equilibrium thermodynamics.
  • Quantum systems introduce unique challenges due to measurement back-action and information encoding.

Purpose of the Study:

  • To derive quantum fluctuation theorems and Jarzynski equalities for feedback-controlled quantum systems.
  • To incorporate the role of information content and measurement back-action into these thermodynamic relations.
  • To demonstrate the consistency with the generalized second law of thermodynamics.

Main Methods:

  • Derivation of integral quantum fluctuation theorems.
  • Formulation of quantum Jarzynski equalities for systems with memory.
  • Analysis of information exchange and measurement back-action effects.

Main Results:

  • Established novel quantum fluctuation theorems and Jarzynski equalities.
  • Quantified the influence of information content and measurement back-action.
  • Showcased the connection between information, thermodynamics, and quantum measurement.

Conclusions:

  • The derived equalities provide a quantum mechanical foundation for non-equilibrium thermodynamics under measurement and feedback.
  • Information plays a crucial role in reconciling thermodynamics with quantum measurement processes.
  • The generalized second law of thermodynamics is consistently reproduced within this quantum framework.