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Minimum energy dissipation required for a logically irreversible operation.

Naoki Takeuchi1,2, Nobuyuki Yoshikawa1,3

  • 1Institute of Advanced Sciences, Yokohama National University, 79-5 Tokiwadai, Hodogaya, Yokohama 240-8501, Japan.

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This study reveals that while minimum heat emission in computing aligns with Landauer's principle, free energy dissipation for irreversible operations can be minimized. Logical reversibility does not equate to thermodynamic reversibility.

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Area of Science:

  • Thermodynamics
  • Computer Science
  • Quantum Computing

Background:

  • Landauer's principle links minimum heat emission to logical entropy (reversibility).
  • Experimental validation confirms heat emission correlates with entropy reduction during irreversible operations.
  • The precise free energy dissipation for logically irreversible operations remains unclear.

Purpose of the Study:

  • To investigate the relationship between logical reversibility and free energy dissipation.
  • To numerically demonstrate logically irreversible protocols using adiabatic superconductor logic.

Main Methods:

  • Numerical demonstration of logically irreversible protocols.
  • Utilizing adiabatic superconductor logic for calculations.
  • Analyzing work done during the protocols.

Main Results:

  • Minimum heat emission adheres to Landauer's principle.
  • Free energy dissipation can be minimized by performing protocols quasistatically.
  • Logical reversibility is distinct from thermodynamic reversibility.
  • Heat can be both emitted and absorbed by logic devices.

Conclusions:

  • Logical reversibility is not equivalent to thermodynamic reversibility.
  • Free energy dissipation in computing is more flexible than previously assumed.
  • Formulated heat emission for adiabatic superconductor logic at finite speeds.