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Resetting one bit of information in a finite time is possible with minimal work cost, approaching Landauer's limit. This breakthrough enables efficient quantum heat engines operating near Carnot efficiency.

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Area of Science:

  • Thermodynamics
  • Information Theory
  • Quantum Mechanics

Background:

  • Landauer's principle establishes a minimum work cost (kBTln2) to reset one bit of information.
  • This theoretical minimum is only achievable in an unphysical infinite-time limit.
  • Finite-time constraints pose a challenge to achieving this thermodynamic bound.

Purpose of the Study:

  • To investigate the feasibility of resetting one bit within finite time protocols.
  • To develop an explicit protocol for near-minimal work cost information erasure.
  • To design a finite-time quantum heat engine approaching Carnot efficiency.

Main Methods:

  • Analytical proof of finite-time bit reset feasibility.
  • Construction of a specific protocol involving thermalization and Hamiltonian changes.
  • Application of single-shot statistical mechanics for rigorous analysis.
  • Design of a quantum heat engine based on the developed protocol.

Main Results:

  • Demonstrated analytical possibility of resetting a bit with work cost close to kBTln2 in finite time.
  • Developed an explicit protocol avoiding quantum coherences.
  • Proved that dissipated heat is exponentially close to the minimum bound with high confidence.
  • Designed a quantum heat engine operating near Carnot efficiency in finite time.

Conclusions:

  • Finite-time information erasure is achievable with near-minimal thermodynamic cost.
  • The developed protocol offers a practical approach to information resetting.
  • This work paves the way for efficient finite-time quantum thermal machines.