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Optimal finite-time bit erasure under full control.

Karel Proesmans1,2, Jannik Ehrich1, John Bechhoefer1

  • 1Department of Physics, Simon Fraser University, Burnaby, B.C., V5A 1S6, Canada.

Physical Review. E
|October 20, 2020
PubMed
Summary
This summary is machine-generated.

Researchers minimized the work needed to erase one bit of information in a finite time. Lower erasure costs are achievable by relaxing final state conditions, with costs inversely proportional to protocol duration.

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Area of Science:

  • Physics
  • Information Theory
  • Thermodynamics

Background:

  • Information erasure is fundamental to computation and thermodynamics.
  • Understanding the energetic cost of erasing information is crucial for efficient computing and data storage.

Purpose of the Study:

  • To investigate the finite-time erasure of a one-bit memory system.
  • To derive protocols minimizing the average work required for information erasure within a fixed time.
  • To explore the impact of final state conditions on erasure cost.

Main Methods:

  • Modeling a one-bit memory using a one-dimensional double-well potential.
  • Developing and analyzing work-minimizing protocols for potential-energy landscape control.
  • Calculating minimum work based on equilibrium Boltzmann distributions and final state constraints.

Main Results:

  • Derived protocols for minimum work erasure of one bit over a finite time.
  • Established an inverse relationship between minimum erasure work and protocol duration.
  • Showed that relaxing local-equilibrium final state requirements further reduces erasure cost.
  • Derived bounds on the information erasure cost.

Conclusions:

  • Finite-time information erasure has a quantifiable work cost.
  • Protocol optimization and flexible final state conditions can significantly reduce energy consumption for data erasure.
  • The study provides theoretical insights into the thermodynamics of information processing.