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Landauer bound for analog computing systems.

M Cristina Diamantini1, Luca Gammaitoni2, Carlo A Trugenberger3

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Summary
This summary is machine-generated.

Information erasure in analog computing is linked to phase transitions, generalizing the Landauer bound. This implies all computations require finite bits, as infinite precision is physically impossible due to energy requirements.

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Area of Science:

  • Thermodynamics
  • Information Theory
  • Computational Physics

Background:

  • The Landauer bound quantifies the minimum energy dissipation for irreversible information processing.
  • Analog computing systems process information using continuous physical quantities.

Purpose of the Study:

  • To generalize the Landauer bound to analog computing systems.
  • To establish a relationship between information erasure and continuous phase transitions.

Main Methods:

  • Establishing a theoretical link between information erasure and continuous phase transitions.
  • Analyzing entropy production per degree of freedom during analog variable erasure.

Main Results:

  • The entropy production during analog variable erasure is proportional to the logarithm of its configurational volume.
  • The generalized Landauer bound is derived for analog systems.

Conclusions:

  • Infinite precision in analog computing is forbidden by fundamental physics.
  • All computations must utilize a finite number of bits, with implications for energy efficiency.