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Dynamical Landauer Principle: Quantifying Information Transmission by Thermodynamics.

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This study reveals a fundamental link between energy transfer and information transmission. Transmitting classical bits is equivalent to specific energy tasks, quantifying communication using thermodynamics and uncovering a dynamical Landauer's principle.

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Area of Science:

  • Thermodynamics
  • Information Theory
  • Quantum Dynamics

Background:

  • Energy transfer and information transmission are fundamental natural processes.
  • Recent findings suggest a deep, yet undiscovered, connection between these two domains.
  • The study investigates whether classical information transmission can be equivalently described as energy transmission tasks.

Purpose of the Study:

  • To establish an analytical correspondence between classical information transmission and thermodynamic energy tasks.
  • To quantify classical communication processes using thermodynamic principles.
  • To uncover foundational links between information theory and thermodynamics.

Main Methods:

  • Analysis of quantum dynamics for classical communication tasks.
  • Formulation of energy-transmitting tasks equivalent to information transmission.
  • Investigation in both general and asymptotic regimes.

Main Results:

  • Demonstrated equivalence between transmitting n bits of classical information and n units of energy.
  • Established a quantitative link between information transmission and energy extraction.
  • Uncovered a dynamical version of Landauer's principle, highlighting the information-energy connection.

Conclusions:

  • Classical communication can be precisely quantified by thermodynamic tasks.
  • The findings reveal a strong, dynamical link between information and energy.
  • Thermodynamic interpretations are provided for key theorems in quantum communication theory, such as the Holevo-Schumacher-Westmoreland theorem.