Minimal Energy Cost for Thermodynamic Information Processing: Measurement and Information Erasure

Abstract

The fundamental lower bounds of the thermodynamic energy cost (work) needed for the measurement and the erasure of information are found. The lower bound for the erasure vindicates the "Landauer's principle" for a special case, but otherwise implies its breakdown, indicating that no unique relationship exists between logical reversibility and physical one. Our results constitute the second law of "information thermodynamics", in which the information content and thermodynamic variables are treated on an equal footing.

References in corpus (7)

• Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
• The Physics of Maxwell's demon and information
• Dissipation: The phase-space perspective
• Second Law of Thermodynamics with Discrete Quantum Feedback Control
• The second law, Maxwell's daemon and work derivable from quantum heat engines
• Quantum Heat Engines Using Superconducting Quantum Circuits
• Generalising Landauer's Principle

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