Dynamical Landauer principle: Thermodynamic criteria of transmitting classical information

Abstract

Transmitting energy and information are two essential aspects of nature. Recent findings suggest they are closely related, while a quantitative equivalence between them is still unknown. This thus motivates us to ask: Can information transmission tasks equal certain energy transmission tasks? We answer this question positively by bounding various one-shot classical capacities via different energy transmission tasks. Such bounds provide the physical implication that, in the one-shot regime, transmitting $n$ bits of classical information is equivalent to $n\times k_{B}T\ln 2$ transmitted energy. Unexpectedly, these bounds further uncover a dynamical version of Landauer's principle, showing the strong link between "transmitting" (rather than "erasing") information and energy. Finally, in the asymptotic regime, our findings further provide thermodynamic meanings for Holevo-Schumacher-Westmoreland Theorem and a series of strong converse properties as well as no-go theorems.

19+3 pages, 3 figures, closed to published version, companion paper of arXiv:2201.12110

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Cited by in corpus (5)

• Dynamical Landauer Principle: Quantifying Information Transmission by Thermodynamics
• Informational non-equilibrium concentration
• Complete characterisation of state conversions by work extraction
• Thermodynamic Constraints on Information Transmission in Quantum Ensembles
• General quantum resources providing advantages in work-extraction tasks