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Generalization of the Landauer Principle for Computing Devices Based on Many-Valued Logic

Department of Chemical Engineering, Engineering Sciences Faculty, Ariel University, Ariel 407000, Israel
Entropy 2019, 21(12), 1150; https://doi.org/10.3390/e21121150
Received: 7 October 2019 / Revised: 28 October 2019 / Accepted: 22 November 2019 / Published: 25 November 2019
(This article belongs to the Special Issue The Landauer Principle: Meaning, Physical Roots and Applications)
The Landauer principle asserts that “the information is physical”. In its strict meaning, Landauer’s principle states that there is a minimum possible amount of energy required to erase one bit of information, known as the Landauer bound W=kBTln2, where T is the temperature of a thermal reservoir used in the process and kB is Boltzmann’s constant. Modern computers use the binary system in which a number is expressed in the base-2 numeral system. We demonstrate that the Landauer principle remains valid for the physical computing device based on the ternary, and more generally, N-based logic. The energy necessary for erasure of one bit of information (the Landauer bound) W=kBTln2 remains untouched for the computing devices exploiting a many-valued logic.
Keywords: Landauer principle; binary logic; ternary logic; Landauer bound; trit Landauer principle; binary logic; ternary logic; Landauer bound; trit
MDPI and ACS Style

Bormashenko, E. Generalization of the Landauer Principle for Computing Devices Based on Many-Valued Logic. Entropy 2019, 21, 1150.

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