Preprint Article Version 1 This version is not peer-reviewed

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

Version 1 : Received: 7 October 2019 / Approved: 9 October 2019 / Online: 9 October 2019 (08:16:16 CEST)

A peer-reviewed article of this Preprint also exists.

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

Journal reference: Entropy 2019, 21, 1150
DOI: 10.3390/e21121150

Abstract

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 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.

Subject Areas

landauer principle; binary logic; ternary logic; landauer bound; trit

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