On logic gates with complex numbers

Logic gates can be written in terms of complex differential operators, where the inputs and outputs are holomorphic functions with several variables. Using the polar representation of complex numbers, we arrive at an immediate connection between the oscillatory behavior of the system and logic gates...

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Bibliographic Details
Published in:International journal of parallel, emergent and distributed systems Vol. 39; no. 6; pp. 682 - 695
Main Author: AlMasri, M. W.
Format: Journal Article
Language:English
Published: Abingdon Taylor & Francis 01.11.2024
Taylor & Francis Ltd
Subjects:
Analytic functions
Bargmann representation
Complex numbers
Complex variables
Differential equations
Gates
Logic circuits
Logic gates
Operators (mathematics)
physical systems
ISSN:1744-5760, 1744-5779
Online Access:Get full text
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Summary:Logic gates can be written in terms of complex differential operators, where the inputs and outputs are holomorphic functions with several variables. Using the polar representation of complex numbers, we arrive at an immediate connection between the oscillatory behavior of the system and logic gates. We discuss the universality of this formalism in a variety of computing systems.
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ISSN:1744-5760
1744-5779
DOI:10.1080/17445760.2024.2405970