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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…

Quantum Physics · Physics 2024-12-05 M. W. AlMasri

We discuss possible designs and prototypes of computing systems that could be based on morphological development of roots, interaction of roots, and analog electrical computation with plants, and plant-derived electronic components. In…

Multi-valued logic gates, which can handle quaternary numbers as inputs, are developed by exploiting the ballistic transport properties of quantum point contacts in series. The principle of a logic gate that finds the minimum of two…

Mesoscale and Nanoscale Physics · Physics 2014-02-26 M. Seo , C. Hong , S. -Y. Lee , H. K. Choi , N. Kim , Y. Chung , V. Umansky , D. Mahalu

Using logic gates is the traditional way of designing logic circuits. However, most of the minimization algorithms concern a limited set of gates (complete sets), like sum of products, exclusive-or sum of products, NAND gates, NOR gates…

Hardware Architecture · Computer Science 2021-05-18 A. C. Dimopoulos , C. Pavlatos , G. Papakonstantinou

Quantum logic gates provide fundamental examples of conditional quantum dynamics. They could form the building blocks of general quantum information processing systems which have recently been shown to have many interesting non--classical…

Quantum Physics · Physics 2009-10-28 A. Barenco , D. Deutsch , A. Ekert , R. Jozsa

In this study, we construct the quantum reversible counterparts of the logical AND, OR, XOR, NOR, and NAND gates. We utilize a quantum Fourier transform (QFT)-based adder circuit that replicates the functionality of a digital half-adder,…

Quantum Physics · Physics 2025-04-25 Ayda Kaltehei , Murat Kurt , Azmi Gençten , Selçuk Çakmak

Electronic logic gates are the basic building blocks of every computing and micro controlling system. Logic gates are made of switches, such as diodes and transistors. Ion-selective, ionic switches may emulate electronic switches [1-8]. If…

Chemical Physics · Physics 2017-10-11 Haim Grebel

Living substrates are capable for nontrivial mappings of electrical signals due to the substrate nonlinear electrical characteristics. This property can be used to realise Boolean functions. Input logical values are represented by amplitude…

Emerging Technologies · Computer Science 2021-08-12 Nic Roberts , Andrew Adamatzky

Memristors are promising next-generation memory candidates that are nonvolatile, possess low power requirements and are capable of nanoscale fabrication. In this article we physically realise and describe the use of organic memristors in…

Emerging Technologies · Computer Science 2012-12-17 Victor Erokhin , Gerard David Howard , Andrew Adamatzky

A rotation-based synthesis framework for reversible logic is proposed. We develop a canonical representation based on binary decision diagrams and introduce operators to manipulate the developed representation model. Furthermore, a…

Emerging Technologies · Computer Science 2013-03-26 Afshin Abdollahi , Mehdi Saeedi , Massoud Pedram

Mycelium networks are promising substrates for designing unconventional computing devices providing rich topologies and geometries where signals propagate and interact. Fulfilling our long-term objectives of prototyping electrical analog…

Emerging Technologies · Computer Science 2021-07-02 Alexander E. Beasley , Phil Ayres , Martin Tegelaar , Michail-Antisthenis Tsompanas , Andrew Adamatzky

We study a two-dimensional semi-totalistic binary cell-state cellular automaton, which imitates a reversible precipitation in an abstract chemical medium. The systems exhibits a non-trivial growth and nucleation. We demonstrate how basic…

Cellular Automata and Lattice Gases · Physics 2011-06-16 Genaro Juarez Martinez , Andrew Adamatzky , Ben De Lacy Costello

We explore the possibilities of designing classical logic gates at nano-scale level using magnetic quantum rings. A single ring is used for designing OR, NOT, XOR, XNOR and NAND gates, while AND and NOR gate responses are achieved using two…

Mesoscale and Nanoscale Physics · Physics 2011-02-22 Santanu K. Maiti

Construction of parallel logic gates at nano-scale level undoubtedly improves the efficiency of computable operations. In this work we put forward a new idea of designing two distinct logical operations {\em simultaneously} in the two…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Moumita Patra , Santanu K. Maiti

A logical zonotope, which is a new set representation for binary vectors, is introduced in this paper. A logical zonotope is constructed by XOR-ing a binary vector with a combination of other binary vectors called generators. Such a…

Systems and Control · Electrical Eng. & Systems 2023-08-29 Amr Alanwar , Frank J. Jiang , Samy Amin , Karl H. Johansson

Quantum computation using electron spins in three coupled dot with different size is proposed. By using the energy selectivity of both photon assisted tunneling and spin rotation of electrons, logic gates are realized by static and…

Quantum Physics · Physics 2007-05-23 H. Sasakura , S. Muto

Plasmodium of \emph{Physarum polycephalum} is a single cell visible by unaided eye. The plasmodium's foraging behaviour is interpreted in terms of computation. Input data is a configuration of nutrients, result of computation is a network…

Pattern Formation and Solitons · Physics 2015-03-17 Jeff Jones , Andrew Adamatzky

This is an exposition of some basic mathematical aspects of quantum logic gates. At first we established some general formulas for the case of arbitrary quantum gate A with unique restriction A^2=I. The explicit form of the generators and…

Quantum Physics · Physics 2007-05-23 R. Muradian , Diego Frias

An information processing circuit must be flexible to perform multiple tasks: biochemical information processing circuits in living systems can have multiple functions, requiring them to perform distinct computational tasks in different…

Molecular Networks · Quantitative Biology 2021-11-30 Mohammadreza Bahadorian , Carl D. Modes

Any function can be constructed using a hierarchy of simpler functions through compositions. Such a hierarchy can be characterized by a binary rooted tree. Each node of this tree is associated with a function which takes as inputs two…

Machine Learning · Computer Science 2019-10-23 Roozbeh Farhoodi , Khashayar Filom , Ilenna Simone Jones , Konrad Paul Kording
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