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Related papers: On Wave-Based Majority Gates with Cellular Automat…

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Due to their very nature, Spin Waves (SWs) created in the same waveguide, but with different frequencies, can coexist while selectively interacting with their own species only. The absence of inter-frequency interferences isolates input…

Mesoscale and Nanoscale Physics · Physics 2021-09-14 Abdulqader Mahmoud , Frederic Vanderveken , Florin Ciubotaru , Christoph Adelmann , Sorin Cotofana , Said Hamdioui

We report on the first experimental demonstration of majority logic operation using spin waves in a scaled device with an in-line input and output layout. The device operation is based on the interference of spin waves generated and…

Mesoscale and Nanoscale Physics · Physics 2021-06-22 Florin Ciubotaru , Giacomo Talmelli , Thibaut Devolder , Odysseas Zografos , Marc Heyns , Christoph Adelmann , Iuliana P. Radu

We study a Life-like cellular automaton rule $B2/S2345$ where a cell in state `0' takes state `1' if it has exactly two neighbors in state `1' and the cell remains in the state `1' if it has between two and five neighbors in state `1.' This…

Pattern Formation and Solitons · Physics 2011-06-16 Genaro J. Martinez , Andrew Adamatzky , Kenichi Morita , Maurice Margenstern

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

A random boolean cellular automaton is a network of boolean gates where the inputs, the boolean function, and the initial state of each gate are chosen randomly. In this article, each gate has two inputs. Let $a$ (respectively $c$) be the…

adap-org · Physics 2008-02-03 James F. Lynch

Quantum dot Cellular Automata (QCA) is a novel and potentially attractive technology for implementing computing architectures at the nanoscale. The basic Boolean primitive in QCA is the majority gate. In this paper we present a novel design…

Emerging Technologies · Computer Science 2016-11-15 Mostafa Rahimi Azghadi , O. Kavehie , K. Navi

Featuring low heat dissipation, devices based on spin-wave logic gates promise to comply with increasing future requirements in information processing. In this work, we present the experimental realization of a majority gate based on the…

Emerging Technologies · Computer Science 2017-04-26 T. Fischer , M. Kewenig , D. A. Bozhko , A. A. Serga , I. I. Syvorotka , F. Ciubotaru , C. Adelmann , B. Hillebrands , A. V. Chumak

Explicit controlled-NOT gate sequences between two qubits of different types are presented in view of applications for large-scale quantum computation. Here, the building blocks for such composite systems are qubits based on the…

Quantum Physics · Physics 2019-11-14 E. Ferraro , M. Fanciulli , M. De Michielis

Electromagnetic wave-based computing has emerged as an exciting paradigm with the potential to enable high-speed, parallel operations. In conventional computing, elementary logic gates, such as AND, OR, NOT and XOR, form the building blocks…

Applied Physics · Physics 2025-08-27 Ross Glyn MacDonald , Alex Yakovlev , Victor Pacheco-Peña

A variant of Kauffman's model of cellular metabolism is presented. It is a randomly generated network of boolean gates, identical to Kauffman's except for a small bias in favor of boolean gates that depend on at most one input. The bias is…

adap-org · Physics 2009-10-22 James F. Lynch

The design of a microstructured, fully functional spin-wave majority gate is presented and studied using micromagnetic simulations. This all-magnon logic gate consists of three-input waveguides, a spin-wave combiner and an output waveguide.…

A transition from asymmetric to symmetric patterns in time-dependent extended systems is described. It is found that one dimensional cellular automata, started from fully random initial conditions, can be forced to evolve into complex…

Cellular Automata and Lattice Gases · Physics 2007-05-23 J. R. Sanchez , R. Lopez-Ruiz

This paper considers a dynamic coverage problem for sensor networks that are sufficiently dense but not localized. Only a small fraction of sensors may be in an awake state at any given time. The goal is to find a decentralized protocol for…

Algebraic Topology · Mathematics 2012-10-19 Yiqing Cai , Robert Ghrist

By their very nature, voltage/current excited Spin Waves (SWs) propagate through waveguides without consuming noticeable power. If SW excitation is performed by the continuous application of voltages/currents to the input, which is usually…

Mesoscale and Nanoscale Physics · Physics 2021-06-22 Abdulqader Mahmoud , Frederic Vanderveken , Christoph Adelmann , Florin Ciubotaru , Said Hamdioui , Sorin Cotofana

The statistical model proposed in an accompanying paper is generalized to treat multiport scattering problems. Attention is first focused on two-port lossless systems and the model is shown to be consistent with Random Matrix Theory. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Xing Zheng , Thomas M. Antonsen , Edward Ott

The cellular automata discrete dynamical system is considered as the two-stage process: the majority rule for the change in the automata state and the rule for the change in topological relations between automata. The influence of changing…

Statistical Mechanics · Physics 2007-05-23 Danuta Makowiec

A Cellular Automata (CA) rule is presented that can generate "loop patterns" in a 2D grid under fixed boundary conditions. A loop is a cyclically closed path represented by one-cells enclosed by zero-cells. A loop pattern can contain…

Cellular Automata and Lattice Gases · Physics 2025-05-30 Rolf Hoffmann , Mariusz Białecki

Random boolean cellular automata are investigated, where each gate has two randomly chosen inputs and is randomly assigned a boolean function of its inputs. The effect of non-uniform distributions on the choice of the boolean functions is…

adap-org · Physics 2008-02-03 James F. Lynch

We present a quantum averaging theory (QAT) for analytically modeling unitary gate dynamics in driven quantum systems beyond the rotating-wave approximation. QAT addresses the simultaneous presence of distinct timescales by generating a…

Quantum Physics · Physics 2026-01-05 Kristian D. Barajas , Wesley C. Campbell

Thermal noise in a cellular automaton refers to a random perturbation to its function which eventually leads this automaton to an equilibrium state controlled by a temperature parameter. We study the 1-dimensional majority-3 cellular…

Statistical Mechanics · Physics 2015-06-17 Rémi Lemoy , Alexander Mozeika , Shinnosuke Seki
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