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We have previously proposed a way of using coupled quantum dots to construct digital computing elements - quantum-dot cellular automata (QCA). Here we consider a different approach to using coupled quantum-dot cells in an architecture…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Geza Toth , Craig S. Lent , P. Douglas Tougaw , Yuriy Brazhnik , Weiwen Weng , Wolfgang Porod , Ruey-Wen Liu , Yih-Fang Huang

We give a one-dimensional quantum cellular automaton (QCA) capable of simulating all others. By this we mean that the initial configuration and the local transition rule of any one-dimensional QCA can be encoded within the initial…

Quantum Physics · Physics 2008-12-10 Pablo Arrighi , Renan Fargetton , Zizhu Wang

We derive a set of algorithms for simulating the diffusion-limited growth of faceted crystals using local cellular automata. This technique has been shown to work well in reproducing realistic crystal morphologies, and the present work…

Materials Science · Physics 2008-07-17 Kenneth G. Libbrecht

In this paper a method is proposed which uses data mining techniques based on rough sets theory to select neighborhood and determine update rule for cellular automata (CA). According to the proposed approach, neighborhood is detected by…

Artificial Intelligence · Computer Science 2014-09-24 Bartlomiej Placzek

In this work, we investigate the computational aspects of asynchronous cellular automata (ACAs), a modification of cellular automata in which cells update independently, following an asynchronous schedule. We introduce flip automata…

Formal Languages and Automata Theory · Computer Science 2025-10-20 Ivan Baburin , Matthew Cook , Florian Grötschla , Andreas Plesner , Roger Wattenhofer

This paper studies three classes of cellular automata from a computational point of view: freezing cellular automata where the state of a cell can only decrease according to some order on states, cellular automata where each cell only makes…

Discrete Mathematics · Computer Science 2022-01-27 Nicolas Ollinger , Guillaume Theyssier

We carried out a Cellular Automata simulation of a model polyelectrolyte solution at infinite dilution, in order to reproduce qualitatively its conformational properties. Our results predict the so called \emph{pearl necklace} structures,…

Other Condensed Matter · Physics 2007-05-23 C. Echeverria , W. Olivares-Rivas , K. Tucci

A new class of linear sequence generators based on cellular automata is here introduced in order to model several nonlinear keystream generators with practical applications in symmetric cryptography. The output sequences are written as…

Cryptography and Security · Computer Science 2010-06-08 P. Caballero-Gil , A. Fúster-Sabater , M. E. Pazo-Robles

One of the most important and practical researches which has been considered by researchers is creating secure environments for information exchanges. Due to their structures, chaos systems are efficient tools in the are of data…

Cryptography and Security · Computer Science 2021-10-29 R. Parvaz , Y. Khedmati , Y. Behroo

We explore some aspects of phase transitions in cellular automata. We start recalling the standard formulation of statistical mechanics of discrete systems (Ising model), illustrating the Monte Carlo approach as Markov chains and stochastic…

Statistical Mechanics · Physics 2023-12-05 Franco Bagnoli , Raul Rechtman

This paper proposes several algorithms and their Cellular Automata Machine (CAM) for drawing the State Transition Diagram (STD) of an arbitrary Cellular Automata (CA) Rule (any neighborhood, uniform/ hybrid and null/ periodic boundary) and…

Cellular Automata and Lattice Gases · Physics 2008-11-11 Sudhakar Sahoo , Pabitra Pal Choudhury

In the near future the era of Beyond CMOS will start as the scaling of the current CMOS technology will reach the fundamental limit. QCA (Quantum-dot Cellular Automata) is the transistor less computation paradigm and viable candidate for…

Emerging Technologies · Computer Science 2017-11-23 Usha Mehta , Vaishali Dhare

Common random string model is a popular model in classical cryptography. We study a quantum analogue of this model called the common Haar state (CHS) model. In this model, every party participating in the cryptographic system receives many…

Quantum Physics · Physics 2024-07-12 Prabhanjan Ananth , Aditya Gulati , Yao-Ting Lin

Crowd simulation is used for evacuation and crowd safety inspections, study of performance in crowd systems and animations. Cellular automata has been extensively used in modelling the crowd. In regular cellular automata models, each…

Other Computer Science · Computer Science 2014-06-16 Siamak Sarmady , Fazilah Haron , Abdullah Zawawi Talib

We propose and investigate a probabilistic model of sublinear-time one-dimensional cellular automata. In particular, we modify the model of ACA (which are cellular automata that accept if and only if all cells simultaneously accept) so that…

Formal Languages and Automata Theory · Computer Science 2023-03-15 Augusto Modanese

Elementary cellular automata are the simplest form of cellular automata, studied extensively by Wolfram in the 1980s. He discovered complex behavior in some of these automata and developed a classification for all cellular automata based on…

Cellular Automata and Lattice Gases · Physics 2024-08-20 Gaspar Alfaro , Miguel A. F. Sanjuán

We introduce a novel framework of reservoir computing, that is capable of both connectionist machine intelligence and symbolic computation. Cellular automaton is used as the reservoir of dynamical systems. Input is randomly projected onto…

Emerging Technologies · Computer Science 2015-04-27 Ozgur Yilmaz

Emergent processes in complex systems such as cellular automata can perform computations of increasing complexity, and could possibly lead to artificial evolution. Such a feat would require scaling up current simulation sizes to allow for…

Cellular Automata and Lattice Gases · Physics 2021-04-05 Hugo Cisneros , Josef Sivic , Tomas Mikolov

In this paper, we study a block cipher based on cellular automata, proposed by Seredynski and Bouvry in \cite{semabo04} against \emph{plain-text avalanche criteria} and \emph{randomness} tests. Our experiments shows that Seredynski-Bouvry…

Cryptography and Security · Computer Science 2021-12-13 Hossein Arabnezhad , Babak Sadeghiyan

We demonstrate that the concept of a conservation law can be naturally extended from deterministic to probabilistic cellular automata (PCA) rules. The local function for conservative PCA must satisfy conditions analogous to conservation…

Cellular Automata and Lattice Gases · Physics 2009-11-10 Henryk Fukś