The Cellular Automaton Interpretation of Quantum Mechanics

The Cellular Automaton Interpretation of Quantum Mechanics

Author: Gerard 't Hooft

Publisher: Springer

Published: 2016-09-02

Total Pages: 296

ISBN-13: 331941285X

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This book presents the deterministic view of quantum mechanics developed by Nobel Laureate Gerard 't Hooft. Dissatisfied with the uncomfortable gaps in the way conventional quantum mechanics meshes with the classical world, 't Hooft has revived the old hidden variable ideas, but now in a much more systematic way than usual. In this, quantum mechanics is viewed as a tool rather than a theory. The author gives examples of models that are classical in essence, but can be analysed by the use of quantum techniques, and argues that even the Standard Model, together with gravitational interactions, might be viewed as a quantum mechanical approach to analysing a system that could be classical at its core. He shows how this approach, even though it is based on hidden variables, can be plausibly reconciled with Bell's theorem, and how the usual objections voiced against the idea of ‘superdeterminism' can be overcome, at least in principle. This framework elegantly explains - and automatically cures - the problems of the wave function collapse and the measurement problem. Even the existence of an “arrow of time" can perhaps be explained in a more elegant way than usual. As well as reviewing the author’s earlier work in the field, the book also contains many new observations and calculations. It provides stimulating reading for all physicists working on the foundations of quantum theory.


Quantum Cellular Automata

Quantum Cellular Automata

Author: Massimo Macucci

Publisher: Imperial College Press

Published: 2006

Total Pages: 299

ISBN-13: 1860949061

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The Quantum Cellular Automaton (QCA) concept represents an attempt to break away from the traditional three-terminal device paradigm that has dominated digital computation. Since its early formulation in 1993 at Notre Dame University, the QCA idea has received significant attention and several physical implementations have been proposed. This book provides a comprehensive discussion of the simulation approaches and the experimental work that have been undertaken on the fabrication of devices capable of demonstrating the fundamentals of QCA action. Complementary views of future perspectives for QCA technology are presented, highlighting a process of realistic simulation and of targeted experiments that can be assumed as a model for the evaluation of future device proposals. Contents: The Concept of Quantum-Dot Cellular Automata (C S Lent); QCA Simulation with the Occupation-Number Hamiltonian (M Macucci & M Governale); Realistic Time-Independent Models of a QCA Cell (J Martorell et al.); Time-Independent Simulation of QCA Circuits (L Bonci et al.); Simulation of the Time-Dependent Behavior of QCA Circuits with the Occupation-Number Hamiltonian (I Yakimenko & K-F Berggren); Time-Dependent Analysis of QCA Circuits with the Monte Carlo Method (L Bonci et al.); Implementation of QCA Cells with SOI Technology (F E Prins et al.); Implementation of QCA Cells in GaAs Technology (Y Jin et al.); Non-Invasive Charge Detectors (G Iannaccone et al.); Metal Dot QCA (G L Snider et al.); Molecular QCA (C S Lent); Magnetic Quantum-Dot Cellular Automata (MQCA) (A Imre et al.). Readership: Physicists, electronic engineers and academics.


Quantum Cellular Automata

Quantum Cellular Automata

Author: Massimo Macucci

Publisher: World Scientific

Published: 2006

Total Pages: 299

ISBN-13: 1860946321

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The Quantum Cellular Automaton (QCA) concept represents an attempt to break away from the traditional three-terminal device paradigm that has dominated digital computation. Since its early formulation in 1993 at Notre Dame University, the QCA idea has received significant attention and several physical implementations have been proposed. This book provides a comprehensive discussion of the simulation approaches and the experimental work that have been undertaken on the fabrication of devices capable of demonstrating the fundamentals of QCA action. Complementary views of future perspectives for QCA technology are presented, highlighting a process of realistic simulation and of targeted experiments that can be assumed as a model for the evaluation of future device proposals. Contents: The Concept of Quantum-Dot Cellular Automata (C S Lent); Simulation with the Occupation-Number Hamiltonian (M Macucci & M Governale); Realistic Time-Independent Models of a QCA Cell (J Martorell et al.); Time-Independent Simulation of QCA Circuits (L Bonci et al.); Simulation of the Time-Dependent Behavior of QCA Circuits with the Occupation-Number Hamiltonian (I Yakimenko & K-F Berggren); Time-Dependent Analysis of QCA Circuits with the Monte Carlo Method (L Bonci et al.); Implementation of QCA Cells with SOI Technology (F E Prins et al.); Implementation of QCA Cells in GaAs Technology (Y Jin et al.); Non-Invasive Charge Detectors (G Iannaccone et al.); Metal Dot QCA (G L Snider et al.); Molecular QCA (C S Lent); Magnetic Quantum-Dot Cellular Automata (MQCA) (A Imre et al.). Readership: Physicists, electronic engineers and academics.


Quantum-dot Cellular Automata Based Digital Logic Circuits

Quantum-dot Cellular Automata Based Digital Logic Circuits

Author: Trailokya Nath Sasamal

Publisher:

Published: 2020

Total Pages:

ISBN-13: 9789811518249

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This book covers several futuristic computing technologies like quantum computing, quantum-dot cellular automata, DNA computing, and optical computing. In turn, it explains them using examples and tutorials on a CAD tool that can help beginners get a head start in QCA layout design. It discusses research on the design of circuits in quantum-dot cellular automata (QCA) with the objectives of obtaining low-complexity, robust designs for various arithmetic operations. The book also investigates the systematic reduction of majority logic in the realization of multi-bit adders, dividers, ALUs, and memory.


Cellular Automata

Cellular Automata

Author: Alejandro Salcido

Publisher: BoD – Books on Demand

Published: 2011-04-11

Total Pages: 444

ISBN-13: 9533071729

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Modelling and simulation are disciplines of major importance for science and engineering. There is no science without models, and simulation has nowadays become a very useful tool, sometimes unavoidable, for development of both science and engineering. The main attractive feature of cellular automata is that, in spite of their conceptual simplicity which allows an easiness of implementation for computer simulation, as a detailed and complete mathematical analysis in principle, they are able to exhibit a wide variety of amazingly complex behaviour. This feature of cellular automata has attracted the researchers' attention from a wide variety of divergent fields of the exact disciplines of science and engineering, but also of the social sciences, and sometimes beyond. The collective complex behaviour of numerous systems, which emerge from the interaction of a multitude of simple individuals, is being conveniently modelled and simulated with cellular automata for very different purposes. In this book, a number of innovative applications of cellular automata models in the fields of Quantum Computing, Materials Science, Cryptography and Coding, and Robotics and Image Processing are presented.


Complexity, Entropy And The Physics Of Information

Complexity, Entropy And The Physics Of Information

Author: Wojciech H. Zurek

Publisher: CRC Press

Published: 2018-03-08

Total Pages: 545

ISBN-13: 0429971435

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This book has emerged from a meeting held during the week of May 29 to June 2, 1989, at St. John’s College in Santa Fe under the auspices of the Santa Fe Institute. The (approximately 40) official participants as well as equally numerous “groupies” were enticed to Santa Fe by the above “manifesto.” The book—like the “Complexity, Entropy and the Physics of Information” meeting explores not only the connections between quantum and classical physics, information and its transfer, computation, and their significance for the formulation of physical theories, but it also considers the origins and evolution of the information-processing entities, their complexity, and the manner in which they analyze their perceptions to form models of the Universe. As a result, the contributions can be divided into distinct sections only with some difficulty. Indeed, I regard this degree of overlapping as a measure of the success of the meeting. It signifies consensus about the important questions and on the anticipated answers: they presumably lie somewhere in the “border territory,” where information, physics, complexity, quantum, and computation all meet.


Non-Standard Computation

Non-Standard Computation

Author: Tino Gramß

Publisher: Wiley-VCH

Published: 1998-07-08

Total Pages: 252

ISBN-13:

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There's never enough computer power for challenging questions. Problems such as the design of turbines consisting of more than 100 parts or the simulation of systems of some 50 interacting particles are far beyond today's computer capacities. Or, how to find the shortest phone line connecting 100 given cities? The most promising answers to such questions come from unconventional technologies. The massive parallelism of molecular computers or the ingenious use of quantum systems by universal quantum computers provide solutions to the dilemma. And as for the phone line problem - genetic algorithms mimick the way nature found its way from the first cells to today's creatures. While relying on conventional computer hardware, they introduce an element of chance on the software level, thus circumventing the disadvantages of traditional deterministic algorithms. A textbook for those shaping the future of computing, this volume is also pure fun.


Electron Transport in Quantum Dots

Electron Transport in Quantum Dots

Author: Jonathan P. Bird

Publisher: Springer Science & Business Media

Published: 2013-11-27

Total Pages: 481

ISBN-13: 1461504376

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When I was contacted by Kluwer Academic Publishers in the Fall of 200 I, inviting me to edit a volume of papers on the issue of electron transport in quantum dots, I was excited by what I saw as an ideal opportunity to provide an overview of a field of research that has made significant contributions in recent years, both to our understanding of fundamental physics, and to the development of novel nanoelectronic technologies. The need for such a volume seemed to be made more pressing by the fact that few comprehensive reviews of this topic have appeared in the literature, in spite of the vast activity in this area over the course of the last decade or so. With this motivation, I set out to try to compile a volume that would fairly reflect the wide range of opinions that has emerged in the study of electron transport in quantum dots. Indeed, there has been no effort on my part to ensure any consistency between the different chapters, since I would prefer that this volume instead serve as a useful forum for the debate of critical issues in this still developing field. In this matter, I have been assisted greatly by the excellent series of articles provided by the different authors, who are widely recognized as some of the leaders in this vital area of research.