Quantum Computation And Logic
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Quantum Computation And Logic
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Author : Maria Luisa Dalla Chiara
language : en
Publisher: Springer
Release Date : 2018-12-10
Quantum Computation And Logic written by Maria Luisa Dalla Chiara and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-10 with Philosophy categories.
This book provides a general survey of the main concepts, questions and results that have been developed in the recent interactions between quantum information, quantum computation and logic. Divided into 10 chapters, the books starts with an introduction of the main concepts of the quantum-theoretic formalism used in quantum information. It then gives a synthetic presentation of the main “mathematical characters” of the quantum computational game: qubits, quregisters, mixtures of quregisters, quantum logical gates. Next, the book investigates the puzzling entanglement-phenomena and logically analyses the Einstein–Podolsky–Rosen paradox and introduces the reader to quantum computational logics, and new forms of quantum logic. The middle chapters investigate the possibility of a quantum computational semantics for a language that can express sentences like “Alice knows that everybody knows that she is pretty”, explore the mathematical concept of quantum Turing machine, and illustrate some characteristic examples that arise in the framework of musical languages. The book concludes with an analysis of recent discussions, and contains a Mathematical Appendix which is a survey of the definitions of all main mathematical concepts used in the book.
Quantum Logic
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Author : Karl Svozil
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-09-01
Quantum Logic written by Karl Svozil and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-09-01 with Science categories.
Quantum Logic deals with the foundations of quantum mechanics and, related to it, the behaviour of finite, discrete deterministic systems. The quantum logical approach is particulalry suitable for the investigation and exclusion of certain hidden parameter models of quantum mechanics. Conversely, it can be used to embed quantum universes into classical ones. It is also highly relevant for the characterization of finite automation. This book has been written with a broad readership in mind. Great care has been given to the motivation of the concepts and to the explicit and detailed discussions of examples.
Introduction To Quantum Computers
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Author : Gennady P Berman
language : en
Publisher: World Scientific
Release Date : 1998-07-07
Introduction To Quantum Computers written by Gennady P Berman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-07-07 with Science categories.
Quantum computing promises to solve problems which are intractable on digital computers. Highly parallel quantum algorithms can decrease the computational time for some problems by many orders of magnitude. This important book explains how quantum computers can do these amazing things. Several algorithms are illustrated: the discrete Fourier transform, Shor's algorithm for prime factorization; algorithms for quantum logic gates; physical implementations of quantum logic gates in ion traps and in spin chains; the simplest schemes for quantum error correction; correction of errors caused by imperfect resonant pulses; correction of errors caused by the nonresonant actions of a pulse; and numerical simulations of dynamical behavior of the quantum Control-Not gate. An overview of some basic elements of computer science is presented, including the Turing machine, Boolean algebra, and logic gates. The required quantum ideas are explained.
Reversible Logic Synthesis
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Author : Anas N. Al-Rabadi
language : en
Publisher: Springer Science & Business Media
Release Date : 2004
Reversible Logic Synthesis written by Anas N. Al-Rabadi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Computers categories.
For the first time in book form, this comprehensive and systematic monograph presents methods for the reversible synthesis of logic functions and circuits. It is illustrated with a wealth of examples and figures that describe in detail the systematic methodologies of synthesis using reversible logic.
Reversible Logic Synthesis Methodologies With Application To Quantum Computing
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Author : Saleem Mohammed Ridha Taha
language : en
Publisher: Springer
Release Date : 2015-09-24
Reversible Logic Synthesis Methodologies With Application To Quantum Computing written by Saleem Mohammed Ridha Taha and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-24 with Technology & Engineering categories.
This book opens the door to a new interesting and ambitious world of reversible and quantum computing research. It presents the state of the art required to travel around that world safely. Top world universities, companies and government institutions are in a race of developing new methodologies, algorithms and circuits on reversible logic, quantum logic, reversible and quantum computing and nano-technologies. In this book, twelve reversible logic synthesis methodologies are presented for the first time in a single literature with some new proposals. Also, the sequential reversible logic circuitries are discussed for the first time in a book. Reversible logic plays an important role in quantum computing. Any progress in the domain of reversible logic can be directly applied to quantum logic. One of the goals of this book is to show the application of reversible logic in quantum computing. A new implementation of wavelet and multiwavelet transforms using quantum computing is performed for this purpose. Researchers in academia or industry and graduate students, who work in logic synthesis, quantum computing, nano-technology, and low power VLSI circuit design, will be interested in this book.
Quantum Computing Pathway Quantum Log
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Author : Hafiz Md Hasan Babu
language : en
Publisher: IOP Publishing Limited
Release Date : 2020-05-18
Quantum Computing Pathway Quantum Log written by Hafiz Md Hasan Babu and has been published by IOP Publishing Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-18 with SCIENCE categories.
In this essential resource for students and active researchers readers are introduced to quantum computing and quantum logic, fault tolerant quantum computing and quantum dot cellular automata.
Quantum Computing For Everyone
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Author : Chris Bernhardt
language : en
Publisher: MIT Press
Release Date : 2019-03-19
Quantum Computing For Everyone written by Chris Bernhardt and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-19 with Computers categories.
An accessible introduction to an exciting new area in computation, explaining such topics as qubits, entanglement, and quantum teleportation for the general reader. Quantum computing is a beautiful fusion of quantum physics and computer science, incorporating some of the most stunning ideas from twentieth-century physics into an entirely new way of thinking about computation. In this book, Chris Bernhardt offers an introduction to quantum computing that is accessible to anyone who is comfortable with high school mathematics. He explains qubits, entanglement, quantum teleportation, quantum algorithms, and other quantum-related topics as clearly as possible for the general reader. Bernhardt, a mathematician himself, simplifies the mathematics as much as he can and provides elementary examples that illustrate both how the math works and what it means. Bernhardt introduces the basic unit of quantum computing, the qubit, and explains how the qubit can be measured; discusses entanglement—which, he says, is easier to describe mathematically than verbally—and what it means when two qubits are entangled (citing Einstein's characterization of what happens when the measurement of one entangled qubit affects the second as “spooky action at a distance”); and introduces quantum cryptography. He recaps standard topics in classical computing—bits, gates, and logic—and describes Edward Fredkin's ingenious billiard ball computer. He defines quantum gates, considers the speed of quantum algorithms, and describes the building of quantum computers. By the end of the book, readers understand that quantum computing and classical computing are not two distinct disciplines, and that quantum computing is the fundamental form of computing. The basic unit of computation is the qubit, not the bit.
Quanta Logic And Spacetime
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Author : Stephen Allan Selesnick
language : en
Publisher: World Scientific
Release Date : 2003
Quanta Logic And Spacetime written by Stephen Allan Selesnick and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
In this expanded edition of Quanta, Logic and Spacetime, the logical base is greatly broadened and quantum-computational aspects of the approach are brought to the fore. The first two parts of this edition may indeed be regarded as providing a self-contained and logic-based foundation for OCo and an introduction to OCo the enterprise known as quantum computing. The rest of the work takes on the task (as in the first edition) of computing from first principles certain dynamical expressions which turn out to compare favorably with the Lagrangian densities of the (massless) Standard Model, including gravity. The logic of this process is now subject to greater formal rigor than was possible in the first edition, and the central thesis OCo that quantum physics at a fundamental level may itself be realized as a species of quantum computation OCo is strongly underscored. Errata. Errata (159 KB). Sample Chapter(s). Foundations (207 KB). Contents: Preliminaries: Foundations: Quantum Sets; Group Duality, Coherence and Cyclic Actions; Computational Paradigms: Natural Deduction; Quantum Logic; The Computational Resources of Quantum Logic; The Plenum: A Quantum Net; Towards a Correspondence Principle for the Quantum Net; A Correspondence Principle for the Quantum Net; Dynamics I; Dynamics II; Comparisons, Interpretations and Speculations. Readership: Mathematicians and physicists."
Quantum Computing Since Democritus
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Author : Scott Aaronson
language : en
Publisher: Cambridge University Press
Release Date : 2013-03-14
Quantum Computing Since Democritus written by Scott Aaronson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Computers categories.
Takes students and researchers on a tour through some of the deepest ideas of maths, computer science and physics.