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.
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 Science 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 ? and an introduction to ? 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 ? that quantum physics at a fundamental level may itself be realized as a species of quantum computation ? is strongly underscored.
Quantum Computing
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Author : Hafiz M. H. Babu
language : en
Publisher:
Release Date : 2020
Quantum Computing written by Hafiz M. H. Babu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with SCIENCE categories.
Quantum computing is an emerging technology with the potential to have a significant impact on science and technology. Recent advances in mathematics, material science and computer engineering are transforming quantum computing from theory into practice. As quantum computing is an entirely different concept compared to classical computers it is necessary to develop a new way of thinking to establish the new technologies for the current quantum revolution. This book is an essential resource both for students and active researchers where the readers are introduced to quantum computing and quantum logic, fault tolerant quantum computing and quantum dot cellular automata.
Neutrosophic Logic Based Quantum Computing
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Author : Ahmet Çevik
language : en
Publisher: Infinite Study
Release Date :
Neutrosophic Logic Based Quantum Computing written by Ahmet Çevik and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
We introduce refined concepts for neutrosophic quantum computing such as neutrosophic quantum states and transformation gates, neutrosophic Hadamard matrix, coherent and decoherent superposition states, entanglement and measurement notions based on neutrosophic quantum states. We also give some observations using these principles. We present a number of quantum computational matrix transformations based on neutrosophic logic and clarify quantum mechanical notions relying on neutrosophic states. The paper is intended to extend the work of Smarandache by introducing a mathematical framework for neutrosophic quantum computing and presenting some results.
Introduction To Quantum Computers
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Author : Gennady P. Berman
language : en
Publisher: World Scientific
Release Date : 1998
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 with Computers 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.
Reasoning In Quantum Theory
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Author : Maria Luisa Dalla Chiara
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Reasoning In Quantum Theory written by Maria Luisa Dalla Chiara 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 2013-03-09 with Mathematics categories.
"Is quantum logic really logic?" This book argues for a positive answer to this question once and for all. There are many quantum logics and their structures are delightfully varied. The most radical aspect of quantum reasoning is reflected in unsharp quantum logics, a special heterodox branch of fuzzy thinking. For the first time, the whole story of Quantum Logic is told; from its beginnings to the most recent logical investigations of various types of quantum phenomena, including quantum computation. Reasoning in Quantum Theory is designed for logicians, yet amenable to advanced graduate students and researchers of other disciplines.
Quantum Computation
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Author : Andreas De Vries
language : en
Publisher: BoD – Books on Demand
Release Date : 2012
Quantum Computation written by Andreas De Vries and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Fiction categories.
Since the 1980s research on quantum computation has dramatically changed the theoretical perspectives of computer science. Quantum computers could enable unprecedented computational power and revolutionize our cryptographic systems, even our entire electronic communication. This textbook gives an introduction to the theory of quantum computation. The author has chosen an elementary and lean theoretical approach, presupposing mathematical and physical knowledge which is standard in undergraduate courses of scientific or engineering studies, in essence linear algebra and complex numbers. The necessary mathematical notions are given in the appendix. Contents - Strange quantum world, qubits und quantum gates - Quantum Fourier transformation and QFT algorithms - Quantum search, quantum communication, error correcting quantum codes - How to build and simulate a quantum computer - Density operators and measurements - Complexity theory and quantum logic Who should read this book? - Students of engineering, especially electronic engineering - Students of computer science, physics, or mathematics - Practitioners in business and economy who want to understand, apply, or evaluate this new technology
Logic And Algebraic Structures In Quantum Computing
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Author : Jennifer Chubb
language : en
Publisher: Cambridge University Press
Release Date : 2016-02-26
Logic And Algebraic Structures In Quantum Computing written by Jennifer Chubb 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 2016-02-26 with Computers categories.
Experts in the field explore the connections across physics, quantum logic, and quantum computing.
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.
Compact Representations For The Design Of Quantum Logic
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Author : Philipp Niemann
language : en
Publisher: Springer
Release Date : 2017-08-21
Compact Representations For The Design Of Quantum Logic written by Philipp Niemann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-21 with Computers categories.
This book discusses modern approaches and challenges of computer-aided design (CAD) of quantum circuits with a view to providing compact representations of quantum functionality. Focusing on the issue of quantum functionality, it presents Quantum Multiple-Valued Decision Diagrams (QMDDs – a means of compactly and efficiently representing and manipulating quantum logic. For future quantum computers, going well beyond the size of present-day prototypes, the manual design of quantum circuits that realize a given (quantum) functionality on these devices is no longer an option. In order to keep up with the technological advances, methods need to be provided which, similar to the design and synthesis of conventional circuits, automatically generate a circuit description of the desired functionality. To this end, an efficient representation of the desired quantum functionality is of the essence. While straightforward representations are restricted due to their (exponentially) large matrix descriptions and other decision diagram-like structures for quantum logic suffer from not comprehensively supporting typical characteristics, QMDDs employ a decomposition scheme that more naturally models quantum systems. As a result, QMDDs explicitly support quantum-mechanical effects like phase shifts and are able to take more advantage of corresponding redundancies, thereby allowing a very compact representation of relevant quantum functionality composed of dozens of qubits. This provides the basis for the development of sophisticated design methods as shown for quantum circuit synthesis and verification.